Finite Group Databasebeta

← #35196947

Subgroups — #35196947

Order 20224.

7338 conjugacy classes of subgroups.

The subgroup lattice has 2828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777704C212yesmaximal, complemented
2#23777702C212yesmaximal, complemented
3#23777698C212yesmaximal, complemented
4#23777695C212yesmaximal, complemented
5#23777677C212yesmaximal, complemented
6#23777674C212yesmaximal, complemented
7#23777655C212yesmaximal, complemented
8#23777653C212yesmaximal, complemented
9#23777570C214yesmaximal, complemented
10#23777549C214yesmaximal, complemented
11#23777450C212yesmaximal, complemented
12#23777443C212yesmaximal, complemented
13#23777429C212yesmaximal, complemented
14#23777420C212yesmaximal, complemented
15#23777335C214yesmaximal, complemented
16#23777333C214yesmaximal, complemented
17#23777250C212yesmaximal, complemented
18#23777243C212yesmaximal, complemented
19#23777241C212yesmaximal, complemented
20#23777236C212yesmaximal, complemented
21#23777149C211yesmaximal, characteristic, complemented
22#23777146C211yesmaximal, characteristic, complemented
23#23777137C211yesmaximal, characteristic, complemented
24#23777136C211yesmaximal, characteristic, complemented
25#23777119C211yesmaximal, characteristic, complemented
26#23777113C211yesmaximal, characteristic, complemented
27#23777073C211yesmaximal, characteristic, complemented
28#23777069C211yesmaximal, characteristic, complemented
29#23777064C211yesmaximal, characteristic, complemented
30#23777055C211yesmaximal, characteristic, complemented
31#23777043C211yesmaximal, characteristic, complemented
32C2×#19099076C211yesmaximal, characteristic, complemented
33C2×#19099070C211yesmaximal, characteristic, complemented
34#525×D79C211yesmaximal, characteristic, complemented
35C79×#3489C211yesmaximal, characteristic, complemented
36C2×#14579207C2211yescharacteristic, complemented
37C22×#11929625C2211yescharacteristic, complemented
38C2×#41×D79C2211yescharacteristic, complemented
39C23×C4×D79C2211yescharacteristic, complemented
40#19099312C2214yescomplemented
41#19099310C2214yescomplemented
42#19099309C2214yescomplemented
43#19099305C2214yescomplemented
44#19099303C2214yescomplemented
45#19099301C2214yescomplemented
46#19099301C2214yescomplemented
47#19099301C2214yescomplemented
48#19099297C2214yescomplemented
49#19099297C2214yescomplemented
50#19099296C2214yescomplemented
51#19099286C2212yescomplemented
52#19099284C2212yescomplemented
53#19099284C2212yescomplemented
54#19099284C2212yescomplemented
55#19099284C2212yescomplemented
56#19099281C2212yescomplemented
57#19099278C2212yescomplemented
58#19099278C2212yescomplemented
59#19099277C2212yescomplemented
60#19099277C2212yescomplemented
61#19099276C2212yescomplemented
62#19099276C2212yescomplemented
63#19099274C2214yescomplemented
64#19099271C2212yescomplemented
65#19099271C2212yescomplemented
66#19099267C2214yescomplemented
67#19099265C2212yescomplemented
68#19099265C2212yescomplemented
69#19099263C2212yescomplemented
70#19099262C2214yescomplemented
71#19099262C2214yescomplemented
72#19099261C2212yescomplemented
73#19099261C2212yescomplemented
74#19099261C2214yescomplemented
75#19099261C2214yescomplemented
76#19099260C2214yescomplemented
77#19099259C2212yescomplemented
78#19099259C2212yescomplemented
79#19099258C2214yescomplemented
80#19099258C2214yescomplemented
81#19099257C2212yescomplemented
82#19099256C2214yescomplemented
83#19099255C2212yescomplemented
84#19099255C2212yescomplemented
85#19099255C2212yescomplemented
86#19099255C2212yescomplemented
87#19099254C2212yescomplemented
88#19099250C2214yescomplemented
89#19099248C2214yescomplemented
90#19099248C2212yescomplemented
91#19099247C2212yescomplemented
92#19099247C2212yescomplemented
93#19099243C2214yescomplemented
94#19099242C2214yescomplemented
95#19099240C2214yescomplemented
96#19099240C2214yescomplemented
97#19099240C2214yescomplemented
98#19099240C2214yescomplemented
99#19099239C2214yescomplemented
100#19099239C2214yescomplemented
101#19099236C2214yescomplemented
102#19099236C2214yescomplemented
103#19099232C2212yescomplemented
104#19099232C2212yescomplemented
105#19099232C2212yescomplemented
106#19099232C2212yescomplemented
107#19099232C2212yescomplemented
108#19099231C2212yescomplemented
109Q8×C22⋊D79C2212yescomplemented
110#19099224C2212yescomplemented
111#19099224C2212yescomplemented
112#19099224C2212yescomplemented
113#19099224C2212yescomplemented
114#19099224C2212yescomplemented
115#19099224C2212yescomplemented
116#19099223C2212yescomplemented
117#19099217C2212yescomplemented
118#19099216C2212yescomplemented
119#19099216C2212yescomplemented
120#19099215C2212yescomplemented
121#19099215C2212yescomplemented
122#19099214C2212yescomplemented
123#19099212C2214yescomplemented
124#19099212C2212yescomplemented
125#19099210C2214yescomplemented
126#19099209C2214yescomplemented
127#19099208C2214yescomplemented
128#19099206C2212yescomplemented
129#19099206C2212yescomplemented
130#19099204C2212yescomplemented
131#19099204C2212yescomplemented
132#19099204C2212yescomplemented
133#19099203C2214yescomplemented
134#19099202C2214yescomplemented
135#19099201C2214yescomplemented
136#19099201C2214yescomplemented
137#19099201C2212yescomplemented
138#19099201C2212yescomplemented
139#19099200C2214yescomplemented
140#19099200C2214yescomplemented
141#19099197C2214yescomplemented
142#19099197C2212yescomplemented
143D4×C22⋊D79C2214yescomplemented
144D4×C22⋊D79C2212yescomplemented
145#19099195C2214yescomplemented
146#19099194C2211yescharacteristic, complemented
147#19099191C2211yescharacteristic, complemented
148#19099187C2214yescomplemented
149#19099187C2214yescomplemented
150#19099186C2212yescomplemented
151#19099186C2212yescomplemented
152#19099185C2212yescomplemented
153#19099183C2214yescomplemented
154#19099182C2212yescomplemented
155#19099177C2214yescomplemented
156#19099174C2212yescomplemented
157#19099173C2212yescomplemented
158#19099166C2212yescomplemented
159#19099166C2214yescomplemented
160#19099165C2214yescomplemented
161#19099164C2212yescomplemented
162#19099163C2214yescomplemented
163#19099163C2214yescomplemented
164#19099162C2214yescomplemented
165#19099162C2214yescomplemented
166#19099160C2214yescomplemented
167#19099159C2214yescomplemented
168#19099159C2214yescomplemented
169#19099156C2214yescomplemented
170#19099153C2214yescomplemented
171#19099150C2214yescomplemented
172#19099149C2214yescomplemented
173#19099149C2214yescomplemented
174#19099149C2214yescomplemented
175#19099149C2214yescomplemented
176#19099148C2214yescomplemented
177#19099147C2214yescomplemented
178#19099146C2214yescomplemented
179#19099146C2214yescomplemented
180#19099146C2214yescomplemented
181#19099145C2214yescomplemented
182#19099143C2212yescomplemented
183#19099141C2211yescharacteristic, complemented
184#19099141C2212yescomplemented
185#19099141C2212yescomplemented
186#19099137C2211yescharacteristic, complemented
187#19099137C2212yescomplemented
188#19099129C2214yescomplemented
189#19099129C2212yescomplemented
190#19099128C2214yescomplemented
191#19099127C2214yescomplemented
192#19099127C2211yescharacteristic, complemented
193#19099127C2211yescharacteristic, complemented
194#19099127C2212yescomplemented
195#19099125C2214yescomplemented
196#19099124C2214yescomplemented
197#19099121C2214yescomplemented
198#19099118C2212yescomplemented
199#19099115C2212yescomplemented
200#19099110C2212yescomplemented
201#19099108C2212yescomplemented
202#19099100C2212yescomplemented
203#19099099C2212yescomplemented
204#19099099C2212yescomplemented
205#19099094C2214yescomplemented
206#19099093C2214yescomplemented
207#19099092C2212yescomplemented
208#19099076C2212yescomplemented
209#19099076C2212yescomplemented
210#19099076C2211yescharacteristic, complemented
211#19099076C2211yescharacteristic, complemented
212#19099076C2212yescomplemented
213#19099076C2212yescomplemented
214#19099076C2212yescomplemented
215#19099076C2212yescomplemented
216#19099076C2212yescomplemented
217#19099076C2212yescomplemented
218#19099076C2212yescomplemented
219#19099075C2211yescharacteristic, complemented
220#19099074C2211yescharacteristic
221#19099074C2212yescomplemented
222#19099073C2211yescharacteristic, complemented
223#19099073C2211yescharacteristic, complemented
224#19099072C2212yescomplemented
225#19099072C2212yescomplemented
226#19099071C2212yescomplemented
227#19099070C2211yescharacteristic
228#19099070C2211yescharacteristic, complemented
229#19099070C2211yescharacteristic, complemented
230#19099070C2211yescharacteristic, complemented
231#19099070C2212yescomplemented
232#19099070C2211yescharacteristic, complemented
233#19099070C2212yescomplemented
234#19099070C2212yescomplemented
235#19099070C2211yescharacteristic, complemented
236#19099070C2211yescharacteristic, complemented
237#19099070C2212yescomplemented
238#19099070C2211yescharacteristic, complemented
239#19099070C2211yescharacteristic, complemented
240#19099070C2214yescomplemented
241#19099070C2212yescomplemented
242#19099069C2212yescomplemented
243C2×#14579146C2212yescomplemented
244C2×#14579142C2212yescomplemented
245#123×D79C2212yescomplemented
246#123×D79C2214yescomplemented
247C2×#14579137C2211yescharacteristic, complemented
248C2×#14579137C2211yescharacteristic, complemented
249C2×#14579137C2211yescharacteristic, complemented
250C2×#14579137C2212yescomplemented
251C22⋊Q8×D79C2211yescharacteristic, complemented
252C22⋊Q8×D79C2211yescharacteristic, complemented
253C2×#14579136C2211yescharacteristic, complemented
254C2×#14579135C2211yescharacteristic, complemented
255C2×#14579135C2212yescomplemented
256C2×#14579132C2211yescharacteristic, complemented
257C2×#14579132C2211yescharacteristic, complemented
258#121×D79C2211yescharacteristic, complemented
259#121×D79C2211yescharacteristic, complemented
260#121×D79C2212yescomplemented
261C2×#14579131C2212yescomplemented
262C2×#14579129C2212yescomplemented
263#120×D79C2212yescomplemented
264#19099046C2211yescharacteristic, complemented
265#19099046C2211yescharacteristic, complemented
266#19099044C2211yescharacteristic, complemented
267#19099044C2214yescomplemented
268#19099042C2214yescomplemented
269#19099041C2211yescharacteristic, complemented
270#19099037C2211yescharacteristic, complemented
271#19099036C2214yescomplemented
272#19099035C2214yescomplemented
273C2×#14579123C2212yescomplemented
274C2×C4×C22⋊D79C2212yescomplemented
275C2×C4×C22⋊D79C2212yescomplemented
276C2×(C22⋊D79)⋊C4C2212yescomplemented
277C4×D4×D79C2212yescomplemented
278C4×D4×D79C2212yescomplemented
279C2×#14579120C2211yescharacteristic, complemented
280C2×#14579119C2211yescharacteristic, complemented
281#117×D79C2211yescharacteristic, complemented
282C2×2−1+4×C79C2211yescharacteristic, complemented
283C22×#41×C79C2211yescharacteristic, complemented
284D4×Q8×C79C2212yescomplemented
285#548×C79C2212yescomplemented
286#547×C79C2214yescomplemented
287#547×C79C2212yescomplemented
288#546×C79C2214yescomplemented
289#546×C79C2212yescomplemented
290#537×C79C2211yescharacteristic, complemented
291#537×C79C2212yescomplemented
292#536×C79C2211yescharacteristic, complemented
293#536×C79C2212yescomplemented
294#525×C79C2211yescharacteristic, complemented
295#525×C79C2212yescomplemented
296C2×C22⋊Q8×C79C2211yescharacteristic, complemented
297C2×C22⋊Q8×C79C2212yescomplemented
298#520×C79C2211yescharacteristic, complemented
299C24×D79C2311yescharacteristic
300#14579207—44no—
301C2×#11929625—44no—
302C2×#11929625C2311yescharacteristic
303C2×#11929625C2312yes—
304C2×#11929625C2312yes—
305C2×#11929625C2312yes—
306C2×#11929625C2312yes—
307C2×#11929625C2312yescomplemented
308C2×#11929624C2311yescharacteristic
309C2×#11929624C2312yes—
310C2×#11929624C2314yes—
311C2×#11929624C2312yescomplemented
312C2×#11929623C2314yes—
313C2×#11929623C2312yes—
314C2×#11929623C2311yescharacteristic
315#41×D79—44no—
316C2×Q8×D79C2311yescharacteristic
317C22×D316C2311yescharacteristic
318C22×D316C2312yes—
319C22×D316C2312yes—
320C22×D316C2312yescomplemented
321C22×C22⋊D79C2312yes—
322C22×C22⋊D79C2314yes—
323C22×C22⋊D79C2312yes—
324C22×C22⋊D79C2312yes—
325C2×D4×D79C2314yes—
326C2×D4×D79C2312yes—
327C2×D4×D79C2314yes—
328C2×D4×D79C2312yes—
329C2×D4×D79C2311yescharacteristic
330C2×D4×D79C2312yes—
331C2×D4×D79C2312yescomplemented
332C23×Dic79C2311yescharacteristic
333C22×C4×D79—44no—
334C22×C4×D79C2311yescharacteristic
335C22×C4×D79C2311yescharacteristic
336C22×C4×D79C2312yes—
337C22×C4×D79C2311yescharacteristic
338C22×C4×D79C2311yescharacteristic
339C22×C4×D79C2312yes—
340C22×C4×D79C2311yescharacteristic
341C22×C4×D79C2311yescharacteristic
342C22×C4×D79C2311yescharacteristic
343C22×C4×D79C2311yescharacteristic
344C22×C4×D79C2311yescharacteristic
345C22×C4×D79C2311yescharacteristic
346C22×C4×D79C2311yescharacteristic
347C22×C4×D79C2311yescharacteristic
348#14579161C2312yescomplemented
349#14579160C2312yescomplemented
350#14579160C2312yescomplemented
351#14579160C2312yescomplemented
352#14579159C2312yescomplemented
353#14579159C2314yescomplemented
354#14579157C2314yes—
355#14579157C2314yes—
356#14579157C2314yes—
357#14579157C2314yes—
358#14579157C2312yescomplemented
359#14579157C2312yescomplemented
360#14579156C2314yes—
361#14579156C2314yes—
362#14579156C2314yes—
363#14579156C2314yes—
364#14579156C2314yes—
365#14579156C2314yescomplemented
366#14579156C2314yescomplemented
367#14579156C2314yescomplemented
368#14579156C2314yescomplemented
369#14579156C2314yescomplemented
370#14579156C2314yescomplemented
371#14579155C2314yes—
372#14579155C2314yescomplemented
373#14579154C2314yes—
374#14579154C2314yes—
375#14579154C2314yescomplemented
376#14579154C2314yescomplemented
377#14579154C2314yescomplemented
378#14579154C2314yescomplemented
379#14579154C2314yescomplemented
380#14579153C2312yescomplemented
381#14579152C2314yescomplemented
382#14579152C2314yescomplemented
383#14579152C2314yescomplemented
384#14579152C2312yescomplemented
385#14579152C2312yescomplemented
386#14579152C2312yescomplemented
387#14579151C2314yescomplemented
388#14579151C2314yescomplemented
389#14579151C2314yescomplemented
390#14579151C2314yescomplemented
391#14579151C2314yescomplemented
392#14579150C2314yes—
393#14579150C2314yes—
394#14579150C2314yes—
395#14579150C2312yescomplemented
396#14579150C2312yescomplemented
397#14579150C2312yescomplemented
398#14579150C2314yescomplemented
399#14579149C2314yes—
400#14579149C2314yes—
401#14579148C2314yescomplemented
402#14579147C2314yes—
403#14579147C2314yes—
404#14579147C2314yes—
405#14579147C2314yes—
406#14579147C2314yes—
407#14579147C2314yes—
408#14579147C2314yescomplemented
409#14579147C2314yescomplemented
410#14579147C2314yescomplemented
411#14579147C2314yescomplemented
412#14579146C2314yes—
413#14579146C2314yes—
414#14579146C2314yes—
415#14579146C2312yes—
416#14579146C2314yes—
417#14579146C2314yes—
418#14579146C2314yes—
419#14579146C2314yes—
420#14579146C2312yes—
421#14579146C2314yes—
422#14579146C2314yes—
423#14579146C2314yescomplemented
424#14579146C2314yescomplemented
425#14579146C2314yescomplemented
426#14579145C2314yes—
427#14579145C2314yes—
428#14579145C2314yes—
429#14579145C2314yes—
430#14579145C2314yes—
431#14579145C2312yes—
432#14579145C2314yescomplemented
433#14579144C2314yes—
434#14579144C2314yes—
435#14579144C2314yes—
436#14579144C2312yes—
437#14579144C2314yescomplemented
438#14579144C2314yescomplemented
439#14579144C2314yescomplemented
440#14579143C2314yes—
441#14579143C2312yes—
442#14579143C2314yes—
443#14579143C2314yes—
444#14579143C2312yes—
445#14579143C2314yescomplemented
446#14579143C2314yescomplemented
447#14579143C2314yescomplemented
448#14579143C2314yescomplemented
449#14579142C2312yes—
450#14579142C2312yes—
451#14579142C2312yes—
452#14579142C2312yes—
453#14579142C2312yes—
454#14579142C2312yes—
455#14579142C2312yes—
456#14579142C2312yes—
457#14579142C2312yes—
458#14579142C2314yescomplemented
459#14579141C2314yes—
460#14579141C2311yescharacteristic
461#14579141C2311yescharacteristic
462#14579141C2314yescomplemented
463#14579141C2314yescomplemented
464#14579140C2311yescharacteristic
465#14579140C2314yes—
466#14579140C2311yescharacteristic
467#14579140C2312yescomplemented
468#14579140C2314yescomplemented
469#14579139C2312yes—
470#14579139C2312yes—
471#14579139C2314yescomplemented
472#14579139C2314yescomplemented
473#14579138C2314yes—
474#14579138C2314yes—
475#14579138C2312yes—
476#14579138C2312yes—
477#14579138C2314yescomplemented
478#14579137C2311yescharacteristic
479#14579137C2312yes—
480#14579137C2311yescharacteristic
481#14579137C2314yes—
482#14579137C2312yes—
483#14579137C2312yes—
484#14579137C2312yes—
485#14579137C2312yes—
486#14579137C2311yescharacteristic
487#14579137C2311yescharacteristic
488#14579137C2311yescharacteristic
489#14579137C2311yescharacteristic
490#14579137C2311yescharacteristic
491#14579137C2311yescharacteristic
492#14579137C2312yes—
493#14579137C2312yes—
494#14579137C2311yescharacteristic
495#14579137C2312yes—
496#14579137C2311yescharacteristic
497#14579137C2312yescomplemented
498#14579137C2312yescomplemented
499#14579137C2312yescomplemented
500#14579137C2314yescomplemented
501#14579137C2314yescomplemented
502#14579137C2314yescomplemented
503#14579137C2314yescomplemented
504#14579136C2314yes—
505#14579136C2312yes—
506#14579136C2314yes—
507#14579136C2314yes—
508#14579136C2312yes—
509#14579136C2311yescharacteristic
510#14579136C2311yescharacteristic
511#14579136C2312yes—
512#14579136C2312yes—
513#14579135C2314yes—
514#14579135C2312yes—
515#14579135C2314yes—
516#14579135C2314yes—
517#14579135C2314yes—
518#14579135C2314yes—
519#14579135C2314yes—
520#14579135C2314yes—
521#14579135C2314yes—
522#14579135C2311yescharacteristic
523#14579135C2312yes—
524#14579135C2312yes—
525#14579135C2311yescharacteristic
526#14579135C2312yes—
527#14579135C2312yescomplemented
528#14579135C2312yescomplemented
529#14579135C2312yescomplemented
530#14579135C2314yescomplemented
531#14579135C2312yescomplemented
532#14579135C2312yescomplemented
533#14579134C2314yes—
534#14579134C2312yes—
535#14579134C2314yes—
536#14579134C2314yes—
537#14579134C2314yes—
538#14579134C2314yes—
539#14579134C2314yes—
540#14579134C2314yes—
541#14579134C2312yes—
542#14579134C2314yescomplemented
543#14579133C2314yes—
544#14579133C2314yes—
545#14579133C2314yes—
546#14579133C2312yes—
547#14579133C2314yes—
548#14579133C2314yes—
549#14579133C2314yes—
550#14579133C2314yes—
551#14579133C2312yes—
552#14579133C2314yescomplemented
553#14579133C2314yescomplemented
554#14579133C2314yescomplemented
555#14579132C2311yescharacteristic
556#14579132C2314yes—
557#14579132C2314yes—
558#14579132C2312yes—
559#14579132C2312yes—
560#14579132C2311yescharacteristic
561#14579132C2311yescharacteristic
562#14579132C2311yescharacteristic
563#14579132C2312yes—
564#14579132C2311yescharacteristic
565#14579132C2311yescharacteristic
566#14579132C2311yescharacteristic
567#14579132C2311yescharacteristic
568#14579132C2312yes—
569#14579132C2311yescharacteristic
570#14579132C2311yescharacteristic
571#14579132C2312yescomplemented
572#14579132C2314yescomplemented
573#14579132C2314yescomplemented
574#14579131C2312yes—
575#14579131C2314yes—
576#14579131C2314yes—
577#14579131C2314yes—
578#14579131C2314yes—
579#14579131C2314yes—
580#14579131C2312yes—
581#14579131C2314yes—
582#14579131C2314yes—
583#14579131C2314yes—
584#14579131C2312yes—
585#14579130C2314yes—
586#14579130C2312yes—
587#14579129C2314yes—
588#14579129C2312yes—
589#14579129C2312yes—
590#14579129C2312yes—
591#14579129C2312yes—
592#14579129C2314yes—
593#14579129C2312yes—
594#14579129C2312yes—
595#14579129C2314yes—
596#14579129C2312yes—
597#14579129C2314yes—
598#14579129C2312yes—
599#14579129C2312yes—
600#14579129C2312yes—
601#14579129C2312yes—
602#14579129C2314yescomplemented
603#14579129C2314yescomplemented
604Q8×Dic79C2312yescomplemented
605Q8×Dic79C2312yescomplemented
606Q8×Dic79C2312yescomplemented
607Q8×Dic79C2312yescomplemented
608Q8×Dic79C2312yescomplemented
609Q8×Dic79C2312yescomplemented
610C4×Dic158C2314yescomplemented
611#14579126C2312yescomplemented
612#14579126C2314yescomplemented
613#14579126C2314yescomplemented
614#14579126C2314yescomplemented
615C4×D316C2314yes—
616C4×D316C2312yes—
617C4×D316C2312yes—
618C4×D316C2312yescomplemented
619C4×D316C2312yescomplemented
620D4×Dic79C2312yes—
621D4×Dic79C2314yes—
622D4×Dic79C2314yes—
623D4×Dic79C2312yes—
624D4×Dic79C2314yescomplemented
625D4×Dic79C2312yescomplemented
626D4×Dic79C2312yescomplemented
627#14579123C2312yes—
628#14579123C2314yes—
629#14579123C2314yes—
630#14579123C2314yes—
631#14579123C2314yes—
632#14579123C2312yes—
633#14579123C2314yes—
634#14579123C2312yescomplemented
635#14579123C2312yescomplemented
636#14579123C2312yescomplemented
637C4×C22⋊D79C2312yes—
638C4×C22⋊D79C2314yes—
639C4×C22⋊D79C2314yes—
640C4×C22⋊D79C2312yes—
641C4×C22⋊D79C2314yes—
642C4×C22⋊D79C2312yes—
643C4×C22⋊D79C2312yes—
644C4×C22⋊D79C2312yes—
645C4×C22⋊D79C2312yes—
646C4×C22⋊D79C2312yes—
647C4×C22⋊D79C2312yes—
648C4×C22⋊D79C2312yes—
649C4×C22⋊D79C2312yes—
650C4×C22⋊D79C2312yes—
651C4×C22⋊D79C2312yes—
652C4×C22⋊D79C2312yes—
653C4×C22⋊D79C2312yes—
654C4×C22⋊D79C2312yes—
655C4×C22⋊D79C2312yes—
656C4×C22⋊D79C2312yes—
657C4×C22⋊D79C2312yes—
658C4×C22⋊D79C2312yes—
659C4×C22⋊D79C2312yes—
660C4×C22⋊D79C2314yescomplemented
661C4×C22⋊D79C2314yescomplemented
662C4×C22⋊D79C2314yescomplemented
663C4×C22⋊D79C2314yescomplemented
664C4×C22⋊D79C2314yescomplemented
665C4×C22⋊D79C2314yescomplemented
666C4×C22⋊D79C2314yescomplemented
667C4×C22⋊D79C2314yescomplemented
668(C22⋊D79)⋊C4C2314yes—
669(C22⋊D79)⋊C4C2314yes—
670(C22⋊D79)⋊C4C2314yes—
671(C22⋊D79)⋊C4C2314yes—
672(C22⋊D79)⋊C4C2314yes—
673(C22⋊D79)⋊C4C2312yes—
674(C22⋊D79)⋊C4C2312yes—
675(C22⋊D79)⋊C4C2314yes—
676(C22⋊D79)⋊C4C2312yes—
677(C22⋊D79)⋊C4C2314yes—
678(C22⋊D79)⋊C4C2312yes—
679(C22⋊D79)⋊C4C2314yescomplemented
680(C22⋊D79)⋊C4C2314yescomplemented
681#14579120C2311yescharacteristic
682#14579120C2312yes—
683#14579120C2311yescharacteristic
684#14579120C2311yescharacteristic
685#14579120C2312yes—
686#14579120C2314yes—
687#14579120C2311yescharacteristic
688#14579120C2311yescharacteristic
689#14579120C2312yescomplemented
690#14579120C2314yescomplemented
691#14579120C2312yescomplemented
692#14579119C2314yes—
693#14579119C2312yes—
694#14579119C2312yes—
695#14579119C2311yescharacteristic
696#14579119C2312yes—
697#14579119C2312yes—
698#14579119C2311yescharacteristic
699#14579119C2314yescomplemented
700#14579119C2314yescomplemented
701#14579119C2312yescomplemented
702#14579118C2312yes—
703#14579118C2314yescomplemented
704#14579118C2314yescomplemented
705#14579117C2314yes—
706#14579117C2312yes—
707#14579117C2314yescomplemented
708#14579117C2314yescomplemented
709#14579117C2314yescomplemented
710C2×C4⋊Dic79C2311yescharacteristic
711C2×C4⋊Dic79C2311yescharacteristic
712C2×C4⋊Dic79C2311yescharacteristic
713C2×C4⋊Dic79C2312yescomplemented
714C2×C4⋊Dic79C2312yescomplemented
715C2×Dic79⋊C4C2312yes—
716C2×Dic79⋊C4C2312yes—
717C2×Dic79⋊C4C2312yes—
718C2×Dic79⋊C4C2314yescomplemented
719C4⋊C4×D79C2312yes—
720C4⋊C4×D79C2311yescharacteristic
721C4⋊C4×D79C2311yescharacteristic
722C4⋊C4×D79C2312yes—
723C4⋊C4×D79C2312yescomplemented
724C4⋊C4×D79C2314yescomplemented
725C4⋊C4×D79C2314yescomplemented
726C2×C22⋊Dic79C2312yes—
727C2×C22⋊Dic79C2312yes—
728C2×C22⋊Dic79C2312yes—
729C2×(C2×D79)⋊C4C2312yes—
730C2×(C2×D79)⋊C4C2312yes—
731C2×(C2×D79)⋊C4C2314yes—
732C2×(C2×D79)⋊C4C2312yes—
733C2×(C2×D79)⋊C4C2312yes—
734C2×(C2×D79)⋊C4C2312yes—
735C2×(C2×D79)⋊C4C2312yes—
736C2×(C2×D79)⋊C4C2314yescomplemented
737C22⋊C4×D79C2312yes—
738C22⋊C4×D79C2312yes—
739C22⋊C4×D79C2314yes—
740C22⋊C4×D79C2312yes—
741C22⋊C4×D79C2312yes—
742C22⋊C4×D79C2312yes—
743C22⋊C4×D79C2314yescomplemented
744C22⋊C4×D79C2314yescomplemented
745C22⋊C4×D79C2314yescomplemented
746C2×C4×Dic79C2312yes—
747C2×C4×Dic79C2312yes—
748C42×D79C2312yes—
7492−1+4×C79—44no—
750C2×#41×C79—44no—
751C2×#41×C79C2311yescharacteristic
752C2×#41×C79C2311yescharacteristic
753C2×#41×C79C2311yescharacteristic
754C2×#41×C79C2312yes—
755C2×#41×C79C2312yes—
756C2×#41×C79C2311yescharacteristic
757C2×#41×C79C2314yes—
758C2×#41×C79C2311yescharacteristic
759C2×#41×C79C2312yescomplemented
760C2×#41×C79C2312yescomplemented
761C22×Q8×C79C2311yescharacteristic
762C22×Q8×C79C2311yescharacteristic
763C22×Q8×C79C2312yescomplemented
764C22×Q8×C79C2312yescomplemented
765C22×D4×C79C2312yes—
766C22×D4×C79C2311yescharacteristic
767C23×C4×C79C2311yescharacteristic
768C23×C4×C79C2312yes—
769C4⋊Q8×C79C2312yescomplemented
770C4⋊Q8×C79C2314yescomplemented
771#124×C79C2314yes—
772#124×C79C2312yescomplemented
773#123×C79C2314yes—
774#123×C79C2312yes—
775#123×C79C2314yes—
776#123×C79C2314yescomplemented
777#123×C79C2314yescomplemented
778C22⋊Q8×C79C2314yes—
779C22⋊Q8×C79C2312yes—
780C22⋊Q8×C79C2311yescharacteristic
781C22⋊Q8×C79C2311yescharacteristic
782C22⋊Q8×C79C2312yes—
783C22⋊Q8×C79C2312yes—
784C22⋊Q8×C79C2312yes—
785C22⋊Q8×C79C2312yescomplemented
786C22⋊Q8×C79C2314yescomplemented
787C22⋊Q8×C79C2314yescomplemented
788C22⋊Q8×C79C2312yescomplemented
789C22⋊Q8×C79C2312yescomplemented
790C22⋊Q8×C79C2312yescomplemented
791#121×C79C2314yes—
792#121×C79C2314yes—
793#121×C79C2314yes—
794#121×C79C2311yescharacteristic
795#121×C79C2311yescharacteristic
796#121×C79C2314yescomplemented
797#121×C79C2312yescomplemented
798#121×C79C2312yescomplemented
799#120×C79C2314yes—
800#120×C79C2312yes—
801C4×Q8×C79C2312yescomplemented
802C4×D4×C79C2314yes—
803C4×D4×C79C2314yes—
804C4×D4×C79C2312yes—
805C4×D4×C79C2312yes—
806C4×D4×C79C2314yescomplemented
807C4×D4×C79C2312yescomplemented
808#117×C79C2311yescharacteristic
809#117×C79C2312yescomplemented
810C2×C4⋊C4×C79C2311yescharacteristic
811C2×C4⋊C4×C79C2312yes—
812C2×C4⋊C4×C79C2314yescomplemented
813C2×C4⋊C4×C79C2312yescomplemented
814C2×C22⋊C4×C79C2314yes—
815C2×C22⋊C4×C79C2312yes—
816C23×D79—42no—
817C23×D79—42no—
818C23×D79—42no—
819C23×D79C2411yescharacteristic
820C23×D79C2411yescharacteristic
821C23×D79C2411yescharacteristic
822C23×D79C2411yescharacteristic
823C23×D79C2411yescharacteristic
824C23×D79C2412yes—
825C23×D79C2412yes—
826C23×D79C2411yescharacteristic
827C23×D79C2414yes—
828#11929625—42no—
829#11929625—44no—
830#11929625—44no—
831#11929625—44no—
832#11929625—44no—
833#11929625—44no—
834#11929624—24no—
835#11929624—48no—
836#11929624—44no—
837#11929624—44no—
838#11929623—44no—
839#11929623—48no—
840#11929623—42no—
841C2×Dic158C2411yescharacteristic
842C2×Dic158C2412yes—
843C2×Dic158C2414yes—
844C2×Dic158C2414yes—
845Q8×D79—42no—
846C2×D316—24no—
847C2×D316—44no—
848C2×D316—44no—
849C2×D316—44no—
850C2×D316C2411yescharacteristic
851C2×D316C2414yes—
852C2×D316C2412yes—
853C2×D316C2412yes—
854C2×D316C2412yes—
855C2×D316C2414yes—
856C2×D316C2414yes—
857C2×D316C2414yes—
858C2×D316C2414yes—
859C2×D316C2412yes—
860C2×D316C2412yes—
861C2×C22⋊D79—44no—
862C2×C22⋊D79—48no—
863C2×C22⋊D79—44no—
864C2×C22⋊D79—44no—
865C2×C22⋊D79C2412yes—
866C2×C22⋊D79C2414yes—
867C2×C22⋊D79C2412yes—
868C2×C22⋊D79C2412yes—
869C2×C22⋊D79C2412yes—
870C2×C22⋊D79C2412yes—
871C2×C22⋊D79C2412yes—
872C2×C22⋊D79C2414yes—
873C2×C22⋊D79C2414yes—
874C2×C22⋊D79C2414yes—
875C2×C22⋊D79C2414yes—
876C2×C22⋊D79C2412yes—
877C2×C22⋊D79C2412yes—
878C2×C22⋊D79C2412yes—
879C2×C22⋊D79C2414yes—
880C2×C22⋊D79C2412yes—
881C2×C22⋊D79C2412yes—
882C2×C22⋊D79C2412yes—
883C2×C22⋊D79C2412yes—
884C2×C22⋊D79C2412yes—
885C2×C22⋊D79C2412yes—
886C2×C22⋊D79C2414yes—
887C2×C22⋊D79C2414yes—
888D4×D79—44no—
889D4×D79—48no—
890D4×D79—44no—
891D4×D79—48no—
892D4×D79—42no—
893D4×D79—44no—
894D4×D79—44no—
895C22×Dic79—42no—
896C22×Dic79C2412yes—
897C22×Dic79C2411yescharacteristic
898C22×Dic79C2411yescharacteristic
899C22×Dic79C2412yes—
900C22×Dic79C2414yes—
901C22×Dic79C2412yes—
902C22×Dic79C2412yes—
903C22×Dic79C2414yes—
904C22×Dic79C2411yescharacteristic
905C22×Dic79C2411yescharacteristic
906C22×Dic79C2411yescharacteristic
907C22×Dic79C2411yescharacteristic
908C2×C4×D79—24no—
909C2×C4×D79—24no—
910C2×C4×D79—44no—
911C2×C4×D79—42no—
912C2×C4×D79—42no—
913C2×C4×D79—44no—
914C2×C4×D79—42no—
915C2×C4×D79—42no—
916C2×C4×D79—42no—
917C2×C4×D79—42no—
918C2×C4×D79—42no—
919C2×C4×D79—42no—
920C2×C4×D79—42no—
921C2×C4×D79—42no—
922C2×C4×D79C2411yescharacteristic
923C2×C4×D79C2411yescharacteristic
924C2×C4×D79C2412yes—
925C2×C4×D79C2412yes—
926C2×C4×D79C2411yescharacteristic
927C2×C4×D79C2411yescharacteristic
928C2×C4×D79C2411yescharacteristic
929C2×C4×D79C2411yescharacteristic
930C2×C4×D79C2411yescharacteristic
931C2×C4×D79C2411yescharacteristic
932C2×C4×D79C2412yes—
933C2×C4×D79C2412yes—
934C2×C4×D79C2414yes—
935C2×C4×D79C2414yes—
936C2×C4×D79C2414yes—
937C2×C4×D79C2414yes—
938C2×C4×D79C2414yes—
939C2×C4×D79C2412yes—
940C2×C4×D79C2411yescharacteristic
941C2×C4×D79C2411yescharacteristic
942C2×C4×D79C2414yes—
943C2×C4×D79C2411yescharacteristic
944C2×C4×D79C2411yescharacteristic
945C2×C4×D79C2411yescharacteristic
946C2×C4×D79C2411yescharacteristic
947C2×C4×D79C2411yescharacteristic
948C2×C4×D79C2411yescharacteristic
949C4⋊Dic79C2412yes—
950C4⋊Dic79C2412yes—
951C4⋊Dic79C2411yescharacteristic
952C4⋊Dic79C2411yescharacteristic
953C4⋊Dic79C2411yescharacteristic
954C4⋊Dic79C2411yescharacteristic
955C4⋊Dic79C2412yes—
956C4⋊Dic79C2412yes—
957C4⋊Dic79C2411yescharacteristic
958C4⋊Dic79C2411yescharacteristic
959C4⋊Dic79C2412yes—
960C4⋊Dic79C2412yes—
961C4⋊Dic79C2414yes—
962C4⋊Dic79C2414yes—
963C4⋊Dic79C2414yes—
964C4⋊Dic79C2414yes—
965C4⋊Dic79C2414yes—
966C4⋊Dic79C2414yes—
967Dic79⋊C4C2412yes—
968Dic79⋊C4C2412yes—
969Dic79⋊C4C2412yes—
970Dic79⋊C4C2412yes—
971Dic79⋊C4C2412yes—
972Dic79⋊C4C2412yes—
973Dic79⋊C4C2412yes—
974Dic79⋊C4C2412yes—
975Dic79⋊C4C2414yes—
976Dic79⋊C4C2414yes—
977Dic79⋊C4C2414yes—
978Dic79⋊C4C2412yes—
979Dic79⋊C4C2414yes—
980Dic79⋊C4C2412yes—
981Dic79⋊C4C2414yes—
982Dic79⋊C4C2412yes—
983Dic79⋊C4C2412yes—
984Dic79⋊C4C2412yes—
985Dic79⋊C4C2412yes—
986Dic79⋊C4C2414yes—
987Dic79⋊C4C2414yes—
988Dic79⋊C4C2414yes—
989Dic79⋊C4C2414yes—
990Dic79⋊C4C2414yes—
991C22⋊Dic79C2412yes—
992C22⋊Dic79C2412yes—
993C22⋊Dic79C2412yes—
994C22⋊Dic79C2412yes—
995C22⋊Dic79C2412yes—
996C22⋊Dic79C2412yes—
997C22⋊Dic79C2412yes—
998C22⋊Dic79C2412yes—
999C22⋊Dic79C2412yes—
1000C22⋊Dic79C2412yes—
1001C22⋊Dic79C2412yes—
1002C22⋊Dic79C2412yes—
1003C22⋊Dic79C2412yes—
1004C22⋊Dic79C2412yes—
1005C22⋊Dic79C2412yes—
1006C22⋊Dic79C2412yes—
1007C22⋊Dic79C2412yes—
1008C22⋊Dic79C2414yes—
1009C22⋊Dic79C2414yes—
1010C22⋊Dic79C2414yes—
1011(C2×D79)⋊C4C2412yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2412yes—
1015(C2×D79)⋊C4C2412yes—
1016(C2×D79)⋊C4C2412yes—
1017(C2×D79)⋊C4C2412yes—
1018(C2×D79)⋊C4C2412yes—
1019(C2×D79)⋊C4C2412yes—
1020(C2×D79)⋊C4C2412yes—
1021(C2×D79)⋊C4C2414yes—
1022(C2×D79)⋊C4C2414yes—
1023(C2×D79)⋊C4C2414yes—
1024(C2×D79)⋊C4C2414yes—
1025(C2×D79)⋊C4C2414yes—
1026(C2×D79)⋊C4C2414yes—
1027(C2×D79)⋊C4C2412yes—
1028(C2×D79)⋊C4C2414yes—
1029(C2×D79)⋊C4C2414yes—
1030(C2×D79)⋊C4C2414yes—
1031(C2×D79)⋊C4C2412yes—
1032(C2×D79)⋊C4C2414yes—
1033(C2×D79)⋊C4C2414yes—
1034(C2×D79)⋊C4C2414yes—
1035(C2×D79)⋊C4C2412yes—
1036(C2×D79)⋊C4C2412yes—
1037(C2×D79)⋊C4C2412yes—
1038(C2×D79)⋊C4C2412yes—
1039(C2×D79)⋊C4C2412yes—
1040(C2×D79)⋊C4C2412yes—
1041(C2×D79)⋊C4C2414yes—
1042(C2×D79)⋊C4C2414yes—
1043(C2×D79)⋊C4C2414yes—
1044(C2×D79)⋊C4C2414yes—
1045(C2×D79)⋊C4C2414yes—
1046(C2×D79)⋊C4C2414yes—
1047C4×Dic79C2412yes—
1048C4×Dic79C2412yes—
1049C4×Dic79C2412yes—
1050C4×Dic79C2414yes—
1051C4×Dic79C2414yes—
1052C4×Dic79C2412yes—
1053C4×Dic79C2412yes—
1054C4×Dic79C2412yes—
1055C4×Dic79C2412yes—
1056C4×Dic79C2414yes—
1057C4×Dic79C2414yes—
1058C4×Dic79C2414yes—
1059C4×Dic79C2414yes—
1060C4×Dic79C2414yes—
1061C24×C79C2411yescharacteristic
1062C24×C79C2412yes—
1063#41×C79—24no—
1064#41×C79—24no—
1065#41×C79—24no—
1066#41×C79—44no—
1067#41×C79—44no—
1068#41×C79—48no—
1069#41×C79—42no—
1070#41×C79—42no—
1071#41×C79—44no—
1072#41×C79—44no—
1073C2×Q8×C79—24no—
1074C2×Q8×C79—42no—
1075C2×Q8×C79—44no—
1076C2×Q8×C79—44no—
1077C2×Q8×C79C2411yescharacteristic
1078C2×Q8×C79C2412yes—
1079C2×Q8×C79C2412yes—
1080C2×Q8×C79C2411yescharacteristic
1081C2×Q8×C79C2411yescharacteristic
1082C2×Q8×C79C2414yes—
1083C2×Q8×C79C2412yes—
1084C2×D4×C79—42no—
1085C2×D4×C79—44no—
1086C2×D4×C79C2412yes—
1087C2×D4×C79C2412yes—
1088C2×D4×C79C2411yescharacteristic
1089C2×D4×C79C2412yes—
1090C2×D4×C79C2411yescharacteristic
1091C2×D4×C79C2412yes—
1092C2×D4×C79C2411yescharacteristic
1093C2×D4×C79C2412yes—
1094C2×D4×C79C2414yes—
1095C2×D4×C79C2414yes—
1096C2×D4×C79C2412yes—
1097C2×D4×C79C2412yes—
1098C2×D4×C79C2412yes—
1099C22×C4×C79—24no—
1100C22×C4×C79—44no—
1101C22×C4×C79C2412yes—
1102C22×C4×C79C2412yes—
1103C22×C4×C79C2412yes—
1104C22×C4×C79C2411yescharacteristic
1105C22×C4×C79C2412yes—
1106C22×C4×C79C2411yescharacteristic
1107C22×C4×C79C2411yescharacteristic
1108C22×C4×C79C2411yescharacteristic
1109C22×C4×C79C2411yescharacteristic
1110C22×C4×C79C2414yes—
1111C22×C4×C79C2412yes—
1112C22×C4×C79C2414yes—
1113C22×C4×C79C2412yes—
1114C22×C4×C79C2412yes—
1115C22×C4×C79C2414yes—
1116C22×C4×C79C2412yes—
1117C22×C4×C79C2411yescharacteristic
1118C4⋊C4×C79C2412yes—
1119C4⋊C4×C79C2414yes—
1120C4⋊C4×C79C2412yes—
1121C4⋊C4×C79C2414yes—
1122C4⋊C4×C79C2411yescharacteristic
1123C4⋊C4×C79C2412yes—
1124C4⋊C4×C79C2414yes—
1125C4⋊C4×C79C2414yes—
1126C4⋊C4×C79C2414yes—
1127C4⋊C4×C79C2411yescharacteristic
1128C4⋊C4×C79C2412yes—
1129C4⋊C4×C79C2414yes—
1130C22⋊C4×C79C2412yes—
1131C22⋊C4×C79C2414yes—
1132C22⋊C4×C79C2414yes—
1133C22⋊C4×C79C2414yes—
1134C22⋊C4×C79C2414yes—
1135C22⋊C4×C79C2412yes—
1136C22⋊C4×C79C2414yes—
1137C22⋊C4×C79C2412yes—
1138C22⋊C4×C79C2412yes—
1139C22⋊C4×C79C2414yes—
1140C22⋊C4×C79C2412yes—
1141C22⋊C4×C79C2414yes—
1142C42×C79C2412yes—
1143C42×C79C2414yes—
1144C23×C79—22no—
1145C23×C79—22no—
1146C23×C79—24no—
1147C23×C79—41no—
1148C23×C79—42no—
1149C23×C79—42no—
1150C23×C79C2512yes—
1151C23×C79C2511yescharacteristic
1152C23×C79C2512yes—
1153C23×C79C2512yes—
1154C23×C79C2511yescharacteristic
1155C23×C79C2511yescharacteristic
1156C22×D79—22no—
1157C22×D79—22no—
1158C22×D79—22no—
1159C22×D79—22no—
1160C22×D79—24no—
1161C22×D79—22no—
1162C22×D79—22no—
1163C22×D79—22no—
1164C22×D79—24no—
1165C22×D79—41no—
1166C22×D79—41no—
1167C22×D79—41no—
1168C22×D79—41no—
1169C22×D79—41no—
1170C22×D79—41no—
1171C22×D79—41no—
1172C22×D79—41no—
1173C22×D79—41no—
1174C22×D79—41no—
1175C22×D79—41no—
1176C22×D79—42no—
1177C22×D79—42no—
1178C22×D79—42no—
1179C22×D79—42no—
1180C22×D79—44no—
1181C22×D79—44no—
1182C22×D79—44no—
1183C22×D79—416no—
1184C22×D79C2512yes—
1185C22×D79C2511yescharacteristic
1186C22×D79C2511yescharacteristic
1187C22×D79C2511yescharacteristic
1188C22×D79C2514yes—
1189C22×D79C2511yescharacteristic
1190Q8×C79—22no—
1191Q8×C79—24no—
1192Q8×C79—24no—
1193Q8×C79—22no—
1194Q8×C79—22no—
1195Q8×C79—44no—
1196Q8×C79—42no—
1197D4×C79—24no—
1198D4×C79—24no—
1199D4×C79—24no—
1200D4×C79—24no—
1201D4×C79—22no—
1202D4×C79—22no—
1203D4×C79—22no—
1204D4×C79—44no—
1205D4×C79—42no—
1206D4×C79—42no—
1207D4×C79—42no—
1208D4×C79—42no—
1209D4×C79—44no—
1210C2×C4×C79—22no—
1211C2×C4×C79—24no—
1212C2×C4×C79—22no—
1213C2×C4×C79—22no—
1214C2×C4×C79—22no—
1215C2×C4×C79—22no—
1216C2×C4×C79—24no—
1217C2×C4×C79—24no—
1218C2×C4×C79—24no—
1219C2×C4×C79—42no—
1220C2×C4×C79—44no—
1221C2×C4×C79—42no—
1222C2×C4×C79—42no—
1223C2×C4×C79—42no—
1224C2×C4×C79—44no—
1225C2×C4×C79—44no—
1226C2×C4×C79H(5,𝔽2)14yes—
1227C2×C4×C79C2511yescharacteristic
1228C2×C4×C79C2514yes—
1229C2×C4×C79C2512yes—
1230C2×C4×C79C2514yes—
1231C2×C4×C79C2512yes—
1232C2×C4×C79C2512yes—
1233C2×C4×C79C2512yes—
1234C2×C4×C79C2512yes—
1235C2×C4×C79C2511yescharacteristic
1236C2×C4×C79C2511yescharacteristic
1237C2×C4×C79C2511yescharacteristic
1238C22⋊D79—24no—
1239C22⋊D79—24no—
1240C22⋊D79—28no—
1241C22⋊D79—24no—
1242C22⋊D79—24no—
1243C22⋊D79—44no—
1244C22⋊D79—44no—
1245C22⋊D79—42no—
1246C22⋊D79—42no—
1247C22⋊D79—42no—
1248C22⋊D79—42no—
1249C22⋊D79—42no—
1250C22⋊D79—42no—
1251C22⋊D79—44no—
1252C22⋊D79—44no—
1253C22⋊D79—44no—
1254C22⋊D79—42no—
1255C22⋊D79—42no—
1256C22⋊D79—42no—
1257C22⋊D79—42no—
1258C22⋊D79—42no—
1259C22⋊D79—44no—
1260C22⋊D79—44no—
1261C2×Dic79—22no—
1262C2×Dic79—22no—
1263C2×Dic79—24no—
1264C2×Dic79—41no—
1265C2×Dic79—41no—
1266C2×Dic79—41no—
1267C2×Dic79—41no—
1268C2×Dic79—42no—
1269C2×Dic79—42no—
1270C2×Dic79—44no—
1271C2×Dic79—42no—
1272C2×Dic79—44no—
1273C2×Dic79C2512yes—
1274C2×Dic79C2512yes—
1275C2×Dic79C2514yes—
1276C2×Dic79C2512yes—
1277C2×Dic79C2512yes—
1278C2×Dic79C2512yes—
1279C2×Dic79C2511yescharacteristic
1280C2×Dic79C2511yescharacteristic
1281C2×Dic79C2511yescharacteristic
1282C2×Dic79C2512yes—
1283C2×Dic79C2512yes—
1284C2×Dic79C2511yescharacteristic
1285D316—28no—
1286D316—24no—
1287D316—22no—
1288D316—24no—
1289D316—44no—
1290D316—42no—
1291D316—42no—
1292D316—42no—
1293D316—44no—
1294D316—44no—
1295D316—44no—
1296C4×D79—24no—
1297C4×D79—22no—
1298C4×D79—22no—
1299C4×D79—22no—
1300C4×D79—22no—
1301C4×D79—22no—
1302C4×D79—22no—
1303C4×D79—22no—
1304C4×D79—22no—
1305C4×D79—24no—
1306C4×D79—41no—
1307C4×D79—41no—
1308C4×D79—41no—
1309C4×D79—41no—
1310C4×D79—41no—
1311C4×D79—41no—
1312C4×D79—41no—
1313C4×D79—41no—
1314C4×D79—42no—
1315C4×D79—42no—
1316C4×D79—44no—
1317C4×D79—44no—
1318C4×D79—44no—
1319C4×D79—42no—
1320C4×D79—44no—
1321C4×D79—44no—
1322C4×D79—44no—
1323Dic158—22no—
1324Dic158—42no—
1325Dic158—44no—
1326Dic158—44no—
1327C22×C79—21no—
1328C22×C79—21no—
1329C22×C79—21no—
1330C22×C79—21no—
1331C22×C79—22no—
1332C22×C79—22no—
1333C22×C79—21no—
1334C22×C79—22no—
1335C22×C79—22no—
1336C22×C79—22no—
1337C22×C79—22no—
1338C22×C79—21no—
1339C22×C79—22no—
1340C22×C79—22no—
1341C22×C79—21no—
1342C22×C79—22no—
1343C22×C79—44no—
1344C22×C79—84no—
1345C22×C79C2×H(5,𝔽2)12yes—
1346C22×C79#58512yes—
1347C22×C79C2611yescharacteristic
1348C2×D79—21no—
1349C2×D79—21no—
1350C2×D79—22no—
1351C2×D79—21no—
1352C2×D79—24no—
1353C2×D79—21no—
1354C2×D79—21no—
1355C2×D79—24no—
1356C2×D79—22no—
1357C2×D79—21no—
1358C2×D79—21no—
1359C2×D79—21no—
1360C2×D79—21no—
1361C2×D79—21no—
1362C2×D79—24no—
1363C2×D79—22no—
1364C2×D79—21no—
1365C2×D79—44no—
1366C2×D79—44no—
1367C2×D79—44no—
1368C2×D79—44no—
1369C2×D79—44no—
1370C2×D79—44no—
1371C2×D79—84no—
1372C2×D79—84no—
1373C2×D79—164no—
1374C2×D79#58512yes—
1375C4×C79—21no—
1376C4×C79—21no—
1377C4×C79—22no—
1378C4×C79—22no—
1379C4×C79—22no—
1380C4×C79—24no—
1381C4×C79—24no—
1382C4×C79—22no—
1383C4×C79—22no—
1384C4×C79C2×H(5,𝔽2)12yes—
1385C4×C79C2×H(5,𝔽2)12yes—
1386Dic79—22no—
1387Dic79—21no—
1388Dic79—21no—
1389Dic79—21no—
1390Dic79—21no—
1391Dic79—22no—
1392Dic79—22no—
1393Dic79—24no—
1394Dic79—22no—
1395Dic79—22no—
1396Dic79—22no—
1397Dic79—22no—
1398#62821—791nomaximal, Sylow
1399C2×C79—22no—
1400C2×C79—22no—
1401C2×C79—41no—
1402C2×C79—42no—
1403C2×C79—42no—
1404C2×C79—42no—
1405C2×C79C22×H(5,𝔽2)11yescharacteristic
1406C2×C79C2×#58511yescharacteristic
1407C2×C79C2×#58511yescharacteristic
1408D79—22no—
1409D79—41no—
1410D79—41no—
1411D79—41no—
1412D79—44no—
1413D79—42no—
1414#3542—792no—
1415#3542—792no—
1416#3541—792no—
1417#3541—792no—
1418#3540—792no—
1419#3540—792no—
1420#3539—792no—
1421#3539—792no—
1422#3533—794no—
1423#3532—794no—
1424#3520—792no—
1425#3520—792no—
1426#3519—792no—
1427#3519—792no—
1428#3513—794no—
1429#3513—794no—
1430#3506—792no—
1431#3506—792no—
1432#3505—792no—
1433#3505—792no—
1434#3495—791no—
1435#3495—791no—
1436#3494—791no—
1437#3494—791no—
1438#3493—791no—
1439#3493—791no—
1440#3489—791no—
1441#3489D7911yescharacteristic, complemented
1442#3488—791no—
1443#3488—791no—
1444#3487—791no—
1445#3485—791no—
1446C2×#525—791no—
1447C2×#525—791no—
1448C2×#525—791no—
1449C79#6282111yescharacteristic, complemented, Sylow
1450C2×2−1+4C2×D7911yescharacteristic, complemented
1451C2×H(5,𝔽2)—791no—
1452C22×#41—791no—
1453C22×#41—791no—
1454C22×#41C2×D7911yescharacteristic, complemented
1455C24×C4—791no—
1456#563—794no—
1457#562—794no—
1458#562—794no—
1459H(3,𝔽4)—794no—
1460#560—794no—
1461#560—794no—
1462#560—794no—
1463#560—794no—
1464#559—794no—
1465#559—794no—
1466#559—794no—
1467#556—792no—
1468#556—792no—
1469#556—792no—
1470#556—792no—
1471#556—792no—
1472#556—792no—
1473#555—792no—
1474#555—792no—
1475#555—792no—
1476#555—792no—
1477#555—792no—
1478#555—792no—
1479#554—794no—
1480#554—794no—
1481#554—792no—
1482#554—792no—
1483#553—794no—
1484#553—794no—
1485#553—794no—
1486#553—794no—
1487#553—792no—
1488#553—792no—
1489#553—792no—
1490#553—792no—
1491#553—794no—
1492#553—794no—
1493#553—792no—
1494#553—792no—
1495#553—792no—
1496#553—792no—
1497#553—794no—
1498#553—794no—
1499#552—794no—
1500#552—792no—
1501#552—792no—
1502#552—792no—
1503#552—792no—
1504#552—792no—
1505#552—792no—
1506#552—792no—
1507#552—794no—
1508#552—792no—
1509#551—794no—
1510#551—794no—
1511#551—794no—
1512#551—794no—
1513#551—794no—
1514#551—794no—
1515#551—794no—
1516#551—794no—
1517#551—794no—
1518#551—794no—
1519#550—792no—
1520#550—792no—
1521#550—792no—
1522#550—792no—
1523#550—792no—
1524#550—792no—
1525D4×Q8—792no—
1526D4×Q8C2×D7912yescomplemented
1527#548—792no—
1528#548—792no—
1529#548—792no—
1530#548—792no—
1531#548—792no—
1532#548—792no—
1533#548—792no—
1534#548C2×D7912yescomplemented
1535#547—794no—
1536#547—792no—
1537#547—792no—
1538#547—792no—
1539#547—792no—
1540#547—792no—
1541#547—792no—
1542#547—792no—
1543#547C2×D7914yescomplemented
1544#547C2×D7912yescomplemented
1545#546—792no—
1546#546—794no—
1547#546—794no—
1548#546—792no—
1549#546—792no—
1550#546—792no—
1551#546—792no—
1552#546—792no—
1553#546—792no—
1554#546—794no—
1555#546—794no—
1556#546—794no—
1557#546—794no—
1558#546—794no—
1559#546—794no—
1560#546—794no—
1561#546C2×D7914yescomplemented
1562#546C2×D7912yescomplemented
1563D42—794no—
1564D42—792no—
1565D42—794no—
1566D42—792no—
1567D42—794no—
1568#544—791no—
1569#544—791no—
1570#542—794no—
1571#542—794no—
1572#542—794no—
1573#542—792no—
1574#542—792no—
1575#542—792no—
1576#542—794no—
1577#542—792no—
1578#541—792no—
1579#541—792no—
1580#540—794no—
1581#540—794no—
1582#540—792no—
1583#540—794no—
1584#540—794no—
1585#540—792no—
1586#539—794no—
1587#539—794no—
1588#539—794no—
1589#539—794no—
1590#539—794no—
1591#539—794no—
1592#538—794no—
1593#538—794no—
1594#538—794no—
1595#538—794no—
1596#538—794no—
1597#538—794no—
1598#538—794no—
1599#538—794no—
1600#538—794no—
1601#538—794no—
1602#538—794no—
1603#538—794no—
1604#537—791no—
1605#537—792no—
1606#537—792no—
1607#537—792no—
1608#537C2×D7911yescharacteristic, complemented
1609#537C2×D7912yescomplemented
1610#536—791no—
1611#536—792no—
1612#536C2×D7911yescharacteristic, complemented
1613#536C2×D7912yescomplemented
1614#535—791no—
1615#535—791no—
1616#535—794no—
1617#535—792no—
1618#535—794no—
1619#535—792no—
1620#535—794no—
1621#534—794no—
1622#534—794no—
1623#534—794no—
1624#533—792no—
1625#533—792no—
1626#532—792no—
1627#532—792no—
1628#529—792no—
1629#529—792no—
1630#529—792no—
1631#529—794no—
1632#529—792no—
1633#529—794no—
1634#525—791no—
1635#525—791no—
1636#525—791no—
1637#525—791no—
1638#525—791no—
1639#525—791no—
1640#525—791no—
1641#525—792no—
1642#525—792no—
1643#525—791no—
1644#525—792no—
1645#525—791no—
1646#525—792no—
1647#525—794no—
1648#525—792no—
1649#525—791no—
1650#525—792no—
1651#525—792no—
1652#525—791no—
1653#525—792no—
1654#525—792no—
1655#525—792no—
1656#525—792no—
1657#525—792no—
1658#525—792no—
1659#525—791no—
1660#525—792no—
1661#525—792no—
1662#525—792no—
1663#525—791no—
1664#525—791no—
1665#525—792no—
1666#525—792no—
1667#525—792no—
1668#525—791no—
1669#525C2×D7911yescharacteristic, complemented
1670#525C2×D7912yescomplemented
1671C2×#123—792no—
1672C2×#123—792no—
1673C2×#123—794no—
1674C2×#123—792no—
1675C2×C22⋊Q8—791no—
1676C2×C22⋊Q8—791no—
1677C2×C22⋊Q8—791no—
1678C2×C22⋊Q8—792no—
1679C2×C22⋊Q8—791no—
1680C2×C22⋊Q8—791no—
1681C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1682C2×C22⋊Q8C2×D7912yescomplemented
1683C2×#121—791no—
1684C2×#121—791no—
1685C2×#121—791no—
1686C2×#121—792no—
1687C2×#121—791no—
1688C2×#121—791no—
1689C2×#121—792no—
1690C2×#121—791no—
1691C2×#120—792no—
1692C2×#120—792no—
1693C2×#120—792no—
1694#520—791no—
1695#520—791no—
1696#520—794no—
1697#520—791no—
1698#520—794no—
1699#520C2×D7911yescharacteristic, complemented
1700#519—791no—
1701#518—794no—
1702#518—791no—
1703#518—794no—
1704C2×C4×D4—792no—
1705C2×C4×D4—792no—
1706C2×C4×D4—792no—
1707C2×C4×D4—792no—
1708C2×C4×D4—792no—
1709C2×C4×D4—792no—
1710C2×#117—791no—
1711C2×#117—791no—
1712C2×#117—791no—
1713C25—791no—
17142−1+4—44no—
1715H(5,𝔽2)—3164no—
1716C2×#41—44no—
1717C2×#41—3164no—
1718C2×#41—3164no—
1719C2×#41—791no—
1720C2×#41—792no—
1721C2×#41—792no—
1722C2×#41—792no—
1723C2×#41—792no—
1724C2×#41—792no—
1725C2×#41—794no—
1726C2×#41—792no—
1727C2×#41—791no—
1728C2×#41—794no—
1729C2×#41—792no—
1730C2×#41—792no—
1731C2×#41—791no—
1732C2×#41C22×D7911yescharacteristic
1733C2×#41C22×D7911yescharacteristic
1734C2×#41C22×D7911yescharacteristic
1735C2×#41C22×D7912yes—
1736C2×#41C22×D7912yes—
1737C2×#41C22×D7911yescharacteristic
1738C2×#41C22×D7911yescharacteristic
1739C2×#41C22×D7914yes—
1740C2×#41C22×D7912yescomplemented
1741C2×#41C22×D7912yescomplemented
1742C22×Q8—791no—
1743C22×Q8C22×D7911yescharacteristic
1744C22×Q8C22×D7911yescharacteristic
1745C22×Q8C22×D7912yescomplemented
1746C22×Q8C22×D7912yescomplemented
1747C22×D4—792no—
1748C22×D4—792no—
1749C22×D4—792no—
1750C22×D4—794no—
1751C22×D4—792no—
1752C22×D4—792no—
1753C22×D4—794no—
1754C22×D4—792no—
1755C22×D4—791no—
1756C22×D4—792no—
1757C22×D4—794no—
1758C22×D4—792no—
1759C22×D4—792no—
1760C22×D4—792no—
1761C22×D4—791no—
1762C22×D4C22×D7912yes—
1763C22×D4C22×D7911yescharacteristic
1764C23×C4—3164no—
1765C23×C4—791no—
1766C23×C4—791no—
1767C23×C4—791no—
1768C23×C4—792no—
1769C23×C4—791no—
1770C23×C4—792no—
1771C23×C4—791no—
1772C23×C4—791no—
1773C23×C4—791no—
1774C23×C4—791no—
1775C23×C4—791no—
1776C23×C4—791no—
1777C23×C4—791no—
1778C23×C4—791no—
1779C23×C4—791no—
1780C23×C4C22×D7911yescharacteristic
1781C23×C4C22×D7912yes—
1782C4⋊Q8—792no—
1783C4⋊Q8—794no—
1784C4⋊Q8—792no—
1785C4⋊Q8—792no—
1786C4⋊Q8—792no—
1787C4⋊Q8—792no—
1788C4⋊Q8C22×D7912yescomplemented
1789C4⋊Q8C22×D7914yescomplemented
1790#127—792no—
1791#127—792no—
1792#127—794no—
1793#127—794no—
1794#127—794no—
1795#127—794no—
1796#126—794no—
1797#126—794no—
1798#126—794no—
1799#126—794no—
1800#126—794no—
1801#126—794no—
1802#126—794no—
1803#126—794no—
1804#126—794no—
1805#126—794no—
1806#126—794no—
1807#126—794no—
1808#126—794no—
1809#126—794no—
1810#126—794no—
1811#126—794no—
1812#126—794no—
1813#126—794no—
1814#126—794no—
1815#126—794no—
1816#125—794no—
1817#125—794no—
1818#125—792no—
1819#125—792no—
1820#125—792no—
1821#125—794no—
1822#125—794no—
1823#125—794no—
1824#125—794no—
1825#125—794no—
1826#125—794no—
1827#125—792no—
1828#124—792no—
1829#124—792no—
1830#124—792no—
1831#124—794no—
1832#124—794no—
1833#124—794no—
1834#124—794no—
1835#124—794no—
1836#124—794no—
1837#124—794no—
1838#124—794no—
1839#124—794no—
1840#124—794no—
1841#124—794no—
1842#124—794no—
1843#124—794no—
1844#124—794no—
1845#124—794no—
1846#124—794no—
1847#124—794no—
1848#124C22×D7914yes—
1849#124C22×D7912yescomplemented
1850#123—792no—
1851#123—792no—
1852#123—792no—
1853#123—792no—
1854#123—792no—
1855#123—792no—
1856#123—792no—
1857#123—792no—
1858#123—792no—
1859#123—794no—
1860#123—792no—
1861#123—794no—
1862#123—794no—
1863#123—794no—
1864#123—794no—
1865#123—794no—
1866#123—794no—
1867#123—792no—
1868#123—794no—
1869#123—794no—
1870#123—792no—
1871#123—794no—
1872#123—794no—
1873#123—794no—
1874#123—794no—
1875#123—794no—
1876#123—794no—
1877#123—794no—
1878#123—794no—
1879#123—794no—
1880#123—794no—
1881#123—792no—
1882#123—792no—
1883#123—792no—
1884#123—794no—
1885#123—794no—
1886#123—794no—
1887#123—794no—
1888#123—794no—
1889#123—794no—
1890#123—794no—
1891#123—794no—
1892#123—794no—
1893#123—794no—
1894#123—794no—
1895#123—794no—
1896#123—794no—
1897#123C22×D7912yes—
1898#123C22×D7914yes—
1899#123C22×D7914yes—
1900#123C22×D7914yescomplemented
1901#123C22×D7914yescomplemented
1902C22⋊Q8—791no—
1903C22⋊Q8—792no—
1904C22⋊Q8—791no—
1905C22⋊Q8—791no—
1906C22⋊Q8—792no—
1907C22⋊Q8—791no—
1908C22⋊Q8—792no—
1909C22⋊Q8—792no—
1910C22⋊Q8—792no—
1911C22⋊Q8—791no—
1912C22⋊Q8—791no—
1913C22⋊Q8—792no—
1914C22⋊Q8—791no—
1915C22⋊Q8—791no—
1916C22⋊Q8—791no—
1917C22⋊Q8—791no—
1918C22⋊Q8—792no—
1919C22⋊Q8—792no—
1920C22⋊Q8—792no—
1921C22⋊Q8—792no—
1922C22⋊Q8—794no—
1923C22⋊Q8—794no—
1924C22⋊Q8—792no—
1925C22⋊Q8—794no—
1926C22⋊Q8—794no—
1927C22⋊Q8—794no—
1928C22⋊Q8—791no—
1929C22⋊Q8—791no—
1930C22⋊Q8—792no—
1931C22⋊Q8—794no—
1932C22⋊Q8—794no—
1933C22⋊Q8—792no—
1934C22⋊Q8—791no—
1935C22⋊Q8—791no—
1936C22⋊Q8—792no—
1937C22⋊Q8—794no—
1938C22⋊Q8—794no—
1939C22⋊Q8—794no—
1940C22⋊Q8—794no—
1941C22⋊Q8—794no—
1942C22⋊Q8—792no—
1943C22⋊Q8—792no—
1944C22⋊Q8—794no—
1945C22⋊Q8—794no—
1946C22⋊Q8—794no—
1947C22⋊Q8C22×D7911yescharacteristic
1948C22⋊Q8C22×D7911yescharacteristic
1949C22⋊Q8C22×D7912yes—
1950C22⋊Q8C22×D7912yes—
1951C22⋊Q8C22×D7912yes—
1952C22⋊Q8C22×D7912yes—
1953C22⋊Q8C22×D7914yes—
1954C22⋊Q8C22×D7912yescomplemented
1955C22⋊Q8C22×D7912yescomplemented
1956C22⋊Q8C22×D7914yescomplemented
1957C22⋊Q8C22×D7912yescomplemented
1958C22⋊Q8C22×D7912yescomplemented
1959C22⋊Q8C22×D7914yescomplemented
1960#121—791no—
1961#121—791no—
1962#121—791no—
1963#121—791no—
1964#121—792no—
1965#121—792no—
1966#121—792no—
1967#121—792no—
1968#121—791no—
1969#121—792no—
1970#121—791no—
1971#121—791no—
1972#121—791no—
1973#121—791no—
1974#121—791no—
1975#121—792no—
1976#121—794no—
1977#121—792no—
1978#121—794no—
1979#121—794no—
1980#121—794no—
1981#121—794no—
1982#121—794no—
1983#121—794no—
1984#121—794no—
1985#121—794no—
1986#121—794no—
1987#121—794no—
1988#121—794no—
1989#121—794no—
1990#121—794no—
1991#121—791no—
1992#121—792no—
1993#121—791no—
1994#121—792no—
1995#121—792no—
1996#121—792no—
1997#121—792no—
1998#121—792no—
1999#121—792no—
2000#121—794no—
2001#121—794no—
2002#121—792no—
2003#121—792no—
2004#121—794no—
2005#121—794no—
2006#121—794no—
2007#121—794no—
2008#121—794no—
2009#121—794no—
2010#121—794no—
2011#121—792no—
2012#121—792no—
2013#121—792no—
2014#121—791no—
2015#121—791no—
2016#121—792no—
2017#121—794no—
2018#121—794no—
2019#121—794no—
2020#121—792no—
2021#121—792no—
2022#121—794no—
2023#121—794no—
2024#121—794no—
2025#121—794no—
2026#121—794no—
2027#121—794no—
2028#121—794no—
2029#121—794no—
2030#121C22×D7911yescharacteristic
2031#121C22×D7911yescharacteristic
2032#121C22×D7914yes—
2033#121C22×D7914yes—
2034#121C22×D7914yes—
2035#121C22×D7912yescomplemented
2036#121C22×D7912yescomplemented
2037#121C22×D7914yescomplemented
2038#120—792no—
2039#120—794no—
2040#120—792no—
2041#120—792no—
2042#120—792no—
2043#120—792no—
2044#120—792no—
2045#120—792no—
2046#120—792no—
2047#120—792no—
2048#120—792no—
2049#120—792no—
2050#120—792no—
2051#120—794no—
2052#120—794no—
2053#120—794no—
2054#120—794no—
2055#120—794no—
2056#120—794no—
2057#120—792no—
2058#120—792no—
2059#120—794no—
2060#120—794no—
2061#120—794no—
2062#120—794no—
2063#120—792no—
2064#120—794no—
2065#120—794no—
2066#120—794no—
2067#120—794no—
2068#120C22×D7912yes—
2069#120C22×D7914yes—
2070C4×Q8—792no—
2071C4×Q8—792no—
2072C4×Q8—792no—
2073C4×Q8—792no—
2074C4×Q8—792no—
2075C4×Q8—792no—
2076C4×Q8—794no—
2077C4×Q8—792no—
2078C4×Q8—794no—
2079C4×Q8—794no—
2080C4×Q8—794no—
2081C4×Q8C22×D7912yescomplemented
2082C4×D4—792no—
2083C4×D4—792no—
2084C4×D4—794no—
2085C4×D4—794no—
2086C4×D4—794no—
2087C4×D4—792no—
2088C4×D4—792no—
2089C4×D4—792no—
2090C4×D4—792no—
2091C4×D4—792no—
2092C4×D4—792no—
2093C4×D4—792no—
2094C4×D4—792no—
2095C4×D4—792no—
2096C4×D4—792no—
2097C4×D4—792no—
2098C4×D4—792no—
2099C4×D4—792no—
2100C4×D4—792no—
2101C4×D4—792no—
2102C4×D4—792no—
2103C4×D4—792no—
2104C4×D4—792no—
2105C4×D4—792no—
2106C4×D4—792no—
2107C4×D4—792no—
2108C4×D4—792no—
2109C4×D4—794no—
2110C4×D4—794no—
2111C4×D4—794no—
2112C4×D4—794no—
2113C4×D4—794no—
2114C4×D4—794no—
2115C4×D4—794no—
2116C4×D4—794no—
2117C4×D4—794no—
2118C4×D4—794no—
2119C4×D4—794no—
2120C4×D4—794no—
2121C4×D4—792no—
2122C4×D4—794no—
2123C4×D4—794no—
2124C4×D4—792no—
2125C4×D4—794no—
2126C4×D4—792no—
2127C4×D4—792no—
2128C4×D4—794no—
2129C4×D4—792no—
2130C4×D4—792no—
2131C4×D4—794no—
2132C4×D4—794no—
2133C4×D4—792no—
2134C4×D4—794no—
2135C4×D4—792no—
2136C4×D4—794no—
2137C4×D4—792no—
2138C4×D4—794no—
2139C4×D4—794no—
2140C4×D4—794no—
2141C4×D4—794no—
2142C4×D4—794no—
2143C4×D4—792no—
2144C4×D4—792no—
2145C4×D4—794no—
2146C4×D4—792no—
2147C4×D4—792no—
2148C4×D4C22×D7912yes—
2149C4×D4C22×D7912yes—
2150C4×D4C22×D7914yes—
2151C4×D4C22×D7914yes—
2152C4×D4C22×D7914yescomplemented
2153C4×D4C22×D7912yescomplemented
2154#117—791no—
2155#117—791no—
2156#117—791no—
2157#117—792no—
2158#117—792no—
2159#117—791no—
2160#117—791no—
2161#117—794no—
2162#117—792no—
2163#117—792no—
2164#117—794no—
2165#117—791no—
2166#117—792no—
2167#117—792no—
2168#117—792no—
2169#117—792no—
2170#117—791no—
2171#117—794no—
2172#117—792no—
2173#117—794no—
2174#117—794no—
2175#117—792no—
2176#117—794no—
2177#117—794no—
2178#117—794no—
2179#117—794no—
2180#117—792no—
2181#117—794no—
2182#117—794no—
2183#117C22×D7911yescharacteristic
2184#117C22×D7912yescomplemented
2185C2×C4⋊C4—791no—
2186C2×C4⋊C4—791no—
2187C2×C4⋊C4—791no—
2188C2×C4⋊C4—792no—
2189C2×C4⋊C4—792no—
2190C2×C4⋊C4—792no—
2191C2×C4⋊C4—792no—
2192C2×C4⋊C4—792no—
2193C2×C4⋊C4—794no—
2194C2×C4⋊C4—791no—
2195C2×C4⋊C4—791no—
2196C2×C4⋊C4—792no—
2197C2×C4⋊C4—792no—
2198C2×C4⋊C4—792no—
2199C2×C4⋊C4—794no—
2200C2×C4⋊C4—794no—
2201C2×C4⋊C4C22×D7911yescharacteristic
2202C2×C4⋊C4C22×D7912yes—
2203C2×C4⋊C4C22×D7914yescomplemented
2204C2×C4⋊C4C22×D7912yescomplemented
2205C2×C22⋊C4—792no—
2206C2×C22⋊C4—792no—
2207C2×C22⋊C4—792no—
2208C2×C22⋊C4—792no—
2209C2×C22⋊C4—792no—
2210C2×C22⋊C4—792no—
2211C2×C22⋊C4—792no—
2212C2×C22⋊C4—792no—
2213C2×C22⋊C4—792no—
2214C2×C22⋊C4—794no—
2215C2×C22⋊C4—794no—
2216C2×C22⋊C4—792no—
2217C2×C22⋊C4—792no—
2218C2×C22⋊C4—792no—
2219C2×C22⋊C4—792no—
2220C2×C22⋊C4—792no—
2221C2×C22⋊C4—794no—
2222C2×C22⋊C4—794no—
2223C2×C22⋊C4—794no—
2224C2×C22⋊C4—794no—
2225C2×C22⋊C4C22×D7912yes—
2226C2×C22⋊C4C22×D7914yes—
2227C2×C42—792no—
2228C2×C42—792no—
2229C2×C42—792no—
2230C24—3162no—
2231C24—3162no—
2232C24—3162no—
2233C24—794no—
2234C24—791no—
2235C24—792no—
2236C24—792no—
2237C24—791no—
2238C24—791no—
2239C24—791no—
2240C24—791no—
2241C24—791no—
2242C24C23×D7911yescharacteristic
2243C24C23×D7912yes—
2244#41—24no—
2245#41—24no—
2246#41—24no—
2247#41—44no—
2248#41—44no—
2249#41—48no—
2250#41—42no—
2251#41—42no—
2252#41—44no—
2253#41—44no—
2254#41—3164no—
2255#41—3164no—
2256#41—3168no—
2257#41—3162no—
2258#41—3164no—
2259#41—3168no—
2260#41—3162no—
2261#41—3164no—
2262#41—3164no—
2263#41—3164no—
2264#41—3164no—
2265#41—3164no—
2266#41—1584no—
2267C2×Q8—24no—
2268C2×Q8—42no—
2269C2×Q8—44no—
2270C2×Q8—44no—
2271C2×Q8—3162no—
2272C2×Q8—794no—
2273C2×Q8—794no—
2274C2×Q8—792no—
2275C2×Q8—791no—
2276C2×Q8C23×D7912yes—
2277C2×Q8C23×D7911yescharacteristic
2278C2×Q8C23×D7911yescharacteristic
2279C2×Q8C23×D7912yes—
2280C2×Q8C23×D7911yescharacteristic
2281C2×Q8C23×D7912yes—
2282C2×Q8C23×D7914yes—
2283C2×D4—42no—
2284C2×D4—44no—
2285C2×D4—3164no—
2286C2×D4—3164no—
2287C2×D4—3164no—
2288C2×D4—3164no—
2289C2×D4—3164no—
2290C2×D4—3168no—
2291C2×D4—3168no—
2292C2×D4—3168no—
2293C2×D4—3164no—
2294C2×D4—3164no—
2295C2×D4—3162no—
2296C2×D4—3164no—
2297C2×D4—3164no—
2298C2×D4—3164no—
2299C2×D4—792no—
2300C2×D4—792no—
2301C2×D4—792no—
2302C2×D4—792no—
2303C2×D4—794no—
2304C2×D4—794no—
2305C2×D4—794no—
2306C2×D4—792no—
2307C2×D4—794no—
2308C2×D4—792no—
2309C2×D4—792no—
2310C2×D4—792no—
2311C2×D4—792no—
2312C2×D4—794no—
2313C2×D4—794no—
2314C2×D4—792no—
2315C2×D4—792no—
2316C2×D4—794no—
2317C2×D4—792no—
2318C2×D4—794no—
2319C2×D4—792no—
2320C2×D4—792no—
2321C2×D4—792no—
2322C2×D4—792no—
2323C2×D4—792no—
2324C2×D4—794no—
2325C2×D4—792no—
2326C2×D4—794no—
2327C2×D4—794no—
2328C2×D4—794no—
2329C2×D4—794no—
2330C2×D4—791no—
2331C2×D4—792no—
2332C2×D4—792no—
2333C2×D4—1584no—
2334C2×D4C23×D7912yes—
2335C2×D4C23×D7912yes—
2336C2×D4C23×D7911yescharacteristic
2337C2×D4C23×D7911yescharacteristic
2338C2×D4C23×D7912yes—
2339C2×D4C23×D7912yes—
2340C2×D4C23×D7911yescharacteristic
2341C2×D4C23×D7912yes—
2342C2×D4C23×D7914yes—
2343C2×D4C23×D7912yes—
2344C2×D4C23×D7912yes—
2345C2×D4C23×D7912yes—
2346C2×D4C23×D7914yes—
2347C22×C4—24no—
2348C22×C4—44no—
2349C22×C4—3162no—
2350C22×C4—3162no—
2351C22×C4—3164no—
2352C22×C4—3162no—
2353C22×C4—3162no—
2354C22×C4—3162no—
2355C22×C4—3162no—
2356C22×C4—3162no—
2357C22×C4—3162no—
2358C22×C4—3162no—
2359C22×C4—3162no—
2360C22×C4—3164no—
2361C22×C4—3162no—
2362C22×C4—792no—
2363C22×C4—792no—
2364C22×C4—791no—
2365C22×C4—791no—
2366C22×C4—794no—
2367C22×C4—794no—
2368C22×C4—792no—
2369C22×C4—791no—
2370C22×C4—791no—
2371C22×C4—792no—
2372C22×C4—791no—
2373C22×C4—791no—
2374C22×C4—792no—
2375C22×C4—794no—
2376C22×C4—794no—
2377C22×C4—792no—
2378C22×C4—794no—
2379C22×C4—794no—
2380C22×C4—794no—
2381C22×C4—794no—
2382C22×C4—791no—
2383C22×C4—791no—
2384C22×C4—791no—
2385C22×C4—791no—
2386C22×C4—791no—
2387C22×C4—791no—
2388C22×C4—791no—
2389C22×C4—792no—
2390C22×C4—791no—
2391C22×C4—791no—
2392C22×C4—792no—
2393C22×C4—791no—
2394C22×C4—792no—
2395C22×C4—791no—
2396C22×C4—791no—
2397C22×C4—791no—
2398C22×C4—791no—
2399C22×C4—791no—
2400C22×C4—791no—
2401C22×C4—1584no—
2402C22×C4—1584no—
2403C22×C4C23×D7911yescharacteristic
2404C22×C4C23×D7911yescharacteristic
2405C22×C4C23×D7912yes—
2406C22×C4C23×D7911yescharacteristic
2407C22×C4C23×D7912yes—
2408C22×C4C23×D7912yes—
2409C22×C4C23×D7912yes—
2410C22×C4C23×D7911yescharacteristic
2411C22×C4C23×D7911yescharacteristic
2412C22×C4C23×D7912yes—
2413C22×C4C23×D7912yes—
2414C22×C4C23×D7912yes—
2415C22×C4C23×D7914yes—
2416C22×C4C23×D7914yes—
2417C22×C4C23×D7914yes—
2418C22×C4C23×D7912yes—
2419C22×C4C23×D7911yescharacteristic
2420C4⋊C4—792no—
2421C4⋊C4—792no—
2422C4⋊C4—792no—
2423C4⋊C4—794no—
2424C4⋊C4—794no—
2425C4⋊C4—792no—
2426C4⋊C4—792no—
2427C4⋊C4—792no—
2428C4⋊C4—792no—
2429C4⋊C4—792no—
2430C4⋊C4—792no—
2431C4⋊C4—792no—
2432C4⋊C4—792no—
2433C4⋊C4—792no—
2434C4⋊C4—792no—
2435C4⋊C4—794no—
2436C4⋊C4—792no—
2437C4⋊C4—794no—
2438C4⋊C4—794no—
2439C4⋊C4—794no—
2440C4⋊C4—794no—
2441C4⋊C4—794no—
2442C4⋊C4—794no—
2443C4⋊C4—794no—
2444C4⋊C4—791no—
2445C4⋊C4—792no—
2446C4⋊C4—791no—
2447C4⋊C4—791no—
2448C4⋊C4—792no—
2449C4⋊C4—792no—
2450C4⋊C4—792no—
2451C4⋊C4—791no—
2452C4⋊C4—791no—
2453C4⋊C4—791no—
2454C4⋊C4—792no—
2455C4⋊C4—792no—
2456C4⋊C4—794no—
2457C4⋊C4—794no—
2458C4⋊C4—794no—
2459C4⋊C4—794no—
2460C4⋊C4—794no—
2461C4⋊C4—794no—
2462C4⋊C4C23×D7912yes—
2463C4⋊C4C23×D7912yes—
2464C4⋊C4C23×D7911yescharacteristic
2465C4⋊C4C23×D7914yes—
2466C4⋊C4C23×D7911yescharacteristic
2467C4⋊C4C23×D7912yes—
2468C4⋊C4C23×D7914yes—
2469C4⋊C4C23×D7912yes—
2470C4⋊C4C23×D7914yes—
2471C4⋊C4C23×D7914yes—
2472C4⋊C4C23×D7914yes—
2473C4⋊C4C23×D7914yes—
2474C22⋊C4—792no—
2475C22⋊C4—792no—
2476C22⋊C4—792no—
2477C22⋊C4—792no—
2478C22⋊C4—792no—
2479C22⋊C4—792no—
2480C22⋊C4—792no—
2481C22⋊C4—792no—
2482C22⋊C4—792no—
2483C22⋊C4—792no—
2484C22⋊C4—792no—
2485C22⋊C4—792no—
2486C22⋊C4—792no—
2487C22⋊C4—792no—
2488C22⋊C4—792no—
2489C22⋊C4—792no—
2490C22⋊C4—792no—
2491C22⋊C4—794no—
2492C22⋊C4—794no—
2493C22⋊C4—794no—
2494C22⋊C4—792no—
2495C22⋊C4—792no—
2496C22⋊C4—792no—
2497C22⋊C4—792no—
2498C22⋊C4—794no—
2499C22⋊C4—794no—
2500C22⋊C4—794no—
2501C22⋊C4—794no—
2502C22⋊C4—794no—
2503C22⋊C4—792no—
2504C22⋊C4—792no—
2505C22⋊C4—794no—
2506C22⋊C4—794no—
2507C22⋊C4—792no—
2508C22⋊C4—792no—
2509C22⋊C4—792no—
2510C22⋊C4—792no—
2511C22⋊C4—792no—
2512C22⋊C4—792no—
2513C22⋊C4—794no—
2514C22⋊C4—792no—
2515C22⋊C4—792no—
2516C22⋊C4—792no—
2517C22⋊C4—792no—
2518C22⋊C4—792no—
2519C22⋊C4—794no—
2520C22⋊C4—792no—
2521C22⋊C4—794no—
2522C22⋊C4—794no—
2523C22⋊C4—794no—
2524C22⋊C4—794no—
2525C22⋊C4—794no—
2526C22⋊C4—794no—
2527C22⋊C4—794no—
2528C22⋊C4—794no—
2529C22⋊C4—794no—
2530C22⋊C4C23×D7912yes—
2531C22⋊C4C23×D7912yes—
2532C22⋊C4C23×D7914yes—
2533C22⋊C4C23×D7914yes—
2534C22⋊C4C23×D7912yes—
2535C22⋊C4C23×D7912yes—
2536C22⋊C4C23×D7912yes—
2537C22⋊C4C23×D7914yes—
2538C22⋊C4C23×D7914yes—
2539C22⋊C4C23×D7914yes—
2540C22⋊C4C23×D7914yes—
2541C22⋊C4C23×D7914yes—
2542C42—792no—
2543C42—792no—
2544C42—794no—
2545C42—794no—
2546C42—792no—
2547C42—792no—
2548C42—792no—
2549C42—792no—
2550C42—792no—
2551C42—794no—
2552C42—794no—
2553C42—794no—
2554C42—794no—
2555C42—794no—
2556C42C23×D7912yes—
2557C42C23×D7914yes—
2558C23—22no—
2559C23—22no—
2560C23—24no—
2561C23—41no—
2562C23—42no—
2563C23—42no—
2564C23—3161no—
2565C23—3161no—
2566C23—3161no—
2567C23—3161no—
2568C23—3161no—
2569C23—3161no—
2570C23—3161no—
2571C23—3161no—
2572C23—3161no—
2573C23—3161no—
2574C23—3161no—
2575C23—3162no—
2576C23—3162no—
2577C23—3162no—
2578C23—3162no—
2579C23—3164no—
2580C23—3164no—
2581C23—3164no—
2582C23—31616no—
2583C23—791no—
2584C23—791no—
2585C23—791no—
2586C23—791no—
2587C23—792no—
2588C23—794no—
2589C23—1582no—
2590C23—1582no—
2591C23—1582no—
2592C23—1584no—
2593C23—1582no—
2594C23—1582no—
2595C23—1582no—
2596C23—1582no—
2597C23—1584no—
2598C23C24×D7911yescharacteristic
2599C23C24×D7912yes—
2600C23C24×D7912yes—
2601C23C24×D7912yes—
2602C23C24×D7911yescharacteristic
2603C23C24×D7911yescharacteristic
2604Q8—24no—
2605Q8—24no—
2606Q8—22no—
2607Q8—22no—
2608Q8—22no—
2609Q8—44no—
2610Q8—42no—
2611Q8—3162no—
2612Q8—3164no—
2613Q8—3164no—
2614Q8—1582no—
2615D4—24no—
2616D4—24no—
2617D4—24no—
2618D4—24no—
2619D4—22no—
2620D4—22no—
2621D4—22no—
2622D4—42no—
2623D4—42no—
2624D4—42no—
2625D4—42no—
2626D4—44no—
2627D4—44no—
2628D4—3164no—
2629D4—3162no—
2630D4—3164no—
2631D4—3164no—
2632D4—3162no—
2633D4—3164no—
2634D4—3162no—
2635D4—3164no—
2636D4—3162no—
2637D4—3164no—
2638D4—3162no—
2639D4—3162no—
2640D4—3162no—
2641D4—3162no—
2642D4—3162no—
2643D4—3162no—
2644D4—3164no—
2645D4—3164no—
2646D4—3164no—
2647D4—3162no—
2648D4—3162no—
2649D4—3162no—
2650D4—3162no—
2651D4—3164no—
2652D4—3164no—
2653D4—1588no—
2654D4—1584no—
2655D4—1584no—
2656D4—1584no—
2657D4—1584no—
2658D4—1588no—
2659D4—1582no—
2660D4—1584no—
2661D4—1584no—
2662C2×C4—22no—
2663C2×C4—24no—
2664C2×C4—22no—
2665C2×C4—22no—
2666C2×C4—22no—
2667C2×C4—22no—
2668C2×C4—24no—
2669C2×C4—24no—
2670C2×C4—24no—
2671C2×C4—42no—
2672C2×C4—42no—
2673C2×C4—42no—
2674C2×C4—42no—
2675C2×C4—44no—
2676C2×C4—44no—
2677C2×C4—44no—
2678C2×C4—3161no—
2679C2×C4—3161no—
2680C2×C4—3161no—
2681C2×C4—3161no—
2682C2×C4—3161no—
2683C2×C4—3161no—
2684C2×C4—3161no—
2685C2×C4—3161no—
2686C2×C4—3162no—
2687C2×C4—3162no—
2688C2×C4—3164no—
2689C2×C4—3164no—
2690C2×C4—3164no—
2691C2×C4—3164no—
2692C2×C4—3162no—
2693C2×C4—3164no—
2694C2×C4—3164no—
2695C2×C4—3161no—
2696C2×C4—3161no—
2697C2×C4—3161no—
2698C2×C4—3161no—
2699C2×C4—3162no—
2700C2×C4—3162no—
2701C2×C4—3164no—
2702C2×C4—3162no—
2703C2×C4—3164no—
2704C2×C4—792no—
2705C2×C4—792no—
2706C2×C4—792no—
2707C2×C4—794no—
2708C2×C4—792no—
2709C2×C4—792no—
2710C2×C4—791no—
2711C2×C4—791no—
2712C2×C4—791no—
2713C2×C4—792no—
2714C2×C4—792no—
2715C2×C4—791no—
2716C2×C4—1584no—
2717C2×C4—1582no—
2718C2×C4—1582no—
2719C2×C4—1584no—
2720C2×C4—1582no—
2721C2×C4—1582no—
2722C2×C4—1582no—
2723C2×C4—1582no—
2724C2×C4—1582no—
2725C2×C4—1582no—
2726C2×C4—1582no—
2727C2×C4—1582no—
2728C2×C4—1584no—
2729C2×C4#1457920614yes—
2730C2×C4C24×D7911yescharacteristic
2731C2×C4C24×D7914yes—
2732C2×C4C24×D7912yes—
2733C2×C4C24×D7914yes—
2734C2×C4C24×D7912yes—
2735C2×C4C24×D7912yes—
2736C2×C4C24×D7912yes—
2737C2×C4C24×D7912yes—
2738C2×C4C24×D7911yescharacteristic
2739C2×C4C24×D7911yescharacteristic
2740C2×C4C24×D7911yescharacteristic
2741C22—21no—
2742C22—21no—
2743C22—21no—
2744C22—21no—
2745C22—21no—
2746C22—22no—
2747C22—22no—
2748C22—22no—
2749C22—22no—
2750C22—22no—
2751C22—21no—
2752C22—22no—
2753C22—22no—
2754C22—22no—
2755C22—22no—
2756C22—21no—
2757C22—44no—
2758C22—84no—
2759C22—3164no—
2760C22—3164no—
2761C22—3164no—
2762C22—3164no—
2763C22—3164no—
2764C22—3164no—
2765C22—792no—
2766C22—6324no—
2767C22—6324no—
2768C22—1584no—
2769C22—1581no—
2770C22—1581no—
2771C22—1581no—
2772C22—1582no—
2773C22—1582no—
2774C22—1584no—
2775C22—1581no—
2776C22—1581no—
2777C22—1581no—
2778C22—1584no—
2779C22—1581no—
2780C22—1581no—
2781C22—1581no—
2782C22—1582no—
2783C22—1581no—
2784C22—1581no—
2785C22—12644no—
2786C22C2×#1457920612yes—
2787C22#1909940012yes—
2788C22C25×D7911yescharacteristic
2789C4—21no—
2790C4—21no—
2791C4—22no—
2792C4—22no—
2793C4—22no—
2794C4—24no—
2795C4—22no—
2796C4—24no—
2797C4—22no—
2798C4—1581no—
2799C4—1581no—
2800C4—1581no—
2801C4—1581no—
2802C4—1582no—
2803C4—1582no—
2804C4—1582no—
2805C4—1582no—
2806C4—1582no—
2807C4—1582no—
2808C4—1584no—
2809C4—1582no—
2810C4C2×#1457920612yes—
2811C4C2×#1457920612yes—
2812C2—22no—
2813C2—22no—
2814C2—41no—
2815C2—42no—
2816C2—42no—
2817C2—42no—
2818C2—3161no—
2819C2—3161no—
2820C2—3161no—
2821C2—3162no—
2822C2—3164no—
2823C2—1582no—
2824C2C22×#1457920611yescharacteristic
2825C2#585×D7911yescharacteristic
2826C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3489C2
hypercenter#3489D79
hypocenterC79#62821
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3489

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23777704C2semidirect
2. #23777702C2semidirect
3. #23777698C2semidirect
4. #23777695C2semidirect
5. #23777677C2semidirect
6. #23777674C2semidirect
7. #23777655C2semidirect
8. #23777653C2semidirect
9. #23777570C2semidirect
10. #23777549C2semidirect
11. #23777450C2semidirect
12. #23777443C2semidirect
13. #23777429C2semidirect
14. #23777420C2semidirect
15. #23777335C2semidirect
16. #23777333C2semidirect
17. #23777250C2semidirect
18. #23777243C2semidirect
19. #23777241C2semidirect
20. #23777236C2semidirect
21. #23777149C2semidirect
22. #23777146C2semidirect
23. #23777137C2semidirect
24. #23777136C2semidirect
25. #23777119C2semidirect
26. #23777113C2semidirect
27. #23777073C2semidirect
28. #23777069C2semidirect
29. #23777064C2semidirect
30. #23777055C2semidirect
31. #23777043C2semidirect
32. C2×#19099076C2semidirect
33. C2×#19099070C2semidirect
34. #525×D79C2semidirect
35. C79×#3489C2semidirect
36. C2×#14579207C22semidirect
37. C22×#11929625C22semidirect
38. C2×#41×D79C22semidirect
39. C23×C4×D79C22semidirect
40. #19099312C22semidirect
41. #19099310C22semidirect
42. #19099309C22semidirect
43. #19099305C22semidirect
44. #19099303C22semidirect
45. #19099301C22semidirect
46. #19099301C22semidirect
47. #19099301C22semidirect
48. #19099297C22semidirect
49. #19099297C22semidirect
50. #19099296C22semidirect
51. #19099286C22semidirect
52. #19099284C22semidirect
53. #19099284C22semidirect
54. #19099284C22semidirect
55. #19099284C22semidirect
56. #19099281C22semidirect
57. #19099278C22semidirect
58. #19099278C22semidirect
59. #19099277C22semidirect
60. #19099277C22semidirect
61. #19099276C22semidirect
62. #19099276C22semidirect
63. #19099274C22semidirect
64. #19099271C22semidirect
65. #19099271C22semidirect
66. #19099267C22semidirect
67. #19099265C22semidirect
68. #19099265C22semidirect
69. #19099263C22semidirect
70. #19099262C22semidirect
71. #19099262C22semidirect
72. #19099261C22semidirect
73. #19099261C22semidirect
74. #19099261C22semidirect
75. #19099261C22semidirect
76. #19099260C22semidirect
77. #19099259C22semidirect
78. #19099259C22semidirect
79. #19099258C22semidirect
80. #19099258C22semidirect
81. #19099257C22semidirect
82. #19099256C22semidirect
83. #19099255C22semidirect
84. #19099255C22semidirect
85. #19099255C22semidirect
86. #19099255C22semidirect
87. #19099254C22semidirect
88. #19099250C22semidirect
89. #19099248C22semidirect
90. #19099248C22semidirect
91. #19099247C22semidirect
92. #19099247C22semidirect
93. #19099243C22semidirect
94. #19099242C22semidirect
95. #19099240C22semidirect
96. #19099240C22semidirect
97. #19099240C22semidirect
98. #19099240C22semidirect
99. #19099239C22semidirect
100. #19099239C22semidirect
101. #19099236C22semidirect
102. #19099236C22semidirect
103. #19099232C22semidirect
104. #19099232C22semidirect
105. #19099232C22semidirect
106. #19099232C22semidirect
107. #19099232C22semidirect
108. #19099231C22semidirect
109. Q8×C22⋊D79C22semidirect
110. #19099224C22semidirect
111. #19099224C22semidirect
112. #19099224C22semidirect
113. #19099224C22semidirect
114. #19099224C22semidirect
115. #19099224C22semidirect
116. #19099223C22semidirect
117. #19099217C22semidirect
118. #19099216C22semidirect
119. #19099216C22semidirect
120. #19099215C22semidirect
121. #19099215C22semidirect
122. #19099214C22semidirect
123. #19099212C22semidirect
124. #19099212C22semidirect
125. #19099210C22semidirect
126. #19099209C22semidirect
127. #19099208C22semidirect
128. #19099206C22semidirect
129. #19099206C22semidirect
130. #19099204C22semidirect
131. #19099204C22semidirect
132. #19099204C22semidirect
133. #19099203C22semidirect
134. #19099202C22semidirect
135. #19099201C22semidirect
136. #19099201C22semidirect
137. #19099201C22semidirect
138. #19099201C22semidirect
139. #19099200C22semidirect
140. #19099200C22semidirect
141. #19099197C22semidirect
142. #19099197C22semidirect
143. D4×C22⋊D79C22semidirect
144. D4×C22⋊D79C22semidirect
145. #19099195C22semidirect
146. #19099194C22semidirect
147. #19099191C22semidirect
148. #19099187C22semidirect
149. #19099187C22semidirect
150. #19099186C22semidirect
151. #19099186C22semidirect
152. #19099185C22semidirect
153. #19099183C22semidirect
154. #19099182C22semidirect
155. #19099177C22semidirect
156. #19099174C22semidirect
157. #19099173C22semidirect
158. #19099166C22semidirect
159. #19099166C22semidirect
160. #19099165C22semidirect
161. #19099164C22semidirect
162. #19099163C22semidirect
163. #19099163C22semidirect
164. #19099162C22semidirect
165. #19099162C22semidirect
166. #19099160C22semidirect
167. #19099159C22semidirect
168. #19099159C22semidirect
169. #19099156C22semidirect
170. #19099153C22semidirect
171. #19099150C22semidirect
172. #19099149C22semidirect
173. #19099149C22semidirect
174. #19099149C22semidirect
175. #19099149C22semidirect
176. #19099148C22semidirect
177. #19099147C22semidirect
178. #19099146C22semidirect
179. #19099146C22semidirect
180. #19099146C22semidirect
181. #19099145C22semidirect
182. #19099143C22semidirect
183. #19099141C22semidirect
184. #19099141C22semidirect
185. #19099141C22semidirect
186. #19099137C22semidirect
187. #19099137C22semidirect
188. #19099129C22semidirect
189. #19099129C22semidirect
190. #19099128C22semidirect
191. #19099127C22semidirect
192. #19099127C22semidirect
193. #19099127C22semidirect
194. #19099127C22semidirect
195. #19099125C22semidirect
196. #19099124C22semidirect
197. #19099121C22semidirect
198. #19099118C22semidirect
199. #19099115C22semidirect
200. #19099110C22semidirect
201. #19099108C22semidirect
202. #19099100C22semidirect
203. #19099099C22semidirect
204. #19099099C22semidirect
205. #19099094C22semidirect
206. #19099093C22semidirect
207. #19099092C22semidirect
208. #19099076C22semidirect
209. #19099076C22semidirect
210. #19099076C22semidirect
211. #19099076C22semidirect
212. #19099076C22semidirect
213. #19099076C22semidirect
214. #19099076C22semidirect
215. #19099076C22semidirect
216. #19099076C22semidirect
217. #19099076C22semidirect
218. #19099076C22semidirect
219. #19099075C22semidirect
221. #19099074C22semidirect
222. #19099073C22semidirect
223. #19099073C22semidirect
224. #19099072C22semidirect
225. #19099072C22semidirect
226. #19099071C22semidirect
228. #19099070C22semidirect
229. #19099070C22semidirect
230. #19099070C22semidirect
231. #19099070C22semidirect
232. #19099070C22semidirect
233. #19099070C22semidirect
234. #19099070C22semidirect
235. #19099070C22semidirect
236. #19099070C22semidirect
237. #19099070C22semidirect
238. #19099070C22semidirect
239. #19099070C22semidirect
240. #19099070C22semidirect
241. #19099070C22semidirect
242. #19099069C22semidirect
243. C2×#14579146C22semidirect
244. C2×#14579142C22semidirect
245. #123×D79C22semidirect
246. #123×D79C22semidirect
247. C2×#14579137C22semidirect
248. C2×#14579137C22semidirect
249. C2×#14579137C22semidirect
250. C2×#14579137C22semidirect
251. C22⋊Q8×D79C22semidirect
252. C22⋊Q8×D79C22semidirect
253. C2×#14579136C22semidirect
254. C2×#14579135C22semidirect
255. C2×#14579135C22semidirect
256. C2×#14579132C22semidirect
257. C2×#14579132C22semidirect
258. #121×D79C22semidirect
259. #121×D79C22semidirect
260. #121×D79C22semidirect
261. C2×#14579131C22semidirect
262. C2×#14579129C22semidirect
263. #120×D79C22semidirect
264. #19099046C22semidirect
265. #19099046C22semidirect
266. #19099044C22semidirect
267. #19099044C22semidirect
268. #19099042C22semidirect
269. #19099041C22semidirect
270. #19099037C22semidirect
271. #19099036C22semidirect
272. #19099035C22semidirect
273. C2×#14579123C22semidirect
274. C2×C4×C22⋊D79C22semidirect
275. C2×C4×C22⋊D79C22semidirect
276. C2×(C22⋊D79)⋊C4C22semidirect
277. C4×D4×D79C22semidirect
278. C4×D4×D79C22semidirect
279. C2×#14579120C22semidirect
280. C2×#14579119C22semidirect
281. #117×D79C22semidirect
282. C2×2−1+4×C79C22semidirect
283. C22×#41×C79C22semidirect
284. D4×Q8×C79C22semidirect
285. #548×C79C22semidirect
286. #547×C79C22semidirect
287. #547×C79C22semidirect
288. #546×C79C22semidirect
289. #546×C79C22semidirect
290. #537×C79C22semidirect
291. #537×C79C22semidirect
292. #536×C79C22semidirect
293. #536×C79C22semidirect
294. #525×C79C22semidirect
295. #525×C79C22semidirect
296. C2×C22⋊Q8×C79C22semidirect
297. C2×C22⋊Q8×C79C22semidirect
298. #520×C79C22semidirect
307. C2×#11929625C23semidirect
311. C2×#11929624C23semidirect
320. C22×D316C23semidirect
331. C2×D4×D79C23semidirect
348. #14579161C23semidirect
349. #14579160C23semidirect
350. #14579160C23semidirect
351. #14579160C23semidirect
352. #14579159C23semidirect
353. #14579159C23semidirect
358. #14579157C23semidirect
359. #14579157C23semidirect
365. #14579156C23semidirect
366. #14579156C23semidirect
367. #14579156C23semidirect
368. #14579156C23semidirect
369. #14579156C23semidirect
370. #14579156C23semidirect
372. #14579155C23semidirect
375. #14579154C23semidirect
376. #14579154C23semidirect
377. #14579154C23semidirect
378. #14579154C23semidirect
379. #14579154C23semidirect
380. #14579153C23semidirect
381. #14579152C23semidirect
382. #14579152C23semidirect
383. #14579152C23semidirect
384. #14579152C23semidirect
385. #14579152C23semidirect
386. #14579152C23semidirect
387. #14579151C23semidirect
388. #14579151C23semidirect
389. #14579151C23semidirect
390. #14579151C23semidirect
391. #14579151C23semidirect
395. #14579150C23semidirect
396. #14579150C23semidirect
397. #14579150C23semidirect
398. #14579150C23semidirect
401. #14579148C23semidirect
408. #14579147C23semidirect
409. #14579147C23semidirect
410. #14579147C23semidirect
411. #14579147C23semidirect
423. #14579146C23semidirect
424. #14579146C23semidirect
425. #14579146C23semidirect
432. #14579145C23semidirect
437. #14579144C23semidirect
438. #14579144C23semidirect
439. #14579144C23semidirect
445. #14579143C23semidirect
446. #14579143C23semidirect
447. #14579143C23semidirect
448. #14579143C23semidirect
458. #14579142C23semidirect
462. #14579141C23semidirect
463. #14579141C23semidirect
467. #14579140C23semidirect
468. #14579140C23semidirect
471. #14579139C23semidirect
472. #14579139C23semidirect
477. #14579138C23semidirect
497. #14579137C23semidirect
498. #14579137C23semidirect
499. #14579137C23semidirect
500. #14579137C23semidirect
501. #14579137C23semidirect
502. #14579137C23semidirect
503. #14579137C23semidirect
527. #14579135C23semidirect
528. #14579135C23semidirect
529. #14579135C23semidirect
530. #14579135C23semidirect
531. #14579135C23semidirect
532. #14579135C23semidirect
542. #14579134C23semidirect
552. #14579133C23semidirect
553. #14579133C23semidirect
554. #14579133C23semidirect
571. #14579132C23semidirect
572. #14579132C23semidirect
573. #14579132C23semidirect
602. #14579129C23semidirect
603. #14579129C23semidirect
604. Q8×Dic79C23semidirect
605. Q8×Dic79C23semidirect
606. Q8×Dic79C23semidirect
607. Q8×Dic79C23semidirect
608. Q8×Dic79C23semidirect
609. Q8×Dic79C23semidirect
610. C4×Dic158C23semidirect
611. #14579126C23semidirect
612. #14579126C23semidirect
613. #14579126C23semidirect
614. #14579126C23semidirect
618. C4×D316C23semidirect
619. C4×D316C23semidirect
624. D4×Dic79C23semidirect
625. D4×Dic79C23semidirect
626. D4×Dic79C23semidirect
634. #14579123C23semidirect
635. #14579123C23semidirect
636. #14579123C23semidirect
660. C4×C22⋊D79C23semidirect
661. C4×C22⋊D79C23semidirect
662. C4×C22⋊D79C23semidirect
663. C4×C22⋊D79C23semidirect
664. C4×C22⋊D79C23semidirect
665. C4×C22⋊D79C23semidirect
666. C4×C22⋊D79C23semidirect
667. C4×C22⋊D79C23semidirect
679. (C22⋊D79)⋊C4C23semidirect
680. (C22⋊D79)⋊C4C23semidirect
689. #14579120C23semidirect
690. #14579120C23semidirect
691. #14579120C23semidirect
699. #14579119C23semidirect
700. #14579119C23semidirect
701. #14579119C23semidirect
703. #14579118C23semidirect
704. #14579118C23semidirect
707. #14579117C23semidirect
708. #14579117C23semidirect
709. #14579117C23semidirect
713. C2×C4⋊Dic79C23semidirect
714. C2×C4⋊Dic79C23semidirect
718. C2×Dic79⋊C4C23semidirect
723. C4⋊C4×D79C23semidirect
724. C4⋊C4×D79C23semidirect
725. C4⋊C4×D79C23semidirect
736. C2×(C2×D79)⋊C4C23semidirect
743. C22⋊C4×D79C23semidirect
744. C22⋊C4×D79C23semidirect
745. C22⋊C4×D79C23semidirect
759. C2×#41×C79C23semidirect
760. C2×#41×C79C23semidirect
763. C22×Q8×C79C23semidirect
764. C22×Q8×C79C23semidirect
769. C4⋊Q8×C79C23semidirect
770. C4⋊Q8×C79C23semidirect
772. #124×C79C23semidirect
776. #123×C79C23semidirect
777. #123×C79C23semidirect
785. C22⋊Q8×C79C23semidirect
786. C22⋊Q8×C79C23semidirect
787. C22⋊Q8×C79C23semidirect
788. C22⋊Q8×C79C23semidirect
789. C22⋊Q8×C79C23semidirect
790. C22⋊Q8×C79C23semidirect
796. #121×C79C23semidirect
797. #121×C79C23semidirect
798. #121×C79C23semidirect
801. C4×Q8×C79C23semidirect
806. C4×D4×C79C23semidirect
807. C4×D4×C79C23semidirect
809. #117×C79C23semidirect
812. C2×C4⋊C4×C79C23semidirect
813. C2×C4⋊C4×C79C23semidirect
1441. #3489D79semidirect
1449. C79#62821semidirect
1450. C2×2−1+4C2×D79semidirect
1454. C22×#41C2×D79semidirect
1526. D4×Q8C2×D79semidirect
1534. #548C2×D79semidirect
1543. #547C2×D79semidirect
1544. #547C2×D79semidirect
1561. #546C2×D79semidirect
1562. #546C2×D79semidirect
1608. #537C2×D79semidirect
1609. #537C2×D79semidirect
1612. #536C2×D79semidirect
1613. #536C2×D79semidirect
1669. #525C2×D79semidirect
1670. #525C2×D79semidirect
1681. C2×C22⋊Q8C2×D79semidirect
1682. C2×C22⋊Q8C2×D79semidirect
1699. #520C2×D79semidirect
1740. C2×#41C22×D79semidirect
1741. C2×#41C22×D79semidirect
1745. C22×Q8C22×D79semidirect
1746. C22×Q8C22×D79semidirect
1788. C4⋊Q8C22×D79semidirect
1789. C4⋊Q8C22×D79semidirect
1849. #124C22×D79semidirect
1900. #123C22×D79semidirect
1901. #123C22×D79semidirect
1954. C22⋊Q8C22×D79semidirect
1955. C22⋊Q8C22×D79semidirect
1956. C22⋊Q8C22×D79semidirect
1957. C22⋊Q8C22×D79semidirect
1958. C22⋊Q8C22×D79semidirect
1959. C22⋊Q8C22×D79semidirect
2035. #121C22×D79semidirect
2036. #121C22×D79semidirect
2037. #121C22×D79semidirect
2081. C4×Q8C22×D79semidirect
2152. C4×D4C22×D79semidirect
2153. C4×D4C22×D79semidirect
2184. #117C22×D79semidirect
2203. C2×C4⋊C4C22×D79semidirect
2204. C2×C4⋊C4C22×D79semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237777042
#237777022
#237776982
#237776952
#237776772
#237776742
#237776552
#237776532
#237775702
#237775492
#237774502
#237774432
#237774292
#237774202
#237773352
#237773332
#237772502
#237772432
#237772412
#237772362
#237771492
#237771462
#237771372
#237771362
#237771192
#237771132
#237770732
#237770692
#237770642
#237770552
#237770432
C2×#190990762
C2×#190990702
#525×D792
C79×#34892
#6282179