Finite Group Databasebeta

← #11895133

Subgroups — #11895133

Order 1152.

906 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594520C211yesmaximal, characteristic, complemented
2#10594376C211yesmaximal, characteristic, complemented
3#10592589C211yesmaximal, characteristic, complemented
4C3×#4890C211yesmaximal, characteristic, complemented
5C3×#4872C211yesmaximal, characteristic, complemented
6#10590878C211yesmaximal, characteristic, complemented
7#10590753C211yesmaximal, characteristic, complemented
8#10590749C211yesmaximal, characteristic, complemented
9#10590644C211yesmaximal, characteristic, complemented
10#10590555C211yesmaximal, characteristic, complemented
11#10590552C211yesmaximal, characteristic, complemented
12#10590548C211yesmaximal, characteristic, complemented
13#10590547C211yesmaximal, characteristic, complemented
14#10590459C211yesmaximal, characteristic, complemented
15#10590452C211yesmaximal, characteristic, complemented
16#80992—31nomaximal
17#79567—31nomaximal
18C2×#3798—21no—
19C2×D3×Dic6—21no—
20#64102C2211yescharacteristic
21#64097C2211yescharacteristic
22C2×C3×D24C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#893C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#888C2211yescharacteristic
27#63918C2211yescharacteristic
28C4×#627C2211yescharacteristic
29#63914C2211yescharacteristic
30#63912—21no—
31#63911C2211yescharacteristic
32#63911C2211yescharacteristic
33#63906—21no—
34#63906—21no—
35#63898C2211yescharacteristic
36#63896—21no—
37Dic3×D12C2211yescharacteristic
38#63887—21no—
39#63851—21no—
40C2×#3714C2211yescharacteristic
41C2×#3713C2211yescharacteristic
42C32×#107C2211yescharacteristic
43#63648C2211yescharacteristic
44#63641C2211yescharacteristic
45#63636C2211yescharacteristic
46#63634C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×Dic3⋊C8C2211yescharacteristic
49C3×C8×Dic3C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#807C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63564C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63553C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5727—31no—
62#5553—31no—
63#5553—31no—
64D4×Dic6—31no—
65C3×#474—31no—
66C3×C4×D8—31no—
67#5150—31no—
68#5150—31no—
69#5088—31no—
70#5015—31no—
71C4×#213—31no—
72#5007—31no—
73#4890—31no—
74#4890—31no—
75#4890—31no—
76#4890—61no—
77#4890D311yescharacteristic, complemented
78#4872—31no—
79#4872D311yescharacteristic, complemented
80#4843—31no—
81#4830—31no—
82#4786—31no—
83#4786—31no—
84#4760—31no—
85#4760—31no—
86#4760—31no—
87#4760—31no—
88#4756—31no—
89#4756—31no—
90#4694—31no—
91C8×Dic6—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4×C3⋊D3—21no—
94C2×#634—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×Dic6—21no—
102C2×#627—21no—
103C2×#627D411yescharacteristic
104C2×#626—21no—
105C2×#626—21no—
106C2×#626—21no—
107C2×#626—21no—
108C2×#625—21no—
109C2×#625—21no—
110C2×D3×Dic3—21no—
111C2×D3×Dic3—21no—
112#3798—44no—
113D3×Dic6—44no—
114C2×C32×C8C2311yescharacteristic
115C32×C4⋊C4C2311yescharacteristic
116C32×C4⋊C4C2311yescharacteristic
117#3752—21no—
118C4⋊(C3⋊Dic3)C2311yescharacteristic
119#3750—21no—
120C4×C3⋊Dic3C2311yescharacteristic
121C2×C3⋊(C3⋊C8)C2311yescharacteristic
122C3×(C2×D3)⋊C4—21no—
123C3×(C2×D3)⋊C4—21no—
124C3×(C2×D3)⋊C4—21no—
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C3×D24—22no—
132#3724D411yescharacteristic
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3D411yescharacteristic
135Dic3⋊Dic3D411yescharacteristic
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138#3714—22no—
139#3713—22no—
140#3358—91noSylow
141C2×D3×Q8—61no—
142C2×#235—61no—
143C2×#235—61no—
144C22×Dic6—61no—
145C2×C3×D8—31no—
146C3×C4⋊Q8—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—31no—
150#946—61no—
151#940—31no—
152#940—31no—
153#940—31no—
154#940—31no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157C2×#213—31no—
158C2×#213—31no—
159C2×#213—31no—
160#930—61no—
161#930—61no—
162#924—61no—
163C2×D24—31no—
164C2×D24C2×D311yescharacteristic
165#896—61no—
166#896—61no—
167#893—31no—
168#893—31no—
169#893—31no—
170#893—61no—
171#893C2×D311yescharacteristic
172#893C2×D311yescharacteristic
173#893C2×D311yescharacteristic
174#888—31no—
175#888—31no—
176#888—31no—
177#888—61no—
178#888C2×D311yescharacteristic
179#884—61no—
180#884—61no—
181#884—61no—
182#884—61no—
183#878—61no—
184#878—61no—
185#874—31no—
186#874—31no—
187C4×D12—31no—
188#869—31no—
189C4×Dic6—31no—
190C4×Dic6—31no—
191C3×#107—21no—
192C3×#107—31no—
193C3×#107C2×D311yescharacteristic
194C3×#107C2×D311yescharacteristic
195C3×C4⋊C8—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×#102—31no—
199C3×#102—31no—
200C3×C4×C8—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#821—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—61no—
210#821C2×D311yescharacteristic
211Dic3⋊C8—31no—
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—61no—
215Dic3⋊C8C2×D311yescharacteristic
216C8×Dic3—31no—
217C8×Dic3—31no—
218C8×Dic3—31no—
219C8×Dic3C2×D311yescharacteristic
220#809—31no—
221#809—31no—
222#809—31no—
223#809—31no—
224#809—61no—
225#809C2×D311yescharacteristic
226#809C2×D311yescharacteristic
227#809C2×D311yescharacteristic
228#807—31no—
229#807—31no—
230#807—61no—
231#807C2×D311yescharacteristic
232C4⋊(C3⋊C8)—31no—
233C4×C3⋊C8—31no—
234C22×C3⋊D3—21no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4×C3⋊D3—42no—
247#634—42no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12#4112yescomplemented
259C3×C4×D3—42no—
260C3×C4×D3—42no—
261C3×C4×D3—42no—
262C3×Dic6—42no—
263#627—42no—
264#627D814yescomplemented
265#626—42no—
266#626—42no—
267#626—81no—
268#626—81no—
269#625—42no—
270#625—81no—
271D3×Dic3—42no—
272D3×Dic3—42no—
273C32×C8—21no—
274C3⋊(C3⋊C8)—21no—
275C3×C3⋊C8—21no—
276C3×C3⋊C8—21no—
277#550—91no—
278D4×Q8—91no—
279#486—91no—
280#486—91no—
281#486—91no—
282#474—31no—
283#474—91no—
284#474—91no—
285#459—91no—
286#459—91no—
287#459—91no—
288C8×Q8—91no—
289C4×D8—31no—
290C4×D8—91no—
291C4×D8—91no—
292C2×C3×Q8—61no—
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—31no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309D3×Q8—124no—
310#235—124no—
311#235—124no—
312C2×D12—31no—
313C2×D12—31no—
314C2×D12—61no—
315C2×D12—61no—
316C2×D12—61no—
317C2×D12—61no—
318C2×D12—61no—
319C2×D12C22×D311yescharacteristic
320C2×D12C22×D311yescharacteristic
321C2×D12C22×D311yescharacteristic
322C2×C4×D3—21no—
323C2×C4×D3—21no—
324C2×C4×D3—21no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—61no—
329C2×C4×D3—121no—
330C2×Dic6—21no—
331C2×Dic6—31no—
332C2×Dic6—31no—
333C2×Dic6—61no—
334C2×Dic6—61no—
335C2×Dic6—61no—
336C2×Dic6—61no—
337C2×Dic6—121no—
338C2×Dic6—124no—
339C3×D8—62no—
340C2×C3×C8—21no—
341C2×C3×C8—31no—
342C2×C3×C8—31no—
343C2×C3×C8C22×D311yescharacteristic
344C2×C3×C8C22×D311yescharacteristic
345C3×C4⋊C4—21no—
346C3×C4⋊C4—21no—
347C3×C4⋊C4—31no—
348C3×C4⋊C4—61no—
349C3×C4⋊C4C22×D311yescharacteristic
350C3×C4⋊C4C22×D311yescharacteristic
351C3×C4⋊C4C22×D311yescharacteristic
352C3×C4⋊C4C22×D311yescharacteristic
353C3×C22⋊C4—61no—
354C3×C22⋊C4—61no—
355C3×C22⋊C4—61no—
356C3×C42—31no—
357C3×C42—31no—
358#217—61no—
359#217—61no—
360#213—62no—
361#213—62no—
362#213—62no—
363(C2×D3)⋊C4—21no—
364(C2×D3)⋊C4—21no—
365(C2×D3)⋊C4—21no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—61no—
370(C2×D3)⋊C4—121no—
371C4⋊Dic3—31no—
372C4⋊Dic3—31no—
373C4⋊Dic3—31no—
374C4⋊Dic3—31no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3C22×D311yescharacteristic
378Dic3⋊C4—21no—
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—31no—
382Dic3⋊C4—31no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—121no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—61no—
390C4×Dic3C22×D311yescharacteristic
391C4×Dic3C22×D311yescharacteristic
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397D24—22no—
398D24—62no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3×D3—22no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—41no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C42−1+411yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—41no—
418C3⋊Dic3C2×D812yes—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3C2×D812yes—
423C3×Dic3C2×D812yes—
424C2×#41—181no—
425C22×Q8—181no—
426C2×D8—31no—
427C2×D8—91no—
428C2×D8—91no—
429C4⋊Q8—31no—
430C4⋊Q8—91no—
431C4⋊Q8—91no—
432#127—91no—
433#127—91no—
434#127—91no—
435C22⋊Q8—181no—
436C22⋊Q8—181no—
437C22⋊Q8—181no—
438#121—181no—
439#121—181no—
440#121—181no—
441C4×Q8—91no—
442C4×D4—31no—
443C4×D4—31no—
444C4×D4—31no—
445C4×D4—91no—
446C4×D4—91no—
447C4×D4—91no—
448#107—31no—
449#107—91no—
450#107D3211yescharacteristic
451C4⋊C8—31no—
452C4⋊C8—91no—
453C4⋊C8—91no—
454#102—31no—
455#102—31no—
456#102—31no—
457#102—31no—
458#102—91no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463#102—91no—
464C4×C8—31no—
465C4×C8—91no—
466C4×C8—91no—
467C23×C3—61no—
468C23×C3—61no—
469C23×C3—61no—
470C22×D3—21no—
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—61no—
474C22×D3—61no—
475C22×D3—121no—
476C3×Q8—122no—
477C3×D4—32no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—61no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—31no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—61no—
495C2×C3×C4—122no—
496C2×C3×C4—122no—
497C2×C3×C4—122no—
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—122no—
501#67—122no—
502#67—122no—
503#67—122no—
504#67—241no—
505#67—241no—
506#67—241no—
507#67—241no—
508C2×Dic3—21no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—122no—
519C2×Dic3—122no—
520C2×Dic3D3×D411yescharacteristic
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—21no—
525D12—21no—
526D12—21no—
527D12—21no—
528D12—21no—
529D12—62no—
530D12—61no—
531D12—61no—
532D12—61no—
533D12—61no—
534D12—121no—
535D12—122no—
536D12—122no—
537D12—241no—
538D12—241no—
539D12#23512yescomplemented
540C4×D3—42no—
541C4×D3—42no—
542C4×D3—42no—
543C4×D3—122no—
544C4×D3—122no—
545C4×D3—122no—
546C4×D3—122no—
547C4×D3—242no—
548Dic6—34no—
549Dic6—34no—
550Dic6—42no—
551Dic6—122no—
552Dic6—122no—
553Dic6—122no—
554Dic6—122no—
555Dic6—242no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—41no—
559C3×C8—61no—
560C3×C8—61no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—61no—
564C3⋊C8—61no—
565C3⋊C8—121no—
566C2×C32#54811yescharacteristic
567C2×C32C22×D811yescharacteristic
568C2×C32#57711yescharacteristic
569C3⋊D3—81no—
570C3×D3—42no—
571C3×D3—81no—
572C3×D3—81no—
573#41—364no—
574C2×Q8—61no—
575C2×Q8—91no—
576C2×Q8—181no—
577C2×Q8—181no—
578C2×Q8—364no—
579C2×D4—31no—
580C2×D4—31no—
581C2×D4—31no—
582C2×D4—91no—
583C2×D4—181no—
584C2×D4—181no—
585C2×D4—181no—
586C2×D4—181no—
587C2×D4—181no—
588C2×D4—181no—
589C22×C4—61no—
590C22×C4—61no—
591C22×C4—61no—
592C22×C4—181no—
593C22×C4—181no—
594C22×C4—181no—
595D8—62no—
596D8—182no—
597D8—182no—
598C2×C8—31no—
599C2×C8—31no—
600C2×C8—91no—
601C2×C8C2×D3211yescharacteristic
602C4⋊C4—31no—
603C4⋊C4—61no—
604C4⋊C4—91no—
605C4⋊C4—91no—
606C4⋊C4—91no—
607C4⋊C4—91no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C4⋊C4C2×D3211yescharacteristic
611C4⋊C4C2×D3211yescharacteristic
612C22⋊C4—61no—
613C22⋊C4—61no—
614C22⋊C4—61no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C42—31no—
619C42—31no—
620C42—91no—
621C22×C3—21no—
622C22×C3—62no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3—121no—
631C22×C3C2×D3×D411yescharacteristic
632C22×C3C2×D3×D411yescharacteristic
633C2×D3—22no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—41no—
641C2×D3—41no—
642C2×D3—122no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—121no—
649C2×D3—241no—
650C2×D3—241no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—32no—
654C3×C4—32no—
655C3×C4—41no—
656C3×C4—41no—
657C3×C4—41no—
658C3×C4—41no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4—81no—
662C3×C4—81no—
663C3×C4—121no—
664C3×C4C2×#23511yescharacteristic
665C3×C4#100711yescharacteristic
666C3×C4D3×#4111yescharacteristic
667C3×C4#101011yescharacteristic
668Dic3—21no—
669Dic3—21no—
670Dic3—32no—
671Dic3—32no—
672Dic3—41no—
673Dic3—62no—
674Dic3—61no—
675Dic3—61no—
676Dic3—121no—
677Dic3—121no—
678Dic3—121no—
679Dic3—241no—
680Dic3D3×D812yes—
681Dic3D3×D812yes—
682C32#335811yescharacteristic, complemented, Sylow
683C23—61no—
684C23—61no—
685C23—61no—
686C23—181no—
687Q8—94no—
688Q8—122no—
689Q8—362no—
690Q8—362no—
691D4—32no—
692D4—61no—
693D4—61no—
694D4—61no—
695D4—61no—
696D4—61no—
697D4—181no—
698D4—181no—
699D4—362no—
700D4—362no—
701D4—362no—
702D4—721no—
703D4—721no—
704D4—721no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—31no—
708C2×C4—31no—
709C2×C4—31no—
710C2×C4—31no—
711C2×C4—61no—
712C2×C4—91no—
713C2×C4—91no—
714C2×C4—122no—
715C2×C4—122no—
716C2×C4—122no—
717C2×C4—181no—
718C2×C4—362no—
719C2×C4—362no—
720C2×C4—362no—
721C2×C4C22×D3211yescharacteristic
722C8—21no—
723C8—61no—
724C8—61no—
725C8—181no—
726C2×C3—21no—
727C2×C3—21no—
728C2×C3—21no—
729C2×C3—122no—
730C2×C3—241no—
731C2×C3—241no—
732C2×C3#555211yescharacteristic
733C2×C3#563311yescharacteristic
734C2×C3C2×D3×D811yescharacteristic
735C2×C3C2×D3×D811yescharacteristic
736C2×C3#577011yescharacteristic
737C2×C3#577811yescharacteristic
738D3—42no—
739D3—81no—
740D3—81no—
741D3—242no—
742D3—241no—
743D3—241no—
744C22—62no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22—121no—
749C22—121no—
750C22—121no—
751C22—121no—
752C22—121no—
753C22—361no—
754C22—361no—
755C22—361no—
756C22D32×D411yescharacteristic
757C4—32no—
758C4—32no—
759C4—41no—
760C4—41no—
761C4—61no—
762C4—61no—
763C4—92no—
764C4—121no—
765C4—181no—
766C4—361no—
767C4D3×#23511yescharacteristic
768C4#6431511yescharacteristic
769C3—21no—
770C3#7956711yescharacteristic, complemented
771C3#8099211yescharacteristic, complemented
772C2—122no—
773C2—241no—
774C2—241no—
775C2—721no—
776C2#1059437511yescharacteristic
777C2D32×D811yescharacteristic
778C2#1059477011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
hypercenter#107D32
hypocenterC32#3358
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #107

Complements

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

NH ≅ G/Ntype
1. #10594520C2semidirect
2. #10594376C2semidirect
3. #10592589C2semidirect
4. C3×#4890C2semidirect
5. C3×#4872C2semidirect
6. #10590878C2semidirect
7. #10590753C2semidirect
8. #10590749C2semidirect
9. #10590644C2semidirect
10. #10590555C2semidirect
11. #10590552C2semidirect
12. #10590548C2semidirect
13. #10590547C2semidirect
14. #10590459C2semidirect
15. #10590452C2semidirect
77. #4890D3semidirect
79. #4872D3semidirect
258. C3×D12#41semidirect
264. #627D8semidirect
539. D12#235semidirect
682. C32#3358semidirect
770. C3#79567semidirect
771. C3#80992semidirect

Maximal subgroups

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

subgroupindex
#105945202
#105943762
#105925892
C3×#48902
C3×#48722
#105908782
#105907532
#105907492
#105906442
#105905552
#105905522
#105905482
#105905472
#105904592
#105904522
#809923
#795673