Finite Group Databasebeta

← #11868997

Subgroups — #11868997

Order 1152.

855 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594606C211yesmaximal, characteristic
2#10594325C211yesmaximal, characteristic, complemented
3#10592580C211yesmaximal, characteristic, complemented
4C3×#4891C211yesmaximal, characteristic, complemented
5C3×#4890C211yesmaximal, characteristic, complemented
6#10590941C211yesmaximal, characteristic
7#10590772C211yesmaximal, characteristic, complemented
8#10590757C211yesmaximal, characteristic, complemented
9#10590702C211yesmaximal, characteristic, complemented
10#10590593C211yesmaximal, characteristic
11#10590574C211yesmaximal, characteristic, complemented
12#10590555C211yesmaximal, characteristic, complemented
13#10590545C211yesmaximal, characteristic, complemented
14#10590469C211yesmaximal, characteristic, complemented
15#10590465C211yesmaximal, characteristic, complemented
16#81168—31nomaximal
17#80967—31nomaximal
18C2×#3802C2211yescharacteristic
19C2×#3743C2211yescharacteristic
20#64101C2211yescharacteristic
21C4⋊C4×C3⋊D3C2211yescharacteristic
22C3×#893C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#890C2211yescharacteristic, complemented
25C3×#888C2211yescharacteristic, complemented
26D3×(C2×D3)⋊C4—21no—
27D3×(C2×D3)⋊C4—21no—
28#63918C2211yescharacteristic, complemented
29#63902—21no—
30C4×#625—21no—
31Dic3×D12C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33#63874C2211yescharacteristic
34#63871—21no—
35#63869C2211yescharacteristic, complemented
36#63865—21no—
37#63849C2211yescharacteristic
38#63847—21no—
39#63839—21no—
40C2×#3710C2211yescharacteristic
41C32×#107C2211yescharacteristic, complemented
42#63644C2211yescharacteristic, complemented
43#63635C2211yescharacteristic, complemented
44#63634C2211yescharacteristic, complemented
45C3×#821C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×Dic3⋊C8C2211yescharacteristic, complemented
48C3×Dic3⋊C8C2211yescharacteristic, complemented
49C3×#809C2211yescharacteristic
50C3×#809C2211yescharacteristic
51C3×#808C2211yescharacteristic, complemented
52C3×#807C2211yescharacteristic, complemented
53#63575C2211yescharacteristic, complemented
54#63573C2211yescharacteristic, complemented
55Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
56Dic3⋊(C3⋊C8)C2211yescharacteristic, complemented
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5729—31no—
62#5689—31no—
63#5545—31no—
64#5545—31no—
65C3×#478—31no—
66C3×#474—31no—
67#5084—31no—
68#5066—31no—
69#5009—31no—
70#5007—31no—
71#4891D311yescharacteristic, complemented
72#4890—31no—
73#4890D311yescharacteristic, complemented
74#4881—31no—
75#4881—31no—
76#4881—61no—
77#4880—31no—
78#4871—31no—
79#4860—31no—
80#4847—31no—
81#4842—31no—
82#4839—31no—
83#4839—31no—
84#4770—31no—
85#4770—31no—
86D3×#102—31no—
87D3×#102—31no—
88#4766—31no—
89#4763—31no—
90#4761—31no—
91#4761—31no—
92C22×D32—21no—
93C2×C4×C3⋊D3—21no—
94C2×C4×C3⋊D3C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×Dic6—21no—
100C2×#627—21no—
101C2×#625—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104#3802—22no—
105#3802Q814yescomplemented
106C2×C32×C8C2311yescharacteristic
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3752—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C4×C3⋊Dic3—21no—
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115#3743—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3C2311yescharacteristic
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127#3724—21no—
128#3724D411yescharacteristic
129#3724D411yescharacteristic
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132#3722—21no—
133#3722D411yescharacteristic
134#3722D411yescharacteristic
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3710—22no—
139#3081—91noSylow
140C2×D3×D4—31no—
141C2×D3×D4—31no—
142C3×C4⋊Q8—31no—
143C3×#125—31no—
144C3×C4×D4—31no—
145C3×C4×D4—31no—
146#946—61no—
147#944—61no—
148D4×Dic3—31no—
149D4×Dic3—31no—
150C4×#67—61no—
151C4×#67—61no—
152C2×(C2×D3)⋊C4—61no—
153C2×(C2×D3)⋊C4—61no—
154C2×ΓL(1,𝔽25)—31no—
155C2×ΓL(1,𝔽25)—31no—
156C2×ΓL(1,𝔽25)—61no—
157C2×D3×C8—31no—
158C2×D3×C8—31no—
159#897—61no—
160#896—61no—
161#896—61no—
162#893C2×D311yescharacteristic
163#893C2×D311yescharacteristic
164#892—31no—
165#892—31no—
166#892—31no—
167#892—31no—
168#892—61no—
169D3×C4⋊C4—31no—
170D3×C4⋊C4—31no—
171D3×C4⋊C4—61no—
172#890—31no—
173#890C2×D311yescharacteristic, complemented
174#889—61no—
175#889—61no—
176#888—31no—
177#888—61no—
178#888C2×D311yescharacteristic, complemented
179#67⋊C4—61no—
180#67⋊C4—61no—
181D3×C22⋊C4—61no—
182D3×C22⋊C4—61no—
183C4×D12—31no—
184C4×D12—31no—
185#872—31no—
186#872—31no—
187#870—31no—
188#869—31no—
189C3×#107—21no—
190C3×#107—31no—
191C3×#107C2×D311yescharacteristic, complemented
192C3×#107C2×D311yescharacteristic, complemented
193C3×#106—31no—
194C3×C4⋊C8—31no—
195C3×C4⋊C8—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×#102—31no—
199C3×#102—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#821—31no—
205#821—31no—
206#821C2×D311yescharacteristic
207#821C2×D311yescharacteristic
208#818—31no—
209#817—31no—
210#817—31no—
211#817—31no—
212#817—61no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8C2×D311yescharacteristic, complemented
216Dic3⋊C8C2×D311yescharacteristic, complemented
217#809—31no—
218#809—31no—
219#809C2×D311yescharacteristic
220#809C2×D311yescharacteristic
221#808—31no—
222#808—31no—
223#808—31no—
224#808—61no—
225#808C2×D311yescharacteristic, complemented
226#807—31no—
227#807—31no—
228#807—31no—
229#807—61no—
230#807C2×D311yescharacteristic, complemented
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233C22×C3⋊D3C2×D411yescharacteristic
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C2×D32—24no—
237C2×D32—81no—
238C2×D32—81no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4×C3⋊D3—81no—
246C4×C3⋊D3C2×Q812yes—
247C4×C3⋊D3#4112yes—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12C2×Q812yes—
257C3×D12C2×Q812yes—
258C3×C4×D3—81no—
259C3×C4×D3—81no—
260C3×Dic6—81no—
261#627—81no—
262#625—24no—
263D3×Dic3—81no—
264D3×Dic3—81no—
265C32×C8—21no—
266C3⋊(C3⋊C8)—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#544—91no—
270#518—91no—
271#478—31no—
272#478—91no—
273#478—91no—
274#478—91no—
275#476—91no—
276#476—91no—
277#474—31no—
278#474—91no—
279#428—91no—
280#427—91no—
281#424—91no—
282#418—91no—
283C2×#102—91no—
284C23×D3—61no—
285C23×D3—61no—
286C2×C3×Q8—61no—
287C2×C3×D4—31no—
288C2×C3×D4—31no—
289C22×C3×C4—61no—
290C22×C3×C4—61no—
291C2×#67—61no—
292C2×#67—61no—
293C22×Dic3—61no—
294C22×Dic3—61no—
295D3×D4—34no—
296D3×D4—34no—
297D3×D4—62no—
298D3×D4—62no—
299C2×D12C22×D311yescharacteristic
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—21no—
302C2×C4×D3—21no—
303C2×C4×D3—31no—
304C2×C4×D3—31no—
305C2×C4×D3—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—121no—
311C2×Dic6—21no—
312C2×Dic6—61no—
313C2×Dic6—61no—
314C2×C3×C8—21no—
315C2×C3×C8—31no—
316C2×C3×C8—31no—
317C2×C3×C8C22×D311yescharacteristic
318C2×C3×C8C22×D311yescharacteristic
319C3×C4⋊C4—21no—
320C3×C4⋊C4—21no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—31no—
333C3×C42—31no—
334#217—61no—
335#217—61no—
336(C2×D3)⋊C4—21no—
337(C2×D3)⋊C4—21no—
338(C2×D3)⋊C4—31no—
339(C2×D3)⋊C4—31no—
340(C2×D3)⋊C4—31no—
341(C2×D3)⋊C4—31no—
342(C2×D3)⋊C4—61no—
343(C2×D3)⋊C4—61no—
344(C2×D3)⋊C4—61no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—121no—
349C4⋊Dic3—21no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3C22×D311yescharacteristic
359C4⋊Dic3C22×D311yescharacteristic
360Dic3⋊C4—21no—
361Dic3⋊C4—21no—
362Dic3⋊C4—31no—
363Dic3⋊C4—31no—
364Dic3⋊C4—31no—
365Dic3⋊C4—31no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—121no—
373C4×Dic3—61no—
374C4×Dic3—61no—
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—121no—
378C4×Dic3C22×D311yescharacteristic
379C4×Dic3C22×D311yescharacteristic
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—61no—
383C2×C3⋊C8C22×D311yescharacteristic
384C2×C3⋊C8C22×D311yescharacteristic
385ΓL(1,𝔽25)—62no—
386ΓL(1,𝔽25)—62no—
387ΓL(1,𝔽25)—64no—
388D3×C8—62no—
389D3×C8—62no—
390C22×C32C22×D411yescharacteristic
391C2×C3⋊D3—21no—
392C2×C3⋊D3—21no—
393C2×C3⋊D3C22⋊Q812yes—
394C2×C3×D3—22no—
395C2×C3×D3—22no—
396C2×C3×D3—41no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400D32—84no—
401C32×C4—41no—
402C32×C4—41no—
403C32×C4C22×Q811yescharacteristic
404C32×C4C2×#4111yescharacteristic
405C3⋊Dic3—41no—
406C3⋊Dic3—41no—
407C3⋊Dic3C22⋊Q812yes—
408C3×Dic3—21no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C22×D4—91no—
415C2×M16—91no—
416C22×C8—91no—
417C4⋊Q8—31no—
418C4⋊Q8—91no—
419C4⋊Q8—181no—
420#125—31no—
421#125—91no—
422#125—181no—
423C22⋊Q8—181no—
424C22⋊Q8—181no—
425C4×D4—31no—
426C4×D4—31no—
427C4×D4—91no—
428C4×D4—91no—
429C4×D4—181no—
430C4×D4—181no—
431#117—91no—
432#117—91no—
433#117—91no—
434C2×C4⋊C4—91no—
435C2×C22⋊C4—181no—
436C2×C22⋊C4—181no—
437#107—31no—
438#107—91no—
439#107—91no—
440#107D3211yescharacteristic, complemented
441#106—31no—
442#106—91no—
443#106—91no—
444#106—91no—
445C4⋊C8—31no—
446C4⋊C8—31no—
447C4⋊C8—91no—
448C4⋊C8—91no—
449#102—31no—
450#102—31no—
451#102—31no—
452#102—31no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457C23×C3—61no—
458C23×C3—61no—
459C22×D3—21no—
460C22×D3—21no—
461C22×D3—31no—
462C22×D3—31no—
463C22×D3—61no—
464C22×D3—64no—
465C22×D3—64no—
466C22×D3—241no—
467C22×D3—241no—
468C22×D3—241no—
469C22×D3—241no—
470C3×Q8—241no—
471C3×D4—32no—
472C3×D4—32no—
473C3×D4—61no—
474C3×D4—61no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—41no—
485C2×C3×C4—41no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—241no—
489C2×C3×C4—241no—
490C2×C3×C4C23×D311yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492#67—64no—
493#67—64no—
494C2×Dic3—21no—
495C2×Dic3—21no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—61no—
499C2×Dic3—61no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—121no—
504C2×Dic3—121no—
505C2×Dic3—241no—
506C2×Dic3—241no—
507C2×Dic3D3×D411yescharacteristic
508C2×Dic3D3×D411yescharacteristic
509C2×Dic3D3×D411yescharacteristic
510C2×Dic3D3×D411yescharacteristic
511D12—21no—
512D12—21no—
513D12D3×Q812yes—
514D12D3×Q812yes—
515C4×D3—32no—
516C4×D3—32no—
517C4×D3—32no—
518C4×D3—32no—
519C4×D3—62no—
520C4×D3—62no—
521C4×D3—81no—
522C4×D3—81no—
523C4×D3—241no—
524C4×D3—241no—
525C4×D3—241no—
526C4×D3—241no—
527C4×D3—242no—
528Dic6—81no—
529Dic6—241no—
530Dic6—241no—
531C3×C8—22no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—61no—
535C3×C8—61no—
536C3⋊C8—21no—
537C3⋊C8—21no—
538C3⋊C8—62no—
539C3⋊C8—61no—
540C3⋊C8—61no—
541C2×C32C2×C22⋊Q811yescharacteristic
542C2×C32#57611yescharacteristic
543C2×C32#57711yescharacteristic
544C3⋊D3—22no—
545C3×D3—42no—
546C3×D3—42no—
547C24—181no—
548C2×Q8—61no—
549C2×Q8—181no—
550C2×D4—31no—
551C2×D4—31no—
552C2×D4—94no—
553C2×D4—182no—
554C2×D4—181no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—91no—
558C22×C4—181no—
559C22×C4—181no—
560C22×C4—181no—
561M16—182no—
562C2×C8—31no—
563C2×C8—31no—
564C2×C8—91no—
565C2×C8—182no—
566C2×C8C2×D3211yescharacteristic
567C4⋊C4—31no—
568C4⋊C4—31no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—91no—
573C4⋊C4—91no—
574C4⋊C4—91no—
575C4⋊C4—91no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4—181no—
579C4⋊C4—181no—
580C4⋊C4C2×D3211yescharacteristic
581C4⋊C4C2×D3211yescharacteristic
582C22⋊C4—61no—
583C22⋊C4—61no—
584C22⋊C4—91no—
585C22⋊C4—91no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C42—31no—
591C42—31no—
592C42—181no—
593C42—181no—
594C22×C3—21no—
595C22×C3—62no—
596C22×C3—62no—
597C22×C3—121no—
598C22×C3—121no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3C2×D3×D411yescharacteristic
602C22×C3C2×D3×D411yescharacteristic
603C2×D3—22no—
604C2×D3—22no—
605C2×D3—32no—
606C2×D3—32no—
607C2×D3—41no—
608C2×D3—41no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—62no—
612C2×D3—61no—
613C2×D3—61no—
614C2×D3—61no—
615C2×D3—61no—
616C2×D3—121no—
617C2×D3—121no—
618C2×D3—244no—
619C2×D3—244no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—61no—
627C3×C4—61no—
628C3×C4—61no—
629C3×C4—61no—
630C3×C4—81no—
631C3×C4—81no—
632C3×C4—121no—
633C3×C4—121no—
634C3×C4C2×D3×Q811yescharacteristic
635C3×C4C2×D3×Q811yescharacteristic
636C3×C4D3×#4111yescharacteristic
637C3×C4D3×#4111yescharacteristic
638Dic3—21no—
639Dic3—21no—
640Dic3—21no—
641Dic3—21no—
642Dic3—32no—
643Dic3—32no—
644Dic3—41no—
645Dic3—41no—
646Dic3—62no—
647Dic3—121no—
648Dic3—121no—
649Dic3—121no—
650Dic3—121no—
651Dic3—241no—
652Dic3—241no—
653C32#308111yescharacteristic, complemented, Sylow
654C23—61no—
655C23—61no—
656C23—91no—
657C23—184no—
658C23—721no—
659C23—721no—
660Q8—241no—
661Q8—721no—
662D4—32no—
663D4—32no—
664D4—61no—
665D4—61no—
666D4—184no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—31no—
670C2×C4—31no—
671C2×C4—31no—
672C2×C4—31no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—91no—
676C2×C4—92no—
677C2×C4—92no—
678C2×C4—181no—
679C2×C4—181no—
680C2×C4—241no—
681C2×C4—241no—
682C2×C4—721no—
683C2×C4—721no—
684C2×C4—721no—
685C2×C4C22×D3211yescharacteristic
686C8—21no—
687C8—61no—
688C8—61no—
689C8—181no—
690C2×C3—21no—
691C2×C3—21no—
692C2×C3—21no—
693C2×C3—122no—
694C2×C3—122no—
695C2×C3D3×C22⋊Q811yescharacteristic
696C2×C3D3×C22⋊Q811yescharacteristic
697C2×C3#575711yescharacteristic
698C2×C3#577011yescharacteristic
699C2×C3#577411yescharacteristic
700C2×C3#577811yescharacteristic
701D3—42no—
702D3—42no—
703D3—62no—
704D3—62no—
705D3—122no—
706C22—62no—
707C22—62no—
708C22—92no—
709C22—121no—
710C22—121no—
711C22—121no—
712C22—121no—
713C22—181no—
714C22—181no—
715C22—724no—
716C22D32×D411yescharacteristic
717C4—41no—
718C4—41no—
719C4—61no—
720C4—61no—
721C4—61no—
722C4—61no—
723C4—92no—
724C4—121no—
725C4—121no—
726C4—361no—
727C4—361no—
728C4#6430611yescharacteristic
729C4D32×Q811yescharacteristic
730C3—21no—
731C3#8096711yescharacteristic, complemented
732C3#8116811yescharacteristic, complemented
733C2—122no—
734C2—122no—
735C2—182no—
736C2#1059462411yescharacteristic
737C2#1059473211yescharacteristic
738C2#1059477011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
prime radicalC2×#3802C22
hypercenter#107D32
hypocenterC32#3081
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
2. #10594325C2semidirect
3. #10592580C2semidirect
4. C3×#4891C2semidirect
5. C3×#4890C2semidirect
7. #10590772C2semidirect
8. #10590757C2semidirect
9. #10590702C2semidirect
11. #10590574C2semidirect
12. #10590555C2semidirect
13. #10590545C2semidirect
14. #10590469C2semidirect
15. #10590465C2semidirect
24. C3×#890C22semidirect
25. C3×#888C22semidirect
28. #63918C22semidirect
35. #63869C22semidirect
41. C32×#107C22semidirect
42. #63644C22semidirect
43. #63635C22semidirect
44. #63634C22semidirect
47. C3×Dic3⋊C8C22semidirect
48. C3×Dic3⋊C8C22semidirect
51. C3×#808C22semidirect
52. C3×#807C22semidirect
53. #63575C22semidirect
54. #63573C22semidirect
55. Dic3⋊(C3⋊C8)C22semidirect
56. Dic3⋊(C3⋊C8)C22semidirect
71. #4891D3semidirect
73. #4890D3semidirect
105. #3802Q8semidirect
173. #890C2×D3semidirect
178. #888C2×D3semidirect
191. C3×#107C2×D3semidirect
192. C3×#107C2×D3semidirect
215. Dic3⋊C8C2×D3semidirect
216. Dic3⋊C8C2×D3semidirect
225. #808C2×D3semidirect
230. #807C2×D3semidirect
440. #107D32semidirect
653. C32#3081semidirect
731. C3#80967semidirect
732. C3#81168semidirect

Maximal subgroups

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

subgroupindex
#105946062
#105943252
#105925802
C3×#48912
C3×#48902
#105909412
#105907722
#105907572
#105907022
#105905932
#105905742
#105905552
#105905452
#105904692
#105904652
#811683
#809673