Finite Group Databasebeta

← C2×#53314 #8105849

Subgroups — C2×#53314 #8105849

Order 512.

4794 conjugacy classes of subgroups.

The subgroup lattice has 1394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53314C2132yesmaximal, direct product factor
2C2×#2803C211yesmaximal, characteristic, complemented
3C2×#2803C211yesmaximal, characteristic, complemented
4C2×#2789C211yesmaximal, characteristic, complemented
5C2×#2787C211yesmaximal, characteristic, complemented
6C2×#2786C211yesmaximal, characteristic, complemented
7C2×#2786C211yesmaximal, characteristic, complemented
8C2×#2781C211yesmaximal, characteristic, complemented
9C2×#2778C211yesmaximal, characteristic, complemented
10C2×#2773C211yesmaximal, characteristic, complemented
11C2×#2761C211yesmaximal, characteristic, complemented
12C2×#2761C211yesmaximal, characteristic, complemented
13C2×#2754C211yesmaximal, characteristic, complemented
14C2×#2753C211yesmaximal, characteristic, complemented
15C2×#2752C211yesmaximal, characteristic, complemented
16C2×#2746C211yesmaximal, characteristic, complemented
17C2×#2746C211yesmaximal, characteristic, complemented
18C2×#2744C211yesmaximal, characteristic, complemented
19C2×#2741C211yesmaximal, characteristic, complemented
20C2×#2741C211yesmaximal, characteristic, complemented
21C2×#2739C211yesmaximal, characteristic, complemented
22C2×#2730C211yesmaximal, characteristic, complemented
23C2×#2719C211yesmaximal, characteristic, complemented
24C2×#2711C211yesmaximal, characteristic, complemented
25C2×#2703C211yesmaximal, characteristic
26C2×#2694C211yesmaximal, characteristic, complemented
27C2×#2690C211yesmaximal, characteristic, complemented
28C2×#2687C211yesmaximal, characteristic, complemented
29C2×#2686C211yesmaximal, characteristic, complemented
30C2×#2866C211yesmaximal, characteristic, complemented
31C2×#2865C211yesmaximal, characteristic, complemented
32C2×#2861C211yesmaximal, characteristic, complemented
33C22×#125C2211yescharacteristic
34C22×#125C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×#121C2211yescharacteristic
39#2866C22116yescomplemented
40#2865C22116yescomplemented
41#2861C22116yescomplemented
42#2803C22116yescomplemented
43#2803C22116yescomplemented
44#2789C22116yescomplemented
45#2787C22116yescomplemented
46#2786C22116yescomplemented
47#2786C22116yescomplemented
48#2781C22116yescomplemented
49#2778C22116yescomplemented
50#2773C22116yescomplemented
51#2761C22116yescomplemented
52#2761C22116yescomplemented
53#2754C22116yescomplemented
54#2753C22116yescomplemented
55#2752C22116yescomplemented
56#2746C22116yescomplemented
57#2746C22116yescomplemented
58#2744C22116yescomplemented
59#2741C22116yescomplemented
60#2741C22116yescomplemented
61#2739C22116yescomplemented
62#2730C22116yescomplemented
63#2719C22116yescomplemented
64#2711C22116yescomplemented
65#2703C22116yes—
66#2694C22116yescomplemented
67#2690C22116yescomplemented
68#2687C22116yescomplemented
69#2686C22116yescomplemented
70C2×#401C2211yescharacteristic
71C2×#401C2211yescharacteristic
72C2×#400C2211yescharacteristic
73C2×#400C2211yescharacteristic
74C2×#400C2211yescharacteristic
75C2×#400C2211yescharacteristic
76C2×#400C2211yescharacteristic
77C2×#400C2211yescharacteristic
78C2×#400C2211yescharacteristic
79C2×#400C2211yescharacteristic
80C2×#399C2211yescharacteristic
81C2×#399C2211yescharacteristic
82C2×#399C2211yescharacteristic
83C2×#399C2211yescharacteristic
84C2×#398C2211yescharacteristic
85C2×#398C2211yescharacteristic
86C2×#398C2211yescharacteristic
87C2×#398C2211yescharacteristic
88C2×#398C2211yescharacteristic
89C2×#398C2211yescharacteristic
90C2×#398C2211yescharacteristic
91C2×#398C2211yescharacteristic
92C2×#397C2211yescharacteristic
93C2×#397C2211yescharacteristic
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic
104C2×#396C2211yescharacteristic
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic
107C2×#396C2211yescharacteristic
108C2×#395C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#393C2211yescharacteristic
123C2×#392C2211yescharacteristic
124C2×#392C2211yescharacteristic
125C2×#392C2211yescharacteristic
126C2×#391C2211yescharacteristic
127C2×#391C2211yescharacteristic
128C2×#391C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#390C2211yescharacteristic
134C2×#390C2211yescharacteristic
135C2×#389C2211yescharacteristic
136C2×#389C2211yescharacteristic
137C2×#389C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
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×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#387C2211yescharacteristic
169C2×#387C2211yescharacteristic
170C2×#387C2211yescharacteristic
171C2×#387C2211yescharacteristic
172C2×#387C2211yescharacteristic
173C2×#387C2211yescharacteristic
174C2×#387C2211yescharacteristic
175C2×#387C2211yescharacteristic
176C2×#387C2211yescharacteristic
177C2×#387C2211yescharacteristic
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×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#382C2211yescharacteristic
207C2×#382C2211yescharacteristic
208C2×#382C2211yescharacteristic
209C2×#381C2211yescharacteristic
210C2×#381C2211yescharacteristic
211C2×#381C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×#380C2211yescharacteristic
215C2×#380C2211yescharacteristic
216C2×#380C2211yescharacteristic
217C2×#380C2211yescharacteristic
218C2×C43C2211yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C24×C4C2311yescharacteristic
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C2×#125—44no—
231C2×#125—44no—
232C2×#125C2318yes—
233C2×#125C2318yes—
234C2×#124—44no—
235C2×#124C2318yes—
236C2×#123—44no—
237C2×#123C2318yes—
238C2×C22⋊Q8—44no—
239C2×C22⋊Q8C2318yes—
240C2×#121—44no—
241C2×#121C2318yes—
242C22×C4⋊C4C2311yescharacteristic
243C22×C4⋊C4C2311yescharacteristic
244C22×C4⋊C4C2311yescharacteristic
245C22×C4⋊C4C2311yescharacteristic
246C22×C4⋊C4C2311yescharacteristic
247C22×C4⋊C4C2311yescharacteristic
248C22×C4⋊C4C2311yescharacteristic
249C22×C4⋊C4C2311yescharacteristic
250C22×C4⋊C4C2311yescharacteristic
251C22×C4⋊C4C2311yescharacteristic
252C22×C4⋊C4C2311yescharacteristic
253C22×C4⋊C4C2311yescharacteristic
254C22×C4⋊C4C2311yescharacteristic
255C22×C4⋊C4C2311yescharacteristic
256C22×C4⋊C4C2311yescharacteristic
257C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
278C22×C22⋊C4C2311yescharacteristic
279C22×C22⋊C4C2311yescharacteristic
280C22×C22⋊C4C2311yescharacteristic
281C22×C22⋊C4C2311yescharacteristic
282C22×C22⋊C4C2311yescharacteristic
283C22×C22⋊C4C2311yescharacteristic
284C22×C22⋊C4C2311yescharacteristic
285C22×C22⋊C4C2311yescharacteristic
286C22×C22⋊C4C2311yescharacteristic
287C22×C22⋊C4C2311yescharacteristic
288C22×C22⋊C4C2311yescharacteristic
289C22×C22⋊C4C2311yescharacteristic
290C22×C22⋊C4C2311yescharacteristic
291C22×C22⋊C4C2311yescharacteristic
292C22×C22⋊C4C2311yescharacteristic
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊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×C42C2311yescharacteristic
322C22×C42C2311yescharacteristic
323C22×C42C2311yescharacteristic
324C22×C42C2311yescharacteristic
325C22×C42C2311yescharacteristic
326C22×C42C2311yescharacteristic
327C22×C42C2311yescharacteristic
328C22×C42C2311yescharacteristic
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332#401C2318yes—
333#401C2318yes—
334#400C2318yes—
335#400C2318yes—
336#400C2318yes—
337#400C2318yes—
338#400C2318yes—
339#400C2318yes—
340#400C2318yes—
341#400C2318yes—
342#399C2318yes—
343#399C2318yes—
344#399C2318yes—
345#399C2318yes—
346#398C2318yes—
347#398C2318yes—
348#398C2318yes—
349#398C2318yes—
350#398C2318yes—
351#398C2318yes—
352#398C2318yes—
353#398C2318yes—
354#397C2318yes—
355#397C2318yes—
356#397C2318yes—
357#397C2318yes—
358#397C2318yes—
359#397C2318yes—
360#397C2318yes—
361#397C2318yes—
362#397C2318yes—
363#397C2318yes—
364#397C2318yes—
365#397C2318yes—
366#396C2318yes—
367#396C2318yes—
368#396C2318yes—
369#396C2318yes—
370#395C2318yes—
371#394C2318yes—
372#394C2318yes—
373#394C2318yes—
374#394C2318yes—
375#394C2318yes—
376#394C2318yes—
377#394C2318yes—
378#394C2318yes—
379#394C2318yes—
380#394C2318yes—
381#394C2318yes—
382#394C2318yes—
383#394C2318yes—
384#393C2318yes—
385#392C2318yes—
386#392C2318yes—
387#392C2318yes—
388#391C2318yes—
389#391C2318yes—
390#391C2318yes—
391#390C2318yes—
392#390C2318yes—
393#390C2318yes—
394#390C2318yes—
395#390C2318yes—
396#390C2318yes—
397#389C2318yes—
398#389C2318yes—
399#389C2318yes—
400#388C2318yes—
401#388C2318yes—
402#388C2318yes—
403#388C2318yes—
404#388C2318yes—
405#388C2318yes—
406#388C2318yes—
407#388C2318yes—
408#388C2318yes—
409#388C2318yes—
410#388C2318yes—
411#388C2318yes—
412#388C2318yes—
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#388C2318yes—
428#388C2318yes—
429#388C2318yes—
430#387C2318yes—
431#387C2318yes—
432#387C2318yes—
433#387C2318yes—
434#387C2318yes—
435#387C2318yes—
436#387C2318yes—
437#387C2318yes—
438#387C2318yes—
439#387C2318yes—
440#387C2318yes—
441#387C2318yes—
442#387C2318yes—
443#387C2318yes—
444#387C2318yes—
445#387C2318yes—
446#387C2318yes—
447#387C2318yes—
448#387C2318yes—
449#387C2318yes—
450#387C2318yes—
451#387C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#382C2318yes—
469#382C2318yes—
470#382C2318yes—
471#381C2318yes—
472#381C2318yes—
473#381C2318yes—
474#380C2318yes—
475#380C2318yes—
476#380C2318yes—
477#380C2318yes—
478#380C2318yes—
479#380C2318yes—
480C2×#95C2311yescharacteristic
481C2×#95C2311yescharacteristic
482C2×#95C2311yescharacteristic
483C2×#95C2311yescharacteristic
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
534C43C2318yes—
535C25C2411yescharacteristic
536C25C2411yescharacteristic
537C25C2411yescharacteristic
538C25C2411yescharacteristic
539C22×Q8—24no—
540C22×Q8—42no—
541C22×Q8—42no—
542C22×Q8C2414yes—
543C22×D4—24no—
544C22×D4—42no—
545C22×D4—42no—
546C22×D4—42no—
547C22×D4—42no—
548C22×D4—42no—
549C22×D4—42no—
550C22×D4—42no—
551C22×D4—42no—
552C22×D4—42no—
553C22×D4—42no—
554C22×D4—42no—
555C22×D4—42no—
556C22×D4—42no—
557C22×D4—42no—
558C22×D4—42no—
559C22×D4—42no—
560C22×D4—42no—
561C22×D4C2414yes—
562C22×D4C2414yes—
563C22×D4C2414yes—
564C22×D4C2414yes—
565C22×D4C2414yes—
566C22×D4C2414yes—
567C23×C4—42no—
568C23×C4—42no—
569C23×C4—42no—
570C23×C4—42no—
571C23×C4—42no—
572C23×C4—42no—
573C23×C4—42no—
574C23×C4—42no—
575C23×C4—42no—
576C23×C4—42no—
577C23×C4—42no—
578C23×C4—42no—
579C23×C4C2411yescharacteristic
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×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605C23×C4C2411yescharacteristic
606C23×C4C2414yes—
607C23×C4C2414yes—
608C23×C4C2414yes—
609C23×C4C2414yes—
610#125—416no—
611#125—416no—
612#124—416no—
613#123—416no—
614C22⋊Q8—416no—
615#121—416no—
616C2×C4⋊C4—24no—
617C2×C4⋊C4—24no—
618C2×C4⋊C4—24no—
619C2×C4⋊C4—24no—
620C2×C4⋊C4—42no—
621C2×C4⋊C4—42no—
622C2×C4⋊C4—42no—
623C2×C4⋊C4—42no—
624C2×C4⋊C4—42no—
625C2×C4⋊C4—42no—
626C2×C4⋊C4—42no—
627C2×C4⋊C4—42no—
628C2×C4⋊C4—42no—
629C2×C4⋊C4—42no—
630C2×C4⋊C4—42no—
631C2×C4⋊C4—42no—
632C2×C4⋊C4—42no—
633C2×C4⋊C4—42no—
634C2×C4⋊C4—42no—
635C2×C4⋊C4—42no—
636C2×C4⋊C4—42no—
637C2×C4⋊C4—42no—
638C2×C4⋊C4—42no—
639C2×C4⋊C4—42no—
640C2×C4⋊C4—42no—
641C2×C4⋊C4—42no—
642C2×C4⋊C4—42no—
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⋊C4C2414yes—
652C2×C4⋊C4C2414yes—
653C2×C4⋊C4C2414yes—
654C2×C4⋊C4C2414yes—
655C2×C4⋊C4C2414yes—
656C2×C4⋊C4C2414yes—
657C2×C4⋊C4C2414yes—
658C2×C4⋊C4C2414yes—
659C2×C4⋊C4C2414yes—
660C2×C4⋊C4C2414yes—
661C2×C4⋊C4C2414yes—
662C2×C4⋊C4C2414yes—
663C2×C4⋊C4C2414yes—
664C2×C4⋊C4C2414yes—
665C2×C4⋊C4C2414yes—
666C2×C4⋊C4C2414yes—
667C2×C4⋊C4C2414yes—
668C2×C4⋊C4C2414yes—
669C2×C4⋊C4C2414yes—
670C2×C4⋊C4C2414yes—
671C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
687C2×C22⋊C4—24no—
688C2×C22⋊C4—42no—
689C2×C22⋊C4—42no—
690C2×C22⋊C4—42no—
691C2×C22⋊C4—42no—
692C2×C22⋊C4—42no—
693C2×C22⋊C4—42no—
694C2×C22⋊C4—42no—
695C2×C22⋊C4—42no—
696C2×C22⋊C4—42no—
697C2×C22⋊C4—42no—
698C2×C22⋊C4—42no—
699C2×C22⋊C4—42no—
700C2×C22⋊C4—42no—
701C2×C22⋊C4—42no—
702C2×C22⋊C4—42no—
703C2×C22⋊C4—42no—
704C2×C22⋊C4—42no—
705C2×C22⋊C4—42no—
706C2×C22⋊C4—42no—
707C2×C22⋊C4—42no—
708C2×C22⋊C4—42no—
709C2×C22⋊C4—42no—
710C2×C22⋊C4—42no—
711C2×C22⋊C4—42no—
712C2×C22⋊C4—42no—
713C2×C22⋊C4—42no—
714C2×C22⋊C4—42no—
715C2×C22⋊C4—42no—
716C2×C22⋊C4—42no—
717C2×C22⋊C4—42no—
718C2×C22⋊C4—42no—
719C2×C22⋊C4—42no—
720C2×C22⋊C4—42no—
721C2×C22⋊C4—42no—
722C2×C22⋊C4—42no—
723C2×C22⋊C4—42no—
724C2×C22⋊C4—42no—
725C2×C22⋊C4—42no—
726C2×C22⋊C4—42no—
727C2×C22⋊C4—42no—
728C2×C22⋊C4—42no—
729C2×C22⋊C4—42no—
730C2×C22⋊C4C2414yes—
731C2×C22⋊C4C2414yes—
732C2×C22⋊C4C2414yes—
733C2×C22⋊C4C2414yes—
734C2×C22⋊C4C2414yes—
735C2×C22⋊C4C2414yes—
736C2×C22⋊C4C2414yes—
737C2×C22⋊C4C2414yes—
738C2×C22⋊C4C2414yes—
739C2×C22⋊C4C2414yes—
740C2×C22⋊C4C2414yes—
741C2×C22⋊C4C2414yes—
742C2×C22⋊C4C2414yes—
743C2×C22⋊C4C2414yes—
744C2×C22⋊C4C2414yes—
745C2×C22⋊C4C2414yes—
746C2×C22⋊C4C2414yes—
747C2×C22⋊C4C2414yes—
748C2×C22⋊C4C2414yes—
749C2×C22⋊C4C2414yes—
750C2×C22⋊C4C2414yes—
751C2×C22⋊C4C2414yes—
752C2×C22⋊C4C2414yes—
753C2×C22⋊C4C2414yes—
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×C42—24no—
775C2×C42—42no—
776C2×C42—42no—
777C2×C42—42no—
778C2×C42—42no—
779C2×C42—42no—
780C2×C42—42no—
781C2×C42—42no—
782C2×C42—42no—
783C2×C42—42no—
784C2×C42—42no—
785C2×C42C2414yes—
786C2×C42C2414yes—
787C2×C42C2414yes—
788C2×C42C2414yes—
789C2×C42C2414yes—
790C2×C42C2414yes—
791C2×C42C2414yes—
792C2×C42C2414yes—
793C2×C42C2414yes—
794C2×C42C2414yes—
795C2×C42C2414yes—
796#95C2414yes—
797#95C2414yes—
798#95C2414yes—
799#95C2414yes—
800#95C2414yes—
801#95C2414yes—
802#95C2414yes—
803#95C2414yes—
804#95C2414yes—
805#95C2414yes—
806#95C2414yes—
807#95C2414yes—
808#95C2414yes—
809#95C2414yes—
810#95C2414yes—
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—
850C24—22no—
851C24—22no—
852C24—22no—
853C24—22no—
854C24—22no—
855C24—22no—
856C24—22no—
857C24—22no—
858C24—22no—
859C24—22no—
860C24—22no—
861C24—22no—
862C24—22no—
863C24—22no—
864C24—22no—
865C24—22no—
866C24—22no—
867C24—22no—
868C24—22no—
869C24—22no—
870C24—22no—
871C24—22no—
872C24—22no—
873C24—22no—
874C24—22no—
875C24—22no—
876C24—22no—
877C24—22no—
878C24C2512yes—
879C24C2512yes—
880C24C2512yes—
881C24C2512yes—
882C24C2511yescharacteristic
883C2×Q8—28no—
884C2×Q8—44no—
885C2×Q8—44no—
886C2×Q8—88no—
887C2×D4—28no—
888C2×D4—44no—
889C2×D4—44no—
890C2×D4—44no—
891C2×D4—44no—
892C2×D4—44no—
893C2×D4—44no—
894C2×D4—44no—
895C2×D4—44no—
896C2×D4—44no—
897C2×D4—44no—
898C2×D4—44no—
899C2×D4—44no—
900C2×D4—44no—
901C2×D4—44no—
902C2×D4—44no—
903C2×D4—44no—
904C2×D4—44no—
905C2×D4—88no—
906C2×D4—88no—
907C2×D4—88no—
908C2×D4—88no—
909C2×D4—88no—
910C2×D4—88no—
911C22×C4—22no—
912C22×C4—22no—
913C22×C4—22no—
914C22×C4—22no—
915C22×C4—22no—
916C22×C4—22no—
917C22×C4—22no—
918C22×C4—22no—
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—44no—
992C22×C4—44no—
993C22×C4—44no—
994C22×C4—44no—
995C22×C4—44no—
996C22×C4—44no—
997C22×C4—44no—
998C22×C4—44no—
999C22×C4—44no—
1000C22×C4—44no—
1001C22×C4—44no—
1002C22×C4—44no—
1003C22×C4—88no—
1004C22×C4—88no—
1005C22×C4—88no—
1006C22×C4—88no—
1007C22×C4H(5,𝔽2)14yes—
1008C22×C4C2512yes—
1009C22×C4C2512yes—
1010C22×C4C2512yes—
1011C22×C4C2512yes—
1012C22×C4C2512yes—
1013C22×C4C2512yes—
1014C22×C4C2512yes—
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—
1035C4⋊C4—28no—
1036C4⋊C4—28no—
1037C4⋊C4—28no—
1038C4⋊C4—28no—
1039C4⋊C4—44no—
1040C4⋊C4—44no—
1041C4⋊C4—44no—
1042C4⋊C4—44no—
1043C4⋊C4—44no—
1044C4⋊C4—44no—
1045C4⋊C4—44no—
1046C4⋊C4—44no—
1047C4⋊C4—44no—
1048C4⋊C4—44no—
1049C4⋊C4—44no—
1050C4⋊C4—44no—
1051C4⋊C4—44no—
1052C4⋊C4—44no—
1053C4⋊C4—44no—
1054C4⋊C4—44no—
1055C4⋊C4—44no—
1056C4⋊C4—44no—
1057C4⋊C4—44no—
1058C4⋊C4—44no—
1059C4⋊C4—44no—
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—
1070C22⋊C4—28no—
1071C22⋊C4—28no—
1072C22⋊C4—44no—
1073C22⋊C4—44no—
1074C22⋊C4—44no—
1075C22⋊C4—44no—
1076C22⋊C4—44no—
1077C22⋊C4—44no—
1078C22⋊C4—44no—
1079C22⋊C4—44no—
1080C22⋊C4—44no—
1081C22⋊C4—44no—
1082C22⋊C4—44no—
1083C22⋊C4—44no—
1084C22⋊C4—44no—
1085C22⋊C4—44no—
1086C22⋊C4—44no—
1087C22⋊C4—44no—
1088C22⋊C4—44no—
1089C22⋊C4—44no—
1090C22⋊C4—44no—
1091C22⋊C4—44no—
1092C22⋊C4—44no—
1093C22⋊C4—44no—
1094C22⋊C4—44no—
1095C22⋊C4—44no—
1096C22⋊C4—44no—
1097C22⋊C4—44no—
1098C22⋊C4—44no—
1099C22⋊C4—44no—
1100C22⋊C4—44no—
1101C22⋊C4—44no—
1102C22⋊C4—44no—
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—
1114C42—28no—
1115C42—44no—
1116C42—44no—
1117C42—44no—
1118C42—44no—
1119C42—44no—
1120C42—44no—
1121C42—44no—
1122C42—44no—
1123C42—44no—
1124C42—44no—
1125C23—22no—
1126C23—22no—
1127C23—22no—
1128C23—22no—
1129C23—22no—
1130C23—22no—
1131C23—22no—
1132C23—22no—
1133C23—22no—
1134C23—22no—
1135C23—22no—
1136C23—22no—
1137C23—22no—
1138C23—22no—
1139C23—22no—
1140C23—22no—
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—44no—
1154C23—44no—
1155C23—44no—
1156C23—44no—
1157C23—44no—
1158C23—44no—
1159C23—44no—
1160C23—44no—
1161C23—44no—
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—
1181C23C2×H(5,𝔽2)12yes—
1182C23#58512yes—
1183C23#58512yes—
1184C23#58512yes—
1185C23#58512yes—
1186C23#58512yes—
1187C23#58512yes—
1188C23C2611yescharacteristic
1189Q8—88no—
1190D4—88no—
1191D4—88no—
1192D4—88no—
1193D4—88no—
1194D4—88no—
1195D4—88no—
1196C2×C4—22no—
1197C2×C4—22no—
1198C2×C4—28no—
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—22no—
1212C2×C4—22no—
1213C2×C4—22no—
1214C2×C4—22no—
1215C2×C4—22no—
1216C2×C4—22no—
1217C2×C4—22no—
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—44no—
1278C2×C4—44no—
1279C2×C4—44no—
1280C2×C4—44no—
1281C2×C4—44no—
1282C2×C4—44no—
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—88no—
1304C2×C4—88no—
1305C2×C4—88no—
1306C2×C4—88no—
1307C2×C4C2×H(5,𝔽2)14yes—
1308C22—42no—
1309C22—42no—
1310C22—42no—
1311C22—42no—
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—42no—
1334C22—42no—
1335C22—42no—
1336C22—88no—
1337C22—88no—
1338C22—88no—
1339C22—88no—
1340C22#354514yes—
1341C22#356214yes—
1342C22#356214yes—
1343C22#356614yes—
1344C22#356614yes—
1345C22#356614yes—
1346C22#356714yes—
1347C22C22×H(5,𝔽2)11yescharacteristic
1348C22C2×#58511yescharacteristic
1349C22C2×#58511yescharacteristic
1350C22C2×#58511yescharacteristic
1351C22C2×#58511yescharacteristic
1352C22C2×#58511yescharacteristic
1353C22C2×#58511yescharacteristic
1354C4—24no—
1355C4—42no—
1356C4—42no—
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—
1378C4—42no—
1379C4—42no—
1380C4—42no—
1381C2—82no—
1382C2—82no—
1383C2—82no—
1384C2—82no—
1385C2#5331418yesdirect product factor
1386C2C2×#356711yescharacteristic
1387C2C2×#356211yescharacteristic
1388C2C2×#356211yescharacteristic
1389C2C2×#356611yescharacteristic
1390C2C2×#356611yescharacteristic
1391C2C2×#356611yescharacteristic
1392C2C2×#354511yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2703C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53314C2direct (N × H)
2. C2×#2803C2semidirect
3. C2×#2803C2semidirect
4. C2×#2789C2semidirect
5. C2×#2787C2semidirect
6. C2×#2786C2semidirect
7. C2×#2786C2semidirect
8. C2×#2781C2semidirect
9. C2×#2778C2semidirect
10. C2×#2773C2semidirect
11. C2×#2761C2semidirect
12. C2×#2761C2semidirect
13. C2×#2754C2semidirect
14. C2×#2753C2semidirect
15. C2×#2752C2semidirect
16. C2×#2746C2semidirect
17. C2×#2746C2semidirect
18. C2×#2744C2semidirect
19. C2×#2741C2semidirect
20. C2×#2741C2semidirect
21. C2×#2739C2semidirect
22. C2×#2730C2semidirect
23. C2×#2719C2semidirect
24. C2×#2711C2semidirect
26. C2×#2694C2semidirect
27. C2×#2690C2semidirect
28. C2×#2687C2semidirect
29. C2×#2686C2semidirect
30. C2×#2866C2semidirect
31. C2×#2865C2semidirect
32. C2×#2861C2semidirect
39. #2866C22semidirect
40. #2865C22semidirect
41. #2861C22semidirect
42. #2803C22semidirect
43. #2803C22semidirect
44. #2789C22semidirect
45. #2787C22semidirect
46. #2786C22semidirect
47. #2786C22semidirect
48. #2781C22semidirect
49. #2778C22semidirect
50. #2773C22semidirect
51. #2761C22semidirect
52. #2761C22semidirect
53. #2754C22semidirect
54. #2753C22semidirect
55. #2752C22semidirect
56. #2746C22semidirect
57. #2746C22semidirect
58. #2744C22semidirect
59. #2741C22semidirect
60. #2741C22semidirect
61. #2739C22semidirect
62. #2730C22semidirect
63. #2719C22semidirect
64. #2711C22semidirect
66. #2694C22semidirect
67. #2690C22semidirect
68. #2687C22semidirect
69. #2686C22semidirect
1385. C2#53314direct (N × H)

Maximal subgroups

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

subgroupindex
#533142
C2×#28032
C2×#27892
C2×#27872
C2×#27862
C2×#27812
C2×#27782
C2×#27732
C2×#27612
C2×#27542
C2×#27532
C2×#27522
C2×#27462
C2×#27442
C2×#27412
C2×#27392
C2×#27302
C2×#27192
C2×#27112
C2×#27032
C2×#26942
C2×#26902
C2×#26872
C2×#26862
C2×#28662
C2×#28652
C2×#28612