Finite Group Databasebeta

← #33966071

Subgroups — #33966071

Order 18688.

1798 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623732C211yesmaximal, characteristic, complemented
2#22622752C214yesmaximal, complemented
3#22622708C214yesmaximal, complemented
4#22622678C214yesmaximal, complemented
5#22622645C214yesmaximal, complemented
6#22620296C212yesmaximal, complemented
7#22620276C211yesmaximal, characteristic, complemented
8#22619782C212yesmaximal, complemented
9#22619736C211yesmaximal, characteristic, complemented
10#22619439C212yesmaximal, complemented
11#22619391C211yesmaximal, characteristic
12#22618872C211yesmaximal, characteristic, complemented
13#22618759C212yesmaximal, complemented
14C2×#17988685C211yesmaximal, characteristic, complemented
15C73×#3507C211yesmaximal, characteristic, complemented
16C2×#14556616C2212yes—
17C22×#11924015C2211yescharacteristic
18#17989298—21no—
19#17989297C2212yes—
20#17989297C2214yes—
21#17989293—22no—
22Q8×D292C2212yes—
23#17989252—21no—
24#17989215C2212yes—
25#17989212—22no—
26#17989144C2211yescharacteristic
27C22⋊Q8×D73—22no—
28#17989061C2212yes—
29C2×C4×D292C2211yescharacteristic
30#17988955C2214yescomplemented
31#17988955C2212yescomplemented
32#17988951C2212yescomplemented
33#17988946C2212yescomplemented
34#17988946C2212yescomplemented
35#17988946C2214yescomplemented
36#17988941C2214yescomplemented
37#17988937C2214yescomplemented
38#17988894C2214yescomplemented
39#17988894C2214yescomplemented
40#17988887C2214yescomplemented
41#17988882C2212yescomplemented
42#17988882C2214yescomplemented
43#17988872C2212yescomplemented
44#17988867C2214yescomplemented
45#17988799C2214yes—
46#17988799C2214yes—
47#17988799C2214yes—
48#17988789C2214yes—
49#17988789C2214yes—
50#17988789C2212yes—
51#17988779C2212yes—
52#17988718C2214yescomplemented
53#17988718C2214yescomplemented
54#17988697C2214yes—
55#17988685C2214yes—
56#17988685C2214yes—
57#17988685C2214yes—
58C4×#11924015C2214yes—
59C4×#11924013C2214yes—
60#17988627C2212yes—
61C2×#14556524C2211yescharacteristic
62#17988614C2212yes—
63#17988611C2211yescharacteristic
64#17988596C2212yes—
65#17988588C2212yes—
66#17988583C2212yes—
67#17988583C2212yes—
68C2×#14556515C2211yescharacteristic
69C2×#14556511C2211yescharacteristic
70#17988543C2212yes—
71C2×#14556502C2211yescharacteristic
72#559×C73C2212yescomplemented
73#557×C73C2212yescomplemented
74#556×C73—21no—
75#556×C73C2214yescomplemented
76#554×C73—21no—
77#552×C73—22no—
78#539×C73—22no—
79#536×C73C2212yes—
80#533×C73C2211yescharacteristic
81#532×C73C2211yescharacteristic
82#529×C73—22no—
83#520×C73C2212yes—
84C2×C4×Q8×C73C2211yescharacteristic
85C2×Q8×D73—22no—
86C22×D292C2311yescharacteristic
87C22×C4×D73—21no—
88#14556616—28no—
89C2×#11924015—24no—
90C2×#11924015C2314yes—
91C2×#11924015C2314yes—
92C2×#11924013C2314yes—
93C2×#11924012C2312yes—
94C22×#10596831C2311yescharacteristic
95C22×#10596831C2311yescharacteristic
96#14556591C2314yes—
97#14556591C2311yescharacteristic
98#14556591C2311yescharacteristic
99#14556590—22no—
100#14556583C2314yes—
101#14556583C2312yes—
102#14556582—22no—
103#14556571—24no—
104#14556571—22no—
105#14556570—21no—
106#14556570—21no—
107#14556569—24no—
108#14556569—24no—
109#14556569—24no—
110#14556568—24no—
111#14556567—24no—
112#14556567—22no—
113C4×Dic146—21no—
114C4×Dic146—21no—
115C4×D292—21no—
116C4×D292—21no—
117C4×D292C2314yes—
118C4×D292C2314yes—
119C4×D292C2312yes—
120C4×D292C2312yes—
121#14556553—22no—
122#14556553—22no—
123#14556550C2312yes—
124C2×C4⋊Dic73C2311yescharacteristic
125C4⋊C4×D73—24no—
126C4⋊C4×D73—22no—
127C2×#11924005—21no—
128C22⋊C4×D73—24no—
129#14556524C2314yes—
130#14556524C2314yes—
131#14556522C2314yes—
132C4⋊#10596831C2312yes—
133C4⋊#10596831C2312yes—
134C4⋊#10596831C2314yes—
135C4⋊#10596831C2314yes—
136#14556515C2314yes—
137#14556515C2312yes—
138#14556515C2314yes—
139#14556515C2314yes—
140#14556515C2312yes—
141#14556515C2312yes—
142#14556515C2312yes—
143#14556515C2314yes—
144#14556512C2312yes—
145#14556512C2314yes—
146#14556512C2312yes—
147#14556512C2312yes—
148#14556512C2312yes—
149#14556511C2314yes—
150#14556502C2312yes—
151#14556502C2312yes—
152#14556502C2314yes—
153C4×#10596831C2314yes—
154C2×#41×C73C2312yes—
155C22×Q8×C73C2311yescharacteristic
156C4⋊Q8×C73D411yescharacteristic
157C4⋊Q8×C73D411yescharacteristic
158C4⋊Q8×C73C2314yes—
159C4⋊Q8×C73C2311yescharacteristic
160#127×C73C2311yescharacteristic
161#126×C73—24no—
162#126×C73—24no—
163#125×C73—22no—
164#125×C73—24no—
165#125×C73D412yes—
166#124×C73—22no—
167#124×C73C2314yes—
168#124×C73C2312yes—
169#123×C73—24no—
170#123×C73—24no—
171C22⋊Q8×C73—24no—
172C22⋊Q8×C73—22no—
173C22⋊Q8×C73—22no—
174C22⋊Q8×C73D412yes—
175C22⋊Q8×C73D412yes—
176#121×C73—21no—
177#121×C73—21no—
178C4×Q8×C73—22no—
179C4×Q8×C73—21no—
180C4×Q8×C73—21no—
181C4×Q8×C73C2312yes—
182C4×Q8×C73C2314yes—
183C4×Q8×C73C2312yes—
184C4×Q8×C73C2312yes—
185C4×Q8×C73C2312yes—
186C4×D4×C73—22no—
187C4×D4×C73—24no—
188C4×D4×C73—21no—
189C4×D4×C73—21no—
190C4×D4×C73C2314yes—
191#117×C73—22no—
192#117×C73—24no—
193#117×C73C2312yes—
194C2×C4⋊C4×C73—21no—
195C2×C4⋊C4×C73—22no—
196C2×C4⋊C4×C73C2311yescharacteristic
197C2×C42×C73—21no—
198C2×C42×C73C2311yescharacteristic
199C23×D73—21no—
200C2×Dic146—21no—
201C2×Dic146—21no—
202C2×Dic146—24no—
203Q8×D73—84no—
204C2×D292—21no—
205C2×D292—22no—
206C2×D292#4114yes—
207C2×D292C2412yes—
208C22×Dic73—21no—
209C2×C4×D73—22no—
210C2×C4×D73—24no—
211C2×C4×D73—24no—
212C2×C4×D73—22no—
213C2×C4×D73—82no—
214#11924015—28no—
215#11924015—28no—
216#11924013—28no—
217#11924012—24no—
218C2×#10596831—22no—
219C2×#10596831—22no—
220C2×#10596831C2412yes—
221C2×#10596831C2414yes—
222C2×#10596831C2412yes—
223C4⋊Dic73—21no—
224C4⋊Dic73—24no—
225C4⋊Dic73—21no—
226C4⋊Dic73—21no—
227C4⋊Dic73C2412yes—
228C4⋊Dic73C2412yes—
229C4⋊Dic73C2412yes—
230#11924007—22no—
231#11924007—24no—
232#11924007—24no—
233#11924007—22no—
234C22⋊Dic73—22no—
235#11924005—24no—
236#11924005—24no—
237#11924005—22no—
238#11924005—22no—
239C4×Dic73—22no—
240#41×C73—24no—
241#41×C73—24no—
242C2×Q8×C73—21no—
243C2×Q8×C73—22no—
244C2×Q8×C73—22no—
245C2×Q8×C73C2×D412yes—
246C2×Q8×C73C2×D412yes—
247C2×Q8×C73C2412yes—
248C2×Q8×C73C2412yes—
249C2×D4×C73—22no—
250C2×D4×C73—21no—
251C2×D4×C73—21no—
252C2×D4×C73C2412yes—
253C22×C4×C73—21no—
254C22×C4×C73—21no—
255C22×C4×C73—22no—
256C22×C4×C73—24no—
257C22×C4×C73C2×D411yescharacteristic
258C22×C4×C73C2×D411yescharacteristic
259C22×C4×C73C2411yescharacteristic
260C4⋊C4×C73—21no—
261C4⋊C4×C73—24no—
262C4⋊C4×C73—22no—
263C4⋊C4×C73—22no—
264C4⋊C4×C73—24no—
265C4⋊C4×C73—21no—
266C4⋊C4×C73—21no—
267C4⋊C4×C73—24no—
268C4⋊C4×C73C2×D412yes—
269C4⋊C4×C73C2×D412yes—
270C4⋊C4×C73C2×D414yes—
271C4⋊C4×C73C2×D412yes—
272C4⋊C4×C73C2×D414yes—
273C4⋊C4×C73C2×D412yes—
274C4⋊C4×C73C2412yes—
275C22⋊C4×C73—22no—
276C22⋊C4×C73—24no—
277C22⋊C4×C73—24no—
278C22⋊C4×C73—22no—
279C22⋊C4×C73—24no—
280C22⋊C4×C73C2×D414yes—
281C42×C73—22no—
282C42×C73—22no—
283C42×C73—24no—
284C42×C73C2×D411yescharacteristic
285C42×C73C2×D411yescharacteristic
286C42×C73C2411yescharacteristic
287C42×C73C2411yescharacteristic
288C42×C73C2414yes—
289C23×C73—22no—
290C23×C73C22×D411yescharacteristic
291C22×D73—22no—
292C22×D73—24no—
293C22×D73—81no—
294C22×D73—81no—
295Q8×C73—22no—
296Q8×C73—22no—
297Q8×C73—22no—
298Q8×C73—22no—
299Q8×C73—42no—
300Q8×C73—42no—
301Q8×C73—42no—
302D4×C73—22no—
303D4×C73—22no—
304D4×C73—42no—
305D4×C73—44no—
306D4×C73—81no—
307C2×C4×C73—22no—
308C2×C4×C73—22no—
309C2×C4×C73—22no—
310C2×C4×C73—41no—
311C2×C4×C73—41no—
312C2×C4×C73—42no—
313C2×C4×C73—44no—
314C2×C4×C73—84no—
315C2×C4×C73—81no—
316C2×C4×C73C22×D411yescharacteristic
317C2×C4×C73C22×D411yescharacteristic
318C2×C4×C73C22×D414yes—
319C2×C4×C73C22×D411yescharacteristic
320C2×C4×C73C22×D411yescharacteristic
321C2×C4×C73C22×D414yes—
322C2×C4×C73C22×D411yescharacteristic
323C2×C4×C73C2×#4112yes—
324C2×C4×C732−1+412yes—
325C2×C4×C73C2511yescharacteristic
326C2×Dic73—22no—
327C2×Dic73—22no—
328C2×Dic73—22no—
329C2×Dic73—81no—
330D292—24no—
331D292—22no—
332D292C2×#4114yes—
333C4×D73—44no—
334C4×D73—84no—
335C4×D73—82no—
336C4×D73—84no—
337Dic146—42no—
338Dic146—84no—
339Dic146—81no—
340#10596831—22no—
341#10596831—24no—
342#10596831—22no—
343C22×C73—21no—
344C22×C73—21no—
345C22×C73—42no—
346C22×C73—42no—
347C22×C73—42no—
348C22×C73#54812yes—
349C22×C73C23×D411yescharacteristic
350C2×D73—24no—
351C2×D73—42no—
352C2×D73—42no—
353C2×D73—84no—
354C4×C73—21no—
355C4×C73—24no—
356C4×C73—21no—
357C4×C73—21no—
358C4×C73—24no—
359C4×C73—21no—
360C4×C73—42no—
361C4×C73—42no—
362C4×C73—42no—
363C4×C73#54812yes—
364C4×C73C22×#4111yescharacteristic
365C4×C73C2×2−1+411yescharacteristic
366Dic73—42no—
367Dic73—42no—
368Dic73—42no—
369#61333—731nomaximal, Sylow
370C2×C73—22no—
371C2×C73—82no—
372C2×C73C2×#54811yescharacteristic
373C2×C73#358511yescharacteristic
374C2×C73#358611yescharacteristic
375D73—44no—
376#3507D7311yescharacteristic, complemented
377#3501—731no—
378#3376—734no—
379#3372—734no—
380#3370—734no—
381#3367—734no—
382#3137—732no—
383#3135—731no—
384#3083—732no—
385#3078—731no—
386#3042—732no—
387#3036—731no—
388#2961—731no—
389#2946—732no—
390C2×#440—731no—
391C73#6133311yescharacteristic, complemented, Sylow
392C2×AGL(1,ℤ/8)—732no—
393C22×SD16—731no—
394#559C2×D7312yescomplemented
395#557C2×D7312yescomplemented
396#556—21no—
397#556C2×D7314yescomplemented
398#554—21no—
399#554—734no—
400#554—732no—
401#554—1461no—
402#554—1462no—
403#552—22no—
404D4×Q8—732no—
405D4×Q8—1461no—
406#544—732no—
407#543—1462no—
408#539—22no—
409#536C2×D7312yes—
410#533—731no—
411#533C2×D7311yescharacteristic
412#532C2×D7311yescharacteristic
413#529—22no—
414C2×C22⋊Q8—1462no—
415#520C2×D7312yes—
416#518—732no—
417C2×C4×Q8C2×D7311yescharacteristic
418C2×C4×D4—731no—
419#491—732no—
420#491—734no—
421#490—732no—
422#489—732no—
423#489—734no—
424#489—732no—
425#488—734no—
426#487—734no—
427#479—734no—
428#479—734no—
429#478—734no—
430#477—732no—
431#477—734no—
432#475—732no—
433#474—734no—
434#463—734no—
435#463—734no—
436#463—734no—
437#461—734no—
438#461—732no—
439#461—734no—
440#459—732no—
441#446—734no—
442#446—734no—
443#442—734no—
444#440—734no—
445#440—734no—
446#440—734no—
447C4×SD16—734no—
448C4×D8—734no—
449#428—732no—
450C2×#107—731no—
451#424—732no—
452#423—731no—
453#419—732no—
454#417—732no—
455#416—732no—
456#416—732no—
457C2×#103—731no—
458C2×#102—731no—
459#405—732no—
460C2×#97—731no—
461C2×#41C22×D7312yes—
462C22×Q8—1462no—
463C22×Q8C22×D7311yescharacteristic
464C22×D4—731no—
465C23×C4—1461no—
466AGL(1,ℤ/8)—1468no—
467C2×SD16—734no—
468C2×SD16—734no—
469C2×SD16—1464no—
470C2×D8—734no—
471C2×M16—732no—
472C22×C8—731no—
473C22×C8—731no—
474C4⋊Q8—731no—
475C4⋊Q8—731no—
476C4⋊Q8—734no—
477C4⋊Q8—1462no—
478C4⋊Q8C22⋊D7311yescharacteristic
479C4⋊Q8C22⋊D7311yescharacteristic
480C4⋊Q8C22×D7311yescharacteristic
481C4⋊Q8C22×D7314yes—
482#127C22×D7311yescharacteristic
483#126—24no—
484#126—24no—
485#125—22no—
486#125—24no—
487#125—732no—
488#125—734no—
489#125—1462no—
490#125C22⋊D7312yes—
491#124—22no—
492#124C22×D7312yes—
493#124C22×D7314yes—
494#123—24no—
495#123—24no—
496C22⋊Q8—24no—
497C22⋊Q8—22no—
498C22⋊Q8—22no—
499C22⋊Q8—1462no—
500C22⋊Q8—1464no—
501C22⋊Q8—1461no—
502C22⋊Q8—1461no—
503C22⋊Q8—1462no—
504C22⋊Q8—1464no—
505C22⋊Q8—1464no—
506C22⋊Q8—1464no—
507C22⋊Q8—1464no—
508C22⋊Q8—1464no—
509C22⋊Q8C22⋊D7312yes—
510C22⋊Q8C22⋊D7312yes—
511#121—21no—
512#121—21no—
513C4×Q8—22no—
514C4×Q8—21no—
515C4×Q8—21no—
516C4×Q8—1461no—
517C4×Q8—1461no—
518C4×Q8C22×D7312yes—
519C4×Q8C22×D7312yes—
520C4×Q8C22×D7314yes—
521C4×Q8C22×D7312yes—
522C4×Q8C22×D7312yes—
523C4×D4—22no—
524C4×D4—24no—
525C4×D4—21no—
526C4×D4—21no—
527C4×D4—732no—
528C4×D4—732no—
529C4×D4—734no—
530C4×D4—734no—
531C4×D4—1462no—
532C4×D4—1462no—
533C4×D4—1461no—
534C4×D4—1461no—
535C4×D4C22×D7314yes—
536#117—22no—
537#117—24no—
538#117—732no—
539#117C22×D7312yes—
540C2×C4⋊C4—21no—
541C2×C4⋊C4—22no—
542C2×C4⋊C4—731no—
543C2×C4⋊C4—1464no—
544C2×C4⋊C4—1462no—
545C2×C4⋊C4C22×D7311yescharacteristic
546C2×C22⋊C4—1461no—
547C2×C22⋊C4—1464no—
548C2×C42—21no—
549C2×C42C22×D7311yescharacteristic
550#107—734no—
551#107—734no—
552#106—734no—
553C4⋊C8—732no—
554C4⋊C8—732no—
555C4⋊C8—734no—
556C4⋊C8—734no—
557#103—734no—
558#103—732no—
559#103—732no—
560#103—732no—
561#103—732no—
562#103—734no—
563#103—734no—
564#103—734no—
565#102—732no—
566#102—732no—
567#102—732no—
568#102—732no—
569#102—734no—
570#102—734no—
571#97—732no—
572#97—732no—
573#97—734no—
574C4×C8—734no—
575C24—1461no—
576#41—24no—
577#41—24no—
578C2×Q8—21no—
579C2×Q8—22no—
580C2×Q8—22no—
581C2×Q8—5844no—
582C2×Q8—1461no—
583C2×Q8—1461no—
584C2×Q8—1464no—
585C2×Q8C2×C22⋊D7312yes—
586C2×Q8C2×C22⋊D7312yes—
587C2×Q8C23×D7312yes—
588C2×Q8C23×D7312yes—
589C2×D4—22no—
590C2×D4—21no—
591C2×D4—21no—
592C2×D4—734no—
593C2×D4—732no—
594C2×D4—1461no—
595C2×D4—1462no—
596C2×D4C23×D7312yes—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—22no—
600C22×C4—24no—
601C22×C4—5842no—
602C22×C4—1462no—
603C22×C4—1461no—
604C22×C4—1464no—
605C22×C4—1464no—
606C22×C4—1462no—
607C22×C4C2×C22⋊D7311yescharacteristic
608C22×C4C2×C22⋊D7311yescharacteristic
609C22×C4C23×D7311yescharacteristic
610SD16—1468no—
611SD16—1468no—
612D8—1468no—
613M16—1464no—
614C2×C8—732no—
615C2×C8—734no—
616C2×C8—732no—
617C2×C8—1462no—
618C2×C8—1462no—
619C4⋊C4—21no—
620C4⋊C4—24no—
621C4⋊C4—22no—
622C4⋊C4—22no—
623C4⋊C4—24no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—24no—
627C4⋊C4—732no—
628C4⋊C4—732no—
629C4⋊C4—732no—
630C4⋊C4—1462no—
631C4⋊C4—1464no—
632C4⋊C4—1464no—
633C4⋊C4—1462no—
634C4⋊C4—1461no—
635C4⋊C4—1461no—
636C4⋊C4—1464no—
637C4⋊C4—1461no—
638C4⋊C4C2×C22⋊D7312yes—
639C4⋊C4C2×C22⋊D7314yes—
640C4⋊C4C2×C22⋊D7312yes—
641C4⋊C4C2×C22⋊D7312yes—
642C4⋊C4C2×C22⋊D7314yes—
643C4⋊C4C2×C22⋊D7312yes—
644C4⋊C4C23×D7312yes—
645C22⋊C4—22no—
646C22⋊C4—24no—
647C22⋊C4—24no—
648C22⋊C4—22no—
649C22⋊C4—24no—
650C22⋊C4—1462no—
651C22⋊C4—1464no—
652C22⋊C4—1464no—
653C22⋊C4—1462no—
654C22⋊C4—1462no—
655C22⋊C4C2×C22⋊D7314yes—
656C42—22no—
657C42—22no—
658C42—24no—
659C42—1462no—
660C42C2×C22⋊D7311yescharacteristic
661C42C2×C22⋊D7311yescharacteristic
662C42C23×D7314yes—
663C42C23×D7311yescharacteristic
664C42C23×D7311yescharacteristic
665C23—22no—
666C23—5841no—
667C23—5841no—
668C23—1462no—
669C23—1464no—
670C23C22×C22⋊D7311yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—22no—
674Q8—22no—
675Q8—42no—
676Q8—42no—
677Q8—42no—
678Q8—2922no—
679Q8—5844no—
680Q8—5841no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—44no—
685D4—81no—
686D4—734no—
687D4—1462no—
688D4—1464no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—84no—
697C2×C4—81no—
698C2×C4—2924no—
699C2×C4—5842no—
700C2×C4—5844no—
701C2×C4—5844no—
702C2×C4—5841no—
703C2×C4—1462no—
704C2×C4—1462no—
705C2×C4—1462no—
706C2×C4C22×C22⋊D7311yescharacteristic
707C2×C4C22×C22⋊D7311yescharacteristic
708C2×C4C22×C22⋊D7314yes—
709C2×C4C22×C22⋊D7311yescharacteristic
710C2×C4C22×C22⋊D7311yescharacteristic
711C2×C4C22×C22⋊D7314yes—
712C2×C4C22×C22⋊D7311yescharacteristic
713C2×C4#41×D7312yes—
714C2×C4#1455663812yes—
715C2×C4C24×D7311yescharacteristic
716C8—1462no—
717C8—1464no—
718C8—1462no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—2922no—
725C22—2922no—
726C22—5844no—
727C22—1464no—
728C22#1798924412yes—
729C22C23×C22⋊D7311yescharacteristic
730C4—21no—
731C4—21no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—2922no—
740C4—2922no—
741C4—2922no—
742C4#1798924412yes—
743C4C2×#41×D7311yescharacteristic
744C4C2×#1455663811yescharacteristic
745C2—22no—
746C2—82no—
747C2—2924no—
748C2C2×#1798924411yescharacteristic
749C2#2262471011yescharacteristic
750C2#2262471811yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3507C2
socleC22×C73C23×D4
prime radical#22619391C2
hypercenter#3507D73
hypocenterC73#61333
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #533 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #22623732C2semidirect
2. #22622752C2semidirect
3. #22622708C2semidirect
4. #22622678C2semidirect
5. #22622645C2semidirect
6. #22620296C2semidirect
7. #22620276C2semidirect
8. #22619782C2semidirect
9. #22619736C2semidirect
10. #22619439C2semidirect
12. #22618872C2semidirect
13. #22618759C2semidirect
14. C2×#17988685C2semidirect
15. C73×#3507C2semidirect
30. #17988955C22semidirect
31. #17988955C22semidirect
32. #17988951C22semidirect
33. #17988946C22semidirect
34. #17988946C22semidirect
35. #17988946C22semidirect
36. #17988941C22semidirect
37. #17988937C22semidirect
38. #17988894C22semidirect
39. #17988894C22semidirect
40. #17988887C22semidirect
41. #17988882C22semidirect
42. #17988882C22semidirect
43. #17988872C22semidirect
44. #17988867C22semidirect
52. #17988718C22semidirect
53. #17988718C22semidirect
72. #559×C73C22semidirect
73. #557×C73C22semidirect
75. #556×C73C22semidirect
376. #3507D73semidirect
391. C73#61333semidirect
394. #559C2×D73semidirect
395. #557C2×D73semidirect
397. #556C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237322
#226227522
#226227082
#226226782
#226226452
#226202962
#226202762
#226197822
#226197362
#226194392
#226193912
#226188722
#226187592
C2×#179886852
C73×#35072
#6133373