Finite Group Databasebeta

← #11872379

Subgroups — #11872379

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#10594594C211yesmaximal, characteristic, complemented
2#10594361C211yesmaximal, characteristic, complemented
3#10592581C211yesmaximal, characteristic, complemented
4C3×#4891C211yesmaximal, characteristic, complemented
5C3×#4889C211yesmaximal, characteristic, complemented
6#10590964C211yesmaximal, characteristic, complemented
7#10590799C211yesmaximal, characteristic, complemented
8#10590746C211yesmaximal, characteristic, complemented
9#10590647C211yesmaximal, characteristic, complemented
10#10590617C211yesmaximal, characteristic, complemented
11#10590547C211yesmaximal, characteristic, complemented
12#10590511C211yesmaximal, characteristic, complemented
13#10590493C211yesmaximal, characteristic, complemented
14#10590458C211yesmaximal, characteristic, complemented
15#10590452C211yesmaximal, characteristic, complemented
16#81144—31nomaximal
17#79812—31nomaximal
18C2×#3796C2211yescharacteristic
19#64104C2211yescharacteristic
20C4⋊C4×C3⋊D3C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C3×#893C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#890C2211yescharacteristic
25C3×#887C2211yescharacteristic
26#63916C2211yescharacteristic
27#63911C2211yescharacteristic
28#63910—21no—
29#63909—21no—
30C4×#626—21no—
31#63894C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33#63881—21no—
34#63877—21no—
35D3×Dic3⋊C4—21no—
36#63874C2211yescharacteristic
37#63854—21no—
38#63850—21no—
39Dic3×Dic6C2211yescharacteristic
40C2×#3717C2211yescharacteristic
41C2×#3714C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C32×#107C2211yescharacteristic
44#63648C2211yescharacteristic
45#63647C2211yescharacteristic
46#63636C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#815C2211yescharacteristic
50C3×Dic3⋊C8C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#808C2211yescharacteristic
55#63573C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63565C2211yescharacteristic
58#63563C2211yescharacteristic
59#63557C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5697—31no—
62#5574—31no—
63#5562—31no—
64#5546—31no—
65C3×#478—31no—
66C3×#440—31no—
67#5172—31no—
68#5163—31no—
69#5063—31no—
70C4×#215—31no—
71#5015—31no—
72C4×#213—31no—
73#4891D311yescharacteristic, complemented
74#4889D311yescharacteristic, complemented
75#4882—31no—
76#4882—31no—
77#4882—61no—
78#4863—31no—
79#4852—31no—
80#4848—31no—
81#4840—31no—
82#4810—31no—
83#4799—31no—
84#4786—31no—
85#4785—31no—
86#4781—31no—
87#4781—31no—
88#4777—31no—
89#4756—31no—
90#4711—31no—
91#4709—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#624—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108#3796—22no—
109#3796—22no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C32×C4⋊C4C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C3×#204—22no—
129#3724D411yescharacteristic
130#3724D411yescharacteristic
131Dic3⋊Dic3—21no—
132#3722—21no—
133#3722D411yescharacteristic
134#3722D411yescharacteristic
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138#3717—22no—
139#3714—22no—
140#3713—22no—
141#3119—91noSylow
142C2×#239—31no—
143C2×#237—31no—
144C2×C3×SD16—31no—
145C3×#125—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149Q8×Dic3—31no—
150C2×#215—31no—
151#940—31no—
152#938—31no—
153D4×Dic3—31no—
154C2×#213—31no—
155C2×#213—31no—
156C2×#213—31no—
157#930—61no—
158#929—61no—
159C4×#67—61no—
160C2×Dic3⋊C4—61no—
161C2×D24—31no—
162C2×#204—31no—
163C2×#204C2×D311yescharacteristic
164#895—31no—
165#895—31no—
166#895—31no—
167#895—61no—
168#895—61no—
169#895—61no—
170#894—61no—
171#894—61no—
172#893—31no—
173#893—61no—
174#893C2×D311yescharacteristic
175#893C2×D311yescharacteristic
176D3×C4⋊C4—31no—
177D3×C4⋊C4—31no—
178D3×C4⋊C4—61no—
179D3×C4⋊C4—61no—
180#890C2×D311yescharacteristic
181#887C2×D311yescharacteristic
182#884—61no—
183#883—61no—
184#67⋊C4—61no—
185#877—61no—
186#874—31no—
187C4×D12—31no—
188C4×D12—31no—
189C4×D12—61no—
190#872—31no—
191#872—31no—
192#872—61no—
193C4×Dic6—31no—
194C3×#107—21no—
195C3×#107C2×D311yescharacteristic
196C3×#107C2×D311yescharacteristic
197C3×#106—31no—
198C3×C4⋊C8—31no—
199C3×#103—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×#102—31no—
203C3×#97—31no—
204#835—31no—
205#832—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—61no—
210#821C2×D311yescharacteristic
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#817—31no—
217#815C2×D311yescharacteristic
218Dic3⋊C8—31no—
219Dic3⋊C8C2×D311yescharacteristic
220C8×Dic3—31no—
221#810—31no—
222#810C2×D311yescharacteristic
223#809—31no—
224#809—31no—
225#809—61no—
226#809C2×D311yescharacteristic
227#809C2×D311yescharacteristic
228#808—31no—
229#808C2×D311yescharacteristic
230#807—31no—
231#807—31no—
232#807—61no—
233C4⋊(C3⋊C8)—31no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3⋊D3C2×D411yescharacteristic
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3C2×D411yescharacteristic
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—81no—
247C4×C3⋊D3—21no—
248C4×C3⋊D3—21no—
249C4×C3⋊D3—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12#4112yes—
260C3×C4×D3—81no—
261C3×C4×D3—81no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#626—24no—
265#626—81no—
266#626—81no—
267#626—81no—
268#624—81no—
269D3×Dic3—24no—
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—31no—
281#460—91no—
282#459—91no—
283#449—91no—
284#449—91no—
285#442—91no—
286#440—31no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C22×C3×C4—61no—
294C22×C3×C4—61no—
295C2×#67—61no—
296C2×#67—61no—
297C2×#67—61no—
298C2×#67—61no—
299C22×Dic3—61no—
300C22×Dic3—61no—
301#239—62no—
302#239—62no—
303#237—62no—
304#237—62no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—121no—
315C2×D12C22×D311yescharacteristic
316C2×D12C22×D311yescharacteristic
317C2×C4×D3—21no—
318C2×C4×D3—21no—
319C2×C4×D3—31no—
320C2×C4×D3—31no—
321C2×C4×D3—61no—
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—
331C2×C3×C8—21no—
332C2×C3×C8—31no—
333C2×C3×C8—31no—
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—21no—
337C3×C4⋊C4—21no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4C22×D311yescharacteristic
343C3×C4⋊C4C22×D311yescharacteristic
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C22⋊C4—61no—
347C3×C22⋊C4—61no—
348C3×C42—31no—
349C3×C42—31no—
350C3×C42—61no—
351#217—61no—
352#217—61no—
353#215—62no—
354#213—62no—
355#213—62no—
356#213—62no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—21no—
359(C2×D3)⋊C4—31no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
362(C2×D3)⋊C4—31no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—61no—
367(C2×D3)⋊C4—61no—
368(C2×D3)⋊C4—61no—
369(C2×D3)⋊C4—121no—
370C4⋊Dic3—21no—
371C4⋊Dic3—31no—
372C4⋊Dic3—31no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3C22×D311yescharacteristic
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—31no—
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—31no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—121no—
386C4×Dic3—21no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C4×Dic3C22×D311yescharacteristic
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396D24—62no—
397#204—22no—
398#204—62no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—21no—
401C2×C3⋊D3—21no—
402C2×C3⋊D3—21no—
403C2×C3⋊D3—41no—
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
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×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—21no—
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—91no—
428C2×D8—91no—
429#127—91no—
430#125—31no—
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#107D3211yescharacteristic
451#106—31no—
452#106—91no—
453C4⋊C8—31no—
454C4⋊C8—91no—
455#103—31no—
456#103—91no—
457#102—31no—
458#102—31no—
459#102—31no—
460#102—91no—
461#102—91no—
462#102—91no—
463C22⋊C8—91no—
464C22⋊C8—91no—
465#97—31no—
466C4×C8—91no—
467C23×C3—61no—
468C23×C3—61no—
469C22×D3—21no—
470C22×D3—21no—
471C22×D3—31no—
472C22×D3—31no—
473C22×D3—61no—
474C22×D3—61no—
475C22×D3—61no—
476C22×D3—121no—
477C3×Q8—32no—
478C3×Q8—61no—
479C3×D4—32no—
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—61no—
496C2×C3×C4—241no—
497C2×C3×C4—241no—
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—64no—
501#67—241no—
502#67—241no—
503#67—241no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—61no—
509C2×Dic3—64no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—121no—
513C2×Dic3—241no—
514C2×Dic3D3×D411yescharacteristic
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518D12—21no—
519D12—21no—
520D12—21no—
521D12—64no—
522D12—61no—
523D12—61no—
524D12—61no—
525D12—61no—
526D12—121no—
527D12—121no—
528D12—241no—
529D12—241no—
530D12—241no—
531D12—241no—
532D12—242no—
533D12—241no—
534D12#23912yes—
535C4×D3—64no—
536C4×D3—61no—
537C4×D3—61no—
538C4×D3—61no—
539C4×D3—61no—
540C4×D3—81no—
541C4×D3—81no—
542C4×D3—121no—
543C4×D3—121no—
544C4×D3—241no—
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#52511yescharacteristic
563C2×C32#57611yescharacteristic
564C2×C32#57711yescharacteristic
565C3⋊D3—41no—
566C3⋊D3—81no—
567C3×D3—42no—
568C3×D3—81no—
569#41—182no—
570#41—182no—
571C2×Q8—31no—
572C2×D4—31no—
573C2×D4—31no—
574C2×D4—91no—
575C2×D4—181no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
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—182no—
590D8—182no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8C2×D3211yescharacteristic
595C4⋊C4—31no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—91no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4C2×D3211yescharacteristic
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—62no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3C2×D3×D411yescharacteristic
626C22×C3C2×D3×D411yescharacteristic
627C2×D3—22no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3—62no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—61no—
639C2×D3—61no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—121no—
644C2×D3—121no—
645C2×D3—121no—
646C2×D3—121no—
647C2×D3—121no—
648C2×D3—241no—
649C2×D3—241no—
650C2×D3—241no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—41no—
654C3×C4—41no—
655C3×C4—41no—
656C3×C4—41no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—61no—
660C3×C4—61no—
661C3×C4—62no—
662C3×C4—81no—
663C3×C4—81no—
664C3×C4—121no—
665C3×C4C2×#23511yescharacteristic
666C3×C4C2×#23911yescharacteristic
667C3×C4D3×#4111yescharacteristic
668C3×C4D3×#4111yescharacteristic
669Dic3—21no—
670Dic3—21no—
671Dic3—21no—
672Dic3—21no—
673Dic3—22no—
674Dic3—41no—
675Dic3—61no—
676Dic3—61no—
677Dic3—121no—
678Dic3—121no—
679Dic3—121no—
680Dic3—241no—
681C32#311911yescharacteristic, complemented, Sylow
682C23—61no—
683C23—61no—
684C23—91no—
685C23—181no—
686Q8—32no—
687Q8—61no—
688D4—32no—
689D4—61no—
690D4—61no—
691D4—61no—
692D4—184no—
693D4—181no—
694D4—181no—
695D4—721no—
696D4—721no—
697D4—721no—
698D4—721no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—31no—
702C2×C4—31no—
703C2×C4—31no—
704C2×C4—31no—
705C2×C4—61no—
706C2×C4—61no—
707C2×C4—91no—
708C2×C4—184no—
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—122no—
726C2×C3—241no—
727C2×C3#554711yescharacteristic
728C2×C3#562711yescharacteristic
729C2×C3#577011yescharacteristic
730C2×C3#577411yescharacteristic
731C2×C3#577411yescharacteristic
732C2×C3#577811yescharacteristic
733D3—42no—
734D3—81no—
735D3—122no—
736D3—121no—
737D3—121no—
738D3—241no—
739D3—241no—
740D3—481no—
741C22—62no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22—181no—
748C22—181no—
749C22—181no—
750C22—361no—
751C22—361no—
752C22—361no—
753C22D32×D411yescharacteristic
754C4—41no—
755C4—41no—
756C4—62no—
757C4—61no—
758C4—61no—
759C4—61no—
760C4—61no—
761C4—121no—
762C4—181no—
763C4—361no—
764C4D3×#23511yescharacteristic
765C4D3×#23911yescharacteristic
766C3—21no—
767C3#7981211yescharacteristic, complemented
768C3#8114411yescharacteristic, complemented
769C2—122no—
770C2—241no—
771C2—361no—
772C2—721no—
773C2#1059462311yescharacteristic
774C2#1059473511yescharacteristic
775C2#1059477011yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#107C22
socleC22×C32C22×D4
hypercenter#107D32
hypocenterC32#3119
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. #10594594C2semidirect
2. #10594361C2semidirect
3. #10592581C2semidirect
4. C3×#4891C2semidirect
5. C3×#4889C2semidirect
6. #10590964C2semidirect
7. #10590799C2semidirect
8. #10590746C2semidirect
9. #10590647C2semidirect
10. #10590617C2semidirect
11. #10590547C2semidirect
12. #10590511C2semidirect
13. #10590493C2semidirect
14. #10590458C2semidirect
15. #10590452C2semidirect
73. #4891D3semidirect
74. #4889D3semidirect
681. C32#3119semidirect
767. C3#79812semidirect
768. C3#81144semidirect

Maximal subgroups

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

subgroupindex
#105945942
#105943612
#105925812
C3×#48912
C3×#48892
#105909642
#105907992
#105907462
#105906472
#105906172
#105905472
#105905112
#105904932
#105904582
#105904522
#811443
#798123