Finite Group Databasebeta

← #10574373

Subgroups — #10574373

Order 512.

6414 conjugacy classes of subgroups.

The subgroup lattice has 761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62815C211yesmaximal, characteristic
2#60275C2116yesmaximal, complemented
3#60272C2116yesmaximal, complemented
4#60270C218yesmaximal, complemented
5#60269C218yesmaximal, complemented
6#60192C211yesmaximal, characteristic, complemented
7C2×#2961C211yesmaximal, characteristic, complemented
8#60144C211yesmaximal, characteristic, complemented
9#60143C212yesmaximal, complemented
10#60142C212yesmaximal, complemented
11C2×#2932C211yesmaximal, characteristic, complemented
12#60126C212yesmaximal, complemented
13C2×#2923C211yesmaximal, characteristic, complemented
14#60100C212yesmaximal, complemented
15#60099C211yesmaximal, characteristic, complemented
16C2×#568C2212yes—
17C2×#568C2212yes—
18C22×#131C2212yes—
19#3512C414yes—
20#3511C414yes—
21#3510C414yes—
22#3509C412yes—
23#3508C412yes—
24#3507C414yes—
25#3506C414yes—
26#3505C418yes—
27#3480C2218yes—
28#3475C2218yes—
29#3455C2214yes—
30#3449C2212yes—
31#3444C2214yes—
32C2×#533C2211yescharacteristic
33C2×#532C2211yescharacteristic
34#3428C2212yes—
35C2×C4×#41C2211yescharacteristic
36#2995C22132yescomplemented
37#2995C22132yescomplemented
38#2994C22132yescomplemented
39#2993C22132yescomplemented
40#2992C22132yescomplemented
41#2992C22132yescomplemented
42#2990C22132yescomplemented
43#2989C22132yescomplemented
44Q8×M16C2218yescomplemented
45#2962C2218yescomplemented
46#2961C2214yescomplemented
47#2961C2214yescomplemented
48#2961C2218yescomplemented
49#2961C2214yescomplemented
50#2960C2214yescomplemented
51C2×#446C2218yescomplemented
52#2935C22116yescomplemented
53#2935C2218yescomplemented
54D4×M16C2218yescomplemented
55#2933C22116yes—
56#2933C22116yescomplemented
57#2933C22116yescomplemented
58#2932C2214yes—
59#2932C2214yes—
60#2932C2214yes—
61#2932C2218yescomplemented
62#2932C2218yescomplemented
63#2931C2214yes—
64#2931C2218yescomplemented
65#2930C2218yes—
66#2929C2218yes—
67C2×#435C2218yescomplemented
68#2925C22116yescomplemented
69#2924C22116yescomplemented
70#2923C2218yes—
71#2923C2218yescomplemented
72#2923C2218yescomplemented
73#2922C2218yescomplemented
74C2×#433C2214yescomplemented
75C2×#432C2214yescomplemented
76#2906C2218yes—
77#2906C22116yescomplemented
78#2906C2218yescomplemented
79#2906C22116yescomplemented
80#2905C2212yes—
81#2905C2212yes—
82#2905C2214yescomplemented
83#2905C2218yescomplemented
84C2×#424C2212yes—
85C2×#424C2211yescharacteristic
86C2×#424C2211yescharacteristic
87C2×#424C2218yescomplemented
88C2×#423C2211yescharacteristic
89C2×#423C2211yescharacteristic
90C2×#423C2214yescomplemented
91#2879C2212yes—
92C2×#408C2211yescharacteristic
93C2×#408C2211yescharacteristic
94C2×#408C2212yes—
95#2873C2212yes—
96C2×#405C2212yes—
97C2×C4×M16C2211yescharacteristic
98C22×#97C2211yescharacteristic
99C22×#41C2311yescharacteristic
100C22×#41C2312yes—
101#568—48no—
102#568—48no—
103C2×#131—48no—
104C2×#131C2318yes—
105C2×#131C2318yes—
106C2×#131C2318yes—
107C2×#131C2318yes—
108C2×#131C2318yes—
109C2×#131C2318yes—
110C22×M16C2311yescharacteristic
111C22×M16C2311yescharacteristic
112C22×M16C2312yes—
113C22×M16C2312yes—
114C22×M16C2318yes—
115C22×M16C2318yes—
116C22×M16C2314yes—
117C23×C8C2311yescharacteristic
118C23×C8C2311yescharacteristic
119C23×C8C2314yes—
120#559C2×C4116yes—
121#559C2×C418yes—
122#557C2×C418yes—
123#556C2×C418yes—
124#556C2×C418yes—
125#556C2×C4116yes—
126#555C2×C418yes—
127#554C2×C418yes—
128#553C2×C4116yes—
129#553C2×C4116yes—
130#553C2×C4132yes—
131#552C2×C4116yes—
132#552C2×C4116yes—
133#551C2×C4132yes—
134#550C2×C418yes—
135#548C2×C4116yes—
136#547C2×C418yes—
137#546C2×C4116yes—
138#542C2×C4116yes—
139#541C2×C418yes—
140#540C2×C418yes—
141#539C2×C4116yes—
142#538C2×C4116yes—
143#537C2×C418yes—
144#536C2×C414yes—
145#536C2×C414yes—
146#535C2×C414yes—
147#535C2×C414yes—
148#534C2×C418yes—
149#533C2×C414yes—
150#533C2×C412yes—
151#533C2×C412yes—
152#533C2×C418yes—
153#533C2312yes—
154#533C2312yes—
155#533C2314yes—
156#532C2×C414yes—
157#532C2×C412yes—
158#532C2×C412yes—
159#532C2×C418yes—
160#532C2312yes—
161#532C2312yes—
162#532C2314yes—
163#532C2318yes—
164C2×C4⋊Q8C2×C411yescharacteristic
165C2×C4⋊Q8C2×C412yes—
166C2×#127C2×C411yescharacteristic
167#529C2×C4116yes—
168#529C2×C4116yes—
169#529C23116yes—
170#529C23132yes—
171C2×#125C2×C412yes—
172C2×#124C2×C412yes—
173#525C2×C4116yes—
174#525C2318yes—
175#525C2318yes—
176C2×C22⋊Q8C2×C414yes—
177C2×#121C2×C414yes—
178#520C2×C418yes—
179#520C2×C418yes—
180#519C2×C414yes—
181#518C2×C418yes—
182#518C2×C414yes—
183C4×#41C2×C412yes—
184C4×#41C2×C412yes—
185C4×#41C2×C412yes—
186C4×#41C2×C412yes—
187C4×#41C23116yes—
188C4×#41C2314yes—
189C4×#41C2314yes—
190C4×#41C2318yes—
191C4×#41C2318yes—
192C2×C4×Q8C2×C412yes—
193C2×C4×Q8C2314yes—
194C2×C4×D4C2×C414yes—
195C2×C4×D4C2×C412yes—
196C2×C4×D4C2314yes—
197C2×#117C2312yes—
198C2×#117C2311yescharacteristic
199C2×#117C2318yes—
200C2×#117C2312yes—
201C22×C42C2311yescharacteristic
202C22×C42C2312yes—
203#446C23116yes—
204#446C23116yes—
205#446C23116yes—
206#446C23116yes—
207#446C23116yes—
208#446C23132yes—
209C8×Q8C23116yes—
210#436C23132yes—
211#436C23116yes—
212#436C23132yes—
213#435C23116yes—
214#435C23116yes—
215#435C23116yes—
216#435C23116yes—
217#435C23132yes—
218#435C23132yes—
219#435C23132yes—
220#435C23132yes—
221#435C23132yes—
222C8×D4C23132yes—
223C8×D4C23116yes—
224C8×D4C23132yes—
225#433C23116yes—
226#433C23116yes—
227#433C23132yes—
228#433C23132yes—
229#432C23116yes—
230#432C23116yes—
231#432C23132yes—
232#431C23132yes—
233#424C2314yes—
234#424C2314yes—
235#424C2314yes—
236#424C2314yes—
237#424C2318yes—
238#424C2314yes—
239#424C2314yes—
240#424C2318yes—
241#424C2318yes—
242#424C23132yes—
243#424C2318yes—
244#424C2318yes—
245#424C23132yes—
246#424C23132yes—
247#423C2312yes—
248#423C2312yes—
249#423C2312yes—
250#423C2312yes—
251#423C2314yes—
252#423C2314yes—
253#423C2318yes—
254#423C23116yes—
255#423C2318yes—
256#423C23132yes—
257C2×C4⋊C8C2314yes—
258C2×C4⋊C8C2314yes—
259C2×C4⋊C8C23116yes—
260C2×C4⋊C8C2314yes—
261C2×C4⋊C8C2318yes—
262C2×C4⋊C8C2314yes—
263C2×C4⋊C8C23132yes—
264#408C2314yes—
265#408C2314yes—
266#408C2314yes—
267#408C2314yes—
268#408C2314yes—
269#408C2314yes—
270#408C2318yes—
271#408C2318yes—
272#408C2318yes—
273#407C2318yes—
274C2×C22⋊C8C2314yes—
275C2×C22⋊C8C2314yes—
276C2×C22⋊C8C2318yes—
277#405C2318yes—
278#405C2318yes—
279#405C2318yes—
280#405C2318yes—
281C4×M16C2314yes—
282C4×M16C2314yes—
283C4×M16C2318yes—
284C2×#97C2312yes—
285C2×#97C2312yes—
286C2×#97C2314yes—
287C2×#97C2314yes—
288C2×#97C2312yes—
289C2×#97C2314yes—
290C2×C4×C8C2312yes—
291C2×C4×C8C2314yes—
292C2×#41—28no—
293C2×#41—24no—
294C2×#41—24no—
295C2×#41—28no—
296C2×#41C22×C412yes—
297C2×#41C22×C412yes—
298C2×#41C22×C414yes—
299C2×#41C22×C414yes—
300C2×#41C22×C4116yes—
301C2×#41C2412yes—
302C2×#41C2414yes—
303C2×#41C2412yes—
304C2×#41C2414yes—
305C22×Q8C22×C411yescharacteristic
306C22×Q8C22×C412yes—
307C22×Q8C22×C414yes—
308C22×D4C22×C412yes—
309C22×D4C22×C411yescharacteristic
310C22×D4C22×C414yes—
311C22×D4C22×C412yes—
312C22×D4C22×C414yes—
313C23×C4C22×C412yes—
314C23×C4C22×C414yes—
315C23×C4C2414yes—
316C23×C4C2412yes—
317C23×C4C2411yescharacteristic
318#131—416no—
319#131—416no—
320#131—416no—
321#131—416no—
322#131—416no—
323#131—416no—
324C2×M16—28no—
325C2×M16—24no—
326C2×M16—28no—
327C2×M16—24no—
328C2×M16—48no—
329C2×M16—416no—
330C2×M16—416no—
331C2×M16C2412yes—
332C2×M16C2414yes—
333C2×M16C2414yes—
334C2×M16C2414yes—
335C2×M16C2412yes—
336C2×M16C2414yes—
337C2×M16C2412yes—
338C2×M16C2412yes—
339C2×M16C24116yes—
340C2×M16C24116yes—
341C2×M16C24116yes—
342C22×C8—24no—
343C22×C8—24no—
344C22×C8—48no—
345C22×C8C2412yes—
346C22×C8C2414yes—
347C22×C8C2412yes—
348C22×C8C2412yes—
349C22×C8C2412yes—
350C22×C8C2412yes—
351C22×C8C2412yes—
352C22×C8C2412yes—
353C22×C8C2414yes—
354C22×C8C2412yes—
355C22×C8C24116yes—
356C22×C8C24116yes—
357C22×C8C24116yes—
358C4⋊Q8C22×C414yes—
359C4⋊Q8C22×C412yes—
360C4⋊Q8C22×C412yes—
361C4⋊Q8C22×C414yes—
362C4⋊Q8C22×C414yes—
363C4⋊Q8C22×C414yes—
364C4⋊Q8C22×C414yes—
365C4⋊Q8C22×C418yes—
366#127C22×C412yes—
367#127C22×C412yes—
368#127C22×C414yes—
369#127C22×C418yes—
370#126C22×C4132yes—
371#126C22×C4132yes—
372#126C22×C4132yes—
373#125C22×C414yes—
374#125C22×C414yes—
375#125C22×C418yes—
376#125C22×C4116yes—
377#125C22×C4132yes—
378#124C22×C414yes—
379#124C22×C414yes—
380#124C22×C418yes—
381#124C22×C4116yes—
382#124C22×C4132yes—
383#124C22×C418yes—
384#124C22×C418yes—
385#123C22×C4132yes—
386#123C22×C4116yes—
387#123C22×C4116yes—
388#123C22×C4132yes—
389#123C22×C4132yes—
390C22⋊Q8C22×C418yes—
391C22⋊Q8C22×C418yes—
392C22⋊Q8C22×C418yes—
393C22⋊Q8C22×C418yes—
394C22⋊Q8C22×C4116yes—
395C22⋊Q8C22×C4116yes—
396C22⋊Q8C22×C4116yes—
397C22⋊Q8C22×C4132yes—
398#121C22×C418yes—
399#121C22×C418yes—
400#121C22×C418yes—
401#121C22×C418yes—
402#121C22×C4116yes—
403#121C22×C4116yes—
404#121C22×C4116yes—
405#121C22×C4132yes—
406#121C22×C4132yes—
407#120C22×C4116yes—
408#120C22×C4116yes—
409C4×Q8C22×C414yes—
410C4×Q8C22×C414yes—
411C4×Q8C22×C414yes—
412C4×Q8C22×C414yes—
413C4×Q8C22×C418yes—
414C4×Q8C22×C418yes—
415C4×Q8C22×C4116yes—
416C4×Q8C22×C4116yes—
417C4×Q8C22×C4116yes—
418C4×Q8C2418yes—
419C4×Q8C2418yes—
420C4×D4C22×C418yes—
421C4×D4C22×C414yes—
422C4×D4C22×C418yes—
423C4×D4C22×C414yes—
424C4×D4C22×C418yes—
425C4×D4C22×C418yes—
426C4×D4C22×C414yes—
427C4×D4C22×C414yes—
428C4×D4C22×C418yes—
429C4×D4C22×C418yes—
430C4×D4C22×C4132yes—
431C4×D4C22×C4116yes—
432C4×D4C22×C4132yes—
433C4×D4C22×C4116yes—
434C4×D4C22×C4132yes—
435C4×D4C22×C4116yes—
436C4×D4C2418yes—
437C4×D4C2418yes—
438C4×D4C24132yes—
439#117C22×C412yes—
440#117C22×C412yes—
441#117C22×C414yes—
442#117C22×C414yes—
443#117C22×C414yes—
444#117C22×C4116yes—
445#117C22×C414yes—
446#117C22×C4116yes—
447#117C22×C4116yes—
448#117C22×C4132yes—
449#117C2412yes—
450#117C2414yes—
451#117C2412yes—
452#117C2414yes—
453#117C2418yes—
454#117C24116yes—
455C2×C4⋊C4C22×C412yes—
456C2×C4⋊C4C22×C414yes—
457C2×C4⋊C4C22×C414yes—
458C2×C4⋊C4C22×C4116yes—
459C2×C4⋊C4C22×C414yes—
460C2×C4⋊C4C22×C418yes—
461C2×C4⋊C4C22×C414yes—
462C2×C22⋊C4C22×C412yes—
463C2×C22⋊C4C22×C414yes—
464C2×C22⋊C4C22×C414yes—
465C2×C22⋊C4C22×C4116yes—
466C2×C22⋊C4C22×C418yes—
467C2×C42C22×C414yes—
468C2×C42C22×C412yes—
469C2×C42C22×C411yescharacteristic
470C2×C42C22×C411yescharacteristic
471C2×C42C22×C414yes—
472C2×C42C22×C411yescharacteristic
473C2×C42C22×C411yescharacteristic
474C2×C42C22×C414yes—
475C2×C42C2412yes—
476C2×C42C2411yescharacteristic
477C2×C42C2414yes—
478C2×C42C24116yes—
479C2×C42C2412yes—
480C2×C42C2412yes—
481C2×C42C2418yes—
482C2×C42C2411yescharacteristic
483C4⋊C8C2418yes—
484C4⋊C8C2418yes—
485C4⋊C8C24116yes—
486C4⋊C8C24116yes—
487C4⋊C8C24132yes—
488C4⋊C8C24116yes—
489C4⋊C8C2418yes—
490C4⋊C8C24132yes—
491C4⋊C8C2418yes—
492C4⋊C8C24116yes—
493C22⋊C8C24116yes—
494C22⋊C8C24116yes—
495C22⋊C8C24116yes—
496C22⋊C8C24116yes—
497C22⋊C8C24132yes—
498#97C2414yes—
499#97C2414yes—
500#97C2414yes—
501#97C2414yes—
502#97C2418yes—
503#97C24116yes—
504#97C24116yes—
505C4×C8C2418yes—
506C4×C8C24116yes—
507C4×C8C24116yes—
508C24C23×C414yes—
509C24C23×C412yes—
510C24C23×C411yescharacteristic
511#41—28no—
512#41—216no—
513#41—216no—
514#41—28no—
515#41—24no—
516#41—28no—
517#41—24no—
518#41—28no—
519#41—28no—
520#41—24no—
521#41—24no—
522#41—28no—
523#41—816no—
524C2×Q8—28no—
525C2×Q8—24no—
526C2×Q8—84no—
527C2×Q8C23×C412yes—
528C2×Q8C23×C414yes—
529C2×Q8C23×C412yes—
530C2×Q8C23×C414yes—
531C2×Q8C23×C418yes—
532C2×Q8C23×C418yes—
533C2×D4—28no—
534C2×D4—216no—
535C2×D4—28no—
536C2×D4—24no—
537C2×D4—84no—
538C2×D4C23×C414yes—
539C2×D4C23×C418yes—
540C2×D4C23×C414yes—
541C2×D4C23×C418yes—
542C2×D4C23×C412yes—
543C2×D4C23×C414yes—
544C2×D4C23×C412yes—
545C2×D4C23×C414yes—
546C2×D4C23×C418yes—
547C2×D4C23×C4132yes—
548C2×D4C23×C418yes—
549C22×C4—28no—
550C22×C4—24no—
551C22×C4—24no—
552C22×C4—28no—
553C22×C4—82no—
554C22×C4—84no—
555C22×C4C23×C412yes—
556C22×C4C23×C414yes—
557C22×C4C23×C414yes—
558C22×C4C23×C418yes—
559C22×C4C23×C412yes—
560C22×C4C23×C412yes—
561C22×C4C23×C414yes—
562C22×C4C23×C412yes—
563C22×C4C23×C412yes—
564C22×C4C23×C412yes—
565C22×C4C23×C412yes—
566C22×C4C23×C418yes—
567C22×C4C23×C418yes—
568C22×C4C23×C418yes—
569C22×C4C23×C4132yes—
570C22×C4C23×C411yescharacteristic
571C22×C4C23×C411yescharacteristic
572C22×C4C23×C411yescharacteristic
573C22×C4H(5,𝔽2)14yes—
574C22×C42−1+414yes—
575C22×C4C2518yes—
576C22×C4C2514yes—
577C22×C4C2511yescharacteristic
578C22×C4C2511yescharacteristic
579C22×C4C2511yescharacteristic
580M16—24no—
581M16—28no—
582M16—28no—
583M16—28no—
584M16—28no—
585M16—24no—
586M16—24no—
587M16—24no—
588M16—416no—
589M16—416no—
590M16—416no—
591C2×C8—24no—
592C2×C8—24no—
593C2×C8—24no—
594C2×C8—28no—
595C2×C8—28no—
596C2×C8—24no—
597C2×C8—24no—
598C2×C8—24no—
599C2×C8—24no—
600C2×C8—24no—
601C2×C8—416no—
602C2×C8—416no—
603C2×C8—416no—
604C2×C8C2514yes—
605C2×C8C2514yes—
606C2×C8C2514yes—
607C2×C8C2518yes—
608C2×C8C2518yes—
609C2×C8C2514yes—
610C4⋊C4C23×C414yes—
611C4⋊C4C23×C418yes—
612C4⋊C4C23×C418yes—
613C4⋊C4C23×C4116yes—
614C4⋊C4C23×C418yes—
615C4⋊C4C23×C414yes—
616C4⋊C4C23×C418yes—
617C4⋊C4C23×C418yes—
618C4⋊C4C23×C4132yes—
619C4⋊C4C23×C418yes—
620C4⋊C4C23×C418yes—
621C4⋊C4C23×C4116yes—
622C4⋊C4C23×C418yes—
623C4⋊C4C23×C4132yes—
624C22⋊C4C23×C414yes—
625C22⋊C4C23×C418yes—
626C22⋊C4C23×C4116yes—
627C22⋊C4C23×C414yes—
628C22⋊C4C23×C418yes—
629C22⋊C4C23×C418yes—
630C22⋊C4C23×C4132yes—
631C22⋊C4C23×C418yes—
632C22⋊C4C23×C4116yes—
633C22⋊C4C23×C4132yes—
634C22⋊C4C23×C4132yes—
635C42C23×C411yescharacteristic
636C42C23×C411yescharacteristic
637C42C23×C414yes—
638C42C23×C418yes—
639C42C23×C411yescharacteristic
640C42C23×C411yescharacteristic
641C42C23×C412yes—
642C42C23×C412yes—
643C42C23×C418yes—
644C42C23×C412yes—
645C42C23×C412yes—
646C42C23×C4132yes—
647C42C23×C418yes—
648C42C2512yes—
649C42C2518yes—
650C42C2512yes—
651C42C2514yes—
652C23—28no—
653C23—24no—
654C23—42no—
655C23—44no—
656C23—48no—
657C23#52014yes—
658C23C24×C418yes—
659C23C24×C414yes—
660C23C24×C411yescharacteristic
661C23C24×C411yescharacteristic
662C23C24×C411yescharacteristic
663Q8—24no—
664Q8—28no—
665Q8—28no—
666Q8—24no—
667Q8—48no—
668Q8—48no—
669D4—28no—
670D4—216no—
671D4—28no—
672D4—216no—
673D4—24no—
674D4—28no—
675D4—28no—
676D4—24no—
677D4—48no—
678D4—48no—
679D4—432no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—28no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—28no—
686C2×C4—216no—
687C2×C4—28no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—48no—
697C2×C4—48no—
698C2×C4—432no—
699C2×C4#52014yes—
700C2×C4#52014yes—
701C2×C4#52014yes—
702C2×C4C24×C412yes—
703C2×C4C24×C418yes—
704C2×C4C24×C412yes—
705C2×C4C24×C414yes—
706C2×C4C24×C418yes—
707C2×C4C24×C412yes—
708C2×C4C24×C4116yes—
709C2×C4C24×C412yes—
710C2×C4C24×C411yescharacteristic
711C2×C4C24×C411yescharacteristic
712C2×C4C24×C411yescharacteristic
713C2×C4C2×H(5,𝔽2)12yes—
714C2×C4C2×H(5,𝔽2)12yes—
715C2×C4C2×H(5,𝔽2)12yes—
716C2×C4C2×2−1+412yes—
717C2×C4C2×2−1+412yes—
718C2×C4C2×2−1+412yes—
719C2×C4C2611yescharacteristic
720C8—24no—
721C8—28no—
722C8—24no—
723C8—28no—
724C8—24no—
725C8—24no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—28no—
730C22—216no—
731C22—28no—
732C22—24no—
733C22—44no—
734C22—88no—
735C22—84no—
736C22C2×#52012yes—
737C22C2×#52012yes—
738C22C2×#52012yes—
739C22C25×C411yescharacteristic
740C4—22no—
741C4—28no—
742C4—22no—
743C4—22no—
744C4—216no—
745C4—22no—
746C4—28no—
747C4—24no—
748C4C2×#52012yes—
749C4C2×#52012yes—
750C4C2×#52012yes—
751C4C22×H(5,𝔽2)11yescharacteristic
752C4C22×2−1+411yescharacteristic
753C2—22no—
754C2—22no—
755C2—22no—
756C2—44no—
757C2—48no—
758C2C22×#52011yescharacteristic
759C2#6307612yes—
subgroupG/H
center, Frattini, cosocleC2×C4C26
commutator, socleC22C25×C4
prime radical#62815C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ G
LECSG ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #60275C2semidirect
3. #60272C2semidirect
4. #60270C2semidirect
5. #60269C2semidirect
6. #60192C2semidirect
7. C2×#2961C2semidirect
8. #60144C2semidirect
9. #60143C2semidirect
10. #60142C2semidirect
11. C2×#2932C2semidirect
12. #60126C2semidirect
13. C2×#2923C2semidirect
14. #60100C2semidirect
15. #60099C2semidirect
36. #2995C22semidirect
37. #2995C22semidirect
38. #2994C22semidirect
39. #2993C22semidirect
40. #2992C22semidirect
41. #2992C22semidirect
42. #2990C22semidirect
43. #2989C22semidirect
44. Q8×M16C22semidirect
45. #2962C22semidirect
46. #2961C22semidirect
47. #2961C22semidirect
48. #2961C22semidirect
49. #2961C22semidirect
50. #2960C22semidirect
51. C2×#446C22semidirect
52. #2935C22semidirect
53. #2935C22semidirect
54. D4×M16C22semidirect
56. #2933C22semidirect
57. #2933C22semidirect
61. #2932C22semidirect
62. #2932C22semidirect
64. #2931C22semidirect
67. C2×#435C22semidirect
68. #2925C22semidirect
69. #2924C22semidirect
71. #2923C22semidirect
72. #2923C22semidirect
73. #2922C22semidirect
74. C2×#433C22semidirect
75. C2×#432C22semidirect
77. #2906C22semidirect
78. #2906C22semidirect
79. #2906C22semidirect
82. #2905C22semidirect
83. #2905C22semidirect
87. C2×#424C22semidirect
90. C2×#423C22semidirect

Maximal subgroups

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

subgroupindex
#628152
#602752
#602722
#602702
#602692
#601922
C2×#29612
#601442
#601432
#601422
C2×#29322
#601262
C2×#29232
#601002
#600992