Finite Group Databasebeta

← #3536×D79 #35195482

Subgroups — #3536×D79 #35195482

Order 20224.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777629C211yesmaximal, characteristic, complemented
2#23777628C212yesmaximal, complemented
3#23777627C211yesmaximal, characteristic, complemented
4#23777626C212yesmaximal, complemented
5#23777625C212yesmaximal, complemented
6#23777624C212yesmaximal, complemented
7#23777623C212yesmaximal, complemented
8#23777622C211yesmaximal, characteristic, complemented
9#23777621C212yesmaximal, complemented
10#23777620C212yesmaximal, complemented
11#23777619C214yesmaximal, complemented
12#23777618C212yesmaximal, complemented
13#23777617C212yesmaximal, complemented
14#23777616C212yesmaximal, complemented
15#23777615C214yesmaximal, complemented
16#562×D79C214yesmaximal, complemented
17#554×D79C212yesmaximal, complemented
18#548×D79C212yesmaximal, complemented
19#547×D79C212yesmaximal, complemented
20#546×D79C212yesmaximal, complemented
21#546×D79C214yesmaximal, complemented
22#543×D79C212yesmaximal, complemented
23#542×D79C212yesmaximal, complemented
24#539×D79C212yesmaximal, complemented
25#538×D79C212yesmaximal, complemented
26#537×D79C212yesmaximal, complemented
27#537×D79C212yesmaximal, complemented
28#525×D79C211yesmaximal, characteristic, complemented
29C2×C22⋊Q8×D79C211yesmaximal, characteristic, complemented
30C2×#121×D79C211yesmaximal, characteristic, complemented
31C79×#3536C211yesmaximal, characteristic, complemented
32C2×#41×D79C2214yescomplemented
33C2×#41×D79C2212yescomplemented
34C2×#41×D79C2211yescharacteristic, complemented
35C22×Q8×D79C2211yescharacteristic, complemented
36C22×D4×D79C2212yes—
37C22×D4×D79C2211yescharacteristic
38C23×C4×D79C2211yescharacteristic
39#19099311C2214yescomplemented
40#19099310C2214yescomplemented
41#19099310C2214yescomplemented
42#19099310C2214yescomplemented
43#19099310C2214yescomplemented
44#19099309C2214yescomplemented
45#19099309C2214yescomplemented
46#19099309C2214yescomplemented
47#19099309C2214yescomplemented
48#19099308C2214yescomplemented
49#19099308C2214yescomplemented
50#19099308C2214yescomplemented
51#19099308C2214yescomplemented
52#19099307C2214yescomplemented
53#19099307C2214yescomplemented
54#19099274C2212yescomplemented
55#19099273C2212yescomplemented
56#19099272C2214yescomplemented
57#19099271C2212yescomplemented
58#19099271C2212yescomplemented
59#19099270C2212yescomplemented
60#19099269C2214yescomplemented
61#19099268C2212yescomplemented
62#19099268C2212yescomplemented
63#19099267C2214yescomplemented
64#19099267C2214yescomplemented
65#19099225C2212yescomplemented
66#19099224C2212yescomplemented
67#19099223C2214yescomplemented
68#19099223C2212yescomplemented
69#19099222C2214yescomplemented
70#19099222C2212yescomplemented
71#19099221C2212yescomplemented
72#19099221C2214yescomplemented
73#19099220C2212yescomplemented
74#19099219C2212yescomplemented
75#19099219C2214yescomplemented
76#19099218C2212yescomplemented
77#19099217C2212yescomplemented
78#19099216C2212yescomplemented
79#19099215C2214yescomplemented
80#19099214C2212yescomplemented
81#19099214C2212yescomplemented
82#19099213C2212yescomplemented
83#19099213C2212yescomplemented
84#19099212C2214yescomplemented
85#19099211C2214yescomplemented
86#19099211C2214yescomplemented
87#19099210C2214yescomplemented
88#19099210C2212yescomplemented
89#19099209C2214yescomplemented
90#19099209C2212yescomplemented
91#19099208C2214yescomplemented
92#19099208C2212yescomplemented
93#19099207C2214yescomplemented
94#19099207C2212yescomplemented
95#19099206C2212yescomplemented
96#19099206C2214yescomplemented
97#19099205C2214yescomplemented
98#19099205C2214yescomplemented
99#19099205C2214yescomplemented
100#19099204C2214yescomplemented
101#19099204C2212yescomplemented
102#19099203C2214yescomplemented
103#19099203C2214yescomplemented
104#19099203C2214yescomplemented
105#19099202C2214yescomplemented
106#19099202C2214yescomplemented
107#19099202C2214yescomplemented
108#19099201C2212yescomplemented
109#19099201C2214yescomplemented
110#19099200C2214yescomplemented
111#19099200C2214yescomplemented
112#19099200C2214yescomplemented
113#19099189C2214yescomplemented
114#19099189C2212yescomplemented
115#19099188C2214yescomplemented
116#19099188C2212yescomplemented
117#19099188C2212yescomplemented
118#19099188C2214yescomplemented
119#19099188C2214yescomplemented
120#19099188C2214yescomplemented
121#19099188C2214yescomplemented
122#19099187C2212yescomplemented
123#19099186C2212yescomplemented
124#19099185C2212yescomplemented
125#19099184C2212yescomplemented
126#19099183C2214yescomplemented
127#19099182C2212yescomplemented
128#19099181C2214yescomplemented
129#19099180C2212yescomplemented
130#19099179C2214yescomplemented
131#19099178C2212yescomplemented
132#19099177C2214yescomplemented
133#19099162C2212yescomplemented
134#19099161C2214yescomplemented
135#19099160C2212yescomplemented
136#19099159C2214yescomplemented
137#19099158C2212yescomplemented
138#19099157C2214yescomplemented
139#19099156C2214yescomplemented
140#19099155C2214yescomplemented
141#19099154C2214yescomplemented
142#19099153C2212yescomplemented
143#19099152C2214yescomplemented
144#19099151C2212yescomplemented
145#19099150C2212yescomplemented
146#19099149C2214yescomplemented
147#19099148C2214yescomplemented
148#19099147C2214yescomplemented
149#19099146C2214yescomplemented
150#19099145C2214yescomplemented
151#19099144C2212yescomplemented
152#19099144C2212yescomplemented
153#19099143C2214yescomplemented
154#19099143C2214yescomplemented
155#19099143C2212yescomplemented
156#19099143C2212yescomplemented
157#19099143C2214yescomplemented
158#19099142C2212yescomplemented
159#19099142C2214yescomplemented
160#19099142C2212yescomplemented
161#19099142C2214yescomplemented
162#19099142C2214yescomplemented
163#19099141C2212yescomplemented
164#19099141C2214yescomplemented
165#19099141C2212yescomplemented
166#19099140C2212yescomplemented
167#19099140C2214yescomplemented
168#19099140C2214yescomplemented
169#19099140C2214yescomplemented
170#19099140C2212yescomplemented
171C4⋊Q8×D79C2212yescomplemented
172#126×D79C2214yescomplemented
173#125×D79C2214yescomplemented
174#124×D79C2212yescomplemented
175#124×D79C2214yescomplemented
176#124×D79C2214yescomplemented
177#19099076C2211yescharacteristic, complemented
178#19099076C2211yescharacteristic, complemented
179#19099075C2211yescharacteristic, complemented
180#19099074C2211yescharacteristic, complemented
181#19099073C2211yescharacteristic, complemented
182#19099073C2211yescharacteristic, complemented
183#19099072C2212yescomplemented
184#19099072C2212yescomplemented
185#19099071C2212yescomplemented
186#19099070C2211yescharacteristic, complemented
187#19099069C2212yescomplemented
188#123×D79C2214yescomplemented
189#123×D79C2214yescomplemented
190#123×D79C2214yescomplemented
191#123×D79C2214yescomplemented
192#123×D79C2212yescomplemented
193C2×#14579141C2211yescharacteristic, complemented
194C2×#14579140C2211yescharacteristic, complemented
195C2×#14579139C2212yescomplemented
196C2×#14579138C2212yescomplemented
197C2×#14579137C2211yescharacteristic, complemented
198C22⋊Q8×D79C2211yescharacteristic
199C22⋊Q8×D79C2214yes—
200C22⋊Q8×D79C2212yes—
201C22⋊Q8×D79C2212yes—
202C22⋊Q8×D79C2214yescomplemented
203C22⋊Q8×D79C2212yescomplemented
204C22⋊Q8×D79C2214yescomplemented
205C22⋊Q8×D79C2214yescomplemented
206C22⋊Q8×D79C2214yescomplemented
207C22⋊Q8×D79C2212yescomplemented
208C22⋊Q8×D79C2212yescomplemented
209C22⋊Q8×D79C2211yescharacteristic, complemented
210C22⋊Q8×D79C2214yescomplemented
211C22⋊Q8×D79C2212yescomplemented
212C22⋊Q8×D79C2212yescomplemented
213C22⋊Q8×D79C2212yescomplemented
214C22⋊Q8×D79C2212yescomplemented
215C2×#14579136C2211yescharacteristic, complemented
216C2×#14579135C2211yescharacteristic, complemented
217C2×#14579134C2212yescomplemented
218C2×#14579133C2212yescomplemented
219C2×#14579132C2211yescharacteristic, complemented
220#121×D79C2212yes—
221#121×D79C2212yes—
222#121×D79C2212yes—
223#121×D79C2212yes—
224#121×D79C2211yescharacteristic
225#121×D79C2212yescomplemented
226#121×D79C2212yescomplemented
227#121×D79C2212yescomplemented
228#121×D79C2212yescomplemented
229#121×D79C2212yescomplemented
230#121×D79C2214yescomplemented
231#121×D79C2214yescomplemented
232#121×D79C2214yescomplemented
233#121×D79C2214yescomplemented
234#121×D79C2211yescharacteristic, complemented
235#121×D79C2214yescomplemented
236#120×D79C2212yes—
237#120×D79C2214yes—
238C4×Q8×D79C2212yescomplemented
239C4×D4×D79C2212yes—
240C4×D4×D79C2214yes—
241C4×D4×D79C2212yescomplemented
242C4×D4×D79C2214yescomplemented
243C4×D4×D79C2212yescomplemented
244#117×D79C2211yescharacteristic, complemented
245C2×C4⋊C4×D79C2211yescharacteristic
246C2×C4⋊C4×D79C2211yescharacteristic, complemented
247C2×C4⋊C4×D79C2212yescomplemented
248C2×C4⋊C4×D79C2212yescomplemented
249C2×C22⋊C4×D79C2214yes—
250C2×C22⋊C4×D79C2212yes—
251C2×C22⋊C4×D79C2212yes—
252#562×C79C2214yescomplemented
253#554×C79C2212yescomplemented
254#548×C79C2212yescomplemented
255#547×C79C2212yescomplemented
256#546×C79C2214yescomplemented
257#546×C79C2212yescomplemented
258#543×C79C2212yescomplemented
259#542×C79C2212yescomplemented
260#539×C79C2212yescomplemented
261#538×C79C2212yescomplemented
262#537×C79C2212yescomplemented
263#537×C79C2212yescomplemented
264#525×C79C2211yescharacteristic, complemented
265C2×C22⋊Q8×C79C2211yescharacteristic, complemented
266C2×#121×C79C2211yescharacteristic, complemented
267C24×D79C2311yescharacteristic
268C24×D79C2312yes—
269C2×#11929625C2311yescharacteristic, complemented
270C2×#11929625C2314yescomplemented
271C2×#11929625C2312yescomplemented
272C2×#11929624C2312yescomplemented
273C2×#11929624C2314yescomplemented
274C2×#11929624C2312yescomplemented
275C2×#11929624C2311yescharacteristic, complemented
276C2×#11929624C2314yescomplemented
277C2×#11929624C2314yescomplemented
278C2×#11929624C2314yescomplemented
279C2×#11929623C2311yescharacteristic, complemented
280C2×#11929623C2312yescomplemented
281C2×#11929623C2314yescomplemented
282C2×#11929623C2314yescomplemented
283C2×#11929623C2314yescomplemented
284C2×#11929623C2314yescomplemented
285C2×#11929623C2312yescomplemented
286#41×D79—44no—
287#41×D79—416no—
288#41×D79—48no—
289C22×Dic158C2312yescomplemented
290C22×Dic158C2311yescharacteristic, complemented
291C2×Q8×D79—44no—
292C2×Q8×D79C2312yes—
293C2×Q8×D79C2311yescharacteristic
294C2×Q8×D79C2312yes—
295C2×Q8×D79C2314yes—
296C2×Q8×D79C2312yescomplemented
297C2×Q8×D79C2312yescomplemented
298C22×D316C2312yes—
299C22×D316C2311yescharacteristic
300C22×C22⋊D79C2312yes—
301C22×C22⋊D79C2312yes—
302C22×C22⋊D79C2312yes—
303C2×D4×D79—44no—
304C2×D4×D79—48no—
305C2×D4×D79C2312yes—
306C2×D4×D79C2312yes—
307C2×D4×D79C2314yes—
308C2×D4×D79C2312yes—
309C2×D4×D79C2314yes—
310C2×D4×D79C2312yes—
311C2×D4×D79C2312yes—
312C2×D4×D79C2314yes—
313C2×D4×D79C2314yes—
314C2×D4×D79C2312yes—
315C2×D4×D79C2314yes—
316C2×D4×D79C2312yes—
317C2×D4×D79C2314yes—
318C2×D4×D79C2311yescharacteristic
319C23×Dic79C2311yescharacteristic
320C22×C4×D79—44no—
321C22×C4×D79C2312yes—
322C22×C4×D79C2311yescharacteristic
323C22×C4×D79C2312yes—
324C22×C4×D79C2311yescharacteristic
325C22×C4×D79C2311yescharacteristic
326C22×C4×D79C2311yescharacteristic
327C22×C4×D79C2312yes—
328C22×C4×D79C2312yes—
329C22×C4×D79C2314yes—
330C22×C4×D79C2314yes—
331C22×C4×D79C2311yescharacteristic
332C22×C4×D79C2314yes—
333C22×C4×D79C2311yescharacteristic
334C22×C4×D79C2311yescharacteristic
335C22×C4×D79C2311yescharacteristic
336C22×C4×D79C2311yescharacteristic
337C22×C4×D79C2311yescharacteristic
338C22×C4×D79C2311yescharacteristic
339C22×C4×D79C2311yescharacteristic
340#14579161C2312yescomplemented
341#14579160C2312yescomplemented
342#14579160C2314yescomplemented
343#14579160C2312yescomplemented
344#14579159C2314yescomplemented
345#14579156C2314yescomplemented
346#14579156C2314yescomplemented
347#14579156C2314yescomplemented
348#14579155C2314yescomplemented
349#14579154C2314yescomplemented
350#14579154C2314yescomplemented
351#14579154C2314yescomplemented
352#14579153C2314yescomplemented
353#14579152C2314yescomplemented
354#14579152C2314yescomplemented
355#14579151C2314yescomplemented
356#14579151C2314yescomplemented
357#14579151C2314yescomplemented
358#14579151C2314yescomplemented
359#14579150C2314yescomplemented
360#14579150C2314yescomplemented
361#14579150C2312yescomplemented
362#14579149C2314yescomplemented
363#14579149C2314yescomplemented
364#14579149C2312yescomplemented
365#14579148C2314yescomplemented
366#14579148C2312yescomplemented
367#14579148C2314yescomplemented
368#14579147C2314yescomplemented
369#14579147C2314yescomplemented
370#14579147C2314yescomplemented
371#14579147C2314yescomplemented
372#14579147C2314yescomplemented
373#14579147C2314yescomplemented
374#14579147C2314yescomplemented
375#14579147C2314yescomplemented
376#14579147C2314yescomplemented
377#14579147C2314yescomplemented
378#14579146C2314yescomplemented
379#14579146C2314yescomplemented
380#14579146C2314yescomplemented
381#14579146C2314yescomplemented
382#14579146C2314yescomplemented
383#14579146C2314yescomplemented
384#14579146C2314yescomplemented
385#14579146C2314yescomplemented
386#14579146C2312yescomplemented
387#14579146C2312yescomplemented
388#14579145C2314yescomplemented
389#14579145C2314yescomplemented
390#14579145C2314yescomplemented
391#14579145C2314yescomplemented
392#14579145C2312yescomplemented
393#14579144C2314yescomplemented
394#14579144C2314yescomplemented
395#14579144C2314yescomplemented
396#14579144C2314yescomplemented
397#14579144C2312yescomplemented
398#14579143C2314yescomplemented
399#14579143C2314yescomplemented
400#14579143C2314yescomplemented
401#14579143C2314yescomplemented
402#14579143C2314yescomplemented
403#14579143C2314yescomplemented
404#14579143C2314yescomplemented
405#14579143C2314yescomplemented
406#14579143C2312yescomplemented
407#14579143C2312yescomplemented
408#14579142C2314yescomplemented
409#14579142C2314yescomplemented
410#14579142C2314yescomplemented
411#14579142C2314yescomplemented
412#14579142C2312yescomplemented
413#14579141C2312yes—
414#14579141C2311yescharacteristic
415#14579141C2314yes—
416#14579141C2312yes—
417#14579141C2314yescomplemented
418#14579141C2312yescomplemented
419#14579141C2314yescomplemented
420#14579141C2312yescomplemented
421#14579141C2314yescomplemented
422#14579141C2311yescharacteristic, complemented
423#14579141C2314yescomplemented
424#14579141C2314yescomplemented
425#14579141C2312yescomplemented
426#14579140C2312yes—
427#14579140C2311yescharacteristic
428#14579140C2314yes—
429#14579140C2312yes—
430#14579140C2314yescomplemented
431#14579140C2314yescomplemented
432#14579140C2312yescomplemented
433#14579140C2312yescomplemented
434#14579140C2314yescomplemented
435#14579140C2311yescharacteristic, complemented
436#14579140C2314yescomplemented
437#14579140C2314yescomplemented
438#14579140C2312yescomplemented
439#14579139C2314yes—
440#14579139C2312yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2314yes—
444#14579139C2314yescomplemented
445#14579139C2314yescomplemented
446#14579139C2314yescomplemented
447#14579139C2314yescomplemented
448#14579139C2314yescomplemented
449#14579139C2314yescomplemented
450#14579139C2314yescomplemented
451#14579139C2314yescomplemented
452#14579139C2312yescomplemented
453#14579139C2314yescomplemented
454#14579139C2314yescomplemented
455#14579139C2314yescomplemented
456#14579139C2314yescomplemented
457#14579139C2314yescomplemented
458#14579138C2314yes—
459#14579138C2312yes—
460#14579138C2314yes—
461#14579138C2314yes—
462#14579138C2314yes—
463#14579138C2314yescomplemented
464#14579138C2314yescomplemented
465#14579138C2314yescomplemented
466#14579138C2314yescomplemented
467#14579138C2314yescomplemented
468#14579138C2314yescomplemented
469#14579138C2314yescomplemented
470#14579138C2314yescomplemented
471#14579138C2312yescomplemented
472#14579138C2314yescomplemented
473#14579138C2314yescomplemented
474#14579138C2314yescomplemented
475#14579138C2314yescomplemented
476#14579138C2314yescomplemented
477#14579137C2312yes—
478#14579137C2311yescharacteristic
479#14579137C2314yes—
480#14579137C2312yes—
481#14579137C2314yescomplemented
482#14579137C2314yescomplemented
483#14579137C2312yescomplemented
484#14579137C2312yescomplemented
485#14579137C2314yescomplemented
486#14579137C2311yescharacteristic, complemented
487#14579137C2314yescomplemented
488#14579137C2314yescomplemented
489#14579137C2312yescomplemented
490#14579136C2312yes—
491#14579136C2312yes—
492#14579136C2311yescharacteristic
493#14579136C2312yes—
494#14579136C2312yes—
495#14579136C2311yescharacteristic, complemented
496#14579136C2314yescomplemented
497#14579136C2314yescomplemented
498#14579136C2314yescomplemented
499#14579136C2314yescomplemented
500#14579136C2314yescomplemented
501#14579136C2312yescomplemented
502#14579135C2312yes—
503#14579135C2312yes—
504#14579135C2311yescharacteristic
505#14579135C2312yes—
506#14579135C2312yes—
507#14579135C2311yescharacteristic, complemented
508#14579135C2314yescomplemented
509#14579135C2314yescomplemented
510#14579135C2314yescomplemented
511#14579135C2312yescomplemented
512#14579135C2314yescomplemented
513#14579135C2314yescomplemented
514#14579134C2314yes—
515#14579134C2314yes—
516#14579134C2312yes—
517#14579134C2314yes—
518#14579134C2314yes—
519#14579134C2314yescomplemented
520#14579134C2314yescomplemented
521#14579134C2314yescomplemented
522#14579134C2314yescomplemented
523#14579134C2314yescomplemented
524#14579134C2314yescomplemented
525#14579134C2314yescomplemented
526#14579134C2312yescomplemented
527#14579134C2314yescomplemented
528#14579134C2314yescomplemented
529#14579134C2314yescomplemented
530#14579134C2314yescomplemented
531#14579133C2314yes—
532#14579133C2314yes—
533#14579133C2312yes—
534#14579133C2314yes—
535#14579133C2314yes—
536#14579133C2312yescomplemented
537#14579133C2314yescomplemented
538#14579133C2314yescomplemented
539#14579133C2314yescomplemented
540#14579133C2314yescomplemented
541#14579133C2314yescomplemented
542#14579133C2314yescomplemented
543#14579133C2314yescomplemented
544#14579133C2314yescomplemented
545#14579133C2314yescomplemented
546#14579133C2314yescomplemented
547#14579133C2314yescomplemented
548#14579132C2312yes—
549#14579132C2312yes—
550#14579132C2311yescharacteristic
551#14579132C2312yes—
552#14579132C2312yes—
553#14579132C2314yescomplemented
554#14579132C2314yescomplemented
555#14579132C2314yescomplemented
556#14579132C2312yescomplemented
557#14579132C2311yescharacteristic, complemented
558#14579132C2314yescomplemented
559#14579132C2314yescomplemented
560#14579131C2314yes—
561#14579131C2314yes—
562#14579131C2314yes—
563#14579131C2312yes—
564#14579131C2312yes—
565#14579131C2312yes—
566#14579130C2314yes—
567#14579130C2312yes—
568#14579129C2314yes—
569#14579129C2314yes—
570#14579129C2314yes—
571#14579129C2312yes—
572#14579129C2312yes—
573#14579129C2312yes—
574Q8×Dic79C2312yescomplemented
575C4×Dic158C2314yescomplemented
576C4×Dic158C2312yescomplemented
577#14579126C2312yescomplemented
578#14579126C2314yescomplemented
579C4×D316C2314yes—
580C4×D316C2312yes—
581C4×D316C2314yescomplemented
582C4×D316C2312yescomplemented
583C4×D316C2312yescomplemented
584D4×Dic79C2314yes—
585D4×Dic79C2312yes—
586D4×Dic79C2314yescomplemented
587D4×Dic79C2312yescomplemented
588D4×Dic79C2312yescomplemented
589#14579123C2314yes—
590#14579123C2312yes—
591#14579123C2314yescomplemented
592#14579123C2312yescomplemented
593#14579123C2312yescomplemented
594C4×C22⋊D79C2314yes—
595C4×C22⋊D79C2314yes—
596C4×C22⋊D79C2312yes—
597C4×C22⋊D79C2312yes—
598C4×C22⋊D79C2314yescomplemented
599C4×C22⋊D79C2314yescomplemented
600C4×C22⋊D79C2314yescomplemented
601C4×C22⋊D79C2312yescomplemented
602C4×C22⋊D79C2312yescomplemented
603(C22⋊D79)⋊C4C2314yes—
604(C22⋊D79)⋊C4C2314yes—
605(C22⋊D79)⋊C4C2312yes—
606(C22⋊D79)⋊C4C2312yes—
607(C22⋊D79)⋊C4C2314yescomplemented
608(C22⋊D79)⋊C4C2314yescomplemented
609(C22⋊D79)⋊C4C2314yescomplemented
610(C22⋊D79)⋊C4C2312yescomplemented
611(C22⋊D79)⋊C4C2312yescomplemented
612#14579120C2311yescharacteristic, complemented
613#14579119C2311yescharacteristic, complemented
614#14579119C2311yescharacteristic, complemented
615#14579118C2312yescomplemented
616#14579117C2312yescomplemented
617C2×C4⋊Dic79C2311yescharacteristic
618C2×C4⋊Dic79C2312yescomplemented
619C2×C4⋊Dic79C2312yescomplemented
620C2×C4⋊Dic79C2311yescharacteristic, complemented
621C2×Dic79⋊C4C2312yes—
622C2×Dic79⋊C4C2312yescomplemented
623C2×Dic79⋊C4C2312yescomplemented
624C2×Dic79⋊C4C2314yescomplemented
625C2×Dic79⋊C4C2312yescomplemented
626C4⋊C4×D79C2312yes—
627C4⋊C4×D79C2312yes—
628C4⋊C4×D79C2312yes—
629C4⋊C4×D79C2312yes—
630C4⋊C4×D79C2312yes—
631C4⋊C4×D79C2314yes—
632C4⋊C4×D79C2314yes—
633C4⋊C4×D79C2314yes—
634C4⋊C4×D79C2312yes—
635C4⋊C4×D79C2311yescharacteristic
636C4⋊C4×D79C2311yescharacteristic
637C4⋊C4×D79C2312yes—
638C4⋊C4×D79C2314yes—
639C4⋊C4×D79C2314yes—
640C4⋊C4×D79C2312yes—
641C4⋊C4×D79C2314yes—
642C4⋊C4×D79C2314yescomplemented
643C4⋊C4×D79C2314yescomplemented
644C4⋊C4×D79C2314yescomplemented
645C4⋊C4×D79C2312yescomplemented
646C4⋊C4×D79C2312yescomplemented
647C4⋊C4×D79C2312yescomplemented
648C4⋊C4×D79C2312yescomplemented
649C2×C22⋊Dic79C2312yes—
650C2×C22⋊Dic79C2314yes—
651C2×C22⋊Dic79C2312yes—
652C2×(C2×D79)⋊C4C2312yes—
653C2×(C2×D79)⋊C4C2312yes—
654C2×(C2×D79)⋊C4C2314yes—
655C2×(C2×D79)⋊C4C2314yes—
656C2×(C2×D79)⋊C4C2312yes—
657C2×(C2×D79)⋊C4C2312yes—
658C22⋊C4×D79C2314yes—
659C22⋊C4×D79C2314yes—
660C22⋊C4×D79C2314yes—
661C22⋊C4×D79C2314yes—
662C22⋊C4×D79C2314yes—
663C22⋊C4×D79C2314yes—
664C22⋊C4×D79C2314yes—
665C22⋊C4×D79C2314yes—
666C22⋊C4×D79C2312yes—
667C22⋊C4×D79C2314yes—
668C22⋊C4×D79C2314yes—
669C22⋊C4×D79C2314yes—
670C22⋊C4×D79C2314yes—
671C22⋊C4×D79C2314yes—
672C22⋊C4×D79C2314yes—
673C22⋊C4×D79C2312yes—
674C22⋊C4×D79C2312yes—
675C22⋊C4×D79C2314yes—
676C22⋊C4×D79C2312yes—
677C22⋊C4×D79C2314yes—
678C22⋊C4×D79C2314yes—
679C22⋊C4×D79C2312yes—
680C42×D79C2312yes—
681C42×D79C2314yes—
682C2×#41×C79C2311yescharacteristic, complemented
683C2×#41×C79C2314yescomplemented
684C2×#41×C79C2312yescomplemented
685C22×Q8×C79C2311yescharacteristic, complemented
686C22×D4×C79C2311yescharacteristic
687C22×D4×C79C2312yes—
688C23×C4×C79C2311yescharacteristic
689C4⋊Q8×C79C2312yescomplemented
690#126×C79C2314yescomplemented
691#125×C79C2314yescomplemented
692#124×C79C2314yescomplemented
693#124×C79C2314yescomplemented
694#124×C79C2312yescomplemented
695#123×C79C2314yescomplemented
696#123×C79C2314yescomplemented
697#123×C79C2314yescomplemented
698#123×C79C2314yescomplemented
699#123×C79C2312yescomplemented
700C22⋊Q8×C79C2312yes—
701C22⋊Q8×C79C2311yescharacteristic
702C22⋊Q8×C79C2314yes—
703C22⋊Q8×C79C2312yes—
704C22⋊Q8×C79C2314yescomplemented
705C22⋊Q8×C79C2314yescomplemented
706C22⋊Q8×C79C2312yescomplemented
707C22⋊Q8×C79C2312yescomplemented
708C22⋊Q8×C79C2314yescomplemented
709C22⋊Q8×C79C2311yescharacteristic, complemented
710C22⋊Q8×C79C2314yescomplemented
711C22⋊Q8×C79C2314yescomplemented
712C22⋊Q8×C79C2312yescomplemented
713#121×C79C2312yes—
714#121×C79C2312yes—
715#121×C79C2311yescharacteristic
716#121×C79C2312yes—
717#121×C79C2312yes—
718#121×C79C2311yescharacteristic, complemented
719#121×C79C2314yescomplemented
720#121×C79C2314yescomplemented
721#121×C79C2314yescomplemented
722#121×C79C2314yescomplemented
723#121×C79C2314yescomplemented
724#121×C79C2312yescomplemented
725#120×C79C2314yes—
726#120×C79C2312yes—
727C4×Q8×C79C2312yescomplemented
728C4×D4×C79C2314yes—
729C4×D4×C79C2312yes—
730C4×D4×C79C2314yescomplemented
731C4×D4×C79C2312yescomplemented
732C4×D4×C79C2312yescomplemented
733#117×C79C2311yescharacteristic, complemented
734C2×C4⋊C4×C79C2311yescharacteristic
735C2×C4⋊C4×C79C2312yescomplemented
736C2×C4⋊C4×C79C2312yescomplemented
737C2×C4⋊C4×C79C2311yescharacteristic, complemented
738C2×C22⋊C4×C79C2312yes—
739C2×C22⋊C4×C79C2314yes—
740C2×C22⋊C4×C79C2312yes—
741C23×D79—24no—
742C23×D79—24no—
743C23×D79—28no—
744C23×D79—42no—
745C23×D79—44no—
746C23×D79—44no—
747C23×D79C2411yescharacteristic
748C23×D79C2414yes—
749C23×D79C2412yes—
750C23×D79C2411yescharacteristic
751C23×D79C2411yescharacteristic
752C23×D79C2411yescharacteristic
753C23×D79C2411yescharacteristic
754C23×D79C2411yescharacteristic
755C23×D79C2414yes—
756C23×D79C2412yes—
757#11929625—44no—
758#11929625—42no—
759#11929625—48no—
760#11929624—48no—
761#11929624—48no—
762#11929624—48no—
763#11929624—48no—
764#11929624—44no—
765#11929624—42no—
766#11929624—44no—
767#11929623—48no—
768#11929623—48no—
769#11929623—48no—
770#11929623—48no—
771#11929623—44no—
772#11929623—42no—
773#11929623—44no—
774C2×Dic158—42no—
775C2×Dic158—44no—
776C2×Dic158C2414yes—
777C2×Dic158C2412yes—
778C2×Dic158C2414yes—
779C2×Dic158C2412yes—
780C2×Dic158C2412yes—
781C2×Dic158C2414yes—
782C2×Dic158C2414yes—
783C2×Dic158C2411yescharacteristic
784C2×Dic158C2414yes—
785Q8×D79—28no—
786Q8×D79—44no—
787Q8×D79—44no—
788Q8×D79—44no—
789Q8×D79—42no—
790Q8×D79—48no—
791C2×D316—42no—
792C2×D316—44no—
793C2×D316C2412yes—
794C2×D316C2414yes—
795C2×D316C2412yes—
796C2×D316C2412yes—
797C2×D316C2414yes—
798C2×D316C2412yes—
799C2×D316C2414yes—
800C2×D316C2411yescharacteristic
801C2×D316C2414yes—
802C2×D316C2412yes—
803C2×C22⋊D79—44no—
804C2×C22⋊D79—44no—
805C2×C22⋊D79—44no—
806C2×C22⋊D79C2412yes—
807C2×C22⋊D79C2412yes—
808C2×C22⋊D79C2414yes—
809C2×C22⋊D79C2414yes—
810C2×C22⋊D79C2414yes—
811C2×C22⋊D79C2412yes—
812C2×C22⋊D79C2412yes—
813C2×C22⋊D79C2414yes—
814C2×C22⋊D79C2414yes—
815C2×C22⋊D79C2412yes—
816C2×C22⋊D79C2412yes—
817C2×C22⋊D79C2414yes—
818C2×C22⋊D79C2414yes—
819C2×C22⋊D79C2412yes—
820C2×C22⋊D79C2414yes—
821C2×C22⋊D79C2414yes—
822C2×C22⋊D79C2414yes—
823D4×D79—28no—
824D4×D79—28no—
825D4×D79—216no—
826D4×D79—28no—
827D4×D79—44no—
828D4×D79—48no—
829D4×D79—48no—
830D4×D79—44no—
831D4×D79—44no—
832D4×D79—42no—
833D4×D79—48no—
834D4×D79—48no—
835D4×D79—44no—
836D4×D79—48no—
837C22×Dic79—42no—
838C22×Dic79C2411yescharacteristic
839C22×Dic79C2412yes—
840C22×Dic79C2412yes—
841C22×Dic79C2411yescharacteristic
842C22×Dic79C2411yescharacteristic
843C22×Dic79C2412yes—
844C22×Dic79C2414yes—
845C22×Dic79C2414yes—
846C22×Dic79C2414yes—
847C22×Dic79C2411yescharacteristic
848C22×Dic79C2412yes—
849C22×Dic79C2411yescharacteristic
850C22×Dic79C2411yescharacteristic
851C2×C4×D79—24no—
852C2×C4×D79—28no—
853C2×C4×D79—24no—
854C2×C4×D79—24no—
855C2×C4×D79—28no—
856C2×C4×D79—42no—
857C2×C4×D79—42no—
858C2×C4×D79—42no—
859C2×C4×D79—44no—
860C2×C4×D79—48no—
861C2×C4×D79—48no—
862C2×C4×D79—48no—
863C2×C4×D79—42no—
864C2×C4×D79—42no—
865C2×C4×D79—42no—
866C2×C4×D79—44no—
867C2×C4×D79—42no—
868C2×C4×D79—42no—
869C2×C4×D79—42no—
870C2×C4×D79C2412yes—
871C2×C4×D79C2414yes—
872C2×C4×D79C2411yescharacteristic
873C2×C4×D79C2414yes—
874C2×C4×D79C2412yes—
875C2×C4×D79C2411yescharacteristic
876C2×C4×D79C2414yes—
877C2×C4×D79C2411yescharacteristic
878C2×C4×D79C2411yescharacteristic
879C2×C4×D79C2414yes—
880C2×C4×D79C2412yes—
881C2×C4×D79C2412yes—
882C2×C4×D79C2411yescharacteristic
883C2×C4×D79C2411yescharacteristic
884C2×C4×D79C2412yes—
885C2×C4×D79C2411yescharacteristic
886C2×C4×D79C2411yescharacteristic
887C2×C4×D79C2411yescharacteristic
888C2×C4×D79C2414yes—
889C2×C4×D79C2414yes—
890C2×C4×D79C2414yes—
891C2×C4×D79C2414yes—
892C2×C4×D79C2414yes—
893C2×C4×D79C2414yes—
894C2×C4×D79C2414yes—
895C2×C4×D79C2411yescharacteristic
896C2×C4×D79C2411yescharacteristic
897C2×C4×D79C2414yes—
898C2×C4×D79C2411yescharacteristic
899C2×C4×D79C2411yescharacteristic
900C2×C4×D79C2411yescharacteristic
901C2×C4×D79C2411yescharacteristic
902C2×C4×D79C2411yescharacteristic
903C4⋊Dic79C2412yes—
904C4⋊Dic79C2412yes—
905C4⋊Dic79C2412yes—
906C4⋊Dic79C2414yes—
907C4⋊Dic79C2414yes—
908C4⋊Dic79C2414yes—
909C4⋊Dic79C2412yes—
910C4⋊Dic79C2411yescharacteristic
911C4⋊Dic79C2411yescharacteristic
912C4⋊Dic79C2412yes—
913C4⋊Dic79C2414yes—
914C4⋊Dic79C2414yes—
915C4⋊Dic79C2412yes—
916C4⋊Dic79C2414yes—
917Dic79⋊C4C2414yes—
918Dic79⋊C4C2414yes—
919Dic79⋊C4C2414yes—
920Dic79⋊C4C2414yes—
921Dic79⋊C4C2414yes—
922Dic79⋊C4C2414yes—
923Dic79⋊C4C2414yes—
924Dic79⋊C4C2414yes—
925Dic79⋊C4C2414yes—
926Dic79⋊C4C2414yes—
927Dic79⋊C4C2412yes—
928Dic79⋊C4C2412yes—
929Dic79⋊C4C2412yes—
930Dic79⋊C4C2412yes—
931Dic79⋊C4C2414yes—
932Dic79⋊C4C2414yes—
933Dic79⋊C4C2414yes—
934Dic79⋊C4C2414yes—
935Dic79⋊C4C2412yes—
936Dic79⋊C4C2412yes—
937Dic79⋊C4C2414yes—
938Dic79⋊C4C2414yes—
939C22⋊Dic79C2412yes—
940C22⋊Dic79C2414yes—
941C22⋊Dic79C2414yes—
942C22⋊Dic79C2414yes—
943C22⋊Dic79C2414yes—
944C22⋊Dic79C2414yes—
945C22⋊Dic79C2414yes—
946C22⋊Dic79C2412yes—
947C22⋊Dic79C2412yes—
948C22⋊Dic79C2414yes—
949C22⋊Dic79C2412yes—
950C22⋊Dic79C2414yes—
951C22⋊Dic79C2414yes—
952C22⋊Dic79C2412yes—
953(C2×D79)⋊C4C2412yes—
954(C2×D79)⋊C4C2414yes—
955(C2×D79)⋊C4C2412yes—
956(C2×D79)⋊C4C2414yes—
957(C2×D79)⋊C4C2414yes—
958(C2×D79)⋊C4C2414yes—
959(C2×D79)⋊C4C2414yes—
960(C2×D79)⋊C4C2414yes—
961(C2×D79)⋊C4C2414yes—
962(C2×D79)⋊C4C2414yes—
963(C2×D79)⋊C4C2414yes—
964(C2×D79)⋊C4C2414yes—
965(C2×D79)⋊C4C2414yes—
966(C2×D79)⋊C4C2414yes—
967(C2×D79)⋊C4C2412yes—
968(C2×D79)⋊C4C2412yes—
969(C2×D79)⋊C4C2412yes—
970(C2×D79)⋊C4C2414yes—
971(C2×D79)⋊C4C2412yes—
972(C2×D79)⋊C4C2414yes—
973(C2×D79)⋊C4C2414yes—
974(C2×D79)⋊C4C2412yes—
975(C2×D79)⋊C4C2414yes—
976(C2×D79)⋊C4C2412yes—
977(C2×D79)⋊C4C2412yes—
978(C2×D79)⋊C4C2414yes—
979(C2×D79)⋊C4C2414yes—
980(C2×D79)⋊C4C2412yes—
981C4×Dic79C2412yes—
982C4×Dic79C2412yes—
983C4×Dic79C2412yes—
984C4×Dic79C2414yes—
985C4×Dic79C2414yes—
986C4×Dic79C2414yes—
987C24×C79C2411yescharacteristic
988C24×C79C2412yes—
989#41×C79—42no—
990#41×C79—48no—
991#41×C79—44no—
992C2×Q8×C79—42no—
993C2×Q8×C79C2412yes—
994C2×Q8×C79C2412yes—
995C2×Q8×C79C2411yescharacteristic
996C2×Q8×C79C2414yes—
997C2×D4×C79—42no—
998C2×D4×C79—44no—
999C2×D4×C79C2412yes—
1000C2×D4×C79C2414yes—
1001C2×D4×C79C2412yes—
1002C2×D4×C79C2412yes—
1003C2×D4×C79C2412yes—
1004C2×D4×C79C2414yes—
1005C2×D4×C79C2414yes—
1006C2×D4×C79C2411yescharacteristic
1007C2×D4×C79C2412yes—
1008C2×D4×C79C2414yes—
1009C22×C4×C79—42no—
1010C22×C4×C79C2411yescharacteristic
1011C22×C4×C79C2412yes—
1012C22×C4×C79C2412yes—
1013C22×C4×C79C2411yescharacteristic
1014C22×C4×C79C2411yescharacteristic
1015C22×C4×C79C2412yes—
1016C22×C4×C79C2414yes—
1017C22×C4×C79C2414yes—
1018C22×C4×C79C2414yes—
1019C22×C4×C79C2411yescharacteristic
1020C22×C4×C79C2412yes—
1021C22×C4×C79C2411yescharacteristic
1022C22×C4×C79C2411yescharacteristic
1023C4⋊C4×C79C2412yes—
1024C4⋊C4×C79C2412yes—
1025C4⋊C4×C79C2412yes—
1026C4⋊C4×C79C2414yes—
1027C4⋊C4×C79C2414yes—
1028C4⋊C4×C79C2414yes—
1029C4⋊C4×C79C2412yes—
1030C4⋊C4×C79C2411yescharacteristic
1031C4⋊C4×C79C2411yescharacteristic
1032C4⋊C4×C79C2412yes—
1033C4⋊C4×C79C2414yes—
1034C4⋊C4×C79C2414yes—
1035C4⋊C4×C79C2412yes—
1036C4⋊C4×C79C2414yes—
1037C22⋊C4×C79C2412yes—
1038C22⋊C4×C79C2414yes—
1039C22⋊C4×C79C2414yes—
1040C22⋊C4×C79C2414yes—
1041C22⋊C4×C79C2414yes—
1042C22⋊C4×C79C2414yes—
1043C22⋊C4×C79C2414yes—
1044C22⋊C4×C79C2412yes—
1045C22⋊C4×C79C2412yes—
1046C22⋊C4×C79C2414yes—
1047C22⋊C4×C79C2412yes—
1048C22⋊C4×C79C2414yes—
1049C22⋊C4×C79C2414yes—
1050C22⋊C4×C79C2412yes—
1051C42×C79C2412yes—
1052C42×C79C2414yes—
1053C23×C79—22no—
1054C23×C79—22no—
1055C23×C79—24no—
1056C23×C79—41no—
1057C23×C79—42no—
1058C23×C79—42no—
1059C23×C79C2514yes—
1060C23×C79C2511yescharacteristic
1061C23×C79C2512yes—
1062C23×C79C2511yescharacteristic
1063C23×C79C2511yescharacteristic
1064C22×D79—22no—
1065C22×D79—22no—
1066C22×D79—22no—
1067C22×D79—22no—
1068C22×D79—22no—
1069C22×D79—22no—
1070C22×D79—24no—
1071C22×D79—22no—
1072C22×D79—24no—
1073C22×D79—24no—
1074C22×D79—28no—
1075C22×D79—28no—
1076C22×D79—22no—
1077C22×D79—22no—
1078C22×D79—22no—
1079C22×D79—24no—
1080C22×D79—22no—
1081C22×D79—22no—
1082C22×D79—22no—
1083C22×D79—28no—
1084C22×D79—28no—
1085C22×D79—41no—
1086C22×D79—41no—
1087C22×D79—41no—
1088C22×D79—416no—
1089C22×D79—44no—
1090C22×D79—44no—
1091C22×D79—42no—
1092C22×D79—42no—
1093C22×D79—816no—
1094C22×D79H(5,𝔽2)14yes—
1095C22×D792−1+414yes—
1096C22×D79C2514yes—
1097C22×D79C2511yescharacteristic
1098C22×D79C2512yes—
1099C22×D79C2511yescharacteristic
1100C22×D79C2511yescharacteristic
1101C22×D79C2511yescharacteristic
1102Q8×C79—24no—
1103Q8×C79—42no—
1104Q8×C79—41no—
1105Q8×C79—44no—
1106D4×C79—28no—
1107D4×C79—24no—
1108D4×C79—24no—
1109D4×C79—24no—
1110D4×C79—42no—
1111D4×C79—44no—
1112D4×C79—44no—
1113D4×C79—41no—
1114D4×C79—42no—
1115D4×C79—44no—
1116C2×C4×C79—24no—
1117C2×C4×C79—22no—
1118C2×C4×C79—22no—
1119C2×C4×C79—22no—
1120C2×C4×C79—24no—
1121C2×C4×C79—41no—
1122C2×C4×C79—41no—
1123C2×C4×C79—41no—
1124C2×C4×C79—42no—
1125C2×C4×C79—42no—
1126C2×C4×C79—44no—
1127C2×C4×C79—44no—
1128C2×C4×C79—44no—
1129C2×C4×C79C2512yes—
1130C2×C4×C79C2512yes—
1131C2×C4×C79C2514yes—
1132C2×C4×C79C2514yes—
1133C2×C4×C79C2511yescharacteristic
1134C2×C4×C79C2512yes—
1135C2×C4×C79C2514yes—
1136C2×C4×C79C2511yescharacteristic
1137C2×C4×C79C2511yescharacteristic
1138C2×C4×C79C2511yescharacteristic
1139C22⋊D79—28no—
1140C22⋊D79—24no—
1141C22⋊D79—24no—
1142C22⋊D79—28no—
1143C22⋊D79—24no—
1144C22⋊D79—24no—
1145C22⋊D79—28no—
1146C22⋊D79—44no—
1147C22⋊D79—44no—
1148C22⋊D79—44no—
1149C22⋊D79—44no—
1150C22⋊D79—44no—
1151C22⋊D79—44no—
1152C22⋊D79—44no—
1153C22⋊D79—42no—
1154C22⋊D79—42no—
1155C22⋊D79—42no—
1156C2×Dic79—24no—
1157C2×Dic79—22no—
1158C2×Dic79—22no—
1159C2×Dic79—22no—
1160C2×Dic79—24no—
1161C2×Dic79—41no—
1162C2×Dic79—41no—
1163C2×Dic79—41no—
1164C2×Dic79—42no—
1165C2×Dic79—42no—
1166C2×Dic79—44no—
1167C2×Dic79—44no—
1168C2×Dic79—44no—
1169C2×Dic79C2512yes—
1170C2×Dic79C2512yes—
1171C2×Dic79C2514yes—
1172C2×Dic79C2514yes—
1173C2×Dic79C2511yescharacteristic
1174C2×Dic79C2514yes—
1175C2×Dic79C2512yes—
1176C2×Dic79C2511yescharacteristic
1177C2×Dic79C2511yescharacteristic
1178C2×Dic79C2511yescharacteristic
1179D316—28no—
1180D316—24no—
1181D316—24no—
1182D316—24no—
1183D316—42no—
1184D316—44no—
1185D316—44no—
1186D316—41no—
1187D316—42no—
1188D316—44no—
1189C4×D79—22no—
1190C4×D79—24no—
1191C4×D79—22no—
1192C4×D79—28no—
1193C4×D79—22no—
1194C4×D79—28no—
1195C4×D79—28no—
1196C4×D79—24no—
1197C4×D79—28no—
1198C4×D79—24no—
1199C4×D79—22no—
1200C4×D79—22no—
1201C4×D79—22no—
1202C4×D79—24no—
1203C4×D79—22no—
1204C4×D79—22no—
1205C4×D79—22no—
1206C4×D79—24no—
1207C4×D79—41no—
1208C4×D79—41no—
1209C4×D79—41no—
1210C4×D79—41no—
1211C4×D79—41no—
1212C4×D79—41no—
1213C4×D79—44no—
1214C4×D79—44no—
1215C4×D79—44no—
1216C4×D79—44no—
1217C4×D79—44no—
1218C4×D79—44no—
1219C4×D79—44no—
1220C4×D79—44no—
1221C4×D79H(5,𝔽2)14yes—
1222Dic158—24no—
1223Dic158—28no—
1224Dic158—42no—
1225Dic158—44no—
1226Dic158—44no—
1227Dic158—44no—
1228Dic158—44no—
1229Dic158—42no—
1230Dic158—41no—
1231C22×C79—21no—
1232C22×C79—21no—
1233C22×C79—21no—
1234C22×C79—21no—
1235C22×C79—22no—
1236C22×C79—24no—
1237C22×C79—24no—
1238C22×C79—22no—
1239C22×C79—21no—
1240C22×C79—21no—
1241C22×C79—22no—
1242C22×C79—21no—
1243C22×C79—24no—
1244C22×C79—44no—
1245C22×C79—84no—
1246C22×C79C2×H(5,𝔽2)12yes—
1247C22×C79C2×2−1+412yes—
1248C22×C79C2611yescharacteristic
1249C2×D79—21no—
1250C2×D79—21no—
1251C2×D79—21no—
1252C2×D79—21no—
1253C2×D79—28no—
1254C2×D79—28no—
1255C2×D79—24no—
1256C2×D79—24no—
1257C2×D79—22no—
1258C2×D79—21no—
1259C2×D79—22no—
1260C2×D79—21no—
1261C2×D79—22no—
1262C2×D79—21no—
1263C2×D79—24no—
1264C2×D79—44no—
1265C2×D79—44no—
1266C2×D79—44no—
1267C2×D79—48no—
1268C2×D79—44no—
1269C2×D79—416no—
1270C2×D79—88no—
1271C2×D79—84no—
1272C2×D79C2×H(5,𝔽2)12yes—
1273C2×D79C2×H(5,𝔽2)12yes—
1274C2×D79C2×H(5,𝔽2)12yes—
1275C2×D79C2×2−1+412yes—
1276C2×D79C2×2−1+412yes—
1277C4×C79—21no—
1278C4×C79—24no—
1279C4×C79—21no—
1280C4×C79—22no—
1281C4×C79—21no—
1282C4×C79—24no—
1283C4×C79—22no—
1284C4×C79—24no—
1285C4×C79—22no—
1286C4×C79C2×H(5,𝔽2)12yes—
1287Dic79—24no—
1288Dic79—22no—
1289Dic79—21no—
1290Dic79—24no—
1291Dic79—24no—
1292Dic79—21no—
1293Dic79—22no—
1294Dic79—21no—
1295Dic79—22no—
1296Dic79C2×H(5,𝔽2)12yes—
1297C2×#3536—791nomaximal, Sylow
1298C2×C79—22no—
1299C2×C79—22no—
1300C2×C79—41no—
1301C2×C79—44no—
1302C2×C79—42no—
1303C2×C79C22×H(5,𝔽2)11yescharacteristic
1304C2×C79C22×H(5,𝔽2)11yescharacteristic
1305C2×C79C22×2−1+411yescharacteristic
1306D79—22no—
1307D79—22no—
1308D79—42no—
1309D79—41no—
1310D79—44no—
1311D79#353614yesdirect product factor
1312#3536—794no—
1313#3536—792no—
1314#3536—792no—
1315#3536—792no—
1316#3536—794no—
1317#3536—792no—
1318#3536—792no—
1319#3536—792no—
1320#3536—792no—
1321#3536—792no—
1322#3536—792no—
1323#3536—792no—
1324#3536—791no—
1325#3536—791no—
1326#3536—791no—
1327#3536D7911yescharacteristic, direct product factor
1328C2×#562—794no—
1329C2×#554—792no—
1330C2×#548—792no—
1331C2×#547—792no—
1332C2×#546—794no—
1333C2×#546—792no—
1334C2×#543—792no—
1335C2×#542—792no—
1336C2×#539—792no—
1337C2×#538—792no—
1338C2×#537—792no—
1339C2×#537—792no—
1340C2×#525—791no—
1341C22×C22⋊Q8—791no—
1342C22×#121—791no—
1343C79C2×#353611yescharacteristic, complemented, Sylow
1344C22×#41—791no—
1345C22×#41—794no—
1346C22×#41—792no—
1347C23×Q8—791no—
1348C23×D4—792no—
1349C23×D4—791no—
1350C24×C4—791no—
1351#562—794no—
1352#562—794no—
1353#562—794no—
1354#562—794no—
1355#562—794no—
1356#562—794no—
1357#562—794no—
1358#562—794no—
1359#562—794no—
1360#562—794no—
1361#562—794no—
1362#562—794no—
1363#562—794no—
1364#562—794no—
1365#562—794no—
1366#562C2×D7914yescomplemented
1367#554—792no—
1368#554—794no—
1369#554—794no—
1370#554—792no—
1371#554—794no—
1372#554—792no—
1373#554—792no—
1374#554—792no—
1375#554—794no—
1376#554—792no—
1377#554—792no—
1378#554C2×D7912yescomplemented
1379#548—792no—
1380#548—792no—
1381#548—794no—
1382#548—792no—
1383#548—792no—
1384#548—794no—
1385#548—792no—
1386#548—794no—
1387#548—792no—
1388#548—794no—
1389#548—792no—
1390#548C2×D7912yescomplemented
1391#547—794no—
1392#547—792no—
1393#547—794no—
1394#547—794no—
1395#547—794no—
1396#547—792no—
1397#547—792no—
1398#547—792no—
1399#547—792no—
1400#547—792no—
1401#547—792no—
1402#547C2×D7912yescomplemented
1403#546—794no—
1404#546—792no—
1405#546—794no—
1406#546—792no—
1407#546—794no—
1408#546—792no—
1409#546—794no—
1410#546—794no—
1411#546—794no—
1412#546—794no—
1413#546—792no—
1414#546—794no—
1415#546—794no—
1416#546—794no—
1417#546—794no—
1418#546—792no—
1419#546—794no—
1420#546—794no—
1421#546—794no—
1422#546—794no—
1423#546—792no—
1424#546—794no—
1425#546—792no—
1426#546—794no—
1427#546—794no—
1428#546—794no—
1429#546C2×D7914yescomplemented
1430#546C2×D7912yescomplemented
1431#543—792no—
1432#543—794no—
1433#543—792no—
1434#543—794no—
1435#543—794no—
1436#543—794no—
1437#543—794no—
1438#543—794no—
1439#543—792no—
1440#543C2×D7912yescomplemented
1441#542—792no—
1442#542—794no—
1443#542—794no—
1444#542—792no—
1445#542—794no—
1446#542—794no—
1447#542—792no—
1448#542—792no—
1449#542—792no—
1450#542—792no—
1451#542—792no—
1452#542C2×D7912yescomplemented
1453#539—794no—
1454#539—794no—
1455#539—794no—
1456#539—794no—
1457#539—794no—
1458#539—792no—
1459#539—792no—
1460#539—794no—
1461#539—792no—
1462#539C2×D7912yescomplemented
1463#538—794no—
1464#538—794no—
1465#538—794no—
1466#538—792no—
1467#538—792no—
1468#538—794no—
1469#538—794no—
1470#538—794no—
1471#538—792no—
1472#538C2×D7912yescomplemented
1473#537—794no—
1474#537—792no—
1475#537—792no—
1476#537—794no—
1477#537—794no—
1478#537—792no—
1479#537—792no—
1480#537—794no—
1481#537—792no—
1482#537—792no—
1483#537—794no—
1484#537—792no—
1485#537—794no—
1486#537—794no—
1487#537—794no—
1488#537—794no—
1489#537—792no—
1490#537—794no—
1491#537—792no—
1492#537—792no—
1493#537C2×D7912yescomplemented
1494#537C2×D7912yescomplemented
1495C2×C4⋊Q8—792no—
1496C2×#126—794no—
1497C2×#125—794no—
1498C2×#124—794no—
1499C2×#124—792no—
1500C2×#124—794no—
1501#525—791no—
1502#525—791no—
1503#525—792no—
1504#525—791no—
1505#525—791no—
1506#525—791no—
1507#525—791no—
1508#525—792no—
1509#525—792no—
1510#525—792no—
1511#525—791no—
1512#525C2×D7911yescharacteristic, complemented
1513C2×#123—792no—
1514C2×#123—794no—
1515C2×#123—794no—
1516C2×#123—794no—
1517C2×#123—794no—
1518C2×C22⋊Q8—791no—
1519C2×C22⋊Q8—791no—
1520C2×C22⋊Q8—792no—
1521C2×C22⋊Q8—792no—
1522C2×C22⋊Q8—792no—
1523C2×C22⋊Q8—792no—
1524C2×C22⋊Q8—791no—
1525C2×C22⋊Q8—794no—
1526C2×C22⋊Q8—792no—
1527C2×C22⋊Q8—792no—
1528C2×C22⋊Q8—792no—
1529C2×C22⋊Q8—792no—
1530C2×C22⋊Q8—791no—
1531C2×C22⋊Q8—794no—
1532C2×C22⋊Q8—794no—
1533C2×C22⋊Q8—792no—
1534C2×C22⋊Q8—794no—
1535C2×C22⋊Q8—794no—
1536C2×C22⋊Q8—794no—
1537C2×C22⋊Q8—792no—
1538C2×C22⋊Q8—791no—
1539C2×C22⋊Q8—792no—
1540C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1541C2×#121—791no—
1542C2×#121—792no—
1543C2×#121—791no—
1544C2×#121—792no—
1545C2×#121—792no—
1546C2×#121—792no—
1547C2×#121—792no—
1548C2×#121—792no—
1549C2×#121—792no—
1550C2×#121—792no—
1551C2×#121—792no—
1552C2×#121—791no—
1553C2×#121—791no—
1554C2×#121—794no—
1555C2×#121—792no—
1556C2×#121—794no—
1557C2×#121—794no—
1558C2×#121—794no—
1559C2×#121—794no—
1560C2×#121—791no—
1561C2×#121—792no—
1562C2×#121C2×D7911yescharacteristic, complemented
1563C2×#120—792no—
1564C2×#120—794no—
1565C2×C4×Q8—792no—
1566C2×C4×D4—792no—
1567C2×C4×D4—794no—
1568C2×C4×D4—792no—
1569C2×C4×D4—794no—
1570C2×C4×D4—792no—
1571C2×#117—791no—
1572C22×C4⋊C4—791no—
1573C22×C4⋊C4—792no—
1574C22×C4⋊C4—791no—
1575C22×C4⋊C4—792no—
1576C22×C22⋊C4—792no—
1577C22×C22⋊C4—792no—
1578C22×C22⋊C4—794no—
1579C25—792no—
1580C25—791no—
1581C2×#41—3168no—
1582C2×#41—31616no—
1583C2×#41—3164no—
1584C2×#41—791no—
1585C2×#41—794no—
1586C2×#41—792no—
1587C2×#41—791no—
1588C2×#41—792no—
1589C2×#41—794no—
1590C2×#41—794no—
1591C2×#41—794no—
1592C2×#41—792no—
1593C2×#41—794no—
1594C2×#41—791no—
1595C2×#41—792no—
1596C2×#41—794no—
1597C2×#41—794no—
1598C2×#41—794no—
1599C2×#41—792no—
1600C2×#41—794no—
1601C2×#41C22×D7911yescharacteristic, complemented
1602C2×#41C22×D7914yescomplemented
1603C2×#41C22×D7912yescomplemented
1604C22×Q8—3164no—
1605C22×Q8—791no—
1606C22×Q8—792no—
1607C22×Q8—794no—
1608C22×Q8—792no—
1609C22×Q8—792no—
1610C22×Q8—792no—
1611C22×Q8—791no—
1612C22×Q8—792no—
1613C22×Q8C22×D7911yescharacteristic, complemented
1614C22×D4—3168no—
1615C22×D4—3164no—
1616C22×D4—792no—
1617C22×D4—792no—
1618C22×D4—792no—
1619C22×D4—792no—
1620C22×D4—794no—
1621C22×D4—794no—
1622C22×D4—791no—
1623C22×D4—792no—
1624C22×D4—794no—
1625C22×D4—794no—
1626C22×D4—794no—
1627C22×D4—792no—
1628C22×D4—792no—
1629C22×D4—792no—
1630C22×D4—792no—
1631C22×D4—794no—
1632C22×D4—792no—
1633C22×D4—791no—
1634C22×D4—792no—
1635C22×D4C22×D7911yescharacteristic
1636C22×D4C22×D7912yes—
1637C23×C4—3164no—
1638C23×C4—791no—
1639C23×C4—791no—
1640C23×C4—792no—
1641C23×C4—792no—
1642C23×C4—794no—
1643C23×C4—794no—
1644C23×C4—791no—
1645C23×C4—794no—
1646C23×C4—791no—
1647C23×C4—791no—
1648C23×C4—791no—
1649C23×C4—791no—
1650C23×C4—791no—
1651C23×C4—791no—
1652C23×C4—791no—
1653C23×C4—792no—
1654C23×C4—791no—
1655C23×C4—792no—
1656C23×C4—791no—
1657C23×C4—791no—
1658C23×C4C22×D7911yescharacteristic
1659C4⋊Q8—794no—
1660C4⋊Q8—794no—
1661C4⋊Q8—792no—
1662C4⋊Q8—792no—
1663C4⋊Q8—792no—
1664C4⋊Q8C22×D7912yescomplemented
1665#126—794no—
1666#126—794no—
1667#126—794no—
1668#126—794no—
1669#126—794no—
1670#126—794no—
1671#126—794no—
1672#126C22×D7914yescomplemented
1673#125—794no—
1674#125—794no—
1675#125—794no—
1676#125—794no—
1677#125—794no—
1678#125—794no—
1679#125—794no—
1680#125C22×D7914yescomplemented
1681#124—794no—
1682#124—792no—
1683#124—794no—
1684#124—794no—
1685#124—792no—
1686#124—794no—
1687#124—794no—
1688#124—794no—
1689#124—794no—
1690#124—794no—
1691#124—794no—
1692#124—794no—
1693#124—794no—
1694#124—794no—
1695#124—794no—
1696#124—794no—
1697#124—794no—
1698#124—792no—
1699#124—794no—
1700#124C22×D7914yescomplemented
1701#124C22×D7912yescomplemented
1702#124C22×D7914yescomplemented
1703#123—792no—
1704#123—794no—
1705#123—794no—
1706#123—794no—
1707#123—794no—
1708#123—792no—
1709#123—794no—
1710#123—794no—
1711#123—794no—
1712#123—794no—
1713#123—792no—
1714#123—792no—
1715#123—794no—
1716#123—794no—
1717#123—794no—
1718#123—794no—
1719#123—794no—
1720#123—794no—
1721#123—794no—
1722#123—794no—
1723#123—792no—
1724#123—792no—
1725#123—792no—
1726#123—794no—
1727#123—794no—
1728#123—794no—
1729#123—794no—
1730#123—794no—
1731#123—794no—
1732#123—794no—
1733#123—794no—
1734#123—794no—
1735#123—794no—
1736#123—794no—
1737#123—794no—
1738#123C22×D7912yescomplemented
1739#123C22×D7914yescomplemented
1740#123C22×D7914yescomplemented
1741#123C22×D7914yescomplemented
1742#123C22×D7914yescomplemented
1743C22⋊Q8—792no—
1744C22⋊Q8—792no—
1745C22⋊Q8—792no—
1746C22⋊Q8—792no—
1747C22⋊Q8—791no—
1748C22⋊Q8—791no—
1749C22⋊Q8—794no—
1750C22⋊Q8—794no—
1751C22⋊Q8—792no—
1752C22⋊Q8—794no—
1753C22⋊Q8—794no—
1754C22⋊Q8—794no—
1755C22⋊Q8—794no—
1756C22⋊Q8—792no—
1757C22⋊Q8—792no—
1758C22⋊Q8—792no—
1759C22⋊Q8—792no—
1760C22⋊Q8—791no—
1761C22⋊Q8—791no—
1762C22⋊Q8—794no—
1763C22⋊Q8—794no—
1764C22⋊Q8—792no—
1765C22⋊Q8—794no—
1766C22⋊Q8—794no—
1767C22⋊Q8—794no—
1768C22⋊Q8—794no—
1769C22⋊Q8—794no—
1770C22⋊Q8—792no—
1771C22⋊Q8—794no—
1772C22⋊Q8—792no—
1773C22⋊Q8—794no—
1774C22⋊Q8—792no—
1775C22⋊Q8—794no—
1776C22⋊Q8—792no—
1777C22⋊Q8—792no—
1778C22⋊Q8—791no—
1779C22⋊Q8—792no—
1780C22⋊Q8—791no—
1781C22⋊Q8—794no—
1782C22⋊Q8—794no—
1783C22⋊Q8—794no—
1784C22⋊Q8—794no—
1785C22⋊Q8—794no—
1786C22⋊Q8—794no—
1787C22⋊Q8—794no—
1788C22⋊Q8—792no—
1789C22⋊Q8—794no—
1790C22⋊Q8—794no—
1791C22⋊Q8—794no—
1792C22⋊Q8—794no—
1793C22⋊Q8—794no—
1794C22⋊Q8—794no—
1795C22⋊Q8—794no—
1796C22⋊Q8—794no—
1797C22⋊Q8—794no—
1798C22⋊Q8—794no—
1799C22⋊Q8—794no—
1800C22⋊Q8—794no—
1801C22⋊Q8—794no—
1802C22⋊Q8—794no—
1803C22⋊Q8—794no—
1804C22⋊Q8—794no—
1805C22⋊Q8—792no—
1806C22⋊Q8—792no—
1807C22⋊Q8—794no—
1808C22⋊Q8—794no—
1809C22⋊Q8—794no—
1810C22⋊Q8—794no—
1811C22⋊Q8—794no—
1812C22⋊Q8—794no—
1813C22⋊Q8—794no—
1814C22⋊Q8—794no—
1815C22⋊Q8—794no—
1816C22⋊Q8—794no—
1817C22⋊Q8—794no—
1818C22⋊Q8—794no—
1819C22⋊Q8—794no—
1820C22⋊Q8C22×D7912yes—
1821C22⋊Q8C22×D7912yes—
1822C22⋊Q8C22×D7911yescharacteristic
1823C22⋊Q8C22×D7914yes—
1824C22⋊Q8C22×D7912yescomplemented
1825C22⋊Q8C22×D7912yescomplemented
1826C22⋊Q8C22×D7911yescharacteristic, complemented
1827C22⋊Q8C22×D7914yescomplemented
1828C22⋊Q8C22×D7914yescomplemented
1829C22⋊Q8C22×D7912yescomplemented
1830C22⋊Q8C22×D7914yescomplemented
1831C22⋊Q8C22×D7914yescomplemented
1832C22⋊Q8C22×D7914yescomplemented
1833#121—792no—
1834#121—794no—
1835#121—792no—
1836#121—794no—
1837#121—792no—
1838#121—794no—
1839#121—792no—
1840#121—794no—
1841#121—791no—
1842#121—792no—
1843#121—791no—
1844#121—792no—
1845#121—794no—
1846#121—794no—
1847#121—794no—
1848#121—792no—
1849#121—794no—
1850#121—794no—
1851#121—794no—
1852#121—794no—
1853#121—794no—
1854#121—794no—
1855#121—794no—
1856#121—794no—
1857#121—794no—
1858#121—794no—
1859#121—794no—
1860#121—794no—
1861#121—794no—
1862#121—792no—
1863#121—792no—
1864#121—792no—
1865#121—792no—
1866#121—791no—
1867#121—791no—
1868#121—794no—
1869#121—792no—
1870#121—794no—
1871#121—794no—
1872#121—794no—
1873#121—794no—
1874#121—792no—
1875#121—792no—
1876#121—792no—
1877#121—792no—
1878#121—791no—
1879#121—791no—
1880#121—794no—
1881#121—792no—
1882#121—794no—
1883#121—794no—
1884#121—794no—
1885#121—794no—
1886#121—794no—
1887#121—794no—
1888#121—794no—
1889#121—794no—
1890#121—792no—
1891#121—792no—
1892#121—794no—
1893#121—794no—
1894#121—794no—
1895#121—794no—
1896#121—794no—
1897#121—794no—
1898#121—794no—
1899#121—794no—
1900#121—794no—
1901#121—794no—
1902#121—794no—
1903#121C22×D7912yes—
1904#121C22×D7912yes—
1905#121C22×D7912yes—
1906#121C22×D7912yes—
1907#121C22×D7911yescharacteristic
1908#121C22×D7911yescharacteristic, complemented
1909#121C22×D7914yescomplemented
1910#121C22×D7912yescomplemented
1911#121C22×D7914yescomplemented
1912#121C22×D7914yescomplemented
1913#121C22×D7914yescomplemented
1914#121C22×D7914yescomplemented
1915#120—792no—
1916#120—794no—
1917#120—792no—
1918#120—792no—
1919#120—792no—
1920#120—794no—
1921#120—794no—
1922#120—794no—
1923#120—792no—
1924#120—792no—
1925#120—792no—
1926#120—794no—
1927#120—794no—
1928#120—794no—
1929#120C22×D7912yes—
1930#120C22×D7914yes—
1931C4×Q8—792no—
1932C4×Q8—794no—
1933C4×Q8—792no—
1934C4×Q8—794no—
1935C4×Q8—792no—
1936C4×Q8C22×D7912yescomplemented
1937C4×D4—792no—
1938C4×D4—792no—
1939C4×D4—794no—
1940C4×D4—794no—
1941C4×D4—792no—
1942C4×D4—792no—
1943C4×D4—792no—
1944C4×D4—792no—
1945C4×D4—792no—
1946C4×D4—794no—
1947C4×D4—794no—
1948C4×D4—794no—
1949C4×D4—794no—
1950C4×D4—794no—
1951C4×D4—792no—
1952C4×D4—792no—
1953C4×D4—794no—
1954C4×D4—794no—
1955C4×D4—792no—
1956C4×D4—792no—
1957C4×D4—792no—
1958C4×D4—792no—
1959C4×D4—792no—
1960C4×D4—794no—
1961C4×D4—794no—
1962C4×D4—794no—
1963C4×D4—794no—
1964C4×D4—794no—
1965C4×D4—792no—
1966C4×D4—792no—
1967C4×D4—794no—
1968C4×D4—794no—
1969C4×D4—792no—
1970C4×D4C22×D7912yes—
1971C4×D4C22×D7914yes—
1972C4×D4C22×D7912yescomplemented
1973C4×D4C22×D7914yescomplemented
1974C4×D4C22×D7912yescomplemented
1975#117—791no—
1976#117—791no—
1977#117—791no—
1978#117—792no—
1979#117—792no—
1980#117C22×D7911yescharacteristic, complemented
1981C2×C4⋊C4—792no—
1982C2×C4⋊C4—791no—
1983C2×C4⋊C4—792no—
1984C2×C4⋊C4—792no—
1985C2×C4⋊C4—792no—
1986C2×C4⋊C4—792no—
1987C2×C4⋊C4—791no—
1988C2×C4⋊C4—794no—
1989C2×C4⋊C4—792no—
1990C2×C4⋊C4—792no—
1991C2×C4⋊C4—792no—
1992C2×C4⋊C4—792no—
1993C2×C4⋊C4—792no—
1994C2×C4⋊C4—792no—
1995C2×C4⋊C4—794no—
1996C2×C4⋊C4—794no—
1997C2×C4⋊C4—794no—
1998C2×C4⋊C4—792no—
1999C2×C4⋊C4—794no—
2000C2×C4⋊C4—794no—
2001C2×C4⋊C4—792no—
2002C2×C4⋊C4—792no—
2003C2×C4⋊C4—794no—
2004C2×C4⋊C4—792no—
2005C2×C4⋊C4—792no—
2006C2×C4⋊C4—791no—
2007C2×C4⋊C4—791no—
2008C2×C4⋊C4—794no—
2009C2×C4⋊C4—792no—
2010C2×C4⋊C4—792no—
2011C2×C4⋊C4—794no—
2012C2×C4⋊C4—794no—
2013C2×C4⋊C4C22×D7911yescharacteristic
2014C2×C4⋊C4C22×D7912yescomplemented
2015C2×C4⋊C4C22×D7911yescharacteristic, complemented
2016C2×C4⋊C4C22×D7912yescomplemented
2017C2×C22⋊C4—792no—
2018C2×C22⋊C4—792no—
2019C2×C22⋊C4—794no—
2020C2×C22⋊C4—792no—
2021C2×C22⋊C4—792no—
2022C2×C22⋊C4—792no—
2023C2×C22⋊C4—792no—
2024C2×C22⋊C4—794no—
2025C2×C22⋊C4—794no—
2026C2×C22⋊C4—794no—
2027C2×C22⋊C4—792no—
2028C2×C22⋊C4—794no—
2029C2×C22⋊C4—794no—
2030C2×C22⋊C4—794no—
2031C2×C22⋊C4—794no—
2032C2×C22⋊C4—794no—
2033C2×C22⋊C4—794no—
2034C2×C22⋊C4—794no—
2035C2×C22⋊C4—794no—
2036C2×C22⋊C4—794no—
2037C2×C22⋊C4—794no—
2038C2×C22⋊C4—794no—
2039C2×C22⋊C4—794no—
2040C2×C22⋊C4—794no—
2041C2×C22⋊C4—792no—
2042C2×C22⋊C4—792no—
2043C2×C22⋊C4—794no—
2044C2×C22⋊C4—794no—
2045C2×C22⋊C4—792no—
2046C2×C22⋊C4—794no—
2047C2×C22⋊C4—792no—
2048C2×C22⋊C4C22×D7912yes—
2049C2×C22⋊C4C22×D7912yes—
2050C2×C22⋊C4C22×D7914yes—
2051C2×C42—792no—
2052C2×C42—794no—
2053C24—3162no—
2054C24—3164no—
2055C24—3164no—
2056C24—794no—
2057C24—792no—
2058C24—791no—
2059C24—791no—
2060C24—791no—
2061C24—791no—
2062C24—791no—
2063C24—791no—
2064C24—794no—
2065C24—792no—
2066C24—1584no—
2067C24—1584no—
2068C24—1588no—
2069C24C23×D7911yescharacteristic
2070C24C23×D7912yes—
2071#41—42no—
2072#41—48no—
2073#41—44no—
2074#41—3164no—
2075#41—3168no—
2076#41—3162no—
2077#41—3164no—
2078#41—3168no—
2079#41—3168no—
2080#41—3168no—
2081#41—3164no—
2082#41—3168no—
2083#41—3168no—
2084#41—3168no—
2085#41—3168no—
2086#41—3164no—
2087#41—3168no—
2088#41—3162no—
2089#41—3164no—
2090#41—3162no—
2091C2×Q8—42no—
2092C2×Q8—3162no—
2093C2×Q8—3164no—
2094C2×Q8—3164no—
2095C2×Q8—3164no—
2096C2×Q8—3164no—
2097C2×Q8—3162no—
2098C2×Q8—3168no—
2099C2×Q8—792no—
2100C2×Q8—791no—
2101C2×Q8—792no—
2102C2×Q8—794no—
2103C2×Q8—794no—
2104C2×Q8—794no—
2105C2×Q8—794no—
2106C2×Q8—794no—
2107C2×Q8—792no—
2108C2×Q8—1588no—
2109C2×Q8C23×D7912yes—
2110C2×Q8C23×D7911yescharacteristic
2111C2×Q8C23×D7912yes—
2112C2×Q8C23×D7914yes—
2113C2×D4—42no—
2114C2×D4—44no—
2115C2×D4—3162no—
2116C2×D4—3164no—
2117C2×D4—3168no—
2118C2×D4—3168no—
2119C2×D4—3164no—
2120C2×D4—3164no—
2121C2×D4—3164no—
2122C2×D4—3164no—
2123C2×D4—3168no—
2124C2×D4—3168no—
2125C2×D4—3164no—
2126C2×D4—3162no—
2127C2×D4—3168no—
2128C2×D4—3164no—
2129C2×D4—3164no—
2130C2×D4—794no—
2131C2×D4—792no—
2132C2×D4—792no—
2133C2×D4—794no—
2134C2×D4—794no—
2135C2×D4—794no—
2136C2×D4—792no—
2137C2×D4—794no—
2138C2×D4—794no—
2139C2×D4—794no—
2140C2×D4—792no—
2141C2×D4—792no—
2142C2×D4—792no—
2143C2×D4—792no—
2144C2×D4—794no—
2145C2×D4—794no—
2146C2×D4—794no—
2147C2×D4—792no—
2148C2×D4—794no—
2149C2×D4—794no—
2150C2×D4—791no—
2151C2×D4—792no—
2152C2×D4—794no—
2153C2×D4—792no—
2154C2×D4—792no—
2155C2×D4—794no—
2156C2×D4—792no—
2157C2×D4—1588no—
2158C2×D4—15816no—
2159C2×D4—1588no—
2160C2×D4—1588no—
2161C2×D4C23×D7912yes—
2162C2×D4C23×D7912yes—
2163C2×D4C23×D7914yes—
2164C2×D4C23×D7912yes—
2165C2×D4C23×D7912yes—
2166C2×D4C23×D7914yes—
2167C2×D4C23×D7914yes—
2168C2×D4C23×D7911yescharacteristic
2169C2×D4C23×D7912yes—
2170C2×D4C23×D7914yes—
2171C22×C4—42no—
2172C22×C4—3162no—
2173C22×C4—3162no—
2174C22×C4—3162no—
2175C22×C4—3162no—
2176C22×C4—3162no—
2177C22×C4—3162no—
2178C22×C4—3164no—
2179C22×C4—3164no—
2180C22×C4—3168no—
2181C22×C4—3168no—
2182C22×C4—3168no—
2183C22×C4—3162no—
2184C22×C4—3162no—
2185C22×C4—3162no—
2186C22×C4—3162no—
2187C22×C4—791no—
2188C22×C4—792no—
2189C22×C4—792no—
2190C22×C4—794no—
2191C22×C4—794no—
2192C22×C4—791no—
2193C22×C4—794no—
2194C22×C4—791no—
2195C22×C4—791no—
2196C22×C4—791no—
2197C22×C4—794no—
2198C22×C4—794no—
2199C22×C4—794no—
2200C22×C4—794no—
2201C22×C4—794no—
2202C22×C4—794no—
2203C22×C4—791no—
2204C22×C4—791no—
2205C22×C4—794no—
2206C22×C4—794no—
2207C22×C4—791no—
2208C22×C4—791no—
2209C22×C4—791no—
2210C22×C4—792no—
2211C22×C4—791no—
2212C22×C4—792no—
2213C22×C4—791no—
2214C22×C4—791no—
2215C22×C4—792no—
2216C22×C4—794no—
2217C22×C4—792no—
2218C22×C4—794no—
2219C22×C4—791no—
2220C22×C4—792no—
2221C22×C4—794no—
2222C22×C4—791no—
2223C22×C4—791no—
2224C22×C4—794no—
2225C22×C4—791no—
2226C22×C4—791no—
2227C22×C4—792no—
2228C22×C4—792no—
2229C22×C4—791no—
2230C22×C4—791no—
2231C22×C4—791no—
2232C22×C4—791no—
2233C22×C4—1584no—
2234C22×C4—1584no—
2235C22×C4—1584no—
2236C22×C4—1588no—
2237C22×C4—1588no—
2238C22×C4C23×D7912yes—
2239C22×C4C23×D7911yescharacteristic
2240C22×C4C23×D7912yes—
2241C22×C4C23×D7911yescharacteristic
2242C22×C4C23×D7911yescharacteristic
2243C22×C4C23×D7911yescharacteristic
2244C22×C4C23×D7912yes—
2245C22×C4C23×D7912yes—
2246C22×C4C23×D7914yes—
2247C22×C4C23×D7914yes—
2248C22×C4C23×D7911yescharacteristic
2249C22×C4C23×D7914yes—
2250C22×C4C23×D7911yescharacteristic
2251C4⋊C4—794no—
2252C4⋊C4—794no—
2253C4⋊C4—794no—
2254C4⋊C4—794no—
2255C4⋊C4—794no—
2256C4⋊C4—794no—
2257C4⋊C4—794no—
2258C4⋊C4—794no—
2259C4⋊C4—794no—
2260C4⋊C4—794no—
2261C4⋊C4—792no—
2262C4⋊C4—792no—
2263C4⋊C4—794no—
2264C4⋊C4—794no—
2265C4⋊C4—792no—
2266C4⋊C4—792no—
2267C4⋊C4—792no—
2268C4⋊C4—792no—
2269C4⋊C4—794no—
2270C4⋊C4—794no—
2271C4⋊C4—794no—
2272C4⋊C4—794no—
2273C4⋊C4—792no—
2274C4⋊C4—792no—
2275C4⋊C4—792no—
2276C4⋊C4—794no—
2277C4⋊C4—794no—
2278C4⋊C4—794no—
2279C4⋊C4—792no—
2280C4⋊C4—791no—
2281C4⋊C4—791no—
2282C4⋊C4—794no—
2283C4⋊C4—792no—
2284C4⋊C4—792no—
2285C4⋊C4—794no—
2286C4⋊C4—794no—
2287C4⋊C4C23×D7912yes—
2288C4⋊C4C23×D7912yes—
2289C4⋊C4C23×D7912yes—
2290C4⋊C4C23×D7914yes—
2291C4⋊C4C23×D7914yes—
2292C4⋊C4C23×D7914yes—
2293C4⋊C4C23×D7912yes—
2294C4⋊C4C23×D7911yescharacteristic
2295C4⋊C4C23×D7911yescharacteristic
2296C4⋊C4C23×D7912yes—
2297C4⋊C4C23×D7914yes—
2298C4⋊C4C23×D7914yes—
2299C4⋊C4C23×D7912yes—
2300C4⋊C4C23×D7914yes—
2301C22⋊C4—794no—
2302C22⋊C4—792no—
2303C22⋊C4—794no—
2304C22⋊C4—794no—
2305C22⋊C4—794no—
2306C22⋊C4—794no—
2307C22⋊C4—794no—
2308C22⋊C4—792no—
2309C22⋊C4—792no—
2310C22⋊C4—794no—
2311C22⋊C4—794no—
2312C22⋊C4—792no—
2313C22⋊C4—794no—
2314C22⋊C4—792no—
2315C22⋊C4—794no—
2316C22⋊C4—792no—
2317C22⋊C4—794no—
2318C22⋊C4—792no—
2319C22⋊C4—794no—
2320C22⋊C4—794no—
2321C22⋊C4—794no—
2322C22⋊C4—794no—
2323C22⋊C4—794no—
2324C22⋊C4—794no—
2325C22⋊C4—794no—
2326C22⋊C4—794no—
2327C22⋊C4—794no—
2328C22⋊C4—794no—
2329C22⋊C4—792no—
2330C22⋊C4—792no—
2331C22⋊C4—792no—
2332C22⋊C4—792no—
2333C22⋊C4—794no—
2334C22⋊C4—794no—
2335C22⋊C4—794no—
2336C22⋊C4—794no—
2337C22⋊C4—792no—
2338C22⋊C4—792no—
2339C22⋊C4—794no—
2340C22⋊C4—794no—
2341C22⋊C4—792no—
2342C22⋊C4—792no—
2343C22⋊C4C23×D7914yes—
2344C22⋊C4C23×D7912yes—
2345C22⋊C4C23×D7914yes—
2346C22⋊C4C23×D7914yes—
2347C22⋊C4C23×D7914yes—
2348C22⋊C4C23×D7914yes—
2349C22⋊C4C23×D7914yes—
2350C22⋊C4C23×D7912yes—
2351C22⋊C4C23×D7912yes—
2352C22⋊C4C23×D7912yes—
2353C22⋊C4C23×D7914yes—
2354C22⋊C4C23×D7914yes—
2355C22⋊C4C23×D7914yes—
2356C22⋊C4C23×D7912yes—
2357C42—792no—
2358C42—792no—
2359C42—792no—
2360C42—794no—
2361C42—794no—
2362C42—794no—
2363C42C23×D7912yes—
2364C42C23×D7914yes—
2365C23—22no—
2366C23—22no—
2367C23—24no—
2368C23—41no—
2369C23—42no—
2370C23—42no—
2371C23—3161no—
2372C23—3161no—
2373C23—3161no—
2374C23—3162no—
2375C23—3162no—
2376C23—3164no—
2377C23—3164no—
2378C23—31616no—
2379C23—791no—
2380C23—794no—
2381C23—794no—
2382C23—791no—
2383C23—791no—
2384C23—791no—
2385C23—794no—
2386C23—792no—
2387C23—63216no—
2388C23—1584no—
2389C23—1582no—
2390C23—1588no—
2391C23—1588no—
2392C23—1584no—
2393C23—1582no—
2394C23—1582no—
2395C23—1582no—
2396C23—1584no—
2397C23—1582no—
2398C23—1582no—
2399C23—1588no—
2400C23—1582no—
2401C23—1588no—
2402C23—1582no—
2403C23—1582no—
2404C23—1582no—
2405C23—1582no—
2406C23—1582no—
2407C23—1582no—
2408C23—1584no—
2409C23C24×D7911yescharacteristic
2410C23C24×D7914yes—
2411C23C24×D7912yes—
2412C23C24×D7911yescharacteristic
2413C23C24×D7911yescharacteristic
2414Q8—24no—
2415Q8—42no—
2416Q8—41no—
2417Q8—44no—
2418Q8—3162no—
2419Q8—3164no—
2420Q8—3161no—
2421Q8—3162no—
2422Q8—3164no—
2423Q8—3164no—
2424Q8—3164no—
2425Q8—1588no—
2426Q8—1584no—
2427D4—28no—
2428D4—24no—
2429D4—24no—
2430D4—24no—
2431D4—42no—
2432D4—44no—
2433D4—42no—
2434D4—41no—
2435D4—44no—
2436D4—44no—
2437D4—3162no—
2438D4—3164no—
2439D4—3164no—
2440D4—3162no—
2441D4—3161no—
2442D4—3164no—
2443D4—3164no—
2444D4—3164no—
2445D4—3164no—
2446D4—3162no—
2447D4—3162no—
2448D4—3162no—
2449D4—3164no—
2450D4—3164no—
2451D4—3164no—
2452D4—3164no—
2453D4—1588no—
2454D4—1584no—
2455D4—1584no—
2456D4—1588no—
2457D4—1588no—
2458D4—1584no—
2459D4—1584no—
2460D4—1588no—
2461D4—1584no—
2462D4—1584no—
2463D4—1584no—
2464C2×C4—24no—
2465C2×C4—22no—
2466C2×C4—22no—
2467C2×C4—22no—
2468C2×C4—24no—
2469C2×C4—41no—
2470C2×C4—41no—
2471C2×C4—41no—
2472C2×C4—42no—
2473C2×C4—42no—
2474C2×C4—44no—
2475C2×C4—44no—
2476C2×C4—44no—
2477C2×C4—3161no—
2478C2×C4—3161no—
2479C2×C4—3161no—
2480C2×C4—3161no—
2481C2×C4—3161no—
2482C2×C4—3161no—
2483C2×C4—3164no—
2484C2×C4—3164no—
2485C2×C4—3164no—
2486C2×C4—3164no—
2487C2×C4—3164no—
2488C2×C4—3164no—
2489C2×C4—3164no—
2490C2×C4—3164no—
2491C2×C4—3161no—
2492C2×C4—3161no—
2493C2×C4—3161no—
2494C2×C4—3162no—
2495C2×C4—3162no—
2496C2×C4—3164no—
2497C2×C4—3164no—
2498C2×C4—3164no—
2499C2×C4—791no—
2500C2×C4—794no—
2501C2×C4—792no—
2502C2×C4—794no—
2503C2×C4—792no—
2504C2×C4—794no—
2505C2×C4—791no—
2506C2×C4—792no—
2507C2×C4—794no—
2508C2×C4—791no—
2509C2×C4—791no—
2510C2×C4—1582no—
2511C2×C4—1582no—
2512C2×C4—1582no—
2513C2×C4—1584no—
2514C2×C4—1582no—
2515C2×C4—1582no—
2516C2×C4—1584no—
2517C2×C4—1588no—
2518C2×C4—1582no—
2519C2×C4—1588no—
2520C2×C4—1588no—
2521C2×C4—1584no—
2522C2×C4—1588no—
2523C2×C4—1584no—
2524C2×C4—1582no—
2525C2×C4—1582no—
2526C2×C4—1582no—
2527C2×C4—1584no—
2528C2×C4—1584no—
2529C2×C4—1582no—
2530C2×C4—1582no—
2531C2×C4—1582no—
2532C2×C4—1584no—
2533C2×C4C24×D7912yes—
2534C2×C4C24×D7912yes—
2535C2×C4C24×D7914yes—
2536C2×C4C24×D7914yes—
2537C2×C4C24×D7911yescharacteristic
2538C2×C4C24×D7912yes—
2539C2×C4C24×D7914yes—
2540C2×C4C24×D7911yescharacteristic
2541C2×C4C24×D7911yescharacteristic
2542C2×C4C24×D7911yescharacteristic
2543C22—21no—
2544C22—21no—
2545C22—21no—
2546C22—21no—
2547C22—21no—
2548C22—22no—
2549C22—22no—
2550C22—24no—
2551C22—24no—
2552C22—21no—
2553C22—22no—
2554C22—21no—
2555C22—24no—
2556C22—44no—
2557C22—84no—
2558C22—3164no—
2559C22—3164no—
2560C22—3164no—
2561C22—31616no—
2562C22—3168no—
2563C22—3164no—
2564C22—792no—
2565C22—792no—
2566C22—792no—
2567C22—792no—
2568C22—792no—
2569C22—6324no—
2570C22—6328no—
2571C22—1588no—
2572C22—1588no—
2573C22—1582no—
2574C22—1581no—
2575C22—1584no—
2576C22—1584no—
2577C22—1582no—
2578C22—1581no—
2579C22—1582no—
2580C22—1581no—
2581C22—1584no—
2582C22—1581no—
2583C22—1581no—
2584C22—1581no—
2585C22—1581no—
2586C22H(5,𝔽2)×D7912yes—
2587C222−1+4×D7912yes—
2588C22C25×D7911yescharacteristic
2589C4—21no—
2590C4—24no—
2591C4—21no—
2592C4—22no—
2593C4—21no—
2594C4—24no—
2595C4—22no—
2596C4—24no—
2597C4—22no—
2598C4—792no—
2599C4—1581no—
2600C4—1584no—
2601C4—1581no—
2602C4—1582no—
2603C4—1581no—
2604C4—1584no—
2605C4—1584no—
2606C4—1582no—
2607C4—1582no—
2608C4H(5,𝔽2)×D7912yes—
2609C2—22no—
2610C2—22no—
2611C2—41no—
2612C2—44no—
2613C2—42no—
2614C2—3161no—
2615C2—3164no—
2616C2—3162no—
2617C2—794no—
2618C2—1582no—
2619C2—1582no—
2620C2C2×H(5,𝔽2)×D7911yescharacteristic
2621C2C2×H(5,𝔽2)×D7911yescharacteristic
2622C2C2×2−1+4×D7911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3536C2
hypercenter#3536D79
hypocenterC79C2×#3536
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3536

Complements

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

NH ≅ G/Ntype
1. #23777629C2semidirect
2. #23777628C2semidirect
3. #23777627C2semidirect
4. #23777626C2semidirect
5. #23777625C2semidirect
6. #23777624C2semidirect
7. #23777623C2semidirect
8. #23777622C2semidirect
9. #23777621C2semidirect
10. #23777620C2semidirect
11. #23777619C2semidirect
12. #23777618C2semidirect
13. #23777617C2semidirect
14. #23777616C2semidirect
15. #23777615C2semidirect
16. #562×D79C2semidirect
17. #554×D79C2semidirect
18. #548×D79C2semidirect
19. #547×D79C2semidirect
20. #546×D79C2semidirect
21. #546×D79C2semidirect
22. #543×D79C2semidirect
23. #542×D79C2semidirect
24. #539×D79C2semidirect
25. #538×D79C2semidirect
26. #537×D79C2semidirect
27. #537×D79C2semidirect
28. #525×D79C2semidirect
29. C2×C22⋊Q8×D79C2semidirect
30. C2×#121×D79C2semidirect
31. C79×#3536C2semidirect
32. C2×#41×D79C22semidirect
33. C2×#41×D79C22semidirect
34. C2×#41×D79C22semidirect
35. C22×Q8×D79C22semidirect
39. #19099311C22semidirect
40. #19099310C22semidirect
41. #19099310C22semidirect
42. #19099310C22semidirect
43. #19099310C22semidirect
44. #19099309C22semidirect
45. #19099309C22semidirect
46. #19099309C22semidirect
47. #19099309C22semidirect
48. #19099308C22semidirect
49. #19099308C22semidirect
50. #19099308C22semidirect
51. #19099308C22semidirect
52. #19099307C22semidirect
53. #19099307C22semidirect
54. #19099274C22semidirect
55. #19099273C22semidirect
56. #19099272C22semidirect
57. #19099271C22semidirect
58. #19099271C22semidirect
59. #19099270C22semidirect
60. #19099269C22semidirect
61. #19099268C22semidirect
62. #19099268C22semidirect
63. #19099267C22semidirect
64. #19099267C22semidirect
65. #19099225C22semidirect
66. #19099224C22semidirect
67. #19099223C22semidirect
68. #19099223C22semidirect
69. #19099222C22semidirect
70. #19099222C22semidirect
71. #19099221C22semidirect
72. #19099221C22semidirect
73. #19099220C22semidirect
74. #19099219C22semidirect
75. #19099219C22semidirect
76. #19099218C22semidirect
77. #19099217C22semidirect
78. #19099216C22semidirect
79. #19099215C22semidirect
80. #19099214C22semidirect
81. #19099214C22semidirect
82. #19099213C22semidirect
83. #19099213C22semidirect
84. #19099212C22semidirect
85. #19099211C22semidirect
86. #19099211C22semidirect
87. #19099210C22semidirect
88. #19099210C22semidirect
89. #19099209C22semidirect
90. #19099209C22semidirect
91. #19099208C22semidirect
92. #19099208C22semidirect
93. #19099207C22semidirect
94. #19099207C22semidirect
95. #19099206C22semidirect
96. #19099206C22semidirect
97. #19099205C22semidirect
98. #19099205C22semidirect
99. #19099205C22semidirect
100. #19099204C22semidirect
101. #19099204C22semidirect
102. #19099203C22semidirect
103. #19099203C22semidirect
104. #19099203C22semidirect
105. #19099202C22semidirect
106. #19099202C22semidirect
107. #19099202C22semidirect
108. #19099201C22semidirect
109. #19099201C22semidirect
110. #19099200C22semidirect
111. #19099200C22semidirect
112. #19099200C22semidirect
113. #19099189C22semidirect
114. #19099189C22semidirect
115. #19099188C22semidirect
116. #19099188C22semidirect
117. #19099188C22semidirect
118. #19099188C22semidirect
119. #19099188C22semidirect
120. #19099188C22semidirect
121. #19099188C22semidirect
122. #19099187C22semidirect
123. #19099186C22semidirect
124. #19099185C22semidirect
125. #19099184C22semidirect
126. #19099183C22semidirect
127. #19099182C22semidirect
128. #19099181C22semidirect
129. #19099180C22semidirect
130. #19099179C22semidirect
131. #19099178C22semidirect
132. #19099177C22semidirect
133. #19099162C22semidirect
134. #19099161C22semidirect
135. #19099160C22semidirect
136. #19099159C22semidirect
137. #19099158C22semidirect
138. #19099157C22semidirect
139. #19099156C22semidirect
140. #19099155C22semidirect
141. #19099154C22semidirect
142. #19099153C22semidirect
143. #19099152C22semidirect
144. #19099151C22semidirect
145. #19099150C22semidirect
146. #19099149C22semidirect
147. #19099148C22semidirect
148. #19099147C22semidirect
149. #19099146C22semidirect
150. #19099145C22semidirect
151. #19099144C22semidirect
152. #19099144C22semidirect
153. #19099143C22semidirect
154. #19099143C22semidirect
155. #19099143C22semidirect
156. #19099143C22semidirect
157. #19099143C22semidirect
158. #19099142C22semidirect
159. #19099142C22semidirect
160. #19099142C22semidirect
161. #19099142C22semidirect
162. #19099142C22semidirect
163. #19099141C22semidirect
164. #19099141C22semidirect
165. #19099141C22semidirect
166. #19099140C22semidirect
167. #19099140C22semidirect
168. #19099140C22semidirect
169. #19099140C22semidirect
170. #19099140C22semidirect
171. C4⋊Q8×D79C22semidirect
172. #126×D79C22semidirect
173. #125×D79C22semidirect
174. #124×D79C22semidirect
175. #124×D79C22semidirect
176. #124×D79C22semidirect
177. #19099076C22semidirect
178. #19099076C22semidirect
179. #19099075C22semidirect
180. #19099074C22semidirect
181. #19099073C22semidirect
182. #19099073C22semidirect
183. #19099072C22semidirect
184. #19099072C22semidirect
185. #19099071C22semidirect
186. #19099070C22semidirect
187. #19099069C22semidirect
188. #123×D79C22semidirect
189. #123×D79C22semidirect
190. #123×D79C22semidirect
191. #123×D79C22semidirect
192. #123×D79C22semidirect
193. C2×#14579141C22semidirect
194. C2×#14579140C22semidirect
195. C2×#14579139C22semidirect
196. C2×#14579138C22semidirect
197. C2×#14579137C22semidirect
202. C22⋊Q8×D79C22semidirect
203. C22⋊Q8×D79C22semidirect
204. C22⋊Q8×D79C22semidirect
205. C22⋊Q8×D79C22semidirect
206. C22⋊Q8×D79C22semidirect
207. C22⋊Q8×D79C22semidirect
208. C22⋊Q8×D79C22semidirect
209. C22⋊Q8×D79C22semidirect
210. C22⋊Q8×D79C22semidirect
211. C22⋊Q8×D79C22semidirect
212. C22⋊Q8×D79C22semidirect
213. C22⋊Q8×D79C22semidirect
214. C22⋊Q8×D79C22semidirect
215. C2×#14579136C22semidirect
216. C2×#14579135C22semidirect
217. C2×#14579134C22semidirect
218. C2×#14579133C22semidirect
219. C2×#14579132C22semidirect
225. #121×D79C22semidirect
226. #121×D79C22semidirect
227. #121×D79C22semidirect
228. #121×D79C22semidirect
229. #121×D79C22semidirect
230. #121×D79C22semidirect
231. #121×D79C22semidirect
232. #121×D79C22semidirect
233. #121×D79C22semidirect
234. #121×D79C22semidirect
235. #121×D79C22semidirect
238. C4×Q8×D79C22semidirect
241. C4×D4×D79C22semidirect
242. C4×D4×D79C22semidirect
243. C4×D4×D79C22semidirect
244. #117×D79C22semidirect
246. C2×C4⋊C4×D79C22semidirect
247. C2×C4⋊C4×D79C22semidirect
248. C2×C4⋊C4×D79C22semidirect
252. #562×C79C22semidirect
253. #554×C79C22semidirect
254. #548×C79C22semidirect
255. #547×C79C22semidirect
256. #546×C79C22semidirect
257. #546×C79C22semidirect
258. #543×C79C22semidirect
259. #542×C79C22semidirect
260. #539×C79C22semidirect
261. #538×C79C22semidirect
262. #537×C79C22semidirect
263. #537×C79C22semidirect
264. #525×C79C22semidirect
265. C2×C22⋊Q8×C79C22semidirect
266. C2×#121×C79C22semidirect
269. C2×#11929625C23semidirect
270. C2×#11929625C23semidirect
271. C2×#11929625C23semidirect
272. C2×#11929624C23semidirect
273. C2×#11929624C23semidirect
274. C2×#11929624C23semidirect
275. C2×#11929624C23semidirect
276. C2×#11929624C23semidirect
277. C2×#11929624C23semidirect
278. C2×#11929624C23semidirect
279. C2×#11929623C23semidirect
280. C2×#11929623C23semidirect
281. C2×#11929623C23semidirect
282. C2×#11929623C23semidirect
283. C2×#11929623C23semidirect
284. C2×#11929623C23semidirect
285. C2×#11929623C23semidirect
289. C22×Dic158C23semidirect
290. C22×Dic158C23semidirect
296. C2×Q8×D79C23semidirect
297. C2×Q8×D79C23semidirect
340. #14579161C23semidirect
341. #14579160C23semidirect
342. #14579160C23semidirect
343. #14579160C23semidirect
344. #14579159C23semidirect
345. #14579156C23semidirect
346. #14579156C23semidirect
347. #14579156C23semidirect
348. #14579155C23semidirect
349. #14579154C23semidirect
350. #14579154C23semidirect
351. #14579154C23semidirect
352. #14579153C23semidirect
353. #14579152C23semidirect
354. #14579152C23semidirect
355. #14579151C23semidirect
356. #14579151C23semidirect
357. #14579151C23semidirect
358. #14579151C23semidirect
359. #14579150C23semidirect
360. #14579150C23semidirect
361. #14579150C23semidirect
362. #14579149C23semidirect
363. #14579149C23semidirect
364. #14579149C23semidirect
365. #14579148C23semidirect
366. #14579148C23semidirect
367. #14579148C23semidirect
368. #14579147C23semidirect
369. #14579147C23semidirect
370. #14579147C23semidirect
371. #14579147C23semidirect
372. #14579147C23semidirect
373. #14579147C23semidirect
374. #14579147C23semidirect
375. #14579147C23semidirect
376. #14579147C23semidirect
377. #14579147C23semidirect
378. #14579146C23semidirect
379. #14579146C23semidirect
380. #14579146C23semidirect
381. #14579146C23semidirect
382. #14579146C23semidirect
383. #14579146C23semidirect
384. #14579146C23semidirect
385. #14579146C23semidirect
386. #14579146C23semidirect
387. #14579146C23semidirect
388. #14579145C23semidirect
389. #14579145C23semidirect
390. #14579145C23semidirect
391. #14579145C23semidirect
392. #14579145C23semidirect
393. #14579144C23semidirect
394. #14579144C23semidirect
395. #14579144C23semidirect
396. #14579144C23semidirect
397. #14579144C23semidirect
398. #14579143C23semidirect
399. #14579143C23semidirect
400. #14579143C23semidirect
401. #14579143C23semidirect
402. #14579143C23semidirect
403. #14579143C23semidirect
404. #14579143C23semidirect
405. #14579143C23semidirect
406. #14579143C23semidirect
407. #14579143C23semidirect
408. #14579142C23semidirect
409. #14579142C23semidirect
410. #14579142C23semidirect
411. #14579142C23semidirect
412. #14579142C23semidirect
417. #14579141C23semidirect
418. #14579141C23semidirect
419. #14579141C23semidirect
420. #14579141C23semidirect
421. #14579141C23semidirect
422. #14579141C23semidirect
423. #14579141C23semidirect
424. #14579141C23semidirect
425. #14579141C23semidirect
430. #14579140C23semidirect
431. #14579140C23semidirect
432. #14579140C23semidirect
433. #14579140C23semidirect
434. #14579140C23semidirect
435. #14579140C23semidirect
436. #14579140C23semidirect
437. #14579140C23semidirect
438. #14579140C23semidirect
444. #14579139C23semidirect
445. #14579139C23semidirect
446. #14579139C23semidirect
447. #14579139C23semidirect
448. #14579139C23semidirect
449. #14579139C23semidirect
450. #14579139C23semidirect
451. #14579139C23semidirect
452. #14579139C23semidirect
453. #14579139C23semidirect
454. #14579139C23semidirect
455. #14579139C23semidirect
456. #14579139C23semidirect
457. #14579139C23semidirect
463. #14579138C23semidirect
464. #14579138C23semidirect
465. #14579138C23semidirect
466. #14579138C23semidirect
467. #14579138C23semidirect
468. #14579138C23semidirect
469. #14579138C23semidirect
470. #14579138C23semidirect
471. #14579138C23semidirect
472. #14579138C23semidirect
473. #14579138C23semidirect
474. #14579138C23semidirect
475. #14579138C23semidirect
476. #14579138C23semidirect
481. #14579137C23semidirect
482. #14579137C23semidirect
483. #14579137C23semidirect
484. #14579137C23semidirect
485. #14579137C23semidirect
486. #14579137C23semidirect
487. #14579137C23semidirect
488. #14579137C23semidirect
489. #14579137C23semidirect
495. #14579136C23semidirect
496. #14579136C23semidirect
497. #14579136C23semidirect
498. #14579136C23semidirect
499. #14579136C23semidirect
500. #14579136C23semidirect
501. #14579136C23semidirect
507. #14579135C23semidirect
508. #14579135C23semidirect
509. #14579135C23semidirect
510. #14579135C23semidirect
511. #14579135C23semidirect
512. #14579135C23semidirect
513. #14579135C23semidirect
519. #14579134C23semidirect
520. #14579134C23semidirect
521. #14579134C23semidirect
522. #14579134C23semidirect
523. #14579134C23semidirect
524. #14579134C23semidirect
525. #14579134C23semidirect
526. #14579134C23semidirect
527. #14579134C23semidirect
528. #14579134C23semidirect
529. #14579134C23semidirect
530. #14579134C23semidirect
536. #14579133C23semidirect
537. #14579133C23semidirect
538. #14579133C23semidirect
539. #14579133C23semidirect
540. #14579133C23semidirect
541. #14579133C23semidirect
542. #14579133C23semidirect
543. #14579133C23semidirect
544. #14579133C23semidirect
545. #14579133C23semidirect
546. #14579133C23semidirect
547. #14579133C23semidirect
553. #14579132C23semidirect
554. #14579132C23semidirect
555. #14579132C23semidirect
556. #14579132C23semidirect
557. #14579132C23semidirect
558. #14579132C23semidirect
559. #14579132C23semidirect
574. Q8×Dic79C23semidirect
575. C4×Dic158C23semidirect
576. C4×Dic158C23semidirect
577. #14579126C23semidirect
578. #14579126C23semidirect
581. C4×D316C23semidirect
582. C4×D316C23semidirect
583. C4×D316C23semidirect
586. D4×Dic79C23semidirect
587. D4×Dic79C23semidirect
588. D4×Dic79C23semidirect
591. #14579123C23semidirect
592. #14579123C23semidirect
593. #14579123C23semidirect
598. C4×C22⋊D79C23semidirect
599. C4×C22⋊D79C23semidirect
600. C4×C22⋊D79C23semidirect
601. C4×C22⋊D79C23semidirect
602. C4×C22⋊D79C23semidirect
607. (C22⋊D79)⋊C4C23semidirect
608. (C22⋊D79)⋊C4C23semidirect
609. (C22⋊D79)⋊C4C23semidirect
610. (C22⋊D79)⋊C4C23semidirect
611. (C22⋊D79)⋊C4C23semidirect
612. #14579120C23semidirect
613. #14579119C23semidirect
614. #14579119C23semidirect
615. #14579118C23semidirect
616. #14579117C23semidirect
618. C2×C4⋊Dic79C23semidirect
619. C2×C4⋊Dic79C23semidirect
620. C2×C4⋊Dic79C23semidirect
622. C2×Dic79⋊C4C23semidirect
623. C2×Dic79⋊C4C23semidirect
624. C2×Dic79⋊C4C23semidirect
625. C2×Dic79⋊C4C23semidirect
642. C4⋊C4×D79C23semidirect
643. C4⋊C4×D79C23semidirect
644. C4⋊C4×D79C23semidirect
645. C4⋊C4×D79C23semidirect
646. C4⋊C4×D79C23semidirect
647. C4⋊C4×D79C23semidirect
648. C4⋊C4×D79C23semidirect
682. C2×#41×C79C23semidirect
683. C2×#41×C79C23semidirect
684. C2×#41×C79C23semidirect
685. C22×Q8×C79C23semidirect
689. C4⋊Q8×C79C23semidirect
690. #126×C79C23semidirect
691. #125×C79C23semidirect
692. #124×C79C23semidirect
693. #124×C79C23semidirect
694. #124×C79C23semidirect
695. #123×C79C23semidirect
696. #123×C79C23semidirect
697. #123×C79C23semidirect
698. #123×C79C23semidirect
699. #123×C79C23semidirect
704. C22⋊Q8×C79C23semidirect
705. C22⋊Q8×C79C23semidirect
706. C22⋊Q8×C79C23semidirect
707. C22⋊Q8×C79C23semidirect
708. C22⋊Q8×C79C23semidirect
709. C22⋊Q8×C79C23semidirect
710. C22⋊Q8×C79C23semidirect
711. C22⋊Q8×C79C23semidirect
712. C22⋊Q8×C79C23semidirect
718. #121×C79C23semidirect
719. #121×C79C23semidirect
720. #121×C79C23semidirect
721. #121×C79C23semidirect
722. #121×C79C23semidirect
723. #121×C79C23semidirect
724. #121×C79C23semidirect
727. C4×Q8×C79C23semidirect
730. C4×D4×C79C23semidirect
731. C4×D4×C79C23semidirect
732. C4×D4×C79C23semidirect
733. #117×C79C23semidirect
735. C2×C4⋊C4×C79C23semidirect
736. C2×C4⋊C4×C79C23semidirect
737. C2×C4⋊C4×C79C23semidirect
1311. D79#3536direct (N × H)
1327. #3536D79direct (N × H)
1343. C79C2×#3536semidirect
1366. #562C2×D79semidirect
1378. #554C2×D79semidirect
1390. #548C2×D79semidirect
1402. #547C2×D79semidirect
1429. #546C2×D79semidirect
1430. #546C2×D79semidirect
1440. #543C2×D79semidirect
1452. #542C2×D79semidirect
1462. #539C2×D79semidirect
1472. #538C2×D79semidirect
1493. #537C2×D79semidirect
1494. #537C2×D79semidirect
1512. #525C2×D79semidirect
1540. C2×C22⋊Q8C2×D79semidirect
1562. C2×#121C2×D79semidirect
1601. C2×#41C22×D79semidirect
1602. C2×#41C22×D79semidirect
1603. C2×#41C22×D79semidirect
1613. C22×Q8C22×D79semidirect
1664. C4⋊Q8C22×D79semidirect
1672. #126C22×D79semidirect
1680. #125C22×D79semidirect
1700. #124C22×D79semidirect
1701. #124C22×D79semidirect
1702. #124C22×D79semidirect
1738. #123C22×D79semidirect
1739. #123C22×D79semidirect
1740. #123C22×D79semidirect
1741. #123C22×D79semidirect
1742. #123C22×D79semidirect
1824. C22⋊Q8C22×D79semidirect
1825. C22⋊Q8C22×D79semidirect
1826. C22⋊Q8C22×D79semidirect
1827. C22⋊Q8C22×D79semidirect
1828. C22⋊Q8C22×D79semidirect
1829. C22⋊Q8C22×D79semidirect
1830. C22⋊Q8C22×D79semidirect
1831. C22⋊Q8C22×D79semidirect
1832. C22⋊Q8C22×D79semidirect
1908. #121C22×D79semidirect
1909. #121C22×D79semidirect
1910. #121C22×D79semidirect
1911. #121C22×D79semidirect
1912. #121C22×D79semidirect
1913. #121C22×D79semidirect
1914. #121C22×D79semidirect
1936. C4×Q8C22×D79semidirect
1972. C4×D4C22×D79semidirect
1973. C4×D4C22×D79semidirect
1974. C4×D4C22×D79semidirect
1980. #117C22×D79semidirect
2014. C2×C4⋊C4C22×D79semidirect
2015. C2×C4⋊C4C22×D79semidirect
2016. C2×C4⋊C4C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237776292
#237776282
#237776272
#237776262
#237776252
#237776242
#237776232
#237776222
#237776212
#237776202
#237776192
#237776182
#237776172
#237776162
#237776152
#562×D792
#554×D792
#548×D792
#547×D792
#546×D792
#543×D792
#542×D792
#539×D792
#538×D792
#537×D792
#525×D792
C2×C22⋊Q8×D792
C2×#121×D792
C79×#35362
C2×#353679