Finite Group Databasebeta

← #11888031

Subgroups — #11888031

Order 1152.

848 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594840C211yesmaximal, characteristic, complemented
2#10594834C211yesmaximal, characteristic
3#10592432C211yesmaximal, characteristic, complemented
4C3×#67⋊C8C211yesmaximal, characteristic, complemented
5C3×#4723C211yesmaximal, characteristic, complemented
6#10591187C211yesmaximal, characteristic, complemented
7#10591105C211yesmaximal, characteristic, complemented
8#10590970C211yesmaximal, characteristic, complemented
9#10590890C211yesmaximal, characteristic, complemented
10#10590852C211yesmaximal, characteristic, complemented
11#10590808C211yesmaximal, characteristic, complemented
12#10590764C211yesmaximal, characteristic, complemented
13#10590758C211yesmaximal, characteristic, complemented
14#10590709C211yesmaximal, characteristic, complemented
15#10590690C211yesmaximal, characteristic, complemented
16#81544—31nomaximal
17#79442—31nomaximal
18C2×#3828C2211yescharacteristic
19C2×#3799C2211yescharacteristic
20#64133C2211yescharacteristic
21C2×#3746C2211yescharacteristic
22C2×#3744C2211yescharacteristic
23C3×C4×#67C2211yescharacteristic
24C3×#926C2211yescharacteristic
25C3×#924C2211yescharacteristic
26C22×C3×C3⋊C8C2211yescharacteristic
27C2×C3×D3×C8C2211yescharacteristic
28#63975—21no—
29#63959—21no—
30#63958—21no—
31#63956—21no—
32#63918C2211yescharacteristic
33#63894C2211yescharacteristic
34#63883—21no—
35#63866C2211yescharacteristic
36#63859—21no—
37#63857C2211yescharacteristic
38#63857C2211yescharacteristic
39#63853—21no—
40#63844C2211yescharacteristic
41#63841C2211yescharacteristic
42#63837—21no—
43C2×#3719C2211yescharacteristic
44C32×C22⋊C8C2211yescharacteristic
45#63648C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×#818C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54#63575C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63567C2211yescharacteristic
58#63566C2211yescharacteristic
59#63564C2211yescharacteristic
60#63564C2211yescharacteristic
61#5631—31no—
62#5551—31no—
63#5542—31no—
64#5533—31no—
65C3×#485—31no—
66C3×C8×D4—31no—
67#5116—31no—
68#5116—31no—
69#5113—31no—
70#5113—31no—
71#5051—31no—
72#5002—31no—
73#4890—31no—
74#4887—31no—
75#4868—31no—
76#4852—31no—
77#4849—31no—
78#4846—31no—
79#4808—31no—
80#4804—31no—
81#4795—31no—
82#4792—31no—
83#4733—31no—
84#4733—31no—
85#4733—31no—
86#4733—61no—
87#67⋊C8D311yescharacteristic, complemented
88#4723—31no—
89#4723D311yescharacteristic, complemented
90C4×#204—31no—
91#4681—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#638—21no—
94#3828—22no—
95#3828—41no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C4×C3⋊D3—21no—
98C2×#634C2311yescharacteristic
99C2×#634C2311yescharacteristic
100C2×C3×#67D411yescharacteristic
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#627—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×#624—21no—
107#3799—22no—
108#3799—41no—
109C2×C32×C8C2311yescharacteristic
110C2×C32×C8C2311yescharacteristic
111#3757—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113#3750—21no—
114#3746—41no—
115#3744—22no—
116C3×#217—21no—
117C3×#217—21no—
118C3×#217D411yescharacteristic
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8—41no—
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×D3×C8—41no—
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137#3722—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3—21no—
141Dic32—21no—
142Dic32—21no—
143#3719—41no—
144#3302—91noSylow
145C2×#239—31no—
146C2×#235—31no—
147C2×#235—31no—
148C2×#235—31no—
149C2×#235—61no—
150C22×C3×C8—31no—
151C22×C3×C8—31no—
152C3×C22⋊Q8—31no—
153C3×C4×D4—31no—
154C3×#117—31no—
155#944—31no—
156C2×#216—31no—
157#938—61no—
158#936—61no—
159C4×#67C2×D311yescharacteristic
160#926—31no—
161#926C2×D311yescharacteristic
162#924—31no—
163#924—31no—
164#924—31no—
165#924—31no—
166#924—61no—
167#924C2×D311yescharacteristic
168C22×C3⋊C8C2×D311yescharacteristic
169C2×Dic12—31no—
170C2×Dic12—31no—
171C2×Dic12—31no—
172C2×Dic12—61no—
173C2×#204—31no—
174C2×#204—31no—
175C2×#204—61no—
176C2×D3×C8C2×D311yescharacteristic
177#897—31no—
178#897—31no—
179#894—61no—
180#893—31no—
181#892—31no—
182D3×C4⋊C4—61no—
183D3×C4⋊C4—61no—
184#888—31no—
185#887—31no—
186#887—61no—
187#885—61no—
188#884—61no—
189#883—61no—
190#883—61no—
191#883—61no—
192#879—61no—
193#879—61no—
194#879—61no—
195#876—61no—
196C4×D12—31no—
197#869—31no—
198#869—31no—
199C4×Dic6—31no—
200C4×Dic6—61no—
201C3×#107—31no—
202C3×#106—31no—
203C3×C4⋊C8—31no—
204C3×#103—31no—
205C3×#103—31no—
206C3×C22⋊C8—21no—
207C3×C22⋊C8—31no—
208C3×C22⋊C8C2×D311yescharacteristic
209C3×C22⋊C8C2×D311yescharacteristic
210C3×C4×C8—31no—
211#835—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—31no—
216#821—61no—
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818C2×D311yescharacteristic
220#817C2×D311yescharacteristic
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—61no—
228#816C2×D311yescharacteristic
229#816C2×D311yescharacteristic
230Dic3⋊C8C2×D311yescharacteristic
231C8×Dic3C2×D311yescharacteristic
232#810—31no—
233#810—31no—
234#810—31no—
235#809—31no—
236#809—31no—
237#807—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3⋊D3—21no—
240C22×C3×D3C2×D411yescharacteristic
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245#638—42no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248C2×C3⋊Dic3—21no—
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)#4112yes—
251C4×C3⋊D3—42no—
252#634—21no—
253#634—21no—
254#634—21no—
255#634—21no—
256C3×#67—22no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3—21no—
260C2×C3×Dic3—21no—
261C2×C3×Dic3C2×D411yescharacteristic
262C2×C3×Dic3C2×D411yescharacteristic
263C2×C3×Dic3C2×D411yescharacteristic
264C3×C4×D3—21no—
265C3×C4×D3—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268#627—42no—
269#626—42no—
270#624—42no—
271#624—42no—
272C32×C8—21no—
273C32×C8—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#556—91no—
277#547—91no—
278#487—91no—
279#485—31no—
280#485—91no—
281#474—91no—
282#467—91no—
283#467—91no—
284#462—91no—
285#452—91no—
286#452—91no—
287C4×SD16—91no—
288C8×D4—31no—
289#416—91no—
290#416—91no—
291C2×C3×Q8—31no—
292C2×C3×D4—31no—
293C22×C3×C4—21no—
294C22×C3×C4—31no—
295C22×C3×C4C22×D311yescharacteristic
296C22×C3×C4C22×D311yescharacteristic
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—121no—
301C2×#67D1211yescharacteristic
302#239—62no—
303#239—121no—
304#235—62no—
305#235—62no—
306#235—62no—
307#235—122no—
308#235—121no—
309#235—121no—
310#235—121no—
311#235—122no—
312C2×D12—31no—
313C2×D12—31no—
314C2×D12—61no—
315C2×D12—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—121no—
323C2×C4×D3C22×D311yescharacteristic
324C2×Dic6—31no—
325C2×Dic6—31no—
326C2×Dic6—31no—
327C2×Dic6—31no—
328C2×Dic6—61no—
329C2×Dic6—61no—
330C2×Dic6—61no—
331C2×Dic6—61no—
332C2×Dic6C22×D311yescharacteristic
333C2×C3×C8—21no—
334C2×C3×C8—21no—
335C2×C3×C8—31no—
336C2×C3×C8—31no—
337C2×C3×C8—121no—
338C2×C3×C8—121no—
339C2×C3×C8C22×D311yescharacteristic
340C2×C3×C8C22×D311yescharacteristic
341C2×C3×C8C22×D311yescharacteristic
342C2×C3×C8C22×D311yescharacteristic
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C4⋊C4—31no—
346C3×C4⋊C4—31no—
347C3×C4⋊C4—61no—
348C3×C22⋊C4—31no—
349C3×C22⋊C4—31no—
350C3×C22⋊C4—61no—
351C3×C22⋊C4—61no—
352C3×C42—31no—
353C3×C42—61no—
354#217—21no—
355#217—21no—
356#217—61no—
357#217—61no—
358#217—61no—
359#217—61no—
360#217—61no—
361#217—121no—
362#217D1211yescharacteristic
363#216—121no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4D1211yescharacteristic
370C4⋊Dic3—31no—
371C4⋊Dic3—31no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3C22×D311yescharacteristic
379C4⋊Dic3C22×D311yescharacteristic
380C4⋊Dic3C22×D311yescharacteristic
381Dic3⋊C4—21no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—121no—
392Dic3⋊C4D1211yescharacteristic
393C4×Dic3—21no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3C22×D311yescharacteristic
399C2×C3⋊C8—41no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—121no—
403Dic12—121no—
404Dic12—122no—
405Dic12—121no—
406#204—62no—
407#204—62no—
408#204—122no—
409D3×C8—41no—
410C22×C32—21no—
411C22×C32—21no—
412C22×C32—21no—
413C22×C32C22×D411yescharacteristic
414C2×C3⋊D3—22no—
415C2×C3⋊D3—41no—
416C2×C3⋊D3—41no—
417C2×C3×D3—21no—
418C2×C3×D3—21no—
419C2×C3×D3—21no—
420C32×C4—21no—
421C32×C4C2×#4111yescharacteristic
422C32×C4H(5,𝔽2)11yescharacteristic
423C3⋊Dic3—41no—
424C3⋊Dic3—41no—
425C3⋊Dic3—41no—
426C3×Dic3—21no—
427C3×Dic3—21no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3—41no—
432C3×Dic3#13512yes—
433C2×#41—91no—
434C2×#41—91no—
435C2×Q16—91no—
436C2×Q16—91no—
437C2×SD16—91no—
438C22×C8—31no—
439C22×C8—31no—
440C4⋊Q8—91no—
441C4⋊Q8—91no—
442#126—181no—
443#126—181no—
444#124—181no—
445#123—181no—
446#123—181no—
447C22⋊Q8—31no—
448C22⋊Q8—91no—
449C22⋊Q8—91no—
450C22⋊Q8—91no—
451#121—181no—
452C4×Q8—91no—
453C4×Q8—181no—
454C4×D4—31no—
455C4×D4—91no—
456#117—31no—
457#117—91no—
458C2×C4⋊C4—181no—
459#107—31no—
460#107—91no—
461#106—31no—
462C4⋊C8—31no—
463#103—31no—
464#103—31no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103—91no—
469#103—91no—
470#102—91no—
471#102—91no—
472#102—91no—
473C22⋊C8—31no—
474C22⋊C8D3211yescharacteristic
475C4×C8—31no—
476C23×C3—21no—
477C23×C3—31no—
478C23×C3C2×D1211yescharacteristic
479C23×C3D3×D411yescharacteristic
480C22×D3—61no—
481C22×D3—61no—
482C22×D3—121no—
483C22×D3C2×D1211yescharacteristic
484C3×Q8—61no—
485C3×Q8—61no—
486C3×D4—62no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4C2×D1211yescharacteristic
505C2×C3×C4D3×D411yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—22no—
509#67—122no—
510#67—122no—
511#67—122no—
512#67—124no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3C2×D1211yescharacteristic
527C2×Dic3C2×D1211yescharacteristic
528C2×Dic3C2×D1211yescharacteristic
529D12—32no—
530D12—32no—
531D12—62no—
532D12—61no—
533D12—61no—
534D12—121no—
535D12—122no—
536C4×D3—21no—
537C4×D3—21no—
538C4×D3—122no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—124no—
544C4×D3—122no—
545Dic6—21no—
546Dic6—21no—
547Dic6—62no—
548Dic6—61no—
549Dic6—61no—
550Dic6—61no—
551Dic6—61no—
552Dic6—61no—
553Dic6—61no—
554Dic6—61no—
555Dic6—61no—
556Dic6—121no—
557Dic6—121no—
558Dic6—121no—
559Dic6—122no—
560Dic6—122no—
561C3×C8—21no—
562C3×C8—21no—
563C3×C8—21no—
564C3×C8—21no—
565C3×C8—41no—
566C3×C8—41no—
567C3×C8—61no—
568C3×C8—61no—
569C3⋊C8—21no—
570C3⋊C8—21no—
571C2×C32—41no—
572C2×C32#54611yescharacteristic
573C2×C32C2×#13511yescharacteristic
574C2×C32#57811yescharacteristic
575C3⋊D3—42no—
576C3×D3—41no—
577#41—182no—
578#41—182no—
579#41—361no—
580#41—361no—
581C2×Q8—31no—
582C2×Q8—91no—
583C2×Q8—91no—
584C2×Q8—181no—
585C2×D4—31no—
586C2×D4—91no—
587C2×D4—181no—
588C2×D4—181no—
589C22×C4—31no—
590C22×C4—181no—
591C22×C4—181no—
592C22×C4—181no—
593C22×C4C2×D3211yescharacteristic
594Q16—361no—
595Q16—361no—
596SD16—182no—
597C2×C8—31no—
598C2×C8—31no—
599C2×C8—121no—
600C2×C8—121no—
601C2×C8C2×D3211yescharacteristic
602C2×C8C2×D3211yescharacteristic
603C4⋊C4—31no—
604C4⋊C4—31no—
605C4⋊C4—31no—
606C4⋊C4—31no—
607C4⋊C4—61no—
608C4⋊C4—91no—
609C4⋊C4—181no—
610C4⋊C4—181no—
611C4⋊C4—181no—
612C4⋊C4—181no—
613C4⋊C4—181no—
614C4⋊C4—181no—
615C4⋊C4—181no—
616C22⋊C4—31no—
617C22⋊C4—31no—
618C22⋊C4—61no—
619C22⋊C4—61no—
620C22⋊C4—181no—
621C22⋊C4—181no—
622C22⋊C4—181no—
623C22⋊C4—181no—
624C22⋊C4—181no—
625C42—31no—
626C42—61no—
627C42—181no—
628C42—181no—
629C22×C3—21no—
630C22×C3—21no—
631C22×C3—21no—
632C22×C3—21no—
633C22×C3—21no—
634C22×C3—21no—
635C22×C3—21no—
636C22×C3—41no—
637C22×C3—41no—
638C22×C3—41no—
639C22×C3—61no—
640C22×C3—61no—
641C22×C3—61no—
642C22×C3C22×D1211yescharacteristic
643C22×C3C2×D3×D411yescharacteristic
644C2×D3—21no—
645C2×D3—21no—
646C2×D3—21no—
647C2×D3—62no—
648C2×D3—62no—
649C2×D3—122no—
650C2×D3—121no—
651C2×D3—121no—
652C2×D3—121no—
653C2×D3—121no—
654C2×D3—241no—
655C2×D3—241no—
656C3×C4—21no—
657C3×C4—21no—
658C3×C4—21no—
659C3×C4—21no—
660C3×C4—32no—
661C3×C4—41no—
662C3×C4—61no—
663C3×C4—61no—
664C3×C4—121no—
665C3×C4—121no—
666C3×C4—121no—
667C3×C4—121no—
668C3×C4#100411yescharacteristic
669C3×C4D3×#4111yescharacteristic
670C3×C4D3×#4111yescharacteristic
671C3×C4#100911yescharacteristic
672Dic3—21no—
673Dic3—21no—
674Dic3—41no—
675Dic3—41no—
676Dic3—41no—
677Dic3—41no—
678Dic3—122no—
679Dic3—121no—
680Dic3—121no—
681Dic3—121no—
682Dic3—121no—
683Dic3—121no—
684Dic3—121no—
685Dic3—241no—
686Dic3—241no—
687Dic3#90412yes—
688C32#330211yescharacteristic, complemented, Sylow
689C23—31no—
690C23—181no—
691C23D3×D1211yescharacteristic
692Q8—61no—
693Q8—61no—
694Q8—181no—
695Q8—181no—
696Q8—181no—
697Q8—181no—
698Q8—362no—
699D4—62no—
700D4—92no—
701D4—181no—
702D4—362no—
703D4—362no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—31no—
707C2×C4—31no—
708C2×C4—31no—
709C2×C4—61no—
710C2×C4—61no—
711C2×C4—61no—
712C2×C4—61no—
713C2×C4—61no—
714C2×C4—61no—
715C2×C4—181no—
716C2×C4—181no—
717C2×C4—181no—
718C2×C4—362no—
719C2×C4—362no—
720C2×C4—362no—
721C2×C4D3×D1211yescharacteristic
722C2×C4C22×D3211yescharacteristic
723C8—21no—
724C8—21no—
725C8—61no—
726C8—61no—
727C2×C3—21no—
728C2×C3—21no—
729C2×C3—21no—
730C2×C3—41no—
731C2×C3—41no—
732C2×C3—81no—
733C2×C3—121no—
734C2×C3#555411yescharacteristic
735C2×C3#565411yescharacteristic
736C2×C3C2×#90411yescharacteristic
737C2×C3#575311yescharacteristic
738C2×C3D3×#13511yescharacteristic
739C2×C3#577911yescharacteristic
740D3—41no—
741D3—122no—
742D3—122no—
743D3—242no—
744C22—21no—
745C22—21no—
746C22—21no—
747C22—61no—
748C22—61no—
749C22—61no—
750C22—182no—
751C22—361no—
752C22—361no—
753C22C2×D3×D1211yescharacteristic
754C4—21no—
755C4—32no—
756C4—61no—
757C4—61no—
758C4—121no—
759C4—121no—
760C4—121no—
761C4—121no—
762C4—361no—
763C4—361no—
764C4—361no—
765C4#6431211yescharacteristic
766C4#6431411yescharacteristic
767C3—21no—
768C3#7944211yescharacteristic, complemented
769C3#8154411yescharacteristic, complemented
770C2—41no—
771C2—121no—
772C2—362no—
773C2#1059429311yescharacteristic
774C2D3×#90411yescharacteristic
775C2#1059472111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radical#10594834C2
hypercenterC22⋊C8D32
hypocenterC32#3302
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
1. #10594840C2semidirect
3. #10592432C2semidirect
4. C3×#67⋊C8C2semidirect
5. C3×#4723C2semidirect
6. #10591187C2semidirect
7. #10591105C2semidirect
8. #10590970C2semidirect
9. #10590890C2semidirect
10. #10590852C2semidirect
11. #10590808C2semidirect
12. #10590764C2semidirect
13. #10590758C2semidirect
14. #10590709C2semidirect
15. #10590690C2semidirect
87. #67⋊C8D3semidirect
89. #4723D3semidirect
688. C32#3302semidirect
768. C3#79442semidirect
769. C3#81544semidirect

Maximal subgroups

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

subgroupindex
#105948402
#105948342
#105924322
C3×#67⋊C82
C3×#47232
#105911872
#105911052
#105909702
#105908902
#105908522
#105908082
#105907642
#105907582
#105907092
#105906902
#815443
#794423