Finite Group Databasebeta

← #11868955

Subgroups — #11868955

Order 1152.

853 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593996C211yesmaximal, characteristic
2#10593855C211yesmaximal, characteristic, complemented
3#10592538C211yesmaximal, characteristic, complemented
4C3×#4847C211yesmaximal, characteristic, complemented
5C3×#4842C211yesmaximal, characteristic, complemented
6#10590941C211yesmaximal, characteristic
7#10590940C211yesmaximal, characteristic
8#10590782C211yesmaximal, characteristic, complemented
9#10590782C211yesmaximal, characteristic, complemented
10#10590778C211yesmaximal, characteristic, complemented
11#10590776C211yesmaximal, characteristic, complemented
12#10590712C211yesmaximal, characteristic, complemented
13#10590688C211yesmaximal, characteristic, complemented
14#10590270C211yesmaximal, characteristic, complemented
15#10590269C211yesmaximal, characteristic, complemented
16#81168—31nomaximal
17#81062—31nomaximal
18C2×#3802C2211yescharacteristic
19C2×#3743C2211yescharacteristic
20C2×C8×C3⋊D3C2211yescharacteristic
21#64081C2211yescharacteristic
22C3×C4×D12C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×#870C2211yescharacteristic, complemented
25C3×#869C2211yescharacteristic, complemented
26D3×(C2×D3)⋊C4—21no—
27D3×(C2×D3)⋊C4—21no—
28#63919C2211yescharacteristic, complemented
29#63900C2211yescharacteristic
30#63898C2211yescharacteristic
31#63898C2211yescharacteristic
32#63895—21no—
33#63888—21no—
34#63879—21no—
35#63879—21no—
36#63872C2211yescharacteristic, complemented
37#63849C2211yescharacteristic
38#63849C2211yescharacteristic
39#63847—21no—
40#63839—21no—
41C32×C4⋊C8C2211yescharacteristic, complemented
42#63641C2211yescharacteristic, complemented
43#63641C2211yescharacteristic, complemented
44C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic, complemented
45C3×#821C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#818C2211yescharacteristic, complemented
50C3×#817C2211yescharacteristic, complemented
51C3×#817C2211yescharacteristic, complemented
52C3×#817C2211yescharacteristic, complemented
53#63576C2211yescharacteristic, complemented
54#63576C2211yescharacteristic, complemented
55#63576C2211yescharacteristic, complemented
56#63574C2211yescharacteristic, complemented
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5729—31no—
62#5689—31no—
63#5545—31no—
64#5545—31no—
65C3×#478—31no—
66C3×#476—31no—
67#5087—31no—
68#5066—31no—
69#5009—31no—
70#5007—31no—
71#4890—31no—
72#4881—31no—
73#4871—31no—
74#4871—31no—
75#4870—31no—
76#4861—31no—
77#4860—31no—
78#4860—31no—
79#4847D311yescharacteristic, complemented
80#4842D311yescharacteristic, complemented
81#4839—31no—
82#4839—31no—
83#4839—61no—
84#4770—31no—
85#4770—31no—
86D3×#102—31no—
87D3×#102—31no—
88#4763—31no—
89#4763—31no—
90#4761—31no—
91#4759—31no—
92C22×D32—21no—
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×C4×D3—21no—
98C2×C3×Dic6—21no—
99C2×#627—21no—
100C2×#625—21no—
101C2×#624—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104#3802—22no—
105#3802Q814yescomplemented
106C2×C32×C8C2311yescharacteristic
107C2×C32×C8C2311yescharacteristic
108C32×C42C2311yescharacteristic
109#3752D411yescharacteristic
110#3752D411yescharacteristic
111#3750D411yescharacteristic
112#3750D411yescharacteristic
113C4×C3⋊Dic3C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116#3743—22no—
117C8×C3⋊D3—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4⋊Dic3C2311yescharacteristic
127C3×Dic3⋊C4—21no—
128C3×Dic3⋊C4—21no—
129#3724—21no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
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—
159C2×D3×C8—61no—
160#897—61no—
161#896—61no—
162#896—61no—
163#893—31no—
164#893—31no—
165#892—31no—
166#892—31no—
167#892—31no—
168#892—31no—
169D3×C4⋊C4—31no—
170D3×C4⋊C4—31no—
171#890—31no—
172#890—31no—
173#889—61no—
174#889—61no—
175#888—31no—
176#888—31no—
177#888—61no—
178#67⋊C4—61no—
179#67⋊C4—61no—
180D3×C22⋊C4—61no—
181D3×C22⋊C4—61no—
182C4×D12C2×D311yescharacteristic
183C4×D12C2×D311yescharacteristic
184#872—31no—
185#872—31no—
186#872—61no—
187#870C2×D311yescharacteristic, complemented
188#869C2×D311yescharacteristic, complemented
189C3×#107—31no—
190C3×#106—31no—
191C3×#106—31no—
192C3×#106—31no—
193C3×C4⋊C8—21no—
194C3×C4⋊C8C2×D311yescharacteristic, complemented
195C3×C4⋊C8C2×D311yescharacteristic, complemented
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#821C2×D311yescharacteristic
205#821C2×D311yescharacteristic
206#821C2×D311yescharacteristic
207#821C2×D311yescharacteristic
208#818C2×D311yescharacteristic, complemented
209#817C2×D311yescharacteristic, complemented
210#817C2×D311yescharacteristic, complemented
211#817C2×D311yescharacteristic, complemented
212Dic3⋊C8—31no—
213Dic3⋊C8—31no—
214Dic3⋊C8—31no—
215Dic3⋊C8—31no—
216Dic3⋊C8—61no—
217Dic3⋊C8—61no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—31no—
222#808—31no—
223#808—31no—
224#807—31no—
225#807—31no—
226#807—31no—
227#807—31no—
228#807—31no—
229#807—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—61no—
233C22×C3⋊D3C2×D411yescharacteristic
234C22×C3×D3—21no—
235C22×C3×D3—21no—
236C2×D32—24no—
237C2×D32—81no—
238C2×D32—81no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3C2×D411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4×C3⋊D3C2×Q812yes—
246C4×C3⋊D3#4112yes—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12C2×Q812yes—
256C3×D12C2×Q812yes—
257C3×C4×D3—81no—
258C3×C4×D3—81no—
259C3×Dic6—81no—
260#627—81no—
261#625—24no—
262#624—81no—
263D3×Dic3—81no—
264D3×Dic3—81no—
265C32×C8—21no—
266C32×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—31no—
276#476—91no—
277#474—91no—
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×Dic6—21no—
311C2×Dic6—61no—
312C2×Dic6—61no—
313C2×C3×C8—21no—
314C2×C3×C8—21no—
315C2×C3×C8C22×D311yescharacteristic
316C2×C3×C8C22×D311yescharacteristic
317C2×C3×C8C22×D311yescharacteristic
318C2×C3×C8C22×D311yescharacteristic
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42C22×D311yescharacteristic
332C3×C42C22×D311yescharacteristic
333#217—61no—
334#217—61no—
335(C2×D3)⋊C4—21no—
336(C2×D3)⋊C4—21no—
337(C2×D3)⋊C4—31no—
338(C2×D3)⋊C4—31no—
339(C2×D3)⋊C4—31no—
340(C2×D3)⋊C4—31no—
341(C2×D3)⋊C4—61no—
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—61no—
349C4⋊Dic3—21no—
350C4⋊Dic3—61no—
351C4⋊Dic3—61no—
352C4⋊Dic3C22×D311yescharacteristic
353C4⋊Dic3C22×D311yescharacteristic
354C4⋊Dic3C22×D311yescharacteristic
355C4⋊Dic3C22×D311yescharacteristic
356C4⋊Dic3C22×D311yescharacteristic
357C4⋊Dic3C22×D311yescharacteristic
358Dic3⋊C4—21no—
359Dic3⋊C4—21no—
360Dic3⋊C4—31no—
361Dic3⋊C4—31no—
362Dic3⋊C4—31no—
363Dic3⋊C4—31no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—61no—
375C4×Dic3—61no—
376C4×Dic3—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C2×C3⋊C8—31no—
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—61no—
384C2×C3⋊C8—61no—
385ΓL(1,𝔽25)—62no—
386ΓL(1,𝔽25)—62no—
387ΓL(1,𝔽25)—122no—
388D3×C8—62no—
389D3×C8—62no—
390D3×C8—122no—
391C22×C32C22×D411yescharacteristic
392C2×C3⋊D3—21no—
393C2×C3⋊D3—21no—
394C2×C3⋊D3C22⋊Q812yes—
395C2×C3×D3—22no—
396C2×C3×D3—22no—
397C2×C3×D3—41no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401D32—84no—
402C32×C4—21no—
403C32×C4—21no—
404C32×C4C22×Q811yescharacteristic
405C32×C4C2×#4111yescharacteristic
406C3⋊Dic3—21no—
407C3⋊Dic3—21no—
408C3⋊Dic3C22⋊Q812yes—
409C3×Dic3—41no—
410C3×Dic3—41no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C3×Dic3—41no—
415C22×D4—91no—
416C2×M16—91no—
417C22×C8—91no—
418C4⋊Q8—31no—
419C4⋊Q8—91no—
420C4⋊Q8—181no—
421#125—31no—
422#125—91no—
423#125—181no—
424C22⋊Q8—181no—
425C22⋊Q8—181no—
426C4×D4—31no—
427C4×D4—31no—
428C4×D4—91no—
429C4×D4—91no—
430C4×D4—181no—
431C4×D4—181no—
432#117—91no—
433#117—91no—
434#117—91no—
435C2×C4⋊C4—91no—
436C2×C22⋊C4—181no—
437C2×C22⋊C4—181no—
438#107—31no—
439#107—91no—
440#107—91no—
441#107—91no—
442#106—31no—
443#106—31no—
444#106—31no—
445#106—91no—
446C4⋊C8—91no—
447C4⋊C8—91no—
448C4⋊C8—91no—
449C4⋊C8D3211yescharacteristic, complemented
450#102—31no—
451#102—31no—
452#102—31no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458C23×C3—61no—
459C23×C3—61no—
460C22×D3—21no—
461C22×D3—21no—
462C22×D3—31no—
463C22×D3—31no—
464C22×D3—61no—
465C22×D3—64no—
466C22×D3—64no—
467C22×D3—241no—
468C22×D3—241no—
469C22×D3—241no—
470C22×D3—241no—
471C3×Q8—241no—
472C3×D4—32no—
473C3×D4—32no—
474C3×D4—61no—
475C3×D4—61no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—61no—
480C2×C3×C4—61no—
481C2×C3×C4—61no—
482C2×C3×C4—61no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—241no—
486C2×C3×C4—241no—
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493#67—64no—
494#67—64no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—241no—
511C2×Dic3—241no—
512D12—21no—
513D12—21no—
514D12D3×Q812yes—
515D12D3×Q812yes—
516C4×D3—32no—
517C4×D3—32no—
518C4×D3—32no—
519C4×D3—32no—
520C4×D3—62no—
521C4×D3—62no—
522C4×D3—81no—
523C4×D3—81no—
524C4×D3—241no—
525C4×D3—241no—
526C4×D3—241no—
527C4×D3—241no—
528Dic6—81no—
529Dic6—241no—
530Dic6—241no—
531C3×C8—21no—
532C3×C8—21no—
533C3×C8—21no—
534C3×C8—21no—
535C3×C8—41no—
536C3×C8—41no—
537C3⋊C8—61no—
538C3⋊C8—61no—
539C3⋊C8—61no—
540C3⋊C8—61no—
541C3⋊C8—121no—
542C3⋊C8—121no—
543C2×C32C2×C22⋊Q811yescharacteristic
544C2×C32#57611yescharacteristic
545C2×C32#57711yescharacteristic
546C3⋊D3—22no—
547C3×D3—42no—
548C3×D3—42no—
549C24—181no—
550C2×Q8—61no—
551C2×Q8—181no—
552C2×D4—31no—
553C2×D4—31no—
554C2×D4—94no—
555C2×D4—182no—
556C2×D4—181no—
557C22×C4—61no—
558C22×C4—61no—
559C22×C4—91no—
560C22×C4—181no—
561C22×C4—181no—
562C22×C4—181no—
563M16—182no—
564C2×C8—91no—
565C2×C8—91no—
566C2×C8—182no—
567C2×C8C2×D3211yescharacteristic
568C2×C8C2×D3211yescharacteristic
569C4⋊C4—31no—
570C4⋊C4—31no—
571C4⋊C4—31no—
572C4⋊C4—31no—
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—61no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—91no—
579C4⋊C4—91no—
580C4⋊C4—181no—
581C4⋊C4—181no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C22⋊C4—61no—
585C22⋊C4—61no—
586C22⋊C4—91no—
587C22⋊C4—91no—
588C22⋊C4—181no—
589C22⋊C4—181no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C42—91no—
593C42—181no—
594C42—181no—
595C42C2×D3211yescharacteristic
596C22×C3—21no—
597C22×C3—62no—
598C22×C3—62no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3C2×D3×D411yescharacteristic
604C22×C3C2×D3×D411yescharacteristic
605C2×D3—22no—
606C2×D3—22no—
607C2×D3—32no—
608C2×D3—32no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—62no—
614C2×D3—61no—
615C2×D3—61no—
616C2×D3—61no—
617C2×D3—61no—
618C2×D3—121no—
619C2×D3—121no—
620C2×D3—244no—
621C2×D3—244no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—21no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4—121no—
633C3×C4—121no—
634C3×C4—121no—
635C3×C4—121no—
636C3×C4C2×D3×Q811yescharacteristic
637C3×C4C2×D3×Q811yescharacteristic
638C3×C4D3×#4111yescharacteristic
639C3×C4D3×#4111yescharacteristic
640Dic3—32no—
641Dic3—32no—
642Dic3—41no—
643Dic3—41no—
644Dic3—41no—
645Dic3—41no—
646Dic3—41no—
647Dic3—41no—
648Dic3—62no—
649Dic3—61no—
650Dic3—61no—
651Dic3—61no—
652Dic3—61no—
653Dic3—121no—
654Dic3—121no—
655C32#308111yescharacteristic, complemented, Sylow
656C23—61no—
657C23—61no—
658C23—91no—
659C23—184no—
660C23—721no—
661C23—721no—
662Q8—241no—
663Q8—721no—
664D4—32no—
665D4—32no—
666D4—61no—
667D4—61no—
668D4—184no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—91no—
676C2×C4—92no—
677C2×C4—92no—
678C2×C4—91no—
679C2×C4—91no—
680C2×C4—241no—
681C2×C4—241no—
682C2×C4—721no—
683C2×C4—721no—
684C2×C4—721no—
685C2×C4#380211yescharacteristic
686C2×C4#380211yescharacteristic
687C2×C4C22×D3211yescharacteristic
688C8—21no—
689C8—21no—
690C8—181no—
691C8—181no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—122no—
696C2×C3—122no—
697C2×C3D3×C22⋊Q811yescharacteristic
698C2×C3D3×C22⋊Q811yescharacteristic
699C2×C3#576211yescharacteristic
700C2×C3#577011yescharacteristic
701C2×C3#577411yescharacteristic
702C2×C3#577411yescharacteristic
703D3—42no—
704D3—42no—
705D3—62no—
706D3—62no—
707D3—122no—
708C22—62no—
709C22—62no—
710C22—92no—
711C22—121no—
712C22—121no—
713C22—121no—
714C22—121no—
715C22—181no—
716C22—181no—
717C22—724no—
718C22C2×#380211yescharacteristic
719C4—21no—
720C4—21no—
721C4—92no—
722C4—121no—
723C4—121no—
724C4—121no—
725C4—121no—
726C4—121no—
727C4—121no—
728C4—181no—
729C4—181no—
730C4#6431211yescharacteristic
731C4D32×Q811yescharacteristic
732C3—21no—
733C3#8106211yescharacteristic, complemented
734C3#8116811yescharacteristic, complemented
735C2—122no—
736C2—122no—
737C2—182no—
738C2#1059463111yescharacteristic
739C2#1059468611yescharacteristic
740C2#1059472011yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radicalC2×#3802C22
hypercenterC4⋊C8D32
hypocenterC32#3081
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
2. #10593855C2semidirect
3. #10592538C2semidirect
4. C3×#4847C2semidirect
5. C3×#4842C2semidirect
8. #10590782C2semidirect
9. #10590782C2semidirect
10. #10590778C2semidirect
11. #10590776C2semidirect
12. #10590712C2semidirect
13. #10590688C2semidirect
14. #10590270C2semidirect
15. #10590269C2semidirect
24. C3×#870C22semidirect
25. C3×#869C22semidirect
28. #63919C22semidirect
36. #63872C22semidirect
41. C32×C4⋊C8C22semidirect
42. #63641C22semidirect
43. #63641C22semidirect
44. C4⋊(C3⋊(C3⋊C8))C22semidirect
49. C3×#818C22semidirect
50. C3×#817C22semidirect
51. C3×#817C22semidirect
52. C3×#817C22semidirect
53. #63576C22semidirect
54. #63576C22semidirect
55. #63576C22semidirect
56. #63574C22semidirect
79. #4847D3semidirect
80. #4842D3semidirect
105. #3802Q8semidirect
187. #870C2×D3semidirect
188. #869C2×D3semidirect
194. C3×C4⋊C8C2×D3semidirect
195. C3×C4⋊C8C2×D3semidirect
208. #818C2×D3semidirect
209. #817C2×D3semidirect
210. #817C2×D3semidirect
211. #817C2×D3semidirect
449. C4⋊C8D32semidirect
655. C32#3081semidirect
733. C3#81062semidirect
734. C3#81168semidirect

Maximal subgroups

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

subgroupindex
#105939962
#105938552
#105925382
C3×#48472
C3×#48422
#105909412
#105909402
#105907822
#105907782
#105907762
#105907122
#105906882
#105902702
#105902692
#811683
#810623