Finite Group Databasebeta

← C2×#42084 #7640421

Subgroups — C2×#42084 #7640421

Order 512.

5300 conjugacy classes of subgroups.

The subgroup lattice has 1390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2795C211yesmaximal, characteristic, complemented
2C2×#2772C211yesmaximal, characteristic, complemented
3C2×#2755C211yesmaximal, characteristic, complemented
4C2×#2731C211yesmaximal, characteristic, complemented
5C2×#2725C211yesmaximal, characteristic, complemented
6C2×#2723C211yesmaximal, characteristic, complemented
7C2×#2704C211yesmaximal, characteristic, complemented
8C2×#2672C211yesmaximal, characteristic
9#42084C2132yesmaximal, direct product factor
10C2×#2820C211yesmaximal, characteristic, complemented
11C2×#2837C211yesmaximal, characteristic, complemented
12C2×#2611C211yesmaximal, characteristic, complemented
13C2×#2605C211yesmaximal, characteristic, complemented
14C2×#2558C211yesmaximal, characteristic, complemented
15C2×#2556C211yesmaximal, characteristic, complemented
16C2×#2531C211yesmaximal, characteristic, complemented
17C2×#2525C211yesmaximal, characteristic, complemented
18C2×#2521C211yesmaximal, characteristic, complemented
19C2×#2518C211yesmaximal, characteristic, complemented
20C2×#2441C211yesmaximal, characteristic, complemented
21C2×#2476C211yesmaximal, characteristic
22C2×#2429C211yesmaximal, characteristic, complemented
23C2×#2465C211yesmaximal, characteristic, complemented
24C2×#2660C211yesmaximal, characteristic, complemented
25C2×#2620C211yesmaximal, characteristic
26C2×#2654C211yesmaximal, characteristic, complemented
27C2×#2651C211yesmaximal, characteristic, complemented
28C2×#2663C211yesmaximal, characteristic, complemented
29C2×#2396C211yesmaximal, characteristic, complemented
30C2×#2372C211yesmaximal, characteristic, complemented
31C2×#2346C211yesmaximal, characteristic, complemented
32C2×#2330C211yesmaximal, characteristic, complemented
33C22×C4⋊Q8C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#125C2211yescharacteristic
36C22×#125C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×C4×Q8C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2837C22116yescomplemented
49#2820C22116yescomplemented
50#2795C22116yescomplemented
51#2772C22116yescomplemented
52#2755C22116yescomplemented
53#2731C22116yescomplemented
54#2725C22116yescomplemented
55#2723C22116yescomplemented
56#2704C22116yescomplemented
57#2672C22116yes—
58#2663C22116yescomplemented
59#2660C22116yescomplemented
60#2654C22116yescomplemented
61#2651C22116yescomplemented
62#2620C22116yes—
63#2611C22116yescomplemented
64#2605C22116yescomplemented
65#2558C22116yescomplemented
66#2556C22116yescomplemented
67#2531C22116yescomplemented
68#2525C22116yescomplemented
69#2521C22116yescomplemented
70#2518C22116yescomplemented
71#2476C22116yes—
72#2465C22116yescomplemented
73#2441C22116yescomplemented
74#2429C22116yescomplemented
75#2396C22116yescomplemented
76C2×#400C2211yescharacteristic
77C2×#400C2211yescharacteristic
78C2×#400C2211yescharacteristic
79C2×#400C2211yescharacteristic
80C2×#400C2211yescharacteristic
81C2×#399C2211yescharacteristic
82C2×#399C2211yescharacteristic
83C2×#399C2211yescharacteristic
84C2×#399C2211yescharacteristic
85C2×#399C2211yescharacteristic
86C2×#398C2211yescharacteristic
87C2×#398C2211yescharacteristic
88C2×#398C2211yescharacteristic
89C2×#398C2211yescharacteristic
90C2×#398C2211yescharacteristic
91C2×#398C2211yescharacteristic
92C2×#398C2211yescharacteristic
93C2×#398C2211yescharacteristic
94C2×#398C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#396C2211yescharacteristic
103C2×#396C2211yescharacteristic
104C2×#396C2211yescharacteristic
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic
108C2×#396C2211yescharacteristic
109C2×#396C2211yescharacteristic
110C2×#396C2211yescharacteristic
111C2×#396C2211yescharacteristic
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic
114C2×#395C2211yescharacteristic
115C2×#395C2211yescharacteristic
116C2×#395C2211yescharacteristic
117C2×#395C2211yescharacteristic
118C2×#395C2211yescharacteristic
119C2×#395C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#393C2211yescharacteristic
131C2×#393C2211yescharacteristic
132#2372C22116yescomplemented
133#2346C22116yescomplemented
134#2330C22116yescomplemented
135C2×#391C2211yescharacteristic
136C2×#391C2211yescharacteristic
137C2×#391C2211yescharacteristic
138C2×#391C2211yescharacteristic
139C2×#391C2211yescharacteristic
140C2×#390C2211yescharacteristic
141C2×#390C2211yescharacteristic
142C2×#389C2211yescharacteristic
143C2×#389C2211yescharacteristic
144C2×#389C2211yescharacteristic
145C2×#389C2211yescharacteristic
146C2×#389C2211yescharacteristic
147C2×#389C2211yescharacteristic
148C2×#389C2211yescharacteristic
149C2×#389C2211yescharacteristic
150C2×#389C2211yescharacteristic
151C2×#389C2211yescharacteristic
152C2×#389C2211yescharacteristic
153C2×#389C2211yescharacteristic
154C2×#389C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#387C2211yescharacteristic
179C2×#387C2211yescharacteristic
180C2×#387C2211yescharacteristic
181C2×#387C2211yescharacteristic
182C2×#387C2211yescharacteristic
183C2×#387C2211yescharacteristic
184C2×#387C2211yescharacteristic
185C2×#387C2211yescharacteristic
186C2×#387C2211yescharacteristic
187C2×#387C2211yescharacteristic
188C2×#387C2211yescharacteristic
189C2×#387C2211yescharacteristic
190C2×#387C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#384C2211yescharacteristic
198C2×#384C2211yescharacteristic
199C2×#383C2211yescharacteristic
200C2×#382C2211yescharacteristic
201C2×#382C2211yescharacteristic
202C2×#382C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×C4×C4⋊C4C2211yescharacteristic
206C2×C4×C4⋊C4C2211yescharacteristic
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×#376C2211yescharacteristic
217C2×#376C2211yescharacteristic
218C2×#376C2211yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C24×C4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C2×C4⋊Q8—44no—
229C2×C4⋊Q8C2318yes—
230C2×#126—44no—
231C2×#126C2318yes—
232C2×#125—28no—
233C2×#125—44no—
234C2×#125—44no—
235C2×#125C2318yes—
236C2×#125C2318yes—
237C2×#125C2318yes—
238C2×#124—28no—
239C2×#124—44no—
240C2×#124C2318yes—
241C2×#124C2318yes—
242C2×#123—44no—
243C2×#123C2318yes—
244C2×C22⋊Q8—44no—
245C2×C22⋊Q8—44no—
246C2×C22⋊Q8—44no—
247C2×C22⋊Q8C2318yes—
248C2×C22⋊Q8C2318yes—
249C2×C22⋊Q8C2318yes—
250C2×#121—44no—
251C2×#121C2318yes—
252C2×C4×Q8—44no—
253C2×C4×Q8C2318yes—
254C2×#117—28no—
255C2×#117—44no—
256C2×#117C2318yes—
257C2×#117C2318yes—
258C22×C4⋊C4C2311yescharacteristic
259C22×C4⋊C4C2311yescharacteristic
260C22×C4⋊C4C2311yescharacteristic
261C22×C4⋊C4C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊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×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C42C2311yescharacteristic
341C22×C42C2311yescharacteristic
342C22×C42C2311yescharacteristic
343C22×C42C2311yescharacteristic
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356#400C2318yes—
357#400C2318yes—
358#400C2318yes—
359#400C2318yes—
360#400C2318yes—
361#399C2318yes—
362#399C2318yes—
363#399C2318yes—
364#399C2318yes—
365#399C2318yes—
366#398C2318yes—
367#398C2318yes—
368#398C2318yes—
369#398C2318yes—
370#398C2318yes—
371#398C2318yes—
372#398C2318yes—
373#398C2318yes—
374#398C2318yes—
375#397C2318yes—
376#397C2318yes—
377#397C2318yes—
378#397C2318yes—
379#397C2318yes—
380#397C2318yes—
381#397C2318yes—
382#396C2318yes—
383#396C2318yes—
384#396C2318yes—
385#396C2318yes—
386#396C2318yes—
387#396C2318yes—
388#396C2318yes—
389#396C2318yes—
390#396C2318yes—
391#396C2318yes—
392#396C2318yes—
393#396C2318yes—
394#395C2318yes—
395#395C2318yes—
396#395C2318yes—
397#395C2318yes—
398#395C2318yes—
399#395C2318yes—
400#394C2318yes—
401#394C2318yes—
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#393C2318yes—
411#393C2318yes—
412#391C2318yes—
413#391C2318yes—
414#391C2318yes—
415#391C2318yes—
416#391C2318yes—
417#390C2318yes—
418#390C2318yes—
419#389C2318yes—
420#389C2318yes—
421#389C2318yes—
422#389C2318yes—
423#389C2318yes—
424#389C2318yes—
425#389C2318yes—
426#389C2318yes—
427#389C2318yes—
428#389C2318yes—
429#389C2318yes—
430#389C2318yes—
431#389C2318yes—
432#388C2318yes—
433#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yes—
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yes—
442#388C2318yes—
443#388C2318yes—
444#388C2318yes—
445#388C2318yes—
446#388C2318yes—
447#388C2318yes—
448#388C2318yes—
449#388C2318yes—
450#388C2318yes—
451#388C2318yes—
452#388C2318yes—
453#388C2318yes—
454#388C2318yes—
455#387C2318yes—
456#387C2318yes—
457#387C2318yes—
458#387C2318yes—
459#387C2318yes—
460#387C2318yes—
461#387C2318yes—
462#387C2318yes—
463#387C2318yes—
464#387C2318yes—
465#387C2318yes—
466#387C2318yes—
467#387C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#385C2318yes—
472#385C2318yes—
473#385C2318yes—
474#384C2318yes—
475#384C2318yes—
476#383C2318yes—
477#382C2318yes—
478#382C2318yes—
479#382C2318yes—
480#380C2318yes—
481#380C2318yes—
482C4×C4⋊C4C2318yes—
483C4×C4⋊C4C2318yes—
484C4×C4⋊C4C2318yes—
485C4×C4⋊C4C2318yes—
486C4×C4⋊C4C2318yes—
487C4×C22⋊C4C2318yes—
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493#376C2318yes—
494#376C2318yes—
495#376C2318yes—
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—42no—
551C22×Q8—42no—
552C22×Q8—42no—
553C22×Q8—42no—
554C22×Q8—42no—
555C22×Q8—42no—
556C22×Q8C2414yes—
557C22×Q8C2414yes—
558C22×Q8C2414yes—
559C22×D4—24no—
560C22×D4—42no—
561C22×D4—42no—
562C22×D4—42no—
563C22×D4—42no—
564C22×D4—42no—
565C22×D4—42no—
566C22×D4—42no—
567C22×D4—42no—
568C22×D4C2414yes—
569C22×D4C2414yes—
570C22×D4C2414yes—
571C23×C4—24no—
572C23×C4—24no—
573C23×C4—24no—
574C23×C4—24no—
575C23×C4—24no—
576C23×C4—42no—
577C23×C4—42no—
578C23×C4—42no—
579C23×C4—42no—
580C23×C4C2411yescharacteristic
581C23×C4C2411yescharacteristic
582C23×C4C2411yescharacteristic
583C23×C4C2411yescharacteristic
584C23×C4C2411yescharacteristic
585C23×C4C2411yescharacteristic
586C23×C4C2411yescharacteristic
587C23×C4C2411yescharacteristic
588C23×C4C2411yescharacteristic
589C23×C4C2411yescharacteristic
590C23×C4C2411yescharacteristic
591C23×C4C2411yescharacteristic
592C23×C4C2411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C23×C4C2411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600C23×C4C2411yescharacteristic
601C23×C4C2414yes—
602C23×C4C2414yes—
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609C23×C4C2411yescharacteristic
610C23×C4C2414yes—
611C4⋊Q8—416no—
612#126—416no—
613#125—232no—
614#125—416no—
615#125—416no—
616#124—232no—
617#124—416no—
618#123—416no—
619C22⋊Q8—416no—
620C22⋊Q8—416no—
621C22⋊Q8—416no—
622#121—416no—
623C4×Q8—416no—
624#117—232no—
625#117—416no—
626C2×C4⋊C4—24no—
627C2×C4⋊C4—24no—
628C2×C4⋊C4—24no—
629C2×C4⋊C4—24no—
630C2×C4⋊C4—24no—
631C2×C4⋊C4—24no—
632C2×C4⋊C4—24no—
633C2×C4⋊C4—24no—
634C2×C4⋊C4—24no—
635C2×C4⋊C4—24no—
636C2×C4⋊C4—24no—
637C2×C4⋊C4—24no—
638C2×C4⋊C4—24no—
639C2×C4⋊C4—24no—
640C2×C4⋊C4—24no—
641C2×C4⋊C4—24no—
642C2×C4⋊C4—24no—
643C2×C4⋊C4—42no—
644C2×C4⋊C4—42no—
645C2×C4⋊C4—42no—
646C2×C4⋊C4—42no—
647C2×C4⋊C4—42no—
648C2×C4⋊C4—42no—
649C2×C4⋊C4—42no—
650C2×C4⋊C4—42no—
651C2×C4⋊C4—42no—
652C2×C4⋊C4—42no—
653C2×C4⋊C4—42no—
654C2×C4⋊C4—42no—
655C2×C4⋊C4—42no—
656C2×C4⋊C4—42no—
657C2×C4⋊C4—42no—
658C2×C4⋊C4—42no—
659C2×C4⋊C4—42no—
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⋊C4C2414yes—
673C2×C4⋊C4C2414yes—
674C2×C4⋊C4C2414yes—
675C2×C4⋊C4C2414yes—
676C2×C4⋊C4C2414yes—
677C2×C4⋊C4C2414yes—
678C2×C4⋊C4C2414yes—
679C2×C4⋊C4C2414yes—
680C2×C4⋊C4C2414yes—
681C2×C4⋊C4C2414yes—
682C2×C4⋊C4C2414yes—
683C2×C4⋊C4C2414yes—
684C2×C4⋊C4C2414yes—
685C2×C4⋊C4C2414yes—
686C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
719C2×C22⋊C4—24no—
720C2×C22⋊C4—24no—
721C2×C22⋊C4—24no—
722C2×C22⋊C4—24no—
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—42no—
733C2×C22⋊C4—42no—
734C2×C22⋊C4—42no—
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⋊C4C2414yes—
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×C22⋊C4C2414yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2414yes—
790C2×C42—24no—
791C2×C42—24no—
792C2×C42—24no—
793C2×C42—24no—
794C2×C42—24no—
795C2×C42—24no—
796C2×C42—42no—
797C2×C42—42no—
798C2×C42—42no—
799C2×C42—42no—
800C2×C42—42no—
801C2×C42—42no—
802C2×C42—42no—
803C2×C42—42no—
804C2×C42—42no—
805C2×C42#4118yes—
806C2×C42C2414yes—
807C2×C42C2414yes—
808C2×C42C2414yes—
809C2×C42C2414yes—
810C2×C42C2414yes—
811C2×C42C2414yes—
812C2×C42C2414yes—
813C2×C42C2414yes—
814C2×C42C2414yes—
815C2×C42C2414yes—
816C2×C42C2414yes—
817C2×C42C2414yes—
818C2×C42C2414yes—
819C2×C42C2414yes—
820C2×C42C2414yes—
821C2×C42C2414yes—
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—
870C24—22no—
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—
890C24—22no—
891C24C2512yes—
892C24C2512yes—
893C24C2512yes—
894C24C2511yescharacteristic
895C2×Q8—28no—
896C2×Q8—28no—
897C2×Q8—28no—
898C2×Q8—44no—
899C2×Q8—44no—
900C2×Q8—44no—
901C2×Q8—44no—
902C2×Q8—44no—
903C2×Q8—44no—
904C2×Q8—416no—
905C2×Q8—88no—
906C2×Q8—88no—
907C2×D4—28no—
908C2×D4—44no—
909C2×D4—44no—
910C2×D4—44no—
911C2×D4—44no—
912C2×D4—44no—
913C2×D4—44no—
914C2×D4—44no—
915C2×D4—44no—
916C2×D4—88no—
917C2×D4—88no—
918C2×D4—88no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
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—22no—
946C22×C4—22no—
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—22no—
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—28no—
997C22×C4—28no—
998C22×C4—28no—
999C22×C4—28no—
1000C22×C4—28no—
1001C22×C4—44no—
1002C22×C4—44no—
1003C22×C4—416no—
1004C22×C4—416no—
1005C22×C4—44no—
1006C22×C4—44no—
1007C22×C4—88no—
1008C22×C4C2×#4114yes—
1009C22×C4C2×#4114yes—
1010C22×C4C2×#4114yes—
1011C22×C4H(5,𝔽2)14yes—
1012C22×C4H(5,𝔽2)14yes—
1013C22×C42−1+414yes—
1014C22×C42−1+414yes—
1015C22×C4C2512yes—
1016C22×C4C2512yes—
1017C22×C4C2512yes—
1018C22×C4C2512yes—
1019C22×C4C2512yes—
1020C22×C4C2512yes—
1021C22×C4C2512yes—
1022C22×C4C2512yes—
1023C22×C4C2512yes—
1024C22×C4C2512yes—
1025C22×C4C2512yes—
1026C22×C4C2512yes—
1027C22×C4C2512yes—
1028C22×C4C2512yes—
1029C22×C4C2512yes—
1030C22×C4C2512yes—
1031C22×C4C2512yes—
1032C22×C4C2512yes—
1033C22×C4C2512yes—
1034C22×C4C2512yes—
1035C22×C4C2512yes—
1036C22×C4C2512yes—
1037C22×C4C2512yes—
1038C22×C4C2512yes—
1039C22×C4C2512yes—
1040C22×C4C2512yes—
1041C22×C4C2512yes—
1042C22×C4C2512yes—
1043C4⋊C4—28no—
1044C4⋊C4—28no—
1045C4⋊C4—28no—
1046C4⋊C4—28no—
1047C4⋊C4—28no—
1048C4⋊C4—28no—
1049C4⋊C4—28no—
1050C4⋊C4—28no—
1051C4⋊C4—28no—
1052C4⋊C4—28no—
1053C4⋊C4—28no—
1054C4⋊C4—28no—
1055C4⋊C4—28no—
1056C4⋊C4—28no—
1057C4⋊C4—28no—
1058C4⋊C4—28no—
1059C4⋊C4—28no—
1060C4⋊C4—44no—
1061C4⋊C4—44no—
1062C4⋊C4—44no—
1063C4⋊C4—44no—
1064C4⋊C4—44no—
1065C4⋊C4—44no—
1066C4⋊C4—44no—
1067C4⋊C4—44no—
1068C4⋊C4—44no—
1069C4⋊C4—44no—
1070C4⋊C4—44no—
1071C4⋊C4—44no—
1072C4⋊C4—44no—
1073C4⋊C4—44no—
1074C4⋊C4—44no—
1075C4⋊C4—44no—
1076C4⋊C4—44no—
1077C4⋊C4—44no—
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—
1089C22⋊C4—28no—
1090C22⋊C4—28no—
1091C22⋊C4—28no—
1092C22⋊C4—28no—
1093C22⋊C4—28no—
1094C22⋊C4—28no—
1095C22⋊C4—28no—
1096C22⋊C4—28no—
1097C22⋊C4—28no—
1098C22⋊C4—28no—
1099C22⋊C4—28no—
1100C22⋊C4—28no—
1101C22⋊C4—28no—
1102C22⋊C4—28no—
1103C22⋊C4—44no—
1104C22⋊C4—44no—
1105C22⋊C4—44no—
1106C22⋊C4—44no—
1107C22⋊C4—44no—
1108C22⋊C4—44no—
1109C22⋊C4—44no—
1110C22⋊C4—44no—
1111C22⋊C4—44no—
1112C22⋊C4—44no—
1113C22⋊C4—44no—
1114C22⋊C4—44no—
1115C22⋊C4—44no—
1116C22⋊C4—44no—
1117C22⋊C4—44no—
1118C22⋊C4—44no—
1119C22⋊C4—44no—
1120C22⋊C4—44no—
1121C22⋊C4—44no—
1122C22⋊C4—44no—
1123C22⋊C4—44no—
1124C22⋊C4—44no—
1125C42—28no—
1126C42—28no—
1127C42—28no—
1128C42—28no—
1129C42—28no—
1130C42—28no—
1131C42—44no—
1132C42—44no—
1133C42—44no—
1134C42—44no—
1135C42—44no—
1136C42—44no—
1137C42—44no—
1138C42—44no—
1139C42—44no—
1140C42C2×#41116yes—
1141C23—22no—
1142C23—22no—
1143C23—22no—
1144C23—22no—
1145C23—22no—
1146C23—22no—
1147C23—22no—
1148C23—22no—
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—22no—
1162C23—44no—
1163C23—44no—
1164C23—44no—
1165C23—44no—
1166C23—44no—
1167C23—44no—
1168C23—44no—
1169C23—44no—
1170C23—44no—
1171C23—44no—
1172C23—44no—
1173C23—44no—
1174C23—44no—
1175C23—44no—
1176C23—44no—
1177C23—44no—
1178C23—44no—
1179C23—44no—
1180C23—44no—
1181C23—44no—
1182C23—44no—
1183C23C22×#4112yes—
1184C23C2×H(5,𝔽2)12yes—
1185C23C2×H(5,𝔽2)12yes—
1186C23C2×2−1+412yes—
1187C23C2×2−1+412yes—
1188C23#58512yes—
1189C23#58512yes—
1190C23C2611yescharacteristic
1191Q8—416no—
1192Q8—88no—
1193Q8—88no—
1194D4—88no—
1195D4—88no—
1196D4—88no—
1197C2×C4—22no—
1198C2×C4—22no—
1199C2×C4—22no—
1200C2×C4—22no—
1201C2×C4—22no—
1202C2×C4—22no—
1203C2×C4—22no—
1204C2×C4—22no—
1205C2×C4—22no—
1206C2×C4—22no—
1207C2×C4—22no—
1208C2×C4—22no—
1209C2×C4—22no—
1210C2×C4—22no—
1211C2×C4—28no—
1212C2×C4—28no—
1213C2×C4—28no—
1214C2×C4—28no—
1215C2×C4—28no—
1216C2×C4—28no—
1217C2×C4—28no—
1218C2×C4—22no—
1219C2×C4—22no—
1220C2×C4—22no—
1221C2×C4—22no—
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—416no—
1282C2×C4—416no—
1283C2×C4—44no—
1284C2×C4—44no—
1285C2×C4—44no—
1286C2×C4—44no—
1287C2×C4—44no—
1288C2×C4—44no—
1289C2×C4—44no—
1290C2×C4—44no—
1291C2×C4—44no—
1292C2×C4—44no—
1293C2×C4—44no—
1294C2×C4—44no—
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—88no—
1305C2×C4C22×#4114yes—
1306C2×C4C22×#4114yes—
1307C2×C4C22×#4114yes—
1308C2×C4C2×H(5,𝔽2)14yes—
1309C2×C4C2×H(5,𝔽2)14yes—
1310C2×C4C2×2−1+414yes—
1311C2×C4C2×2−1+414yes—
1312C22—42no—
1313C22—42no—
1314C22—42no—
1315C22—42no—
1316C22—42no—
1317C22—42no—
1318C22—42no—
1319C22—42no—
1320C22—42no—
1321C22—42no—
1322C22—42no—
1323C22—42no—
1324C22—42no—
1325C22—42no—
1326C22—42no—
1327C22—42no—
1328C22—42no—
1329C22—42no—
1330C22—42no—
1331C22—42no—
1332C22—42no—
1333C22—88no—
1334C22—88no—
1335C22—88no—
1336C22#346114yes—
1337C22#349414yes—
1338C22#351114yes—
1339C22#353814yes—
1340C22#354214yes—
1341C22#354714yes—
1342C22#356514yes—
1343C22C23×#4111yescharacteristic
1344C22C22×H(5,𝔽2)11yescharacteristic
1345C22C22×H(5,𝔽2)11yescharacteristic
1346C22C22×2−1+411yescharacteristic
1347C22C22×2−1+411yescharacteristic
1348C22C2×#58511yescharacteristic
1349C22C2×#58511yescharacteristic
1350C4—24no—
1351C4—24no—
1352C4—24no—
1353C4—24no—
1354C4—24no—
1355C4—24no—
1356C4—24no—
1357C4—42no—
1358C4—42no—
1359C4—42no—
1360C4—42no—
1361C4—42no—
1362C4—42no—
1363C4—42no—
1364C4—42no—
1365C4—42no—
1366C4—42no—
1367C4—42no—
1368C4—42no—
1369C4—42no—
1370C4—42no—
1371C4—42no—
1372C4—42no—
1373C4—42no—
1374C4—42no—
1375C4—42no—
1376C4—42no—
1377C4—42no—
1378C2—82no—
1379C2—82no—
1380C2—82no—
1381C2#4208418yesdirect product factor
1382C2C2×#346111yescharacteristic
1383C2C2×#354211yescharacteristic
1384C2C2×#353811yescharacteristic
1385C2C2×#356511yescharacteristic
1386C2C2×#354711yescharacteristic
1387C2C2×#349411yescharacteristic
1388C2C2×#351111yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#121C22
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×#2795C2semidirect
2. C2×#2772C2semidirect
3. C2×#2755C2semidirect
4. C2×#2731C2semidirect
5. C2×#2725C2semidirect
6. C2×#2723C2semidirect
7. C2×#2704C2semidirect
9. #42084C2direct (N × H)
10. C2×#2820C2semidirect
11. C2×#2837C2semidirect
12. C2×#2611C2semidirect
13. C2×#2605C2semidirect
14. C2×#2558C2semidirect
15. C2×#2556C2semidirect
16. C2×#2531C2semidirect
17. C2×#2525C2semidirect
18. C2×#2521C2semidirect
19. C2×#2518C2semidirect
20. C2×#2441C2semidirect
22. C2×#2429C2semidirect
23. C2×#2465C2semidirect
24. C2×#2660C2semidirect
26. C2×#2654C2semidirect
27. C2×#2651C2semidirect
28. C2×#2663C2semidirect
29. C2×#2396C2semidirect
30. C2×#2372C2semidirect
31. C2×#2346C2semidirect
32. C2×#2330C2semidirect
48. #2837C22semidirect
49. #2820C22semidirect
50. #2795C22semidirect
51. #2772C22semidirect
52. #2755C22semidirect
53. #2731C22semidirect
54. #2725C22semidirect
55. #2723C22semidirect
56. #2704C22semidirect
58. #2663C22semidirect
59. #2660C22semidirect
60. #2654C22semidirect
61. #2651C22semidirect
63. #2611C22semidirect
64. #2605C22semidirect
65. #2558C22semidirect
66. #2556C22semidirect
67. #2531C22semidirect
68. #2525C22semidirect
69. #2521C22semidirect
70. #2518C22semidirect
72. #2465C22semidirect
73. #2441C22semidirect
74. #2429C22semidirect
75. #2396C22semidirect
132. #2372C22semidirect
133. #2346C22semidirect
134. #2330C22semidirect
1381. C2#42084direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27952
C2×#27722
C2×#27552
C2×#27312
C2×#27252
C2×#27232
C2×#27042
C2×#26722
#420842
C2×#28202
C2×#28372
C2×#26112
C2×#26052
C2×#25582
C2×#25562
C2×#25312
C2×#25252
C2×#25212
C2×#25182
C2×#24412
C2×#24762
C2×#24292
C2×#24652
C2×#26602
C2×#26202
C2×#26542
C2×#26512
C2×#26632
C2×#23962
C2×#23722
C2×#23462
C2×#23302