Finite Group Databasebeta

← C2×#40927 #7639088

Subgroups — C2×#40927 #7639088

Order 512.

5760 conjugacy classes of subgroups.

The subgroup lattice has 1404 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2764C211yesmaximal, characteristic, complemented
2C2×#2758C211yesmaximal, characteristic, complemented
3C2×#2743C211yesmaximal, characteristic, complemented
4C2×#2738C211yesmaximal, characteristic, complemented
5C2×#2704C211yesmaximal, characteristic, complemented
6C2×#2693C211yesmaximal, characteristic
7C2×#2692C211yesmaximal, characteristic, complemented
8C2×#2687C211yesmaximal, characteristic, complemented
9#40927C2132yesmaximal, direct product factor
10C2×#2841C211yesmaximal, characteristic, complemented
11C2×#2831C211yesmaximal, characteristic, complemented
12C2×#2605C211yesmaximal, characteristic, complemented
13C2×#2572C211yesmaximal, characteristic, complemented
14C2×#2572C211yesmaximal, characteristic, complemented
15C2×#2558C211yesmaximal, characteristic, complemented
16C2×#2532C211yesmaximal, characteristic, complemented
17C2×#2515C211yesmaximal, characteristic, complemented
18C2×#2488C211yesmaximal, characteristic, complemented
19C2×#2438C211yesmaximal, characteristic, complemented
20C2×#2471C211yesmaximal, characteristic
21C2×#2458C211yesmaximal, characteristic, complemented
22C2×#2465C211yesmaximal, characteristic, complemented
23C2×#2409C211yesmaximal, characteristic, complemented
24C2×#2634C211yesmaximal, characteristic, complemented
25C2×#2614C211yesmaximal, characteristic, complemented
26C2×#2666C211yesmaximal, characteristic, complemented
27C2×#2665C211yesmaximal, characteristic, complemented
28C2×#2630C211yesmaximal, characteristic
29C2×#2396C211yesmaximal, characteristic, complemented
30C2×#2353C211yesmaximal, characteristic, complemented
31C2×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
32C2×#2335C211yesmaximal, characteristic, complemented
33C24×Q8C2211yescharacteristic
34C22×#125C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×#117C2211yescharacteristic
46#2841C22116yescomplemented
47#2831C22116yescomplemented
48#2764C22116yescomplemented
49#2758C22116yescomplemented
50#2743C22116yescomplemented
51#2738C22116yescomplemented
52#2704C22116yescomplemented
53#2693C22116yes—
54#2692C22116yescomplemented
55#2687C22116yescomplemented
56#2666C22116yescomplemented
57#2665C22116yescomplemented
58#2634C22116yescomplemented
59#2630C22116yes—
60#2614C22116yescomplemented
61#2605C22116yescomplemented
62#2572C22116yescomplemented
63#2572C22116yescomplemented
64#2558C22116yescomplemented
65#2532C22116yescomplemented
66#2515C22116yescomplemented
67#2488C22116yescomplemented
68#2471C22116yes—
69#2465C22116yescomplemented
70#2458C22116yescomplemented
71#2438C22116yescomplemented
72#2409C22116yescomplemented
73#2396C22116yescomplemented
74C2×#400C2211yescharacteristic
75C2×#400C2211yescharacteristic
76C2×#400C2211yescharacteristic
77C2×#400C2211yescharacteristic
78C2×#400C2211yescharacteristic
79C2×#400C2211yescharacteristic
80C2×#400C2211yescharacteristic
81C2×#400C2211yescharacteristic
82C2×#400C2211yescharacteristic
83C2×#400C2211yescharacteristic
84C2×#400C2211yescharacteristic
85C2×#400C2211yescharacteristic
86C2×#400C2211yescharacteristic
87C2×#399C2211yescharacteristic
88C2×#399C2211yescharacteristic
89C2×#398C2211yescharacteristic
90C2×#398C2211yescharacteristic
91C2×#398C2211yescharacteristic
92C2×#398C2211yescharacteristic
93C2×#398C2211yescharacteristic
94C2×#398C2211yescharacteristic
95C2×#398C2211yescharacteristic
96C2×#398C2211yescharacteristic
97C2×#398C2211yescharacteristic
98C2×#398C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#396C2211yescharacteristic
104C2×#396C2211yescharacteristic
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic
108C2×#396C2211yescharacteristic
109C2×#396C2211yescharacteristic
110C2×#395C2211yescharacteristic
111C2×#395C2211yescharacteristic
112C2×#395C2211yescharacteristic
113C2×#395C2211yescharacteristic
114C2×#395C2211yescharacteristic
115C2×#395C2211yescharacteristic
116C2×#395C2211yescharacteristic
117C2×#395C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#393C2211yescharacteristic
122C2×#393C2211yescharacteristic
123C2×#393C2211yescharacteristic
124C2×#393C2211yescharacteristic
125C2×#393C2211yescharacteristic
126C2×#393C2211yescharacteristic
127C2×#393C2211yescharacteristic
128C2×#393C2211yescharacteristic
129C2×#392C2211yescharacteristic
130#2353C22116yescomplemented
131Q8×C22⋊C4C22116yescomplemented
132#2335C22116yescomplemented
133C2×#391C2211yescharacteristic
134C2×#391C2211yescharacteristic
135C2×#391C2211yescharacteristic
136C2×#391C2211yescharacteristic
137C2×#391C2211yescharacteristic
138C2×#391C2211yescharacteristic
139C2×#391C2211yescharacteristic
140C2×#391C2211yescharacteristic
141C2×#391C2211yescharacteristic
142C2×#391C2211yescharacteristic
143C2×#390C2211yescharacteristic
144C2×#390C2211yescharacteristic
145C2×#389C2211yescharacteristic
146C2×#389C2211yescharacteristic
147C2×#389C2211yescharacteristic
148C2×#388C2211yescharacteristic
149C2×#388C2211yescharacteristic
150C2×#388C2211yescharacteristic
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#387C2211yescharacteristic
163C2×#387C2211yescharacteristic
164C2×#387C2211yescharacteristic
165C2×#387C2211yescharacteristic
166C2×#387C2211yescharacteristic
167C2×#387C2211yescharacteristic
168C2×#387C2211yescharacteristic
169C2×#387C2211yescharacteristic
170C2×#387C2211yescharacteristic
171C2×#387C2211yescharacteristic
172C2×#387C2211yescharacteristic
173C2×#387C2211yescharacteristic
174C2×#387C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#383C2211yescharacteristic
190C2×#383C2211yescharacteristic
191C2×#383C2211yescharacteristic
192C2×#383C2211yescharacteristic
193C2×#383C2211yescharacteristic
194C2×#382C2211yescharacteristic
195C2×#381C2211yescharacteristic
196C2×#381C2211yescharacteristic
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic
199C2×#381C2211yescharacteristic
200C2×#381C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×C4×C4⋊C4C2211yescharacteristic
208C2×C4×C4⋊C4C2211yescharacteristic
209C2×C4×C4⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×#376C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C23×Q8—28no—
220C23×Q8—44no—
221C23×Q8—44no—
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×Q8C2318yes—
226C23×Q8C2311yescharacteristic
227C23×Q8C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C2×#125—44no—
239C2×#125C2318yes—
240C2×#123—28no—
241C2×#123—44no—
242C2×#123—44no—
243C2×#123—44no—
244C2×#123C2318yes—
245C2×#123C2318yes—
246C2×#123C2318yes—
247C2×#123C2318yes—
248C2×C22⋊Q8—44no—
249C2×C22⋊Q8—44no—
250C2×C22⋊Q8—44no—
251C2×C22⋊Q8C2318yes—
252C2×C22⋊Q8C2318yes—
253C2×C22⋊Q8C2318yes—
254C2×C4×Q8—44no—
255C2×C4×Q8—44no—
256C2×C4×Q8C2318yes—
257C2×C4×Q8C2318yes—
258C2×C4×D4—28no—
259C2×C4×D4C2318yes—
260C2×#117—44no—
261C2×#117C2318yes—
262C22×C4⋊C4C2311yescharacteristic
263C22×C4⋊C4C2311yescharacteristic
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335C22×C42C2311yescharacteristic
336C22×C42C2311yescharacteristic
337C22×C42C2311yescharacteristic
338C22×C42C2311yescharacteristic
339C22×C42C2311yescharacteristic
340C22×C42C2311yescharacteristic
341C22×C42C2311yescharacteristic
342#400C2318yes—
343#400C2318yes—
344#400C2318yes—
345#400C2318yes—
346#400C2318yes—
347#400C2318yes—
348#400C2318yes—
349#400C2318yes—
350#400C2318yes—
351#400C2318yes—
352#400C2318yes—
353#400C2318yes—
354#400C2318yes—
355#399C2318yes—
356#399C2318yes—
357#398C2318yes—
358#398C2318yes—
359#398C2318yes—
360#398C2318yes—
361#398C2318yes—
362#398C2318yes—
363#398C2318yes—
364#398C2318yes—
365#398C2318yes—
366#398C2318yes—
367#397C2318yes—
368#397C2318yes—
369#397C2318yes—
370#397C2318yes—
371#396C2318yes—
372#396C2318yes—
373#396C2318yes—
374#396C2318yes—
375#396C2318yes—
376#396C2318yes—
377#396C2318yes—
378#395C2318yes—
379#395C2318yes—
380#395C2318yes—
381#395C2318yes—
382#395C2318yes—
383#395C2318yes—
384#395C2318yes—
385#395C2318yes—
386#394C2318yes—
387#394C2318yes—
388#394C2318yes—
389#393C2318yes—
390#393C2318yes—
391#393C2318yes—
392#393C2318yes—
393#393C2318yes—
394#393C2318yes—
395#393C2318yes—
396#393C2318yes—
397#392C2318yes—
398#391C2318yes—
399#391C2318yes—
400#391C2318yes—
401#391C2318yes—
402#391C2318yes—
403#391C2318yes—
404#391C2318yes—
405#391C2318yes—
406#391C2318yes—
407#391C2318yes—
408#390C2318yes—
409#390C2318yes—
410#389C2318yes—
411#389C2318yes—
412#389C2318yes—
413#388C2318yes—
414#388C2318yes—
415#388C2318yes—
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
421#388C2318yes—
422#388C2318yes—
423#388C2318yes—
424#388C2318yes—
425#388C2318yes—
426#388C2318yes—
427#387C2318yes—
428#387C2318yes—
429#387C2318yes—
430#387C2318yes—
431#387C2318yes—
432#387C2318yes—
433#387C2318yes—
434#387C2318yes—
435#387C2318yes—
436#387C2318yes—
437#387C2318yes—
438#387C2318yes—
439#387C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#385C2318yes—
449#385C2318yes—
450#385C2318yes—
451#385C2318yes—
452#385C2318yes—
453#385C2318yes—
454#383C2318yes—
455#383C2318yes—
456#383C2318yes—
457#383C2318yes—
458#383C2318yes—
459#382C2318yes—
460#381C2318yes—
461#381C2318yes—
462#381C2318yes—
463#381C2318yes—
464#381C2318yes—
465#381C2318yes—
466#380C2318yes—
467#380C2318yes—
468#380C2318yes—
469#380C2318yes—
470#380C2318yes—
471#380C2318yes—
472C4×C4⋊C4C2318yes—
473C4×C4⋊C4C2318yes—
474C4×C4⋊C4C2318yes—
475C4×C22⋊C4C2318yes—
476C4×C22⋊C4C2318yes—
477C4×C22⋊C4C2318yes—
478C4×C22⋊C4C2318yes—
479C4×C22⋊C4C2318yes—
480C4×C22⋊C4C2318yes—
481C4×C22⋊C4C2318yes—
482#376C2318yes—
483C2×#95C2318yes—
484C2×#95C2311yescharacteristic
485C2×#95C2311yescharacteristic
486C2×#95C2311yescharacteristic
487C2×#95C2311yescharacteristic
488C2×#95C2311yescharacteristic
489C2×#95C2311yescharacteristic
490C2×#95C2311yescharacteristic
491C2×#95C2311yescharacteristic
492C2×#95C2311yescharacteristic
493C2×#95C2311yescharacteristic
494C2×#95C2311yescharacteristic
495C2×#95C2311yescharacteristic
496C2×#95C2311yescharacteristic
497C2×#95C2311yescharacteristic
498C2×#95C2311yescharacteristic
499C2×#95C2311yescharacteristic
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
502C2×#95C2311yescharacteristic
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C25C2411yescharacteristic
545C25C2411yescharacteristic
546C25C2411yescharacteristic
547C22×Q8—24no—
548C22×Q8—24no—
549C22×Q8—24no—
550C22×Q8—24no—
551C22×Q8—232no—
552C22×Q8—24no—
553C22×Q8—24no—
554C22×Q8—24no—
555C22×Q8—24no—
556C22×Q8—42no—
557C22×Q8—42no—
558C22×Q8—42no—
559C22×Q8—42no—
560C22×Q8—42no—
561C22×Q8—42no—
562C22×Q8—42no—
563C22×Q8—416no—
564C22×Q8—416no—
565C22×Q8—464no—
566C22×Q8C2414yes—
567C22×Q8C2414yes—
568C22×Q8C2414yes—
569C22×Q8C2414yes—
570C22×Q8C2414yes—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—42no—
576C22×D4—42no—
577C22×D4—42no—
578C22×D4—42no—
579C22×D4—42no—
580C22×D4C2414yes—
581C22×D4C2414yes—
582C22×D4C2414yes—
583C23×C4—24no—
584C23×C4—24no—
585C23×C4—24no—
586C23×C4—24no—
587C23×C4—24no—
588C23×C4—24no—
589C23×C4—24no—
590C23×C4—24no—
591C23×C4—42no—
592C23×C4—42no—
593C23×C4—42no—
594C23×C4—42no—
595C23×C4—42no—
596C23×C4—42no—
597C23×C4—42no—
598C23×C4—42no—
599C23×C4—42no—
600C23×C4—42no—
601C23×C4—42no—
602C23×C4—42no—
603C23×C4#4118yes—
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2411yescharacteristic
611C23×C4C2411yescharacteristic
612C23×C4C2411yescharacteristic
613C23×C4C2411yescharacteristic
614C23×C4C2411yescharacteristic
615C23×C4C2411yescharacteristic
616C23×C4C2411yescharacteristic
617C23×C4C2411yescharacteristic
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2414yes—
628C23×C4C2414yes—
629C23×C4C2414yes—
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2414yes—
636C23×C4C2414yes—
637C23×C4C2414yes—
638C23×C4C2414yes—
639#125—416no—
640#123—232no—
641#123—416no—
642#123—416no—
643#123—416no—
644C22⋊Q8—416no—
645C22⋊Q8—416no—
646C22⋊Q8—416no—
647C4×Q8—416no—
648C4×Q8—416no—
649C4×D4—232no—
650#117—416no—
651C2×C4⋊C4—24no—
652C2×C4⋊C4—24no—
653C2×C4⋊C4—24no—
654C2×C4⋊C4—24no—
655C2×C4⋊C4—24no—
656C2×C4⋊C4—24no—
657C2×C4⋊C4—24no—
658C2×C4⋊C4—24no—
659C2×C4⋊C4—24no—
660C2×C4⋊C4—42no—
661C2×C4⋊C4—42no—
662C2×C4⋊C4—42no—
663C2×C4⋊C4—42no—
664C2×C4⋊C4—42no—
665C2×C4⋊C4—42no—
666C2×C4⋊C4—42no—
667C2×C4⋊C4—42no—
668C2×C4⋊C4—42no—
669C2×C4⋊C4—42no—
670C2×C4⋊C4—42no—
671C2×C4⋊C4—42no—
672C2×C4⋊C4—42no—
673C2×C4⋊C4—42no—
674C2×C4⋊C4—42no—
675C2×C4⋊C4—42no—
676C2×C4⋊C4—42no—
677C2×C4⋊C4—42no—
678C2×C4⋊C4—42no—
679C2×C4⋊C4—42no—
680C2×C4⋊C4—42no—
681C2×C4⋊C4—42no—
682C2×C4⋊C4—42no—
683C2×C4⋊C4—42no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4C2414yes—
688C2×C4⋊C4C2414yes—
689C2×C4⋊C4C2414yes—
690C2×C4⋊C4C2414yes—
691C2×C4⋊C4C2414yes—
692C2×C4⋊C4C2414yes—
693C2×C4⋊C4C2414yes—
694C2×C4⋊C4C2414yes—
695C2×C4⋊C4C2414yes—
696C2×C4⋊C4C2414yes—
697C2×C4⋊C4C2414yes—
698C2×C4⋊C4C2414yes—
699C2×C4⋊C4C2414yes—
700C2×C4⋊C4C2414yes—
701C2×C4⋊C4C2414yes—
702C2×C4⋊C4C2414yes—
703C2×C4⋊C4C2414yes—
704C2×C4⋊C4C2414yes—
705C2×C4⋊C4C2414yes—
706C2×C4⋊C4C2414yes—
707C2×C4⋊C4C2414yes—
708C2×C4⋊C4C2414yes—
709C2×C4⋊C4C2414yes—
710C2×C4⋊C4C2414yes—
711C2×C4⋊C4C2414yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
723C2×C22⋊C4—24no—
724C2×C22⋊C4—24no—
725C2×C22⋊C4—24no—
726C2×C22⋊C4—24no—
727C2×C22⋊C4—24no—
728C2×C22⋊C4—24no—
729C2×C22⋊C4—24no—
730C2×C22⋊C4—24no—
731C2×C22⋊C4—24no—
732C2×C22⋊C4—24no—
733C2×C22⋊C4—24no—
734C2×C22⋊C4—24no—
735C2×C22⋊C4—42no—
736C2×C22⋊C4—42no—
737C2×C22⋊C4—42no—
738C2×C22⋊C4—42no—
739C2×C22⋊C4—42no—
740C2×C22⋊C4—42no—
741C2×C22⋊C4—42no—
742C2×C22⋊C4—42no—
743C2×C22⋊C4—42no—
744C2×C22⋊C4—42no—
745C2×C22⋊C4—42no—
746C2×C22⋊C4—42no—
747C2×C22⋊C4—42no—
748C2×C22⋊C4—42no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4C2414yes—
756C2×C22⋊C4C2414yes—
757C2×C22⋊C4C2414yes—
758C2×C22⋊C4C2414yes—
759C2×C22⋊C4C2414yes—
760C2×C22⋊C4C2414yes—
761C2×C22⋊C4C2414yes—
762C2×C22⋊C4C2414yes—
763C2×C22⋊C4C2414yes—
764C2×C22⋊C4C2414yes—
765C2×C22⋊C4C2414yes—
766C2×C22⋊C4C2414yes—
767C2×C22⋊C4C2414yes—
768C2×C22⋊C4C2414yes—
769C2×C22⋊C4C2414yes—
770C2×C22⋊C4C2414yes—
771C2×C22⋊C4C2414yes—
772C2×C22⋊C4C2414yes—
773C2×C22⋊C4C2414yes—
774C2×C22⋊C4C2414yes—
775C2×C22⋊C4C2414yes—
776C2×C22⋊C4C2414yes—
777C2×C22⋊C4C2414yes—
778C2×C22⋊C4C2414yes—
779C2×C22⋊C4C2414yes—
780C2×C22⋊C4C2414yes—
781C2×C22⋊C4C2414yes—
782C2×C22⋊C4C2414yes—
783C2×C22⋊C4C2414yes—
784C2×C22⋊C4C2414yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C42—24no—
788C2×C42—24no—
789C2×C42—24no—
790C2×C42—24no—
791C2×C42—24no—
792C2×C42—42no—
793C2×C42—42no—
794C2×C42—42no—
795C2×C42—42no—
796C2×C42—42no—
797C2×C42—42no—
798C2×C42—42no—
799C2×C42C2414yes—
800C2×C42C2414yes—
801C2×C42C2414yes—
802C2×C42C2414yes—
803C2×C42C2414yes—
804C2×C42C2414yes—
805C2×C42C2414yes—
806C2×C42C2414yes—
807C2×C42C2414yes—
808C2×C42C2414yes—
809C2×C42C2414yes—
810C2×C42C2414yes—
811#95C2414yes—
812#95C2414yes—
813#95C2414yes—
814#95C2414yes—
815#95C2414yes—
816#95C2414yes—
817#95C2414yes—
818#95C2414yes—
819#95C2414yes—
820#95C2414yes—
821#95C2414yes—
822#95C2414yes—
823#95C2414yes—
824#95C2414yes—
825#95C2414yes—
826#95C2414yes—
827#95C2414yes—
828#95C2414yes—
829#95C2414yes—
830#95C2414yes—
831#95C2414yes—
832#95C2414yes—
833#95C2414yes—
834#95C2414yes—
835#95C2414yes—
836#95C2414yes—
837#95C2414yes—
838#95C2414yes—
839#95C2414yes—
840#95C2414yes—
841#95C2414yes—
842#95C2414yes—
843#95C2414yes—
844#95C2414yes—
845#95C2414yes—
846#95C2414yes—
847#95C2414yes—
848#95C2414yes—
849#95C2414yes—
850#95C2414yes—
851#95C2414yes—
852#95C2414yes—
853#95C2414yes—
854#95C2414yes—
855#95C2414yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871C24—22no—
872C24—22no—
873C24—22no—
874C24—22no—
875C24—22no—
876C24—22no—
877C24—22no—
878C24—22no—
879C24—22no—
880C24—22no—
881C24—22no—
882C24—22no—
883C24—22no—
884C24—22no—
885C24—22no—
886C24—22no—
887C24—22no—
888C24—22no—
889C24—22no—
890C24C2×#4114yes—
891C242−1+414yes—
892C24C2512yes—
893C24C2512yes—
894C24C2512yes—
895C24C2511yescharacteristic
896C2×Q8—232no—
897C2×Q8—28no—
898C2×Q8—28no—
899C2×Q8—28no—
900C2×Q8—28no—
901C2×Q8—28no—
902C2×Q8—28no—
903C2×Q8—28no—
904C2×Q8—28no—
905C2×Q8—44no—
906C2×Q8—44no—
907C2×Q8—44no—
908C2×Q8—44no—
909C2×Q8—44no—
910C2×Q8—44no—
911C2×Q8—44no—
912C2×Q8—416no—
913C2×Q8—416no—
914C2×Q8—416no—
915C2×Q8—4128no—
916C2×Q8—88no—
917C2×D4—28no—
918C2×D4—28no—
919C2×D4—28no—
920C2×D4—28no—
921C2×D4—44no—
922C2×D4—44no—
923C2×D4—44no—
924C2×D4—44no—
925C2×D4—44no—
926C2×D4—416no—
927C2×D4—88no—
928C2×D4—88no—
929C22×C4—22no—
930C22×C4—22no—
931C22×C4—22no—
932C22×C4—22no—
933C22×C4—22no—
934C22×C4—22no—
935C22×C4—22no—
936C22×C4—22no—
937C22×C4—22no—
938C22×C4—22no—
939C22×C4—22no—
940C22×C4—22no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—22no—
945C22×C4—28no—
946C22×C4—28no—
947C22×C4—22no—
948C22×C4—22no—
949C22×C4—22no—
950C22×C4—22no—
951C22×C4—22no—
952C22×C4—22no—
953C22×C4—22no—
954C22×C4—22no—
955C22×C4—22no—
956C22×C4—22no—
957C22×C4—22no—
958C22×C4—22no—
959C22×C4—22no—
960C22×C4—22no—
961C22×C4—22no—
962C22×C4—22no—
963C22×C4—22no—
964C22×C4—22no—
965C22×C4—22no—
966C22×C4—22no—
967C22×C4—22no—
968C22×C4—22no—
969C22×C4—22no—
970C22×C4—22no—
971C22×C4—22no—
972C22×C4—22no—
973C22×C4—22no—
974C22×C4—22no—
975C22×C4—22no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—28no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—22no—
985C22×C4—22no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—22no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—28no—
1012C22×C4—28no—
1013C22×C4—28no—
1014C22×C4—28no—
1015C22×C4—28no—
1016C22×C4—44no—
1017C22×C4—416no—
1018C22×C4—44no—
1019C22×C4—44no—
1020C22×C4—44no—
1021C22×C4—44no—
1022C22×C4—44no—
1023C22×C4—44no—
1024C22×C4—44no—
1025C22×C4—44no—
1026C22×C4—44no—
1027C22×C4—44no—
1028C22×C4—44no—
1029C22×C4—416no—
1030C22×C4—416no—
1031C22×C4—416no—
1032C22×C4—88no—
1033C22×C4—88no—
1034C22×C4—88no—
1035C22×C4C2×#4114yes—
1036C22×C4C2×#4114yes—
1037C22×C4C2×#41116yes—
1038C22×C4H(5,𝔽2)14yes—
1039C22×C4H(5,𝔽2)14yes—
1040C22×C42−1+414yes—
1041C22×C4C2512yes—
1042C22×C4C2512yes—
1043C22×C4C2512yes—
1044C22×C4C2512yes—
1045C22×C4C2512yes—
1046C22×C4C2512yes—
1047C22×C4C2512yes—
1048C22×C4C2512yes—
1049C22×C4C2512yes—
1050C22×C4C2512yes—
1051C22×C4C2512yes—
1052C22×C4C2512yes—
1053C22×C4C2512yes—
1054C22×C4C2512yes—
1055C22×C4C2512yes—
1056C22×C4C2512yes—
1057C22×C4C2512yes—
1058C22×C4C2512yes—
1059C22×C4C2512yes—
1060C22×C4C2512yes—
1061C22×C4C2512yes—
1062C22×C4C2512yes—
1063C22×C4C2512yes—
1064C22×C4C2512yes—
1065C22×C4C2512yes—
1066C22×C4C2512yes—
1067C22×C4C2512yes—
1068C22×C4C2512yes—
1069C4⋊C4—28no—
1070C4⋊C4—28no—
1071C4⋊C4—28no—
1072C4⋊C4—28no—
1073C4⋊C4—28no—
1074C4⋊C4—28no—
1075C4⋊C4—28no—
1076C4⋊C4—28no—
1077C4⋊C4—28no—
1078C4⋊C4—44no—
1079C4⋊C4—44no—
1080C4⋊C4—44no—
1081C4⋊C4—44no—
1082C4⋊C4—44no—
1083C4⋊C4—44no—
1084C4⋊C4—44no—
1085C4⋊C4—44no—
1086C4⋊C4—44no—
1087C4⋊C4—44no—
1088C4⋊C4—44no—
1089C4⋊C4—44no—
1090C4⋊C4—44no—
1091C4⋊C4—44no—
1092C4⋊C4—44no—
1093C4⋊C4—44no—
1094C4⋊C4—44no—
1095C4⋊C4—44no—
1096C4⋊C4—44no—
1097C4⋊C4—44no—
1098C4⋊C4—44no—
1099C4⋊C4—44no—
1100C4⋊C4—44no—
1101C4⋊C4—44no—
1102C4⋊C4—44no—
1103C4⋊C4—44no—
1104C4⋊C4—44no—
1105C22⋊C4—28no—
1106C22⋊C4—28no—
1107C22⋊C4—28no—
1108C22⋊C4—28no—
1109C22⋊C4—28no—
1110C22⋊C4—28no—
1111C22⋊C4—28no—
1112C22⋊C4—28no—
1113C22⋊C4—28no—
1114C22⋊C4—28no—
1115C22⋊C4—28no—
1116C22⋊C4—28no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C22⋊C4—44no—
1126C22⋊C4—44no—
1127C22⋊C4—44no—
1128C22⋊C4—44no—
1129C22⋊C4—44no—
1130C22⋊C4—44no—
1131C22⋊C4—44no—
1132C22⋊C4—44no—
1133C22⋊C4—44no—
1134C22⋊C4—44no—
1135C22⋊C4—44no—
1136C22⋊C4—44no—
1137C42—28no—
1138C42—28no—
1139C42—28no—
1140C42—28no—
1141C42—28no—
1142C42—44no—
1143C42—44no—
1144C42—44no—
1145C42—44no—
1146C42—44no—
1147C42—44no—
1148C42—44no—
1149C23—22no—
1150C23—22no—
1151C23—22no—
1152C23—22no—
1153C23—22no—
1154C23—22no—
1155C23—22no—
1156C23—22no—
1157C23—22no—
1158C23—22no—
1159C23—22no—
1160C23—22no—
1161C23—28no—
1162C23—28no—
1163C23—28no—
1164C23—28no—
1165C23—28no—
1166C23—28no—
1167C23—22no—
1168C23—22no—
1169C23—22no—
1170C23—22no—
1171C23—22no—
1172C23—22no—
1173C23—22no—
1174C23—44no—
1175C23—44no—
1176C23—44no—
1177C23—44no—
1178C23—44no—
1179C23—44no—
1180C23—44no—
1181C23—44no—
1182C23—44no—
1183C23—44no—
1184C23—44no—
1185C23—44no—
1186C23—44no—
1187C23—44no—
1188C23—44no—
1189C23C22×#4114yes—
1190C23C22×#4112yes—
1191C23C2×H(5,𝔽2)12yes—
1192C23C2×H(5,𝔽2)12yes—
1193C23C2×2−1+414yes—
1194C23C2×2−1+412yes—
1195C23C2×2−1+412yes—
1196C23#58512yes—
1197C23#58512yes—
1198C23C2611yescharacteristic
1199Q8—232no—
1200Q8—416no—
1201Q8—416no—
1202Q8—416no—
1203Q8—88no—
1204D4—416no—
1205D4—88no—
1206D4—88no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—28no—
1218C2×C4—28no—
1219C2×C4—28no—
1220C2×C4—28no—
1221C2×C4—28no—
1222C2×C4—22no—
1223C2×C4—22no—
1224C2×C4—22no—
1225C2×C4—22no—
1226C2×C4—22no—
1227C2×C4—22no—
1228C2×C4—22no—
1229C2×C4—22no—
1230C2×C4—22no—
1231C2×C4—22no—
1232C2×C4—22no—
1233C2×C4—22no—
1234C2×C4—22no—
1235C2×C4—22no—
1236C2×C4—22no—
1237C2×C4—22no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—22no—
1281C2×C4—22no—
1282C2×C4—22no—
1283C2×C4—22no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—22no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—416no—
1292C2×C4—416no—
1293C2×C4—416no—
1294C2×C4—416no—
1295C2×C4—44no—
1296C2×C4—44no—
1297C2×C4—44no—
1298C2×C4—44no—
1299C2×C4—44no—
1300C2×C4—44no—
1301C2×C4—44no—
1302C2×C4—44no—
1303C2×C4—44no—
1304C2×C4—44no—
1305C2×C4—44no—
1306C2×C4—44no—
1307C2×C4—44no—
1308C2×C4—44no—
1309C2×C4—44no—
1310C2×C4—44no—
1311C2×C4—44no—
1312C2×C4—44no—
1313C2×C4—44no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—88no—
1319C2×C4—88no—
1320C2×C4—88no—
1321C2×C4C22×#4114yes—
1322C2×C4C22×#4114yes—
1323C2×C4C2×H(5,𝔽2)14yes—
1324C2×C4C2×H(5,𝔽2)14yes—
1325C2×C4C2×2−1+414yes—
1326C22—24no—
1327C22—24no—
1328C22—24no—
1329C22—24no—
1330C22—24no—
1331C22—24no—
1332C22—42no—
1333C22—42no—
1334C22—42no—
1335C22—42no—
1336C22—42no—
1337C22—42no—
1338C22—42no—
1339C22—42no—
1340C22—416no—
1341C22—416no—
1342C22—42no—
1343C22—42no—
1344C22—42no—
1345C22—42no—
1346C22—42no—
1347C22—42no—
1348C22—42no—
1349C22—88no—
1350C22#346114yes—
1351C22#349014yes—
1352C22#349514yes—
1353C22#353814yes—
1354C22#354714yes—
1355C22#356114yes—
1356C22#356214yes—
1357C22C23×#4111yescharacteristic
1358C22C22×H(5,𝔽2)11yescharacteristic
1359C22C22×H(5,𝔽2)11yescharacteristic
1360C22C22×2−1+411yescharacteristic
1361C22C22×2−1+411yescharacteristic
1362C22C2×#58511yescharacteristic
1363C22C2×#58511yescharacteristic
1364C4—24no—
1365C4—24no—
1366C4—24no—
1367C4—24no—
1368C4—24no—
1369C4—42no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—42no—
1378C4—42no—
1379C4—42no—
1380C4—42no—
1381C4—42no—
1382C4—42no—
1383C4—42no—
1384C4—42no—
1385C4—42no—
1386C4—42no—
1387C4—42no—
1388C4—42no—
1389C4—42no—
1390C4—42no—
1391C4—42no—
1392C2—44no—
1393C2—44no—
1394C2—82no—
1395C2#4092718yesdirect product factor
1396C2C2×#346111yescharacteristic
1397C2C2×#353811yescharacteristic
1398C2C2×#356111yescharacteristic
1399C2C2×#356211yescharacteristic
1400C2C2×#354711yescharacteristic
1401C2C2×#349011yescharacteristic
1402C2C2×#349511yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#392C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2764C2semidirect
2. C2×#2758C2semidirect
3. C2×#2743C2semidirect
4. C2×#2738C2semidirect
5. C2×#2704C2semidirect
7. C2×#2692C2semidirect
8. C2×#2687C2semidirect
9. #40927C2direct (N × H)
10. C2×#2841C2semidirect
11. C2×#2831C2semidirect
12. C2×#2605C2semidirect
13. C2×#2572C2semidirect
14. C2×#2572C2semidirect
15. C2×#2558C2semidirect
16. C2×#2532C2semidirect
17. C2×#2515C2semidirect
18. C2×#2488C2semidirect
19. C2×#2438C2semidirect
21. C2×#2458C2semidirect
22. C2×#2465C2semidirect
23. C2×#2409C2semidirect
24. C2×#2634C2semidirect
25. C2×#2614C2semidirect
26. C2×#2666C2semidirect
27. C2×#2665C2semidirect
29. C2×#2396C2semidirect
30. C2×#2353C2semidirect
31. C2×Q8×C22⋊C4C2semidirect
32. C2×#2335C2semidirect
46. #2841C22semidirect
47. #2831C22semidirect
48. #2764C22semidirect
49. #2758C22semidirect
50. #2743C22semidirect
51. #2738C22semidirect
52. #2704C22semidirect
54. #2692C22semidirect
55. #2687C22semidirect
56. #2666C22semidirect
57. #2665C22semidirect
58. #2634C22semidirect
60. #2614C22semidirect
61. #2605C22semidirect
62. #2572C22semidirect
63. #2572C22semidirect
64. #2558C22semidirect
65. #2532C22semidirect
66. #2515C22semidirect
67. #2488C22semidirect
69. #2465C22semidirect
70. #2458C22semidirect
71. #2438C22semidirect
72. #2409C22semidirect
73. #2396C22semidirect
130. #2353C22semidirect
131. Q8×C22⋊C4C22semidirect
132. #2335C22semidirect
1395. C2#40927direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27642
C2×#27582
C2×#27432
C2×#27382
C2×#27042
C2×#26932
C2×#26922
C2×#26872
#409272
C2×#28412
C2×#28312
C2×#26052
C2×#25722
C2×#25582
C2×#25322
C2×#25152
C2×#24882
C2×#24382
C2×#24712
C2×#24582
C2×#24652
C2×#24092
C2×#26342
C2×#26142
C2×#26662
C2×#26652
C2×#26302
C2×#23962
C2×#23532
C2×Q8×C22⋊C42
C2×#23352