Finite Group Databasebeta

← #35197213

Subgroups — #35197213

Order 20224.

7254 conjugacy classes of subgroups.

The subgroup lattice has 2688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777985C214yesmaximal, complemented
2#23777983C214yesmaximal, complemented
3#23777871C211yesmaximal, characteristic, complemented
4#23777860C212yesmaximal, complemented
5#23777774C211yesmaximal, characteristic, complemented
6#23777769C212yesmaximal, complemented
7#23777766C211yesmaximal, characteristic, complemented
8#23777722C212yesmaximal, complemented
9#23777713C214yesmaximal, complemented
10#23777712C212yesmaximal, complemented
11#23777407C211yesmaximal, characteristic, complemented
12#23777405C212yesmaximal, complemented
13#23777403C211yesmaximal, characteristic, complemented
14#23777362C211yesmaximal, characteristic, complemented
15#23777360C211yesmaximal, characteristic, complemented
16#23777354C212yesmaximal, complemented
17#23777343C212yesmaximal, complemented
18#23777339C212yesmaximal, complemented
19#23777330C214yesmaximal, complemented
20#23777308C212yesmaximal, complemented
21#23777305C212yesmaximal, complemented
22#23777292C212yesmaximal, complemented
23#23777283C211yesmaximal, characteristic, complemented
24#23777273C211yesmaximal, characteristic, complemented
25#23777273C212yesmaximal, complemented
26#23777272C212yesmaximal, complemented
27#23777189C212yesmaximal, complemented
28#23777184C211yesmaximal, characteristic, complemented
29#23777177C211yesmaximal, characteristic, complemented
30#23777057C212yesmaximal, complemented
31#23777039C212yesmaximal, complemented
32#23776697C211yesmaximal, characteristic, complemented
33#23776694C211yesmaximal, characteristic, complemented
34#532×D79C211yesmaximal, characteristic, complemented
35C79×#3554C211yesmaximal, characteristic, complemented
36C2×#14579209C2212yescomplemented
37C2×#14579207C2212yes—
38C2×#41×D79C2212yescomplemented
39#19099310C2214yescomplemented
40#19099309C2214yescomplemented
41#19099309C2214yescomplemented
42#19099304C2214yescomplemented
43#19099303C2214yescomplemented
44#19099303C2214yescomplemented
45#19099301C2214yescomplemented
46#19099298C2212yescomplemented
47#19099298C2211yescharacteristic, complemented
48#19099297C2214yescomplemented
49#19099297C2214yescomplemented
50#19099295C2214yescomplemented
51#19099295C2212yescomplemented
52#19099291C2211yescharacteristic, complemented
53#19099288C2212yescomplemented
54#19099287C2211yescharacteristic, complemented
55#19099286C2211yescharacteristic, complemented
56#19099285C2212yescomplemented
57#19099284C2214yescomplemented
58#19099280C2214yescomplemented
59#19099279C2212yescomplemented
60#19099278C2212yescomplemented
61#19099275C2214yescomplemented
62#19099273C2212yescomplemented
63#19099267C2214yescomplemented
64#19099266C2212yescomplemented
65#19099266C2212yescomplemented
66#19099266C2214yescomplemented
67#19099264C2214yescomplemented
68#19099263C2212yescomplemented
69#19099263C2212yescomplemented
70#19099261C2214yescomplemented
71#19099258C2214yescomplemented
72#19099258C2214yescomplemented
73#19099256C2214yescomplemented
74#19099254C2212yescomplemented
75#19099251C2212yescomplemented
76#19099245C2214yescomplemented
77#19099243C2214yescomplemented
78#19099242C2214yescomplemented
79#19099240C2214yescomplemented
80#19099240C2214yescomplemented
81#19099240C2214yescomplemented
82#19099238C2214yescomplemented
83#19099236C2214yescomplemented
84#19099236C2214yescomplemented
85#19099235C2212yescomplemented
86#19099235C2211yescharacteristic, complemented
87#19099235C2212yescomplemented
88#19099235C2211yescharacteristic, complemented
89#19099234C2212yescomplemented
90#19099234C2214yescomplemented
91#19099234C2212yescomplemented
92#19099233C2212yescomplemented
93#19099233C2211yescharacteristic, complemented
94#19099232C2212yescomplemented
95#19099232C2212yescomplemented
96#19099231C2212yescomplemented
97#19099231C2214yescomplemented
98#19099231C2214yescomplemented
99Q8×D316C2211yescharacteristic, complemented
100Q8×C22⋊D79C2212yescomplemented
101#19099224C2212yescomplemented
102#19099223C2214yescomplemented
103#19099223C2214yescomplemented
104#19099223C2214yescomplemented
105#19099223C2212yescomplemented
106#19099221C2214yescomplemented
107#19099221C2212yescomplemented
108#19099218C2212yescomplemented
109#19099218C2211yescharacteristic, complemented
110#19099216C2212yescomplemented
111#19099216C2212yescomplemented
112#19099216C2211yescharacteristic, complemented
113#19099215C2212yescomplemented
114#19099215C2214yescomplemented
115#19099215C2212yescomplemented
116#19099214C2214yescomplemented
117#19099212C2212yescomplemented
118#19099211C2214yescomplemented
119#19099209C2212yescomplemented
120#19099208C2212yescomplemented
121#19099208C2212yescomplemented
122#19099208C2212yescomplemented
123#19099208C2212yescomplemented
124#19099206C2212yescomplemented
125#19099206C2212yescomplemented
126#19099206C2212yescomplemented
127#19099205C2214yescomplemented
128#19099205C2214yescomplemented
129#19099205C2214yescomplemented
130#19099205C2214yescomplemented
131#19099205C2214yescomplemented
132#19099205C2214yescomplemented
133#19099205C2214yescomplemented
134#19099204C2212yescomplemented
135#19099204C2214yescomplemented
136#19099204C2214yescomplemented
137#19099202C2214yescomplemented
138#19099202C2214yescomplemented
139#19099201C2212yescomplemented
140D4×D316C2212yes—
141D4×D316C2211yescharacteristic, complemented
142#19099198C2212yes—
143#19099198C2211yescharacteristic, complemented
144#19099197C2214yes—
145#19099197C2212yescomplemented
146#19099187C2212yescomplemented
147#19099187C2212yescomplemented
148#19099184C2212yescomplemented
149#19099184C2212yescomplemented
150#19099183C2214yescomplemented
151#19099183C2214yescomplemented
152#19099182C2212yescomplemented
153#19099182C2212yescomplemented
154#19099172C2214yescomplemented
155#19099169C2212yescomplemented
156#19099169C2214yescomplemented
157#19099168C2212yescomplemented
158#19099167C2212yescomplemented
159#19099166C2214yescomplemented
160#19099165C2214yescomplemented
161#19099165C2214yescomplemented
162#19099165C2214yescomplemented
163#19099165C2214yescomplemented
164#19099163C2214yescomplemented
165#19099162C2214yescomplemented
166#19099161C2214yescomplemented
167#19099156C2214yescomplemented
168#19099153C2214yescomplemented
169#19099153C2214yescomplemented
170#19099152C2214yescomplemented
171#19099150C2214yescomplemented
172#19099149C2214yescomplemented
173#19099147C2214yescomplemented
174#19099147C2214yescomplemented
175#19099146C2214yescomplemented
176#19099143C2212yescomplemented
177#19099143C2214yescomplemented
178#19099142C2212yescomplemented
179#19099138C2212yes—
180#19099138C2212yescomplemented
181#19099136C2212yescomplemented
182#19099136C2214yescomplemented
183#19099132C2212yescomplemented
184#19099131C2212yescomplemented
185#19099131C2214yescomplemented
186#19099131C2212yescomplemented
187#19099131C2214yescomplemented
188#19099129C2212yes—
189#19099129C2214yescomplemented
190#19099129C2214yescomplemented
191#19099129C2212yescomplemented
192#19099129C2212yescomplemented
193#19099124C2214yescomplemented
194#19099121C2214yescomplemented
195#19099119C2212yescomplemented
196#19099119C2211yescharacteristic, complemented
197#19099118C2211yescharacteristic, complemented
198#19099118C2211yescharacteristic, complemented
199#19099117C2212yescomplemented
200#19099117C2211yescharacteristic, complemented
201#19099115C2211yescharacteristic, complemented
202#19099114C2211yescharacteristic
203#19099114C2211yescharacteristic, complemented
204#19099114C2212yescomplemented
205#19099114C2211yescharacteristic, complemented
206#19099113C2211yescharacteristic, complemented
207#19099113C2211yescharacteristic, complemented
208#19099112C2212yescomplemented
209#19099112C2212yescomplemented
210#19099112C2211yescharacteristic, complemented
211#19099111C2211yescharacteristic, complemented
212#19099110C2211yescharacteristic
213#19099110C2212yescomplemented
214#19099110C2212yescomplemented
215#19099110C2212yescomplemented
216#19099110C2212yescomplemented
217#19099110C2212yescomplemented
218#19099109C2212yescomplemented
219#19099109C2212yescomplemented
220#19099108C2212yescomplemented
221#19099108C2212yescomplemented
222#19099108C2211yescharacteristic, complemented
223C4⋊Q8×D79C2211yescharacteristic, complemented
224C4⋊Q8×D79C2212yescomplemented
225#127×D79C2211yescharacteristic
226#127×D79C2212yescomplemented
227#19099100C2212yescomplemented
228#19099100C2212yescomplemented
229#19099100C2211yescharacteristic, complemented
230#19099100C2211yescharacteristic, complemented
231#19099099C2212yescomplemented
232#19099099C2211yescharacteristic, complemented
233#19099099C2211yescharacteristic, complemented
234#19099099C2212yescomplemented
235#19099098C2212yescomplemented
236#19099098C2211yescharacteristic, complemented
237#19099098C2212yescomplemented
238#19099097C2211yescharacteristic, complemented
239#19099096C2212yescomplemented
240#19099096C2212yescomplemented
241#19099095C2212yescomplemented
242#19099094C2212yescomplemented
243#19099092C2211yescharacteristic, complemented
244#19099091C2212yescomplemented
245#19099090C2212yescomplemented
246C2×#14579150C2212yescomplemented
247#124×D79C2212yescomplemented
248#124×D79C2212yescomplemented
249#19099076C2211yescharacteristic
250#19099076C2211yescharacteristic, complemented
251#19099076C2214yescomplemented
252#19099076C2211yescharacteristic, complemented
253#19099076C2212yescomplemented
254#19099075C2212yescomplemented
255#19099073C2211yescharacteristic, complemented
256#19099072C2212yescomplemented
257#19099072C2214yescomplemented
258#19099071C2212yescomplemented
259C2×#14579146C2214yescomplemented
260#123×D79C2214yescomplemented
261#121×D79C2212yescomplemented
262#121×D79C2212yescomplemented
263#19099045C2212yescomplemented
264#19099044C2214yescomplemented
265#19099042C2212yescomplemented
266#19099039C2212yescomplemented
267#19099035C2212yescomplemented
268#19099035C2214yescomplemented
269#19099035C2212yescomplemented
270#19099035C2212yescomplemented
271C4×#11929625C2211yescharacteristic
272C4×#11929625C2212yescomplemented
273C4×#11929625C2211yescharacteristic, complemented
274C4×#11929625C2211yescharacteristic, complemented
275#19099031C2212yescomplemented
276#19099031C2212yescomplemented
277C4×#11929623C2212yescomplemented
278C4×#11929623C2211yescharacteristic, complemented
279C4×D4×D79C2212yescomplemented
280C4×D4×D79C2212yescomplemented
281C2×C42×D79C2211yescharacteristic, complemented
282#562×C79C2214yescomplemented
283#559×C79C2212yescomplemented
284#559×C79C2211yescharacteristic, complemented
285#557×C79C2211yescharacteristic, complemented
286#554×C79C2212yescomplemented
287#550×C79C2211yescharacteristic, complemented
288D4×Q8×C79C2211yescharacteristic, complemented
289#548×C79C2212yescomplemented
290#547×C79C2212yescomplemented
291#542×C79C2212yescomplemented
292#542×C79C2212yescomplemented
293#540×C79C2212yescomplemented
294#539×C79C2214yescomplemented
295#536×C79C2212yescomplemented
296#533×C79C2211yescharacteristic, complemented
297#532×C79C2211yescharacteristic, complemented
298#529×C79C2211yescharacteristic, complemented
299#14579209—48no—
300#14579207—48no—
301C2×#11929625C2311yescharacteristic
302C2×#11929625C2311yescharacteristic
303C2×#11929625C2312yes—
304C2×#11929625C2314yes—
305C2×#11929625C2312yes—
306C2×#11929625C2312yes—
307C2×#11929625C2312yes—
308C2×#11929625C2312yes—
309C2×#11929625C2311yescharacteristic
310C2×#11929624C2312yes—
311C2×#11929624C2314yes—
312C2×#11929624C2314yes—
313C2×#11929624C2314yes—
314C2×#11929624C2312yes—
315C2×#11929624C2312yes—
316C2×#11929624C2314yes—
317C2×#11929624C2314yes—
318C2×#11929624C2312yes—
319C2×#11929623C2312yes—
320C2×#11929623C2312yes—
321C2×#11929623C2314yes—
322C2×#11929623C2311yescharacteristic
323C2×#11929623C2312yes—
324#41×D79—48no—
325C2×Q8×D79C2312yes—
326C2×Q8×D79C2314yes—
327C2×Q8×D79C2312yes—
328C22×D316C2314yes—
329C22×D316C2312yes—
330C2×D4×D79C2312yes—
331C2×D4×D79C2314yes—
332C2×D4×D79C2312yes—
333C2×D4×D79C2314yes—
334C2×D4×D79C2312yes—
335C2×D4×D79C2314yes—
336C2×D4×D79C2312yes—
337C2×D4×D79C2312yes—
338C2×D4×D79C2312yes—
339C2×D4×D79C2314yes—
340C22×C4×D79C2311yescharacteristic
341C22×C4×D79C2311yescharacteristic
342C22×C4×D79C2311yescharacteristic
343C22×C4×D79C2314yes—
344#14579161C2311yescharacteristic
345#14579161C2312yes—
346#14579161C2311yescharacteristic
347#14579160C2312yes—
348#14579160C2314yes—
349#14579160C2312yes—
350#14579160C2311yescharacteristic
351#14579160C2311yescharacteristic
352#14579159C2312yes—
353#14579159C2314yes—
354#14579159C2312yes—
355#14579159C2311yescharacteristic
356#14579158C2312yes—
357#14579158C2314yes—
358#14579158C2311yescharacteristic
359#14579158C2312yes—
360#14579158C2311yescharacteristic
361#14579157C2314yes—
362#14579157C2314yes—
363#14579157C2312yes—
364#14579157C2314yes—
365#14579157C2314yes—
366#14579157C2312yes—
367#14579157C2312yes—
368#14579157C2314yes—
369#14579157C2312yes—
370#14579157C2311yescharacteristic
371#14579156C2314yes—
372#14579156C2314yes—
373#14579156C2314yes—
374#14579156C2314yes—
375#14579156C2312yes—
376#14579156C2314yes—
377#14579156C2314yes—
378#14579156C2314yes—
379#14579156C2312yes—
380#14579156C2312yes—
381#14579156C2312yes—
382#14579156C2312yes—
383#14579155C2312yes—
384#14579155C2314yes—
385#14579154C2312yes—
386#14579154C2314yes—
387#14579154C2314yes—
388#14579154C2314yes—
389#14579153C2312yes—
390#14579153C2311yescharacteristic
391#14579152C2312yes—
392#14579152C2314yes—
393#14579152C2311yescharacteristic
394#14579152C2311yescharacteristic
395#14579151C2314yes—
396#14579151C2314yes—
397#14579151C2312yes—
398#14579151C2314yes—
399#14579151C2312yes—
400#14579150C2312yes—
401#14579150C2312yes—
402#14579150C2312yes—
403#14579150C2314yes—
404#14579150C2314yes—
405#14579150C2314yes—
406#14579150C2314yes—
407#14579150C2311yescharacteristic
408#14579150C2312yes—
409#14579150C2311yescharacteristic
410#14579149C2312yes—
411#14579149C2312yes—
412#14579149C2312yes—
413#14579149C2312yes—
414#14579149C2311yescharacteristic
415#14579148C2312yes—
416#14579147C2314yes—
417#14579147C2312yes—
418#14579147C2314yes—
419#14579147C2314yes—
420#14579147C2314yes—
421#14579147C2314yes—
422#14579147C2314yes—
423#14579147C2314yes—
424#14579147C2314yes—
425#14579147C2312yes—
426#14579147C2314yes—
427#14579147C2314yes—
428#14579147C2314yes—
429#14579146C2314yes—
430#14579146C2314yes—
431#14579146C2314yes—
432#14579146C2314yes—
433#14579146C2314yes—
434#14579146C2314yes—
435#14579146C2314yes—
436#14579146C2312yes—
437#14579146C2314yes—
438#14579146C2314yes—
439#14579146C2314yes—
440#14579146C2314yes—
441#14579146C2314yes—
442#14579146C2314yes—
443#14579146C2312yes—
444#14579146C2314yes—
445#14579146C2314yes—
446#14579146C2312yes—
447#14579146C2312yes—
448#14579146C2312yes—
449#14579146C2312yes—
450#14579145C2312yes—
451#14579145C2314yes—
452#14579145C2314yes—
453#14579145C2314yes—
454#14579145C2312yes—
455#14579145C2314yes—
456#14579144C2314yes—
457#14579144C2314yes—
458#14579144C2312yes—
459#14579143C2314yes—
460#14579143C2314yes—
461#14579143C2314yes—
462#14579143C2314yes—
463#14579143C2314yes—
464#14579143C2314yes—
465#14579143C2314yes—
466#14579143C2312yes—
467#14579143C2312yes—
468#14579142C2314yes—
469#14579142C2314yes—
470#14579141C2314yes—
471#14579141C2312yes—
472#14579141C2312yes—
473#14579141C2311yescharacteristic
474#14579141C2312yes—
475#14579141C2312yes—
476#14579140C2314yes—
477#14579140C2312yes—
478#14579140C2311yescharacteristic
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2314yes—
482#14579139C2314yes—
483#14579139C2312yes—
484#14579139C2314yes—
485#14579139C2314yes—
486#14579139C2314yes—
487#14579139C2312yes—
488#14579139C2312yes—
489#14579138C2314yes—
490#14579138C2314yes—
491#14579138C2312yes—
492#14579137C2314yes—
493#14579137C2312yes—
494#14579137C2314yes—
495#14579137C2312yes—
496#14579137C2314yes—
497#14579137C2311yescharacteristic
498#14579137C2311yescharacteristic
499#14579137C2311yescharacteristic
500#14579137C2312yes—
501#14579136C2314yes—
502#14579136C2314yes—
503#14579136C2314yes—
504#14579136C2314yes—
505#14579136C2312yes—
506#14579136C2314yes—
507#14579136C2312yes—
508#14579136C2314yes—
509#14579136C2314yes—
510#14579136C2314yes—
511#14579136C2314yes—
512#14579136C2314yes—
513#14579136C2312yes—
514#14579136C2312yes—
515#14579136C2312yes—
516#14579136C2311yescharacteristic
517#14579136C2312yes—
518#14579136C2312yes—
519#14579136C2311yescharacteristic
520#14579136C2312yes—
521#14579136C2311yescharacteristic
522#14579136C2312yes—
523#14579135C2314yes—
524#14579135C2312yes—
525#14579135C2314yes—
526#14579135C2314yes—
527#14579135C2314yes—
528#14579135C2314yes—
529#14579135C2311yescharacteristic
530#14579135C2312yes—
531#14579135C2311yescharacteristic
532#14579135C2311yescharacteristic
533#14579135C2312yes—
534#14579135C2312yes—
535#14579134C2314yes—
536#14579134C2314yes—
537#14579134C2314yes—
538#14579134C2314yes—
539#14579134C2314yes—
540#14579134C2314yes—
541#14579134C2314yes—
542#14579134C2314yes—
543#14579134C2314yes—
544#14579134C2314yes—
545#14579134C2314yes—
546#14579134C2312yes—
547#14579134C2314yes—
548#14579134C2314yes—
549#14579134C2314yes—
550#14579134C2314yes—
551#14579134C2314yes—
552#14579134C2312yes—
553#14579134C2312yes—
554#14579134C2314yes—
555#14579133C2314yes—
556#14579133C2314yes—
557#14579133C2314yes—
558#14579133C2314yes—
559#14579133C2314yes—
560#14579133C2314yes—
561#14579133C2314yes—
562#14579133C2312yes—
563#14579133C2314yes—
564#14579132C2314yes—
565#14579132C2312yes—
566#14579132C2312yes—
567#14579132C2314yes—
568#14579132C2312yes—
569#14579132C2312yes—
570#14579132C2312yes—
571#14579132C2311yescharacteristic
572#14579132C2312yes—
573#14579131C2314yes—
574#14579131C2314yes—
575#14579131C2314yes—
576#14579131C2314yes—
577#14579131C2314yes—
578#14579131C2314yes—
579#14579131C2314yes—
580#14579131C2314yes—
581#14579131C2314yes—
582#14579131C2314yes—
583#14579131C2314yes—
584#14579131C2312yes—
585#14579131C2312yes—
586#14579131C2312yes—
587#14579129C2314yes—
588#14579129C2314yes—
589#14579129C2314yes—
590#14579129C2314yes—
591#14579129C2314yes—
592#14579129C2312yes—
593Q8×Dic79C2311yescharacteristic
594Q8×Dic79C2312yes—
595Q8×Dic79C2311yescharacteristic
596Q8×Dic79C2311yescharacteristic
597Q8×Dic79C2312yes—
598C4×Dic158C2314yes—
599C4×Dic158C2312yes—
600C4×Dic158C2312yes—
601C4×Dic158C2311yescharacteristic
602C4×Dic158C2312yes—
603#14579126C2314yes—
604#14579126C2312yes—
605#14579126C2314yes—
606#14579126C2311yescharacteristic
607#14579126C2312yes—
608#14579126C2312yes—
609#14579126C2312yes—
610#14579126C2312yes—
611#14579126C2312yes—
612C4×D316C2314yes—
613C4×D316C2314yes—
614C4×D316C2312yes—
615C4×D316C2312yes—
616C4×D316C2312yes—
617C4×D316C2312yes—
618C4×D316C2312yes—
619C4×D316C2312yes—
620C4×D316C2311yescharacteristic
621C4×D316C2311yescharacteristic
622C4×D316C2312yes—
623C4×D316C2312yes—
624C4×D316C2312yes—
625C4×D316C2312yes—
626C4×D316C2312yes—
627C4×D316C2311yescharacteristic
628C4×D316C2312yes—
629D4×Dic79C2312yes—
630D4×Dic79C2314yes—
631D4×Dic79C2311yescharacteristic
632D4×Dic79C2312yes—
633D4×Dic79C2312yes—
634D4×Dic79C2312yes—
635#14579123C2312yes—
636#14579123C2314yes—
637#14579123C2314yes—
638#14579123C2314yes—
639#14579123C2311yescharacteristic
640#14579123C2312yes—
641#14579123C2314yes—
642#14579123C2312yes—
643#14579123C2312yes—
644#14579123C2311yescharacteristic
645#14579123C2312yes—
646#14579123C2312yes—
647#14579123C2312yes—
648#14579123C2312yes—
649#14579123C2312yes—
650#14579123C2312yes—
651#14579123C2312yes—
652#14579123C2311yescharacteristic
653#14579123C2312yes—
654#14579123C2312yes—
655C4×C22⋊D79C2314yes—
656C4×C22⋊D79C2314yes—
657C4×C22⋊D79C2314yes—
658C4×C22⋊D79C2314yes—
659C4×C22⋊D79C2314yes—
660C4×C22⋊D79C2314yes—
661C4×C22⋊D79C2314yes—
662C4×C22⋊D79C2314yes—
663C4×C22⋊D79C2314yes—
664C4×C22⋊D79C2312yes—
665C4×C22⋊D79C2312yes—
666C4×C22⋊D79C2312yes—
667C4×C22⋊D79C2314yes—
668(C22⋊D79)⋊C4C2312yes—
669(C22⋊D79)⋊C4C2314yes—
670(C22⋊D79)⋊C4C2312yes—
671(C22⋊D79)⋊C4C2314yes—
672(C22⋊D79)⋊C4C2314yes—
673(C22⋊D79)⋊C4C2314yes—
674(C22⋊D79)⋊C4C2312yes—
675(C22⋊D79)⋊C4C2314yes—
676(C22⋊D79)⋊C4C2314yes—
677(C22⋊D79)⋊C4C2312yes—
678(C22⋊D79)⋊C4C2312yes—
679(C22⋊D79)⋊C4C2312yes—
680(C22⋊D79)⋊C4C2312yes—
681(C22⋊D79)⋊C4C2312yes—
682(C22⋊D79)⋊C4C2312yes—
683(C22⋊D79)⋊C4C2314yes—
684(C22⋊D79)⋊C4C2312yes—
685(C22⋊D79)⋊C4C2312yes—
686#14579120C2314yes—
687#14579119C2312yes—
688#14579119C2311yescharacteristic
689#14579119C2312yes—
690#14579119C2312yes—
691#14579119C2314yes—
692#14579119C2312yes—
693#14579119C2312yes—
694#14579119C2312yes—
695#14579119C2314yes—
696#14579119C2312yes—
697#14579119C2312yes—
698#14579119C2312yes—
699#14579119C2311yescharacteristic
700#14579119C2311yescharacteristic
701#14579119C2311yescharacteristic
702#14579118C2312yes—
703#14579118C2312yes—
704#14579118C2312yes—
705#14579118C2314yes—
706#14579118C2312yes—
707#14579118C2314yes—
708#14579118C2314yes—
709#14579117C2314yes—
710#14579117C2312yes—
711#14579117C2312yes—
712#14579117C2312yes—
713C2×Dic79⋊C4C2314yes—
714C4⋊C4×D79C2312yes—
715C4⋊C4×D79C2314yes—
716C4⋊C4×D79C2312yes—
717C4⋊C4×D79C2314yes—
718C4⋊C4×D79C2314yes—
719C4⋊C4×D79C2312yes—
720C4⋊C4×D79C2312yes—
721C2×(C2×D79)⋊C4C2314yes—
722C2×(C2×D79)⋊C4C2314yes—
723C2×(C2×D79)⋊C4C2314yes—
724C2×(C2×D79)⋊C4C2314yes—
725C2×(C2×D79)⋊C4C2314yes—
726C22⋊C4×D79C2314yes—
727C22⋊C4×D79C2314yes—
728C22⋊C4×D79C2314yes—
729C22⋊C4×D79C2314yes—
730C22⋊C4×D79C2314yes—
731C22⋊C4×D79C2314yes—
732C22⋊C4×D79C2314yes—
733C2×C4×Dic79C2311yescharacteristic
734C2×C4×Dic79C2311yescharacteristic
735C2×C4×Dic79C2311yescharacteristic
736C2×C4×Dic79C2312yes—
737C42×D79C2311yescharacteristic
738C42×D79C2311yescharacteristic
739C42×D79C2311yescharacteristic
740C42×D79C2311yescharacteristic
741C42×D79C2311yescharacteristic
742C42×D79C2311yescharacteristic
743C42×D79C2311yescharacteristic
744C42×D79C2311yescharacteristic
745C42×D79C2312yes—
746C42×D79C2312yes—
747C42×D79C2312yes—
748C2×#41×C79C2312yes—
749C2×#41×C79C2312yes—
750C22×Q8×C79C2312yes—
751C4⋊Q8×C79C2312yes—
752C4⋊Q8×C79C2311yescharacteristic
753C4⋊Q8×C79C2311yescharacteristic
754C4⋊Q8×C79C2312yes—
755C4⋊Q8×C79C2311yescharacteristic
756#127×C79C2312yes—
757#127×C79C2311yescharacteristic
758#126×C79C2312yes—
759#126×C79C2314yes—
760#125×C79C2312yes—
761#125×C79C2314yes—
762#125×C79C2312yes—
763#125×C79C2311yescharacteristic
764#124×C79C2314yes—
765#124×C79C2314yes—
766#124×C79C2312yes—
767#124×C79C2312yes—
768#124×C79C2311yescharacteristic
769#124×C79C2312yes—
770#123×C79C2314yes—
771#123×C79C2314yes—
772#123×C79C2314yes—
773#123×C79C2314yes—
774#123×C79C2314yes—
775#123×C79C2314yes—
776#123×C79C2312yes—
777C22⋊Q8×C79C2314yes—
778C22⋊Q8×C79C2312yes—
779C22⋊Q8×C79C2311yescharacteristic
780C22⋊Q8×C79C2314yes—
781C22⋊Q8×C79C2314yes—
782C22⋊Q8×C79C2314yes—
783C22⋊Q8×C79C2314yes—
784C22⋊Q8×C79C2311yescharacteristic
785C22⋊Q8×C79C2311yescharacteristic
786C22⋊Q8×C79C2312yes—
787#121×C79C2312yes—
788#121×C79C2314yes—
789#121×C79C2314yes—
790#121×C79C2314yes—
791#121×C79C2312yes—
792#121×C79C2311yescharacteristic
793#121×C79C2312yes—
794C4×Q8×C79C2311yescharacteristic
795C4×Q8×C79C2311yescharacteristic
796C4×Q8×C79C2311yescharacteristic
797C4×Q8×C79C2312yes—
798C4×Q8×C79C2312yes—
799C4×Q8×C79C2312yes—
800C4×D4×C79C2312yes—
801C4×D4×C79C2312yes—
802C4×D4×C79C2311yescharacteristic
803C4×D4×C79C2312yes—
804C4×D4×C79C2312yes—
805C4×D4×C79C2312yes—
806C4×D4×C79C2312yes—
807C4×D4×C79C2312yes—
808C4×D4×C79C2314yes—
809#117×C79C2312yes—
810#117×C79C2312yes—
811C2×C4⋊C4×C79C2314yes—
812C2×C42×C79C2311yescharacteristic
813C23×D79C2414yes—
814C23×D79C2411yescharacteristic
815C23×D79C2414yes—
816C23×D79C2414yes—
817#11929625—24no—
818#11929625—24no—
819#11929625—44no—
820#11929625—42no—
821#11929625—44no—
822#11929625—44no—
823#11929625—44no—
824#11929625—44no—
825#11929625—48no—
826#11929624—28no—
827#11929624—48no—
828#11929624—48no—
829#11929624—48no—
830#11929624—48no—
831#11929624—48no—
832#11929624—44no—
833#11929624—44no—
834#11929624—44no—
835#11929623—48no—
836#11929623—44no—
837#11929623—44no—
838#11929623—42no—
839#11929623—44no—
840C2×Dic158C2414yes—
841C2×Dic158C2412yes—
842C2×Dic158C2412yes—
843C2×Dic158C2411yescharacteristic
844C2×Dic158C2412yes—
845C2×Dic158C2414yes—
846C2×Dic158C2412yes—
847Q8×D79—28no—
848Q8×D79—44no—
849Q8×D79—48no—
850C2×D316—44no—
851C2×D316—48no—
852C2×D316C2412yes—
853C2×D316C2411yescharacteristic
854C2×D316C2412yes—
855C2×D316C2412yes—
856C2×D316C2412yes—
857C2×D316C2411yescharacteristic
858C2×D316C2412yes—
859C2×D316C2411yescharacteristic
860C2×D316C2414yes—
861C2×D316C2414yes—
862C2×D316C2412yes—
863C2×D316C2414yes—
864C2×D316C2414yes—
865C2×D316C2412yes—
866C2×D316C2412yes—
867C2×D316C2412yes—
868C2×D316C2414yes—
869C2×D316C2412yes—
870C2×D316C2414yes—
871C2×D316C2414yes—
872C2×D316C2412yes—
873C2×C22⋊D79C2414yes—
874C2×C22⋊D79C2412yes—
875C2×C22⋊D79C2412yes—
876C2×C22⋊D79C2412yes—
877C2×C22⋊D79C2414yes—
878C2×C22⋊D79C2414yes—
879C2×C22⋊D79C2414yes—
880C2×C22⋊D79C2412yes—
881C2×C22⋊D79C2412yes—
882C2×C22⋊D79C2414yes—
883C2×C22⋊D79C2414yes—
884C2×C22⋊D79C2412yes—
885C2×C22⋊D79C2412yes—
886C2×C22⋊D79C2414yes—
887C2×C22⋊D79C2414yes—
888C2×C22⋊D79C2414yes—
889C2×C22⋊D79C2414yes—
890C2×C22⋊D79C2414yes—
891D4×D79—28no—
892D4×D79—48no—
893D4×D79—48no—
894D4×D79—44no—
895D4×D79—48no—
896D4×D79—44no—
897D4×D79—44no—
898D4×D79—44no—
899D4×D79—44no—
900D4×D79—48no—
901C22×Dic79C2411yescharacteristic
902C22×Dic79C2411yescharacteristic
903C22×Dic79C2414yes—
904C22×Dic79C2412yes—
905C22×Dic79C2412yes—
906C22×Dic79C2414yes—
907C22×Dic79C2411yescharacteristic
908C2×C4×D79—24no—
909C2×C4×D79—42no—
910C2×C4×D79—48no—
911C2×C4×D79—42no—
912C2×C4×D79C2412yes—
913C2×C4×D79C2412yes—
914C2×C4×D79C2414yes—
915C2×C4×D79C2411yescharacteristic
916C2×C4×D79C2412yes—
917C2×C4×D79C2411yescharacteristic
918C2×C4×D79C2411yescharacteristic
919C2×C4×D79C2412yes—
920C2×C4×D79C2412yes—
921C2×C4×D79C2412yes—
922C2×C4×D79C2411yescharacteristic
923C2×C4×D79C2412yes—
924C2×C4×D79C2411yescharacteristic
925C2×C4×D79C2411yescharacteristic
926C2×C4×D79C2411yescharacteristic
927C2×C4×D79C2414yes—
928C2×C4×D79C2414yes—
929C2×C4×D79C2414yes—
930C2×C4×D79C2414yes—
931C2×C4×D79C2412yes—
932C2×C4×D79C2414yes—
933C2×C4×D79C2414yes—
934C2×C4×D79C2414yes—
935C2×C4×D79C2412yes—
936C2×C4×D79C2414yes—
937C2×C4×D79C2411yescharacteristic
938C2×C4×D79C2411yescharacteristic
939C2×C4×D79C2411yescharacteristic
940C2×C4×D79C2411yescharacteristic
941C2×C4×D79C2411yescharacteristic
942C4⋊Dic79C2412yes—
943C4⋊Dic79C2411yescharacteristic
944C4⋊Dic79C2412yes—
945C4⋊Dic79C2414yes—
946C4⋊Dic79C2412yes—
947C4⋊Dic79C2412yes—
948C4⋊Dic79C2411yescharacteristic
949C4⋊Dic79C2411yescharacteristic
950C4⋊Dic79C2412yes—
951C4⋊Dic79C2412yes—
952C4⋊Dic79C2411yescharacteristic
953C4⋊Dic79C2412yes—
954C4⋊Dic79C2412yes—
955C4⋊Dic79C2412yes—
956C4⋊Dic79C2414yes—
957Dic79⋊C4C2412yes—
958Dic79⋊C4C2412yes—
959Dic79⋊C4C2412yes—
960Dic79⋊C4C2414yes—
961Dic79⋊C4C2414yes—
962Dic79⋊C4C2414yes—
963Dic79⋊C4C2414yes—
964Dic79⋊C4C2414yes—
965Dic79⋊C4C2412yes—
966Dic79⋊C4C2414yes—
967Dic79⋊C4C2412yes—
968Dic79⋊C4C2412yes—
969Dic79⋊C4C2412yes—
970Dic79⋊C4C2412yes—
971Dic79⋊C4C2412yes—
972Dic79⋊C4C2412yes—
973Dic79⋊C4C2412yes—
974Dic79⋊C4C2412yes—
975Dic79⋊C4C2412yes—
976Dic79⋊C4C2412yes—
977Dic79⋊C4C2414yes—
978Dic79⋊C4C2414yes—
979C22⋊Dic79C2414yes—
980C22⋊Dic79C2412yes—
981C22⋊Dic79C2414yes—
982C22⋊Dic79C2414yes—
983C22⋊Dic79C2414yes—
984C22⋊Dic79C2412yes—
985C22⋊Dic79C2412yes—
986C22⋊Dic79C2414yes—
987(C2×D79)⋊C4C2412yes—
988(C2×D79)⋊C4C2412yes—
989(C2×D79)⋊C4C2412yes—
990(C2×D79)⋊C4C2412yes—
991(C2×D79)⋊C4C2412yes—
992(C2×D79)⋊C4C2412yes—
993(C2×D79)⋊C4C2414yes—
994(C2×D79)⋊C4C2414yes—
995(C2×D79)⋊C4C2414yes—
996(C2×D79)⋊C4C2414yes—
997(C2×D79)⋊C4C2414yes—
998(C2×D79)⋊C4C2414yes—
999(C2×D79)⋊C4C2414yes—
1000(C2×D79)⋊C4C2412yes—
1001(C2×D79)⋊C4C2414yes—
1002(C2×D79)⋊C4C2412yes—
1003(C2×D79)⋊C4C2412yes—
1004(C2×D79)⋊C4C2414yes—
1005(C2×D79)⋊C4C2414yes—
1006(C2×D79)⋊C4C2414yes—
1007(C2×D79)⋊C4C2414yes—
1008(C2×D79)⋊C4C2414yes—
1009(C2×D79)⋊C4C2414yes—
1010(C2×D79)⋊C4C2412yes—
1011(C2×D79)⋊C4C2412yes—
1012(C2×D79)⋊C4C2412yes—
1013(C2×D79)⋊C4C2412yes—
1014(C2×D79)⋊C4C2412yes—
1015(C2×D79)⋊C4C2414yes—
1016(C2×D79)⋊C4C2412yes—
1017(C2×D79)⋊C4C2412yes—
1018(C2×D79)⋊C4C2412yes—
1019(C2×D79)⋊C4C2412yes—
1020(C2×D79)⋊C4C2414yes—
1021(C2×D79)⋊C4C2412yes—
1022(C2×D79)⋊C4C2412yes—
1023(C2×D79)⋊C4C2412yes—
1024(C2×D79)⋊C4C2412yes—
1025(C2×D79)⋊C4C2412yes—
1026(C2×D79)⋊C4C2412yes—
1027(C2×D79)⋊C4C2412yes—
1028(C2×D79)⋊C4C2412yes—
1029C4×Dic79C2411yescharacteristic
1030C4×Dic79C2411yescharacteristic
1031C4×Dic79C2411yescharacteristic
1032C4×Dic79C2411yescharacteristic
1033C4×Dic79C2411yescharacteristic
1034C4×Dic79C2411yescharacteristic
1035C4×Dic79C2411yescharacteristic
1036C4×Dic79C2411yescharacteristic
1037C4×Dic79C2411yescharacteristic
1038C4×Dic79C2411yescharacteristic
1039C4×Dic79C2411yescharacteristic
1040C4×Dic79C2411yescharacteristic
1041C4×Dic79C2412yes—
1042C4×Dic79C2412yes—
1043C4×Dic79C2412yes—
1044C4×Dic79C2412yes—
1045C4×Dic79C2412yes—
1046C4×Dic79C2412yes—
1047C4×Dic79C2412yes—
1048C4×Dic79C2412yes—
1049C4×Dic79C2412yes—
1050C4×Dic79C2414yes—
1051C4×Dic79C2414yes—
1052C4×Dic79C2414yes—
1053#41×C79—44no—
1054#41×C79—44no—
1055C2×Q8×C79—44no—
1056C2×Q8×C79C2411yescharacteristic
1057C2×Q8×C79C2412yes—
1058C2×Q8×C79C2411yescharacteristic
1059C2×Q8×C79C2411yescharacteristic
1060C2×Q8×C79C2414yes—
1061C2×Q8×C79C2412yes—
1062C2×D4×C79C2412yes—
1063C2×D4×C79C2411yescharacteristic
1064C2×D4×C79C2412yes—
1065C2×D4×C79C2412yes—
1066C2×D4×C79C2414yes—
1067C2×D4×C79C2412yes—
1068C2×D4×C79C2414yes—
1069C2×D4×C79C2414yes—
1070C22×C4×C79C2411yescharacteristic
1071C22×C4×C79C2411yescharacteristic
1072C22×C4×C79C2412yes—
1073C22×C4×C79C2414yes—
1074C22×C4×C79C2414yes—
1075C22×C4×C79C2414yes—
1076C22×C4×C79C2414yes—
1077C22×C4×C79C2411yescharacteristic
1078C4⋊C4×C79C2412yes—
1079C4⋊C4×C79C2412yes—
1080C4⋊C4×C79C2414yes—
1081C4⋊C4×C79C2414yes—
1082C4⋊C4×C79C2412yes—
1083C4⋊C4×C79C2412yes—
1084C4⋊C4×C79C2412yes—
1085C4⋊C4×C79C2412yes—
1086C4⋊C4×C79C2411yescharacteristic
1087C4⋊C4×C79C2411yescharacteristic
1088C4⋊C4×C79C2412yes—
1089C4⋊C4×C79C2412yes—
1090C4⋊C4×C79C2411yescharacteristic
1091C4⋊C4×C79C2412yes—
1092C4⋊C4×C79C2411yescharacteristic
1093C4⋊C4×C79C2412yes—
1094C4⋊C4×C79C2414yes—
1095C4⋊C4×C79C2412yes—
1096C4⋊C4×C79C2412yes—
1097C4⋊C4×C79C2414yes—
1098C4⋊C4×C79C2412yes—
1099C22⋊C4×C79C2412yes—
1100C22⋊C4×C79C2412yes—
1101C22⋊C4×C79C2412yes—
1102C22⋊C4×C79C2412yes—
1103C22⋊C4×C79C2412yes—
1104C22⋊C4×C79C2412yes—
1105C22⋊C4×C79C2414yes—
1106C22⋊C4×C79C2414yes—
1107C22⋊C4×C79C2414yes—
1108C22⋊C4×C79C2414yes—
1109C22⋊C4×C79C2414yes—
1110C22⋊C4×C79C2412yes—
1111C22⋊C4×C79C2414yes—
1112C22⋊C4×C79C2414yes—
1113C42×C79C2411yescharacteristic
1114C42×C79C2411yescharacteristic
1115C42×C79C2411yescharacteristic
1116C42×C79C2411yescharacteristic
1117C42×C79C2412yes—
1118C42×C79C2412yes—
1119C42×C79C2412yes—
1120C42×C79C2414yes—
1121C23×C79C2512yes—
1122C23×C79C2514yes—
1123C23×C79C2511yescharacteristic
1124C22×D79—22no—
1125C22×D79—28no—
1126C22×D79—41no—
1127C22×D79—41no—
1128C22×D79—44no—
1129C22×D79—44no—
1130C22×D79—44no—
1131C22×D79—44no—
1132C22×D79—44no—
1133C22×D79—44no—
1134C22×D79—44no—
1135C22×D79—44no—
1136C22×D79C2512yes—
1137C22×D79C2514yes—
1138C22×D79C2512yes—
1139C22×D79C2511yescharacteristic
1140C22×D79C2512yes—
1141C22×D79C2511yescharacteristic
1142Q8×C79—24no—
1143Q8×C79—22no—
1144Q8×C79—22no—
1145Q8×C79—22no—
1146Q8×C79—44no—
1147Q8×C79—42no—
1148D4×C79—24no—
1149D4×C79—24no—
1150D4×C79—22no—
1151D4×C79—44no—
1152D4×C79—44no—
1153D4×C79—42no—
1154D4×C79—44no—
1155D4×C79—42no—
1156C2×C4×C79—22no—
1157C2×C4×C79—24no—
1158C2×C4×C79—22no—
1159C2×C4×C79—44no—
1160C2×C4×C79—41no—
1161C2×C4×C79—44no—
1162C2×C4×C79—44no—
1163C2×C4×C79—44no—
1164C2×C4×C79C2512yes—
1165C2×C4×C79C2512yes—
1166C2×C4×C79C2511yescharacteristic
1167C2×C4×C79C2511yescharacteristic
1168C2×C4×C79C2511yescharacteristic
1169C2×C4×C79C2511yescharacteristic
1170C2×C4×C79C2512yes—
1171C2×C4×C79C2512yes—
1172C2×C4×C79C2512yes—
1173C2×C4×C79C2514yes—
1174C2×C4×C79C2512yes—
1175C2×C4×C79C2512yes—
1176C2×C4×C79C2511yescharacteristic
1177C2×C4×C79C2511yescharacteristic
1178C22⋊D79—24no—
1179C22⋊D79—28no—
1180C22⋊D79—24no—
1181C22⋊D79—24no—
1182C22⋊D79—28no—
1183C22⋊D79—44no—
1184C22⋊D79—44no—
1185C22⋊D79—44no—
1186C22⋊D79—44no—
1187C22⋊D79—44no—
1188C22⋊D79—44no—
1189C22⋊D79—42no—
1190C22⋊D79—44no—
1191C22⋊D79—42no—
1192C22⋊D79—42no—
1193C22⋊D79—44no—
1194C22⋊D79—42no—
1195C22⋊D79—44no—
1196C2×Dic79—22no—
1197C2×Dic79—22no—
1198C2×Dic79—41no—
1199C2×Dic79—44no—
1200C2×Dic79—42no—
1201C2×Dic79—44no—
1202C2×Dic79—42no—
1203C2×Dic79C2511yescharacteristic
1204C2×Dic79C2511yescharacteristic
1205C2×Dic79C2512yes—
1206C2×Dic79C2512yes—
1207C2×Dic79C2512yes—
1208C2×Dic79C2511yescharacteristic
1209C2×Dic79C2511yescharacteristic
1210C2×Dic79C2512yes—
1211C2×Dic79C2514yes—
1212C2×Dic79C2512yes—
1213C2×Dic79C2511yescharacteristic
1214C2×Dic79C2511yescharacteristic
1215D316—24no—
1216D316—24no—
1217D316—24no—
1218D316—24no—
1219D316—22no—
1220D316—22no—
1221D316—24no—
1222D316—22no—
1223D316—44no—
1224D316—42no—
1225D316—44no—
1226D316—44no—
1227D316—44no—
1228D316—42no—
1229D316—44no—
1230D316—44no—
1231D316—42no—
1232D316—42no—
1233D316—42no—
1234D316—44no—
1235D316—42no—
1236C4×D79—22no—
1237C4×D79—28no—
1238C4×D79—22no—
1239C4×D79—24no—
1240C4×D79—22no—
1241C4×D79—22no—
1242C4×D79—24no—
1243C4×D79—24no—
1244C4×D79—22no—
1245C4×D79—24no—
1246C4×D79—24no—
1247C4×D79—22no—
1248C4×D79—22no—
1249C4×D79—24no—
1250C4×D79—24no—
1251C4×D79—41no—
1252C4×D79—41no—
1253C4×D79—41no—
1254C4×D79—41no—
1255C4×D79—44no—
1256C4×D79—44no—
1257C4×D79—44no—
1258C4×D79—44no—
1259C4×D79—44no—
1260C4×D79—44no—
1261C4×D79—42no—
1262C4×D79—44no—
1263C4×D79—44no—
1264C4×D79—42no—
1265C4×D79H(5,𝔽2)14yes—
1266Dic158—24no—
1267Dic158—22no—
1268Dic158—28no—
1269Dic158—24no—
1270Dic158—24no—
1271Dic158—44no—
1272Dic158—42no—
1273C22×C79—22no—
1274C22×C79—24no—
1275C22×C79—21no—
1276C22×C79—24no—
1277C22×C79—22no—
1278C22×C79—21no—
1279C22×C79—24no—
1280C22×C79—22no—
1281C22×C79—21no—
1282C22×C79C2611yescharacteristic
1283C2×D79—21no—
1284C2×D79—21no—
1285C2×D79—24no—
1286C2×D79—22no—
1287C2×D79—21no—
1288C2×D79—22no—
1289C2×D79—22no—
1290C2×D79—22no—
1291C2×D79—24no—
1292C2×D79—22no—
1293C2×D79—24no—
1294C2×D79—22no—
1295C2×D79—21no—
1296C2×D79—22no—
1297C2×D79—22no—
1298C2×D79—22no—
1299C2×D79—21no—
1300C2×D79—44no—
1301C2×D79—88no—
1302C2×D79—164no—
1303C2×D79—164no—
1304C2×D79C2×H(5,𝔽2)12yes—
1305C4×C79—21no—
1306C4×C79—22no—
1307C4×C79—22no—
1308C4×C79—24no—
1309C4×C79—22no—
1310C4×C79—21no—
1311C4×C79—22no—
1312C4×C79—22no—
1313C4×C79—21no—
1314C4×C79—21no—
1315C4×C79—22no—
1316C4×C79—22no—
1317C4×C79C2×H(5,𝔽2)12yes—
1318C4×C79#58512yes—
1319Dic79—22no—
1320Dic79—24no—
1321Dic79—21no—
1322Dic79—22no—
1323Dic79—21no—
1324Dic79—22no—
1325Dic79—22no—
1326Dic79—22no—
1327Dic79—21no—
1328Dic79—21no—
1329Dic79C2×H(5,𝔽2)12yes—
1330Dic79#58512yes—
1331#62836—791nomaximal, Sylow
1332C2×C79—41no—
1333C2×C79—44no—
1334C2×C79—42no—
1335C2×C79C22×H(5,𝔽2)11yescharacteristic
1336C2×C79C2×#58511yescharacteristic
1337C2×C79C2×#58511yescharacteristic
1338D79—22no—
1339D79—42no—
1340D79—41no—
1341D79—44no—
1342D79—42no—
1343D79—42no—
1344#3562—794no—
1345#3562—794no—
1346#3554—792no—
1347#3554—791no—
1348#3554D7911yescharacteristic, complemented
1349#3546—792no—
1350#3546—791no—
1351#3546—791no—
1352#3542—794no—
1353#3542—792no—
1354#3542—792no—
1355#3517—791no—
1356#3517—791no—
1357#3517—792no—
1358#3514—791no—
1359#3514—791no—
1360#3514—792no—
1361#3513—792no—
1362#3513—792no—
1363#3513—794no—
1364#3511—792no—
1365#3511—792no—
1366#3510—792no—
1367#3509—791no—
1368#3508—791no—
1369#3508—792no—
1370#3508—792no—
1371#3500—792no—
1372#3499—791no—
1373#3498—791no—
1374#3487—792no—
1375#3485—792no—
1376#3444—791no—
1377#3444—791no—
1378C2×#532—791no—
1379C79#6283611yescharacteristic, complemented, Sylow
1380C2×2−1+4—792no—
1381C2×H(5,𝔽2)—792no—
1382C22×#41—792no—
1383#562—794no—
1384#562—794no—
1385#562—794no—
1386#562C2×D7914yescomplemented
1387#560—794no—
1388#560—794no—
1389#560—794no—
1390#560—794no—
1391#559—794no—
1392#559—792no—
1393#559—794no—
1394#559—794no—
1395#559—792no—
1396#559—791no—
1397#559C2×D7912yescomplemented
1398#559C2×D7911yescharacteristic, complemented
1399#557—792no—
1400#557—791no—
1401#557C2×D7911yescharacteristic, complemented
1402#556—791no—
1403#556—794no—
1404#556—794no—
1405#556—792no—
1406#556—791no—
1407#555—792no—
1408#555—794no—
1409#555—792no—
1410#554—794no—
1411#554—792no—
1412#554C2×D7912yescomplemented
1413#553—794no—
1414#553—792no—
1415#553—792no—
1416#553—794no—
1417#553—794no—
1418#553—794no—
1419#553—794no—
1420#553—792no—
1421#553—792no—
1422#553—794no—
1423#552—794no—
1424#552—792no—
1425#552—792no—
1426#551—794no—
1427#551—794no—
1428#551—794no—
1429#551—794no—
1430#551—794no—
1431#551—794no—
1432#551—794no—
1433#551—794no—
1434#550—792no—
1435#550—792no—
1436#550—792no—
1437#550—791no—
1438#550—794no—
1439#550—792no—
1440#550—794no—
1441#550—792no—
1442#550—791no—
1443#550—792no—
1444#550—791no—
1445#550—794no—
1446#550—792no—
1447#550—792no—
1448#550C2×D7911yescharacteristic, complemented
1449D4×Q8—792no—
1450D4×Q8—791no—
1451D4×Q8C2×D7911yescharacteristic, complemented
1452#548—792no—
1453#548—794no—
1454#548—792no—
1455#548—794no—
1456#548—792no—
1457#548—794no—
1458#548—794no—
1459#548C2×D7912yescomplemented
1460#547—792no—
1461#547—792no—
1462#547—792no—
1463#547—791no—
1464#547—794no—
1465#547—792no—
1466#547—794no—
1467#547—792no—
1468#547—792no—
1469#547—791no—
1470#547—794no—
1471#547C2×D7912yescomplemented
1472#546—792no—
1473#546—792no—
1474#546—792no—
1475#546—792no—
1476#546—794no—
1477#546—794no—
1478#546—794no—
1479#546—794no—
1480#546—794no—
1481#546—794no—
1482#546—794no—
1483#546—792no—
1484#546—794no—
1485#546—794no—
1486#546—794no—
1487#546—794no—
1488#546—792no—
1489#546—792no—
1490#546—792no—
1491#546—792no—
1492#546—792no—
1493D42—792no—
1494D42—791no—
1495D42—794no—
1496D42—792no—
1497D42—792no—
1498D42—791no—
1499#542—792no—
1500#542—792no—
1501#542—792no—
1502#542—792no—
1503#542—794no—
1504#542—794no—
1505#542—792no—
1506#542—792no—
1507#542C2×D7912yescomplemented
1508#542C2×D7912yescomplemented
1509#541—794no—
1510#540—792no—
1511#540—792no—
1512#540—794no—
1513#540—794no—
1514#540—794no—
1515#540—794no—
1516#540—794no—
1517#540—794no—
1518#540—794no—
1519#540—792no—
1520#540C2×D7912yescomplemented
1521#539—794no—
1522#539—794no—
1523#539—794no—
1524#539C2×D7914yescomplemented
1525#538—794no—
1526#538—794no—
1527#538—794no—
1528#538—794no—
1529#538—794no—
1530#538—794no—
1531#538—794no—
1532#538—794no—
1533#537—792no—
1534#537—794no—
1535#537—792no—
1536#536—792no—
1537#536—792no—
1538#536—792no—
1539#536—794no—
1540#536C2×D7912yescomplemented
1541#535—792no—
1542#535—794no—
1543#535—792no—
1544#535—794no—
1545#535—792no—
1546#535—794no—
1547#535—794no—
1548#535—792no—
1549#535—792no—
1550#535—792no—
1551#534—794no—
1552#534—794no—
1553#533—791no—
1554#533—791no—
1555#533—791no—
1556#533—792no—
1557#533—791no—
1558#533—791no—
1559#533—792no—
1560#533C2×D7911yescharacteristic, complemented
1561#532—792no—
1562#532—792no—
1563#532—791no—
1564#532—791no—
1565#532—791no—
1566#532—792no—
1567#532—791no—
1568#532—792no—
1569#532—791no—
1570#532—792no—
1571#532—792no—
1572#532—792no—
1573#532—791no—
1574#532—792no—
1575#532—792no—
1576#532—791no—
1577#532—792no—
1578#532—792no—
1579#532—792no—
1580#532—791no—
1581#532—791no—
1582#532C2×D7911yescharacteristic, complemented
1583C2×C4⋊Q8—791no—
1584C2×C4⋊Q8—792no—
1585C2×#127—791no—
1586C2×#127—792no—
1587#529—792no—
1588#529—792no—
1589#529—792no—
1590#529—791no—
1591#529—792no—
1592#529—791no—
1593#529—792no—
1594#529—791no—
1595#529—791no—
1596#529—792no—
1597#529—792no—
1598#529—792no—
1599#529—792no—
1600#529—791no—
1601#529—791no—
1602#529—792no—
1603#529—792no—
1604#529—792no—
1605#529—791no—
1606#529C2×D7911yescharacteristic, complemented
1607C2×#124—792no—
1608C2×#124—792no—
1609C2×#124—792no—
1610#525—792no—
1611#525—791no—
1612#525—791no—
1613#525—792no—
1614#525—791no—
1615#525—794no—
1616#525—791no—
1617#525—792no—
1618#525—794no—
1619#525—792no—
1620C2×#123—794no—
1621C2×#123—794no—
1622C2×#121—792no—
1623C2×#121—792no—
1624#520—792no—
1625#520—792no—
1626#520—794no—
1627#519—792no—
1628#518—792no—
1629#518—792no—
1630#518—794no—
1631#518—792no—
1632C4×#41—791no—
1633C4×#41—791no—
1634C4×#41—792no—
1635C4×#41—791no—
1636C4×#41—791no—
1637C4×#41—792no—
1638C4×#41—792no—
1639C4×#41—792no—
1640C2×C4×D4—792no—
1641C2×C4×D4—792no—
1642C22×C42—791no—
16432−1+4—3168no—
1644H(5,𝔽2)—3168no—
1645C2×#41—3168no—
1646C2×#41—792no—
1647C2×#41—791no—
1648C2×#41—792no—
1649C2×#41—794no—
1650C2×#41—792no—
1651C2×#41—792no—
1652C2×#41—792no—
1653C2×#41—791no—
1654C2×#41—791no—
1655C2×#41—791no—
1656C2×#41—792no—
1657C2×#41—792no—
1658C2×#41—792no—
1659C2×#41—794no—
1660C2×#41—792no—
1661C2×#41—794no—
1662C2×#41—794no—
1663C2×#41—792no—
1664C2×#41—794no—
1665C2×#41—794no—
1666C2×#41—792no—
1667C2×#41—794no—
1668C2×#41—792no—
1669C2×#41C22×D7912yes—
1670C2×#41C22×D7912yes—
1671C22×Q8—792no—
1672C22×Q8—794no—
1673C22×Q8—792no—
1674C22×Q8C22×D7912yes—
1675C22×D4—792no—
1676C22×D4—792no—
1677C22×D4—792no—
1678C22×D4—792no—
1679C22×D4—794no—
1680C22×D4—794no—
1681C22×D4—794no—
1682C22×D4—792no—
1683C22×D4—794no—
1684C22×D4—792no—
1685C22×D4—794no—
1686C22×D4—792no—
1687C23×C4—794no—
1688C23×C4—791no—
1689C23×C4—791no—
1690C23×C4—791no—
1691C4⋊Q8—792no—
1692C4⋊Q8—794no—
1693C4⋊Q8—791no—
1694C4⋊Q8—792no—
1695C4⋊Q8—792no—
1696C4⋊Q8—791no—
1697C4⋊Q8—792no—
1698C4⋊Q8—794no—
1699C4⋊Q8—791no—
1700C4⋊Q8—791no—
1701C4⋊Q8—792no—
1702C4⋊Q8—791no—
1703C4⋊Q8C22×D7911yescharacteristic
1704C4⋊Q8C22×D7912yes—
1705C4⋊Q8C22×D7911yescharacteristic
1706C4⋊Q8C22×D7911yescharacteristic
1707C4⋊Q8C22×D7912yes—
1708#127—792no—
1709#127—791no—
1710#127—792no—
1711#127—792no—
1712#127—794no—
1713#127—794no—
1714#127—792no—
1715#127—794no—
1716#127—794no—
1717#127—794no—
1718#127—791no—
1719#127—792no—
1720#127—791no—
1721#127—792no—
1722#127—794no—
1723#127C22×D7911yescharacteristic
1724#127C22×D7912yes—
1725#126—792no—
1726#126—792no—
1727#126—792no—
1728#126—792no—
1729#126—792no—
1730#126—794no—
1731#126—794no—
1732#126—794no—
1733#126—794no—
1734#126—794no—
1735#126—794no—
1736#126—794no—
1737#126—792no—
1738#126—794no—
1739#126—794no—
1740#126—794no—
1741#126—792no—
1742#126—794no—
1743#126C22×D7912yes—
1744#126C22×D7914yes—
1745#125—791no—
1746#125—791no—
1747#125—792no—
1748#125—792no—
1749#125—792no—
1750#125—794no—
1751#125—794no—
1752#125—794no—
1753#125—794no—
1754#125—791no—
1755#125—792no—
1756#125C22×D7912yes—
1757#125C22×D7911yescharacteristic
1758#125C22×D7912yes—
1759#125C22×D7914yes—
1760#124—791no—
1761#124—792no—
1762#124—792no—
1763#124—792no—
1764#124—794no—
1765#124—794no—
1766#124—791no—
1767#124—792no—
1768#124—794no—
1769#124—794no—
1770#124—792no—
1771#124—794no—
1772#124—794no—
1773#124—794no—
1774#124—794no—
1775#124—792no—
1776#124—792no—
1777#124—794no—
1778#124—794no—
1779#124—794no—
1780#124—794no—
1781#124—794no—
1782#124—794no—
1783#124—794no—
1784#124—792no—
1785#124—792no—
1786#124—792no—
1787#124—791no—
1788#124—792no—
1789#124C22×D7912yes—
1790#124C22×D7912yes—
1791#124C22×D7911yescharacteristic
1792#124C22×D7912yes—
1793#124C22×D7914yes—
1794#124C22×D7914yes—
1795#123—794no—
1796#123—794no—
1797#123—794no—
1798#123—792no—
1799#123—794no—
1800#123—792no—
1801#123—792no—
1802#123—794no—
1803#123—794no—
1804#123—794no—
1805#123—794no—
1806#123—794no—
1807#123—794no—
1808#123—794no—
1809#123—792no—
1810#123—792no—
1811#123—792no—
1812#123—792no—
1813#123—794no—
1814#123—794no—
1815#123—794no—
1816#123—794no—
1817#123—794no—
1818#123—794no—
1819#123—794no—
1820#123—794no—
1821#123—792no—
1822#123—794no—
1823#123—794no—
1824#123—792no—
1825#123—792no—
1826#123—792no—
1827#123—794no—
1828#123—794no—
1829#123—794no—
1830#123—794no—
1831#123—794no—
1832#123—794no—
1833#123—794no—
1834#123—794no—
1835#123—794no—
1836#123C22×D7914yes—
1837#123C22×D7912yes—
1838#123C22×D7914yes—
1839#123C22×D7914yes—
1840#123C22×D7914yes—
1841#123C22×D7914yes—
1842#123C22×D7914yes—
1843C22⋊Q8—791no—
1844C22⋊Q8—791no—
1845C22⋊Q8—791no—
1846C22⋊Q8—792no—
1847C22⋊Q8—794no—
1848C22⋊Q8—792no—
1849C22⋊Q8—792no—
1850C22⋊Q8—794no—
1851C22⋊Q8—794no—
1852C22⋊Q8—791no—
1853C22⋊Q8—792no—
1854C22⋊Q8—794no—
1855C22⋊Q8—792no—
1856C22⋊Q8—792no—
1857C22⋊Q8—791no—
1858C22⋊Q8—792no—
1859C22⋊Q8—792no—
1860C22⋊Q8—792no—
1861C22⋊Q8—794no—
1862C22⋊Q8—792no—
1863C22⋊Q8—794no—
1864C22⋊Q8—794no—
1865C22⋊Q8—794no—
1866C22⋊Q8—792no—
1867C22⋊Q8—794no—
1868C22⋊Q8—794no—
1869C22⋊Q8—794no—
1870C22⋊Q8—794no—
1871C22⋊Q8—792no—
1872C22⋊Q8—794no—
1873C22⋊Q8—794no—
1874C22⋊Q8C22×D7911yescharacteristic
1875C22⋊Q8C22×D7911yescharacteristic
1876C22⋊Q8C22×D7912yes—
1877C22⋊Q8C22×D7911yescharacteristic
1878C22⋊Q8C22×D7914yes—
1879C22⋊Q8C22×D7912yes—
1880C22⋊Q8C22×D7914yes—
1881C22⋊Q8C22×D7914yes—
1882C22⋊Q8C22×D7914yes—
1883C22⋊Q8C22×D7914yes—
1884#121—792no—
1885#121—794no—
1886#121—792no—
1887#121—794no—
1888#121—791no—
1889#121—792no—
1890#121—794no—
1891#121—792no—
1892#121—792no—
1893#121—792no—
1894#121—792no—
1895#121—794no—
1896#121—794no—
1897#121—794no—
1898#121—794no—
1899#121—794no—
1900#121—794no—
1901#121—794no—
1902#121—792no—
1903#121—792no—
1904#121—791no—
1905#121—791no—
1906#121—791no—
1907#121—792no—
1908#121—794no—
1909#121—792no—
1910#121—794no—
1911#121—794no—
1912#121—794no—
1913#121—794no—
1914#121—792no—
1915#121—792no—
1916#121—791no—
1917#121—791no—
1918#121—792no—
1919#121—792no—
1920#121—791no—
1921#121—792no—
1922#121—794no—
1923#121—792no—
1924#121—792no—
1925#121—792no—
1926#121—792no—
1927#121—794no—
1928#121—794no—
1929#121—794no—
1930#121—794no—
1931#121—794no—
1932#121—794no—
1933#121—794no—
1934#121—794no—
1935#121—794no—
1936#121—794no—
1937#121—794no—
1938#121—792no—
1939#121—792no—
1940#121—792no—
1941#121—794no—
1942#121—794no—
1943#121—794no—
1944#121—794no—
1945#121—794no—
1946#121—794no—
1947#121—794no—
1948#121—794no—
1949#121—794no—
1950#121—794no—
1951#121—794no—
1952#121—794no—
1953#121—794no—
1954#121—794no—
1955#121—794no—
1956#121C22×D7912yes—
1957#121C22×D7912yes—
1958#121C22×D7911yescharacteristic
1959#121C22×D7912yes—
1960#121C22×D7914yes—
1961#121C22×D7914yes—
1962#121C22×D7914yes—
1963#120—792no—
1964#120—794no—
1965#120—794no—
1966#120—794no—
1967#120—794no—
1968#120—794no—
1969#120—792no—
1970#120—792no—
1971#120—792no—
1972#120—794no—
1973#120—794no—
1974#120—794no—
1975#120—794no—
1976#120—794no—
1977#120—794no—
1978#120—794no—
1979#120—794no—
1980#120—794no—
1981#120—794no—
1982#120—794no—
1983C4×Q8—791no—
1984C4×Q8—791no—
1985C4×Q8—791no—
1986C4×Q8—792no—
1987C4×Q8—792no—
1988C4×Q8—792no—
1989C4×Q8—791no—
1990C4×Q8—792no—
1991C4×Q8—792no—
1992C4×Q8—792no—
1993C4×Q8—792no—
1994C4×Q8—792no—
1995C4×Q8—794no—
1996C4×Q8—794no—
1997C4×Q8—792no—
1998C4×Q8—791no—
1999C4×Q8—792no—
2000C4×Q8—794no—
2001C4×Q8—792no—
2002C4×Q8C22×D7911yescharacteristic
2003C4×Q8C22×D7911yescharacteristic
2004C4×Q8C22×D7912yes—
2005C4×Q8C22×D7911yescharacteristic
2006C4×Q8C22×D7912yes—
2007C4×Q8C22×D7912yes—
2008C4×D4—792no—
2009C4×D4—792no—
2010C4×D4—791no—
2011C4×D4—792no—
2012C4×D4—794no—
2013C4×D4—792no—
2014C4×D4—794no—
2015C4×D4—794no—
2016C4×D4—792no—
2017C4×D4—792no—
2018C4×D4—792no—
2019C4×D4—794no—
2020C4×D4—794no—
2021C4×D4—794no—
2022C4×D4—794no—
2023C4×D4—794no—
2024C4×D4—794no—
2025C4×D4—794no—
2026C4×D4—794no—
2027C4×D4—792no—
2028C4×D4—792no—
2029C4×D4—791no—
2030C4×D4—792no—
2031C4×D4—792no—
2032C4×D4—792no—
2033C4×D4—792no—
2034C4×D4—792no—
2035C4×D4—792no—
2036C4×D4—792no—
2037C4×D4—791no—
2038C4×D4—792no—
2039C4×D4—792no—
2040C4×D4—792no—
2041C4×D4—791no—
2042C4×D4—794no—
2043C4×D4—792no—
2044C4×D4—794no—
2045C4×D4—794no—
2046C4×D4—794no—
2047C4×D4—794no—
2048C4×D4—794no—
2049C4×D4—792no—
2050C4×D4—792no—
2051C4×D4—792no—
2052C4×D4—792no—
2053C4×D4—792no—
2054C4×D4—792no—
2055C4×D4—792no—
2056C4×D4—792no—
2057C4×D4—792no—
2058C4×D4—792no—
2059C4×D4—792no—
2060C4×D4—794no—
2061C4×D4—794no—
2062C4×D4—794no—
2063C4×D4—794no—
2064C4×D4—794no—
2065C4×D4—792no—
2066C4×D4—792no—
2067C4×D4—792no—
2068C4×D4—792no—
2069C4×D4—792no—
2070C4×D4—792no—
2071C4×D4—792no—
2072C4×D4—791no—
2073C4×D4—791no—
2074C4×D4—792no—
2075C4×D4—791no—
2076C4×D4—794no—
2077C4×D4—792no—
2078C4×D4—792no—
2079C4×D4—792no—
2080C4×D4—794no—
2081C4×D4—792no—
2082C4×D4C22×D7912yes—
2083C4×D4C22×D7912yes—
2084C4×D4C22×D7912yes—
2085C4×D4C22×D7911yescharacteristic
2086C4×D4C22×D7914yes—
2087C4×D4C22×D7912yes—
2088C4×D4C22×D7912yes—
2089C4×D4C22×D7912yes—
2090C4×D4C22×D7912yes—
2091#117—794no—
2092#117—791no—
2093#117—792no—
2094#117—791no—
2095#117—792no—
2096#117—792no—
2097#117—791no—
2098#117—791no—
2099#117—792no—
2100#117—792no—
2101#117—792no—
2102#117—792no—
2103#117—792no—
2104#117—792no—
2105#117—794no—
2106#117—794no—
2107#117—792no—
2108#117—792no—
2109#117—792no—
2110#117—794no—
2111#117—792no—
2112#117—792no—
2113#117—792no—
2114#117—792no—
2115#117—794no—
2116#117—794no—
2117#117—794no—
2118#117C22×D7912yes—
2119#117C22×D7912yes—
2120C2×C4⋊C4—794no—
2121C2×C4⋊C4—792no—
2122C2×C4⋊C4—792no—
2123C2×C4⋊C4—794no—
2124C2×C4⋊C4—794no—
2125C2×C4⋊C4—794no—
2126C2×C4⋊C4—792no—
2127C2×C4⋊C4—792no—
2128C2×C4⋊C4C22×D7914yes—
2129C2×C22⋊C4—794no—
2130C2×C22⋊C4—794no—
2131C2×C22⋊C4—794no—
2132C2×C22⋊C4—794no—
2133C2×C22⋊C4—794no—
2134C2×C22⋊C4—794no—
2135C2×C22⋊C4—794no—
2136C2×C22⋊C4—794no—
2137C2×C22⋊C4—794no—
2138C2×C22⋊C4—794no—
2139C2×C22⋊C4—794no—
2140C2×C22⋊C4—794no—
2141C2×C42—792no—
2142C2×C42—791no—
2143C2×C42—791no—
2144C2×C42—791no—
2145C2×C42—791no—
2146C2×C42—791no—
2147C2×C42—792no—
2148C2×C42—792no—
2149C2×C42—792no—
2150C2×C42—791no—
2151C2×C42—791no—
2152C2×C42—791no—
2153C2×C42—791no—
2154C2×C42—791no—
2155C2×C42—791no—
2156C2×C42C22×D7911yescharacteristic
2157C24—794no—
2158C24—794no—
2159C24—794no—
2160C24—791no—
2161#41—44no—
2162#41—44no—
2163#41—3164no—
2164#41—3164no—
2165#41—3164no—
2166#41—3168no—
2167#41—3168no—
2168#41—3168no—
2169#41—3168no—
2170#41—3168no—
2171#41—3164no—
2172#41—3162no—
2173#41—3164no—
2174#41—3168no—
2175#41—3164no—
2176#41—3164no—
2177#41—3162no—
2178#41—3164no—
2179#41—3164no—
2180#41—3164no—
2181#41—3168no—
2182#41—3164no—
2183#41—1588no—
2184#41—1584no—
2185#41—1584no—
2186C2×Q8—44no—
2187C2×Q8—3164no—
2188C2×Q8—3168no—
2189C2×Q8—792no—
2190C2×Q8—794no—
2191C2×Q8—792no—
2192C2×Q8—791no—
2193C2×Q8—792no—
2194C2×Q8—794no—
2195C2×Q8—792no—
2196C2×Q8—1588no—
2197C2×Q8C23×D7911yescharacteristic
2198C2×Q8C23×D7911yescharacteristic
2199C2×Q8C23×D7912yes—
2200C2×Q8C23×D7911yescharacteristic
2201C2×Q8C23×D7912yes—
2202C2×Q8C23×D7914yes—
2203C2×D4—3164no—
2204C2×D4—3168no—
2205C2×D4—3168no—
2206C2×D4—3164no—
2207C2×D4—3164no—
2208C2×D4—3164no—
2209C2×D4—3164no—
2210C2×D4—3168no—
2211C2×D4—3164no—
2212C2×D4—3168no—
2213C2×D4—3168no—
2214C2×D4—792no—
2215C2×D4—792no—
2216C2×D4—792no—
2217C2×D4—794no—
2218C2×D4—794no—
2219C2×D4—794no—
2220C2×D4—794no—
2221C2×D4—794no—
2222C2×D4—792no—
2223C2×D4—794no—
2224C2×D4—794no—
2225C2×D4—794no—
2226C2×D4—794no—
2227C2×D4—792no—
2228C2×D4—794no—
2229C2×D4—792no—
2230C2×D4—792no—
2231C2×D4—794no—
2232C2×D4—792no—
2233C2×D4—792no—
2234C2×D4—792no—
2235C2×D4—792no—
2236C2×D4—794no—
2237C2×D4—794no—
2238C2×D4—792no—
2239C2×D4—794no—
2240C2×D4—792no—
2241C2×D4—794no—
2242C2×D4—794no—
2243C2×D4—794no—
2244C2×D4—794no—
2245C2×D4—792no—
2246C2×D4—791no—
2247C2×D4—792no—
2248C2×D4—792no—
2249C2×D4—792no—
2250C2×D4—791no—
2251C2×D4—792no—
2252C2×D4—791no—
2253C2×D4—1588no—
2254C2×D4C23×D7912yes—
2255C2×D4C23×D7911yescharacteristic
2256C2×D4C23×D7912yes—
2257C2×D4C23×D7912yes—
2258C2×D4C23×D7912yes—
2259C2×D4C23×D7914yes—
2260C2×D4C23×D7914yes—
2261C2×D4C23×D7914yes—
2262C22×C4—3162no—
2263C22×C4—3168no—
2264C22×C4—3162no—
2265C22×C4—791no—
2266C22×C4—792no—
2267C22×C4—792no—
2268C22×C4—794no—
2269C22×C4—794no—
2270C22×C4—791no—
2271C22×C4—791no—
2272C22×C4—791no—
2273C22×C4—791no—
2274C22×C4—792no—
2275C22×C4—792no—
2276C22×C4—794no—
2277C22×C4—794no—
2278C22×C4—794no—
2279C22×C4—794no—
2280C22×C4—794no—
2281C22×C4—794no—
2282C22×C4—794no—
2283C22×C4—794no—
2284C22×C4—791no—
2285C22×C4—791no—
2286C22×C4—791no—
2287C22×C4—791no—
2288C22×C4—791no—
2289C22×C4—791no—
2290C22×C4—791no—
2291C22×C4—791no—
2292C22×C4—791no—
2293C22×C4—791no—
2294C22×C4—792no—
2295C22×C4—792no—
2296C22×C4—792no—
2297C22×C4—792no—
2298C22×C4—792no—
2299C22×C4—792no—
2300C22×C4—792no—
2301C22×C4—794no—
2302C22×C4—1584no—
2303C22×C4C23×D7911yescharacteristic
2304C22×C4C23×D7911yescharacteristic
2305C22×C4C23×D7912yes—
2306C22×C4C23×D7911yescharacteristic
2307C22×C4C23×D7914yes—
2308C22×C4C23×D7914yes—
2309C22×C4C23×D7914yes—
2310C22×C4C23×D7914yes—
2311C4⋊C4—792no—
2312C4⋊C4—792no—
2313C4⋊C4—794no—
2314C4⋊C4—792no—
2315C4⋊C4—792no—
2316C4⋊C4—794no—
2317C4⋊C4—794no—
2318C4⋊C4—794no—
2319C4⋊C4—794no—
2320C4⋊C4—794no—
2321C4⋊C4—792no—
2322C4⋊C4—792no—
2323C4⋊C4—792no—
2324C4⋊C4—792no—
2325C4⋊C4—792no—
2326C4⋊C4—792no—
2327C4⋊C4—792no—
2328C4⋊C4—792no—
2329C4⋊C4—792no—
2330C4⋊C4—792no—
2331C4⋊C4—794no—
2332C4⋊C4—794no—
2333C4⋊C4—792no—
2334C4⋊C4—791no—
2335C4⋊C4—792no—
2336C4⋊C4—794no—
2337C4⋊C4—792no—
2338C4⋊C4—792no—
2339C4⋊C4—791no—
2340C4⋊C4—791no—
2341C4⋊C4—792no—
2342C4⋊C4—791no—
2343C4⋊C4—792no—
2344C4⋊C4—792no—
2345C4⋊C4—792no—
2346C4⋊C4—792no—
2347C4⋊C4—794no—
2348C4⋊C4C23×D7912yes—
2349C4⋊C4C23×D7912yes—
2350C4⋊C4C23×D7911yescharacteristic
2351C4⋊C4C23×D7914yes—
2352C4⋊C4C23×D7912yes—
2353C4⋊C4C23×D7914yes—
2354C4⋊C4C23×D7912yes—
2355C4⋊C4C23×D7914yes—
2356C4⋊C4C23×D7911yescharacteristic
2357C4⋊C4C23×D7911yescharacteristic
2358C4⋊C4C23×D7912yes—
2359C4⋊C4C23×D7911yescharacteristic
2360C4⋊C4C23×D7912yes—
2361C4⋊C4C23×D7912yes—
2362C4⋊C4C23×D7912yes—
2363C4⋊C4C23×D7912yes—
2364C4⋊C4C23×D7914yes—
2365C4⋊C4C23×D7912yes—
2366C4⋊C4C23×D7912yes—
2367C4⋊C4C23×D7912yes—
2368C4⋊C4C23×D7912yes—
2369C22⋊C4—792no—
2370C22⋊C4—794no—
2371C22⋊C4—794no—
2372C22⋊C4—794no—
2373C22⋊C4—794no—
2374C22⋊C4—794no—
2375C22⋊C4—792no—
2376C22⋊C4—792no—
2377C22⋊C4—792no—
2378C22⋊C4—792no—
2379C22⋊C4—792no—
2380C22⋊C4—792no—
2381C22⋊C4—792no—
2382C22⋊C4—792no—
2383C22⋊C4—792no—
2384C22⋊C4—792no—
2385C22⋊C4—792no—
2386C22⋊C4—794no—
2387C22⋊C4—794no—
2388C22⋊C4—794no—
2389C22⋊C4—794no—
2390C22⋊C4—794no—
2391C22⋊C4—794no—
2392C22⋊C4—794no—
2393C22⋊C4—794no—
2394C22⋊C4—794no—
2395C22⋊C4—794no—
2396C22⋊C4—794no—
2397C22⋊C4—794no—
2398C22⋊C4—794no—
2399C22⋊C4—794no—
2400C22⋊C4—792no—
2401C22⋊C4—792no—
2402C22⋊C4—792no—
2403C22⋊C4—792no—
2404C22⋊C4—792no—
2405C22⋊C4—792no—
2406C22⋊C4—792no—
2407C22⋊C4—794no—
2408C22⋊C4—794no—
2409C22⋊C4—792no—
2410C22⋊C4—792no—
2411C22⋊C4—792no—
2412C22⋊C4—792no—
2413C22⋊C4—792no—
2414C22⋊C4—792no—
2415C22⋊C4—792no—
2416C22⋊C4—792no—
2417C22⋊C4—792no—
2418C22⋊C4—792no—
2419C22⋊C4C23×D7912yes—
2420C22⋊C4C23×D7914yes—
2421C22⋊C4C23×D7914yes—
2422C22⋊C4C23×D7914yes—
2423C22⋊C4C23×D7914yes—
2424C22⋊C4C23×D7914yes—
2425C22⋊C4C23×D7914yes—
2426C22⋊C4C23×D7914yes—
2427C22⋊C4C23×D7912yes—
2428C22⋊C4C23×D7912yes—
2429C22⋊C4C23×D7912yes—
2430C22⋊C4C23×D7912yes—
2431C22⋊C4C23×D7912yes—
2432C22⋊C4C23×D7912yes—
2433C42—791no—
2434C42—791no—
2435C42—791no—
2436C42—791no—
2437C42—791no—
2438C42—791no—
2439C42—791no—
2440C42—791no—
2441C42—791no—
2442C42—791no—
2443C42—791no—
2444C42—791no—
2445C42—792no—
2446C42—792no—
2447C42—792no—
2448C42—792no—
2449C42—792no—
2450C42—792no—
2451C42—792no—
2452C42—792no—
2453C42—792no—
2454C42—794no—
2455C42—794no—
2456C42—794no—
2457C42C23×D7911yescharacteristic
2458C42C23×D7911yescharacteristic
2459C42C23×D7911yescharacteristic
2460C42C23×D7911yescharacteristic
2461C42C23×D7912yes—
2462C42C23×D7912yes—
2463C42C23×D7912yes—
2464C42C23×D7914yes—
2465C23—3161no—
2466C23—3161no—
2467C23—3164no—
2468C23—3164no—
2469C23—3164no—
2470C23—3164no—
2471C23—3164no—
2472C23—3164no—
2473C23—3164no—
2474C23—3164no—
2475C23—791no—
2476C23—792no—
2477C23—794no—
2478C23—792no—
2479C23—791no—
2480C23—792no—
2481C23—1582no—
2482C23—1588no—
2483C23C24×D7912yes—
2484C23C24×D7914yes—
2485C23C24×D7911yescharacteristic
2486Q8—22no—
2487Q8—24no—
2488Q8—22no—
2489Q8—22no—
2490Q8—44no—
2491Q8—42no—
2492Q8—3164no—
2493Q8—3162no—
2494Q8—1584no—
2495Q8—1588no—
2496Q8—1584no—
2497Q8—1584no—
2498Q8—1582no—
2499D4—24no—
2500D4—24no—
2501D4—22no—
2502D4—44no—
2503D4—42no—
2504D4—44no—
2505D4—44no—
2506D4—42no—
2507D4—3164no—
2508D4—3164no—
2509D4—3164no—
2510D4—3162no—
2511D4—3164no—
2512D4—3164no—
2513D4—3162no—
2514D4—3164no—
2515D4—3162no—
2516D4—3162no—
2517D4—3162no—
2518D4—3162no—
2519D4—3164no—
2520D4—3164no—
2521D4—3164no—
2522D4—3164no—
2523D4—3164no—
2524D4—3164no—
2525D4—3164no—
2526D4—3162no—
2527D4—3164no—
2528D4—3162no—
2529D4—3162no—
2530D4—3164no—
2531D4—3162no—
2532D4—3164no—
2533D4—1584no—
2534D4—1584no—
2535D4—1584no—
2536D4—1588no—
2537D4—1584no—
2538D4—1584no—
2539D4—1588no—
2540D4—1584no—
2541D4—1582no—
2542D4—1584no—
2543D4—1582no—
2544D4—1584no—
2545D4—1582no—
2546C2×C4—22no—
2547C2×C4—24no—
2548C2×C4—22no—
2549C2×C4—41no—
2550C2×C4—44no—
2551C2×C4—44no—
2552C2×C4—44no—
2553C2×C4—44no—
2554C2×C4—3164no—
2555C2×C4—3164no—
2556C2×C4—3161no—
2557C2×C4—3161no—
2558C2×C4—3161no—
2559C2×C4—3161no—
2560C2×C4—3164no—
2561C2×C4—3164no—
2562C2×C4—3164no—
2563C2×C4—3164no—
2564C2×C4—3164no—
2565C2×C4—3162no—
2566C2×C4—3162no—
2567C2×C4—3164no—
2568C2×C4—3164no—
2569C2×C4—3161no—
2570C2×C4—3162no—
2571C2×C4—3162no—
2572C2×C4—3164no—
2573C2×C4—791no—
2574C2×C4—791no—
2575C2×C4—794no—
2576C2×C4—791no—
2577C2×C4—791no—
2578C2×C4—792no—
2579C2×C4—792no—
2580C2×C4—792no—
2581C2×C4—791no—
2582C2×C4—791no—
2583C2×C4—792no—
2584C2×C4—794no—
2585C2×C4—792no—
2586C2×C4—1582no—
2587C2×C4—1582no—
2588C2×C4—1582no—
2589C2×C4—1584no—
2590C2×C4—1584no—
2591C2×C4—1584no—
2592C2×C4—1584no—
2593C2×C4—1582no—
2594C2×C4—1588no—
2595C2×C4—1582no—
2596C2×C4—1582no—
2597C2×C4—1582no—
2598C2×C4—1584no—
2599C2×C4—1582no—
2600C2×C4—1582no—
2601C2×C4—1584no—
2602C2×C4—1584no—
2603C2×C4C24×D7912yes—
2604C2×C4C24×D7912yes—
2605C2×C4C24×D7911yescharacteristic
2606C2×C4C24×D7911yescharacteristic
2607C2×C4C24×D7911yescharacteristic
2608C2×C4C24×D7911yescharacteristic
2609C2×C4C24×D7912yes—
2610C2×C4C24×D7912yes—
2611C2×C4C24×D7912yes—
2612C2×C4C24×D7912yes—
2613C2×C4C24×D7914yes—
2614C2×C4C24×D7912yes—
2615C2×C4C24×D7911yescharacteristic
2616C2×C4C24×D7911yescharacteristic
2617C22—22no—
2618C22—21no—
2619C22—24no—
2620C22—21no—
2621C22—24no—
2622C22—22no—
2623C22—21no—
2624C22—24no—
2625C22—22no—
2626C22—3164no—
2627C22—792no—
2628C22—6328no—
2629C22—1582no—
2630C22—1584no—
2631C22—1582no—
2632C22—1581no—
2633C22—1582no—
2634C22—1581no—
2635C22—1584no—
2636C22—1582no—
2637C22—1582no—
2638C22—1582no—
2639C22—1581no—
2640C22—1584no—
2641C22—1582no—
2642C22—1582no—
2643C22—1582no—
2644C22—1581no—
2645C22—1581no—
2646C22—12644no—
2647C22—12644no—
2648C22C25×D7911yescharacteristic
2649C4—21no—
2650C4—22no—
2651C4—22no—
2652C4—24no—
2653C4—22no—
2654C4—22no—
2655C4—22no—
2656C4—21no—
2657C4—21no—
2658C4—22no—
2659C4—21no—
2660C4—22no—
2661C4—792no—
2662C4—792no—
2663C4—1581no—
2664C4—1584no—
2665C4—1582no—
2666C4—1581no—
2667C4—1582no—
2668C4—1581no—
2669C4—1582no—
2670C4—1582no—
2671C4—1581no—
2672C4—1582no—
2673C4H(5,𝔽2)×D7912yes—
2674C4#1909940012yes—
2675C2—41no—
2676C2—44no—
2677C2—42no—
2678C2—3161no—
2679C2—3164no—
2680C2—3162no—
2681C2—3162no—
2682C2—3162no—
2683C2—1582no—
2684C2C2×H(5,𝔽2)×D7911yescharacteristic
2685C2#585×D7911yescharacteristic
2686C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3554C2
hypercenter#3554D79
hypocenterC79#62836
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3554

Complements

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

NH ≅ G/Ntype
1. #23777985C2semidirect
2. #23777983C2semidirect
3. #23777871C2semidirect
4. #23777860C2semidirect
5. #23777774C2semidirect
6. #23777769C2semidirect
7. #23777766C2semidirect
8. #23777722C2semidirect
9. #23777713C2semidirect
10. #23777712C2semidirect
11. #23777407C2semidirect
12. #23777405C2semidirect
13. #23777403C2semidirect
14. #23777362C2semidirect
15. #23777360C2semidirect
16. #23777354C2semidirect
17. #23777343C2semidirect
18. #23777339C2semidirect
19. #23777330C2semidirect
20. #23777308C2semidirect
21. #23777305C2semidirect
22. #23777292C2semidirect
23. #23777283C2semidirect
24. #23777273C2semidirect
25. #23777273C2semidirect
26. #23777272C2semidirect
27. #23777189C2semidirect
28. #23777184C2semidirect
29. #23777177C2semidirect
30. #23777057C2semidirect
31. #23777039C2semidirect
32. #23776697C2semidirect
33. #23776694C2semidirect
34. #532×D79C2semidirect
35. C79×#3554C2semidirect
36. C2×#14579209C22semidirect
38. C2×#41×D79C22semidirect
39. #19099310C22semidirect
40. #19099309C22semidirect
41. #19099309C22semidirect
42. #19099304C22semidirect
43. #19099303C22semidirect
44. #19099303C22semidirect
45. #19099301C22semidirect
46. #19099298C22semidirect
47. #19099298C22semidirect
48. #19099297C22semidirect
49. #19099297C22semidirect
50. #19099295C22semidirect
51. #19099295C22semidirect
52. #19099291C22semidirect
53. #19099288C22semidirect
54. #19099287C22semidirect
55. #19099286C22semidirect
56. #19099285C22semidirect
57. #19099284C22semidirect
58. #19099280C22semidirect
59. #19099279C22semidirect
60. #19099278C22semidirect
61. #19099275C22semidirect
62. #19099273C22semidirect
63. #19099267C22semidirect
64. #19099266C22semidirect
65. #19099266C22semidirect
66. #19099266C22semidirect
67. #19099264C22semidirect
68. #19099263C22semidirect
69. #19099263C22semidirect
70. #19099261C22semidirect
71. #19099258C22semidirect
72. #19099258C22semidirect
73. #19099256C22semidirect
74. #19099254C22semidirect
75. #19099251C22semidirect
76. #19099245C22semidirect
77. #19099243C22semidirect
78. #19099242C22semidirect
79. #19099240C22semidirect
80. #19099240C22semidirect
81. #19099240C22semidirect
82. #19099238C22semidirect
83. #19099236C22semidirect
84. #19099236C22semidirect
85. #19099235C22semidirect
86. #19099235C22semidirect
87. #19099235C22semidirect
88. #19099235C22semidirect
89. #19099234C22semidirect
90. #19099234C22semidirect
91. #19099234C22semidirect
92. #19099233C22semidirect
93. #19099233C22semidirect
94. #19099232C22semidirect
95. #19099232C22semidirect
96. #19099231C22semidirect
97. #19099231C22semidirect
98. #19099231C22semidirect
99. Q8×D316C22semidirect
100. Q8×C22⋊D79C22semidirect
101. #19099224C22semidirect
102. #19099223C22semidirect
103. #19099223C22semidirect
104. #19099223C22semidirect
105. #19099223C22semidirect
106. #19099221C22semidirect
107. #19099221C22semidirect
108. #19099218C22semidirect
109. #19099218C22semidirect
110. #19099216C22semidirect
111. #19099216C22semidirect
112. #19099216C22semidirect
113. #19099215C22semidirect
114. #19099215C22semidirect
115. #19099215C22semidirect
116. #19099214C22semidirect
117. #19099212C22semidirect
118. #19099211C22semidirect
119. #19099209C22semidirect
120. #19099208C22semidirect
121. #19099208C22semidirect
122. #19099208C22semidirect
123. #19099208C22semidirect
124. #19099206C22semidirect
125. #19099206C22semidirect
126. #19099206C22semidirect
127. #19099205C22semidirect
128. #19099205C22semidirect
129. #19099205C22semidirect
130. #19099205C22semidirect
131. #19099205C22semidirect
132. #19099205C22semidirect
133. #19099205C22semidirect
134. #19099204C22semidirect
135. #19099204C22semidirect
136. #19099204C22semidirect
137. #19099202C22semidirect
138. #19099202C22semidirect
139. #19099201C22semidirect
141. D4×D316C22semidirect
143. #19099198C22semidirect
145. #19099197C22semidirect
146. #19099187C22semidirect
147. #19099187C22semidirect
148. #19099184C22semidirect
149. #19099184C22semidirect
150. #19099183C22semidirect
151. #19099183C22semidirect
152. #19099182C22semidirect
153. #19099182C22semidirect
154. #19099172C22semidirect
155. #19099169C22semidirect
156. #19099169C22semidirect
157. #19099168C22semidirect
158. #19099167C22semidirect
159. #19099166C22semidirect
160. #19099165C22semidirect
161. #19099165C22semidirect
162. #19099165C22semidirect
163. #19099165C22semidirect
164. #19099163C22semidirect
165. #19099162C22semidirect
166. #19099161C22semidirect
167. #19099156C22semidirect
168. #19099153C22semidirect
169. #19099153C22semidirect
170. #19099152C22semidirect
171. #19099150C22semidirect
172. #19099149C22semidirect
173. #19099147C22semidirect
174. #19099147C22semidirect
175. #19099146C22semidirect
176. #19099143C22semidirect
177. #19099143C22semidirect
178. #19099142C22semidirect
180. #19099138C22semidirect
181. #19099136C22semidirect
182. #19099136C22semidirect
183. #19099132C22semidirect
184. #19099131C22semidirect
185. #19099131C22semidirect
186. #19099131C22semidirect
187. #19099131C22semidirect
189. #19099129C22semidirect
190. #19099129C22semidirect
191. #19099129C22semidirect
192. #19099129C22semidirect
193. #19099124C22semidirect
194. #19099121C22semidirect
195. #19099119C22semidirect
196. #19099119C22semidirect
197. #19099118C22semidirect
198. #19099118C22semidirect
199. #19099117C22semidirect
200. #19099117C22semidirect
201. #19099115C22semidirect
203. #19099114C22semidirect
204. #19099114C22semidirect
205. #19099114C22semidirect
206. #19099113C22semidirect
207. #19099113C22semidirect
208. #19099112C22semidirect
209. #19099112C22semidirect
210. #19099112C22semidirect
211. #19099111C22semidirect
213. #19099110C22semidirect
214. #19099110C22semidirect
215. #19099110C22semidirect
216. #19099110C22semidirect
217. #19099110C22semidirect
218. #19099109C22semidirect
219. #19099109C22semidirect
220. #19099108C22semidirect
221. #19099108C22semidirect
222. #19099108C22semidirect
223. C4⋊Q8×D79C22semidirect
224. C4⋊Q8×D79C22semidirect
226. #127×D79C22semidirect
227. #19099100C22semidirect
228. #19099100C22semidirect
229. #19099100C22semidirect
230. #19099100C22semidirect
231. #19099099C22semidirect
232. #19099099C22semidirect
233. #19099099C22semidirect
234. #19099099C22semidirect
235. #19099098C22semidirect
236. #19099098C22semidirect
237. #19099098C22semidirect
238. #19099097C22semidirect
239. #19099096C22semidirect
240. #19099096C22semidirect
241. #19099095C22semidirect
242. #19099094C22semidirect
243. #19099092C22semidirect
244. #19099091C22semidirect
245. #19099090C22semidirect
246. C2×#14579150C22semidirect
247. #124×D79C22semidirect
248. #124×D79C22semidirect
250. #19099076C22semidirect
251. #19099076C22semidirect
252. #19099076C22semidirect
253. #19099076C22semidirect
254. #19099075C22semidirect
255. #19099073C22semidirect
256. #19099072C22semidirect
257. #19099072C22semidirect
258. #19099071C22semidirect
259. C2×#14579146C22semidirect
260. #123×D79C22semidirect
261. #121×D79C22semidirect
262. #121×D79C22semidirect
263. #19099045C22semidirect
264. #19099044C22semidirect
265. #19099042C22semidirect
266. #19099039C22semidirect
267. #19099035C22semidirect
268. #19099035C22semidirect
269. #19099035C22semidirect
270. #19099035C22semidirect
272. C4×#11929625C22semidirect
273. C4×#11929625C22semidirect
274. C4×#11929625C22semidirect
275. #19099031C22semidirect
276. #19099031C22semidirect
277. C4×#11929623C22semidirect
278. C4×#11929623C22semidirect
279. C4×D4×D79C22semidirect
280. C4×D4×D79C22semidirect
281. C2×C42×D79C22semidirect
282. #562×C79C22semidirect
283. #559×C79C22semidirect
284. #559×C79C22semidirect
285. #557×C79C22semidirect
286. #554×C79C22semidirect
287. #550×C79C22semidirect
288. D4×Q8×C79C22semidirect
289. #548×C79C22semidirect
290. #547×C79C22semidirect
291. #542×C79C22semidirect
292. #542×C79C22semidirect
293. #540×C79C22semidirect
294. #539×C79C22semidirect
295. #536×C79C22semidirect
296. #533×C79C22semidirect
297. #532×C79C22semidirect
298. #529×C79C22semidirect
1348. #3554D79semidirect
1379. C79#62836semidirect
1386. #562C2×D79semidirect
1397. #559C2×D79semidirect
1398. #559C2×D79semidirect
1401. #557C2×D79semidirect
1412. #554C2×D79semidirect
1448. #550C2×D79semidirect
1451. D4×Q8C2×D79semidirect
1459. #548C2×D79semidirect
1471. #547C2×D79semidirect
1507. #542C2×D79semidirect
1508. #542C2×D79semidirect
1520. #540C2×D79semidirect
1524. #539C2×D79semidirect
1540. #536C2×D79semidirect
1560. #533C2×D79semidirect
1582. #532C2×D79semidirect
1606. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779852
#237779832
#237778712
#237778602
#237777742
#237777692
#237777662
#237777222
#237777132
#237777122
#237774072
#237774052
#237774032
#237773622
#237773602
#237773542
#237773432
#237773392
#237773302
#237773082
#237773052
#237772922
#237772832
#237772732
#237772722
#237771892
#237771842
#237771772
#237770572
#237770392
#237766972
#237766942
#532×D792
C79×#35542
#6283679