Finite Group Databasebeta

← #11889458

Subgroups — #11889458

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
1#10595403C211yesmaximal, characteristic
2#10594457C211yesmaximal, characteristic
3#10592514C211yesmaximal, characteristic, complemented
4C3×#4809C211yesmaximal, characteristic, complemented
5C3×#4797C211yesmaximal, characteristic, complemented
6#10591600C211yesmaximal, characteristic, complemented
7#10591574C211yesmaximal, characteristic, complemented
8D3×#835C211yesmaximal, characteristic, complemented
9#10590950C211yesmaximal, characteristic, complemented
10#10590812C211yesmaximal, characteristic, complemented
11#10590728C211yesmaximal, characteristic
12#10590675C211yesmaximal, characteristic, complemented
13#10590602C211yesmaximal, characteristic, complemented
14#10590518C211yesmaximal, characteristic, complemented
15#10590493C211yesmaximal, characteristic, complemented
16#81749—31nomaximal
17#80195—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3797C2211yescharacteristic
20#64155C2211yescharacteristic
21#64101C2211yescharacteristic
22C3×#944C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C2×C3×Dic12C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#890C2211yescharacteristic
27#63904—21no—
28C4×#626C2211yescharacteristic
29#63890—21no—
30D3×C4⋊Dic3C2211yescharacteristic
31#63888—21no—
32#63878—21no—
33#63872—21no—
34#63871C2211yescharacteristic
35#63856C2211yescharacteristic
36#63851—21no—
37#63848—21no—
38Dic3×Dic6C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63839—21no—
41C2×#3718C2211yescharacteristic
42C2×#3712C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63662C2211yescharacteristic
46#63647C2211yescharacteristic
47#63644C2211yescharacteristic
48#63634C2211yescharacteristic
49C3×#835C2211yescharacteristic
50C3×(C2×D3)⋊C8C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#815C2211yescharacteristic
53C3×#810C2211yescharacteristic
54C3×#810C2211yescharacteristic
55#63573C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63566C2211yescharacteristic
60#63565C2211yescharacteristic
61Q8×#67—31no—
62#5727—31no—
63#5694—31no—
64#5642—31no—
65C3×#491—31no—
66C3×#451—31no—
67C2×#835—31no—
68#5189—31no—
69#5186—31no—
70#5184—31no—
71#5182—31no—
72#5090—31no—
73#5063—31no—
74#5051—31no—
75#4816—31no—
76#4815—31no—
77#4815—31no—
78#4815—61no—
79#4813—31no—
80#4809—31no—
81#4809D311yescharacteristic, complemented
82#4805—31no—
83#4802—31no—
84#4802—31no—
85D3×#103—31no—
86#4799—31no—
87#4797D311yescharacteristic, complemented
88#4730—31no—
89#4721—31no—
90#4716—31no—
91#4706—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3C2311yescharacteristic
94C3×D3×Q8—22no—
95C3×D3×Q8—41no—
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6—21no—
99C2×C3×Dic6C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×#626D411yescharacteristic
104C2×#624—21no—
105C2×D3×Dic3—21no—
106#3797—22no—
107#3797—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3752—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#216—41no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×Dic12—22no—
129#3724—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3D411yescharacteristic
135#3722—21no—
136#3722D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141#3718—41no—
142#3712—41no—
143D3×C3⋊C8—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×D3×Q8C2×D311yescharacteristic
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C3×C4⋊Q8—31no—
152C3×#125—31no—
153C3×C22⋊Q8—31no—
154#946—31no—
155#946—31no—
156#946—31no—
157#946—31no—
158#946—61no—
159#946—61no—
160Q8×Dic3—31no—
161Q8×Dic3—31no—
162#944—61no—
163#944C2×D311yescharacteristic
164C2×#216—31no—
165C2×#216—31no—
166C2×#216C2×D311yescharacteristic
167C4×#67—31no—
168C4×#67—61no—
169C2×C4⋊Dic3—31no—
170#924—31no—
171#924—61no—
172C22×C3⋊C8—31no—
173C2×Dic12C2×D311yescharacteristic
174C2×ΓL(1,𝔽25)—31no—
175C2×ΓL(1,𝔽25)—31no—
176C2×D3×C8—31no—
177#898—61no—
178#898—61no—
179#897—31no—
180#897C2×D311yescharacteristic
181#896—61no—
182#896—61no—
183#894—61no—
184#893—61no—
185#892—31no—
186#892—31no—
187#892—61no—
188#892—61no—
189D3×C4⋊C4—31no—
190#890—61no—
191#890—61no—
192#890C2×D311yescharacteristic
193#888—61no—
194#886—61no—
195#877—61no—
196C4×D12—31no—
197C4×Dic6—31no—
198C4×Dic6—31no—
199C3×#103—21no—
200C3×#103—31no—
201C3×#103—31no—
202C3×#103—31no—
203C3×#103—31no—
204C3×#103C2×D311yescharacteristic
205C3×#103C2×D311yescharacteristic
206C3×C22⋊C8—31no—
207C3×#97—31no—
208#835—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835—31no—
214#835—61no—
215#835C2×D311yescharacteristic
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—61no—
219(C2×D3)⋊C8C2×D311yescharacteristic
220#817—31no—
221#817—31no—
222#817—31no—
223#817—61no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816C2×D311yescharacteristic
228#815C2×D311yescharacteristic
229Dic3⋊C8—31no—
230#810—31no—
231#810C2×D311yescharacteristic
232#810C2×D311yescharacteristic
233#808—31no—
234#807—31no—
235#807—31no—
236#807—61no—
237C4⋊(C3⋊C8)—31no—
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
248C4×C3⋊D3—21no—
249C4×C3⋊D3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—42no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—42no—
266C3×Dic6#4112yes—
267#627—42no—
268#626—22no—
269#624—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—31no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—91no—
283#462—91no—
284#451—31no—
285#451—91no—
286#441—91no—
287#435—91no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8—31no—
294C2×C3×Q8—61no—
295C2×C3×Q8—62no—
296C2×C3×Q8—121no—
297C2×C3×Q8C22×D311yescharacteristic
298C2×C3×Q8C22×D311yescharacteristic
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C2×#67—31no—
302C22×Dic3—61no—
303D3×Q8—22no—
304D3×Q8—41no—
305D3×Q8—62no—
306D3×Q8—62no—
307D3×Q8—121no—
308D3×Q8—121no—
309C2×D12—31no—
310C2×C4×D3—21no—
311C2×C4×D3—31no—
312C2×C4×D3—31no—
313C2×C4×D3—61no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3C22×D311yescharacteristic
318C2×Dic6—21no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6C22×D311yescharacteristic
322C2×Dic6C22×D311yescharacteristic
323C2×Dic6C22×D311yescharacteristic
324C3×Q16—62no—
325C3×Q16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—21no—
332C3×C4⋊C4—31no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C42—31no—
342#217—31no—
343#217—61no—
344#216—41no—
345#216—121no—
346#216—121no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—31no—
349(C2×D3)⋊C4—31no—
350(C2×D3)⋊C4—31no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—121no—
359(C2×D3)⋊C4—121no—
360C4⋊Dic3—21no—
361C4⋊Dic3—21no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—31no—
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—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—121no—
394C4×Dic3C22×D311yescharacteristic
395C2×C3⋊C8—31no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8—121no—
399C2×C3⋊C8C22×D311yescharacteristic
400C2×C3⋊C8C22×D311yescharacteristic
401Dic12—22no—
402ΓL(1,𝔽25)—121no—
403ΓL(1,𝔽25)—121no—
404D3×C8—121no—
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—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—31no—
429C2×Q16—31no—
430C2×Q16—91no—
431C2×M16—91no—
432C22×C8—91no—
433C4⋊Q8—31no—
434C4⋊Q8—181no—
435#126—181no—
436#125—31no—
437#125—181no—
438#123—181no—
439C22⋊Q8—31no—
440C22⋊Q8—91no—
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—91no—
450#117—181no—
451C2×C4⋊C4—91no—
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#103D3211yescharacteristic
466C22⋊C8—31no—
467C22⋊C8—91no—
468#97—31no—
469C23×C3—31no—
470C22×D3—31no—
471C22×D3—31no—
472C22×D3—61no—
473C22×D3D3×D411yescharacteristic
474C3×Q8—21no—
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—32no—
479C3×Q8—41no—
480C3×Q8—41no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C3×Q8—122no—
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—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—122no—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—62no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—62no—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—42no—
528C4×D3—61no—
529C4×D3—61no—
530C4×D3—61no—
531C4×D3—61no—
532C4×D3—121no—
533C4×D3—121no—
534C4×D3—122no—
535C4×D3—122no—
536C4×D3—122no—
537Dic6—21no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6—21no—
542Dic6—42no—
543Dic6—122no—
544Dic6—122no—
545Dic6#23712yes—
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—41no—
560C3×D3—22no—
561C2×Q8—31no—
562C2×Q8—31no—
563C2×Q8—31no—
564C2×Q8—61no—
565C2×Q8—62no—
566C2×Q8—121no—
567C2×Q8—181no—
568C2×Q8—182no—
569C2×Q8—361no—
570C2×Q8C2×D3211yescharacteristic
571C2×D4—91no—
572C22×C4—31no—
573C22×C4—61no—
574C22×C4—91no—
575C22×C4—181no—
576C22×C4—181no—
577Q16—62no—
578Q16—121no—
579Q16—361no—
580M16—361no—
581C2×C8—31no—
582C2×C8—31no—
583C2×C8—91no—
584C2×C8—361no—
585C2×C8C2×D3211yescharacteristic
586C4⋊C4—31no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—91no—
593C4⋊C4—91no—
594C4⋊C4—91no—
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—91no—
604C22⋊C4—91no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C42—31no—
610C42—181no—
611C42—181no—
612C42—181no—
613C22×C3—21no—
614C22×C3—32no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3C2×D3×D411yescharacteristic
618C22×C3C2×D3×D411yescharacteristic
619C2×D3—21no—
620C2×D3—21no—
621C2×D3—61no—
622C2×D3—61no—
623C2×D3—61no—
624C2×D3—61no—
625C2×D3—61no—
626C2×D3—61no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3#91812yes—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—41no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—62no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—81no—
642C3×C4—81no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4C2×#23711yescharacteristic
647C3×C4#100411yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4#100911yescharacteristic
650Dic3—21no—
651Dic3—21no—
652Dic3—22no—
653Dic3—21no—
654Dic3—41no—
655Dic3—41no—
656Dic3—41no—
657Dic3—61no—
658Dic3—61no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665Dic3—241no—
666C32#331211yescharacteristic, complemented, Sylow
667C23—31no—
668C23—91no—
669Q8—21no—
670Q8—21no—
671Q8—32no—
672Q8—61no—
673Q8—61no—
674Q8—61no—
675Q8—61no—
676Q8—61no—
677Q8—122no—
678Q8—362no—
679D4—182no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—91no—
692C2×C4—122no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—181no—
696C2×C4—181no—
697C2×C4—362no—
698C2×C4—362no—
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—61no—
702C8—61no—
703C8—181no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—62no—
708C2×C3#559111yescharacteristic
709C2×C3#567611yescharacteristic
710C2×C3C2×#91811yescharacteristic
711C2×C3D3×#13711yescharacteristic
712C2×C3#577911yescharacteristic
713C2×C3#577911yescharacteristic
714D3—22no—
715D3—121no—
716D3—121no—
717D3—241no—
718C22—32no—
719C22—61no—
720C22—61no—
721C22—181no—
722C22—181no—
723C22—181no—
724C22D32×D411yescharacteristic
725C4—41no—
726C4—41no—
727C4—61no—
728C4—61no—
729C4—61no—
730C4—62no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—181no—
735C4—361no—
736C4—361no—
737C4#6430711yescharacteristic
738C4D3×#23711yescharacteristic
739C3—21no—
740C3#8019511yescharacteristic, complemented
741C3#8174911yescharacteristic, complemented
742C2—62no—
743C2—361no—
744C2#1059428111yescharacteristic
745C2#1059475211yescharacteristic
746C2D3×#91811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#626D4
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. #10592514C2semidirect
4. C3×#4809C2semidirect
5. C3×#4797C2semidirect
6. #10591600C2semidirect
7. #10591574C2semidirect
8. D3×#835C2semidirect
9. #10590950C2semidirect
10. #10590812C2semidirect
12. #10590675C2semidirect
13. #10590602C2semidirect
14. #10590518C2semidirect
15. #10590493C2semidirect
81. #4809D3semidirect
87. #4797D3semidirect
666. C32#3312semidirect
740. C3#80195semidirect
741. C3#81749semidirect

Maximal subgroups

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

subgroupindex
#105954032
#105944572
#105925142
C3×#48092
C3×#47972
#105916002
#105915742
D3×#8352
#105909502
#105908122
#105907282
#105906752
#105906022
#105905182
#105904932
#817493
#801953