Finite Group Databasebeta

← C2×#37991 #7635199

Subgroups — C2×#37991 #7635199

Order 512.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2788C211yesmaximal, characteristic, complemented
2C2×#2779C211yesmaximal, characteristic, complemented
3C2×#2778C211yesmaximal, characteristic, complemented
4C2×#2736C211yesmaximal, characteristic, complemented
5C2×#2715C211yesmaximal, characteristic, complemented
6C2×#2697C211yesmaximal, characteristic, complemented
7C2×#2685C211yesmaximal, characteristic, complemented
8C2×#2670C211yesmaximal, characteristic
9#37991C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2611C211yesmaximal, characteristic, complemented
12C2×#2610C211yesmaximal, characteristic, complemented
13C2×#2558C211yesmaximal, characteristic, complemented
14C2×#2557C211yesmaximal, characteristic, complemented
15C2×#2527C211yesmaximal, characteristic, complemented
16C2×#2527C211yesmaximal, characteristic, complemented
17C2×#2526C211yesmaximal, characteristic, complemented
18C2×#2516C211yesmaximal, characteristic, complemented
19C2×#2470C211yesmaximal, characteristic, complemented
20C2×#2474C211yesmaximal, characteristic, complemented
21C2×#2447C211yesmaximal, characteristic, complemented
22C2×#2457C211yesmaximal, characteristic, complemented
23C2×#2460C211yesmaximal, characteristic, complemented
24C2×#2459C211yesmaximal, characteristic, complemented
25C2×#2665C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2373C211yesmaximal, characteristic, complemented
28C2×#2372C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2319C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C2×#2280C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#125C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×#117C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2849C22116yescomplemented
50#2788C22116yescomplemented
51#2779C22116yescomplemented
52#2778C22116yescomplemented
53#2736C22116yescomplemented
54#2715C22116yescomplemented
55#2697C22116yescomplemented
56#2685C22116yescomplemented
57#2670C22116yes—
58#2665C22116yescomplemented
59#2630C22116yescomplemented
60#2611C22116yescomplemented
61#2610C22116yescomplemented
62#2558C22116yescomplemented
63#2557C22116yescomplemented
64#2527C22116yescomplemented
65#2527C22116yescomplemented
66#2526C22116yescomplemented
67#2516C22116yescomplemented
68#2474C22116yescomplemented
69#2470C22116yescomplemented
70#2460C22116yescomplemented
71#2459C22116yescomplemented
72#2457C22116yescomplemented
73#2447C22116yescomplemented
74C2×#401C2211yescharacteristic, complemented
75C2×#400C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#399C2211yescharacteristic
81C2×#398C2211yescharacteristic, complemented
82C2×#397C2211yescharacteristic
83C2×#397C2211yescharacteristic
84C2×#397C2211yescharacteristic
85C2×#397C2211yescharacteristic
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic, complemented
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#396C2211yescharacteristic
91C2×#396C2211yescharacteristic
92C2×#396C2211yescharacteristic
93C2×#396C2211yescharacteristic, complemented
94C2×#396C2211yescharacteristic, complemented
95C2×#396C2211yescharacteristic, complemented
96C2×#395C2211yescharacteristic, complemented
97C2×#395C2211yescharacteristic, complemented
98C2×#394C2211yescharacteristic
99C2×#394C2211yescharacteristic
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic, complemented
107C2×#393C2211yescharacteristic
108C2×#393C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic
111C2×#392C2211yescharacteristic
112C2×#392C2211yescharacteristic
113C2×#392C2211yescharacteristic
114#2373C22116yescomplemented
115#2372C22116yescomplemented
116#2335C22116yescomplemented
117#2319C22116yescomplemented
118C4×#120C22116yescomplemented
119C2×#391C2211yescharacteristic, complemented
120C2×#391C2211yescharacteristic, complemented
121C2×#391C2211yescharacteristic, complemented
122C2×#391C2211yescharacteristic, complemented
123C2×#391C2211yescharacteristic, complemented
124C2×#390C2211yescharacteristic
125C2×#390C2211yescharacteristic
126C2×#390C2211yescharacteristic
127C2×#390C2211yescharacteristic
128C2×#390C2211yescharacteristic
129C2×#389C2211yescharacteristic, complemented
130C2×#389C2211yescharacteristic, complemented
131C2×#389C2211yescharacteristic, complemented
132C2×#389C2211yescharacteristic, complemented
133C2×#389C2211yescharacteristic, complemented
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189#2280C22116yescomplemented
190C2×#381C2211yescharacteristic
191C2×#381C2211yescharacteristic
192C2×#381C2211yescharacteristic
193C2×#381C2211yescharacteristic
194C2×#381C2211yescharacteristic, complemented
195C2×#380C2211yescharacteristic
196C2×#380C2211yescharacteristic
197C2×#380C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic, complemented
200C2×#379C2211yescharacteristic
201C2×#379C2211yescharacteristic
202C2×#379C2211yescharacteristic
203C2×#379C2211yescharacteristic
204C2×C4×C4⋊C4C2211yescharacteristic, complemented
205C2×C4×C4⋊C4C2211yescharacteristic, complemented
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C22⋊C4C2211yescharacteristic
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×#376C2211yescharacteristic, complemented
217C2×#376C2211yescharacteristic, complemented
218C2×#376C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C24×C4—28no—
230C24×C4—44no—
231C24×C4—44no—
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2318yes—
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C2×#126—28no—
242C2×#126C2318yes—
243C2×#125—44no—
244C2×#125C2318yescomplemented
245C2×#124—28no—
246C2×#124—44no—
247C2×#124—44no—
248C2×#124C2318yes—
249C2×#124C2318yes—
250C2×#124C2318yescomplemented
251C2×#123—28no—
252C2×#123—44no—
253C2×#123—44no—
254C2×#123C2318yes—
255C2×#123C2318yes—
256C2×#123C2318yes—
257C2×#120—28no—
258C2×#120—44no—
259C2×#120C2318yes—
260C2×#120C2318yes—
261C2×C4×D4—28no—
262C2×C4×D4—44no—
263C2×C4×D4—44no—
264C2×C4×D4C2318yes—
265C2×C4×D4C2318yes—
266C2×C4×D4C2318yes—
267C2×#117—44no—
268C2×#117—44no—
269C2×#117C2318yes—
270C2×#117C2318yes—
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×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×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#401C2318yescomplemented
363#400C2318yescomplemented
364#400C2318yescomplemented
365#400C2318yescomplemented
366#400C2318yescomplemented
367#400C2318yescomplemented
368#399C2318yes—
369#398C2318yescomplemented
370#397C2318yes—
371#397C2318yes—
372#397C2318yes—
373#397C2318yes—
374#397C2318yes—
375#397C2318yescomplemented
376#397C2318yescomplemented
377#397C2318yescomplemented
378#396C2318yes—
379#396C2318yes—
380#396C2318yes—
381#396C2318yescomplemented
382#396C2318yescomplemented
383#396C2318yescomplemented
384#395C2318yescomplemented
385#395C2318yescomplemented
386#394C2318yes—
387#394C2318yes—
388#394C2318yes—
389#394C2318yes—
390#394C2318yes—
391#394C2318yes—
392#394C2318yes—
393#394C2318yes—
394#394C2318yescomplemented
395#393C2318yes—
396#393C2318yes—
397#393C2318yes—
398#393C2318yes—
399#392C2318yes—
400#392C2318yes—
401#392C2318yes—
402#391C2318yescomplemented
403#391C2318yescomplemented
404#391C2318yescomplemented
405#391C2318yescomplemented
406#391C2318yescomplemented
407#390C2318yes—
408#390C2318yes—
409#390C2318yes—
410#390C2318yes—
411#390C2318yes—
412#389C2318yescomplemented
413#389C2318yescomplemented
414#389C2318yescomplemented
415#389C2318yescomplemented
416#389C2318yescomplemented
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#388C2318yescomplemented
431#388C2318yescomplemented
432#388C2318yescomplemented
433#388C2318yescomplemented
434#388C2318yescomplemented
435#388C2318yescomplemented
436#388C2318yescomplemented
437#388C2318yescomplemented
438#388C2318yescomplemented
439#388C2318yescomplemented
440#388C2318yescomplemented
441#388C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
444#387C2318yescomplemented
445#387C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yescomplemented
462#386C2318yescomplemented
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yes—
470#385C2318yescomplemented
471#385C2318yescomplemented
472#381C2318yes—
473#381C2318yes—
474#381C2318yes—
475#381C2318yes—
476#381C2318yescomplemented
477#380C2318yes—
478#380C2318yes—
479#380C2318yes—
480#380C2318yes—
481#380C2318yescomplemented
482#379C2318yes—
483#379C2318yes—
484#379C2318yes—
485#379C2318yes—
486C4×C4⋊C4C2318yescomplemented
487C4×C4⋊C4C2318yescomplemented
488C4×C4⋊C4C2318yescomplemented
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yes—
495C4×C22⋊C4C2318yes—
496C4×C22⋊C4C2318yescomplemented
497C4×C22⋊C4C2318yescomplemented
498#376C2318yescomplemented
499#376C2318yescomplemented
500#376C2318yescomplemented
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
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C25—24no—
548C25—24no—
549C25—24no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C22×Q8—24no—
561C22×Q8—42no—
562C22×Q8—42no—
563C22×Q8—42no—
564C22×Q8—42no—
565C22×Q8—42no—
566C22×Q8C2414yes—
567C22×Q8C2414yes—
568C22×D4—24no—
569C22×D4—24no—
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—42no—
577C22×D4—42no—
578C22×D4—42no—
579C22×D4—42no—
580C22×D4—42no—
581C22×D4—42no—
582C22×D4—42no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4C2414yes—
590C22×D4C2414yes—
591C22×D4C2414yes—
592C22×D4C2414yes—
593C22×D4C2414yes—
594C22×D4C2414yes—
595C22×D4C2414yes—
596C23×C4—24no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—232no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—24no—
608C23×C4—416no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—416no—
617C23×C4—42no—
618C23×C4—42no—
619C23×C4—42no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—464no—
623C23×C4#4118yes—
624C23×C4C2414yes—
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2414yes—
647C23×C4C2414yes—
648C23×C4C2414yes—
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658#126—232no—
659#125—416no—
660#124—232no—
661#124—416no—
662#124—416no—
663#123—232no—
664#123—416no—
665#123—416no—
666#120—232no—
667#120—416no—
668C4×D4—232no—
669C4×D4—416no—
670C4×D4—416no—
671#117—416no—
672#117—416no—
673C2×C4⋊C4—24no—
674C2×C4⋊C4—24no—
675C2×C4⋊C4—24no—
676C2×C4⋊C4—24no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
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⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
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—24no—
736C2×C22⋊C4—24no—
737C2×C22⋊C4—24no—
738C2×C22⋊C4—24no—
739C2×C22⋊C4—24no—
740C2×C22⋊C4—24no—
741C2×C22⋊C4—24no—
742C2×C22⋊C4—24no—
743C2×C22⋊C4—24no—
744C2×C22⋊C4—24no—
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⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—42no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4#4118yes—
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×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C42—24no—
828C2×C42—24no—
829C2×C42—24no—
830C2×C42—24no—
831C2×C42—24no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—42no—
835C2×C42—42no—
836C2×C42—42no—
837C2×C42—42no—
838C2×C42—42no—
839C2×C42—42no—
840C2×C42—42no—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851C2×C42C2414yes—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
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—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—28no—
923C24—28no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—28no—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—416no—
941C24—416no—
942C24—416no—
943C24—416no—
944C24—416no—
945C24—416no—
946C24—416no—
947C24C2×#4114yes—
948C24C2×#4114yes—
949C24H(5,𝔽2)14yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2512yes—
955C24C2511yescharacteristic
956C2×Q8—28no—
957C2×Q8—44no—
958C2×Q8—44no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—88no—
963C2×Q8—88no—
964C2×D4—28no—
965C2×D4—28no—
966C2×D4—28no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—416no—
977C2×D4—416no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—416no—
988C2×D4—88no—
989C2×D4—88no—
990C2×D4—88no—
991C2×D4—88no—
992C22×C4—232no—
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—28no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—28no—
1005C22×C4—28no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—28no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—28no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—28no—
1072C22×C4—28no—
1073C22×C4—28no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—28no—
1077C22×C4—416no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—416no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—416no—
1092C22×C4—416no—
1093C22×C4—4128no—
1094C22×C4—416no—
1095C22×C4—88no—
1096C22×C4—88no—
1097C22×C4C2×#4114yes—
1098C22×C4C2×#4114yes—
1099C22×C4C2×#4114yes—
1100C22×C4C2×#4114yes—
1101C22×C4C2×#41116yes—
1102C22×C4H(5,𝔽2)14yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4C2×#41116yes—
1206C42—28no—
1207C42—28no—
1208C42—28no—
1209C42—28no—
1210C42—28no—
1211C42—44no—
1212C42—44no—
1213C42—44no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—28no—
1239C23—28no—
1240C23—28no—
1241C23—28no—
1242C23—28no—
1243C23—28no—
1244C23—28no—
1245C23—28no—
1246C23—28no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—416no—
1262C23—416no—
1263C23—416no—
1264C23—416no—
1265C23—416no—
1266C23—416no—
1267C23—416no—
1268C23—4128no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—44no—
1293C23—44no—
1294C23—44no—
1295C23C22×#4114yes—
1296C23C22×#4114yes—
1297C23C22×#4112yes—
1298C23C22×#4112yes—
1299C23C2×H(5,𝔽2)14yes—
1300C23C2×H(5,𝔽2)12yes—
1301C23C2×H(5,𝔽2)12yes—
1302C23#58512yes—
1303C23#58512yes—
1304C23#58512yes—
1305C23C2611yescharacteristic
1306Q8—88no—
1307Q8—88no—
1308D4—416no—
1309D4—416no—
1310D4—416no—
1311D4—88no—
1312D4—88no—
1313D4—88no—
1314D4—88no—
1315C2×C4—232no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—28no—
1327C2×C4—28no—
1328C2×C4—28no—
1329C2×C4—28no—
1330C2×C4—28no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—416no—
1395C2×C4—416no—
1396C2×C4—416no—
1397C2×C4—416no—
1398C2×C4—416no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—88no—
1421C2×C4—88no—
1422C2×C4C22×#4114yes—
1423C2×C4C22×#4114yes—
1424C2×C4C22×#4114yes—
1425C2×C4C22×#4114yes—
1426C2×C4C2×H(5,𝔽2)14yes—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—24no—
1436C22—464no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—416no—
1447C22—416no—
1448C22—416no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—88no—
1467C22—88no—
1468C22#346014yes—
1469C22#347514yes—
1470C22#349014yes—
1471C22#349314yes—
1472C22#351314yes—
1473C22#353314yes—
1474C22#354014yes—
1475C22C23×#4111yescharacteristic
1476C22C23×#4111yescharacteristic
1477C22C22×H(5,𝔽2)11yescharacteristic
1478C22C22×H(5,𝔽2)11yescharacteristic
1479C22C2×#58511yescharacteristic
1480C22C2×#58511yescharacteristic
1481C22C2×#58511yescharacteristic
1482C4—24no—
1483C4—24no—
1484C4—24no—
1485C4—24no—
1486C4—24no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C2—44no—
1509C2—44no—
1510C2—44no—
1511C2—82no—
1512C2—82no—
1513C2#3799118yesdirect product factor
1514C2C2×#346011yescharacteristic
1515C2C2×#347511yescharacteristic
1516C2C2×#353311yescharacteristic
1517C2C2×#354011yescharacteristic
1518C2C2×#349011yescharacteristic
1519C2C2×#351311yescharacteristic
1520C2C2×#349311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2670C2
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×#2788C2semidirect
2. C2×#2779C2semidirect
3. C2×#2778C2semidirect
4. C2×#2736C2semidirect
5. C2×#2715C2semidirect
6. C2×#2697C2semidirect
7. C2×#2685C2semidirect
9. #37991C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2611C2semidirect
12. C2×#2610C2semidirect
13. C2×#2558C2semidirect
14. C2×#2557C2semidirect
15. C2×#2527C2semidirect
16. C2×#2527C2semidirect
17. C2×#2526C2semidirect
18. C2×#2516C2semidirect
19. C2×#2470C2semidirect
20. C2×#2474C2semidirect
21. C2×#2447C2semidirect
22. C2×#2457C2semidirect
23. C2×#2460C2semidirect
24. C2×#2459C2semidirect
25. C2×#2665C2semidirect
26. C2×#2630C2semidirect
27. C2×#2373C2semidirect
28. C2×#2372C2semidirect
29. C2×#2335C2semidirect
30. C2×#2319C2semidirect
31. C2×C4×#120C2semidirect
32. C2×#2280C2semidirect
35. C22×#125C22semidirect
38. C22×#124C22semidirect
49. #2849C22semidirect
50. #2788C22semidirect
51. #2779C22semidirect
52. #2778C22semidirect
53. #2736C22semidirect
54. #2715C22semidirect
55. #2697C22semidirect
56. #2685C22semidirect
58. #2665C22semidirect
59. #2630C22semidirect
60. #2611C22semidirect
61. #2610C22semidirect
62. #2558C22semidirect
63. #2557C22semidirect
64. #2527C22semidirect
65. #2527C22semidirect
66. #2526C22semidirect
67. #2516C22semidirect
68. #2474C22semidirect
69. #2470C22semidirect
70. #2460C22semidirect
71. #2459C22semidirect
72. #2457C22semidirect
73. #2447C22semidirect
74. C2×#401C22semidirect
75. C2×#400C22semidirect
76. C2×#400C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
81. C2×#398C22semidirect
87. C2×#397C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
93. C2×#396C22semidirect
94. C2×#396C22semidirect
95. C2×#396C22semidirect
96. C2×#395C22semidirect
97. C2×#395C22semidirect
106. C2×#394C22semidirect
114. #2373C22semidirect
115. #2372C22semidirect
116. #2335C22semidirect
117. #2319C22semidirect
118. C4×#120C22semidirect
119. C2×#391C22semidirect
120. C2×#391C22semidirect
121. C2×#391C22semidirect
122. C2×#391C22semidirect
123. C2×#391C22semidirect
129. C2×#389C22semidirect
130. C2×#389C22semidirect
131. C2×#389C22semidirect
132. C2×#389C22semidirect
133. C2×#389C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. #2280C22semidirect
194. C2×#381C22semidirect
199. C2×#380C22semidirect
204. C2×C4×C4⋊C4C22semidirect
205. C2×C4×C4⋊C4C22semidirect
206. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×#376C22semidirect
217. C2×#376C22semidirect
218. C2×#376C22semidirect
244. C2×#125C23semidirect
250. C2×#124C23semidirect
362. #401C23semidirect
363. #400C23semidirect
364. #400C23semidirect
365. #400C23semidirect
366. #400C23semidirect
367. #400C23semidirect
369. #398C23semidirect
375. #397C23semidirect
376. #397C23semidirect
377. #397C23semidirect
381. #396C23semidirect
382. #396C23semidirect
383. #396C23semidirect
384. #395C23semidirect
385. #395C23semidirect
394. #394C23semidirect
402. #391C23semidirect
403. #391C23semidirect
404. #391C23semidirect
405. #391C23semidirect
406. #391C23semidirect
412. #389C23semidirect
413. #389C23semidirect
414. #389C23semidirect
415. #389C23semidirect
416. #389C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #388C23semidirect
435. #388C23semidirect
436. #388C23semidirect
437. #388C23semidirect
438. #388C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #387C23semidirect
443. #387C23semidirect
444. #387C23semidirect
445. #387C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
461. #386C23semidirect
462. #386C23semidirect
470. #385C23semidirect
471. #385C23semidirect
476. #381C23semidirect
481. #380C23semidirect
486. C4×C4⋊C4C23semidirect
487. C4×C4⋊C4C23semidirect
488. C4×C4⋊C4C23semidirect
496. C4×C22⋊C4C23semidirect
497. C4×C22⋊C4C23semidirect
498. #376C23semidirect
499. #376C23semidirect
500. #376C23semidirect
1513. C2#37991direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27882
C2×#27792
C2×#27782
C2×#27362
C2×#27152
C2×#26972
C2×#26852
C2×#26702
#379912
C2×#28492
C2×#26112
C2×#26102
C2×#25582
C2×#25572
C2×#25272
C2×#25262
C2×#25162
C2×#24702
C2×#24742
C2×#24472
C2×#24572
C2×#24602
C2×#24592
C2×#26652
C2×#26302
C2×#23732
C2×#23722
C2×#23352
C2×#23192
C2×C4×#1202
C2×#22802