Finite Group Databasebeta

← #35196123

Subgroups — #35196123

Order 20224.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777899C214yesmaximal, complemented
2#23777895C211yesmaximal, characteristic, complemented
3#23777889C212yesmaximal, complemented
4#23777876C212yesmaximal, complemented
5#23777872C212yesmaximal, complemented
6#23777859C212yesmaximal, complemented
7#23777851C214yesmaximal, complemented
8#23777842C212yesmaximal, complemented
9#23777830C212yesmaximal, complemented
10#23777811C211yesmaximal, characteristic, complemented
11#23777798C211yesmaximal, characteristic, complemented
12#23777695C214yesmaximal, complemented
13#23777689C214yesmaximal, complemented
14#23777546C214yesmaximal, complemented
15#23777021C212yesmaximal, complemented
16#23777019C212yesmaximal, complemented
17#23776996C212yesmaximal, complemented
18#23776992C212yesmaximal, complemented
19Q8×#11929625C212yesmaximal, complemented
20Q8×#11929623C212yesmaximal, complemented
21#23776826C214yesmaximal, complemented
22#23776824C214yesmaximal, complemented
23#23776787C214yesmaximal, complemented
24#23776697C211yesmaximal, characteristic, complemented
25#23776695C211yesmaximal, characteristic, complemented
26#533×D79C211yesmaximal, characteristic, complemented
27C79×#3550C211yesmaximal, characteristic, complemented
28C79⋊#564C2214yescomplemented
29#19099317C2214yescomplemented
30#19099315C2218yes—
31#19099315C2218yescomplemented
32#19099314C2218yescomplemented
33#19099312C2218yes—
34#19099310C2218yes—
35#19099309C2218yes—
36#19099307C2214yescomplemented
37#19099298C2212yescomplemented
38#19099296C2214yescomplemented
39#19099295C2214yescomplemented
40Q8×Dic158C2212yescomplemented
41#19099292C2212yescomplemented
42#19099292C2212yescomplemented
43#19099292C2214yescomplemented
44#19099291C2212yescomplemented
45#19099291C2212yescomplemented
46#19099288C2212yescomplemented
47#19099288C2212yescomplemented
48#19099288C2214yescomplemented
49#19099287C2214yes—
50#19099287C2212yescomplemented
51#19099286C2212yescomplemented
52#19099285C2214yescomplemented
53#19099282C2214yescomplemented
54#19099281C2214yes—
55#19099274C2214yes—
56#19099274C2218yes—
57#19099274C2212yescomplemented
58#19099274C2214yescomplemented
59#19099271C2214yes—
60#19099271C2218yes—
61#19099270C2212yescomplemented
62#19099270C2214yescomplemented
63#19099264C2218yes—
64#19099263C2214yes—
65#19099258C2218yes—
66#19099257C2214yes—
67#19099255C2214yes—
68#19099255C2218yescomplemented
69#19099254C2214yes—
70#19099249C2218yescomplemented
71#19099234C2212yescomplemented
72#19099233C2212yescomplemented
73Q8×D316C2214yes—
74Q8×D316C2212yescomplemented
75#19099228C2212yescomplemented
76Q8×C22⋊D79C2214yes—
77#19099224C2214yes—
78#19099223C2214yes—
79#19099221C2214yes—
80#19099221C2214yes—
81#19099218C2212yescomplemented
82#19099217C2214yes—
83#19099217C2212yescomplemented
84#19099215C2214yes—
85#19099191C2214yescomplemented
86#19099190C2214yescomplemented
87#19099187C2214yes—
88#19099186C2214yes—
89#19099186C2214yescomplemented
90#19099184C2214yes—
91#19099182C2214yes—
92#19099182C2218yes—
93#19099178C2214yescomplemented
94#19099177C2218yes—
95#19099175C2214yes—
96#19099174C2218yescomplemented
97#19099173C2214yes—
98#19099173C2214yes—
99#19099173C2214yescomplemented
100#19099171C2214yes—
101#19099171C2214yescomplemented
102#19099170C2218yescomplemented
103#19099166C2214yes—
104#19099164C2214yes—
105#19099159C2218yes—
106#19099159C2218yescomplemented
107#19099157C2218yes—
108#19099157C2218yescomplemented
109#19099156C2218yes—
110#19099154C2218yes—
111#19099149C2218yes—
112#19099147C2218yes—
113#19099142C2214yes—
114#19099141C2214yes—
115#19099137C2214yescomplemented
116#19099136C2214yes—
117#19099133C2214yescomplemented
118#19099120C2211yescharacteristic
119#19099120C2211yescharacteristic
120#19099119C2212yes—
121#19099118C2214yes—
122#19099118C2211yescharacteristic
123#19099118C2211yescharacteristic
124#19099118C2211yescharacteristic
125#19099118C2211yescharacteristic
126#19099118C2211yescharacteristic
127#19099118C2211yescharacteristic
128#19099118C2218yescomplemented
129#19099118C2214yescomplemented
130#19099117C2212yes—
131#19099117C2212yes—
132#19099116C2212yes—
133#19099115C2212yes—
134#19099115C2212yes—
135#19099115C2218yescomplemented
136#19099115C2214yescomplemented
137#19099114C2211yescharacteristic
138#19099114C2211yescharacteristic
139#19099113C2211yescharacteristic
140#19099112C2214yes—
141#19099111C2211yescharacteristic
142#19099111C2211yescharacteristic
143C4⋊Q8×D79C2211yescharacteristic
144C4⋊Q8×D79C2211yescharacteristic
145#19099100C2212yes—
146#19099100C2212yes—
147#19099099C2218yes—
148#19099099C2212yes—
149#19099099C2212yes—
150#19099099C2214yescomplemented
151#19099098C2212yes—
152#19099098C2212yes—
153#19099096C2218yes—
154#19099096C2218yescomplemented
155#19099095C2212yes—
156#19099095C2212yes—
157#19099094C2212yes—
158#19099094C2212yes—
159#19099092C2212yes—
160#19099092C2218yes—
161#19099092C2212yes—
162#19099092C2214yescomplemented
163#19099090C2218yes—
164#19099090C2218yescomplemented
165#125×D79C2212yes—
166#19099076C2212yes—
167#19099076C2212yes—
168#19099075C2212yes—
169#19099073C2212yes—
170#19099073C2212yes—
171#19099070C2212yes—
172C22⋊Q8×D79C2212yes—
173C22⋊Q8×D79C2212yes—
174#41×Dic79C2212yes—
175C4×#11929625C2214yes—
176C4×#11929625C2212yes—
177C4×#11929625C2212yes—
178#19099031C2212yes—
179#19099031C2214yescomplemented
180C4×#11929623C2214yes—
181C4×#11929623C2212yes—
182C4×#11929623C2212yes—
183C4×#11929623C2214yescomplemented
184C2×Q8×Dic79C2214yescomplemented
185C4×Q8×D79C2212yes—
186C4×Q8×D79C2212yes—
187C4×Q8×D79C2214yescomplemented
188#117×D79C2212yes—
189C2×C42×D79C2211yescharacteristic
190#563×C79C2214yescomplemented
191#559×C79C2212yescomplemented
192Q82×C79C2212yescomplemented
193#556×C79C2212yescomplemented
194#556×C79C2212yescomplemented
195D4×Q8×C79C2212yescomplemented
196D4×Q8×C79C2212yescomplemented
197#542×C79C2214yes—
198#542×C79C2214yes—
199#536×C79C2214yes—
200#533×C79C2211yescharacteristic
201#533×C79C2211yescharacteristic
202#532×C79C2211yescharacteristic
203C2×#11929625C2312yes—
204C2×#11929625C2312yes—
205C2×#11929624C2312yes—
206C2×#11929624C2314yes—
207C2×#11929623C2312yes—
208C2×#11929623C2314yes—
209C2×#11929623C2312yes—
210C2×Q8×D79C2314yes—
211C2×Q8×D79C2312yes—
212C2×Q8×D79C2312yes—
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216#14579161C2314yes—
217#14579161C2314yes—
218#14579161C2318yes—
219#14579161C2311yescharacteristic
220#14579161C2311yescharacteristic
221#14579161C2311yescharacteristic
222#14579161C2311yescharacteristic
223#14579161C2311yescharacteristic
224#14579160C2318yes—
225#14579160C2312yes—
226#14579160C2314yes—
227#14579160C2312yes—
228#14579160C2312yes—
229#14579160C2312yes—
230#14579159C2312yes—
231#14579159C2314yes—
232#14579159C2314yes—
233#14579159C2312yes—
234#14579159C2318yes—
235#14579158C2311yescharacteristic
236#14579157C2314yes—
237#14579156C2318yes—
238#14579156C2318yes—
239#14579156C2318yes—
240#14579156C2314yes—
241#14579156C2318yes—
242#14579156C2318yes—
243#14579156C2314yes—
244#14579155C2318yes—
245#14579155C2318yes—
246#14579154C2318yes—
247#14579154C2318yes—
248#14579154C2318yes—
249#14579154C2318yes—
250#14579154C2314yes—
251#14579154C2318yes—
252#14579154C2314yes—
253#14579153C2318yes—
254#14579153C2314yes—
255#14579153C2312yes—
256#14579153C2312yes—
257#14579152C2318yes—
258#14579152C2318yes—
259#14579152C2318yes—
260#14579152C2318yes—
261#14579152C2314yes—
262#14579152C2314yes—
263#14579152C2312yes—
264#14579152C2314yes—
265#14579152C2312yes—
266#14579152C2312yes—
267#14579152C2312yes—
268#14579152C2312yes—
269#14579152C2312yes—
270#14579151C2318yes—
271#14579151C2318yes—
272#14579151C2314yes—
273#14579151C2318yes—
274#14579151C2318yes—
275#14579151C2314yes—
276#14579151C2318yes—
277#14579151C2318yes—
278#14579151C2318yes—
279#14579150C2312yes—
280#14579150C2314yes—
281#14579150C2318yes—
282#14579150C2312yes—
283#14579149C2314yes—
284#14579149C2312yes—
285#14579148C2312yes—
286#14579148C2312yes—
287#14579147C2318yes—
288#14579147C2318yes—
289#14579147C2318yes—
290#14579147C2318yes—
291#14579146C2318yes—
292#14579146C2318yes—
293#14579146C2314yes—
294#14579146C2314yes—
295#14579145C2318yes—
296#14579145C2318yes—
297#14579145C2314yes—
298#14579145C2318yes—
299#14579144C2318yes—
300#14579144C2318yes—
301#14579143C2318yes—
302#14579143C2314yes—
303#14579143C2318yes—
304#14579143C2318yes—
305#14579143C2318yes—
306#14579143C2318yes—
307#14579143C2314yes—
308#14579142C2314yes—
309#14579141C2314yes—
310#14579141C2314yes—
311#14579141C2318yes—
312#14579141C2318yes—
313#14579141C2318yes—
314#14579141C2312yes—
315#14579141C2312yes—
316#14579141C2312yes—
317#14579141C2312yes—
318#14579141C2312yes—
319#14579141C2312yes—
320#14579140C2312yes—
321#14579140C2312yes—
322#14579140C2314yes—
323#14579140C2312yes—
324#14579140C2318yes—
325#14579140C2312yes—
326#14579139C2318yes—
327#14579139C2318yes—
328#14579139C2314yes—
329#14579139C2314yes—
330#14579138C2318yes—
331#14579138C2318yes—
332#14579138C2314yes—
333#14579138C2314yes—
334#14579138C2318yes—
335#14579138C2318yes—
336#14579138C2318yes—
337#14579137C2314yes—
338#14579137C2318yes—
339#14579137C2318yes—
340#14579137C2318yes—
341#14579137C2318yes—
342#14579137C2318yes—
343#14579137C2312yes—
344#14579137C2312yes—
345#14579137C2312yes—
346#14579137C2312yes—
347#14579137C2312yes—
348#14579137C2312yes—
349#14579136C2312yes—
350#14579136C2312yes—
351#14579136C2312yes—
352#14579136C2312yes—
353#14579135C2312yes—
354#14579135C2314yes—
355#14579135C2318yes—
356#14579135C2312yes—
357#14579134C2318yes—
358#14579134C2318yes—
359#14579134C2318yes—
360#14579134C2318yes—
361#14579133C2318yes—
362#14579133C2318yes—
363#14579132C2318yes—
364#14579132C2314yes—
365#14579132C2312yes—
366#14579132C2312yes—
367#14579132C2312yes—
368#14579132C2312yes—
369#14579131C2314yes—
370#14579129C2314yes—
371Q8×Dic79C2314yes—
372Q8×Dic79C2314yes—
373Q8×Dic79C2314yes—
374Q8×Dic79C2312yes—
375Q8×Dic79C2318yes—
376Q8×Dic79C2312yes—
377Q8×Dic79C2312yes—
378Q8×Dic79C2312yes—
379Q8×Dic79C2312yes—
380Q8×Dic79C2318yes—
381Q8×Dic79C2312yes—
382C4×Dic158C2318yes—
383C4×Dic158C2314yes—
384C4×Dic158C2314yes—
385C4×Dic158C2314yes—
386C4×Dic158C2312yes—
387C4×Dic158C2312yes—
388C4×Dic158C2312yes—
389C4×Dic158C2314yes—
390C4×Dic158C2314yes—
391C4×Dic158C2312yes—
392#14579126C2312yes—
393#14579126C2314yes—
394#14579126C2314yes—
395#14579126C2312yes—
396#14579126C2312yes—
397#14579126C2314yes—
398#14579126C2314yes—
399#14579126C2312yes—
400#14579126C2318yes—
401#14579126C2312yes—
402#14579126C2312yes—
403C4×D316C2318yes—
404C4×D316C2314yes—
405C4×D316C2314yes—
406C4×D316C2312yes—
407C4×D316C2314yes—
408C4×D316C2312yes—
409D4×Dic79C2314yes—
410D4×Dic79C2312yes—
411D4×Dic79C2314yes—
412D4×Dic79C2312yes—
413D4×Dic79C2312yes—
414D4×Dic79C2314yes—
415D4×Dic79C2312yes—
416#14579123C2318yes—
417#14579123C2312yes—
418#14579123C2314yes—
419#14579123C2314yes—
420#14579123C2314yes—
421#14579123C2312yes—
422#14579123C2312yes—
423#14579123C2312yes—
424#14579123C2314yes—
425C4×C22⋊D79C2318yes—
426C4×C22⋊D79C2318yes—
427C4×C22⋊D79C2314yes—
428C4×C22⋊D79C2314yes—
429(C22⋊D79)⋊C4C2318yes—
430(C22⋊D79)⋊C4C2314yes—
431(C22⋊D79)⋊C4C2318yes—
432(C22⋊D79)⋊C4C2314yes—
433(C22⋊D79)⋊C4C2314yes—
434(C22⋊D79)⋊C4C2318yes—
435(C22⋊D79)⋊C4C2314yes—
436(C22⋊D79)⋊C4C2318yes—
437#14579120C2314yes—
438#14579120C2312yes—
439#14579120C2312yes—
440#14579119C2314yes—
441#14579119C2314yes—
442#14579119C2312yes—
443#14579119C2312yes—
444#14579119C2312yes—
445#14579119C2312yes—
446#14579119C2312yes—
447#14579119C2312yes—
448#14579119C2318yes—
449#14579119C2314yes—
450#14579118C2314yes—
451#14579118C2314yes—
452#14579118C2318yes—
453#14579117C2318yes—
454#14579117C2314yes—
455#14579117C2314yes—
456#14579117C2318yes—
457#14579117C2314yes—
458C2×C4⋊Dic79C2314yes—
459C2×C4⋊Dic79C2318yes—
460C4⋊C4×D79C2314yes—
461C4⋊C4×D79C2312yes—
462C4⋊C4×D79C2318yes—
463C4⋊C4×D79C2312yes—
464C4⋊C4×D79C2312yes—
465C4⋊C4×D79C2314yes—
466C4⋊C4×D79C2312yes—
467C4⋊C4×D79C2314yes—
468C22⋊C4×D79C2314yes—
469C2×C4×Dic79C2311yescharacteristic
470C2×C4×Dic79C2311yescharacteristic
471C2×C4×Dic79C2311yescharacteristic
472C2×C4×Dic79C2314yes—
473C2×C4×Dic79C2318yes—
474C42×D79C2311yescharacteristic
475C42×D79C2311yescharacteristic
476C42×D79C2311yescharacteristic
477C42×D79C2311yescharacteristic
478C42×D79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2314yes—
483C42×D79C2314yes—
484C42×D79C2318yes—
485C2×#41×C79C2312yes—
486C22×Q8×C79C2314yes—
487C4⋊Q8×C79C2318yes—
488C4⋊Q8×C79C2314yes—
489C4⋊Q8×C79C2314yes—
490C4⋊Q8×C79C2311yescharacteristic
491C4⋊Q8×C79C2311yescharacteristic
492C4⋊Q8×C79C2311yescharacteristic
493C4⋊Q8×C79C2311yescharacteristic
494C4⋊Q8×C79C2311yescharacteristic
495#127×C79C2311yescharacteristic
496#126×C79C2318yes—
497#126×C79C2318yes—
498#125×C79C2312yes—
499#125×C79C2312yes—
500#124×C79C2318yes—
501#124×C79C2314yes—
502#124×C79C2314yes—
503#124×C79C2312yes—
504#123×C79C2318yes—
505#123×C79C2318yes—
506C22⋊Q8×C79C2312yes—
507C22⋊Q8×C79C2318yes—
508C22⋊Q8×C79C2318yes—
509C22⋊Q8×C79C2312yes—
510C22⋊Q8×C79C2312yes—
511C22⋊Q8×C79C2314yes—
512C22⋊Q8×C79C2312yes—
513C22⋊Q8×C79C2314yes—
514#121×C79C2312yes—
515#121×C79C2312yes—
516C4×Q8×C79C2314yes—
517C4×Q8×C79C2314yes—
518C4×Q8×C79C2312yes—
519C4×Q8×C79C2312yes—
520C4×Q8×C79C2312yes—
521C4×Q8×C79C2312yes—
522C4×D4×C79C2314yes—
523C4×D4×C79C2314yes—
524C4×D4×C79C2312yes—
525C4×D4×C79C2312yes—
526#117×C79C2312yes—
527#117×C79C2312yes—
528#117×C79C2314yes—
529C2×C42×C79C2311yescharacteristic
530C23×D79C2411yescharacteristic
531#11929625—28no—
532#11929625—44no—
533#11929624—48no—
534#11929624—44no—
535#11929623—28no—
536#11929623—44no—
537#11929623—48no—
538C2×Dic158C2412yes—
539C2×Dic158C2412yes—
540C2×Dic158C2412yes—
541C2×Dic158C2412yes—
542C2×Dic158C2414yes—
543C2×Dic158C2418yes—
544C2×Dic158C2414yes—
545C2×Dic158C2412yes—
546Q8×D79—48no—
547Q8×D79—44no—
548Q8×D79—44no—
549C2×D316C2412yes—
550C2×D316C2414yes—
551C2×D316C2412yes—
552C2×D316C2412yes—
553C2×D316C2414yes—
554C2×C22⋊D79C2414yes—
555C2×C22⋊D79C2414yes—
556C2×C22⋊D79C2418yes—
557C2×C22⋊D79C2414yes—
558C2×C22⋊D79C2418yes—
559C22×Dic79C2414yes—
560C22×Dic79C2411yescharacteristic
561C22×Dic79C2414yes—
562C22×Dic79C2418yes—
563C22×Dic79C2411yescharacteristic
564C22×Dic79C2411yescharacteristic
565C2×C4×D79—24no—
566C2×C4×D79—42no—
567C2×C4×D79—42no—
568C2×C4×D79C2411yescharacteristic
569C2×C4×D79C2411yescharacteristic
570C2×C4×D79C2414yes—
571C2×C4×D79C2411yescharacteristic
572C2×C4×D79C2411yescharacteristic
573C2×C4×D79C2414yes—
574C2×C4×D79C2411yescharacteristic
575C2×C4×D79C2411yescharacteristic
576C2×C4×D79C2411yescharacteristic
577C2×C4×D79C2414yes—
578C2×C4×D79C2414yes—
579C2×C4×D79C2418yes—
580C2×C4×D79C2418yes—
581C2×C4×D79C2414yes—
582C2×C4×D79C2411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584C2×C4×D79C2411yescharacteristic
585C2×C4×D79C2411yescharacteristic
586C2×C4×D79C2411yescharacteristic
587C4⋊Dic79C2412yes—
588C4⋊Dic79C2414yes—
589C4⋊Dic79C2412yes—
590C4⋊Dic79C2414yes—
591C4⋊Dic79C2412yes—
592C4⋊Dic79C2412yes—
593C4⋊Dic79C2412yes—
594C4⋊Dic79C2414yes—
595C4⋊Dic79C2418yes—
596C4⋊Dic79C2418yes—
597C4⋊Dic79C2418yes—
598C4⋊Dic79C2412yes—
599C4⋊Dic79C2412yes—
600C4⋊Dic79C2412yes—
601C4⋊Dic79C2414yes—
602C4⋊Dic79C2418yes—
603C4⋊Dic79C2412yes—
604C4⋊Dic79C2412yes—
605C4⋊Dic79C2414yes—
606C4⋊Dic79C2414yes—
607Dic79⋊C4C2414yes—
608Dic79⋊C4C2414yes—
609Dic79⋊C4C2414yes—
610Dic79⋊C4C2414yes—
611Dic79⋊C4C2414yes—
612Dic79⋊C4C2414yes—
613Dic79⋊C4C2418yes—
614Dic79⋊C4C2414yes—
615Dic79⋊C4C2418yes—
616Dic79⋊C4C2414yes—
617Dic79⋊C4C2414yes—
618Dic79⋊C4C2418yes—
619Dic79⋊C4C2418yes—
620Dic79⋊C4C2414yes—
621Dic79⋊C4C2414yes—
622Dic79⋊C4C2414yes—
623Dic79⋊C4C2418yes—
624Dic79⋊C4C2418yes—
625Dic79⋊C4C2414yes—
626Dic79⋊C4C2414yes—
627C22⋊Dic79C2414yes—
628C22⋊Dic79C2414yes—
629C22⋊Dic79C2418yes—
630C22⋊Dic79C2414yes—
631C22⋊Dic79C2414yes—
632C22⋊Dic79C2414yes—
633C22⋊Dic79C2414yes—
634(C2×D79)⋊C4C2414yes—
635(C2×D79)⋊C4C2414yes—
636(C2×D79)⋊C4C2414yes—
637(C2×D79)⋊C4C2418yes—
638(C2×D79)⋊C4C2414yes—
639(C2×D79)⋊C4C2414yes—
640(C2×D79)⋊C4C2414yes—
641(C2×D79)⋊C4C2414yes—
642(C2×D79)⋊C4C2414yes—
643(C2×D79)⋊C4C2418yes—
644(C2×D79)⋊C4C2414yes—
645(C2×D79)⋊C4C2414yes—
646(C2×D79)⋊C4C2418yes—
647(C2×D79)⋊C4C2418yes—
648(C2×D79)⋊C4C2414yes—
649(C2×D79)⋊C4C2414yes—
650C4×Dic79C2411yescharacteristic
651C4×Dic79C2414yes—
652C4×Dic79C2411yescharacteristic
653C4×Dic79C2411yescharacteristic
654C4×Dic79C2411yescharacteristic
655C4×Dic79C2414yes—
656C4×Dic79C2411yescharacteristic
657C4×Dic79C2411yescharacteristic
658C4×Dic79C2411yescharacteristic
659C4×Dic79C2411yescharacteristic
660C4×Dic79C2411yescharacteristic
661C4×Dic79C2411yescharacteristic
662C4×Dic79C2411yescharacteristic
663C4×Dic79C2411yescharacteristic
664C4×Dic79C2414yes—
665C4×Dic79C2414yes—
666C4×Dic79C2414yes—
667C4×Dic79C2414yes—
668C4×Dic79C2418yes—
669C4×Dic79C2414yes—
670C4×Dic79C2418yes—
671C4×Dic79C2414yes—
672C4×Dic79C2418yes—
673#41×C79—44no—
674C2×Q8×C79—48no—
675C2×Q8×C79C2412yes—
676C2×Q8×C79C2412yes—
677C2×Q8×C79C2412yes—
678C2×Q8×C79C2412yes—
679C2×Q8×C79C2418yes—
680C2×Q8×C79C2412yes—
681C2×D4×C79C2412yes—
682C2×D4×C79C2412yes—
683C2×D4×C79C2414yes—
684C2×D4×C79C2412yes—
685C22×C4×C79C2411yescharacteristic
686C22×C4×C79C2414yes—
687C22×C4×C79C2411yescharacteristic
688C22×C4×C79C2411yescharacteristic
689C22×C4×C79C2418yes—
690C4⋊C4×C79C2412yes—
691C4⋊C4×C79C2412yes—
692C4⋊C4×C79C2412yes—
693C4⋊C4×C79C2412yes—
694C4⋊C4×C79C2412yes—
695C4⋊C4×C79C2412yes—
696C4⋊C4×C79C2412yes—
697C4⋊C4×C79C2412yes—
698C4⋊C4×C79C2412yes—
699C4⋊C4×C79C2412yes—
700C4⋊C4×C79C2414yes—
701C4⋊C4×C79C2414yes—
702C4⋊C4×C79C2418yes—
703C4⋊C4×C79C2418yes—
704C4⋊C4×C79C2414yes—
705C4⋊C4×C79C2414yes—
706C22⋊C4×C79C2414yes—
707C22⋊C4×C79C2414yes—
708C22⋊C4×C79C2418yes—
709C22⋊C4×C79C2414yes—
710C22⋊C4×C79C2414yes—
711C22⋊C4×C79C2418yes—
712C22⋊C4×C79C2418yes—
713C42×C79C2411yescharacteristic
714C42×C79C2411yescharacteristic
715C42×C79C2411yescharacteristic
716C42×C79C2411yescharacteristic
717C42×C79C2414yes—
718C42×C79C2414yes—
719C42×C79C2418yes—
720C23×C79C2511yescharacteristic
721C23×C79C2514yes—
722C22×D79—22no—
723C22×D79—41no—
724C22×D79—41no—
725C22×D79C2511yescharacteristic
726C22×D79C2514yes—
727C22×D79C2511yescharacteristic
728Q8×C79—24no—
729Q8×C79—24no—
730Q8×C79—24no—
731Q8×C79—24no—
732Q8×C79—48no—
733Q8×C79—42no—
734D4×C79—24no—
735D4×C79—24no—
736D4×C79—42no—
737D4×C79—44no—
738C2×C4×C79—22no—
739C2×C4×C79—22no—
740C2×C4×C79—22no—
741C2×C4×C79—28no—
742C2×C4×C79—48no—
743C2×C4×C79C2514yes—
744C2×C4×C79C2514yes—
745C2×C4×C79C2514yes—
746C2×C4×C79C2511yescharacteristic
747C2×C4×C79C2514yes—
748C2×C4×C79C2511yescharacteristic
749C2×C4×C79C2511yescharacteristic
750C2×C4×C79C2514yes—
751C2×C4×C79C2511yescharacteristic
752C2×C4×C79C2511yescharacteristic
753C2×C4×C79C2511yescharacteristic
754C22⋊D79—28no—
755C22⋊D79—48no—
756C22⋊D79—44no—
757C22⋊D79—48no—
758C22⋊D79—44no—
759C2×Dic79—22no—
760C2×Dic79—28no—
761C2×Dic79—41no—
762C2×Dic79—41no—
763C2×Dic79—48no—
764C2×Dic79—44no—
765C2×Dic79C2511yescharacteristic
766C2×Dic79C2511yescharacteristic
767C2×Dic79C2514yes—
768C2×Dic79C2511yescharacteristic
769C2×Dic79C2511yescharacteristic
770C2×Dic79C2511yescharacteristic
771C2×Dic79C2514yes—
772C2×Dic79C2514yes—
773C2×Dic79C2514yes—
774C2×Dic79C2514yes—
775C2×Dic79C2511yescharacteristic
776D316—28no—
777D316—24no—
778D316—24no—
779D316—42no—
780D316—44no—
781C4×D79—22no—
782C4×D79—22no—
783C4×D79—22no—
784C4×D79—22no—
785C4×D79—22no—
786C4×D79—22no—
787C4×D79—28no—
788C4×D79—22no—
789C4×D79—28no—
790C4×D79—41no—
791C4×D79—41no—
792C4×D79—41no—
793C4×D79—41no—
794C4×D79—44no—
795C4×D79—44no—
796C4×D79—48no—
797C4×D79—48no—
798C4×D79—44no—
799C4×D792−1+414yes—
800Dic158—24no—
801Dic158—24no—
802Dic158—24no—
803Dic158—24no—
804Dic158—44no—
805Dic158—44no—
806Dic158—48no—
807Dic158—42no—
808C22×C79—24no—
809C22×C79—21no—
810C22×C79—21no—
811C22×C79—24no—
812C22×C79—24no—
813C22×C79—21no—
814C22×C79C2611yescharacteristic
815C2×D79—21no—
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—24no—
819C2×D79—21no—
820C2×D79—24no—
821C2×D79—24no—
822C2×D79—21no—
823C2×D79—44no—
824C2×D79C2×2−1+412yes—
825C4×C79—21no—
826C4×C79—24no—
827C4×C79—21no—
828C4×C79—24no—
829C4×C79—21no—
830C4×C79—24no—
831C4×C79—24no—
832C4×C79—24no—
833C4×C79C2×2−1+412yes—
834C4×C79#58512yes—
835C4×C79#58512yes—
836Dic79—24no—
837Dic79—21no—
838Dic79—24no—
839Dic79—24no—
840Dic79—24no—
841Dic79—24no—
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—21no—
846Dic79C2×2−1+412yes—
847#62761—791nomaximal, Sylow
848C2×C79—41no—
849C2×C79—44no—
850C2×C79C22×2−1+411yescharacteristic
851C2×C79C2×#58511yescharacteristic
852C2×C79C2×#58511yescharacteristic
853D79—22no—
854D79—44no—
855D79—41no—
856#3557—794no—
857#3556—791no—
858#3555—792no—
859#3555—792no—
860#3554—792no—
861#3554—792no—
862#3553—794no—
863#3552—792no—
864#3552—792no—
865#3550—791no—
866#3550D7911yescharacteristic, complemented
867#3548—791no—
868#3541—794no—
869#3541—794no—
870#3531—794no—
871#3482—792no—
872#3482—792no—
873#3480—792no—
874#3480—792no—
875Q8×#41—792no—
876Q8×#41—792no—
877#3461—794no—
878#3461—794no—
879#3455—794no—
880#3444—791no—
881#3444—791no—
882C2×#533—791no—
883C79#6276111yescharacteristic, complemented, Sylow
884#564—794no—
885#563—798no—
886#563—798no—
887#563—798no—
888#563—794no—
889#563—798no—
890#563C2×D7914yescomplemented
891#562—794no—
892#562—798no—
893#562—798no—
894#559—794no—
895#559—792no—
896#559—794no—
897#559C2×D7912yescomplemented
898Q82—792no—
899Q82C2×D7912yescomplemented
900#557—792no—
901#557—794no—
902#557—792no—
903#557—792no—
904#557—794no—
905#557—792no—
906#557—792no—
907#557—792no—
908#556—794no—
909#556—792no—
910#556—794no—
911#556—794no—
912#556—792no—
913#556—794no—
914#556C2×D7912yescomplemented
915#556C2×D7912yescomplemented
916#554—794no—
917#554—798no—
918#554—792no—
919#554—794no—
920#554—794no—
921#554—798no—
922#554—792no—
923#554—794no—
924#553—798no—
925#553—798no—
926#553—794no—
927#553—794no—
928#552—798no—
929#552—794no—
930#552—798no—
931#552—794no—
932#550—792no—
933#550—792no—
934D4×Q8—794no—
935D4×Q8—792no—
936D4×Q8—794no—
937D4×Q8—792no—
938D4×Q8C2×D7912yescomplemented
939D4×Q8C2×D7912yescomplemented
940#548—794no—
941#548—794no—
942#548—794no—
943#548—794no—
944#547—794no—
945#547—794no—
946#547—792no—
947#547—792no—
948#544—794no—
949#544—794no—
950#542—794no—
951#542—798no—
952#542—794no—
953#542—798no—
954#542—794no—
955#542—794no—
956#542—794no—
957#542—794no—
958#542C2×D7914yes—
959#542C2×D7914yes—
960#541—798no—
961#541—798no—
962#541—794no—
963#541—794no—
964#541—794no—
965#541—794no—
966#541—794no—
967#541—794no—
968#540—794no—
969#540—794no—
970#539—798no—
971#539—798no—
972#539—798no—
973#539—798no—
974#539—798no—
975#539—798no—
976#538—798no—
977#538—798no—
978#537—794no—
979#537—794no—
980#536—794no—
981#536—794no—
982#536—794no—
983#536C2×D7914yes—
984#533—791no—
985#533—791no—
986#533—791no—
987#533—791no—
988#533—791no—
989#533—791no—
990#533—794no—
991#533—794no—
992#533—798no—
993#533—792no—
994#533—792no—
995#533—792no—
996#533—794no—
997#533—798no—
998#533—792no—
999#533—792no—
1000#533—792no—
1001#533—791no—
1002#533—791no—
1003#533C2×D7911yescharacteristic
1004#533C2×D7911yescharacteristic
1005#532—791no—
1006#532—791no—
1007#532—791no—
1008#532—791no—
1009#532—794no—
1010#532—791no—
1011#532C2×D7911yescharacteristic
1012C2×C4⋊Q8—791no—
1013C2×C4⋊Q8—791no—
1014#529—798no—
1015#529—798no—
1016#529—792no—
1017#529—792no—
1018#529—792no—
1019#529—792no—
1020#529—798no—
1021#529—794no—
1022#529—798no—
1023#529—798no—
1024#529—792no—
1025#529—792no—
1026#529—798no—
1027#529—794no—
1028#529—792no—
1029#529—792no—
1030#529—792no—
1031#529—792no—
1032#529—792no—
1033#529—792no—
1034C2×#125—792no—
1035#525—792no—
1036#525—792no—
1037#525—792no—
1038#525—792no—
1039#525—792no—
1040#525—792no—
1041C2×C22⋊Q8—792no—
1042C2×C22⋊Q8—792no—
1043C4×#41—792no—
1044C4×#41—792no—
1045C4×#41—792no—
1046C4×#41—794no—
1047C4×#41—792no—
1048C4×#41—792no—
1049C4×#41—794no—
1050C4×#41—794no—
1051C4×#41—792no—
1052C4×#41—794no—
1053C2×C4×Q8—794no—
1054C2×C4×Q8—792no—
1055C2×C4×Q8—792no—
1056C2×C4×Q8—794no—
1057C2×#117—792no—
1058C22×C42—791no—
1059C2×#41—792no—
1060C2×#41—792no—
1061C2×#41—792no—
1062C2×#41—794no—
1063C2×#41—792no—
1064C2×#41—792no—
1065C2×#41—794no—
1066C2×#41C22×D7912yes—
1067C22×Q8—792no—
1068C22×Q8—792no—
1069C22×Q8—794no—
1070C22×Q8C22×D7914yes—
1071C23×C4—791no—
1072C23×C4—791no—
1073C23×C4—791no—
1074C4⋊Q8—792no—
1075C4⋊Q8—792no—
1076C4⋊Q8—794no—
1077C4⋊Q8—794no—
1078C4⋊Q8—798no—
1079C4⋊Q8—792no—
1080C4⋊Q8—792no—
1081C4⋊Q8—792no—
1082C4⋊Q8—792no—
1083C4⋊Q8—798no—
1084C4⋊Q8—794no—
1085C4⋊Q8—791no—
1086C4⋊Q8—791no—
1087C4⋊Q8—791no—
1088C4⋊Q8—791no—
1089C4⋊Q8—791no—
1090C4⋊Q8—794no—
1091C4⋊Q8—794no—
1092C4⋊Q8—798no—
1093C4⋊Q8C22×D7911yescharacteristic
1094C4⋊Q8C22×D7911yescharacteristic
1095C4⋊Q8C22×D7911yescharacteristic
1096C4⋊Q8C22×D7911yescharacteristic
1097C4⋊Q8C22×D7911yescharacteristic
1098C4⋊Q8C22×D7918yes—
1099C4⋊Q8C22×D7914yes—
1100C4⋊Q8C22×D7914yes—
1101#127—794no—
1102#127—791no—
1103#127C22×D7911yescharacteristic
1104#126—794no—
1105#126—794no—
1106#126—798no—
1107#126—798no—
1108#126—798no—
1109#126—798no—
1110#126—798no—
1111#126—794no—
1112#126—794no—
1113#126—798no—
1114#126—798no—
1115#126—798no—
1116#126—798no—
1117#126—798no—
1118#126—798no—
1119#126—798no—
1120#126C22×D7918yes—
1121#126C22×D7918yes—
1122#125—794no—
1123#125—794no—
1124#125—792no—
1125#125—792no—
1126#125—792no—
1127#125—792no—
1128#125—792no—
1129#125—792no—
1130#125—798no—
1131#125—798no—
1132#125—798no—
1133#125—798no—
1134#125—798no—
1135#125—794no—
1136#125—798no—
1137#125—798no—
1138#125—798no—
1139#125—798no—
1140#125—798no—
1141#125—798no—
1142#125—794no—
1143#125—794no—
1144#125—792no—
1145#125—792no—
1146#125—798no—
1147#125—794no—
1148#125C22×D7912yes—
1149#125C22×D7912yes—
1150#124—792no—
1151#124—792no—
1152#124—794no—
1153#124—798no—
1154#124—792no—
1155#124—792no—
1156#124—798no—
1157#124—798no—
1158#124—798no—
1159#124—798no—
1160#124—792no—
1161#124—794no—
1162#124C22×D7912yes—
1163#124C22×D7914yes—
1164#124C22×D7918yes—
1165#124C22×D7914yes—
1166#123—794no—
1167#123—798no—
1168#123—798no—
1169#123—794no—
1170#123—794no—
1171#123—798no—
1172#123—798no—
1173#123—794no—
1174#123—794no—
1175#123—794no—
1176#123—798no—
1177#123—798no—
1178#123—798no—
1179#123—798no—
1180#123—798no—
1181#123—798no—
1182#123—798no—
1183#123—798no—
1184#123C22×D7918yes—
1185#123C22×D7918yes—
1186C22⋊Q8—792no—
1187C22⋊Q8—792no—
1188C22⋊Q8—792no—
1189C22⋊Q8—792no—
1190C22⋊Q8—792no—
1191C22⋊Q8—792no—
1192C22⋊Q8—798no—
1193C22⋊Q8—794no—
1194C22⋊Q8—798no—
1195C22⋊Q8—798no—
1196C22⋊Q8—798no—
1197C22⋊Q8—798no—
1198C22⋊Q8—792no—
1199C22⋊Q8—792no—
1200C22⋊Q8—792no—
1201C22⋊Q8—792no—
1202C22⋊Q8—794no—
1203C22⋊Q8—798no—
1204C22⋊Q8—792no—
1205C22⋊Q8—792no—
1206C22⋊Q8—794no—
1207C22⋊Q8—794no—
1208C22⋊Q8—792no—
1209C22⋊Q8—792no—
1210C22⋊Q8—792no—
1211C22⋊Q8—792no—
1212C22⋊Q8—798no—
1213C22⋊Q8—798no—
1214C22⋊Q8—794no—
1215C22⋊Q8—794no—
1216C22⋊Q8—798no—
1217C22⋊Q8—798no—
1218C22⋊Q8—798no—
1219C22⋊Q8—794no—
1220C22⋊Q8—794no—
1221C22⋊Q8—798no—
1222C22⋊Q8—798no—
1223C22⋊Q8—798no—
1224C22⋊Q8—798no—
1225C22⋊Q8—798no—
1226C22⋊Q8C22×D7912yes—
1227C22⋊Q8C22×D7912yes—
1228C22⋊Q8C22×D7912yes—
1229C22⋊Q8C22×D7912yes—
1230C22⋊Q8C22×D7914yes—
1231C22⋊Q8C22×D7918yes—
1232C22⋊Q8C22×D7914yes—
1233C22⋊Q8C22×D7918yes—
1234#121—792no—
1235#121—792no—
1236#121—792no—
1237#121—792no—
1238#121—798no—
1239#121—798no—
1240#121—798no—
1241#121—794no—
1242#121—792no—
1243#121—792no—
1244#121—794no—
1245#121—798no—
1246#121—792no—
1247#121—792no—
1248#121—792no—
1249#121—792no—
1250#121—798no—
1251#121—798no—
1252#121—798no—
1253#121—798no—
1254#121C22×D7912yes—
1255#121C22×D7912yes—
1256#120—794no—
1257#120—794no—
1258C4×Q8—792no—
1259C4×Q8—792no—
1260C4×Q8—792no—
1261C4×Q8—798no—
1262C4×Q8—794no—
1263C4×Q8—794no—
1264C4×Q8—798no—
1265C4×Q8—792no—
1266C4×Q8—792no—
1267C4×Q8—792no—
1268C4×Q8—794no—
1269C4×Q8—792no—
1270C4×Q8—792no—
1271C4×Q8—792no—
1272C4×Q8—794no—
1273C4×Q8—794no—
1274C4×Q8—798no—
1275C4×Q8—792no—
1276C4×Q8—792no—
1277C4×Q8—792no—
1278C4×Q8—794no—
1279C4×Q8—794no—
1280C4×Q8—792no—
1281C4×Q8—792no—
1282C4×Q8—794no—
1283C4×Q8—794no—
1284C4×Q8—794no—
1285C4×Q8—798no—
1286C4×Q8—792no—
1287C4×Q8—792no—
1288C4×Q8—794no—
1289C4×Q8—794no—
1290C4×Q8C22×D7912yes—
1291C4×Q8C22×D7912yes—
1292C4×Q8C22×D7914yes—
1293C4×Q8C22×D7912yes—
1294C4×Q8C22×D7912yes—
1295C4×Q8C22×D7914yes—
1296C4×D4—792no—
1297C4×D4—794no—
1298C4×D4—794no—
1299C4×D4—792no—
1300C4×D4—792no—
1301C4×D4—792no—
1302C4×D4—794no—
1303C4×D4—794no—
1304C4×D4—794no—
1305C4×D4—798no—
1306C4×D4—798no—
1307C4×D4—792no—
1308C4×D4—794no—
1309C4×D4—794no—
1310C4×D4—792no—
1311C4×D4—792no—
1312C4×D4—792no—
1313C4×D4—798no—
1314C4×D4—794no—
1315C4×D4—794no—
1316C4×D4—794no—
1317C4×D4—794no—
1318C4×D4—794no—
1319C4×D4—794no—
1320C4×D4—798no—
1321C4×D4—798no—
1322C4×D4—798no—
1323C4×D4—798no—
1324C4×D4—794no—
1325C4×D4—794no—
1326C4×D4—792no—
1327C4×D4—792no—
1328C4×D4—798no—
1329C4×D4—794no—
1330C4×D4C22×D7912yes—
1331C4×D4C22×D7912yes—
1332C4×D4C22×D7914yes—
1333C4×D4C22×D7914yes—
1334#117—792no—
1335#117—792no—
1336#117—794no—
1337#117—792no—
1338#117—792no—
1339#117—792no—
1340#117—792no—
1341#117—792no—
1342#117—792no—
1343#117—794no—
1344#117—798no—
1345#117—794no—
1346#117—794no—
1347#117—794no—
1348#117—798no—
1349#117—794no—
1350#117—794no—
1351#117—798no—
1352#117—794no—
1353#117—794no—
1354#117—798no—
1355#117C22×D7912yes—
1356#117C22×D7912yes—
1357#117C22×D7914yes—
1358C2×C4⋊C4—794no—
1359C2×C4⋊C4—798no—
1360C2×C4⋊C4—792no—
1361C2×C4⋊C4—792no—
1362C2×C4⋊C4—794no—
1363C2×C4⋊C4—794no—
1364C2×C4⋊C4—792no—
1365C2×C4⋊C4—792no—
1366C2×C4⋊C4—794no—
1367C2×C4⋊C4—798no—
1368C2×C22⋊C4—794no—
1369C2×C42—794no—
1370C2×C42—798no—
1371C2×C42—791no—
1372C2×C42—791no—
1373C2×C42—791no—
1374C2×C42—794no—
1375C2×C42—791no—
1376C2×C42—791no—
1377C2×C42—794no—
1378C2×C42—798no—
1379C2×C42—791no—
1380C2×C42—791no—
1381C2×C42—791no—
1382C2×C42—791no—
1383C2×C42—791no—
1384C2×C42—791no—
1385C2×C42C22×D7911yescharacteristic
1386C24—791no—
1387#41—44no—
1388#41—3168no—
1389#41—3164no—
1390#41—3164no—
1391#41—3168no—
1392#41—3164no—
1393#41—1588no—
1394#41—1588no—
1395C2×Q8—48no—
1396C2×Q8—3164no—
1397C2×Q8—3164no—
1398C2×Q8—3168no—
1399C2×Q8—794no—
1400C2×Q8—794no—
1401C2×Q8—798no—
1402C2×Q8—792no—
1403C2×Q8—792no—
1404C2×Q8—792no—
1405C2×Q8—792no—
1406C2×Q8—792no—
1407C2×Q8C23×D7912yes—
1408C2×Q8C23×D7912yes—
1409C2×Q8C23×D7912yes—
1410C2×Q8C23×D7912yes—
1411C2×Q8C23×D7912yes—
1412C2×Q8C23×D7918yes—
1413C2×D4—794no—
1414C2×D4—794no—
1415C2×D4—798no—
1416C2×D4—798no—
1417C2×D4—794no—
1418C2×D4—794no—
1419C2×D4—792no—
1420C2×D4—794no—
1421C2×D4—792no—
1422C2×D4—792no—
1423C2×D4C23×D7912yes—
1424C2×D4C23×D7912yes—
1425C2×D4C23×D7914yes—
1426C2×D4C23×D7912yes—
1427C22×C4—3162no—
1428C22×C4—3162no—
1429C22×C4—791no—
1430C22×C4—791no—
1431C22×C4—794no—
1432C22×C4—798no—
1433C22×C4—791no—
1434C22×C4—791no—
1435C22×C4—791no—
1436C22×C4—791no—
1437C22×C4—794no—
1438C22×C4—794no—
1439C22×C4—794no—
1440C22×C4—798no—
1441C22×C4—798no—
1442C22×C4—791no—
1443C22×C4—794no—
1444C22×C4—791no—
1445C22×C4—794no—
1446C22×C4—791no—
1447C22×C4—791no—
1448C22×C4—791no—
1449C22×C4—791no—
1450C22×C4—791no—
1451C22×C4—791no—
1452C22×C4—791no—
1453C22×C4—794no—
1454C22×C4—1584no—
1455C22×C4C23×D7911yescharacteristic
1456C22×C4C23×D7911yescharacteristic
1457C22×C4C23×D7911yescharacteristic
1458C22×C4C23×D7914yes—
1459C22×C4C23×D7918yes—
1460C4⋊C4—794no—
1461C4⋊C4—794no—
1462C4⋊C4—794no—
1463C4⋊C4—794no—
1464C4⋊C4—794no—
1465C4⋊C4—794no—
1466C4⋊C4—794no—
1467C4⋊C4—798no—
1468C4⋊C4—798no—
1469C4⋊C4—794no—
1470C4⋊C4—794no—
1471C4⋊C4—798no—
1472C4⋊C4—798no—
1473C4⋊C4—794no—
1474C4⋊C4—794no—
1475C4⋊C4—794no—
1476C4⋊C4—794no—
1477C4⋊C4—798no—
1478C4⋊C4—794no—
1479C4⋊C4—798no—
1480C4⋊C4—792no—
1481C4⋊C4—792no—
1482C4⋊C4—794no—
1483C4⋊C4—794no—
1484C4⋊C4—792no—
1485C4⋊C4—794no—
1486C4⋊C4—792no—
1487C4⋊C4—792no—
1488C4⋊C4—798no—
1489C4⋊C4—798no—
1490C4⋊C4—798no—
1491C4⋊C4—792no—
1492C4⋊C4—792no—
1493C4⋊C4—792no—
1494C4⋊C4—792no—
1495C4⋊C4—792no—
1496C4⋊C4—794no—
1497C4⋊C4—794no—
1498C4⋊C4—794no—
1499C4⋊C4—798no—
1500C4⋊C4C23×D7912yes—
1501C4⋊C4C23×D7912yes—
1502C4⋊C4C23×D7912yes—
1503C4⋊C4C23×D7912yes—
1504C4⋊C4C23×D7912yes—
1505C4⋊C4C23×D7914yes—
1506C4⋊C4C23×D7918yes—
1507C4⋊C4C23×D7914yes—
1508C4⋊C4C23×D7912yes—
1509C4⋊C4C23×D7912yes—
1510C4⋊C4C23×D7912yes—
1511C4⋊C4C23×D7918yes—
1512C4⋊C4C23×D7914yes—
1513C4⋊C4C23×D7914yes—
1514C4⋊C4C23×D7912yes—
1515C4⋊C4C23×D7912yes—
1516C22⋊C4—794no—
1517C22⋊C4—794no—
1518C22⋊C4—794no—
1519C22⋊C4—798no—
1520C22⋊C4—794no—
1521C22⋊C4—794no—
1522C22⋊C4—794no—
1523C22⋊C4—794no—
1524C22⋊C4—794no—
1525C22⋊C4—794no—
1526C22⋊C4—794no—
1527C22⋊C4—794no—
1528C22⋊C4—794no—
1529C22⋊C4—794no—
1530C22⋊C4—794no—
1531C22⋊C4—798no—
1532C22⋊C4—794no—
1533C22⋊C4—798no—
1534C22⋊C4—794no—
1535C22⋊C4—794no—
1536C22⋊C4—798no—
1537C22⋊C4—798no—
1538C22⋊C4—794no—
1539C22⋊C4C23×D7914yes—
1540C22⋊C4C23×D7914yes—
1541C22⋊C4C23×D7918yes—
1542C22⋊C4C23×D7918yes—
1543C22⋊C4C23×D7914yes—
1544C22⋊C4C23×D7914yes—
1545C22⋊C4C23×D7918yes—
1546C42—791no—
1547C42—791no—
1548C42—791no—
1549C42—791no—
1550C42—791no—
1551C42—794no—
1552C42—794no—
1553C42—794no—
1554C42—794no—
1555C42—791no—
1556C42—791no—
1557C42—791no—
1558C42—791no—
1559C42—791no—
1560C42—791no—
1561C42—791no—
1562C42—794no—
1563C42—794no—
1564C42—794no—
1565C42—794no—
1566C42—798no—
1567C42—798no—
1568C42—798no—
1569C42C23×D7911yescharacteristic
1570C42C23×D7911yescharacteristic
1571C42C23×D7911yescharacteristic
1572C42C23×D7911yescharacteristic
1573C42C23×D7914yes—
1574C42C23×D7914yes—
1575C42C23×D7918yes—
1576C23—3161no—
1577C23—3161no—
1578C23—791no—
1579C23—791no—
1580C23—794no—
1581C23—1582no—
1582C23C24×D7911yescharacteristic
1583C23C24×D7914yes—
1584Q8—24no—
1585Q8—24no—
1586Q8—24no—
1587Q8—24no—
1588Q8—48no—
1589Q8—42no—
1590Q8—3164no—
1591Q8—3164no—
1592Q8—3168no—
1593Q8—3162no—
1594Q8—1584no—
1595Q8—1584no—
1596Q8—1584no—
1597Q8—1584no—
1598D4—24no—
1599D4—24no—
1600D4—42no—
1601D4—44no—
1602D4—3164no—
1603D4—3162no—
1604D4—3168no—
1605D4—3168no—
1606D4—3164no—
1607D4—3164no—
1608D4—1588no—
1609D4—1588no—
1610D4—1584no—
1611D4—1584no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—28no—
1615C2×C4—22no—
1616C2×C4—48no—
1617C2×C4—3161no—
1618C2×C4—3161no—
1619C2×C4—3161no—
1620C2×C4—3161no—
1621C2×C4—3164no—
1622C2×C4—3164no—
1623C2×C4—3168no—
1624C2×C4—3168no—
1625C2×C4—3164no—
1626C2×C4—3161no—
1627C2×C4—3161no—
1628C2×C4—3164no—
1629C2×C4—3168no—
1630C2×C4—791no—
1631C2×C4—794no—
1632C2×C4—791no—
1633C2×C4—791no—
1634C2×C4—794no—
1635C2×C4—791no—
1636C2×C4—791no—
1637C2×C4—791no—
1638C2×C4—794no—
1639C2×C4—794no—
1640C2×C4—794no—
1641C2×C4—794no—
1642C2×C4—1582no—
1643C2×C4—1588no—
1644C2×C4—1582no—
1645C2×C4—1582no—
1646C2×C4—1588no—
1647C2×C4—1582no—
1648C2×C4—1582no—
1649C2×C4—1582no—
1650C2×C4—1582no—
1651C2×C4—1582no—
1652C2×C4—1588no—
1653C2×C4C24×D7914yes—
1654C2×C4C24×D7914yes—
1655C2×C4C24×D7914yes—
1656C2×C4C24×D7911yescharacteristic
1657C2×C4C24×D7914yes—
1658C2×C4C24×D7911yescharacteristic
1659C2×C4C24×D7911yescharacteristic
1660C2×C4C24×D7914yes—
1661C2×C4C24×D7911yescharacteristic
1662C2×C4C24×D7911yescharacteristic
1663C2×C4C24×D7911yescharacteristic
1664C22—21no—
1665C22—24no—
1666C22—24no—
1667C22—21no—
1668C22—21no—
1669C22—24no—
1670C22—3164no—
1671C22—792no—
1672C22—1581no—
1673C22—1584no—
1674C22—1584no—
1675C22—1581no—
1676C22—1584no—
1677C22—1581no—
1678C22—1581no—
1679C22—1581no—
1680C22C25×D7911yescharacteristic
1681C4—21no—
1682C4—24no—
1683C4—21no—
1684C4—24no—
1685C4—24no—
1686C4—24no—
1687C4—21no—
1688C4—24no—
1689C4—792no—
1690C4—1581no—
1691C4—1584no—
1692C4—1581no—
1693C4—1584no—
1694C4—1581no—
1695C4—1581no—
1696C4—1584no—
1697C4—1584no—
1698C4—1584no—
1699C4—1581no—
1700C42−1+4×D7912yes—
1701C4#1909939812yes—
1702C4#1909940012yes—
1703C2—41no—
1704C2—44no—
1705C2—3161no—
1706C2—3164no—
1707C2—1582no—
1708C2C2×2−1+4×D7911yescharacteristic
1709C2C2×#1909939811yescharacteristic
1710C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3550C2
hypercenter#3550D79
hypocenterC79#62761
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3550

Complements

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

NH ≅ G/Ntype
1. #23777899C2semidirect
2. #23777895C2semidirect
3. #23777889C2semidirect
4. #23777876C2semidirect
5. #23777872C2semidirect
6. #23777859C2semidirect
7. #23777851C2semidirect
8. #23777842C2semidirect
9. #23777830C2semidirect
10. #23777811C2semidirect
11. #23777798C2semidirect
12. #23777695C2semidirect
13. #23777689C2semidirect
14. #23777546C2semidirect
15. #23777021C2semidirect
16. #23777019C2semidirect
17. #23776996C2semidirect
18. #23776992C2semidirect
19. Q8×#11929625C2semidirect
20. Q8×#11929623C2semidirect
21. #23776826C2semidirect
22. #23776824C2semidirect
23. #23776787C2semidirect
24. #23776697C2semidirect
25. #23776695C2semidirect
26. #533×D79C2semidirect
27. C79×#3550C2semidirect
28. C79⋊#564C22semidirect
29. #19099317C22semidirect
31. #19099315C22semidirect
32. #19099314C22semidirect
36. #19099307C22semidirect
37. #19099298C22semidirect
38. #19099296C22semidirect
39. #19099295C22semidirect
40. Q8×Dic158C22semidirect
41. #19099292C22semidirect
42. #19099292C22semidirect
43. #19099292C22semidirect
44. #19099291C22semidirect
45. #19099291C22semidirect
46. #19099288C22semidirect
47. #19099288C22semidirect
48. #19099288C22semidirect
50. #19099287C22semidirect
51. #19099286C22semidirect
52. #19099285C22semidirect
53. #19099282C22semidirect
57. #19099274C22semidirect
58. #19099274C22semidirect
61. #19099270C22semidirect
62. #19099270C22semidirect
68. #19099255C22semidirect
70. #19099249C22semidirect
71. #19099234C22semidirect
72. #19099233C22semidirect
74. Q8×D316C22semidirect
75. #19099228C22semidirect
81. #19099218C22semidirect
83. #19099217C22semidirect
85. #19099191C22semidirect
86. #19099190C22semidirect
89. #19099186C22semidirect
93. #19099178C22semidirect
96. #19099174C22semidirect
99. #19099173C22semidirect
101. #19099171C22semidirect
102. #19099170C22semidirect
106. #19099159C22semidirect
108. #19099157C22semidirect
115. #19099137C22semidirect
117. #19099133C22semidirect
128. #19099118C22semidirect
129. #19099118C22semidirect
135. #19099115C22semidirect
136. #19099115C22semidirect
150. #19099099C22semidirect
154. #19099096C22semidirect
162. #19099092C22semidirect
164. #19099090C22semidirect
179. #19099031C22semidirect
183. C4×#11929623C22semidirect
184. C2×Q8×Dic79C22semidirect
187. C4×Q8×D79C22semidirect
190. #563×C79C22semidirect
191. #559×C79C22semidirect
192. Q82×C79C22semidirect
193. #556×C79C22semidirect
194. #556×C79C22semidirect
195. D4×Q8×C79C22semidirect
196. D4×Q8×C79C22semidirect
866. #3550D79semidirect
883. C79#62761semidirect
890. #563C2×D79semidirect
897. #559C2×D79semidirect
899. Q82C2×D79semidirect
914. #556C2×D79semidirect
915. #556C2×D79semidirect
938. D4×Q8C2×D79semidirect
939. D4×Q8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237778992
#237778952
#237778892
#237778762
#237778722
#237778592
#237778512
#237778422
#237778302
#237778112
#237777982
#237776952
#237776892
#237775462
#237770212
#237770192
#237769962
#237769922
Q8×#119296252
Q8×#119296232
#237768262
#237768242
#237767872
#237766972
#237766952
#533×D792
C79×#35502
#6276179