Finite Group Databasebeta

← #10972854

Subgroups — #10972854

Order 768.

2294 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5580C211yesmaximal, characteristic
2C2×C4×D3×Q8C211yesmaximal, characteristic, complemented
3C3×#2581C211yesmaximal, characteristic, complemented
4#82499C211yesmaximal, characteristic, complemented
5#82480C211yesmaximal, characteristic, complemented
6#78358C212yesmaximal
7#78211C212yesmaximal, complemented
8#77255C212yesmaximal, complemented
9#77203C212yesmaximal, complemented
10#76619C212yesmaximal, complemented
11#76611C212yesmaximal, complemented
12#76232C212yesmaximal, complemented
13#76197C212yesmaximal, complemented
14#75447C214yesmaximal, complemented
15#75126C214yesmaximal, complemented
16#74240C211yesmaximal, characteristic, complemented
17#74147C211yesmaximal, characteristic, complemented
18#35245—31nomaximal, Sylow
19C22×D3×Q8C2211yescharacteristic
20C2×C3×C4×Q8C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C2×#947C2211yescharacteristic
23C2×#946C2211yescharacteristic
24C2×#946C2212yes—
25C2×Q8×Dic3C2211yescharacteristic
26#5580—28no—
27C4×D3×Q8—28no—
28C2×#898C2212yes—
29C2×#897C2212yes—
30C2×#895C2211yescharacteristic
31C2×#894C2212yes—
32C2×D3×C4⋊C4C2212yes—
33C2×D3×C4⋊C4C2211yescharacteristic
34C2×#890C2211yescharacteristic
35C2×#887C2212yes—
36C2×#887C2211yescharacteristic
37C2×C4×D12C2211yescharacteristic
38C2×C4×D12C2212yes—
39C2×#872C2212yes—
40C2×C42×D3C2212yes—
41C2×C42×D3C2211yescharacteristic
42C2×C4×Dic6C2211yescharacteristic
43C2×C4×Dic6C2212yes—
44C3×#400C2212yes—
45C3×#395C2212yes—
46C3×#391C2212yes—
47C3×#389C2212yes—
48C3×#387C2214yes—
49C3×#382C2211yescharacteristic
50#5230C2212yes—
51#4993C2214yes—
52#4991C2212yes—
53#4990C2214yes—
54#4989C2214yes—
55#4987C2212yes—
56#4987C2212yes—
57#4987C2212yes—
58#4985C2212yes—
59#4981C2212yes—
60#4978C2214yes—
61Dic3×C4⋊C4C2212yes—
62#4972C2214yes—
63#4940C2214yes—
64#4936C2211yescharacteristic
65#4929C2212yes—
66#4928C2212yes—
67#4673C2214yes—
68#4672C2212yes—
69#4670C2214yes—
70#4670C2214yes—
71#4669C2214yes—
72#4669C2214yes—
73#4668C2214yes—
74#4666C2212yes—
75#4665C2214yes—
76#4665C2214yes—
77#4664C2212yes—
78#4661C2212yes—
79#4660C2214yes—
80#4656C2214yes—
81#4654C2214yes—
82#4652C2214yes—
83#4651C2212yes—
84#4648C2212yes—
85#4647C2214yes—
86C2×#529—31no—
87C22×C4×Q8—31no—
88#2853—34no—
89#2634—32no—
90#2632—32no—
91#2604—34no—
92#2591—32no—
93#2583—32no—
94#2581—31no—
95#2581D311yescharacteristic, complemented
96#2536—31no—
97#2536—31no—
98#2487—32no—
99#2409—32no—
100#2323—32no—
101#2323—32no—
102#2283—31no—
103C22×C3×Q8C2311yescharacteristic
104C22×C3×Q8C2311yescharacteristic
105C2×D3×Q8—24no—
106C2×D3×Q8—24no—
107C2×D3×Q8—24no—
108C22×D12C2312yes—
109C22×D12C2311yescharacteristic
110C22×C4×D3C2312yes—
111C22×C4×D3C2312yes—
112C22×C4×D3C2311yescharacteristic
113C22×C4×D3C2311yescharacteristic
114C22×C4×D3C2312yes—
115C22×C4×D3C2311yescharacteristic
116C22×Dic6C2312yes—
117C22×Dic6C2311yescharacteristic
118C3×C4×Q8—24no—
119C3×C4×Q8—24no—
120C2×C3×C4⋊C4C2312yes—
121C2×C3×C4⋊C4C2312yes—
122C2×C3×C4⋊C4C2312yes—
123C2×C3×C4⋊C4C2311yescharacteristic
124C2×C3×C4⋊C4C2311yescharacteristic
125C2×C3×C4⋊C4C2314yes—
126C2×C3×C42C2312yes—
127C2×C3×C42C2312yes—
128C2×C3×C42C2311yescharacteristic
129#947—24no—
130#946—28no—
131#946—24no—
132Q8×Dic3—24no—
133C2×(C2×D3)⋊C4C2314yes—
134C2×(C2×D3)⋊C4C2314yes—
135C2×(C2×D3)⋊C4C2314yes—
136C2×(C2×D3)⋊C4C2312yes—
137C2×(C2×D3)⋊C4C2312yes—
138C2×(C2×D3)⋊C4C2312yes—
139C2×(C2×D3)⋊C4C2312yes—
140C2×(C2×D3)⋊C4C2312yes—
141C2×(C2×D3)⋊C4C2314yes—
142C2×(C2×D3)⋊C4C2314yes—
143C2×C4⋊Dic3C2312yes—
144C2×C4⋊Dic3C2314yes—
145C2×C4⋊Dic3C2312yes—
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2311yescharacteristic
148C2×C4⋊Dic3C2312yes—
149C2×Dic3⋊C4C2312yes—
150C2×Dic3⋊C4C2314yes—
151C2×Dic3⋊C4C2312yes—
152C2×Dic3⋊C4C2312yes—
153C2×Dic3⋊C4C2312yes—
154C2×Dic3⋊C4C2312yes—
155C2×Dic3⋊C4C2314yes—
156C2×C4×Dic3C2312yes—
157C2×C4×Dic3C2312yes—
158C2×C4×Dic3C2312yes—
159C2×C4×Dic3C2314yes—
160C2×C4×Dic3C2311yescharacteristic
161C2×C4×Dic3C2311yescharacteristic
162C2×C4×Dic3C2311yescharacteristic
163#898—28no—
164#897—28no—
165#895—24no—
166#894—28no—
167D3×C4⋊C4—28no—
168D3×C4⋊C4—24no—
169#890—24no—
170#887—24no—
171#887—28no—
172C4×D12—28no—
173C4×D12—24no—
174#872—28no—
175C42×D3—28no—
176C42×D3D418yes—
177C4×Dic6—24no—
178C4×Dic6—28no—
179C3×#95C2314yes—
180C3×#95C2312yes—
181C3×#95C2312yes—
182C3×#95C2314yes—
183C3×#95C2314yes—
184C3⋊#95C2314yes—
185C3⋊#95C2314yes—
186C3⋊#95C2312yes—
187C3⋊#95C2314yes—
188C3⋊#95C2312yes—
189C3⋊#95C2314yes—
190C3⋊#95C2314yes—
191C3⋊#95C2314yes—
192C3⋊#95C2314yes—
193C23×Q8—31no—
194#529—68no—
195C2×#126—32no—
196C2×#125—31no—
197C2×#124—31no—
198C2×#123—32no—
199C2×C22⋊Q8—32no—
200C2×C22⋊Q8—31no—
201C2×C22⋊Q8—32no—
202C2×#121—31no—
203C2×C4×Q8—31no—
204C2×C4×Q8—31no—
205C2×C4×Q8—32no—
206C2×C4×Q8—31no—
207C2×C4×Q8—32no—
208C2×C4×Q8—68no—
209C2×C4×Q8C2×D311yescharacteristic
210C2×C4×Q8C2×D311yescharacteristic
211C2×C4×D4—32no—
212C2×C4×D4—31no—
213C2×#117—32no—
214C22×C4⋊C4—32no—
215C22×C4⋊C4—31no—
216C22×C42—31no—
217C22×C42—32no—
218#400—32no—
219#400—34no—
220#400C2×D312yes—
221#399—34no—
222#398—32no—
223#398—32no—
224#395—32no—
225#395—34no—
226#395C2×D312yes—
227#394—32no—
228#394—32no—
229#393—34no—
230#391—32no—
231#391C2×D312yes—
232#389—34no—
233#389—32no—
234#389—34no—
235#389C2×D312yes—
236#388—34no—
237#388—34no—
238#388—34no—
239#388—34no—
240#388—34no—
241#388—34no—
242#387—34no—
243#387—34no—
244#387—34no—
245#387C2×D314yes—
246#386—34no—
247#386—34no—
248#385—34no—
249#385—34no—
250#383—32no—
251#382—31no—
252#382C2×D311yescharacteristic
253#381—32no—
254#380—32no—
255#380—32no—
256#380—32no—
257C4×C4⋊C4—32no—
258C4×C22⋊C4—32no—
259#376—32no—
260C23×D3C2412yes—
261C23×D3C2411yescharacteristic
262C2×C3×Q8—22no—
263C2×C3×Q8—22no—
264C2×C3×Q8—22no—
265C2×C3×Q8—42no—
266C2×C3×Q8#4114yes—
267C22×C3×C4C2412yes—
268C22×C3×C4C2414yes—
269C22×C3×C4C2412yes—
270C22×C3×C4C2412yes—
271C22×C3×C4C2411yescharacteristic
272C22×C3×C4C2411yescharacteristic
273C22×C3×C4C2412yes—
274C22×C3×C4C2411yescharacteristic
275C22×Dic3C2414yes—
276C22×Dic3C2412yes—
277C22×Dic3C2412yes—
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2411yescharacteristic
280C22×Dic3C2411yescharacteristic
281C22×Dic3C2412yes—
282D3×Q8—232no—
283C2×D12—24no—
284C2×D12—24no—
285C2×D12—24no—
286C2×D12—22no—
287C2×D12—42no—
288C2×C4×D3—24no—
289C2×C4×D3—24no—
290C2×C4×D3—24no—
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C2×C4×D3—24no—
294C2×C4×D3—24no—
295C2×C4×D3—24no—
296C2×C4×D3—24no—
297C2×C4×D3—24no—
298C2×C4×D3—42no—
299C2×C4×D3—44no—
300C2×C4×D3C2×D414yes—
301C2×C4×D3C2×D414yes—
302C2×C4×D3C2×D414yes—
303C2×Dic6—22no—
304C2×Dic6—24no—
305C2×Dic6—22no—
306C2×Dic6—24no—
307C2×Dic6—24no—
308C2×Dic6#4114yes—
309C3×C4⋊C4—24no—
310C3×C4⋊C4—22no—
311C3×C4⋊C4—22no—
312C3×C4⋊C4—24no—
313C3×C4⋊C4—24no—
314C3×C4⋊C4—44no—
315C3×C42—24no—
316C3×C42—24no—
317C3×C42C2×D414yes—
318(C2×D3)⋊C4—24no—
319(C2×D3)⋊C4—28no—
320(C2×D3)⋊C4—24no—
321(C2×D3)⋊C4—28no—
322(C2×D3)⋊C4—24no—
323(C2×D3)⋊C4—24no—
324(C2×D3)⋊C4—24no—
325(C2×D3)⋊C4—28no—
326(C2×D3)⋊C4—44no—
327(C2×D3)⋊C4—44no—
328C4⋊Dic3—22no—
329C4⋊Dic3—22no—
330C4⋊Dic3—24no—
331C4⋊Dic3—24no—
332C4⋊Dic3—24no—
333C4⋊Dic3—28no—
334Dic3⋊C4—24no—
335Dic3⋊C4—28no—
336Dic3⋊C4—24no—
337Dic3⋊C4—24no—
338Dic3⋊C4—24no—
339Dic3⋊C4—24no—
340Dic3⋊C4—44no—
341C4×Dic3—24no—
342C4×Dic3—24no—
343C4×Dic3—24no—
344C4×Dic3—44no—
345C4×Dic3C2×D414yes—
346C4×Dic3C2×D414yes—
347C4×Dic3C2×D414yes—
348C22×Q8—31no—
349C22×Q8—32no—
350C22×Q8—64no—
351C22×Q8—64no—
352C22×Q8—64no—
353C22×Q8C22×D311yescharacteristic
354C22×Q8C22×D311yescharacteristic
355C22×D4—32no—
356C22×D4—31no—
357C23×C4—31no—
358C23×C4—31no—
359C23×C4—31no—
360C23×C4—32no—
361C23×C4—32no—
362C23×C4—32no—
363#126—68no—
364#125—64no—
365#124—64no—
366#123—68no—
367C22⋊Q8—68no—
368C22⋊Q8—64no—
369C22⋊Q8—68no—
370#121—64no—
371C4×Q8—24no—
372C4×Q8—24no—
373C4×Q8—68no—
374C4×Q8—64no—
375C4×Q8—68no—
376C4×Q8—64no—
377C4×Q8—64no—
378C4×D4—68no—
379C4×D4—64no—
380#117—68no—
381C2×C4⋊C4—31no—
382C2×C4⋊C4—32no—
383C2×C4⋊C4—32no—
384C2×C4⋊C4—32no—
385C2×C4⋊C4—32no—
386C2×C4⋊C4—32no—
387C2×C4⋊C4—32no—
388C2×C4⋊C4—31no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—32no—
391C2×C4⋊C4—34no—
392C2×C4⋊C4—34no—
393C2×C4⋊C4—34no—
394C2×C4⋊C4—64no—
395C2×C4⋊C4—68no—
396C2×C4⋊C4C22×D311yescharacteristic
397C2×C4⋊C4C22×D312yes—
398C2×C4⋊C4C22×D311yescharacteristic
399C2×C4⋊C4C22×D312yes—
400C2×C4⋊C4C22×D312yes—
401C2×C4⋊C4C22×D314yes—
402C2×C22⋊C4—32no—
403C2×C22⋊C4—32no—
404C2×C22⋊C4—32no—
405C2×C22⋊C4—32no—
406C2×C22⋊C4—32no—
407C2×C22⋊C4—34no—
408C2×C22⋊C4—34no—
409C2×C22⋊C4—34no—
410C2×C22⋊C4—34no—
411C2×C22⋊C4—34no—
412C2×C42—31no—
413C2×C42—31no—
414C2×C42—31no—
415C2×C42—38no—
416C2×C42—32no—
417C2×C42—32no—
418C2×C42—32no—
419C2×C42—34no—
420C2×C42—68no—
421C2×C42C22×D312yes—
422C2×C42C22×D312yes—
423C2×C42C22×D311yescharacteristic
424#95—34no—
425#95—32no—
426#95—32no—
427#95—34no—
428#95—34no—
429#95—34no—
430#95—34no—
431#95—34no—
432#95—34no—
433#95C22×D312yes—
434#95C22×D312yes—
435#95C22×D314yes—
436#95C22×D314yes—
437#95C22×D314yes—
438C23×C3C2511yescharacteristic
439C22×D3—21no—
440C22×D3—21no—
441C22×D3—22no—
442C22×D3—22no—
443C22×D3—22no—
444C22×D3—22no—
445C22×D3—22no—
446C22×D3—22no—
447C22×D3—22no—
448C22×D3—22no—
449C22×D3C22×D412yes—
450C22×D32−1+414yes—
451C3×Q8—28no—
452C3×Q8—44no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—22no—
460C2×C3×C4—24no—
461C2×C3×C4—24no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—24no—
465C2×C3×C4—22no—
466C2×C3×C4—24no—
467C2×C3×C4—22no—
468C2×C3×C4C22×D412yes—
469C2×C3×C4C22×D412yes—
470C2×C3×C4C22×D412yes—
471C2×C3×C4C2×#4114yes—
472C2×C3×C4C2×#4112yes—
473C2×C3×C4C2×#4112yes—
474C2×Dic3—22no—
475C2×Dic3—21no—
476C2×Dic3—22no—
477C2×Dic3—21no—
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—22no—
483C2×Dic3—24no—
484C2×Dic3—22no—
485C2×Dic3—24no—
486C2×Dic3—24no—
487C2×Dic3—24no—
488C2×Dic3C22×D412yes—
489C2×Dic3C22×D412yes—
490C2×Dic3C22×D412yes—
491C2×Dic3C2×#4114yes—
492D12—44no—
493D12—48no—
494C4×D3—216no—
495C4×D3—28no—
496C4×D3—28no—
497C4×D3—44no—
498C4×D3—48no—
499C4×D3—48no—
500Dic6—216no—
501Dic6—28no—
502C24—31no—
503C24—32no—
504C2×Q8—22no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—34no—
508C2×Q8—42no—
509C2×Q8—64no—
510C2×Q8—64no—
511C2×Q8—632no—
512C2×Q8—62no—
513C2×Q8—64no—
514C2×Q8—62no—
515C2×Q8#23914yes—
516C2×D4—64no—
517C2×D4—64no—
518C2×D4—64no—
519C2×D4—62no—
520C2×D4—122no—
521C22×C4—31no—
522C22×C4—31no—
523C22×C4—32no—
524C22×C4—31no—
525C22×C4—34no—
526C22×C4—34no—
527C22×C4—34no—
528C22×C4—34no—
529C22×C4—32no—
530C22×C4—32no—
531C22×C4—64no—
532C22×C4—64no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—64no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—64no—
539C22×C4—64no—
540C22×C4—64no—
541C22×C4—122no—
542C22×C4—124no—
543C22×C4C23×D312yes—
544C22×C4C23×D314yes—
545C22×C4C23×D312yes—
546C22×C4C23×D312yes—
547C22×C4C23×D311yescharacteristic
548C22×C4C23×D311yescharacteristic
549C22×C4C23×D312yes—
550C22×C4C23×D311yescharacteristic
551C4⋊C4—24no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—44no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—68no—
564C4⋊C4—64no—
565C4⋊C4—62no—
566C4⋊C4—62no—
567C4⋊C4—68no—
568C4⋊C4—64no—
569C4⋊C4—124no—
570C22⋊C4—64no—
571C22⋊C4—64no—
572C22⋊C4—64no—
573C22⋊C4—68no—
574C22⋊C4—64no—
575C22⋊C4—68no—
576C22⋊C4—64no—
577C22⋊C4—68no—
578C22⋊C4—124no—
579C22⋊C4—124no—
580C42—24no—
581C42—24no—
582C42—34no—
583C42—34no—
584C42—34no—
585C42—64no—
586C42—64no—
587C42—64no—
588C42—124no—
589C42D3×D414yes—
590C22×C3C23×D411yescharacteristic
591C22×C3C22×#4111yescharacteristic
592C22×C3C22×#4111yescharacteristic
593C22×C3C2×2−1+412yes—
594C22×C3#58512yes—
595C2×D3—22no—
596C2×D3—22no—
597C2×D3—24no—
598C2×D3—24no—
599C2×D3—42no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—42no—
603C2×D3—42no—
604C2×D3—42no—
605C2×D3—42no—
606C2×D3#53614yes—
607C3×C4—24no—
608C3×C4—22no—
609C3×C4—22no—
610C3×C4—42no—
611C3×C4—42no—
612C3×C4—42no—
613C3×C4—44no—
614C3×C4#52514yes—
615Dic3—22no—
616Dic3—24no—
617Dic3—22no—
618Dic3—22no—
619Dic3—42no—
620Dic3—42no—
621Dic3—44no—
622C23—32no—
623C23—34no—
624C23—61no—
625C23—61no—
626C23—62no—
627C23—62no—
628C23—62no—
629C23—62no—
630C23—62no—
631C23—62no—
632C23—62no—
633C23—62no—
634C23C24×D311yescharacteristic
635Q8—28no—
636Q8—44no—
637Q8—616no—
638Q8—68no—
639D4—124no—
640D4—128no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—24no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—32no—
657C2×C4—32no—
658C2×C4—32no—
659C2×C4—34no—
660C2×C4—68no—
661C2×C4—616no—
662C2×C4—62no—
663C2×C4—61no—
664C2×C4—62no—
665C2×C4—61no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—68no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—64no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—64no—
675C2×C4—64no—
676C2×C4—64no—
677C2×C4—124no—
678C2×C4—128no—
679C2×C4—128no—
680C2×C4C2×D3×D412yes—
681C2×C4C2×D3×D412yes—
682C2×C4C2×D3×D412yes—
683C2×C4C2×#23914yes—
684C2×C4C2×#23912yes—
685C2×C4D3×#4112yes—
686C2×C3C2×#52511yescharacteristic
687C2×C3C2×#53611yescharacteristic
688C2×C3#344911yescharacteristic
689C2×C3#351612yes—
690C2×C3#351612yes—
691D3—24no—
692D3—82no—
693C22—34no—
694C22—62no—
695C22—62no—
696C22—64no—
697C22—64no—
698C22—122no—
699C22—122no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22C22×D3×D411yescharacteristic
706C22C22×#23911yescharacteristic
707C22C2×D3×#4111yescharacteristic
708C22#596412yes—
709C22D3×2−1+412yes—
710C4—22no—
711C4—22no—
712C4—24no—
713C4—42no—
714C4—42no—
715C4—42no—
716C4—44no—
717C4—62no—
718C4—62no—
719C4—62no—
720C4—64no—
721C4—122no—
722C4—122no—
723C4—124no—
724C4#562714yes—
725C3#3524511yescharacteristic, complemented, Sylow
726C2—64no—
727C2—242no—
728C2C2×#562711yescharacteristic
729C2#8603511yescharacteristic
730C2D3×#53611yescharacteristic
731C2#8698712yes—
732C2#8702212yes—
subgroupG/H
center, FrattiniC23C24×D3
commutator, socle, cosocleC23×C3C25
FittingC3×#2581C2
prime radicalC2×#895C22
hypercenter#2581D3
hypocenterC3#35245
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C23 ◁ #2581

Complements

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

NH ≅ G/Ntype
2. C2×C4×D3×Q8C2semidirect
3. C3×#2581C2semidirect
4. #82499C2semidirect
5. #82480C2semidirect
7. #78211C2semidirect
8. #77255C2semidirect
9. #77203C2semidirect
10. #76619C2semidirect
11. #76611C2semidirect
12. #76232C2semidirect
13. #76197C2semidirect
14. #75447C2semidirect
15. #75126C2semidirect
16. #74240C2semidirect
17. #74147C2semidirect
95. #2581D3semidirect
725. C3#35245semidirect

Maximal subgroups

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

subgroupindex
C2×#55802
C2×C4×D3×Q82
C3×#25812
#824992
#824802
#783582
#782112
#772552
#772032
#766192
#766112
#762322
#761972
#754472
#751262
#742402
#741472
#352453