Finite Group Databasebeta

← #11889472

Subgroups — #11889472

Order 1152.

807 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595379C211yesmaximal, characteristic
2#10594383C211yesmaximal, characteristic
3#10592515C211yesmaximal, characteristic, complemented
4C3×#4813C211yesmaximal, characteristic, complemented
5C3×#4789C211yesmaximal, characteristic, complemented
6#10591654C211yesmaximal, characteristic, complemented
7#10591653C211yesmaximal, characteristic, complemented
8#10591625C211yesmaximal, characteristic, complemented
9#10590898C211yesmaximal, characteristic, complemented
10#10590726C211yesmaximal, characteristic
11#10590691C211yesmaximal, characteristic, complemented
12D3×#816C211yesmaximal, characteristic, complemented
13#10590544C211yesmaximal, characteristic, complemented
14#10590450C211yesmaximal, characteristic, complemented
15#10590439C211yesmaximal, characteristic, complemented
16#80782—31nomaximal
17#79841—31nomaximal
18C2×#3797C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20#64155C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22C2×#3743C2211yescharacteristic
23#64106C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C3×Q8×Dic3C2211yescharacteristic
26C2×C3×#216C2211yescharacteristic
27C2×C3×#216C2211yescharacteristic
28C2×C3×D3×C8C2211yescharacteristic
29C3×#897C2211yescharacteristic
30C3×#887C2211yescharacteristic
31#63918—21no—
32C4×#626C2211yescharacteristic
33#63895—21no—
34#63893—21no—
35#63890—21no—
36D3×C4⋊Dic3C2211yescharacteristic
37#63880—21no—
38#63877—21no—
39#63869C2211yescharacteristic
40#63868—21no—
41#63866C2211yescharacteristic
42#63849C2211yescharacteristic
43#63846—21no—
44C32×#103C2211yescharacteristic
45#63643C2211yescharacteristic
46#63635C2211yescharacteristic
47C3×#816C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×#815C2211yescharacteristic
50C3×#808C2211yescharacteristic
51C3×#807C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63557C2211yescharacteristic
60(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
61#5642—31no—
62#5632—31no—
63#5581—31no—
64Q8×D12—31no—
65C3×#467—31no—
66C3×#441—31no—
67#5186—31no—
68#5186—31no—
69#5186—31no—
70#5182—31no—
71#5111—31no—
72C2×#816—31no—
73#5050—31no—
74#5043—31no—
75#5031—31no—
76#5022—31no—
77#4888—31no—
78#4877—31no—
79#4868—31no—
80#4862—31no—
81#4816—31no—
82#4816—31no—
83#4816—61no—
84#4813D311yescharacteristic, complemented
85#4802—31no—
86#4802—31no—
87D3×#103—31no—
88#4797—31no—
89#4789D311yescharacteristic, complemented
90#4706—31no—
91#4703—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×C4×D3C2311yescharacteristic
96C2×C3×Dic6C2311yescharacteristic
97C2×C3×Dic6C2311yescharacteristic
98C2×#627—21no—
99C2×#627—21no—
100C2×#626D411yescharacteristic
101C2×#624—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104#3797—22no—
105#3797—41no—
106D3×Dic6—22no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3756—41no—
111#3752—21no—
112#3752—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117#3743—41no—
118C3×#216—22no—
119C3×#216—41no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3—21no—
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3—21no—
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133C3×D3×C8—41no—
134#3724—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3—21no—
138Dic3⋊Dic3—21no—
139Dic3⋊Dic3D411yescharacteristic
140#3722—21no—
141#3722D411yescharacteristic
142(C2×D3)⋊Dic3D411yescharacteristic
143Dic32—21no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C22×Dic6—31no—
149C2×C3×Q16—31no—
150C2×C3×Q16—31no—
151C22×C3×C8—31no—
152C3×C22⋊Q8—31no—
153C3×C22⋊Q8—31no—
154C3×C4×Q8—31no—
155C3×C4×Q8—31no—
156#946—31no—
157#946—31no—
158#946—61no—
159#946C2×D311yescharacteristic
160Q8×Dic3C2×D311yescharacteristic
161#944—31no—
162C2×#216—31no—
163C2×#216—31no—
164C2×#216—61no—
165C2×#216C2×D311yescharacteristic
166C2×#216C2×D311yescharacteristic
167C4×#67—31no—
168C2×C4⋊Dic3—31no—
169C2×ΓL(1,𝔽25)—31no—
170C2×ΓL(1,𝔽25)—31no—
171C2×ΓL(1,𝔽25)—61no—
172C2×D3×C8C2×D311yescharacteristic
173#898—61no—
174#897—31no—
175#897—31no—
176#897—61no—
177#897—61no—
178#897—61no—
179#897C2×D311yescharacteristic
180#896—61no—
181#894—61no—
182#892—31no—
183#892—31no—
184D3×C4⋊C4—31no—
185#890—31no—
186#890—61no—
187#889—61no—
188#888—61no—
189#887C2×D311yescharacteristic
190#886—61no—
191#67⋊C4—61no—
192#878—61no—
193#877—61no—
194#876—61no—
195C4×D12—31no—
196C4×D12—61no—
197#872—61no—
198#870—31no—
199#869—31no—
200#869—61no—
201C3×#107—31no—
202C3×#106—31no—
203C3×#103—21no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103C2×D311yescharacteristic
207C3×#103C2×D311yescharacteristic
208C3×#97—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#830—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—31no—
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—61no—
224#816C2×D311yescharacteristic
225#816C2×D311yescharacteristic
226#815C2×D311yescharacteristic
227Dic3⋊C8—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#808—31no—
233#808—31no—
234#808—61no—
235#808C2×D311yescharacteristic
236#807C2×D311yescharacteristic
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—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265#627—42no—
266#627—42no—
267#626—22no—
268#624—42no—
269D3×Dic3—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—91no—
278#485—91no—
279#483—91no—
280#479—91no—
281#470—91no—
282#467—31no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—31no—
287#435—91no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—31no—
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C22×C3×C4—31no—
296C2×#67—31no—
297C22×Dic3—61no—
298C22×Dic3—61no—
299D3×Q8—62no—
300D3×Q8—62no—
301D3×Q8—62no—
302D3×Q8—121no—
303D3×Q8—121no—
304D3×Q8—121no—
305C2×D12—31no—
306C2×C4×D3—31no—
307C2×C4×D3—31no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3C22×D311yescharacteristic
314C2×Dic6—31no—
315C2×Dic6—31no—
316C2×Dic6—61no—
317C2×Dic6—62no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C2×Dic6C22×D311yescharacteristic
325C3×Q16—62no—
326C3×Q16—121no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C3×C4⋊C4—21no—
334C3×C4⋊C4—31no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—61no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C22⋊C4—61no—
343C3×C22⋊C4—61no—
344C3×C42—31no—
345C3×C42—61no—
346C3×C42—61no—
347#217—31no—
348#216—22no—
349#216—41no—
350#216—121no—
351#216—121no—
352#216—122no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—121no—
365(C2×D3)⋊C4—121no—
366C4⋊Dic3—21no—
367C4⋊Dic3—21no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—61no—
378C4⋊Dic3—121no—
379C4⋊Dic3C22×D311yescharacteristic
380C4⋊Dic3C22×D311yescharacteristic
381Dic3⋊C4—21no—
382Dic3⋊C4—21no—
383Dic3⋊C4—31no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391Dic3⋊C4—61no—
392Dic3⋊C4—121no—
393C4×Dic3—21no—
394C4×Dic3—21no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3C22×D311yescharacteristic
398C2×C3⋊C8—31no—
399C2×C3⋊C8—31no—
400C2×C3⋊C8—61no—
401C2×C3⋊C8C22×D311yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403ΓL(1,𝔽25)—121no—
404ΓL(1,𝔽25)—121no—
405ΓL(1,𝔽25)—122no—
406D3×C8—41no—
407C22×C32C22×D411yescharacteristic
408C2×C3⋊D3—21no—
409C2×C3⋊D3—21no—
410C2×C3⋊D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3#13712yes—
414C32×C4—41no—
415C32×C4—41no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—21no—
419C3⋊Dic3—41no—
420C3⋊Dic3—41no—
421C3×Dic3—22no—
422C3×Dic3—21no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—91no—
429C22×Q8—91no—
430C2×Q16—31no—
431C2×Q16—31no—
432C2×Q16—91no—
433C2×M16—91no—
434C22×C8—31no—
435C4⋊Q8—91no—
436C4⋊Q8—181no—
437#126—181no—
438#125—91no—
439#125—181no—
440#123—181no—
441C22⋊Q8—31no—
442C22⋊Q8—31no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—31no—
448C4×Q8—31no—
449C4×D4—91no—
450C4×D4—181no—
451#117—91no—
452#117—181no—
453C2×C4⋊C4—91no—
454#107—31no—
455#106—31no—
456#106—91no—
457C4⋊C8—91no—
458#103—31no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103D3211yescharacteristic
468C22⋊C8—91no—
469C22⋊C8—91no—
470#97—31no—
471C23×C3—31no—
472C22×D3—31no—
473C22×D3—31no—
474C22×D3—61no—
475C22×D3D3×D411yescharacteristic
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—32no—
481C3×Q8—41no—
482C3×Q8—41no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×Q8—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—41no—
495C2×C3×C4—41no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4C23×D311yescharacteristic
503C2×C3×C4C23×D311yescharacteristic
504#67—62no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—121no—
517C2×Dic3—121no—
518C2×Dic3—122no—
519C2×Dic3—122no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523D12—62no—
524C4×D3—21no—
525C4×D3—21no—
526C4×D3—61no—
527C4×D3—61no—
528C4×D3—61no—
529C4×D3—61no—
530C4×D3—121no—
531C4×D3—121no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535C4×D3—122no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—121no—
544Dic6—121no—
545Dic6—122no—
546Dic6—122no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23512yes—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—41no—
553C3×C8—61no—
554C3×C8—61no—
555C3⋊C8—21no—
556C3⋊C8—21no—
557C3⋊C8—62no—
558C3⋊C8—61no—
559C3⋊C8—61no—
560C2×C32#54611yescharacteristic
561C2×C32C2×#13711yescharacteristic
562C2×C32#57811yescharacteristic
563C3⋊D3—41no—
564C3×D3—22no—
565C2×Q8—31no—
566C2×Q8—31no—
567C2×Q8—91no—
568C2×Q8—181no—
569C2×Q8—181no—
570C2×Q8—182no—
571C2×Q8—182no—
572C2×Q8—361no—
573C2×Q8—361no—
574C2×Q8C2×D3211yescharacteristic
575C2×D4—91no—
576C22×C4—31no—
577C22×C4—91no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581Q16—62no—
582Q16—121no—
583Q16—361no—
584M16—361no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—91no—
588C2×C8—121no—
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—91no—
609C22⋊C4—91no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—31no—
614C42—61no—
615C42—61no—
616C42—181no—
617C22×C3—21no—
618C22×C3—32no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—61no—
626C2×D3—61no—
627C2×D3—61no—
628C2×D3—61no—
629C2×D3—61no—
630C2×D3—61no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3#91812yes—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—61no—
644C3×C4—62no—
645C3×C4—81no—
646C3×C4—81no—
647C3×C4—121no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23511yescharacteristic
651C3×C4#100411yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4#100911yescharacteristic
654Dic3—21no—
655Dic3—21no—
656Dic3—22no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—41no—
661Dic3—61no—
662Dic3—61no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—241no—
669Dic3—241no—
670C32#331211yescharacteristic, complemented, Sylow
671C23—31no—
672C23—91no—
673Q8—21no—
674Q8—21no—
675Q8—32no—
676Q8—61no—
677Q8—61no—
678Q8—61no—
679Q8—181no—
680Q8—181no—
681Q8—362no—
682Q8—362no—
683D4—182no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—31no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—91no—
696C2×C4—181no—
697C2×C4—181no—
698C2×C4—181no—
699C2×C4—181no—
700C2×C4—362no—
701C2×C4—362no—
702C2×C4—362no—
703C2×C4C22×D3211yescharacteristic
704C8—21no—
705C8—61no—
706C8—61no—
707C8—181no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—62no—
712C2×C3#555011yescharacteristic
713C2×C3#561011yescharacteristic
714C2×C3C2×#91811yescharacteristic
715C2×C3#577111yescharacteristic
716C2×C3D3×#13711yescharacteristic
717C2×C3#577911yescharacteristic
718D3—22no—
719D3—121no—
720D3—121no—
721D3—241no—
722C22—32no—
723C22—61no—
724C22—61no—
725C22—181no—
726C22—181no—
727C22—181no—
728C22D32×D411yescharacteristic
729C4—41no—
730C4—41no—
731C4—61no—
732C4—61no—
733C4—61no—
734C4—62no—
735C4—121no—
736C4—121no—
737C4—121no—
738C4—181no—
739C4—361no—
740C4—361no—
741C4D3×#23511yescharacteristic
742C4#6431411yescharacteristic
743C3—21no—
744C3#7984111yescharacteristic, complemented
745C3#8078211yescharacteristic, complemented
746C2—62no—
747C2—361no—
748C2#1059428311yescharacteristic
749C2#1059475611yescharacteristic
750C2D3×#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. #10592515C2semidirect
4. C3×#4813C2semidirect
5. C3×#4789C2semidirect
6. #10591654C2semidirect
7. #10591653C2semidirect
8. #10591625C2semidirect
9. #10590898C2semidirect
11. #10590691C2semidirect
12. D3×#816C2semidirect
13. #10590544C2semidirect
14. #10590450C2semidirect
15. #10590439C2semidirect
84. #4813D3semidirect
89. #4789D3semidirect
670. C32#3312semidirect
744. C3#79841semidirect
745. C3#80782semidirect

Maximal subgroups

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

subgroupindex
#105953792
#105943832
#105925152
C3×#48132
C3×#47892
#105916542
#105916532
#105916252
#105908982
#105907262
#105906912
D3×#8162
#105905442
#105904502
#105904392
#807823
#798413