Finite Group Databasebeta

← #11660402

Subgroups — #11660402

Order 768.

1786 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#85738C211yesmaximal, characteristic
2C2×C3×#433C211yesmaximal, characteristic, complemented
3#82204C211yesmaximal, characteristic, complemented
4#79382C214yesmaximal, complemented
5#79381C214yesmaximal, complemented
6#79380C214yesmaximal, complemented
7#79379C214yesmaximal, complemented
8#79012C212yesmaximal, complemented
9#79000C212yesmaximal, complemented
10#78596C212yesmaximal, complemented
11#78596C212yesmaximal, complemented
12#78491C211yesmaximal, characteristic, complemented
13#78480C211yesmaximal, characteristic, complemented
14#78458C211yesmaximal, characteristic, complemented
15#78445C211yesmaximal, characteristic, complemented
16#60270—31nomaximal, Sylow
17C2×C3×#117C2211yescharacteristic
18#5791C2212yes—
19C22×#208C2212yes—
20C2×#901C2212yes—
21C2×#901C2212yes—
22#5535C412yes—
23#5534C412yes—
24#5534C412yes—
25#5528C2214yes—
26#5528C2214yes—
27#5518C412yes—
28#5515C412yes—
29#5515C412yes—
30#5494C412yes—
31#5494C412yes—
32#5477C2211yescharacteristic
33C4×#235C2212yes—
34#5470C2211yescharacteristic
35C3×#433C2212yes—
36C3×#433C2212yes—
37C3×#433C2212yes—
38C3×#433C2212yes—
39C2×C3×C4⋊C8C2211yescharacteristic
40C2×C3×C4⋊C8C2211yescharacteristic
41C2×C3×C22⋊C8C2211yescharacteristic
42C2×C3×C22⋊C8C2211yescharacteristic
43C2×C3×#97C2211yescharacteristic
44C2×C3×C4×C8C2211yescharacteristic
45#5110C2212yes—
46#5110C2212yes—
47#5102C2212yes—
48#5102C2212yes—
49#5101C2212yes—
50#5101C2212yes—
51#4999C2214yes—
52#4999C2214yes—
53#4924C2211yescharacteristic
54#4924C2211yescharacteristic
55#4924C2212yes—
56#4840C2214yescomplemented
57#4840C2214yescomplemented
58#4839C2214yescomplemented
59#4839C2214yescomplemented
60#4837C2214yescomplemented
61#4835C2214yescomplemented
62#4833C2214yescomplemented
63D3×C4⋊C8C2214yescomplemented
64#4730C2214yes—
65#4730C2214yes—
66#4729C2214yes—
67#4729C2214yes—
68#4728C2214yes—
69#4728C2214yes—
70#67⋊C8C2214yes—
71#67⋊C8C2214yes—
72#4706C2214yescomplemented
73#4706C2214yescomplemented
74#4701C2214yescomplemented
75#4701C2214yescomplemented
76#4688C2212yescomplemented
77#4688C2212yescomplemented
78C8×D12C2212yescomplemented
79C8×D12C2212yescomplemented
80#4679C2212yescomplemented
81#4679C2212yescomplemented
82C8×Dic6C2212yescomplemented
83C8×Dic6C2212yescomplemented
84#3455—31no—
85#2995—34no—
86#2994—34no—
87#2993—34no—
88#2992—34no—
89#2961—31no—
90#2960—31no—
91#2933—32no—
92#2933—32no—
93#2932—31no—
94#2931—31no—
95#2925—32no—
96C2×#433D311yescharacteristic, complemented
97#2906—32no—
98#2905—31no—
99C23×C3×C4C2311yescharacteristic
100C2×#235C2312yes—
101C22×C3×C8C2311yescharacteristic
102C22×C3×C8C2311yescharacteristic
103C22×C3×C8C2311yescharacteristic
104C22×C3×C8C2311yescharacteristic
105C3×#117C2×C412yes—
106C3×#117C2×C412yes—
107C3×#117C2312yes—
108C3×#117C2312yes—
109C2×C3×C4⋊C4C2×C411yescharacteristic
110C2×C3×C4⋊C4C2×C411yescharacteristic
111C2×C3×C22⋊C4C2×C411yescharacteristic
112C2×C3×C22⋊C4C2×C411yescharacteristic
113C2×C3×C42C2311yescharacteristic
114C2×C3×C42C2311yescharacteristic
115#953C2×C414yes—
116#930C2×C412yes—
117#930C2×C412yes—
118#930C2×C412yes—
119#930C2×C412yes—
120#929C2×C414yes—
121C4×#67C2×C414yes—
122C4×#67C2×C414yes—
123C4×#67C2314yes—
124C4×#67C2314yes—
125#926C2312yes—
126#924C2×C412yes—
127#924C2×C412yes—
128#924C2×C412yes—
129#924C2×C412yes—
130C2×#208—44no—
131C2×#208C2312yes—
132C2×#208C2312yes—
133C2×#208C2314yes—
134C22×C3⋊C8C2314yes—
135#901—44no—
136#901—44no—
137C2×ΓL(1,𝔽25)C2314yes—
138C2×ΓL(1,𝔽25)C2314yes—
139C2×D3×C8C2314yes—
140C2×D3×C8C2314yes—
141#898C2×C414yes—
142#898C2×C414yes—
143#896C2×C414yes—
144#896C2×C414yes—
145#894C2×C414yes—
146#894C2×C414yes—
147#889C2×C414yes—
148#889C2×C414yes—
149#885C2×C414yes—
150#885C2×C414yes—
151#884C2×C414yes—
152#884C2×C414yes—
153#883C2×C414yes—
154#883C2×C414yes—
155#879C2×C414yes—
156#879C2×C414yes—
157#875C2×C412yes—
158#874C2×C411yescharacteristic
159C4×D12C2×C412yes—
160C4×D12C2×C412yes—
161C4×D12C2312yes—
162C4×D12C2312yes—
163#872C2314yes—
164C42×D3C2314yes—
165#870C2×C412yes—
166#869C2×C411yescharacteristic
167#869C2×C411yescharacteristic
168#869C2×C411yescharacteristic
169C4×Dic6C2×C412yes—
170C4×Dic6C2×C412yes—
171C4×Dic6C2312yes—
172C4×Dic6C2312yes—
173C3×C4⋊C8C2312yes—
174C3×C4⋊C8C2312yes—
175C3×C4⋊C8C2312yes—
176C3×C4⋊C8C2312yes—
177C3×C22⋊C8C2312yes—
178C3×C22⋊C8C2312yes—
179C3×C22⋊C8C2312yes—
180C3×C22⋊C8C2312yes—
181C3×#97C2312yes—
182C3×#97C2312yes—
183C3×C4×C8C2311yescharacteristic
184C3×C4×C8C2311yescharacteristic
185C3×C4×C8C2311yescharacteristic
186C3×C4×C8C2311yescharacteristic
187(C2×D3)⋊C8C2314yes—
188(C2×D3)⋊C8C2314yes—
189(C2×D3)⋊C8C2314yes—
190(C2×D3)⋊C8C2314yes—
191#815C2314yes—
192#815C2314yes—
193Dic3⋊C8C2314yes—
194Dic3⋊C8C2314yes—
195Dic3⋊C8C2314yes—
196Dic3⋊C8C2314yes—
197C8×Dic3C2314yes—
198C8×Dic3C2314yes—
199C4⋊(C3⋊C8)C2312yes—
200C4⋊(C3⋊C8)C2312yes—
201C4⋊(C3⋊C8)C2312yes—
202C4⋊(C3⋊C8)C2312yes—
203C4⋊(C3⋊C8)C2314yes—
204C4⋊(C3⋊C8)C2314yes—
205C2×#131—32no—
206C2×#131—32no—
207C22×M16—32no—
208#542—32no—
209#542—32no—
210#541—32no—
211#540—32no—
212#539—32no—
213#539—32no—
214#538—32no—
215#538—32no—
216#533—31no—
217#532—31no—
218#529—34no—
219#529—34no—
220#525—32no—
221C4×#41—32no—
222C2×#117C2×D311yescharacteristic
223#446—34no—
224#446—34no—
225#446—32no—
226#446—32no—
227C8×Q8—32no—
228C8×Q8—32no—
229#436—34no—
230#436—34no—
231#436—32no—
232#436—32no—
233#435—34no—
234#435—34no—
235#435—34no—
236#435—34no—
237#435—34no—
238#435—34no—
239C8×D4—34no—
240C8×D4—34no—
241C8×D4—32no—
242C8×D4—32no—
243#433—34no—
244#433—34no—
245#433C2×D312yes—
246#433C2×D312yes—
247#433C2×D312yes—
248#433C2×D312yes—
249#432—34no—
250#431—34no—
251#424—32no—
252#424—32no—
253#424—34no—
254#424—34no—
255#424—34no—
256#424—34no—
257#423—32no—
258#423—31no—
259#423—31no—
260#423—34no—
261C2×C4⋊C8—34no—
262C2×C4⋊C8C2×D311yescharacteristic
263C2×C4⋊C8C2×D311yescharacteristic
264#408—32no—
265#408—32no—
266C2×C22⋊C8C2×D311yescharacteristic
267C2×C22⋊C8C2×D311yescharacteristic
268#405—32no—
269#405—32no—
270C2×#97C2×D311yescharacteristic
271C2×C4×C8C2×D311yescharacteristic
272C24×C3C22×C411yescharacteristic
273C22×C3×C4—22no—
274C22×C3×C4—22no—
275C22×C3×C4C22×C412yes—
276C22×C3×C4C22×C411yescharacteristic
277C22×C3×C4C22×C411yescharacteristic
278C22×C3×C4C22×C411yescharacteristic
279C22×C3×C4C22×C411yescharacteristic
280C22×C3×C4C22×C411yescharacteristic
281C22×C3×C4C2412yes—
282C22×C3×C4C2411yescharacteristic
283C2×#67C22×C414yes—
284C2×#67C22×C414yes—
285C2×#67C22×C414yes—
286#235—24no—
287#235—24no—
288C2×D12C22×C412yes—
289C2×D12C22×C412yes—
290C2×D12C22×C412yes—
291C2×C4×D3C22×C414yes—
292C2×C4×D3C22×C414yes—
293C2×C4×D3C2414yes—
294C2×Dic6C22×C412yes—
295C2×Dic6C22×C412yes—
296C2×Dic6C22×C412yes—
297C2×C3×C8—22no—
298C2×C3×C8—22no—
299C2×C3×C8—22no—
300C2×C3×C8—22no—
301C2×C3×C8C2411yescharacteristic
302C2×C3×C8C2412yes—
303C2×C3×C8C2411yescharacteristic
304C2×C3×C8C2411yescharacteristic
305C2×C3×C8C2412yes—
306C2×C3×C8C2411yescharacteristic
307C3×C4⋊C4C22×C412yes—
308C3×C4⋊C4C22×C412yes—
309C3×C4⋊C4C22×C412yes—
310C3×C4⋊C4C22×C412yes—
311C3×C22⋊C4C22×C412yes—
312C3×C22⋊C4C22×C412yes—
313C3×C22⋊C4C22×C412yes—
314C3×C22⋊C4C22×C412yes—
315C3×C42C22×C412yes—
316C3×C42C22×C411yescharacteristic
317C3×C42C22×C411yescharacteristic
318C3×C42C2411yescharacteristic
319C3×C42C2411yescharacteristic
320C3×C42C2412yes—
321#217C22×C414yes—
322#217C22×C414yes—
323#217C22×C414yes—
324(C2×D3)⋊C4C22×C414yes—
325(C2×D3)⋊C4C22×C414yes—
326(C2×D3)⋊C4C22×C414yes—
327(C2×D3)⋊C4C22×C414yes—
328(C2×D3)⋊C4C22×C414yes—
329(C2×D3)⋊C4C22×C414yes—
330C4⋊Dic3C22×C412yes—
331C4⋊Dic3C22×C412yes—
332C4⋊Dic3C22×C412yes—
333C4⋊Dic3C22×C412yes—
334C4⋊Dic3C22×C412yes—
335C4⋊Dic3C22×C412yes—
336Dic3⋊C4C22×C414yes—
337Dic3⋊C4C22×C414yes—
338Dic3⋊C4C22×C414yes—
339Dic3⋊C4C22×C414yes—
340Dic3⋊C4C22×C414yes—
341Dic3⋊C4C22×C414yes—
342C4×Dic3C22×C414yes—
343C4×Dic3C22×C414yes—
344C4×Dic3C2414yes—
345#208—24no—
346#208—24no—
347#208—44no—
348C2×C3⋊C8—44no—
349C2×C3⋊C8C2414yes—
350C2×C3⋊C8C2414yes—
351ΓL(1,𝔽25)—44no—
352ΓL(1,𝔽25)—44no—
353D3×C8—44no—
354D3×C8—44no—
355C2×#41—32no—
356C23×C4C22×D311yescharacteristic
357#131—124no—
358#131—124no—
359C2×M16—32no—
360C2×M16—32no—
361C2×M16—34no—
362C2×M16—34no—
363C2×M16—34no—
364C2×M16—124no—
365C22×C8—34no—
366C22×C8—34no—
367C22×C8—34no—
368C22×C8C22×D311yescharacteristic
369C22×C8C22×D311yescharacteristic
370C22×C8C22×D311yescharacteristic
371C22×C8C22×D311yescharacteristic
372C4⋊Q8—31no—
373C4⋊Q8—31no—
374C4⋊Q8—31no—
375#127—31no—
376#126—34no—
377#126—34no—
378#126—34no—
379#126—34no—
380#125—34no—
381#125—34no—
382#125—32no—
383#124—34no—
384#124—34no—
385#124—32no—
386#123—34no—
387#123—34no—
388#123—34no—
389#123—34no—
390#123—34no—
391C22⋊Q8—32no—
392C22⋊Q8—32no—
393C22⋊Q8—32no—
394C22⋊Q8—32no—
395C22⋊Q8—34no—
396C22⋊Q8—34no—
397#121—32no—
398#121—32no—
399#121—32no—
400#121—32no—
401#121—34no—
402#121—34no—
403#120—34no—
404C4×Q8—32no—
405C4×Q8—32no—
406C4×Q8—32no—
407C4×Q8—32no—
408C4×D4—34no—
409C4×D4—34no—
410C4×D4—34no—
411C4×D4—34no—
412C4×D4—32no—
413C4×D4—32no—
414C4×D4—32no—
415C4×D4—32no—
416#117—32no—
417#117—34no—
418#117C4×D312yes—
419#117C4×D312yes—
420#117C22×D312yes—
421#117C22×D312yes—
422C2×C4⋊C4C4×D311yescharacteristic
423C2×C4⋊C4C4×D311yescharacteristic
424C2×C22⋊C4C4×D311yescharacteristic
425C2×C22⋊C4C4×D311yescharacteristic
426C2×C42—34no—
427C2×C42C22×D311yescharacteristic
428C2×C42C22×D311yescharacteristic
429C4⋊C8—34no—
430C4⋊C8—34no—
431C4⋊C8—34no—
432C4⋊C8—34no—
433C4⋊C8—34no—
434C4⋊C8—34no—
435C4⋊C8—32no—
436C4⋊C8—32no—
437C4⋊C8—32no—
438C4⋊C8—32no—
439C4⋊C8C22×D312yes—
440C4⋊C8C22×D312yes—
441C4⋊C8C22×D312yes—
442C4⋊C8C22×D312yes—
443C22⋊C8—34no—
444C22⋊C8—34no—
445C22⋊C8—34no—
446C22⋊C8—34no—
447C22⋊C8C22×D312yes—
448C22⋊C8C22×D312yes—
449C22⋊C8C22×D312yes—
450C22⋊C8C22×D312yes—
451#97—34no—
452#97—34no—
453#97C22×D312yes—
454#97C22×D312yes—
455C4×C8—34no—
456C4×C8—34no—
457C4×C8C22×D311yescharacteristic
458C4×C8C22×D311yescharacteristic
459C4×C8C22×D311yescharacteristic
460C4×C8C22×D311yescharacteristic
461C23×C3—22no—
462C23×C3—41no—
463C23×C3—41no—
464C23×C3C23×C412yes—
465C23×C3C23×C411yescharacteristic
466C22×D3C23×C414yes—
467C2×C3×C4—22no—
468C2×C3×C4—24no—
469C2×C3×C4—22no—
470C2×C3×C4—22no—
471C2×C3×C4—41no—
472C2×C3×C4—41no—
473C2×C3×C4—41no—
474C2×C3×C4—41no—
475C2×C3×C4C23×C412yes—
476C2×C3×C4C23×C412yes—
477C2×C3×C4C23×C411yescharacteristic
478C2×C3×C4C23×C411yescharacteristic
479C2×C3×C4C23×C412yes—
480C2×C3×C4C23×C411yescharacteristic
481C2×C3×C4C23×C411yescharacteristic
482C2×C3×C4C23×C411yescharacteristic
483C2×C3×C4H(5,𝔽2)12yes—
484C2×C3×C42−1+412yes—
485C2×C3×C4C2511yescharacteristic
486#67—28no—
487#67—44no—
488#67—44no—
489C2×Dic3C23×C414yes—
490C2×Dic3C23×C414yes—
491C2×Dic3C23×C414yes—
492D12—24no—
493D12—42no—
494D12—42no—
495C4×D3—24no—
496C4×D3—24no—
497C4×D3—44no—
498C4×D3—44no—
499Dic6—24no—
500Dic6—42no—
501Dic6—42no—
502C3×C8—21no—
503C3×C8—22no—
504C3×C8—21no—
505C3×C8—21no—
506C3×C8—22no—
507C3×C8—21no—
508C3⋊C8—24no—
509C3⋊C8—24no—
510C24C2×C4×D311yescharacteristic
511#41—64no—
512#41—64no—
513C2×Q8—32no—
514C2×Q8—32no—
515C2×Q8—32no—
516C2×D4—34no—
517C2×D4—34no—
518C2×D4—34no—
519C2×D4—32no—
520C2×D4—32no—
521C2×D4—32no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—34no—
525C22×C4—34no—
526C22×C4—34no—
527C22×C4C2×C4×D311yescharacteristic
528C22×C4C2×C4×D312yes—
529C22×C4C2×C4×D311yescharacteristic
530C22×C4C2×C4×D311yescharacteristic
531C22×C4C2×C4×D311yescharacteristic
532C22×C4C2×C4×D311yescharacteristic
533C22×C4C23×D312yes—
534C22×C4C23×D311yescharacteristic
535M16—64no—
536M16—64no—
537M16—124no—
538M16—124no—
539M16—124no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—34no—
545C2×C8—34no—
546C2×C8—124no—
547C2×C8—124no—
548C2×C8—124no—
549C2×C8C23×D311yescharacteristic
550C2×C8C23×D312yes—
551C2×C8C23×D311yescharacteristic
552C2×C8C23×D311yescharacteristic
553C2×C8C23×D311yescharacteristic
554C2×C8C23×D312yes—
555C4⋊C4—32no—
556C4⋊C4—32no—
557C4⋊C4—34no—
558C4⋊C4—34no—
559C4⋊C4—32no—
560C4⋊C4—32no—
561C4⋊C4—34no—
562C4⋊C4—34no—
563C4⋊C4—34no—
564C4⋊C4—34no—
565C4⋊C4—32no—
566C4⋊C4—32no—
567C4⋊C4C2×C4×D312yes—
568C4⋊C4C2×C4×D312yes—
569C4⋊C4C2×C4×D312yes—
570C4⋊C4C2×C4×D312yes—
571C22⋊C4—34no—
572C22⋊C4—34no—
573C22⋊C4—34no—
574C22⋊C4—34no—
575C22⋊C4—34no—
576C22⋊C4—34no—
577C22⋊C4—34no—
578C22⋊C4—34no—
579C22⋊C4—34no—
580C22⋊C4C2×C4×D312yes—
581C22⋊C4C2×C4×D312yes—
582C22⋊C4C2×C4×D312yes—
583C22⋊C4C2×C4×D312yes—
584C42—34no—
585C42—34no—
586C42—34no—
587C42C2×C4×D312yes—
588C42C2×C4×D311yescharacteristic
589C42C2×C4×D311yescharacteristic
590C42C23×D311yescharacteristic
591C42C23×D311yescharacteristic
592C42C23×D312yes—
593C22×C3—21no—
594C22×C3—21no—
595C22×C3—22no—
596C22×C3—22no—
597C22×C3—22no—
598C22×C3—82no—
599C22×C3#52012yes—
600C22×C3C24×C411yescharacteristic
601C2×D3—24no—
602C2×D3—24no—
603C2×D3—24no—
604C3×C4—22no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—22no—
608C3×C4—22no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4#52012yes—
612C3×C4C2×H(5,𝔽2)11yescharacteristic
613C3×C4C2×2−1+411yescharacteristic
614Dic3—24no—
615Dic3—24no—
616Dic3—24no—
617C23—22no—
618C23—34no—
619C23—41no—
620C23—41no—
621C23C22×C4×D312yes—
622C23C22×C4×D311yescharacteristic
623Q8—64no—
624Q8—122no—
625Q8—122no—
626D4—68no—
627D4—64no—
628D4—122no—
629D4—122no—
630D4—124no—
631D4—124no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—24no—
636C2×C4—34no—
637C2×C4—34no—
638C2×C4—34no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—64no—
644C2×C4—64no—
645C2×C4—124no—
646C2×C4—124no—
647C2×C4C22×C4×D312yes—
648C2×C4C22×C4×D312yes—
649C2×C4C22×C4×D311yescharacteristic
650C2×C4C22×C4×D311yescharacteristic
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C22×C4×D311yescharacteristic
653C2×C4C22×C4×D312yes—
654C2×C4C22×C4×D311yescharacteristic
655C2×C4#100912yes—
656C2×C4#101012yes—
657C2×C4C24×D311yescharacteristic
658C8—21no—
659C8—22no—
660C8—21no—
661C8—21no—
662C8—22no—
663C8—21no—
664C8—64no—
665C8—64no—
666C2×C3—22no—
667C2×C3—42no—
668C2×C3C2×#52011yescharacteristic
669C2×C3#357311yescharacteristic
670C2×C3#357311yescharacteristic
671D3—44no—
672C22—21no—
673C22—21no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—64no—
678C22—64no—
679C22—64no—
680C22—82no—
681C22#552312yes—
682C22C23×C4×D311yescharacteristic
683C4—22no—
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—22no—
690C4—64no—
691C4—64no—
692C4—64no—
693C4#552312yes—
694C4C2×#100911yescharacteristic
695C4C2×#101011yescharacteristic
696C3#6027011yescharacteristic, complemented, Sylow
697C2—22no—
698C2—42no—
699C2—124no—
700C2C2×#552311yescharacteristic
701C2#8716011yescharacteristic
702C2#8716011yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC2×C3×#433C2
prime radical#85738C2
cosocleC2×C3×C4C25
hypercenterC2×#433D3
hypocenterC3#60270
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
2. C2×C3×#433C2semidirect
3. #82204C2semidirect
4. #79382C2semidirect
5. #79381C2semidirect
6. #79380C2semidirect
7. #79379C2semidirect
8. #79012C2semidirect
9. #79000C2semidirect
10. #78596C2semidirect
11. #78596C2semidirect
12. #78491C2semidirect
13. #78480C2semidirect
14. #78458C2semidirect
15. #78445C2semidirect
56. #4840C22semidirect
57. #4840C22semidirect
58. #4839C22semidirect
59. #4839C22semidirect
60. #4837C22semidirect
61. #4835C22semidirect
62. #4833C22semidirect
63. D3×C4⋊C8C22semidirect
72. #4706C22semidirect
73. #4706C22semidirect
74. #4701C22semidirect
75. #4701C22semidirect
76. #4688C22semidirect
77. #4688C22semidirect
78. C8×D12C22semidirect
79. C8×D12C22semidirect
80. #4679C22semidirect
81. #4679C22semidirect
82. C8×Dic6C22semidirect
83. C8×Dic6C22semidirect
96. C2×#433D3semidirect
696. C3#60270semidirect

Maximal subgroups

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

subgroupindex
#857382
C2×C3×#4332
#822042
#793822
#793812
#793802
#793792
#790122
#790002
#785962
#784912
#784802
#784582
#784452
#602703