Finite Group Databasebeta

← #11889430

Subgroups — #11889430

Order 1152.

797 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595400C211yesmaximal, characteristic
2#10594456C211yesmaximal, characteristic
3#10592496C211yesmaximal, characteristic, complemented
4C3×#4813C211yesmaximal, characteristic, complemented
5C3×#4802C211yesmaximal, characteristic, complemented
6#10591594C211yesmaximal, characteristic, complemented
7#10591580C211yesmaximal, characteristic, complemented
8#10591549C211yesmaximal, characteristic, complemented
9#10590849C211yesmaximal, characteristic, complemented
10#10590791C211yesmaximal, characteristic, complemented
11#10590722C211yesmaximal, characteristic
12D3×#816C211yesmaximal, characteristic, complemented
13#10590604C211yesmaximal, characteristic, complemented
14#10590494C211yesmaximal, characteristic, complemented
15#10590429C211yesmaximal, characteristic, complemented
16#80782—31nomaximal
17#78966—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64153C2211yescharacteristic
21#64099C2211yescharacteristic
22C3×#946C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#897C2211yescharacteristic
27C3×#892C2211yescharacteristic
28C4×#625C2211yescharacteristic
29#63891—21no—
30D3×C4⋊Dic3C2211yescharacteristic
31#63887—21no—
32#63879—21no—
33#63877—21no—
34#63869—21no—
35#63858—21no—
36#63857C2211yescharacteristic
37#63856C2211yescharacteristic
38#63851—21no—
39#63843C2211yescharacteristic
40#63843C2211yescharacteristic
41#63839—21no—
42C2×#3719C2211yescharacteristic
43C2×#3718C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63643C2211yescharacteristic
47#63642C2211yescharacteristic
48#63637C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#807C2211yescharacteristic
54#63574C2211yescharacteristic
55#63573C2211yescharacteristic
56#63572C2211yescharacteristic
57#63567C2211yescharacteristic
58#63566C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61Q8×#67—31no—
62#5642—31no—
63#5632—31no—
64#5529—31no—
65C3×#467—31no—
66C3×#419—31no—
67#5228—31no—
68#5186—31no—
69#5182—31no—
70#5137—31no—
71#5127—31no—
72#5111—31no—
73C2×#816—31no—
74#5050—31no—
75#5043—31no—
76#4996—31no—
77#4888—31no—
78#4877—31no—
79#4816—31no—
80#4813D311yescharacteristic, complemented
81#4809—31no—
82#4805—31no—
83#4802D311yescharacteristic, complemented
84D3×#103—31no—
85#4799—31no—
86#4797—31no—
87#4797—31no—
88#4797—61no—
89#4795—31no—
90#4789—31no—
91#4789—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C3×D3×Q8—22no—
95C3×D3×Q8—41no—
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×#625D411yescharacteristic
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114#3750—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#216—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×ΓL(1,𝔽25)—41no—
129C3×D3×C8—41no—
130#3724—21no—
131#3724D411yescharacteristic
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141Dic32—21no—
142#3719—41no—
143#3718—22no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×M16—31no—
151C22×C3×C8—31no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C3×#117—31no—
155#946—31no—
156#946—61no—
157#946C2×D311yescharacteristic
158Q8×Dic3—31no—
159Q8×Dic3—31no—
160#944—31no—
161#944—31no—
162#944—61no—
163#944—61no—
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—31no—
167C2×#216C2×D311yescharacteristic
168C4×#67—31no—
169C4×#67—31no—
170C4×#67—61no—
171C2×C4⋊Dic3—31no—
172#924—31no—
173#924—31no—
174#924—61no—
175C2×Dic12—31no—
176C2×ΓL(1,𝔽25)C2×D311yescharacteristic
177C2×D3×C8C2×D311yescharacteristic
178#898—61no—
179#897—31no—
180#897C2×D311yescharacteristic
181#896—61no—
182#892C2×D311yescharacteristic
183D3×C4⋊C4—31no—
184#890—31no—
185#890—31no—
186#890—61no—
187#890—61no—
188#888—61no—
189#887—31no—
190#887—31no—
191#886—61no—
192#883—61no—
193#67⋊C4—61no—
194#879—61no—
195#878—61no—
196#877—61no—
197#872—61no—
198#870—61no—
199C3×#107—31no—
200C3×#103—21no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#103C2×D311yescharacteristic
206C3×#103C2×D311yescharacteristic
207#835—31no—
208#835—31no—
209#835—31no—
210#835—61no—
211#835C2×D311yescharacteristic
212#830—31no—
213#830—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216#817—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—61no—
222#816C2×D311yescharacteristic
223#816C2×D311yescharacteristic
224#815—31no—
225#815—31no—
226#815—61no—
227Dic3⋊C8—31no—
228Dic3⋊C8—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—61no—
233#810C2×D311yescharacteristic
234#808—31no—
235#808—31no—
236#808—31no—
237#807C2×D311yescharacteristic
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249#634—21no—
250#634—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—42no—
266C3×Dic6#4112yes—
267#627—42no—
268#625—22no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—31no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—31no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—61no—
294C2×C3×Q8—62no—
295C2×C3×Q8—121no—
296C2×C3×Q8C22×D311yescharacteristic
297C2×C3×Q8C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C2×#67—31no—
302C2×#67—31no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305D3×Q8—22no—
306D3×Q8—41no—
307D3×Q8—62no—
308D3×Q8—121no—
309C2×C4×D3—21no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3C22×D311yescharacteristic
313C2×C4×D3C22×D311yescharacteristic
314C2×Dic6—21no—
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C2×Dic6—62no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—121no—
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C3×Q16—121no—
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8—121no—
330C2×C3×C8C22×D311yescharacteristic
331C2×C3×C8C22×D311yescharacteristic
332C3×C4⋊C4—21no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—61no—
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C42—61no—
343#217—31no—
344#217—31no—
345#217—61no—
346#217—61no—
347#216—41no—
348#216—62no—
349#216—62no—
350#216—121no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—31no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—121no—
369C4⋊Dic3C22×D311yescharacteristic
370C4⋊Dic3C22×D311yescharacteristic
371Dic3⋊C4—21no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—121no—
387Dic3⋊C4—121no—
388Dic3⋊C4—121no—
389C4×Dic3—21no—
390C4×Dic3—31no—
391C4×Dic3—31no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—121no—
403ΓL(1,𝔽25)—41no—
404D3×C8—41no—
405C22×C32C22×D411yescharacteristic
406C2×C3×D3—21no—
407C2×C3×D3—21no—
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3#13712yes—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4H(5,𝔽2)11yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3×Dic3—22no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—31no—
427C22×Q8—91no—
428C2×Q16—31no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—31no—
433C4⋊Q8—91no—
434C4⋊Q8—181no—
435#126—181no—
436#125—91no—
437#125—181no—
438#123—181no—
439C22⋊Q8—31no—
440C22⋊Q8—31no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×D4—91no—
448C4×D4—181no—
449#117—31no—
450#117—181no—
451C2×C4⋊C4—91no—
452#107—31no—
453#106—91no—
454#106—91no—
455C4⋊C8—91no—
456#103—31no—
457#103—31no—
458#103—31no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103D3211yescharacteristic
466C22⋊C8—91no—
467C22⋊C8—91no—
468#97—91no—
469C23×C3—31no—
470C23×C3—31no—
471C22×D3D3×D411yescharacteristic
472C22×D3D3×D411yescharacteristic
473C3×Q8—21no—
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—32no—
478C3×Q8—41no—
479C3×Q8—41no—
480C3×Q8—61no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—122no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—122no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—62no—
505#67—62no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—121no—
521C2×Dic3—121no—
522C2×Dic3—122no—
523C2×Dic3—122no—
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526C4×D3—21no—
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—42no—
531C4×D3—122no—
532C4×D3—122no—
533Dic6—21no—
534Dic6—21no—
535Dic6—21no—
536Dic6—42no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—61no—
541Dic6—121no—
542Dic6—121no—
543Dic6—122no—
544Dic6—122no—
545Dic6#23512yes—
546C3×C8—21no—
547C3×C8—21no—
548C3×C8—41no—
549C3×C8—61no—
550C3×C8—61no—
551C3⋊C8—21no—
552C3⋊C8—21no—
553C3⋊C8—61no—
554C3⋊C8—61no—
555C3⋊C8—121no—
556C2×C32#54611yescharacteristic
557C2×C32C2×#13711yescharacteristic
558C2×C32#57811yescharacteristic
559C3×D3—22no—
560C3×D3—41no—
561C2×Q8—31no—
562C2×Q8—31no—
563C2×Q8—61no—
564C2×Q8—62no—
565C2×Q8—91no—
566C2×Q8—121no—
567C2×Q8—181no—
568C2×Q8—182no—
569C2×Q8—361no—
570C2×Q8C2×D3211yescharacteristic
571C2×D4—91no—
572C22×C4—31no—
573C22×C4—31no—
574C22×C4—61no—
575C22×C4—181no—
576C22×C4—181no—
577Q16—121no—
578Q16—182no—
579Q16—361no—
580M16—121no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—91no—
584C2×C8—121no—
585C2×C8C2×D3211yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—91no—
591C4⋊C4—91no—
592C4⋊C4—181no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4C2×D3211yescharacteristic
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—91no—
606C22⋊C4—91no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C42—61no—
610C42—91no—
611C42—181no—
612C42—181no—
613C22×C3—21no—
614C22×C3—32no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—61no—
618C22×C3—61no—
619C22×C3—61no—
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—21no—
626C2×D3—21no—
627C2×D3#91812yes—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—41no—
633C3×C4—41no—
634C3×C4—61no—
635C3×C4—62no—
636C3×C4—61no—
637C3×C4—81no—
638C3×C4—81no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4—121no—
642C3×C4C2×#23511yescharacteristic
643C3×C4#100411yescharacteristic
644C3×C4#100411yescharacteristic
645C3×C4D3×#4111yescharacteristic
646Dic3—22no—
647Dic3—21no—
648Dic3—21no—
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—61no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3—241no—
664C32#331211yescharacteristic, complemented, Sylow
665C23—31no—
666C23—31no—
667Q8—21no—
668Q8—21no—
669Q8—32no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—122no—
674Q8—181no—
675Q8—181no—
676Q8—362no—
677D4—182no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—91no—
691C2×C4—91no—
692C2×C4—122no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—362no—
696C2×C4—362no—
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—61no—
700C8—61no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—62no—
706C2×C3—121no—
707C2×C3#549011yescharacteristic
708C2×C3#561011yescharacteristic
709C2×C3C2×#91811yescharacteristic
710C2×C3#577111yescharacteristic
711C2×C3D3×#13711yescharacteristic
712C2×C3#577911yescharacteristic
713D3—22no—
714D3—41no—
715C22—32no—
716C22—61no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22D32×D411yescharacteristic
722C4—41no—
723C4—41no—
724C4—61no—
725C4—61no—
726C4—62no—
727C4—121no—
728C4—121no—
729C4—121no—
730C4—181no—
731C4—181no—
732C4—361no—
733C4—361no—
734C4D3×#23511yescharacteristic
735C4#6431311yescharacteristic
736C3—21no—
737C3#7896611yescharacteristic, complemented
738C3#8078211yescharacteristic, complemented
739C2—62no—
740C2—121no—
741C2#1059427311yescharacteristic
742C2#1059475611yescharacteristic
743C2D3×#91811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#625D4
hypercenter#103D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
3. #10592496C2semidirect
4. C3×#4813C2semidirect
5. C3×#4802C2semidirect
6. #10591594C2semidirect
7. #10591580C2semidirect
8. #10591549C2semidirect
9. #10590849C2semidirect
10. #10590791C2semidirect
12. D3×#816C2semidirect
13. #10590604C2semidirect
14. #10590494C2semidirect
15. #10590429C2semidirect
80. #4813D3semidirect
83. #4802D3semidirect
664. C32#3312semidirect
737. C3#78966semidirect
738. C3#80782semidirect

Maximal subgroups

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

subgroupindex
#105954002
#105944562
#105924962
C3×#48132
C3×#48022
#105915942
#105915802
#105915492
#105908492
#105907912
#105907222
D3×#8162
#105906042
#105904942
#105904292
#807823
#789663