Finite Group Databasebeta

← #11889376

Subgroups — #11889376

Order 1152.

800 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5529C211yesmaximal, characteristic
2Dic6×#67C211yesmaximal, characteristic
3#10592695C211yesmaximal, characteristic, complemented
4C3×#5004C211yesmaximal, characteristic, complemented
5#10591185C211yesmaximal, characteristic, complemented
6#10591147C211yesmaximal, characteristic
7#10591121C211yesmaximal, characteristic, complemented
8#10590604C211yesmaximal, characteristic, complemented
9D3×#810C211yesmaximal, characteristic, complemented
10#10590562C211yesmaximal, characteristic, complemented
11#10590561C211yesmaximal, characteristic, complemented
12#10590518C211yesmaximal, characteristic, complemented
13#10590516C211yesmaximal, characteristic, complemented
14#10590493C211yesmaximal, characteristic, complemented
15#10590477C211yesmaximal, characteristic, complemented
16#83603—31nomaximal
17#78966—31nomaximal
18C22×C3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C32×#117C2211yescharacteristic
21#64133C2211yescharacteristic
22C3×C4×#67C2211yescharacteristic
23C3×#924C2211yescharacteristic
24C2×C3×#208C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#890C2211yescharacteristic
28C3×#887C2211yescharacteristic
29C3×#883—21no—
30C3×#879—21no—
31C3×#872—21no—
32C3×#870—21no—
33Dic3×#67—21no—
34#63964—21no—
35#63887—21no—
36#63866C2211yescharacteristic
37#63856C2211yescharacteristic
38Dic3×Dic6C2211yescharacteristic
39#63839—21no—
40C2×#3719C2211yescharacteristic
41C2×#3718C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44#63657C2211yescharacteristic
45#63637C2211yescharacteristic
46#63637C2211yescharacteristic
47#63635C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#810C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#810C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61C3×#552—31no—
62Q8×#67—31no—
63D4×Dic6—31no—
64#5529D311yescharacteristic
65C3×#419—31no—
66#5228—31no—
67#5137—31no—
68#5127—31no—
69#5069—31no—
70#5063—31no—
71#5052—31no—
72#5051—31no—
73#5050—31no—
74#5050—31no—
75#5031—31no—
76#5030—31no—
77#5011—31no—
78#5004D311yescharacteristic, complemented
79#4996—31no—
80#4996—31no—
81#4996—61no—
82#4971—31no—
83C2×#810—31no—
84#4813—31no—
85#4809—31no—
86#4805—31no—
87D3×#103—31no—
88#4799—31no—
89#4797—31no—
90#4795—31no—
91#4789—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×C3×#67D411yescharacteristic
95C22×C3×Dic3—21no—
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6—22no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—41no—
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×D3×Dic3—21no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C22⋊C4—21no—
111C32×C42—21no—
112#3757—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#217—21no—
118C3×#217D411yescharacteristic
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4D411yescharacteristic
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×Dic3⋊C4D411yescharacteristic
129C3×C4×Dic3—21no—
130C3×C4×Dic3C2311yescharacteristic
131C3×#208—41no—
132C2×C3×C3⋊C8C2311yescharacteristic
133C2×C3×C3⋊C8C2311yescharacteristic
134#3724—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139Dic32—21no—
140#3719—41no—
141#3718—22no—
142#3718—41no—
143D3×C3⋊C8—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6C2×D311yescharacteristic
149C2×C3×M16—31no—
150C3×#126—61no—
151C3×#125—31no—
152C3×#125—61no—
153C3×#123—61no—
154C3×C22⋊Q8—31no—
155C3×C22⋊Q8—31no—
156C3×C4×Q8—31no—
157C3×C4×D4—31no—
158C3×#117—21no—
159C3×#117—61no—
160C3×#117C2×D311yescharacteristic
161C3×#117C2×D311yescharacteristic
162C2×C3×C4⋊C4—31no—
163#946—31no—
164#946—61no—
165Q8×Dic3—31no—
166#944—31no—
167#944—61no—
168C2×#216—31no—
169C2×#216—31no—
170C2×#216—31no—
171C2×#216—31no—
172C2×#216—31no—
173D4×Dic3—61no—
174C4×#67—61no—
175C4×#67C2×D311yescharacteristic
176#924—31no—
177#924—31no—
178#924—31no—
179#924—61no—
180#924—61no—
181#924C2×D311yescharacteristic
182C2×#208C2×D311yescharacteristic
183C22×C3⋊C8—31no—
184C2×Dic12—31no—
185C2×D3×C8—31no—
186#897C2×D311yescharacteristic
187D3×C4⋊C4C2×D311yescharacteristic
188#890C2×D311yescharacteristic
189#888—61no—
190#887C2×D311yescharacteristic
191#883—21no—
192#879—21no—
193#878—61no—
194#878—61no—
195#872—21no—
196#870—21no—
197#869—31no—
198C4×Dic6—31no—
199C3×#103—31no—
200C3×#103—31no—
201C3×#103—31no—
202C3×#103—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#830—31no—
207#830—31no—
208#830—31no—
209#830—61no—
210(C2×D3)⋊C8—31no—
211#817—31no—
212#816—31no—
213#816—31no—
214#815—31no—
215Dic3⋊C8—31no—
216#810—31no—
217#810—31no—
218#810—31no—
219#810—31no—
220#810—31no—
221#810—31no—
222#810—31no—
223#810—61no—
224#810—61no—
225#810C2×D311yescharacteristic
226#810C2×D311yescharacteristic
227#810C2×D311yescharacteristic
228#810C2×D311yescharacteristic
229#808—31no—
230#808—31no—
231#808—31no—
232#808—61no—
233#807—31no—
234#807—31no—
235#807—61no—
236C4⋊(C3⋊C8)—31no—
237#803—31no—
238C23×C32C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3—21no—
248#634—21no—
249#634—21no—
250C3×#67—22no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—42no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—42no—
268C3×Dic6#4112yes—
269#627—42no—
270D3×Dic3—42no—
271C3⋊(C3⋊C8)—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—31no—
276D4×Q8—91no—
277#491—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—91no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—31no—
289C2×#103—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—62no—
294C2×C3×Q8—61no—
295C2×C3×Q8—121no—
296C2×C3×D4—31no—
297C22×C3×C4—21no—
298C22×C3×C4—31no—
299C22×C3×C4—61no—
300C22×C3×C4—61no—
301C22×C3×C4C22×D311yescharacteristic
302C22×C3×C4C22×D311yescharacteristic
303C2×#67#6711yescharacteristic
304C22×Dic3—21no—
305C22×Dic3—61no—
306D3×Q8—62no—
307D3×Q8—121no—
308C2×C4×D3—21no—
309C2×C4×D3—61no—
310C2×C4×D3C22×D311yescharacteristic
311C2×Dic6—22no—
312C2×Dic6—21no—
313C2×Dic6—31no—
314C2×Dic6—31no—
315C2×Dic6—41no—
316C2×Dic6—61no—
317C2×Dic6—62no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—121no—
321C2×Dic6C22×D311yescharacteristic
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C3×M16—121no—
325C2×C3×C8—31no—
326C2×C3×C8—31no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C22⋊C4—21no—
342C3×C22⋊C4—21no—
343C3×C22⋊C4—31no—
344C3×C22⋊C4—31no—
345C3×C22⋊C4—41no—
346C3×C22⋊C4—61no—
347C3×C22⋊C4—61no—
348C3×C42—21no—
349C3×C42—21no—
350C3×C42—31no—
351C3×C42—41no—
352C3×C42—61no—
353#217—21no—
354#217—61no—
355#217—61no—
356#217—61no—
357#217—121no—
358#217#6711yescharacteristic
359#216—62no—
360#216—62no—
361#216—121no—
362#216—121no—
363#216—121no—
364(C2×D3)⋊C4—21no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4#6711yescharacteristic
367C4⋊Dic3—21no—
368C4⋊Dic3—21no—
369C4⋊Dic3—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—21no—
379Dic3⋊C4—21no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—121no—
388Dic3⋊C4#6711yescharacteristic
389C4×Dic3—21no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3C22×D311yescharacteristic
393#208—41no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8—121no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403Dic12—121no—
404D3×C8—121no—
405C22×C32—21no—
406C22×C32—21no—
407C22×C32—21no—
408C22×C32C22×D411yescharacteristic
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3#13712yes—
412C32×C4—21no—
413C32×C4—41no—
414C32×C4—41no—
415C32×C4C2×#4111yescharacteristic
416C32×C4H(5,𝔽2)11yescharacteristic
417C3⋊Dic3—41no—
418C3⋊Dic3—41no—
419C3×Dic3—22no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C3×Dic3—41no—
425C3×Dic3—41no—
426C22×Q8—31no—
427C22×Q8—91no—
428C2×Q16—91no—
429C2×Q16—91no—
430C2×Q16—91no—
431C2×M16—31no—
432C22×C8—91no—
433C4⋊Q8—91no—
434C4⋊Q8—181no—
435#126—61no—
436#125—31no—
437#125—61no—
438#123—61no—
439C22⋊Q8—31no—
440C22⋊Q8—31no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—181no—
444C22⋊Q8—181no—
445C4×Q8—31no—
446C4×Q8—91no—
447C4×D4—31no—
448C4×D4—181no—
449#117—61no—
450#117D3211yescharacteristic
451C2×C4⋊C4—31no—
452#107—91no—
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#103—91no—
466C22⋊C8—91no—
467C22⋊C8—91no—
468#97—91no—
469C23×C3—21no—
470C23×C3—31no—
471C23×C3D3×D411yescharacteristic
472C23×C3C2×#6711yescharacteristic
473C22×D3C2×#6711yescharacteristic
474C3×Q8—32no—
475C3×Q8—61no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×Q8—61no—
479C3×Q8—61no—
480C3×Q8—122no—
481C3×D4—62no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—122no—
506C2×C3×C4—122no—
507C2×C3×C4D3×D411yescharacteristic
508C2×C3×C4C2×#6711yescharacteristic
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—22no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—42no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3—121no—
523C2×Dic3—122no—
524C2×Dic3C2×#6711yescharacteristic
525C2×Dic3C2×#6711yescharacteristic
526C2×Dic3C2×#6711yescharacteristic
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—42no—
530C4×D3—122no—
531Dic6—21no—
532Dic6—21no—
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—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C3⋊C8—61no—
551C3⋊C8—61no—
552C3⋊C8—61no—
553C3⋊C8—61no—
554C3⋊C8—121no—
555C3⋊C8—121no—
556C2×C32—41no—
557C2×C32#54611yescharacteristic
558C2×C32C2×#13711yescharacteristic
559C2×C32#57811yescharacteristic
560C3×D3—22no—
561C2×Q8—31no—
562C2×Q8—31no—
563C2×Q8—31no—
564C2×Q8—62no—
565C2×Q8—61no—
566C2×Q8—91no—
567C2×Q8—121no—
568C2×Q8—181no—
569C2×Q8—182no—
570C2×Q8—361no—
571C2×D4—31no—
572C22×C4—31no—
573C22×C4—61no—
574C22×C4—61no—
575C22×C4—181no—
576C22×C4C2×D3211yescharacteristic
577Q16—182no—
578Q16—361no—
579Q16—361no—
580M16—121no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—91no—
584C2×C8—91no—
585C2×C8—361no—
586C4⋊C4—31no—
587C4⋊C4—31no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4C2×D3211yescharacteristic
601C4⋊C4C2×D3211yescharacteristic
602C22⋊C4—21no—
603C22⋊C4—31no—
604C22⋊C4—31no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C42—21no—
610C42—31no—
611C42—61no—
612C42—181no—
613C22×C3—21no—
614C22×C3—21no—
615C22×C3—21no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—32no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—61no—
625C22×C3—61no—
626C22×C3C2×D3×D411yescharacteristic
627C22×C3C22×#6711yescharacteristic
628C2×D3—21no—
629C2×D3—21no—
630C2×D3#95112yes—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—62no—
644C3×C4—81no—
645C3×C4—81no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4C2×#23511yescharacteristic
650C3×C4#100411yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4#100911yescharacteristic
653Dic3—22no—
654Dic3—21no—
655Dic3—21no—
656Dic3—21no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665Dic3—241no—
666C32#331211yescharacteristic, complemented, Sylow
667C23—31no—
668C23D3×#6711yescharacteristic
669Q8—32no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674Q8—61no—
675Q8—122no—
676Q8—181no—
677Q8—181no—
678Q8—362no—
679D4—62no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—122no—
694C2×C4—122no—
695C2×C4—181no—
696C2×C4—181no—
697C2×C4—362no—
698C2×C4D3×#6711yescharacteristic
699C2×C4C22×D3211yescharacteristic
700C8—61no—
701C8—61no—
702C8—181no—
703C8—181no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—41no—
708C2×C3—41no—
709C2×C3—62no—
710C2×C3—81no—
711C2×C3#549011yescharacteristic
712C2×C3D3×#13711yescharacteristic
713C2×C3#577911yescharacteristic
714C2×C3C2×#95111yescharacteristic
715C2×C3#582911yescharacteristic
716C2×C3#583811yescharacteristic
717D3—22no—
718C22—21no—
719C22—21no—
720C22—21no—
721C22—32no—
722C22—61no—
723C22—61no—
724C22C2×D3×#6711yescharacteristic
725C4—21no—
726C4—41no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—62no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—361no—
736C4—361no—
737C4D3×#23511yescharacteristic
738C4#6430711yescharacteristic
739C3—21no—
740C3#7896611yescharacteristic, complemented
741C3#8360311yescharacteristic, complemented
742C2—41no—
743C2—62no—
744C2#1059506511yescharacteristic
745C2D3×#95111yescharacteristic
746C2#1059546511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#117C22
socleC22×C32C22×D4
prime radicalC2×C3×#67D4
hypercenter#117D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
3. #10592695C2semidirect
4. C3×#5004C2semidirect
5. #10591185C2semidirect
7. #10591121C2semidirect
8. #10590604C2semidirect
9. D3×#810C2semidirect
10. #10590562C2semidirect
11. #10590561C2semidirect
12. #10590518C2semidirect
13. #10590516C2semidirect
14. #10590493C2semidirect
15. #10590477C2semidirect
78. #5004D3semidirect
666. C32#3312semidirect
740. C3#78966semidirect
741. C3#83603semidirect

Maximal subgroups

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

subgroupindex
C3×#55292
Dic6×#672
#105926952
C3×#50042
#105911852
#105911472
#105911212
#105906042
D3×#8102
#105905622
#105905612
#105905182
#105905162
#105904932
#105904772
#836033
#789663