Finite Group Databasebeta

← #35197176

Subgroups — #35197176

Order 20224.

7148 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777962C214yesmaximal, complemented
2#23777928C214yesmaximal, complemented
3#23777861C214yesmaximal, complemented
4#23777814C211yesmaximal, characteristic, complemented
5#23777811C211yesmaximal, characteristic, complemented
6#23777798C211yesmaximal, characteristic, complemented
7#23777779C214yesmaximal, complemented
8#23777618C214yesmaximal, complemented
9#23777484C212yesmaximal, complemented
10#23777480C212yesmaximal, complemented
11#23777452C212yesmaximal, complemented
12#23777440C212yesmaximal, complemented
13#23777310C212yesmaximal, complemented
14#23777309C214yesmaximal, complemented
15#23777270C212yesmaximal, complemented
16#23777263C212yesmaximal, complemented
17#23777244C212yesmaximal, complemented
18#23777214C212yesmaximal, complemented
19#23777197C212yesmaximal, complemented
20#23777179C212yesmaximal, complemented
21#23777165C212yesmaximal, complemented
22#23777127C214yesmaximal, complemented
23#23777075C214yesmaximal, complemented
24#23776695C211yesmaximal, characteristic, complemented
25#533×D79C211yesmaximal, characteristic, complemented
26#532×D79C211yesmaximal, characteristic, complemented
27C79×#3548C211yesmaximal, characteristic, complemented
28C2×#14579208C2214yescomplemented
29C2×#41×D79C2212yes—
30#19099317C2214yescomplemented
31#19099313C2214yescomplemented
32#19099308C2218yescomplemented
33#19099308C2218yescomplemented
34#19099307C2214yescomplemented
35#19099299C2212yescomplemented
36#19099299C2214yescomplemented
37#19099298C2212yescomplemented
38#19099296C2214yescomplemented
39#19099296C2214yescomplemented
40Q8×Dic158C2212yescomplemented
41#19099293C2212yescomplemented
42#19099290C2214yescomplemented
43#19099287C2212yescomplemented
44#19099286C2212yescomplemented
45#19099284C2218yescomplemented
46#19099283C2212yescomplemented
47#19099283C2212yescomplemented
48#19099277C2218yescomplemented
49#19099277C2214yescomplemented
50#19099274C2212yescomplemented
51#19099271C2214yes—
52#19099271C2218yescomplemented
53#19099270C2212yescomplemented
54#19099270C2214yescomplemented
55#19099269C2214yescomplemented
56#19099268C2214yes—
57#19099268C2214yescomplemented
58#19099258C2218yescomplemented
59#19099256C2218yescomplemented
60#19099256C2218yescomplemented
61#19099248C2214yescomplemented
62#19099247C2214yescomplemented
63#19099241C2218yes—
64#19099236C2218yes—
65#19099234C2212yescomplemented
66#19099233C2212yescomplemented
67#19099233C2214yescomplemented
68Q8×D316C2212yescomplemented
69D4×Dic158C2212yescomplemented
70D4×Dic158C2212yescomplemented
71D4×Dic158C2214yescomplemented
72#19099228C2212yescomplemented
73#19099226C2218yes—
74#19099226C2214yescomplemented
75#19099223C2214yescomplemented
76#19099220C2214yescomplemented
77#19099220C2214yescomplemented
78#19099219C2218yescomplemented
79#19099219C2218yescomplemented
80#19099219C2214yescomplemented
81#19099218C2212yescomplemented
82#19099217C2212yescomplemented
83#19099215C2218yescomplemented
84#19099214C2214yescomplemented
85#19099213C2218yescomplemented
86#19099213C2218yescomplemented
87#19099213C2214yescomplemented
88#19099212C2214yescomplemented
89#19099211C2218yescomplemented
90#19099210C2218yes—
91#19099210C2214yes—
92#19099202C2218yes—
93#19099202C2218yes—
94#19099201C2214yes—
95#19099193C2214yes—
96#19099192C2218yescomplemented
97#19099188C2218yes—
98#19099186C2214yescomplemented
99#19099186C2214yescomplemented
100#19099184C2214yescomplemented
101#19099183C2218yescomplemented
102#19099181C2218yescomplemented
103#19099180C2214yescomplemented
104#19099180C2214yescomplemented
105#19099180C2214yescomplemented
106#19099180C2218yescomplemented
107#19099166C2214yescomplemented
108#19099163C2218yescomplemented
109#19099159C2218yescomplemented
110#19099157C2218yescomplemented
111#19099156C2218yescomplemented
112#19099145C2218yes—
113#19099142C2214yescomplemented
114#19099142C2214yescomplemented
115#19099142C2218yescomplemented
116#19099141C2214yescomplemented
117#19099136C2214yescomplemented
118#19099136C2214yescomplemented
119#19099135C2218yescomplemented
120#19099134C2214yescomplemented
121#19099126C2214yes—
122#19099120C2211yescharacteristic, complemented
123#19099120C2211yescharacteristic, complemented
124#19099119C2212yes—
125#19099118C2211yescharacteristic
126#19099118C2211yescharacteristic
127#19099118C2211yescharacteristic
128#19099118C2211yescharacteristic, complemented
129#19099117C2212yes—
130#19099117C2212yes—
131#19099116C2212yescomplemented
132#19099115C2212yescomplemented
133#19099115C2214yescomplemented
134#19099115C2212yescomplemented
135#19099114C2211yescharacteristic
136#19099113C2211yescharacteristic
137#19099112C2212yes—
138#19099111C2211yescharacteristic
139#19099111C2211yescharacteristic
140#19099111C2214yescomplemented
141#19099111C2211yescharacteristic, complemented
142#19099110C2212yes—
143#19099110C2212yes—
144#19099110C2214yescomplemented
145#19099109C2212yes—
146#19099109C2214yescomplemented
147#19099108C2212yes—
148#19099108C2212yes—
149#19099108C2214yescomplemented
150C2×#14579160C2214yescomplemented
151C4⋊Q8×D79C2211yescharacteristic
152C4⋊Q8×D79C2211yescharacteristic, complemented
153C4⋊Q8×D79C2211yescharacteristic, complemented
154#127×D79C2211yescharacteristic
155#19099098C2214yescomplemented
156#19099095C2212yes—
157#19099095C2214yescomplemented
158#19099095C2212yescomplemented
159#19099094C2212yescomplemented
160#19099094C2212yescomplemented
161#19099092C2212yes—
162#19099092C2212yescomplemented
163#125×D79C2212yescomplemented
164#124×D79C2212yes—
165#19099073C2212yes—
166#19099073C2214yes—
167#19099073C2212yes—
168#19099070C2214yes—
169#19099070C2212yes—
170C2×#14579141C2214yes—
171C22⋊Q8×D79C2212yes—
172C22⋊Q8×D79C2214yes—
173C22⋊Q8×D79C2212yes—
174#121×D79C2212yes—
175#121×D79C2212yes—
176#19099046C2214yescomplemented
177#19099044C2214yescomplemented
178#19099044C2214yescomplemented
179#19099042C2214yes—
180#19099035C2214yes—
181#41×Dic79C2212yescomplemented
182C4×#11929623C2212yes—
183C4×#11929623C2212yescomplemented
184C4×Q8×D79C2212yescomplemented
185C4×Q8×D79C2212yescomplemented
186C4×D4×D79C2212yes—
187C4×D4×D79C2212yes—
188#117×D79C2212yes—
189C2×C42×D79C2211yescharacteristic
190#562×C79C2214yescomplemented
191#554×C79C2212yescomplemented
192#554×C79C2212yescomplemented
193#550×C79C2212yescomplemented
194#550×C79C2212yescomplemented
195#547×C79C2212yescomplemented
196#547×C79C2212yescomplemented
197#540×C79C2214yescomplemented
198#537×C79C2214yescomplemented
199#537×C79C2214yescomplemented
200#533×C79C2211yescharacteristic, complemented
201#532×C79C2211yescharacteristic
202#532×C79C2211yescharacteristic, complemented
203#14579208—416no—
204C2×#11929625C2312yes—
205C2×#11929624C2314yes—
206C2×#11929624C2312yes—
207C2×#11929624C2318yes—
208C2×#11929624C2314yes—
209C2×#11929623C2312yes—
210C2×#11929623C2312yes—
211C2×#11929623C2318yes—
212C2×#11929623C2314yes—
213C2×#11929623C2318yes—
214C2×#11929623C2312yes—
215C2×#11929623C2314yes—
216#41×D79—48no—
217C22×Dic158C2318yes—
218C22×Dic158C2314yes—
219C2×Q8×D79C2312yes—
220C2×Q8×D79C2314yes—
221C2×Q8×D79C2312yes—
222C2×Q8×D79C2312yes—
223C2×D4×D79C2312yes—
224C2×D4×D79C2312yes—
225C2×D4×D79C2312yes—
226C2×D4×D79C2314yes—
227C22×C4×D79C2311yescharacteristic
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2314yes—
231#14579161C2314yes—
232#14579161C2311yescharacteristic
233#14579161C2311yescharacteristic
234#14579161C2311yescharacteristic
235#14579161C2311yescharacteristic
236#14579161C2311yescharacteristic
237#14579160C2318yes—
238#14579160C2318yes—
239#14579160C2314yes—
240#14579160C2314yes—
241#14579160C2314yes—
242#14579160C2312yes—
243#14579160C2318yes—
244#14579160C2312yes—
245#14579160C2312yes—
246#14579160C2312yes—
247#14579160C2312yes—
248#14579160C2312yes—
249#14579159C2318yes—
250#14579159C2312yes—
251#14579159C2312yes—
252#14579159C2312yes—
253#14579158C2311yescharacteristic
254#14579157C2312yes—
255#14579157C2314yes—
256#14579157C2312yes—
257#14579157C2312yes—
258#14579156C2318yes—
259#14579156C2318yes—
260#14579156C2318yes—
261#14579154C2318yes—
262#14579154C2314yes—
263#14579154C2318yes—
264#14579154C2314yes—
265#14579154C2318yes—
266#14579153C2312yes—
267#14579153C2312yes—
268#14579152C2312yes—
269#14579152C2312yes—
270#14579152C2314yes—
271#14579152C2312yes—
272#14579152C2312yes—
273#14579151C2318yes—
274#14579151C2318yes—
275#14579151C2314yes—
276#14579151C2318yes—
277#14579151C2314yes—
278#14579150C2312yes—
279#14579150C2314yes—
280#14579149C2314yes—
281#14579149C2312yes—
282#14579148C2318yes—
283#14579148C2312yes—
284#14579148C2318yes—
285#14579148C2314yes—
286#14579148C2318yes—
287#14579148C2314yes—
288#14579148C2312yes—
289#14579148C2312yes—
290#14579147C2318yes—
291#14579147C2318yes—
292#14579147C2318yes—
293#14579147C2314yes—
294#14579147C2318yes—
295#14579147C2314yes—
296#14579146C2318yes—
297#14579146C2318yes—
298#14579145C2318yes—
299#14579144C2318yes—
300#14579144C2318yes—
301#14579143C2318yes—
302#14579143C2318yes—
303#14579143C2318yes—
304#14579143C2318yes—
305#14579143C2318yes—
306#14579143C2314yes—
307#14579143C2314yes—
308#14579142C2318yes—
309#14579142C2318yes—
310#14579142C2318yes—
311#14579142C2318yes—
312#14579142C2314yes—
313#14579141C2314yes—
314#14579141C2314yes—
315#14579141C2318yes—
316#14579141C2318yes—
317#14579141C2318yes—
318#14579141C2312yes—
319#14579141C2312yes—
320#14579141C2312yes—
321#14579141C2312yes—
322#14579140C2312yes—
323#14579140C2314yes—
324#14579140C2312yes—
325#14579140C2314yes—
326#14579140C2312yes—
327#14579140C2318yes—
328#14579140C2314yes—
329#14579140C2312yes—
330#14579140C2318yes—
331#14579139C2314yes—
332#14579139C2318yes—
333#14579139C2318yes—
334#14579139C2318yes—
335#14579139C2318yes—
336#14579139C2314yes—
337#14579138C2318yes—
338#14579138C2318yes—
339#14579138C2318yes—
340#14579138C2318yes—
341#14579138C2318yes—
342#14579138C2318yes—
343#14579138C2318yes—
344#14579138C2314yes—
345#14579138C2314yes—
346#14579137C2314yes—
347#14579137C2318yes—
348#14579137C2312yes—
349#14579137C2312yes—
350#14579137C2312yes—
351#14579137C2312yes—
352#14579136C2312yes—
353#14579136C2312yes—
354#14579135C2312yes—
355#14579135C2314yes—
356#14579135C2312yes—
357#14579134C2314yes—
358#14579134C2318yes—
359#14579134C2318yes—
360#14579134C2314yes—
361#14579133C2318yes—
362#14579133C2318yes—
363#14579133C2318yes—
364#14579133C2318yes—
365#14579133C2318yes—
366#14579133C2318yes—
367#14579133C2314yes—
368#14579133C2314yes—
369#14579132C2318yes—
370#14579132C2312yes—
371#14579132C2318yes—
372#14579132C2314yes—
373#14579132C2318yes—
374#14579132C2312yes—
375#14579132C2312yes—
376#14579132C2312yes—
377#14579132C2312yes—
378#14579132C2312yes—
379#14579129C2318yes—
380#14579129C2318yes—
381#14579129C2314yes—
382Q8×Dic79C2312yes—
383Q8×Dic79C2314yes—
384Q8×Dic79C2312yes—
385Q8×Dic79C2312yes—
386Q8×Dic79C2312yes—
387C4×Dic158C2314yes—
388C4×Dic158C2312yes—
389C4×Dic158C2312yes—
390C4×Dic158C2314yes—
391C4×Dic158C2312yes—
392C4×Dic158C2314yes—
393C4×Dic158C2312yes—
394#14579126C2314yes—
395#14579126C2312yes—
396#14579126C2314yes—
397#14579126C2314yes—
398#14579126C2318yes—
399#14579126C2312yes—
400#14579126C2314yes—
401#14579126C2312yes—
402#14579126C2312yes—
403C4×D316C2314yes—
404C4×D316C2312yes—
405C4×D316C2312yes—
406D4×Dic79C2318yes—
407D4×Dic79C2314yes—
408D4×Dic79C2312yes—
409D4×Dic79C2314yes—
410D4×Dic79C2318yes—
411D4×Dic79C2314yes—
412D4×Dic79C2312yes—
413D4×Dic79C2314yes—
414D4×Dic79C2312yes—
415D4×Dic79C2312yes—
416D4×Dic79C2312yes—
417D4×Dic79C2314yes—
418D4×Dic79C2312yes—
419#14579123C2318yes—
420#14579123C2314yes—
421#14579123C2312yes—
422#14579123C2314yes—
423#14579123C2312yes—
424C4×C22⋊D79C2318yes—
425C4×C22⋊D79C2318yes—
426C4×C22⋊D79C2318yes—
427C4×C22⋊D79C2318yes—
428C4×C22⋊D79C2318yes—
429C4×C22⋊D79C2318yes—
430C4×C22⋊D79C2314yes—
431C4×C22⋊D79C2314yes—
432C4×C22⋊D79C2314yes—
433C4×C22⋊D79C2314yes—
434(C22⋊D79)⋊C4C2318yes—
435(C22⋊D79)⋊C4C2314yes—
436(C22⋊D79)⋊C4C2318yes—
437(C22⋊D79)⋊C4C2314yes—
438(C22⋊D79)⋊C4C2314yes—
439(C22⋊D79)⋊C4C2314yes—
440#14579120C2312yes—
441#14579120C2312yes—
442#14579120C2314yes—
443#14579120C2318yes—
444#14579120C2314yes—
445#14579119C2312yes—
446#14579119C2314yes—
447#14579119C2318yes—
448#14579119C2312yes—
449#14579119C2312yes—
450#14579119C2312yes—
451#14579118C2314yes—
452#14579117C2314yes—
453#14579117C2314yes—
454#14579117C2318yes—
455#14579117C2314yes—
456C2×C4⋊Dic79C2314yes—
457C2×C4⋊Dic79C2318yes—
458C2×Dic79⋊C4C2318yes—
459C4⋊C4×D79C2314yes—
460C4⋊C4×D79C2312yes—
461C4⋊C4×D79C2314yes—
462C4⋊C4×D79C2318yes—
463C4⋊C4×D79C2312yes—
464C4⋊C4×D79C2312yes—
465C4⋊C4×D79C2312yes—
466C4⋊C4×D79C2314yes—
467C4⋊C4×D79C2312yes—
468C4⋊C4×D79C2312yes—
469C2×(C2×D79)⋊C4C2318yes—
470C22⋊C4×D79C2314yes—
471C22⋊C4×D79C2318yes—
472C22⋊C4×D79C2314yes—
473C22⋊C4×D79C2314yes—
474C2×C4×Dic79C2311yescharacteristic
475C2×C4×Dic79C2311yescharacteristic
476C2×C4×Dic79C2311yescharacteristic
477C2×C4×Dic79C2314yes—
478C42×D79C2311yescharacteristic
479C42×D79C2311yescharacteristic
480C42×D79C2311yescharacteristic
481C42×D79C2311yescharacteristic
482C42×D79C2311yescharacteristic
483C42×D79C2311yescharacteristic
484C42×D79C2311yescharacteristic
485C42×D79C2311yescharacteristic
486C42×D79C2314yes—
487C2×#41×C79C2314yes—
488C2×#41×C79C2312yes—
489C2×#41×C79C2314yes—
490C2×#41×C79C2312yes—
491C4⋊Q8×C79C2311yescharacteristic
492C4⋊Q8×C79C2311yescharacteristic
493C4⋊Q8×C79C2311yescharacteristic
494C4⋊Q8×C79C2311yescharacteristic
495#127×C79C2311yescharacteristic
496#127×C79C2314yes—
497#127×C79C2311yescharacteristic
498#125×C79C2314yes—
499#125×C79C2312yes—
500#124×C79C2312yes—
501#124×C79C2312yes—
502#123×C79C2318yes—
503#123×C79C2318yes—
504C22⋊Q8×C79C2312yes—
505C22⋊Q8×C79C2314yes—
506C22⋊Q8×C79C2318yes—
507C22⋊Q8×C79C2318yes—
508C22⋊Q8×C79C2312yes—
509C22⋊Q8×C79C2314yes—
510#121×C79C2312yes—
511#121×C79C2318yes—
512#121×C79C2314yes—
513#121×C79C2318yes—
514#121×C79C2312yes—
515#121×C79C2312yes—
516#121×C79C2312yes—
517#121×C79C2314yes—
518#121×C79C2318yes—
519#121×C79C2318yes—
520C4×Q8×C79C2312yes—
521C4×Q8×C79C2312yes—
522C4×D4×C79C2312yes—
523C4×D4×C79C2312yes—
524C4×D4×C79C2312yes—
525C4×D4×C79C2314yes—
526C4×D4×C79C2312yes—
527C4×D4×C79C2314yes—
528#117×C79C2312yes—
529C2×C4⋊C4×C79C2314yes—
530C2×C4⋊C4×C79C2314yes—
531C2×C42×C79C2311yescharacteristic
532C23×D79C2411yescharacteristic
533C23×D79C2414yes—
534#11929625—44no—
535#11929624—216no—
536#11929624—416no—
537#11929624—48no—
538#11929624—44no—
539#11929623—28no—
540#11929623—28no—
541#11929623—44no—
542#11929623—416no—
543#11929623—48no—
544#11929623—416no—
545#11929623—48no—
546C2×Dic158—48no—
547C2×Dic158—416no—
548C2×Dic158C2412yes—
549C2×Dic158C2414yes—
550C2×Dic158C2412yes—
551C2×Dic158C2414yes—
552C2×Dic158C2412yes—
553C2×Dic158C2412yes—
554C2×Dic158C2418yes—
555C2×Dic158C2412yes—
556C2×Dic158C2414yes—
557C2×Dic158C2418yes—
558Q8×D79—28no—
559Q8×D79—44no—
560Q8×D79—48no—
561Q8×D79—44no—
562C2×D316C2414yes—
563C2×D316C2412yes—
564C2×D316C2412yes—
565C2×D316C2412yes—
566C2×C22⋊D79C2414yes—
567C2×C22⋊D79C2414yes—
568C2×C22⋊D79C2414yes—
569C2×C22⋊D79C2414yes—
570C2×C22⋊D79C2414yes—
571C2×C22⋊D79C2418yes—
572C2×C22⋊D79C2414yes—
573C2×C22⋊D79C2418yes—
574C2×C22⋊D79C2414yes—
575D4×D79—28no—
576D4×D79—44no—
577D4×D79—48no—
578D4×D79—44no—
579C22×Dic79C2414yes—
580C22×Dic79C2411yescharacteristic
581C22×Dic79C2414yes—
582C22×Dic79C2411yescharacteristic
583C22×Dic79C2418yes—
584C22×Dic79C2418yes—
585C22×Dic79C2414yes—
586C22×Dic79C2411yescharacteristic
587C2×C4×D79—24no—
588C2×C4×D79—24no—
589C2×C4×D79—48no—
590C2×C4×D79—42no—
591C2×C4×D79C2411yescharacteristic
592C2×C4×D79C2411yescharacteristic
593C2×C4×D79C2414yes—
594C2×C4×D79C2414yes—
595C2×C4×D79C2411yescharacteristic
596C2×C4×D79C2411yescharacteristic
597C2×C4×D79C2411yescharacteristic
598C2×C4×D79C2411yescharacteristic
599C2×C4×D79C2411yescharacteristic
600C2×C4×D79C2411yescharacteristic
601C2×C4×D79C2418yes—
602C2×C4×D79C2414yes—
603C2×C4×D79C2414yes—
604C2×C4×D79C2414yes—
605C2×C4×D79C2418yes—
606C2×C4×D79C2411yescharacteristic
607C2×C4×D79C2411yescharacteristic
608C2×C4×D79C2411yescharacteristic
609C2×C4×D79C2411yescharacteristic
610C4⋊Dic79C2412yes—
611C4⋊Dic79C2414yes—
612C4⋊Dic79C2412yes—
613C4⋊Dic79C2414yes—
614C4⋊Dic79C2412yes—
615C4⋊Dic79C2412yes—
616C4⋊Dic79C2412yes—
617C4⋊Dic79C2412yes—
618C4⋊Dic79C2414yes—
619C4⋊Dic79C2418yes—
620C4⋊Dic79C2418yes—
621C4⋊Dic79C2412yes—
622C4⋊Dic79C2414yes—
623C4⋊Dic79C2412yes—
624C4⋊Dic79C2412yes—
625C4⋊Dic79C2412yes—
626Dic79⋊C4C2414yes—
627Dic79⋊C4C2414yes—
628Dic79⋊C4C2414yes—
629Dic79⋊C4C2414yes—
630Dic79⋊C4C2414yes—
631Dic79⋊C4C2414yes—
632Dic79⋊C4C2418yes—
633Dic79⋊C4C2418yes—
634Dic79⋊C4C2414yes—
635Dic79⋊C4C2414yes—
636Dic79⋊C4C2414yes—
637Dic79⋊C4C2414yes—
638Dic79⋊C4C2418yes—
639Dic79⋊C4C2418yes—
640Dic79⋊C4C2414yes—
641Dic79⋊C4C2414yes—
642Dic79⋊C4C2414yes—
643Dic79⋊C4C2414yes—
644C22⋊Dic79C2414yes—
645C22⋊Dic79C2414yes—
646C22⋊Dic79C2418yes—
647C22⋊Dic79C2414yes—
648C22⋊Dic79C2414yes—
649C22⋊Dic79C2418yes—
650C22⋊Dic79C2414yes—
651C22⋊Dic79C2414yes—
652C22⋊Dic79C2414yes—
653C22⋊Dic79C2418yes—
654C22⋊Dic79C2418yes—
655C22⋊Dic79C2414yes—
656(C2×D79)⋊C4C2414yes—
657(C2×D79)⋊C4C2414yes—
658(C2×D79)⋊C4C2414yes—
659(C2×D79)⋊C4C2414yes—
660(C2×D79)⋊C4C2414yes—
661(C2×D79)⋊C4C2414yes—
662(C2×D79)⋊C4C2414yes—
663(C2×D79)⋊C4C2418yes—
664(C2×D79)⋊C4C2418yes—
665(C2×D79)⋊C4C2414yes—
666(C2×D79)⋊C4C2418yes—
667(C2×D79)⋊C4C2418yes—
668C4×Dic79C2411yescharacteristic
669C4×Dic79C2411yescharacteristic
670C4×Dic79C2411yescharacteristic
671C4×Dic79C2411yescharacteristic
672C4×Dic79C2411yescharacteristic
673C4×Dic79C2411yescharacteristic
674C4×Dic79C2411yescharacteristic
675C4×Dic79C2411yescharacteristic
676C4×Dic79C2411yescharacteristic
677C4×Dic79C2411yescharacteristic
678C4×Dic79C2411yescharacteristic
679C4×Dic79C2411yescharacteristic
680C4×Dic79C2414yes—
681C4×Dic79C2414yes—
682C4×Dic79C2414yes—
683C4×Dic79C2414yes—
684C4×Dic79C2414yes—
685C4×Dic79C2414yes—
686C4×Dic79C2418yes—
687C4×Dic79C2418yes—
688#41×C79—44no—
689#41×C79—44no—
690#41×C79—48no—
691#41×C79—48no—
692C2×Q8×C79C2412yes—
693C2×Q8×C79C2412yes—
694C2×Q8×C79C2412yes—
695C2×Q8×C79C2412yes—
696C2×D4×C79C2412yes—
697C2×D4×C79C2412yes—
698C2×D4×C79C2412yes—
699C2×D4×C79C2412yes—
700C2×D4×C79C2418yes—
701C2×D4×C79C2414yes—
702C2×D4×C79C2412yes—
703C2×D4×C79C2414yes—
704C2×D4×C79C2418yes—
705C2×D4×C79C2412yes—
706C22×C4×C79C2414yes—
707C22×C4×C79C2411yescharacteristic
708C22×C4×C79C2414yes—
709C22×C4×C79C2411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711C22×C4×C79C2418yes—
712C22×C4×C79C2418yes—
713C4⋊C4×C79C2412yes—
714C4⋊C4×C79C2412yes—
715C4⋊C4×C79C2412yes—
716C4⋊C4×C79C2412yes—
717C4⋊C4×C79C2418yes—
718C4⋊C4×C79C2418yes—
719C4⋊C4×C79C2412yes—
720C4⋊C4×C79C2412yes—
721C4⋊C4×C79C2412yes—
722C4⋊C4×C79C2412yes—
723C4⋊C4×C79C2414yes—
724C4⋊C4×C79C2414yes—
725C22⋊C4×C79C2414yes—
726C22⋊C4×C79C2418yes—
727C22⋊C4×C79C2418yes—
728C22⋊C4×C79C2414yes—
729C22⋊C4×C79C2414yes—
730C22⋊C4×C79C2414yes—
731C22⋊C4×C79C2414yes—
732C42×C79C2411yescharacteristic
733C42×C79C2411yescharacteristic
734C42×C79C2411yescharacteristic
735C42×C79C2411yescharacteristic
736C42×C79C2414yes—
737C23×C79C2514yes—
738C23×C79C2511yescharacteristic
739C23×C79C2514yes—
740C22×D79—22no—
741C22×D79—22no—
742C22×D79—28no—
743C22×D79—41no—
744C22×D79—44no—
745C22×D79—44no—
746C22×D79C2514yes—
747C22×D79C2511yescharacteristic
748C22×D79C2511yescharacteristic
749Q8×C79—24no—
750Q8×C79—24no—
751Q8×C79—42no—
752Q8×C79—42no—
753D4×C79—24no—
754D4×C79—24no—
755D4×C79—24no—
756D4×C79—24no—
757D4×C79—44no—
758D4×C79—42no—
759D4×C79—48no—
760D4×C79—44no—
761D4×C79—42no—
762D4×C79—48no—
763C2×C4×C79—22no—
764C2×C4×C79—28no—
765C2×C4×C79—22no—
766C2×C4×C79—22no—
767C2×C4×C79—28no—
768C2×C4×C79—48no—
769C2×C4×C79—48no—
770C2×C4×C79C2514yes—
771C2×C4×C79C2511yescharacteristic
772C2×C4×C79C2511yescharacteristic
773C2×C4×C79C2514yes—
774C2×C4×C79C2514yes—
775C2×C4×C79C2511yescharacteristic
776C2×C4×C79C2514yes—
777C2×C4×C79C2511yescharacteristic
778C2×C4×C79C2511yescharacteristic
779C2×C4×C79C2511yescharacteristic
780C22⋊D79—28no—
781C22⋊D79—28no—
782C22⋊D79—28no—
783C22⋊D79—28no—
784C22⋊D79—28no—
785C22⋊D79—44no—
786C22⋊D79—44no—
787C22⋊D79—48no—
788C22⋊D79—48no—
789C2×Dic79—22no—
790C2×Dic79—28no—
791C2×Dic79—22no—
792C2×Dic79—28no—
793C2×Dic79—41no—
794C2×Dic79—44no—
795C2×Dic79—48no—
796C2×Dic79—48no—
797C2×Dic79C2511yescharacteristic
798C2×Dic79C2514yes—
799C2×Dic79C2511yescharacteristic
800C2×Dic79C2514yes—
801C2×Dic79C2511yescharacteristic
802C2×Dic79C2511yescharacteristic
803C2×Dic79C2514yes—
804C2×Dic79C2514yes—
805C2×Dic79C2514yes—
806C2×Dic79C2511yescharacteristic
807C2×Dic79C2511yescharacteristic
808D316—28no—
809D316—24no—
810D316—24no—
811D316—42no—
812C4×D79—22no—
813C4×D79—28no—
814C4×D79—22no—
815C4×D79—22no—
816C4×D79—28no—
817C4×D79—22no—
818C4×D79—22no—
819C4×D79—22no—
820C4×D79—22no—
821C4×D79—22no—
822C4×D79—41no—
823C4×D79—41no—
824C4×D79—44no—
825C4×D79—44no—
826C4×D79—44no—
827C4×D79—48no—
828C4×D79—48no—
829C4×D79H(5,𝔽2)14yes—
830C4×D792−1+414yescomplemented
831Dic158—24no—
832Dic158—24no—
833Dic158—24no—
834Dic158—24no—
835Dic158—28no—
836Dic158—28no—
837Dic158—48no—
838Dic158—44no—
839Dic158—42no—
840Dic158—48no—
841C22×C79—24no—
842C22×C79—24no—
843C22×C79—21no—
844C22×C79—24no—
845C22×C79—24no—
846C22×C79—21no—
847C22×C79—24no—
848C22×C79—24no—
849C22×C79—21no—
850C22×C79C2611yescharacteristic
851C2×D79—21no—
852C2×D79—21no—
853C2×D79—21no—
854C2×D79—21no—
855C2×D79—24no—
856C2×D79—24no—
857C2×D79—24no—
858C2×D79—44no—
859C2×D79—88no—
860C2×D79C2×H(5,𝔽2)12yes—
861C2×D79C2×2−1+412yes—
862C4×C79—24no—
863C4×C79—21no—
864C4×C79—24no—
865C4×C79—21no—
866C4×C79—24no—
867C4×C79—21no—
868C4×C79—24no—
869C4×C79C2×H(5,𝔽2)12yes—
870C4×C79C2×2−1+412yes—
871C4×C79#58512yes—
872Dic79—24no—
873Dic79—24no—
874Dic79—24no—
875Dic79—21no—
876Dic79—24no—
877Dic79—21no—
878Dic79—21no—
879Dic79—24no—
880Dic79—21no—
881Dic79C2×H(5,𝔽2)12yes—
882Dic79C2×2−1+412yes—
883#62835—791nomaximal, Sylow
884C2×C79—41no—
885C2×C79—44no—
886C2×C79—44no—
887C2×C79C22×H(5,𝔽2)11yescharacteristic
888C2×C79C22×2−1+411yescharacteristic
889C2×C79C2×#58511yescharacteristic
890D79—22no—
891D79—22no—
892D79—44no—
893#3561—794no—
894#3559—794no—
895#3554—794no—
896#3550—791no—
897#3550—791no—
898#3548—791no—
899#3548D7911yescharacteristic, complemented
900#3547—794no—
901#3536—794no—
902#3522—792no—
903#3522—792no—
904#3520—792no—
905#3520—792no—
906#3511—792no—
907#3511—794no—
908#3508—792no—
909#3507—792no—
910#3506—792no—
911#3503—792no—
912#3501—792no—
913#3499—792no—
914#3497—792no—
915#3494—794no—
916#3489—794no—
917#3444—791no—
918C2×#533—791no—
919C2×#532—791no—
920C79#6283511yescharacteristic, complemented, Sylow
921C2×2−1+4—794no—
922C22×#41—792no—
923#563—794no—
924#563—794no—
925#562—794no—
926#562—798no—
927#562—798no—
928#562C2×D7914yescomplemented
929#559—794no—
930#559—792no—
931#559—792no—
932#559—794no—
933#559—794no—
934Q82—792no—
935Q82—792no—
936#557—794no—
937#556—792no—
938#556—798no—
939#556—792no—
940#556—792no—
941#556—792no—
942#555—798no—
943#555—794no—
944#554—792no—
945#554—794no—
946#554—794no—
947#554—798no—
948#554—794no—
949#554—792no—
950#554—794no—
951#554—794no—
952#554C2×D7912yescomplemented
953#554C2×D7912yescomplemented
954#553—798no—
955#553—798no—
956#553—798no—
957#552—794no—
958#552—794no—
959#551—798no—
960#551—798no—
961#550—792no—
962#550—794no—
963#550—792no—
964#550C2×D7912yescomplemented
965#550C2×D7912yescomplemented
966D4×Q8—792no—
967D4×Q8—798no—
968D4×Q8—794no—
969D4×Q8—792no—
970D4×Q8—792no—
971D4×Q8—794no—
972D4×Q8—792no—
973#548—794no—
974#548—794no—
975#548—794no—
976#548—798no—
977#548—798no—
978#548—794no—
979#547—794no—
980#547—798no—
981#547—798no—
982#547—798no—
983#547—798no—
984#547—794no—
985#547—792no—
986#547—792no—
987#547—794no—
988#547C2×D7912yescomplemented
989#547C2×D7912yescomplemented
990#546—794no—
991#546—798no—
992#546—798no—
993#546—798no—
994#546—794no—
995#544—794no—
996#544—798no—
997#543—798no—
998#542—798no—
999#542—798no—
1000#542—794no—
1001#542—794no—
1002#542—794no—
1003#542—794no—
1004#542—794no—
1005#542—798no—
1006#542—794no—
1007#540—798no—
1008#540—794no—
1009#540C2×D7914yescomplemented
1010#539—798no—
1011#539—798no—
1012#539—798no—
1013#538—798no—
1014#537—794no—
1015#537—794no—
1016#537—794no—
1017#537—798no—
1018#537C2×D7914yescomplemented
1019#537C2×D7914yescomplemented
1020#536—794no—
1021#536—798no—
1022#536—794no—
1023#536—794no—
1024#535—794no—
1025#533—791no—
1026#533—791no—
1027#533—791no—
1028#533—791no—
1029#533—792no—
1030#533—792no—
1031#533—792no—
1032#533—794no—
1033#533—792no—
1034#533—792no—
1035#533—792no—
1036#533—791no—
1037#533—791no—
1038#533C2×D7911yescharacteristic, complemented
1039#532—792no—
1040#532—794no—
1041#532—791no—
1042#532—791no—
1043#532—791no—
1044#532—791no—
1045#532—794no—
1046#532—792no—
1047#532—792no—
1048#532—792no—
1049#532—794no—
1050#532—792no—
1051#532—792no—
1052#532—794no—
1053#532—791no—
1054#532C2×D7911yescharacteristic
1055#532C2×D7911yescharacteristic, complemented
1056C2×C4⋊Q8—791no—
1057C2×C4⋊Q8—791no—
1058C2×C4⋊Q8—791no—
1059C2×C4⋊Q8—794no—
1060C2×#127—791no—
1061#529—794no—
1062#529—792no—
1063#529—792no—
1064#529—792no—
1065#529—792no—
1066#529—792no—
1067#529—792no—
1068#529—794no—
1069C2×#125—792no—
1070C2×#124—792no—
1071#525—792no—
1072#525—794no—
1073#525—792no—
1074#525—792no—
1075#525—794no—
1076C2×C22⋊Q8—792no—
1077C2×C22⋊Q8—792no—
1078C2×C22⋊Q8—794no—
1079C2×C22⋊Q8—794no—
1080C2×#121—792no—
1081C2×#121—792no—
1082#520—794no—
1083#520—794no—
1084#520—794no—
1085#520—794no—
1086#518—794no—
1087C4×#41—792no—
1088C4×#41—792no—
1089C4×#41—792no—
1090C2×C4×Q8—792no—
1091C2×C4×Q8—792no—
1092C2×C4×D4—792no—
1093C2×C4×D4—792no—
1094C2×#117—792no—
1095C22×C42—791no—
10962−1+4—31616no—
1097C2×#41—3168no—
1098C2×#41—792no—
1099C2×#41—794no—
1100C2×#41—792no—
1101C2×#41—794no—
1102C2×#41—798no—
1103C2×#41—798no—
1104C2×#41—792no—
1105C2×#41—792no—
1106C2×#41—794no—
1107C2×#41—792no—
1108C2×#41—798no—
1109C2×#41—794no—
1110C2×#41C22×D7912yes—
1111C2×#41C22×D7914yes—
1112C2×#41C22×D7914yes—
1113C2×#41C22×D7912yes—
1114C22×Q8—792no—
1115C22×Q8—794no—
1116C22×Q8—792no—
1117C22×Q8—792no—
1118C22×Q8—794no—
1119C22×Q8—798no—
1120C22×D4—792no—
1121C22×D4—794no—
1122C22×D4—792no—
1123C22×D4—792no—
1124C23×C4—794no—
1125C23×C4—791no—
1126C23×C4—791no—
1127C23×C4—791no—
1128C4⋊Q8—792no—
1129C4⋊Q8—792no—
1130C4⋊Q8—792no—
1131C4⋊Q8—798no—
1132C4⋊Q8—792no—
1133C4⋊Q8—792no—
1134C4⋊Q8—792no—
1135C4⋊Q8—792no—
1136C4⋊Q8—792no—
1137C4⋊Q8—792no—
1138C4⋊Q8—798no—
1139C4⋊Q8—794no—
1140C4⋊Q8—794no—
1141C4⋊Q8—798no—
1142C4⋊Q8—794no—
1143C4⋊Q8—798no—
1144C4⋊Q8—791no—
1145C4⋊Q8—791no—
1146C4⋊Q8—791no—
1147C4⋊Q8—791no—
1148C4⋊Q8—791no—
1149C4⋊Q8—794no—
1150C4⋊Q8C22×D7911yescharacteristic
1151C4⋊Q8C22×D7911yescharacteristic
1152C4⋊Q8C22×D7911yescharacteristic
1153C4⋊Q8C22×D7911yescharacteristic
1154#127—792no—
1155#127—792no—
1156#127—792no—
1157#127—794no—
1158#127—791no—
1159#127C22×D7911yescharacteristic
1160#127C22×D7911yescharacteristic
1161#127C22×D7914yes—
1162#126—798no—
1163#126—798no—
1164#126—798no—
1165#126—794no—
1166#126—794no—
1167#126—798no—
1168#126—798no—
1169#126—798no—
1170#125—792no—
1171#125—792no—
1172#125—794no—
1173#125—794no—
1174#125—792no—
1175#125—792no—
1176#125—794no—
1177#125—798no—
1178#125—798no—
1179#125—798no—
1180#125—792no—
1181#125—792no—
1182#125C22×D7912yes—
1183#125C22×D7914yes—
1184#124—792no—
1185#124—794no—
1186#124—792no—
1187#124—792no—
1188#124—792no—
1189#124—794no—
1190#124—794no—
1191#124—798no—
1192#124—798no—
1193#124—798no—
1194#124—794no—
1195#124—794no—
1196#124—798no—
1197#124—798no—
1198#124—798no—
1199#124—798no—
1200#124—792no—
1201#124—794no—
1202#124C22×D7912yes—
1203#124C22×D7912yes—
1204#123—794no—
1205#123—798no—
1206#123—798no—
1207#123—798no—
1208#123—798no—
1209#123—798no—
1210#123—798no—
1211#123—798no—
1212#123—798no—
1213#123—794no—
1214#123—794no—
1215#123—798no—
1216#123—798no—
1217#123—798no—
1218#123—798no—
1219#123—798no—
1220#123—798no—
1221#123C22×D7918yes—
1222#123C22×D7918yes—
1223C22⋊Q8—792no—
1224C22⋊Q8—792no—
1225C22⋊Q8—792no—
1226C22⋊Q8—792no—
1227C22⋊Q8—794no—
1228C22⋊Q8—798no—
1229C22⋊Q8—792no—
1230C22⋊Q8—792no—
1231C22⋊Q8—794no—
1232C22⋊Q8—792no—
1233C22⋊Q8—792no—
1234C22⋊Q8—794no—
1235C22⋊Q8—794no—
1236C22⋊Q8—798no—
1237C22⋊Q8—798no—
1238C22⋊Q8—792no—
1239C22⋊Q8—792no—
1240C22⋊Q8—794no—
1241C22⋊Q8—794no—
1242C22⋊Q8—792no—
1243C22⋊Q8—794no—
1244C22⋊Q8—794no—
1245C22⋊Q8—798no—
1246C22⋊Q8—798no—
1247C22⋊Q8—798no—
1248C22⋊Q8—792no—
1249C22⋊Q8—798no—
1250C22⋊Q8—798no—
1251C22⋊Q8—798no—
1252C22⋊Q8—798no—
1253C22⋊Q8—794no—
1254C22⋊Q8—794no—
1255C22⋊Q8—798no—
1256C22⋊Q8—798no—
1257C22⋊Q8—798no—
1258C22⋊Q8—798no—
1259C22⋊Q8—798no—
1260C22⋊Q8—798no—
1261C22⋊Q8—798no—
1262C22⋊Q8C22×D7912yes—
1263C22⋊Q8C22×D7912yes—
1264C22⋊Q8C22×D7914yes—
1265C22⋊Q8C22×D7914yes—
1266C22⋊Q8C22×D7918yes—
1267C22⋊Q8C22×D7918yes—
1268#121—792no—
1269#121—792no—
1270#121—794no—
1271#121—794no—
1272#121—792no—
1273#121—792no—
1274#121—792no—
1275#121—792no—
1276#121—794no—
1277#121—798no—
1278#121—798no—
1279#121—798no—
1280#121—798no—
1281#121—798no—
1282#121—798no—
1283#121—798no—
1284#121—798no—
1285#121—798no—
1286#121—792no—
1287#121—792no—
1288#121—794no—
1289#121—792no—
1290#121—792no—
1291#121—794no—
1292#121—794no—
1293#121—798no—
1294#121—798no—
1295#121C22×D7912yes—
1296#121C22×D7912yes—
1297#121C22×D7912yes—
1298#121C22×D7912yes—
1299#121C22×D7914yes—
1300#121C22×D7914yes—
1301#121C22×D7918yes—
1302#121C22×D7918yes—
1303#121C22×D7918yes—
1304#121C22×D7918yes—
1305#120—794no—
1306#120—798no—
1307#120—798no—
1308C4×Q8—792no—
1309C4×Q8—792no—
1310C4×Q8—792no—
1311C4×Q8—792no—
1312C4×Q8—794no—
1313C4×Q8—792no—
1314C4×Q8—794no—
1315C4×Q8—792no—
1316C4×Q8—794no—
1317C4×Q8—792no—
1318C4×Q8—792no—
1319C4×Q8—794no—
1320C4×Q8—798no—
1321C4×Q8—794no—
1322C4×Q8—792no—
1323C4×Q8—794no—
1324C4×Q8—792no—
1325C4×Q8—794no—
1326C4×Q8—792no—
1327C4×Q8—792no—
1328C4×Q8—794no—
1329C4×Q8C22×D7912yes—
1330C4×Q8C22×D7912yes—
1331C4×D4—792no—
1332C4×D4—792no—
1333C4×D4—794no—
1334C4×D4—794no—
1335C4×D4—792no—
1336C4×D4—792no—
1337C4×D4—792no—
1338C4×D4—792no—
1339C4×D4—794no—
1340C4×D4—798no—
1341C4×D4—794no—
1342C4×D4—794no—
1343C4×D4—798no—
1344C4×D4—794no—
1345C4×D4—794no—
1346C4×D4—794no—
1347C4×D4—794no—
1348C4×D4—798no—
1349C4×D4—798no—
1350C4×D4—798no—
1351C4×D4—798no—
1352C4×D4—798no—
1353C4×D4—798no—
1354C4×D4—792no—
1355C4×D4—792no—
1356C4×D4—794no—
1357C4×D4—798no—
1358C4×D4—794no—
1359C4×D4—794no—
1360C4×D4—794no—
1361C4×D4—794no—
1362C4×D4—794no—
1363C4×D4—798no—
1364C4×D4—798no—
1365C4×D4—792no—
1366C4×D4—792no—
1367C4×D4—794no—
1368C4×D4C22×D7912yes—
1369C4×D4C22×D7912yes—
1370C4×D4C22×D7912yes—
1371C4×D4C22×D7912yes—
1372C4×D4C22×D7914yes—
1373C4×D4C22×D7914yes—
1374#117—792no—
1375#117—794no—
1376#117—792no—
1377#117—794no—
1378#117—798no—
1379#117—792no—
1380#117—792no—
1381#117—792no—
1382#117—792no—
1383#117—794no—
1384#117—798no—
1385#117—794no—
1386#117—794no—
1387#117—794no—
1388#117—798no—
1389#117—794no—
1390#117C22×D7912yes—
1391C2×C4⋊C4—798no—
1392C2×C4⋊C4—794no—
1393C2×C4⋊C4—798no—
1394C2×C4⋊C4—792no—
1395C2×C4⋊C4—792no—
1396C2×C4⋊C4—792no—
1397C2×C4⋊C4—792no—
1398C2×C4⋊C4—792no—
1399C2×C4⋊C4—794no—
1400C2×C4⋊C4—794no—
1401C2×C4⋊C4—792no—
1402C2×C4⋊C4—794no—
1403C2×C4⋊C4—798no—
1404C2×C4⋊C4C22×D7914yes—
1405C2×C4⋊C4C22×D7914yes—
1406C2×C22⋊C4—798no—
1407C2×C22⋊C4—794no—
1408C2×C22⋊C4—794no—
1409C2×C22⋊C4—794no—
1410C2×C22⋊C4—798no—
1411C2×C42—794no—
1412C2×C42—791no—
1413C2×C42—791no—
1414C2×C42—791no—
1415C2×C42—794no—
1416C2×C42—791no—
1417C2×C42—791no—
1418C2×C42—791no—
1419C2×C42—791no—
1420C2×C42—791no—
1421C2×C42—791no—
1422C2×C42—791no—
1423C2×C42—791no—
1424C2×C42C22×D7911yescharacteristic
1425C24—794no—
1426C24—791no—
1427#41—44no—
1428#41—44no—
1429#41—48no—
1430#41—48no—
1431#41—3168no—
1432#41—3164no—
1433#41—31616no—
1434#41—3168no—
1435#41—3168no—
1436#41—31616no—
1437#41—3164no—
1438#41—31616no—
1439#41—3164no—
1440#41—15816no—
1441#41—1588no—
1442#41—1588no—
1443C2×Q8—3168no—
1444C2×Q8—31616no—
1445C2×Q8—3164no—
1446C2×Q8—3168no—
1447C2×Q8—3164no—
1448C2×Q8—794no—
1449C2×Q8—798no—
1450C2×Q8—798no—
1451C2×Q8—792no—
1452C2×Q8—792no—
1453C2×Q8—792no—
1454C2×Q8—792no—
1455C2×Q8—792no—
1456C2×Q8—794no—
1457C2×Q8—794no—
1458C2×Q8—1588no—
1459C2×Q8C23×D7912yes—
1460C2×Q8C23×D7912yes—
1461C2×Q8C23×D7912yes—
1462C2×Q8C23×D7912yes—
1463C2×D4—3168no—
1464C2×D4—3164no—
1465C2×D4—3164no—
1466C2×D4—798no—
1467C2×D4—794no—
1468C2×D4—798no—
1469C2×D4—794no—
1470C2×D4—794no—
1471C2×D4—794no—
1472C2×D4—794no—
1473C2×D4—794no—
1474C2×D4—794no—
1475C2×D4—792no—
1476C2×D4—792no—
1477C2×D4—792no—
1478C2×D4—794no—
1479C2×D4—1588no—
1480C2×D4C23×D7912yes—
1481C2×D4C23×D7912yes—
1482C2×D4C23×D7912yes—
1483C2×D4C23×D7912yes—
1484C2×D4C23×D7914yes—
1485C2×D4C23×D7918yes—
1486C2×D4C23×D7912yes—
1487C2×D4C23×D7918yes—
1488C2×D4C23×D7914yes—
1489C2×D4C23×D7912yes—
1490C22×C4—3162no—
1491C22×C4—3168no—
1492C22×C4—791no—
1493C22×C4—798no—
1494C22×C4—794no—
1495C22×C4—798no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—794no—
1499C22×C4—794no—
1500C22×C4—798no—
1501C22×C4—798no—
1502C22×C4—794no—
1503C22×C4—791no—
1504C22×C4—791no—
1505C22×C4—791no—
1506C22×C4—791no—
1507C22×C4—794no—
1508C22×C4—794no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—791no—
1517C22×C4—794no—
1518C22×C4—794no—
1519C22×C4—1584no—
1520C22×C4—1584no—
1521C22×C4C23×D7911yescharacteristic
1522C22×C4C23×D7911yescharacteristic
1523C22×C4C23×D7911yescharacteristic
1524C22×C4C23×D7914yes—
1525C22×C4C23×D7914yes—
1526C22×C4C23×D7918yes—
1527C22×C4C23×D7918yes—
1528C4⋊C4—794no—
1529C4⋊C4—794no—
1530C4⋊C4—794no—
1531C4⋊C4—794no—
1532C4⋊C4—794no—
1533C4⋊C4—794no—
1534C4⋊C4—798no—
1535C4⋊C4—798no—
1536C4⋊C4—798no—
1537C4⋊C4—798no—
1538C4⋊C4—794no—
1539C4⋊C4—794no—
1540C4⋊C4—794no—
1541C4⋊C4—794no—
1542C4⋊C4—794no—
1543C4⋊C4—794no—
1544C4⋊C4—794no—
1545C4⋊C4—794no—
1546C4⋊C4—794no—
1547C4⋊C4—792no—
1548C4⋊C4—792no—
1549C4⋊C4—792no—
1550C4⋊C4—794no—
1551C4⋊C4—798no—
1552C4⋊C4—792no—
1553C4⋊C4—792no—
1554C4⋊C4—792no—
1555C4⋊C4—798no—
1556C4⋊C4—794no—
1557C4⋊C4—792no—
1558C4⋊C4—794no—
1559C4⋊C4—792no—
1560C4⋊C4—792no—
1561C4⋊C4—792no—
1562C4⋊C4C23×D7912yes—
1563C4⋊C4C23×D7912yes—
1564C4⋊C4C23×D7912yes—
1565C4⋊C4C23×D7912yes—
1566C4⋊C4C23×D7918yes—
1567C4⋊C4C23×D7912yes—
1568C4⋊C4C23×D7912yes—
1569C4⋊C4C23×D7912yes—
1570C4⋊C4C23×D7914yes—
1571C4⋊C4C23×D7914yes—
1572C4⋊C4C23×D7918yes—
1573C4⋊C4C23×D7912yes—
1574C22⋊C4—794no—
1575C22⋊C4—794no—
1576C22⋊C4—798no—
1577C22⋊C4—794no—
1578C22⋊C4—794no—
1579C22⋊C4—794no—
1580C22⋊C4—798no—
1581C22⋊C4—798no—
1582C22⋊C4—794no—
1583C22⋊C4—794no—
1584C22⋊C4—798no—
1585C22⋊C4—794no—
1586C22⋊C4—794no—
1587C22⋊C4—794no—
1588C22⋊C4—794no—
1589C22⋊C4—794no—
1590C22⋊C4—794no—
1591C22⋊C4—798no—
1592C22⋊C4—798no—
1593C22⋊C4—794no—
1594C22⋊C4—794no—
1595C22⋊C4—794no—
1596C22⋊C4—798no—
1597C22⋊C4—798no—
1598C22⋊C4C23×D7914yes—
1599C22⋊C4C23×D7914yes—
1600C22⋊C4C23×D7914yes—
1601C22⋊C4C23×D7918yes—
1602C22⋊C4C23×D7914yes—
1603C22⋊C4C23×D7918yes—
1604C22⋊C4C23×D7914yes—
1605C42—791no—
1606C42—791no—
1607C42—791no—
1608C42—791no—
1609C42—791no—
1610C42—791no—
1611C42—791no—
1612C42—791no—
1613C42—791no—
1614C42—791no—
1615C42—791no—
1616C42—791no—
1617C42—794no—
1618C42—794no—
1619C42—794no—
1620C42—794no—
1621C42—794no—
1622C42—794no—
1623C42—798no—
1624C42—798no—
1625C42C23×D7911yescharacteristic
1626C42C23×D7911yescharacteristic
1627C42C23×D7911yescharacteristic
1628C42C23×D7911yescharacteristic
1629C42C23×D7914yes—
1630C23—3161no—
1631C23—3164no—
1632C23—3164no—
1633C23—791no—
1634C23—791no—
1635C23—794no—
1636C23—1582no—
1637C23—1582no—
1638C23—1588no—
1639C23C24×D7914yes—
1640C23C24×D7911yescharacteristic
1641C23C24×D7914yes—
1642Q8—24no—
1643Q8—24no—
1644Q8—42no—
1645Q8—42no—
1646Q8—3168no—
1647Q8—3168no—
1648Q8—3162no—
1649Q8—3164no—
1650Q8—1588no—
1651Q8—1588no—
1652Q8—1584no—
1653Q8—1584no—
1654Q8—1584no—
1655Q8—1584no—
1656D4—24no—
1657D4—24no—
1658D4—24no—
1659D4—24no—
1660D4—44no—
1661D4—42no—
1662D4—44no—
1663D4—42no—
1664D4—48no—
1665D4—48no—
1666D4—3162no—
1667D4—3164no—
1668D4—3164no—
1669D4—3168no—
1670D4—3168no—
1671D4—1588no—
1672D4—1588no—
1673D4—1588no—
1674D4—1588no—
1675D4—1588no—
1676D4—1588no—
1677D4—1584no—
1678D4—1584no—
1679C2×C4—28no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—28no—
1684C2×C4—48no—
1685C2×C4—48no—
1686C2×C4—3164no—
1687C2×C4—3164no—
1688C2×C4—3161no—
1689C2×C4—3161no—
1690C2×C4—3168no—
1691C2×C4—3164no—
1692C2×C4—3168no—
1693C2×C4—3164no—
1694C2×C4—3161no—
1695C2×C4—3168no—
1696C2×C4—3168no—
1697C2×C4—791no—
1698C2×C4—791no—
1699C2×C4—794no—
1700C2×C4—794no—
1701C2×C4—791no—
1702C2×C4—794no—
1703C2×C4—791no—
1704C2×C4—794no—
1705C2×C4—791no—
1706C2×C4—791no—
1707C2×C4—794no—
1708C2×C4—794no—
1709C2×C4—794no—
1710C2×C4—1582no—
1711C2×C4—1582no—
1712C2×C4—1582no—
1713C2×C4—1582no—
1714C2×C4—1588no—
1715C2×C4—1582no—
1716C2×C4—1582no—
1717C2×C4—1588no—
1718C2×C4—1588no—
1719C2×C4—1582no—
1720C2×C4—1588no—
1721C2×C4—1582no—
1722C2×C4—1582no—
1723C2×C4—1582no—
1724C2×C4C24×D7914yes—
1725C2×C4C24×D7911yescharacteristic
1726C2×C4C24×D7911yescharacteristic
1727C2×C4C24×D7911yescharacteristic
1728C2×C4C24×D7914yes—
1729C2×C4C24×D7914yes—
1730C2×C4C24×D7914yes—
1731C2×C4C24×D7911yescharacteristic
1732C2×C4C24×D7911yescharacteristic
1733C2×C4C24×D7911yescharacteristic
1734C22—24no—
1735C22—21no—
1736C22—24no—
1737C22—21no—
1738C22—24no—
1739C22—24no—
1740C22—21no—
1741C22—24no—
1742C22—24no—
1743C22—3164no—
1744C22—792no—
1745C22—792no—
1746C22—6328no—
1747C22—1584no—
1748C22—1584no—
1749C22—1584no—
1750C22—1581no—
1751C22—1581no—
1752C22—1581no—
1753C22—1581no—
1754C22C25×D7911yescharacteristic
1755C4—24no—
1756C4—21no—
1757C4—24no—
1758C4—21no—
1759C4—24no—
1760C4—21no—
1761C4—24no—
1762C4—792no—
1763C4—792no—
1764C4—1581no—
1765C4—1584no—
1766C4—1584no—
1767C4—1584no—
1768C4—1581no—
1769C4—1584no—
1770C4—1584no—
1771C4—1581no—
1772C4—1581no—
1773C4H(5,𝔽2)×D7912yes—
1774C42−1+4×D7912yes—
1775C4#1909939812yes—
1776C2—41no—
1777C2—44no—
1778C2—44no—
1779C2—3164no—
1780C2—1582no—
1781C2—1582no—
1782C2C2×H(5,𝔽2)×D7911yescharacteristic
1783C2C2×2−1+4×D7911yescharacteristic
1784C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3548C2
hypercenter#3548D79
hypocenterC79#62835
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3548

Complements

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

NH ≅ G/Ntype
1. #23777962C2semidirect
2. #23777928C2semidirect
3. #23777861C2semidirect
4. #23777814C2semidirect
5. #23777811C2semidirect
6. #23777798C2semidirect
7. #23777779C2semidirect
8. #23777618C2semidirect
9. #23777484C2semidirect
10. #23777480C2semidirect
11. #23777452C2semidirect
12. #23777440C2semidirect
13. #23777310C2semidirect
14. #23777309C2semidirect
15. #23777270C2semidirect
16. #23777263C2semidirect
17. #23777244C2semidirect
18. #23777214C2semidirect
19. #23777197C2semidirect
20. #23777179C2semidirect
21. #23777165C2semidirect
22. #23777127C2semidirect
23. #23777075C2semidirect
24. #23776695C2semidirect
25. #533×D79C2semidirect
26. #532×D79C2semidirect
27. C79×#3548C2semidirect
28. C2×#14579208C22semidirect
30. #19099317C22semidirect
31. #19099313C22semidirect
32. #19099308C22semidirect
33. #19099308C22semidirect
34. #19099307C22semidirect
35. #19099299C22semidirect
36. #19099299C22semidirect
37. #19099298C22semidirect
38. #19099296C22semidirect
39. #19099296C22semidirect
40. Q8×Dic158C22semidirect
41. #19099293C22semidirect
42. #19099290C22semidirect
43. #19099287C22semidirect
44. #19099286C22semidirect
45. #19099284C22semidirect
46. #19099283C22semidirect
47. #19099283C22semidirect
48. #19099277C22semidirect
49. #19099277C22semidirect
50. #19099274C22semidirect
52. #19099271C22semidirect
53. #19099270C22semidirect
54. #19099270C22semidirect
55. #19099269C22semidirect
57. #19099268C22semidirect
58. #19099258C22semidirect
59. #19099256C22semidirect
60. #19099256C22semidirect
61. #19099248C22semidirect
62. #19099247C22semidirect
65. #19099234C22semidirect
66. #19099233C22semidirect
67. #19099233C22semidirect
68. Q8×D316C22semidirect
69. D4×Dic158C22semidirect
70. D4×Dic158C22semidirect
71. D4×Dic158C22semidirect
72. #19099228C22semidirect
74. #19099226C22semidirect
75. #19099223C22semidirect
76. #19099220C22semidirect
77. #19099220C22semidirect
78. #19099219C22semidirect
79. #19099219C22semidirect
80. #19099219C22semidirect
81. #19099218C22semidirect
82. #19099217C22semidirect
83. #19099215C22semidirect
84. #19099214C22semidirect
85. #19099213C22semidirect
86. #19099213C22semidirect
87. #19099213C22semidirect
88. #19099212C22semidirect
89. #19099211C22semidirect
96. #19099192C22semidirect
98. #19099186C22semidirect
99. #19099186C22semidirect
100. #19099184C22semidirect
101. #19099183C22semidirect
102. #19099181C22semidirect
103. #19099180C22semidirect
104. #19099180C22semidirect
105. #19099180C22semidirect
106. #19099180C22semidirect
107. #19099166C22semidirect
108. #19099163C22semidirect
109. #19099159C22semidirect
110. #19099157C22semidirect
111. #19099156C22semidirect
113. #19099142C22semidirect
114. #19099142C22semidirect
115. #19099142C22semidirect
116. #19099141C22semidirect
117. #19099136C22semidirect
118. #19099136C22semidirect
119. #19099135C22semidirect
120. #19099134C22semidirect
122. #19099120C22semidirect
123. #19099120C22semidirect
128. #19099118C22semidirect
131. #19099116C22semidirect
132. #19099115C22semidirect
133. #19099115C22semidirect
134. #19099115C22semidirect
140. #19099111C22semidirect
141. #19099111C22semidirect
144. #19099110C22semidirect
146. #19099109C22semidirect
149. #19099108C22semidirect
150. C2×#14579160C22semidirect
152. C4⋊Q8×D79C22semidirect
153. C4⋊Q8×D79C22semidirect
155. #19099098C22semidirect
157. #19099095C22semidirect
158. #19099095C22semidirect
159. #19099094C22semidirect
160. #19099094C22semidirect
162. #19099092C22semidirect
163. #125×D79C22semidirect
176. #19099046C22semidirect
177. #19099044C22semidirect
178. #19099044C22semidirect
181. #41×Dic79C22semidirect
183. C4×#11929623C22semidirect
184. C4×Q8×D79C22semidirect
185. C4×Q8×D79C22semidirect
190. #562×C79C22semidirect
191. #554×C79C22semidirect
192. #554×C79C22semidirect
193. #550×C79C22semidirect
194. #550×C79C22semidirect
195. #547×C79C22semidirect
196. #547×C79C22semidirect
197. #540×C79C22semidirect
198. #537×C79C22semidirect
199. #537×C79C22semidirect
200. #533×C79C22semidirect
202. #532×C79C22semidirect
830. C4×D792−1+4semidirect
899. #3548D79semidirect
920. C79#62835semidirect
928. #562C2×D79semidirect
952. #554C2×D79semidirect
953. #554C2×D79semidirect
964. #550C2×D79semidirect
965. #550C2×D79semidirect
988. #547C2×D79semidirect
989. #547C2×D79semidirect
1009. #540C2×D79semidirect
1018. #537C2×D79semidirect
1019. #537C2×D79semidirect
1038. #533C2×D79semidirect
1055. #532C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779622
#237779282
#237778612
#237778142
#237778112
#237777982
#237777792
#237776182
#237774842
#237774802
#237774522
#237774402
#237773102
#237773092
#237772702
#237772632
#237772442
#237772142
#237771972
#237771792
#237771652
#237771272
#237770752
#237766952
#533×D792
#532×D792
C79×#35482
#6283579