Finite Group Databasebeta

← #11887818

Subgroups — #11887818

Order 1152.

828 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595402C211yesmaximal, characteristic
2#10594550C211yesmaximal, characteristic, complemented
3#10592497C211yesmaximal, characteristic, complemented
4C3×#4815C211yesmaximal, characteristic, complemented
5C3×D3×#103C211yesmaximal, characteristic, complemented
6#10591596C211yesmaximal, characteristic, complemented
7#10591595C211yesmaximal, characteristic, complemented
8#10591539C211yesmaximal, characteristic, complemented
9#10590970C211yesmaximal, characteristic, complemented
10#10590830C211yesmaximal, characteristic, complemented
11#10590820C211yesmaximal, characteristic, complemented
12#10590717C211yesmaximal, characteristic, complemented
13#10590610C211yesmaximal, characteristic, complemented
14#10590482C211yesmaximal, characteristic, complemented
15#10590422C211yesmaximal, characteristic, complemented
16#81524—31nomaximal
17#78807—31nomaximal
18C2×C3×D3×Q8C2211yescharacteristic
19C2×#3799C2211yescharacteristic
20#64156C2211yescharacteristic
21C2×#3756C2211yescharacteristic
22C2×#3744C2211yescharacteristic
23#64096C2211yescharacteristic
24C3×#946C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×D3×C4⋊C4C2211yescharacteristic
28#63909C2211yescharacteristic
29#63907—21no—
30#63906—21no—
31#63905—21no—
32#63904—21no—
33C4×#625C2211yescharacteristic
34#63888—21no—
35#63872C2211yescharacteristic
36#63867—21no—
37#63862—21no—
38#63857C2211yescharacteristic
39#63857C2211yescharacteristic
40#63855—21no—
41#63843C2211yescharacteristic
42C2×#3719C2211yescharacteristic
43C2×D3×C3⋊C8C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63641C2211yescharacteristic
46#63636C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#817C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#807C2211yescharacteristic
54#63576C2211yescharacteristic
55#63567C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63553C2211yescharacteristic
61#5817—31no—
62#5633—31no—
63#5529—31no—
64#5513—31no—
65C3×#485—31no—
66C2×C3×#103—31no—
67#5228—31no—
68#5114—31no—
69C8×#67—31no—
70#5051—31no—
71#5002—31no—
72#4967—31no—
73#4882—31no—
74#4873—31no—
75#4864—31no—
76#4857—31no—
77#4815D311yescharacteristic, complemented
78#4813—31no—
79#4809—31no—
80#4808—31no—
81#4804—31no—
82D3×#103D311yescharacteristic, complemented
83#4800—31no—
84#4800—31no—
85#4799—31no—
86#4798—31no—
87#4798—31no—
88#4798—61no—
89#4790—31no—
90#4733—31no—
91#67⋊C8—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C3×D3×Q8—22no—
96C3×D3×Q8—41no—
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3C2311yescharacteristic
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6—21no—
102C2×C3×Dic6C2311yescharacteristic
103C2×#626—21no—
104C2×#626—21no—
105C2×#625D411yescharacteristic
106C2×#624—21no—
107#3799—22no—
108#3799—41no—
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3756—41no—
112#3752—21no—
113#3752—21no—
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118#3744—41no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×C4×Dic3—21no—
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D3×C8—41no—
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136#3722—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140(C2×D3)⋊Dic3D411yescharacteristic
141Dic32—21no—
142#3719—22no—
143D3×C3⋊C8—41no—
144#3300—91noSylow
145C22×C3×Q8—31no—
146C2×#239—31no—
147C2×D3×Q8C2×D311yescharacteristic
148C2×#235—31no—
149C22×C3×C8—31no—
150C3×C22⋊Q8—31no—
151C3×#117—31no—
152C2×C3×C4⋊C4—31no—
153#947—31no—
154#947—31no—
155#947—61no—
156#947—61no—
157#946—61no—
158#946C2×D311yescharacteristic
159Q8×Dic3—31no—
160C2×#216—31no—
161C2×#216—31no—
162C2×#216—31no—
163C2×#216—61no—
164#930—31no—
165#930—61no—
166#929—61no—
167C4×#67—31no—
168C4×#67—31no—
169C4×#67—61no—
170#926—61no—
171#924—31no—
172#924—31no—
173C22×C3⋊C8—31no—
174C2×Dic12—31no—
175C2×#204—31no—
176C2×#204—31no—
177C2×#204—61no—
178C2×D3×C8—31no—
179C2×D3×C8C2×D311yescharacteristic
180#898—61no—
181#897—31no—
182#897—31no—
183#896—61no—
184#895—31no—
185#893—61no—
186#892C2×D311yescharacteristic
187D3×C4⋊C4C2×D311yescharacteristic
188#890—31no—
189#890—31no—
190#889—61no—
191#887—31no—
192#887—31no—
193#887—31no—
194#887—61no—
195#885—61no—
196#884—61no—
197#883—61no—
198#879—61no—
199#872—61no—
200#870—61no—
201C3×#107—31no—
202C3×#106—31no—
203C3×#103—21no—
204C3×#103—31no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#103C2×D311yescharacteristic
209C3×#103C2×D311yescharacteristic
210C3×C22⋊C8—31no—
211#835—31no—
212#835C2×D311yescharacteristic
213#835C2×D311yescharacteristic
214#830—31no—
215#821—31no—
216#821—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8C2×D311yescharacteristic
219#817C2×D311yescharacteristic
220#816—31no—
221#816C2×D311yescharacteristic
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—61no—
225C8×Dic3—31no—
226C8×Dic3—31no—
227#810—31no—
228#810—31no—
229#810C2×D311yescharacteristic
230#809—31no—
231#809—31no—
232#809—31no—
233#809—31no—
234#809—61no—
235#807—31no—
236#807—31no—
237#807C2×D311yescharacteristic
238C22×C3⋊D3—21no—
239C22×C3×D3C2×D411yescharacteristic
240C22×C3×D3C2×D411yescharacteristic
241C32×Q8—21no—
242C32×Q8—21no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4C2411yescharacteristic
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3⋊Dic3C2×D411yescharacteristic
249C4⋊(C3⋊D3)—21no—
250C4⋊(C3⋊D3)—21no—
251#634—21no—
252#634—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—42no—
264C3×C4×D3—42no—
265C3×Dic6—21no—
266C3×Dic6—42no—
267C3×Dic6#4112yes—
268#626—42no—
269#626—42no—
270#625—22no—
271#624—42no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3×C3⋊C8—21no—
275C3×C3⋊C8—21no—
276#552—91no—
277#548—91no—
278#488—91no—
279#485—31no—
280#480—91no—
281#479—91no—
282#467—91no—
283#465—91no—
284#464—91no—
285#452—91no—
286#451—91no—
287C4×Q16—91no—
288C8×D4—91no—
289#416—91no—
290C2×#103—31no—
291C2×C3×Q8—21no—
292C2×C3×Q8—31no—
293C2×C3×Q8—61no—
294C2×C3×Q8—62no—
295C2×C3×Q8—121no—
296C2×C3×Q8C22×D311yescharacteristic
297C2×C3×Q8C22×D311yescharacteristic
298C22×C3×C4—31no—
299C22×C3×C4—31no—
300C22×C3×C4—61no—
301C22×C3×C4—61no—
302C2×#67—31no—
303C2×#67—31no—
304C2×#67—61no—
305C2×#67—61no—
306#239—62no—
307#239—121no—
308D3×Q8—22no—
309D3×Q8—41no—
310#235—62no—
311#235—121no—
312C2×D12—31no—
313C2×D12—31no—
314C2×D12—61no—
315C2×D12—61no—
316C2×D12—61no—
317C2×C4×D3—21no—
318C2×C4×D3—21no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3C22×D311yescharacteristic
322C2×C4×D3C22×D311yescharacteristic
323C2×Dic6—21no—
324C2×Dic6—31no—
325C2×Dic6—31no—
326C2×Dic6—61no—
327C2×Dic6C22×D311yescharacteristic
328C2×C3×C8—21no—
329C2×C3×C8—31no—
330C2×C3×C8—31no—
331C2×C3×C8—121no—
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C3×C4⋊C4—21no—
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
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—61no—
345#217—31no—
346#217—31no—
347#217—61no—
348#217—61no—
349#216—62no—
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—61no—
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—61no—
365(C2×D3)⋊C4—121no—
366(C2×D3)⋊C4—121no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3C22×D311yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—31no—
378Dic3⋊C4—31no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—121no—
387C4×Dic3—21no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—121no—
396C2×C3⋊C8—31no—
397C2×C3⋊C8—31no—
398C2×C3⋊C8—61no—
399C2×C3⋊C8—121no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—62no—
403#204—121no—
404#204—121no—
405#204—122no—
406D3×C8—41no—
407D3×C8—121no—
408C22×C32C22×D411yescharacteristic
409C2×C3⋊D3—41no—
410C2×C3⋊D3—41no—
411C2×C3⋊D3—41no—
412C2×C3×D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C2×C3×D3—21no—
416C2×C3×D3—21no—
417C2×C3×D3#13512yes—
418C32×C4—41no—
419C32×C4—41no—
420C32×C4C2×#4111yescharacteristic
421C32×C4H(5,𝔽2)11yescharacteristic
422C3⋊Dic3—21no—
423C3⋊Dic3—21no—
424C3⋊Dic3—41no—
425C3×Dic3—21no—
426C3×Dic3—22no—
427C3×Dic3—21no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C2×#41—91no—
432C22×Q8—31no—
433C2×Q16—91no—
434C2×Q16—91no—
435C2×SD16—91no—
436C22×C8—31no—
437C22×C8—91no—
438#126—181no—
439#125—91no—
440#125—181no—
441#124—91no—
442#124—181no—
443#123—181no—
444C22⋊Q8—31no—
445C22⋊Q8—91no—
446C22⋊Q8—91no—
447C22⋊Q8—181no—
448#121—91no—
449#121—181no—
450C4×Q8—91no—
451C4×Q8—91no—
452C4×D4—91no—
453C4×D4—181no—
454#117—31no—
455#117—181no—
456C2×C4⋊C4—31no—
457#107—31no—
458#107—91no—
459#106—31no—
460C4⋊C8—91no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—31no—
465#103—91no—
466#103—91no—
467#103D3211yescharacteristic
468#102—91no—
469#102—91no—
470#102—91no—
471C22⋊C8—31no—
472C22⋊C8—91no—
473C4×C8—91no—
474C23×C3—31no—
475C23×C3—31no—
476C22×D3—61no—
477C22×D3—61no—
478C22×D3—121no—
479C22×D3D3×D411yescharacteristic
480C22×D3D3×D411yescharacteristic
481C3×Q8—21no—
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—21no—
485C3×Q8—32no—
486C3×Q8—41no—
487C3×Q8—41no—
488C3×Q8—61no—
489C3×Q8—122no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—61no—
507C2×C3×C4—122no—
508C2×C3×C4—122no—
509C2×C3×C4C23×D311yescharacteristic
510C2×C3×C4C23×D311yescharacteristic
511#67—62no—
512#67—62no—
513#67—122no—
514#67—122no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—21no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—61no—
527C2×Dic3—121no—
528C2×Dic3D3×D411yescharacteristic
529C2×Dic3D3×D411yescharacteristic
530D12—61no—
531D12—61no—
532D12—61no—
533D12—61no—
534D12—121no—
535D12—121no—
536D12—122no—
537D12—122no—
538C4×D3—21no—
539C4×D3—21no—
540C4×D3—21no—
541C4×D3—21no—
542C4×D3—42no—
543C4×D3—42no—
544C4×D3—122no—
545C4×D3—122no—
546Dic6—21no—
547Dic6—42no—
548Dic6—62no—
549Dic6—61no—
550Dic6—61no—
551Dic6—61no—
552Dic6—61no—
553Dic6—121no—
554Dic6#23512yes—
555C3×C8—21no—
556C3×C8—21no—
557C3×C8—41no—
558C3×C8—61no—
559C3×C8—61no—
560C3⋊C8—21no—
561C3⋊C8—21no—
562C3⋊C8—61no—
563C3⋊C8—61no—
564C3⋊C8—121no—
565C2×C32#54611yescharacteristic
566C2×C32C2×#13511yescharacteristic
567C2×C32#57811yescharacteristic
568C3⋊D3—81no—
569C3×D3—22no—
570C3×D3—41no—
571#41—182no—
572#41—361no—
573C2×Q8—31no—
574C2×Q8—61no—
575C2×Q8—62no—
576C2×Q8—91no—
577C2×Q8—121no—
578C2×Q8C2×D3211yescharacteristic
579C2×D4—91no—
580C2×D4—91no—
581C2×D4—181no—
582C2×D4—181no—
583C22×C4—31no—
584C22×C4—31no—
585C22×C4—61no—
586C22×C4—61no—
587C22×C4—181no—
588Q16—182no—
589Q16—361no—
590SD16—361no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8—121no—
595C2×C8—361no—
596C2×C8C2×D3211yescharacteristic
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—31no—
600C4⋊C4—61no—
601C4⋊C4—61no—
602C4⋊C4—91no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4C2×D3211yescharacteristic
610C22⋊C4—61no—
611C22⋊C4—61no—
612C22⋊C4—91no—
613C22⋊C4—91no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C42—61no—
620C42—91no—
621C42—181no—
622C42—181no—
623C22×C3—21no—
624C22×C3—32no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3—61no—
628C22×C3—61no—
629C22×C3—61no—
630C22×C3C2×D3×D411yescharacteristic
631C22×C3C2×D3×D411yescharacteristic
632C2×D3—21no—
633C2×D3—21no—
634C2×D3—21no—
635C2×D3—21no—
636C2×D3—21no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—241no—
644C2×D3—241no—
645C2×D3—241no—
646C2×D3#91612yes—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—41no—
653C3×C4—62no—
654C3×C4—61no—
655C3×C4—61no—
656C3×C4—81no—
657C3×C4—81no—
658C3×C4—121no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4C2×#23511yescharacteristic
662C3×C4#100411yescharacteristic
663C3×C4D3×#4111yescharacteristic
664C3×C4#100911yescharacteristic
665Dic3—21no—
666Dic3—22no—
667Dic3—21no—
668Dic3—41no—
669Dic3—41no—
670Dic3—41no—
671Dic3—61no—
672Dic3—61no—
673Dic3—61no—
674Dic3—61no—
675Dic3—121no—
676Dic3—121no—
677Dic3—122no—
678Dic3—121no—
679Dic3—121no—
680C32#330011yescharacteristic, complemented, Sylow
681C23—31no—
682C23—31no—
683C23—181no—
684Q8—21no—
685Q8—21no—
686Q8—32no—
687Q8—61no—
688Q8—122no—
689Q8—181no—
690Q8—181no—
691D4—182no—
692D4—181no—
693D4—181no—
694D4—362no—
695D4—362no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—61no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—61no—
708C2×C4—91no—
709C2×C4—91no—
710C2×C4—122no—
711C2×C4—122no—
712C2×C4—181no—
713C2×C4—362no—
714C2×C4C22×D3211yescharacteristic
715C8—21no—
716C8—61no—
717C8—61no—
718C8—181no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—62no—
723C2×C3—121no—
724C2×C3#549011yescharacteristic
725C2×C3#565411yescharacteristic
726C2×C3C2×#91611yescharacteristic
727C2×C3#576611yescharacteristic
728C2×C3D3×#13511yescharacteristic
729C2×C3#577911yescharacteristic
730D3—22no—
731D3—41no—
732D3—241no—
733D3—241no—
734D3—481no—
735C22—32no—
736C22—61no—
737C22—61no—
738C22—61no—
739C22—61no—
740C22—61no—
741C22—361no—
742C22—361no—
743C22—361no—
744C22D32×D411yescharacteristic
745C4—41no—
746C4—41no—
747C4—61no—
748C4—61no—
749C4—62no—
750C4—121no—
751C4—121no—
752C4—121no—
753C4—181no—
754C4—181no—
755C4—361no—
756C4D3×#23511yescharacteristic
757C4#6431411yescharacteristic
758C3—21no—
759C3#7880711yescharacteristic, complemented
760C3#8152411yescharacteristic, complemented
761C2—62no—
762C2—121no—
763C2—721no—
764C2#1059427211yescharacteristic
765C2D3×#91611yescharacteristic
766C2#1059476611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10595402C2
hypercenter#103D32
hypocenterC32#3300
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
2. #10594550C2semidirect
3. #10592497C2semidirect
4. C3×#4815C2semidirect
5. C3×D3×#103C2semidirect
6. #10591596C2semidirect
7. #10591595C2semidirect
8. #10591539C2semidirect
9. #10590970C2semidirect
10. #10590830C2semidirect
11. #10590820C2semidirect
12. #10590717C2semidirect
13. #10590610C2semidirect
14. #10590482C2semidirect
15. #10590422C2semidirect
77. #4815D3semidirect
82. D3×#103D3semidirect
680. C32#3300semidirect
759. C3#78807semidirect
760. C3#81524semidirect

Maximal subgroups

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

subgroupindex
#105954022
#105945502
#105924972
C3×#48152
C3×D3×#1032
#105915962
#105915952
#105915392
#105909702
#105908302
#105908202
#105907172
#105906102
#105904822
#105904222
#815243
#788073