Finite Group Databasebeta

← #11872376

Subgroups — #11872376

Order 1152.

849 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#10595218C211yesmaximal, characteristic, complemented
2#10594361C211yesmaximal, characteristic, complemented
3#10592473C211yesmaximal, characteristic, complemented
4C3×#4786C211yesmaximal, characteristic, complemented
5C3×#4758C211yesmaximal, characteristic, complemented
6#10591520C211yesmaximal, characteristic, complemented
7#10591438C211yesmaximal, characteristic, complemented
8#10591430C211yesmaximal, characteristic, complemented
9#10590963C211yesmaximal, characteristic, complemented
10#10590811C211yesmaximal, characteristic, complemented
11Dic3×D24C211yesmaximal, characteristic, complemented
12#10590648C211yesmaximal, characteristic, complemented
13#10590545C211yesmaximal, characteristic, complemented
14#10590511C211yesmaximal, characteristic, complemented
15#10590454C211yesmaximal, characteristic, complemented
16#80316—31nomaximal
17#79697—31nomaximal
18C2×#3796C2211yescharacteristic
19#64147C2211yescharacteristic
20C4⋊C4×C3⋊D3C2211yescharacteristic
21C3×#940C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C2×C3×#213C2211yescharacteristic
25C2×C3×D24C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#63978—21no—
29#63971—21no—
30#63969—21no—
31#63961—21no—
32#63916C2211yescharacteristic
33C4×#626—21no—
34Dic3×D12C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36#63881—21no—
37#63877—21no—
38D3×Dic3⋊C4—21no—
39#63874C2211yescharacteristic
40#63869C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63659C2211yescharacteristic
45#63647C2211yescharacteristic
46#63645C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×Dic3⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63573C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63557C2211yescharacteristic
60#63554C2211yescharacteristic
61#5719—31no—
62#5574—31no—
63#5562—31no—
64#5546—31no—
65C3×#459—31no—
66C3×C4×SD16—31no—
67#5172—31no—
68#5163—31no—
69#5158—31no—
70#5158—31no—
71#5152—31no—
72Dic3×D8—31no—
73#5075—31no—
74#5026—31no—
75#5014—31no—
76#5009—31no—
77#4871—31no—
78#4863—31no—
79#4840—31no—
80#4829—31no—
81#4810—31no—
82#4796—31no—
83#4786D311yescharacteristic, complemented
84#4777—31no—
85#4774—31no—
86#4774—31no—
87#4774—61no—
88#4758D311yescharacteristic, complemented
89#4757—31no—
90C4×D24—31no—
91#4690—31no—
92C2×C32×D4C2311yescharacteristic
93C2×#638—21no—
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3C2311yescharacteristic
96C2×C3×#67—21no—
97C2×C3×#67—21no—
98C22×C3×Dic3—21no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×Dic6C2311yescharacteristic
103C2×#626—21no—
104C2×#626—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3796—22no—
109#3796—22no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112#3757—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×#217—21no—
118C3×#214—22no—
119C3×#213—22no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×D24—22no—
129#3724—21no—
130#3724D411yescharacteristic
131#3724D411yescharacteristic
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722D411yescharacteristic
135#3722D411yescharacteristic
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139Dic32—21no—
140#3715—22no—
141#3119—91noSylow
142C2×#239—31no—
143C2×#237—31no—
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C2×C3×D8—31no—
147C3×#127—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151Q8×Dic3—31no—
152C2×#215—31no—
153#940C2×D311yescharacteristic
154#939—61no—
155#939—61no—
156#938—31no—
157#938—31no—
158#938—31no—
159#938—61no—
160#935—61no—
161#935—61no—
162D4×Dic3—31no—
163D4×Dic3—31no—
164D4×Dic3C2×D311yescharacteristic
165C2×#214—31no—
166C2×#214C2×D311yescharacteristic
167C2×#213C2×D311yescharacteristic
168#930—61no—
169#929—61no—
170C4×#67—61no—
171C2×Dic3⋊C4—61no—
172C2×D24C2×D311yescharacteristic
173#895—31no—
174#893—61no—
175#893C2×D311yescharacteristic
176D3×C4⋊C4—31no—
177D3×C4⋊C4—31no—
178D3×C4⋊C4—61no—
179D3×C4⋊C4—61no—
180#890—31no—
181#887C2×D311yescharacteristic
182#884—61no—
183#883—61no—
184#67⋊C4—61no—
185#877—61no—
186C4×D12—31no—
187C4×D12—31no—
188C4×D12—61no—
189#872—31no—
190#872—31no—
191#872—61no—
192#870—31no—
193C4×Dic6—31no—
194C3×#106—31no—
195C3×C4⋊C8—31no—
196C3×#103—31no—
197C3×#102—21no—
198C3×#102—31no—
199C3×#102C2×D311yescharacteristic
200C3×#102C2×D311yescharacteristic
201C3×C4×C8—31no—
202#835—31no—
203#832—31no—
204#832—31no—
205#832—31no—
206#832—31no—
207#832—31no—
208#832—61no—
209#821—31no—
210#821—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8—61no—
216#818—31no—
217#818—31no—
218#818—61no—
219#817—31no—
220#816—31no—
221#816C2×D311yescharacteristic
222#815—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8C2×D311yescharacteristic
225C8×Dic3C2×D311yescharacteristic
226#809—31no—
227#809C2×D311yescharacteristic
228#808—31no—
229#808C2×D311yescharacteristic
230#807—31no—
231#807—31no—
232#807—61no—
233C4⋊(C3⋊C8)—31no—
234#803—31no—
235C23×C32—21no—
236C22×C3⋊D3C2×D411yescharacteristic
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C32×D4—21no—
240C32×D4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243#638—81no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C4×C3⋊D3—21no—
248C4×C3⋊D3—21no—
249C4×C3⋊D3—81no—
250C3×#67—81no—
251C3×#67—81no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—81no—
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—21no—
260C3×D12—21no—
261C3×D12—21no—
262C3×D12#4112yes—
263C3×C4×D3—81no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#626—24no—
267#626—81no—
268D3×Dic3—24no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—91no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—31no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—31no—
288C4×D8—91no—
289#433—91no—
290C2×C3×Q8—31no—
291C2×C3×D4—21no—
292C2×C3×D4—31no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C2×C3×D4—61no—
296C2×C3×D4C22×D311yescharacteristic
297C2×C3×D4C22×D311yescharacteristic
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C2×#67—21no—
301C2×#67—21no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—121no—
307C22×Dic3—21no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—61no—
311#239—62no—
312#239—62no—
313#237—62no—
314#237—62no—
315C2×D12—61no—
316C2×D12—61no—
317C2×D12C22×D311yescharacteristic
318C2×D12C22×D311yescharacteristic
319C2×C4×D3—21no—
320C2×C4×D3—31no—
321C2×C4×D3—31no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—121no—
329C2×Dic6C22×D311yescharacteristic
330C3×SD16—62no—
331C3×D8—62no—
332C3×D8—62no—
333C2×C3×C8—21no—
334C2×C3×C8—31no—
335C2×C3×C8—31no—
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C3×C4⋊C4—21no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4C22×D311yescharacteristic
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C22⋊C4—61no—
344C3×C22⋊C4—61no—
345C3×C42—31no—
346C3×C42—31no—
347C3×C42—61no—
348#217—21no—
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#217—61no—
354#217—121no—
355#215—62no—
356#214—22no—
357#214—62no—
358#213—22no—
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—31no—
363(C2×D3)⋊C4—31no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
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—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—121no—
388C4×Dic3—21no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3C22×D311yescharacteristic
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398D24—22no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32—41no—
402C22×C32C22×D411yescharacteristic
403C2×C3⋊D3—21no—
404C2×C3⋊D3—21no—
405C2×C3⋊D3—21no—
406C2×C3×D3—22no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—41no—
413C32×C4C2×#4111yescharacteristic
414C32×C4C2×#4111yescharacteristic
415C3⋊Dic3—21no—
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3×Dic3—22no—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C2×#41—91no—
425C2×SD16—31no—
426C2×SD16—91no—
427C2×D8—31no—
428C2×D8—31no—
429#127—31no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—91no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—31no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—91no—
446#117—181no—
447C2×C4⋊C4—91no—
448C2×C4⋊C4—181no—
449#107—91no—
450#107—91no—
451#106—31no—
452#106—91no—
453C4⋊C8—31no—
454C4⋊C8—91no—
455#103—31no—
456#103—91no—
457#102—31no—
458#102—91no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102D3211yescharacteristic
463C22⋊C8—91no—
464C22⋊C8—91no—
465#97—91no—
466C4×C8—31no—
467C23×C3—21no—
468C23×C3—21no—
469C23×C3—41no—
470C23×C3—61no—
471C23×C3—61no—
472C22×D3—21no—
473C22×D3—21no—
474C22×D3—31no—
475C22×D3—31no—
476C22×D3—61no—
477C3×Q8—32no—
478C3×Q8—61no—
479C3×D4—21no—
480C3×D4—21no—
481C3×D4—21no—
482C3×D4—21no—
483C3×D4—32no—
484C3×D4—41no—
485C3×D4—41no—
486C3×D4—61no—
487C3×D4—61no—
488C3×D4—61no—
489C3×D4—241no—
490C3×D4—241no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—241no—
502C2×C3×C4—241no—
503C2×C3×C4C23×D311yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505#67—64no—
506#67—81no—
507#67—81no—
508#67—241no—
509#67—241no—
510#67—241no—
511#67—242no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—61no—
517C2×Dic3—64no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—81no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—241no—
526C2×Dic3—241no—
527C2×Dic3D3×D411yescharacteristic
528C2×Dic3D3×D411yescharacteristic
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531D12—21no—
532D12—21no—
533D12—21no—
534D12—64no—
535D12—241no—
536D12#23712yes—
537C4×D3—64no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—61no—
541C4×D3—61no—
542C4×D3—81no—
543C4×D3—121no—
544C4×D3—121no—
545C4×D3—241no—
546C4×D3—241no—
547C4×D3—241no—
548C4×D3—241no—
549C4×D3—242no—
550Dic6—21no—
551Dic6#23512yes—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—41no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C3⋊C8—61no—
560C3⋊C8—61no—
561C3⋊C8—121no—
562C2×C32—81no—
563C2×C32#52511yescharacteristic
564C2×C32#57611yescharacteristic
565C2×C32#57711yescharacteristic
566C3⋊D3—41no—
567C3×D3—42no—
568C3×D3—81no—
569#41—182no—
570#41—182no—
571C2×Q8—31no—
572C2×D4—31no—
573C2×D4—31no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4C2×D3211yescharacteristic
580C22×C4—61no—
581C22×C4—61no—
582C22×C4—91no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586C22×C4—181no—
587SD16—62no—
588SD16—182no—
589D8—62no—
590D8—62no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—61no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—91no—
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—
613C22⋊C4—181no—
614C42—31no—
615C42—31no—
616C42—61no—
617C42—181no—
618C22×C3—21no—
619C22×C3—41no—
620C22×C3—41no—
621C22×C3—41no—
622C22×C3—41no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—62no—
626C22×C3—81no—
627C22×C3—81no—
628C22×C3—81no—
629C22×C3—121no—
630C22×C3—121no—
631C22×C3—121no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3C2×D3×D411yescharacteristic
635C22×C3C2×D3×D411yescharacteristic
636C2×D3—22no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—41no—
641C2×D3—41no—
642C2×D3—62no—
643C2×D3—61no—
644C2×D3—61no—
645C2×D3—61no—
646C2×D3—61no—
647C2×D3—61no—
648C2×D3—61no—
649C2×D3—121no—
650C2×D3—121no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—41no—
654C3×C4—41no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—62no—
660C3×C4—81no—
661C3×C4—121no—
662C3×C4C2×#23511yescharacteristic
663C3×C4C2×#23711yescharacteristic
664C3×C4D3×#4111yescharacteristic
665C3×C4D3×#4111yescharacteristic
666Dic3—21no—
667Dic3—21no—
668Dic3—21no—
669Dic3—21no—
670Dic3—22no—
671Dic3—41no—
672Dic3—61no—
673Dic3—61no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678Dic3—121no—
679Dic3—241no—
680Dic3—241no—
681C32#311911yescharacteristic, complemented, Sylow
682C23—21no—
683C23—61no—
684C23—61no—
685C23—91no—
686Q8—32no—
687Q8—61no—
688D4—21no—
689D4—21no—
690D4—32no—
691D4—61no—
692D4—61no—
693D4—61no—
694D4—184no—
695D4—241no—
696D4—241no—
697D4—721no—
698D4—721no—
699C2×C4—21no—
700C2×C4—31no—
701C2×C4—31no—
702C2×C4—31no—
703C2×C4—31no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—91no—
707C2×C4—184no—
708C2×C4—181no—
709C2×C4—181no—
710C2×C4—181no—
711C2×C4—181no—
712C2×C4—241no—
713C2×C4—241no—
714C2×C4—721no—
715C2×C4—721no—
716C2×C4—721no—
717C2×C4C22×D3211yescharacteristic
718C8—21no—
719C8—61no—
720C8—61no—
721C8—181no—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—81no—
726C2×C3—81no—
727C2×C3—122no—
728C2×C3—161no—
729C2×C3—241no—
730C2×C3#554711yescharacteristic
731C2×C3#560611yescharacteristic
732C2×C3#575711yescharacteristic
733C2×C3#576211yescharacteristic
734C2×C3#576911yescharacteristic
735C2×C3#577511yescharacteristic
736D3—42no—
737D3—81no—
738D3—122no—
739D3—121no—
740D3—121no—
741C22—41no—
742C22—41no—
743C22—41no—
744C22—62no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22—121no—
749C22—121no—
750C22—181no—
751C22—181no—
752C22—181no—
753C22D32×D411yescharacteristic
754C4—41no—
755C4—61no—
756C4—61no—
757C4—61no—
758C4—61no—
759C4—62no—
760C4—121no—
761C4—181no—
762C4—361no—
763C4—361no—
764C4D3×#23511yescharacteristic
765C4D3×#23711yescharacteristic
766C3—21no—
767C3#7969711yescharacteristic, complemented
768C3#8031611yescharacteristic, complemented
769C2—81no—
770C2—122no—
771C2—241no—
772C2—361no—
773C2#1059428611yescharacteristic
774C2#1059473411yescharacteristic
775C2#1059474911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
hypercenter#102D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #10595218C2semidirect
2. #10594361C2semidirect
3. #10592473C2semidirect
4. C3×#4786C2semidirect
5. C3×#4758C2semidirect
6. #10591520C2semidirect
7. #10591438C2semidirect
8. #10591430C2semidirect
9. #10590963C2semidirect
10. #10590811C2semidirect
11. Dic3×D24C2semidirect
12. #10590648C2semidirect
13. #10590545C2semidirect
14. #10590511C2semidirect
15. #10590454C2semidirect
83. #4786D3semidirect
88. #4758D3semidirect
681. C32#3119semidirect
767. C3#79697semidirect
768. C3#80316semidirect

Maximal subgroups

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

subgroupindex
#105952182
#105943612
#105924732
C3×#47862
C3×#47582
#105915202
#105914382
#105914302
#105909632
#105908112
Dic3×D242
#105906482
#105905452
#105905112
#105904542
#803163
#796973