Finite Group Databasebeta

← #11910300

Subgroups — #11910300

Order 1152.

2193 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3⋊D3×C4⋊Q8C211yesmaximal, characteristic, complemented
2C3×#5735C212yesmaximal, complemented
3#10595432C211yesmaximal, characteristic
4#10595429C212yesmaximal, complemented
5#10595416C212yesmaximal, complemented
6#10595393C212yesmaximal, complemented
7#10595365C211yesmaximal, characteristic, complemented
8#10594656C212yesmaximal, complemented
9#10594624C212yesmaximal, complemented
10#10594608C212yesmaximal
11#10594591C214yesmaximal, complemented
12#10594499C214yesmaximal, complemented
13#10594399C212yesmaximal, complemented
14#10594020C212yesmaximal, complemented
15#10593962C212yesmaximal, complemented
16D3×#563—32nomaximal
17C2×Q8×C3⋊D3C2211yescharacteristic
18C2×Q8×C3⋊D3C2211yescharacteristic
19C2×#3802C2211yescharacteristic
20C2×C4×D32C2212yes—
21C2×#3797C2211yescharacteristic
22C32×C4⋊Q8C2211yescharacteristic, complemented
23#64153C2211yescharacteristic, complemented
24#64153C2211yescharacteristic, complemented
25C4⋊C4×C3⋊D3C2212yes—
26C4⋊C4×C3⋊D3C2212yes—
27#64097C2212yescomplemented
28#64097C2212yescomplemented
29C42×C3⋊D3C2211yescharacteristic
30#64078C2211yescharacteristic, complemented
31C3×#947C2212yes—
32C3×#946C2214yescomplemented
33C3×#944C2212yescomplemented
34C3×#898C2214yescomplemented
35C3×#896C2214yescomplemented
36C3×#894C2214yes—
37C3×#889C2214yescomplemented
38C3×#876C2214yescomplemented
39#63921C2212yes—
40#63921C2212yes—
41#63921C2212yes—
42#63921C2212yes—
43#63921C2212yes—
44#63913C2212yes—
45#63913C2212yes—
46#63905C2214yes—
47#63900C2212yes—
48#63896C2214yescomplemented
49#63896C2214yescomplemented
50#63893C2214yescomplemented
51#63891C2214yes—
52#63887C2214yescomplemented
53#63884C2214yes—
54#63883C2212yes—
55#63883C2212yes—
56#63883C2212yes—
57#63883C2212yes—
58#63883C2212yes—
59C4×#624C2211yescharacteristic
60C4×#624C2211yescharacteristic
61#63867C2214yescomplemented
62#63866C2212yescomplemented
63#63862C2214yescomplemented
64#63862C2214yescomplemented
65#63862C2214yescomplemented
66#63861C2214yescomplemented
67#63860C2212yes—
68#63859C2214yescomplemented
69#63858C2214yescomplemented
70#63857C2214yescomplemented
71#63851C2214yescomplemented
72#63846C2214yescomplemented
73#63845C2214yescomplemented
74#63840C2212yescomplemented
75#63840C2212yescomplemented
76C3×#563—32no—
77#5735—32no—
78#5735D312yescomplemented
79D3×C4⋊Q8—32no—
80D3×C4⋊Q8—32no—
81D3×C4⋊Q8—61no—
82#5712—34no—
83#5712—34no—
84D3×#126—34no—
85D3×#126—34no—
86#5699—34no—
87D3×#125—34no—
88D3×#124—32no—
89#5672—32no—
90D3×#123—34no—
91#5651—34no—
92#5646—34no—
93#5646—34no—
94D3×C22⋊Q8—34no—
95D3×C22⋊Q8—34no—
96C22×D32C2312yes—
97C2×C32×Q8C2311yescharacteristic
98C2×C32×Q8C2311yescharacteristic
99Q8×C3⋊D3—42no—
100Q8×C3⋊D3—42no—
101C2×C4×C3⋊D3C2311yescharacteristic
102C2×C4×C3⋊D3C2312yes—
103C2×C4×C3⋊D3C2311yescharacteristic
104C2×C4×C3⋊D3C2312yes—
105C2×C4×C3⋊D3C2311yescharacteristic
106C2×#634C2311yescharacteristic
107C2×#634C2311yescharacteristic
108C2×#634C2311yescharacteristic
109C2×#634C2312yes—
110C2×#634C2311yescharacteristic
111C2×C3×D12C2312yes—
112C2×C3×C4×D3C2314yes—
113C2×C3×Dic6C2312yes—
114C2×#627C2312yes—
115C2×#625C2312yes—
116C2×#624C2312yes—
117C2×#624C2312yes—
118C2×#624C2312yes—
119C2×D3×Dic3C2314yes—
120#3802—42no—
121C4×D32—44no—
122#3797—42no—
123C32×C4⋊C4C2312yes—
124C32×C4⋊C4C2312yes—
125C32×C42C2311yescharacteristic
126C4⋊(C3⋊Dic3)C2312yes—
127C4⋊(C3⋊Dic3)C2312yes—
128#3750C2312yes—
129#3750C2312yes—
130#3750C2312yes—
131#3750C2312yes—
132C4×C3⋊Dic3C2312yes—
133C4×C3⋊Dic3C2311yescharacteristic
134C3×(C2×D3)⋊C4C2314yes—
135C3×(C2×D3)⋊C4C2314yes—
136C3×(C2×D3)⋊C4C2314yes—
137C3×(C2×D3)⋊C4C2314yes—
138C3×(C2×D3)⋊C4C2314yes—
139C3×C4⋊Dic3C2314yes—
140C3×Dic3⋊C4C2314yes—
141C3×Dic3⋊C4C2314yes—
142C3×Dic3⋊C4C2314yes—
143C3×Dic3⋊C4C2314yes—
144C3×Dic3⋊C4C2314yes—
145C3×C4×Dic3C2312yes—
146C3×C4×Dic3C2312yes—
147#3724C2314yes—
148Dic3⋊Dic3C2314yes—
149Dic3⋊Dic3C2314yes—
150Dic3⋊Dic3C2314yes—
151Dic3⋊Dic3C2314yes—
152Dic3⋊Dic3C2314yes—
153(C2×D3)⋊Dic3C2314yes—
154(C2×D3)⋊Dic3C2314yes—
155(C2×D3)⋊Dic3C2314yes—
156(C2×D3)⋊Dic3C2314yes—
157(C2×D3)⋊Dic3C2314yes—
158Dic32C2312yes—
159Dic32C2312yes—
160C2×#563—91noSylow
161C2×D3×Q8—32no—
162C2×D3×Q8—32no—
163C2×D3×Q8—32no—
164C2×D3×Q8—61no—
165C2×D3×Q8—61no—
166C2×D3×D4—32no—
167C22×C4×D3—34no—
168C3×C4⋊Q8—21no—
169C3×C4⋊Q8—32no—
170C3×C4⋊Q8C2×D312yescomplemented
171C3×#126—34no—
172C3×#126—34no—
173C3×#125—34no—
174C3×#124—32no—
175C3×#123—34no—
176C3×C22⋊Q8—34no—
177C3×C22⋊Q8—34no—
178#947C2×D312yes—
179#946—34no—
180#946C2×D314yescomplemented
181#944—32no—
182#944—32no—
183#944—32no—
184#944—61no—
185#944—61no—
186#944C2×D312yescomplemented
187#936—32no—
188#935—34no—
189#929—34no—
190#924—34no—
191#924—34no—
192#898—34no—
193#898—34no—
194#898—34no—
195#898—34no—
196#898—34no—
197#898C2×D314yescomplemented
198#897—34no—
199#897—34no—
200#896—34no—
201#896—34no—
202#896—34no—
203#896C2×D314yescomplemented
204#894—34no—
205#894C2×D314yes—
206D3×C4⋊C4—34no—
207D3×C4⋊C4—34no—
208D3×C4⋊C4—34no—
209D3×C4⋊C4—34no—
210D3×C4⋊C4—34no—
211D3×C4⋊C4—34no—
212D3×C4⋊C4—34no—
213D3×C4⋊C4—34no—
214D3×C4⋊C4—62no—
215D3×C4⋊C4—62no—
216#890—34no—
217#890—34no—
218#889—34no—
219#889—34no—
220#889—34no—
221#889C2×D314yescomplemented
222#888—34no—
223#888—34no—
224#888—34no—
225#888—34no—
226#888—62no—
227#888—62no—
228#886—34no—
229#885—34no—
230#885—34no—
231#883—34no—
232#883—34no—
233D3×C22⋊C4—34no—
234D3×C22⋊C4—34no—
235D3×C22⋊C4—34no—
236D3×C22⋊C4—34no—
237D3×C22⋊C4—34no—
238#879—34no—
239#879—34no—
240#879—34no—
241#879—34no—
242#879—34no—
243#879—34no—
244#878—34no—
245#878—34no—
246#878—34no—
247#878—34no—
248#876—34no—
249#876C2×D314yescomplemented
250#875—32no—
251C42×D3—32no—
252C42×D3—32no—
253C42×D3—32no—
254C42×D3—61no—
255#870—34no—
256#869—32no—
257#869—32no—
258#869—61no—
259C22×C3⋊D3C2411yescharacteristic
260C22×C3×D3C2414yes—
261C2×D32—24no—
262C2×D32—28no—
263C32×Q8—41no—
264C32×Q8—41no—
265C2×C32×C4C2411yescharacteristic
266C2×C32×C4C2411yescharacteristic
267C2×C32×C4C2412yes—
268C2×C32×C4C2411yescharacteristic
269C2×C32×C4C2412yes—
270C2×C3⋊Dic3C2411yescharacteristic
271C2×C3⋊Dic3C2411yescharacteristic
272C2×C3⋊Dic3C2412yes—
273C2×C3⋊Dic3C2411yescharacteristic
274C2×C3⋊Dic3C2412yes—
275C4×C3⋊D3—22no—
276C4×C3⋊D3—24no—
277C4×C3⋊D3—22no—
278C4×C3⋊D3—24no—
279C4×C3⋊D3—22no—
280#634—42no—
281#634—41no—
282#634—41no—
283#634—41no—
284#634—41no—
285C2×C3×Dic3C2414yes—
286C2×C3×Dic3C2414yes—
287C2×C3×Dic3C2414yes—
288C3×D12—42no—
289C3×C4×D3—44no—
290C3×Dic6—42no—
291#627—42no—
292#625—42no—
293#624—24no—
294#624—24no—
295#624—24no—
296D3×Dic3—44no—
297#563—32no—
298#563—92no—
299#563—94no—
300#563—94no—
301#563—92no—
302#563—92no—
303C2×C4⋊Q8—91no—
304C2×C4⋊Q8—91no—
305C2×#126—92no—
306C2×#126—92no—
307C2×#125—92no—
308C2×#124—91no—
309C2×#123—92no—
310C2×C22⋊Q8—92no—
311C2×C22⋊Q8—92no—
312C23×D3—34no—
313C2×C3×Q8—21no—
314C2×C3×Q8—21no—
315C2×C3×Q8—32no—
316C2×C3×Q8C22×D312yes—
317C2×C3×Q8C22×D312yes—
318C2×C3×D4—32no—
319C22×C3×C4—34no—
320C2×#67—34no—
321C22×Dic3—34no—
322D3×Q8—124no—
323D3×Q8—124no—
324D3×Q8—124no—
325D3×Q8—124no—
326D3×Q8—124no—
327D3×D4—124no—
328C2×D12C22×D312yes—
329C2×C4×D3—34no—
330C2×C4×D3—32no—
331C2×C4×D3—32no—
332C2×C4×D3—32no—
333C2×C4×D3—34no—
334C2×C4×D3—34no—
335C2×C4×D3—34no—
336C2×C4×D3—34no—
337C2×C4×D3—34no—
338C2×C4×D3—62no—
339C2×C4×D3—61no—
340C2×C4×D3—61no—
341C2×C4×D3—61no—
342C2×C4×D3—62no—
343C2×C4×D3—128no—
344C2×C4×D3C22×D314yes—
345C2×Dic6—32no—
346C2×Dic6—32no—
347C2×Dic6—32no—
348C2×Dic6—32no—
349C2×Dic6—34no—
350C2×Dic6—34no—
351C2×Dic6—61no—
352C2×Dic6—61no—
353C2×Dic6—62no—
354C2×Dic6—61no—
355C2×Dic6—61no—
356C2×Dic6C22×D312yes—
357C3×C4⋊C4—22no—
358C3×C4⋊C4—22no—
359C3×C4⋊C4—34no—
360C3×C4⋊C4—34no—
361C3×C4⋊C4—34no—
362C3×C4⋊C4—34no—
363C3×C4⋊C4—34no—
364C3×C4⋊C4—34no—
365C3×C4⋊C4C22×D314yes—
366C3×C4⋊C4C22×D314yes—
367C3×C22⋊C4—34no—
368C3×C22⋊C4—34no—
369C3×C22⋊C4—34no—
370C3×C22⋊C4—34no—
371C3×C22⋊C4—34no—
372C3×C42—21no—
373C3×C42—32no—
374C3×C42—32no—
375C3×C42C22×D312yes—
376#217—34no—
377#217—34no—
378#217—34no—
379#217—34no—
380#217—34no—
381(C2×D3)⋊C4—34no—
382(C2×D3)⋊C4—34no—
383(C2×D3)⋊C4—34no—
384(C2×D3)⋊C4—34no—
385(C2×D3)⋊C4—34no—
386(C2×D3)⋊C4C22×D314yes—
387(C2×D3)⋊C4C22×D314yes—
388(C2×D3)⋊C4C22×D314yes—
389(C2×D3)⋊C4C22×D314yes—
390(C2×D3)⋊C4C22×D314yes—
391C4⋊Dic3—34no—
392C4⋊Dic3—34no—
393C4⋊Dic3—34no—
394C4⋊Dic3—34no—
395C4⋊Dic3—34no—
396C4⋊Dic3—34no—
397C4⋊Dic3—34no—
398C4⋊Dic3—62no—
399C4⋊Dic3—62no—
400C4⋊Dic3C22×D314yes—
401Dic3⋊C4—34no—
402Dic3⋊C4—34no—
403Dic3⋊C4—34no—
404Dic3⋊C4—34no—
405Dic3⋊C4—34no—
406Dic3⋊C4—34no—
407Dic3⋊C4—34no—
408Dic3⋊C4—34no—
409Dic3⋊C4—34no—
410Dic3⋊C4—34no—
411Dic3⋊C4—34no—
412Dic3⋊C4—62no—
413Dic3⋊C4—62no—
414Dic3⋊C4—62no—
415Dic3⋊C4—62no—
416Dic3⋊C4C22×D314yes—
417Dic3⋊C4C22×D314yes—
418Dic3⋊C4C22×D314yes—
419Dic3⋊C4C22×D314yes—
420Dic3⋊C4C22×D314yes—
421C4×Dic3—34no—
422C4×Dic3—32no—
423C4×Dic3—34no—
424C4×Dic3—34no—
425C4×Dic3—62no—
426C4×Dic3—61no—
427C4×Dic3C22×D312yes—
428C4×Dic3C22×D312yes—
429C22×C32C2511yescharacteristic
430C2×C3⋊D3H(5,𝔽2)12yes—
431C2×C3⋊D32−1+414yes—
432C2×C3×D3—24no—
433C2×C3×D3—28no—
434D32—48no—
435C32×C4—21no—
436C32×C4—22no—
437C32×C4—21no—
438C32×C4—22no—
439C32×C4—21no—
440C3⋊Dic3—21no—
441C3⋊Dic3—22no—
442C3⋊Dic3—22no—
443C3⋊Dic3—21no—
444C3⋊Dic3—21no—
445C3×Dic3—24no—
446C3×Dic3—24no—
447C3×Dic3—24no—
448C22×Q8—91no—
449C22×Q8—91no—
450C22×Q8—91no—
451C22×D4—91no—
452C23×C4—92no—
453C4⋊Q8—32no—
454C4⋊Q8—92no—
455C4⋊Q8—92no—
456C4⋊Q8—92no—
457C4⋊Q8—91no—
458C4⋊Q8—91no—
459C4⋊Q8—92no—
460C4⋊Q8—92no—
461C4⋊Q8—91no—
462C4⋊Q8D3211yescharacteristic, complemented
463#126—34no—
464#126—34no—
465#126—94no—
466#126—94no—
467#126—94no—
468#126—94no—
469#126—94no—
470#126—94no—
471#125—34no—
472#125—94no—
473#125—94no—
474#125—94no—
475#124—32no—
476#124—92no—
477#124—92no—
478#124—92no—
479#123—34no—
480#123—94no—
481#123—94no—
482#123—94no—
483C22⋊Q8—34no—
484C22⋊Q8—34no—
485C22⋊Q8—94no—
486C22⋊Q8—94no—
487C22⋊Q8—94no—
488C22⋊Q8—94no—
489C22⋊Q8—94no—
490C22⋊Q8—94no—
491C2×C4⋊C4—92no—
492C2×C4⋊C4—92no—
493C2×C4⋊C4—92no—
494C2×C4⋊C4—92no—
495C2×C4⋊C4—92no—
496C2×C4⋊C4—92no—
497C2×C4⋊C4—92no—
498C2×C4⋊C4—92no—
499C2×C22⋊C4—92no—
500C2×C22⋊C4—92no—
501C2×C22⋊C4—92no—
502C2×C22⋊C4—92no—
503C2×C22⋊C4—92no—
504C2×C42—91no—
505C2×C42—91no—
506C2×C42—91no—
507C23×C3—34no—
508C22×D3—32no—
509C22×D3—61no—
510C22×D3—68no—
511C22×D3—616no—
512C22×D3C23×D314yes—
513C3×Q8—42no—
514C3×Q8—42no—
515C3×Q8—42no—
516C3×Q8—42no—
517C3×Q8—122no—
518C3×D4—122no—
519C2×C3×C4—22no—
520C2×C3×C4—21no—
521C2×C3×C4—21no—
522C2×C3×C4—21no—
523C2×C3×C4—22no—
524C2×C3×C4—34no—
525C2×C3×C4—34no—
526C2×C3×C4—34no—
527C2×C3×C4—124no—
528C2×C3×C4C23×D314yes—
529C2×C3×C4C23×D312yes—
530C2×C3×C4C23×D312yes—
531C2×C3×C4C23×D312yes—
532C2×C3×C4C23×D314yes—
533#67—124no—
534C2×Dic3—34no—
535C2×Dic3—32no—
536C2×Dic3—32no—
537C2×Dic3—32no—
538C2×Dic3—34no—
539C2×Dic3—62no—
540C2×Dic3—61no—
541C2×Dic3—61no—
542C2×Dic3—61no—
543C2×Dic3—62no—
544C2×Dic3—124no—
545C2×Dic3C23×D314yes—
546C2×Dic3C23×D314yes—
547C2×Dic3C23×D314yes—
548D12—42no—
549C4×D3—44no—
550C4×D3—68no—
551C4×D3—68no—
552C4×D3—68no—
553C4×D3—68no—
554C4×D3—68no—
555C4×D3—64no—
556C4×D3—64no—
557C4×D3—64no—
558C4×D3—68no—
559C4×D3—64no—
560C4×D3—124no—
561C4×D3—122no—
562C4×D3—122no—
563C4×D3—124no—
564Dic6—42no—
565Dic6—124no—
566Dic6—122no—
567Dic6—124no—
568Dic6—122no—
569Dic6—122no—
570Dic6—122no—
571Dic6—124no—
572Dic6—122no—
573Dic6—122no—
574Dic6—122no—
575Dic6—122no—
576C2×C32C2×H(5,𝔽2)11yescharacteristic
577C2×C32C2×2−1+412yes—
578C3⋊D3#56314yescomplemented
579C3×D3—44no—
580C24—92no—
581C2×Q8—32no—
582C2×Q8—92no—
583C2×Q8—92no—
584C2×Q8—91no—
585C2×Q8—91no—
586C2×Q8—91no—
587C2×Q8—91no—
588C2×Q8—362no—
589C2×Q8—362no—
590C2×Q8—362no—
591C2×Q8C2×D3211yescharacteristic
592C2×Q8C2×D3211yescharacteristic
593C2×D4—32no—
594C2×D4—92no—
595C2×D4—362no—
596C22×C4—34no—
597C22×C4—92no—
598C22×C4—92no—
599C22×C4—92no—
600C22×C4—94no—
601C22×C4—92no—
602C22×C4—91no—
603C22×C4—91no—
604C22×C4—91no—
605C22×C4—92no—
606C22×C4—364no—
607C4⋊C4—34no—
608C4⋊C4—34no—
609C4⋊C4—34no—
610C4⋊C4—34no—
611C4⋊C4—34no—
612C4⋊C4—34no—
613C4⋊C4—94no—
614C4⋊C4—94no—
615C4⋊C4—94no—
616C4⋊C4—94no—
617C4⋊C4—94no—
618C4⋊C4—94no—
619C4⋊C4—92no—
620C4⋊C4—92no—
621C4⋊C4—92no—
622C4⋊C4—92no—
623C4⋊C4—92no—
624C4⋊C4—92no—
625C4⋊C4C2×D3212yes—
626C4⋊C4C2×D3212yes—
627C22⋊C4—34no—
628C22⋊C4—34no—
629C22⋊C4—34no—
630C22⋊C4—34no—
631C22⋊C4—34no—
632C22⋊C4—94no—
633C22⋊C4—94no—
634C22⋊C4—94no—
635C22⋊C4—94no—
636C22⋊C4—94no—
637C42—32no—
638C42—32no—
639C42—92no—
640C42—92no—
641C42—91no—
642C42—92no—
643C42C2×D3211yescharacteristic
644C22×C3—21no—
645C22×C3—64no—
646C22×C3—68no—
647C22×C3C24×D312yes—
648C2×D3—24no—
649C2×D3—28no—
650C2×D3—34no—
651C2×D3—38no—
652C2×D3—62no—
653C2×D3—64no—
654C2×D3—1216no—
655C3×C4—22no—
656C3×C4—24no—
657C3×C4—22no—
658C3×C4—22no—
659C3×C4—24no—
660C3×C4—22no—
661C3×C4—24no—
662C3×C4—42no—
663C3×C4—41no—
664C3×C4—41no—
665C3×C4—64no—
666C3×C4—64no—
667C3×C4—64no—
668Dic3—24no—
669Dic3—24no—
670Dic3—24no—
671Dic3—62no—
672Dic3—64no—
673Dic3—62no—
674Dic3—62no—
675Dic3—64no—
676Dic3—62no—
677Dic3—64no—
678Dic3—122no—
679Dic3—121no—
680Dic3—121no—
681C32C2×#56311yescharacteristic, complemented, Sylow
682C23—34no—
683C23—91no—
684C23—184no—
685C23—188no—
686Q8—41no—
687Q8—41no—
688Q8—122no—
689Q8—362no—
690Q8—361no—
691Q8—361no—
692Q8—361no—
693Q8—361no—
694Q8—362no—
695D4—122no—
696D4—362no—
697C2×C4—34no—
698C2×C4—34no—
699C2×C4—34no—
700C2×C4—92no—
701C2×C4—91no—
702C2×C4—91no—
703C2×C4—91no—
704C2×C4—92no—
705C2×C4—124no—
706C2×C4—184no—
707C2×C4—182no—
708C2×C4—182no—
709C2×C4—182no—
710C2×C4—184no—
711C2×C4—184no—
712C2×C4—184no—
713C2×C4—184no—
714C2×C4—364no—
715C2×C4C22×D3211yescharacteristic
716C2×C4C22×D3211yescharacteristic
717C2×C4C22×D3212yes—
718C2×C4C22×D3211yescharacteristic
719C2×C4C22×D3212yes—
720C2×C3—21no—
721C2×C3—22no—
722C2×C3—124no—
723C2×C3D3×H(5,𝔽2)12yes—
724C2×C3D3×2−1+414yes—
725D3—38no—
726D3—44no—
727D3—64no—
728C22—64no—
729C22—68no—
730C22—92no—
731C22—94no—
732C22—368no—
733C22C23×D3211yescharacteristic
734C4—22no—
735C4—21no—
736C4—21no—
737C4—21no—
738C4—22no—
739C4—64no—
740C4—64no—
741C4—64no—
742C4—182no—
743C4—181no—
744C4—181no—
745C4—181no—
746C4—182no—
747C3—21no—
748C3D3×#56312yescomplemented
749C2—94no—
750C2—124no—
751C2#1059667511yescharacteristic
752C2#1059668712yes—
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4⋊Q8C22
prime radicalC2×#3802C22
hypercenterC4⋊Q8D32
hypocenterC32C2×#563
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3⋊D3×C4⋊Q8C2semidirect
2. C3×#5735C2semidirect
4. #10595429C2semidirect
5. #10595416C2semidirect
6. #10595393C2semidirect
7. #10595365C2semidirect
8. #10594656C2semidirect
9. #10594624C2semidirect
11. #10594591C2semidirect
12. #10594499C2semidirect
13. #10594399C2semidirect
14. #10594020C2semidirect
15. #10593962C2semidirect
22. C32×C4⋊Q8C22semidirect
23. #64153C22semidirect
24. #64153C22semidirect
27. #64097C22semidirect
28. #64097C22semidirect
30. #64078C22semidirect
32. C3×#946C22semidirect
33. C3×#944C22semidirect
34. C3×#898C22semidirect
35. C3×#896C22semidirect
37. C3×#889C22semidirect
38. C3×#876C22semidirect
48. #63896C22semidirect
49. #63896C22semidirect
50. #63893C22semidirect
52. #63887C22semidirect
61. #63867C22semidirect
62. #63866C22semidirect
63. #63862C22semidirect
64. #63862C22semidirect
65. #63862C22semidirect
66. #63861C22semidirect
68. #63859C22semidirect
69. #63858C22semidirect
70. #63857C22semidirect
71. #63851C22semidirect
72. #63846C22semidirect
73. #63845C22semidirect
74. #63840C22semidirect
75. #63840C22semidirect
78. #5735D3semidirect
170. C3×C4⋊Q8C2×D3semidirect
180. #946C2×D3semidirect
186. #944C2×D3semidirect
197. #898C2×D3semidirect
203. #896C2×D3semidirect
221. #889C2×D3semidirect
249. #876C2×D3semidirect
462. C4⋊Q8D32semidirect
578. C3⋊D3#563semidirect
681. C32C2×#563semidirect
748. C3D3×#563semidirect

Maximal subgroups

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

subgroupindex
C3⋊D3×C4⋊Q82
C3×#57352
#105954322
#105954292
#105954162
#105953932
#105953652
#105946562
#105946242
#105946082
#105945912
#105944992
#105943992
#105940202
#105939622
D3×#5633