Finite Group Databasebeta

← #11895956

Subgroups — #11895956

Order 1152.

864 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596040C211yesmaximal, characteristic, complemented
2#10593906C211yesmaximal, characteristic
3C3×#5027C211yesmaximal, characteristic, complemented
4C3×#5026C211yesmaximal, characteristic, complemented
5#10591622C211yesmaximal, characteristic, complemented
6#10591622C211yesmaximal, characteristic, complemented
7#10591572C211yesmaximal, characteristic, complemented
8#10591571C211yesmaximal, characteristic, complemented
9#10590554C211yesmaximal, characteristic, complemented
10#10590552C211yesmaximal, characteristic, complemented
11#10590473C211yesmaximal, characteristic, complemented
12#10590471C211yesmaximal, characteristic, complemented
13#10590275C211yesmaximal, characteristic, complemented
14#10590271C211yesmaximal, characteristic, complemented
15#10590255C211yesmaximal, characteristic, complemented
16#80372—31nomaximal
17#79752—31nomaximal
18C2×#3795—21no—
19C32×C4×Q8C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21Q8×C3⋊Dic3C2211yescharacteristic
22#64099—21no—
23#64099C2211yescharacteristic
24#64097—21no—
25#64097C2211yescharacteristic
26#64079—21no—
27#64079C2211yescharacteristic
28C4×#634—21no—
29C4×#634C2211yescharacteristic
30C2×C3×#215C2211yescharacteristic
31C2×C3×#215C2211yescharacteristic
32C2×C3×#215C2211yescharacteristic
33C3×#874C2211yescharacteristic
34C3×C4×D12C2211yescharacteristic
35#63914C2211yescharacteristic
36#63914C2211yescharacteristic
37#63908—21no—
38#63898C2211yescharacteristic
39#63898C2211yescharacteristic
40#63885—21no—
41#63885—21no—
42C3×#835C2211yescharacteristic
43C3×#809C2211yescharacteristic
44C3×#809C2211yescharacteristic
45C3×#809C2211yescharacteristic
46C3×#807C2211yescharacteristic
47C3×C4⋊(C3⋊C8)C2211yescharacteristic
48C3×#803C2211yescharacteristic
49#63575C2211yescharacteristic
50#63573C2211yescharacteristic
51#63572C2211yescharacteristic
52#63572C2211yescharacteristic
53#63563C2211yescharacteristic
54#63563C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5718—31no—
62#5569—31no—
63#5569—31no—
64#5569—61no—
65#5553—31no—
66C3×#460—31no—
67C3×#440—31no—
68#5164—31no—
69#5163—31no—
70#5163—31no—
71#5163—31no—
72#5163—31no—
73Dic3×SD16—31no—
74#5071—31no—
75#5027D311yescharacteristic, complemented
76#5026D311yescharacteristic, complemented
77#5009—31no—
78#4891—31no—
79#4890—31no—
80#4847—31no—
81#4828—31no—
82#4817—31no—
83#4788—31no—
84#4764—31no—
85#4764—31no—
86#4763—31no—
87#4760—31no—
88#4760—31no—
89#4759—31no—
90#4713—31no—
91#4701—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634—21no—
94C2×#634D411yescharacteristic
95C2×C3×D12—21no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×#625—21no—
102C2×#625—21no—
103C2×#625—21no—
104C2×#625—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107#3795—44no—
108C32×C4⋊C4—21no—
109C32×C4⋊C4C2311yescharacteristic
110C32×C42—21no—
111C32×C42C2311yescharacteristic
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)—21no—
115C4⋊(C3⋊Dic3)D411yescharacteristic
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117C4⋊(C3⋊Dic3)C2311yescharacteristic
118#3750—21no—
119#3750—21no—
120#3750—21no—
121#3750—21no—
122#3750D411yescharacteristic
123#3750D411yescharacteristic
124C4×C3⋊Dic3—21no—
125C4×C3⋊Dic3—21no—
126C4×C3⋊Dic3C2311yescharacteristic
127C4×C3⋊Dic3C2311yescharacteristic
128C3×#215—22no—
129C3×#215—22no—
130C3×#215—22no—
131C3×(C2×D3)⋊C4—21no—
132C3×C4⋊Dic3C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134C2×C3×C3⋊C8C2311yescharacteristic
135C2×C3×C3⋊C8C2311yescharacteristic
136C2×C3×C3⋊C8C2311yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139#3368—91noSylow
140C2×#237—61no—
141C2×#235—61no—
142C2×C3×SD16—31no—
143C2×C3×SD16—31no—
144C2×C3×SD16—31no—
145C3×#127—31no—
146C3×C4×Q8—21no—
147C3×C4×Q8C2×D311yescharacteristic
148C3×C4×Q8C2×D311yescharacteristic
149C3×C4×D4—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—61no—
155Q8×Dic3—61no—
156C2×#215C2×D311yescharacteristic
157C2×#215C2×D311yescharacteristic
158C2×#215C2×D311yescharacteristic
159#940—31no—
160#940—31no—
161#940—31no—
162#940—31no—
163#939—61no—
164#939—61no—
165#938—61no—
166D4×Dic3—31no—
167D4×Dic3—31no—
168#930—61no—
169#893—31no—
170#893—31no—
171#890—31no—
172#890—31no—
173#890—61no—
174#890—61no—
175#890—61no—
176#890—62no—
177#888—31no—
178#888—31no—
179#888—61no—
180#888—61no—
181#888—61no—
182#888—62no—
183#884—61no—
184#884—61no—
185#874C2×D311yescharacteristic
186C4×D12C2×D311yescharacteristic
187#870—31no—
188#870—31no—
189#870—61no—
190#870—61no—
191#870—61no—
192#870—62no—
193C4×Dic6—31no—
194C4×Dic6—31no—
195C4×Dic6—61no—
196C4×Dic6—61no—
197C4×Dic6—61no—
198C4×Dic6—62no—
199C3×#107—31no—
200C3×C4⋊C8—31no—
201C3×#103—31no—
202C3×#102—31no—
203C3×#102—31no—
204C3×#102—31no—
205C3×#97—31no—
206#835C2×D311yescharacteristic
207#832—31no—
208#832—31no—
209#832—31no—
210#832—31no—
211#832—31no—
212#832—31no—
213#821—31no—
214#821—31no—
215#821—31no—
216#821—31no—
217#821—31no—
218#821—31no—
219#818—31no—
220#817—31no—
221#815—31no—
222#815—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—31no—
226Dic3⋊C8—31no—
227C8×Dic3—31no—
228C8×Dic3—31no—
229#809C2×D311yescharacteristic
230#809C2×D311yescharacteristic
231#809C2×D311yescharacteristic
232#808—31no—
233#807—31no—
234#807C2×D311yescharacteristic
235C4⋊(C3⋊C8)C2×D311yescharacteristic
236#803C2×D311yescharacteristic
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C22×C3×D3—21no—
240C32×Q8—21no—
241C32×Q8#4112yescomplemented
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2×D411yescharacteristic
246C2×C32×C4C2411yescharacteristic
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249C2×C3⋊Dic3C2×D411yescharacteristic
250C2×C3⋊Dic3C2×D411yescharacteristic
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253#634—22no—
254#634—42no—
255C2×C3×Dic3—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—21no—
261C3×D12—21no—
262C3×D12—42no—
263C3×D12—81no—
264C3×C4×D3—42no—
265#625—42no—
266#625—42no—
267#625—81no—
268#625—81no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#557—91no—
276#550—91no—
277#490—91no—
278#490—91no—
279#486—91no—
280#478—91no—
281#478—91no—
282#474—91no—
283#460—31no—
284#460—91no—
285#460—91no—
286#446—91no—
287#440—31no—
288#440—91no—
289C4×SD16—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C22×C3×C4—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309#237—124no—
310#235—124no—
311C2×D12—21no—
312C2×D12—21no—
313C2×D12C22×D311yescharacteristic
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—21no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×Dic6—31no—
320C2×Dic6—31no—
321C2×Dic6—61no—
322C2×Dic6—61no—
323C2×Dic6—61no—
324C2×Dic6—62no—
325C3×SD16—62no—
326C3×SD16—62no—
327C3×SD16—62no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C3×C4⋊C4—22no—
333C3×C4⋊C4—21no—
334C3×C4⋊C4—21no—
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C22⋊C4—61no—
340C3×C42—22no—
341C3×C42—21no—
342C3×C42—21no—
343C3×C42—21no—
344C3×C42C22×D311yescharacteristic
345C3×C42C22×D311yescharacteristic
346#217—61no—
347#217—61no—
348#215—22no—
349#215—22no—
350#215—22no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—62no—
370C4⋊Dic3—62no—
371C4⋊Dic3—62no—
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—31no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—62no—
384Dic3⋊C4—62no—
385Dic3⋊C4—62no—
386Dic3⋊C4—62no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391C4×Dic3—31no—
392C4×Dic3—31no—
393C4×Dic3—31no—
394C4×Dic3—31no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3—62no—
402C4×Dic3—62no—
403C2×C3⋊C8C22×D311yescharacteristic
404C2×C3⋊C8C22×D311yescharacteristic
405C2×C3⋊C8C22×D311yescharacteristic
406C2×C3⋊C8C22×D311yescharacteristic
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C2×C3×D3—41no—
413C2×C3×D3—41no—
414C2×C3×D3—41no—
415C2×C3×D3—41no—
416C2×C3×D3—41no—
417C32×C4—22no—
418C32×C4—21no—
419C32×C4—21no—
420C32×C4—41no—
421C32×C4C2×#4111yescharacteristic
422C32×C42−1+411yescharacteristic
423C3⋊Dic3—21no—
424C3⋊Dic3—21no—
425C3⋊Dic3—21no—
426C3⋊Dic3—41no—
427C3⋊Dic3—41no—
428C3⋊Dic3AGL(1,ℤ/8)12yes—
429C3×Dic3—41no—
430C2×#41—181no—
431C2×SD16—31no—
432C2×SD16—31no—
433C2×SD16—31no—
434C4⋊Q8—91no—
435C4⋊Q8—181no—
436#127—31no—
437#127—91no—
438#127—91no—
439#125—91no—
440#125—91no—
441#125—181no—
442#125—181no—
443#121—181no—
444#121—181no—
445#121—181no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×Q8—181no—
450C4×Q8D3211yescharacteristic
451C4×D4—31no—
452C4×D4—91no—
453C4×D4—91no—
454#107—31no—
455#107—91no—
456#106—91no—
457C4⋊C8—31no—
458C4⋊C8—91no—
459C4⋊C8—91no—
460#103—31no—
461#102—31no—
462#102—31no—
463#102—31no—
464#102—91no—
465#102—91no—
466#102—91no—
467#102—91no—
468#102—91no—
469#102—91no—
470#97—31no—
471#97—91no—
472C4×C8—91no—
473C23×C3—61no—
474C23×C3—61no—
475C23×C3—61no—
476C22×D3—21no—
477C22×D3—21no—
478C22×D3—21no—
479C3×Q8—22no—
480C3×Q8—21no—
481C3×Q8—21no—
482C3×Q8—22no—
483C3×Q8#23512yescomplemented
484C3×Q8#23712yescomplemented
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—61no—
488C3×D4—61no—
489C3×D4—61no—
490C3×D4—61no—
491C3×D4—122no—
492C3×D4—241no—
493C2×C3×C4—22no—
494C2×C3×C4—21no—
495C2×C3×C4—21no—
496C2×C3×C4—22no—
497C2×C3×C4—21no—
498C2×C3×C4—21no—
499C2×C3×C4—21no—
500C2×C3×C4—21no—
501C2×C3×C4—21no—
502C2×C3×C4—61no—
503C2×C3×C4—122no—
504C2×C3×C4D3×D411yescharacteristic
505C2×C3×C4D3×D411yescharacteristic
506C2×C3×C4D3×D411yescharacteristic
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510#67—122no—
511#67—122no—
512#67—122no—
513#67—122no—
514#67—241no—
515#67—241no—
516#67—241no—
517#67—241no—
518C2×Dic3—21no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—31no—
524C2×Dic3—31no—
525C2×Dic3—31no—
526C2×Dic3—31no—
527C2×Dic3—61no—
528C2×Dic3—61no—
529C2×Dic3—61no—
530C2×Dic3—61no—
531C2×Dic3—62no—
532C2×Dic3—62no—
533C2×Dic3—61no—
534C2×Dic3—61no—
535C2×Dic3—61no—
536C2×Dic3—61no—
537C2×Dic3—122no—
538C2×Dic3—122no—
539D12—21no—
540D12—21no—
541D12—21no—
542D12—21no—
543D12—21no—
544D12—21no—
545D12—42no—
546D12—81no—
547C4×D3—42no—
548C4×D3—122no—
549C4×D3—122no—
550Dic6—62no—
551Dic6—62no—
552Dic6—122no—
553Dic6—122no—
554Dic6—122no—
555Dic6—124no—
556C3×C8—61no—
557C3×C8—61no—
558C3×C8—61no—
559C3×C8—61no—
560C3⋊C8—21no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—21no—
564C2×C32#54811yescharacteristic
565C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
566C2×C32#57711yescharacteristic
567C3×D3—81no—
568C3×D3—81no—
569C3×D3—81no—
570#41—364no—
571C2×Q8—91no—
572C2×Q8—181no—
573C2×Q8C2×D3211yescharacteristic
574C2×D4—31no—
575C2×D4—31no—
576C2×D4—31no—
577C2×D4—61no—
578C2×D4—61no—
579C2×D4—181no—
580C2×D4—181no—
581C2×D4—181no—
582C2×D4—181no—
583C22×C4—61no—
584C22×C4—181no—
585C22×C4—181no—
586SD16—62no—
587SD16—62no—
588SD16—62no—
589C2×C8—31no—
590C2×C8—31no—
591C2×C8—31no—
592C2×C8—31no—
593C4⋊C4—21no—
594C4⋊C4—31no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4C2×D3211yescharacteristic
608C22⋊C4—61no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—21no—
612C42—91no—
613C42—91no—
614C42—181no—
615C42—181no—
616C42C2×D3211yescharacteristic
617C22×C3—21no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3C2×D3×D411yescharacteristic
628C22×C3C2×D3×D411yescharacteristic
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C3×C4—24no—
639C3×C4—21no—
640C3×C4—21no—
641C3×C4—21no—
642C3×C4—21no—
643C3×C4—22no—
644C3×C4—22no—
645C3×C4—21no—
646C3×C4—21no—
647C3×C4—41no—
648C3×C4—41no—
649C3×C4—42no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—121no—
653C3×C4C2×#23511yescharacteristic
654C3×C4C2×#23711yescharacteristic
655C3×C4#101011yescharacteristic
656C3×C4#101011yescharacteristic
657Dic3—32no—
658Dic3—32no—
659Dic3—41no—
660Dic3—62no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—122no—
671Dic3—122no—
672Dic3—121no—
673Dic3—121no—
674Dic3—121no—
675Dic3—121no—
676C32#336811yescharacteristic, complemented, Sylow
677C23—61no—
678C23—61no—
679C23—61no—
680Q8—21no—
681Q8—182no—
682Q8—362no—
683Q8#379512yescomplemented
684D4—61no—
685D4—61no—
686D4—61no—
687D4—61no—
688D4—61no—
689D4—61no—
690D4—122no—
691D4—241no—
692D4—362no—
693D4—362no—
694D4—721no—
695D4—721no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—61no—
699C2×C4—91no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—91no—
703C2×C4—122no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—362no—
707C2×C4—362no—
708C2×C4#381111yescharacteristic
709C2×C4#381111yescharacteristic
710C2×C4C22×D3211yescharacteristic
711C8—61no—
712C8—61no—
713C8—61no—
714C8—61no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—241no—
719C2×C3—241no—
720C2×C3—241no—
721C2×C3#555211yescharacteristic
722C2×C3#559811yescharacteristic
723C2×C3#576211yescharacteristic
724C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
725C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
726C2×C3#577811yescharacteristic
727D3—81no—
728D3—81no—
729D3—81no—
730C22—121no—
731C22—121no—
732C22—121no—
733C22—121no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22C2×#381111yescharacteristic
740C4—22no—
741C4—21no—
742C4—21no—
743C4—41no—
744C4—92no—
745C4—121no—
746C4—181no—
747C4—181no—
748C4—181no—
749C4—361no—
750C4—361no—
751C4C2×#379511yescharacteristic
752C4#6429811yescharacteristic
753C3—21no—
754C3#7975211yescharacteristic, complemented
755C3#8037211yescharacteristic, complemented
756C2—241no—
757C2—241no—
758C2—241no—
759C2#1059491811yescharacteristic
760C2#1059532411yescharacteristic
761C2#1059545811yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radical#10593906C2
hypercenterC4×Q8D32
hypocenterC32#3368
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. #10596040C2semidirect
3. C3×#5027C2semidirect
4. C3×#5026C2semidirect
5. #10591622C2semidirect
6. #10591622C2semidirect
7. #10591572C2semidirect
8. #10591571C2semidirect
9. #10590554C2semidirect
10. #10590552C2semidirect
11. #10590473C2semidirect
12. #10590471C2semidirect
13. #10590275C2semidirect
14. #10590271C2semidirect
15. #10590255C2semidirect
75. #5027D3semidirect
76. #5026D3semidirect
241. C32×Q8#41semidirect
483. C3×Q8#235semidirect
484. C3×Q8#237semidirect
676. C32#3368semidirect
683. Q8#3795semidirect
754. C3#79752semidirect
755. C3#80372semidirect

Maximal subgroups

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

subgroupindex
#105960402
#105939062
C3×#50272
C3×#50262
#105916222
#105915722
#105915712
#105905542
#105905522
#105904732
#105904712
#105902752
#105902712
#105902552
#803723
#797523