Finite Group Databasebeta

← C2×#39556 #7636760

Subgroups — C2×#39556 #7636760

Order 512.

7840 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2782C211yesmaximal, characteristic, complemented
2C2×#2778C211yesmaximal, characteristic, complemented
3C2×#2778C211yesmaximal, characteristic, complemented
4C2×#2750C211yesmaximal, characteristic, complemented
5C2×#2749C211yesmaximal, characteristic, complemented
6C2×#2746C211yesmaximal, characteristic, complemented
7C2×#2728C211yesmaximal, characteristic, complemented
8C2×#2696C211yesmaximal, characteristic, complemented
9#39556C2132yesmaximal, direct product factor
10C2×#2848C211yesmaximal, characteristic, complemented
11C2×#2600C211yesmaximal, characteristic, complemented
12C2×#2598C211yesmaximal, characteristic, complemented
13C2×#2578C211yesmaximal, characteristic, complemented
14C2×#2578C211yesmaximal, characteristic, complemented
15C2×#2576C211yesmaximal, characteristic, complemented
16C2×#2493C211yesmaximal, characteristic, complemented
17C2×#2493C211yesmaximal, characteristic, complemented
18C2×#2488C211yesmaximal, characteristic, complemented
19C2×#2477C211yesmaximal, characteristic, complemented
20C2×#2457C211yesmaximal, characteristic, complemented
21C2×#2419C211yesmaximal, characteristic, complemented
22C2×#2412C211yesmaximal, characteristic, complemented
23C2×#2463C211yesmaximal, characteristic, complemented
24C2×#2437C211yesmaximal, characteristic, complemented
25C2×#2622C211yesmaximal, characteristic, complemented
26C2×#2613C211yesmaximal, characteristic
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2312C211yesmaximal, characteristic, complemented
30C2×#2308C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#386C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic, complemented
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic, complemented
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic, complemented
45C22×C4×D4C2211yescharacteristic, complemented
46C22×C4×D4C2211yescharacteristic, complemented
47C22×#117C2211yescharacteristic, complemented
48C23×C22⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53#2848C22116yescomplemented
54#2782C22116yescomplemented
55#2778C22116yescomplemented
56#2778C22116yescomplemented
57#2750C22116yescomplemented
58#2749C22116yescomplemented
59#2746C22116yescomplemented
60#2728C22116yescomplemented
61#2696C22116yescomplemented
62#2622C22116yescomplemented
63#2613C22116yes—
64#2600C22116yescomplemented
65#2598C22116yescomplemented
66#2578C22116yescomplemented
67#2578C22116yescomplemented
68#2576C22116yescomplemented
69#2493C22116yescomplemented
70#2493C22116yescomplemented
71#2488C22116yescomplemented
72#2477C22116yescomplemented
73#2463C22116yescomplemented
74#2457C22116yescomplemented
75#2437C22116yescomplemented
76#2419C22116yescomplemented
77#2412C22116yescomplemented
78C2×#401C2211yescharacteristic, complemented
79C2×#401C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#399C2211yescharacteristic, complemented
90C2×#398C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic, complemented
107C2×#394C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic, complemented
109C2×#394C2211yescharacteristic, complemented
110C2×#394C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic, complemented
112C2×#393C2211yescharacteristic, complemented
113C2×#393C2211yescharacteristic, complemented
114C2×#392C2211yescharacteristic
115C2×#392C2211yescharacteristic
116C2×#392C2211yescharacteristic
117C2×#392C2211yescharacteristic
118#2358C22116yescomplemented
119#2342C22116yescomplemented
120#2312C22116yescomplemented
121#2308C22116yescomplemented
122C4×#120C22116yescomplemented
123C2×#391C2211yescharacteristic, complemented
124C2×#390C2211yescharacteristic, complemented
125C2×#388C2211yescharacteristic, complemented
126C2×#388C2211yescharacteristic, complemented
127C2×#388C2211yescharacteristic, complemented
128C2×#388C2211yescharacteristic, complemented
129C2×#388C2211yescharacteristic, complemented
130C2×#388C2211yescharacteristic, complemented
131C2×#388C2211yescharacteristic, complemented
132C2×#388C2211yescharacteristic, complemented
133C2×#388C2211yescharacteristic, complemented
134C2×#388C2211yescharacteristic, complemented
135C2×#388C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic, complemented
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#387C2211yescharacteristic, complemented
142C2×#387C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#386C2211yescharacteristic
150C2×#386C2211yescharacteristic
151C2×#386C2211yescharacteristic
152C2×#386C2211yescharacteristic
153C2×#386C2211yescharacteristic
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C22116yescomplemented
169C2×#386C2211yescharacteristic, complemented
170C2×#386C2211yescharacteristic, complemented
171C2×#386C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic, complemented
173C2×#386C2211yescharacteristic, complemented
174C2×#385C2211yescharacteristic
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic, complemented
180C2×#385C2211yescharacteristic, complemented
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#383C2211yescharacteristic, complemented
191C2×#383C2211yescharacteristic, complemented
192C2×#382C2211yescharacteristic, complemented
193C2×#381C2211yescharacteristic
194C2×#381C2211yescharacteristic
195C2×#381C2211yescharacteristic
196C2×#381C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic, complemented
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic, complemented
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#379C2211yescharacteristic
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—28no—
223C23×D4—28no—
224C23×D4—44no—
225C23×D4C2311yescharacteristic
226C23×D4C2318yes—
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C24×C4—44no—
236C24×C4—44no—
237C24×C4—44no—
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2318yes—
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C2×#123—44no—
254C2×#123—44no—
255C2×#123C2318yes—
256C2×#123C2318yescomplemented
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8—44no—
259C2×C22⋊Q8—44no—
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8C2318yes—
262C2×C22⋊Q8C2318yescomplemented
263C2×C22⋊Q8C2318yescomplemented
264C2×C22⋊Q8C2318yescomplemented
265C2×#120—28no—
266C2×#120—28no—
267C2×#120C2318yes—
268C2×#120C2318yes—
269C2×C4×D4—44no—
270C2×C4×D4—44no—
271C2×C4×D4—44no—
272C2×C4×D4—44no—
273C2×C4×D4C2318yes—
274C2×C4×D4C2318yescomplemented
275C2×C4×D4C2318yescomplemented
276C2×C4×D4C2318yescomplemented
277C2×#117—44no—
278C2×#117C2318yescomplemented
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×C22⋊C4—28no—
302C22×C22⋊C4—28no—
303C22×C22⋊C4—44no—
304C22×C22⋊C4—44no—
305C22×C22⋊C4—44no—
306C22×C22⋊C4C2318yes—
307C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
331C22×C22⋊C4C2318yes—
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×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2318yes—
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2311yescharacteristic
370#401C2318yescomplemented
371#401C2318yescomplemented
372#400C2318yescomplemented
373#400C2318yescomplemented
374#400C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#400C2318yescomplemented
378#400C2318yescomplemented
379#400C2318yescomplemented
380#400C2318yescomplemented
381#399C2318yescomplemented
382#398C2318yescomplemented
383#397C2318yescomplemented
384#397C2318yescomplemented
385#397C2318yescomplemented
386#397C2318yescomplemented
387#397C2318yescomplemented
388#397C2318yescomplemented
389#397C2318yescomplemented
390#397C2318yescomplemented
391#397C2318yescomplemented
392#396C2318yescomplemented
393#396C2318yescomplemented
394#394C2318yes—
395#394C2318yes—
396#394C2318yes—
397#394C2318yes—
398#394C2318yescomplemented
399#394C2318yescomplemented
400#394C2318yescomplemented
401#394C2318yescomplemented
402#394C2318yescomplemented
403#394C2318yescomplemented
404#393C2318yescomplemented
405#393C2318yescomplemented
406#392C2318yes—
407#392C2318yes—
408#392C2318yes—
409#392C2318yes—
410#391C2318yescomplemented
411#390C2318yescomplemented
412#388C2318yescomplemented
413#388C2318yescomplemented
414#388C2318yescomplemented
415#388C2318yescomplemented
416#388C2318yescomplemented
417#388C2318yescomplemented
418#388C2318yescomplemented
419#388C2318yescomplemented
420#388C2318yescomplemented
421#388C2318yescomplemented
422#388C2318yescomplemented
423#388C2318yescomplemented
424#388C2318yescomplemented
425#388C2318yescomplemented
426#388C2318yescomplemented
427#388C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#386C2318yes—
437#386C2318yes—
438#386C2318yes—
439#386C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#386C2318yes—
449#386C2318yes—
450#386C2318yes—
451#386C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yescomplemented
456#386C2318yescomplemented
457#386C2318yescomplemented
458#386C2318yescomplemented
459#386C2318yescomplemented
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yescomplemented
466#385C2318yescomplemented
467#385C2318yescomplemented
468#385C2318yescomplemented
469#385C2318yescomplemented
470#385C2318yescomplemented
471#385C2318yescomplemented
472#385C2318yescomplemented
473#385C2318yescomplemented
474#385C2318yescomplemented
475#385C2318yescomplemented
476#383C2318yescomplemented
477#383C2318yescomplemented
478#382C2318yescomplemented
479#381C2318yes—
480#381C2318yes—
481#381C2318yes—
482#381C2318yescomplemented
483#381C2318yescomplemented
484#381C2318yescomplemented
485#380C2318yes—
486#380C2318yes—
487#380C2318yes—
488#380C2318yescomplemented
489#380C2318yescomplemented
490#380C2318yescomplemented
491#380C2318yescomplemented
492#379C2318yes—
493#379C2318yes—
494#379C2318yes—
495#379C2318yes—
496C4×C22⋊C4C2318yes—
497C4×C22⋊C4C2318yes—
498C4×C22⋊C4C2318yes—
499C4×C22⋊C4C2318yescomplemented
500C4×C22⋊C4C2318yescomplemented
501C4×C22⋊C4C2318yescomplemented
502C4×C22⋊C4C2318yescomplemented
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
547C2×#95C2318yes—
548C2×#95C2318yes—
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—42no—
558C25—42no—
559C25—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25#4118yes—
566C25#4118yes—
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2414yes—
574C25C2414yes—
575C22×Q8—24no—
576C22×Q8—42no—
577C22×Q8—42no—
578C22×Q8C2414yes—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—232no—
593C22×D4—232no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—416no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—464no—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—24no—
633C23×C4—24no—
634C23×C4—24no—
635C23×C4—416no—
636C23×C4—416no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—416no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—42no—
664C23×C4—464no—
665C23×C4C2414yes—
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2414yes—
695C23×C4C2414yes—
696C23×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704#123—416no—
705#123—416no—
706C22⋊Q8—416no—
707C22⋊Q8—416no—
708C22⋊Q8—416no—
709C22⋊Q8—416no—
710#120—232no—
711#120—232no—
712C4×D4—416no—
713C4×D4—416no—
714C4×D4—416no—
715C4×D4—416no—
716#117—416no—
717C2×C4⋊C4—24no—
718C2×C4⋊C4—24no—
719C2×C4⋊C4—24no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—24no—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—232no—
770C2×C22⋊C4—232no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—416no—
786C2×C22⋊C4—416no—
787C2×C22⋊C4—416no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4—42no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
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×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C42—24no—
871C2×C42—42no—
872C2×C42—42no—
873C2×C42—42no—
874C2×C42—42no—
875C2×C42—42no—
876C2×C42—42no—
877C2×C42C2414yes—
878C2×C42C2414yes—
879C2×C42C2414yes—
880C2×C42C2414yes—
881C2×C42C2414yes—
882C2×C42C2414yes—
883C2×C42C2414yes—
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—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—232no—
937C24—28no—
938C24—22no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—28no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—232no—
964C24—28no—
965C24—28no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—44no—
974C24—44no—
975C24—416no—
976C24—416no—
977C24—44no—
978C24—44no—
979C24—44no—
980C24—44no—
981C24—416no—
982C24—416no—
983C24—44no—
984C24—44no—
985C24—416no—
986C24—416no—
987C24—416no—
988C24—416no—
989C24—88no—
990C24—88no—
991C24—88no—
992C24—88no—
993C24C2×#4114yes—
994C24C2×#4114yes—
995C24C2×#4114yes—
996C24C2×#4114yes—
997C24C2×#4114yes—
998C24C2×#4114yes—
999C24C2×#41116yes—
1000C24C2×#41116yes—
1001C24H(5,𝔽2)14yes—
1002C24C2512yes—
1003C24C2512yes—
1004C24C2512yes—
1005C24C2512yes—
1006C24C2512yes—
1007C24C2512yes—
1008C24C2511yescharacteristic
1009C2×Q8—28no—
1010C2×Q8—44no—
1011C2×Q8—44no—
1012C2×Q8—88no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—28no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—416no—
1041C2×D4—416no—
1042C2×D4—416no—
1043C2×D4—416no—
1044C2×D4—4128no—
1045C2×D4—416no—
1046C2×D4—416no—
1047C2×D4—416no—
1048C2×D4—416no—
1049C2×D4—88no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—28no—
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—28no—
1070C22×C4—28no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—28no—
1109C22×C4—28no—
1110C22×C4—28no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—28no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—28no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—416no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—416no—
1167C22×C4—416no—
1168C22×C4—416no—
1169C22×C4—416no—
1170C22×C4—416no—
1171C22×C4—4128no—
1172C22×C4—416no—
1173C22×C4—416no—
1174C22×C4—88no—
1175C22×C4—88no—
1176C22×C4—88no—
1177C22×C4—88no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4H(5,𝔽2)14yes—
1181C22×C4H(5,𝔽2)14yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C42—28no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—28no—
1293C23—28no—
1294C23—28no—
1295C23—28no—
1296C23—28no—
1297C23—28no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—28no—
1323C23—28no—
1324C23—232no—
1325C23—28no—
1326C23—28no—
1327C23—28no—
1328C23—28no—
1329C23—28no—
1330C23—28no—
1331C23—28no—
1332C23—28no—
1333C23—28no—
1334C23—28no—
1335C23—232no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—416no—
1344C23—416no—
1345C23—416no—
1346C23—416no—
1347C23—416no—
1348C23—416no—
1349C23—416no—
1350C23—4128no—
1351C23—416no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—88no—
1376C23—88no—
1377C23—88no—
1378C23—864no—
1379C23—88no—
1380C23#551116yes—
1381C23C22×#4114yes—
1382C23C22×#4114yes—
1383C23C22×#4114yes—
1384C23C22×#4114yes—
1385C23C22×#4114yes—
1386C23C22×#4114yes—
1387C23C22×#4112yes—
1388C23C22×#4112yes—
1389C23C2×H(5,𝔽2)14yes—
1390C23C2×H(5,𝔽2)12yes—
1391C23C2×H(5,𝔽2)12yes—
1392C23C2×H(5,𝔽2)12yes—
1393C23#58512yes—
1394C23#58512yes—
1395C23C2611yescharacteristic
1396Q8—88no—
1397D4—416no—
1398D4—416no—
1399D4—416no—
1400D4—416no—
1401D4—416no—
1402D4—416no—
1403D4—416no—
1404D4—416no—
1405D4—88no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—28no—
1411C2×C4—28no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—416no—
1482C2×C4—416no—
1483C2×C4—416no—
1484C2×C4—416no—
1485C2×C4—416no—
1486C2×C4—416no—
1487C2×C4—416no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—416no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—88no—
1513C2×C4—88no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4C2×H(5,𝔽2)14yes—
1519C2×C4C2×H(5,𝔽2)14yes—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—232no—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—24no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—24no—
1536C22—24no—
1537C22—24no—
1538C22—24no—
1539C22—464no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—416no—
1551C22—416no—
1552C22—416no—
1553C22—416no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—832no—
1568C22—88no—
1569C22#345914yes—
1570C22C2×#55118yes—
1571C22C2×#55114yes—
1572C22#350514yes—
1573C22#350514yes—
1574C22#350514yes—
1575C22#353214yes—
1576C22#353314yes—
1577C22C23×#4111yescharacteristic
1578C22C23×#4111yescharacteristic
1579C22C22×H(5,𝔽2)11yescharacteristic
1580C22C22×H(5,𝔽2)11yescharacteristic
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C2×#58511yescharacteristic
1583C22C2×#58511yescharacteristic
1584C4—24no—
1585C4—24no—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C2—28no—
1610C2—44no—
1611C2—44no—
1612C2—44no—
1613C2—44no—
1614C2—82no—
1615C2#3955618yesdirect product factor
1616C2C2×#345911yescharacteristic
1617C2C22×#55111yescharacteristic
1618C2C2×#353211yescharacteristic
1619C2C2×#353311yescharacteristic
1620C2C2×#350511yescharacteristic
1621C2C2×#350511yescharacteristic
1622C2C2×#350511yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2613C2
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×#2782C2semidirect
2. C2×#2778C2semidirect
3. C2×#2778C2semidirect
4. C2×#2750C2semidirect
5. C2×#2749C2semidirect
6. C2×#2746C2semidirect
7. C2×#2728C2semidirect
8. C2×#2696C2semidirect
9. #39556C2direct (N × H)
10. C2×#2848C2semidirect
11. C2×#2600C2semidirect
12. C2×#2598C2semidirect
13. C2×#2578C2semidirect
14. C2×#2578C2semidirect
15. C2×#2576C2semidirect
16. C2×#2493C2semidirect
17. C2×#2493C2semidirect
18. C2×#2488C2semidirect
19. C2×#2477C2semidirect
20. C2×#2457C2semidirect
21. C2×#2419C2semidirect
22. C2×#2412C2semidirect
23. C2×#2463C2semidirect
24. C2×#2437C2semidirect
25. C2×#2622C2semidirect
27. C2×#2358C2semidirect
28. C2×#2342C2semidirect
29. C2×#2312C2semidirect
30. C2×#2308C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#386C2semidirect
36. C22×#123C22semidirect
38. C22×C22⋊Q8C22semidirect
39. C22×C22⋊Q8C22semidirect
40. C22×C22⋊Q8C22semidirect
44. C22×C4×D4C22semidirect
45. C22×C4×D4C22semidirect
46. C22×C4×D4C22semidirect
47. C22×#117C22semidirect
53. #2848C22semidirect
54. #2782C22semidirect
55. #2778C22semidirect
56. #2778C22semidirect
57. #2750C22semidirect
58. #2749C22semidirect
59. #2746C22semidirect
60. #2728C22semidirect
61. #2696C22semidirect
62. #2622C22semidirect
64. #2600C22semidirect
65. #2598C22semidirect
66. #2578C22semidirect
67. #2578C22semidirect
68. #2576C22semidirect
69. #2493C22semidirect
70. #2493C22semidirect
71. #2488C22semidirect
72. #2477C22semidirect
73. #2463C22semidirect
74. #2457C22semidirect
75. #2437C22semidirect
76. #2419C22semidirect
77. #2412C22semidirect
78. C2×#401C22semidirect
79. C2×#401C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#399C22semidirect
90. C2×#398C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
106. C2×#394C22semidirect
107. C2×#394C22semidirect
108. C2×#394C22semidirect
109. C2×#394C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#393C22semidirect
113. C2×#393C22semidirect
118. #2358C22semidirect
119. #2342C22semidirect
120. #2312C22semidirect
121. #2308C22semidirect
122. C4×#120C22semidirect
123. C2×#391C22semidirect
124. C2×#390C22semidirect
125. C2×#388C22semidirect
126. C2×#388C22semidirect
127. C2×#388C22semidirect
128. C2×#388C22semidirect
129. C2×#388C22semidirect
130. C2×#388C22semidirect
131. C2×#388C22semidirect
132. C2×#388C22semidirect
133. C2×#388C22semidirect
134. C2×#388C22semidirect
135. C2×#388C22semidirect
136. C2×#388C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#387C22semidirect
142. C2×#387C22semidirect
143. C2×#387C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
168. C2×#386C22semidirect
169. C2×#386C22semidirect
170. C2×#386C22semidirect
171. C2×#386C22semidirect
172. C2×#386C22semidirect
173. C2×#386C22semidirect
179. C2×#385C22semidirect
180. C2×#385C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#383C22semidirect
191. C2×#383C22semidirect
192. C2×#382C22semidirect
196. C2×#381C22semidirect
197. C2×#381C22semidirect
198. C2×#381C22semidirect
202. C2×#380C22semidirect
203. C2×#380C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
256. C2×#123C23semidirect
262. C2×C22⋊Q8C23semidirect
263. C2×C22⋊Q8C23semidirect
264. C2×C22⋊Q8C23semidirect
274. C2×C4×D4C23semidirect
275. C2×C4×D4C23semidirect
276. C2×C4×D4C23semidirect
278. C2×#117C23semidirect
370. #401C23semidirect
371. #401C23semidirect
372. #400C23semidirect
373. #400C23semidirect
374. #400C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
380. #400C23semidirect
381. #399C23semidirect
382. #398C23semidirect
383. #397C23semidirect
384. #397C23semidirect
385. #397C23semidirect
386. #397C23semidirect
387. #397C23semidirect
388. #397C23semidirect
389. #397C23semidirect
390. #397C23semidirect
391. #397C23semidirect
392. #396C23semidirect
393. #396C23semidirect
398. #394C23semidirect
399. #394C23semidirect
400. #394C23semidirect
401. #394C23semidirect
402. #394C23semidirect
403. #394C23semidirect
404. #393C23semidirect
405. #393C23semidirect
410. #391C23semidirect
411. #390C23semidirect
412. #388C23semidirect
413. #388C23semidirect
414. #388C23semidirect
415. #388C23semidirect
416. #388C23semidirect
417. #388C23semidirect
418. #388C23semidirect
419. #388C23semidirect
420. #388C23semidirect
421. #388C23semidirect
422. #388C23semidirect
423. #388C23semidirect
424. #388C23semidirect
425. #388C23semidirect
426. #388C23semidirect
427. #388C23semidirect
428. #387C23semidirect
429. #387C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
455. #386C23semidirect
456. #386C23semidirect
457. #386C23semidirect
458. #386C23semidirect
459. #386C23semidirect
465. #385C23semidirect
466. #385C23semidirect
467. #385C23semidirect
468. #385C23semidirect
469. #385C23semidirect
470. #385C23semidirect
471. #385C23semidirect
472. #385C23semidirect
473. #385C23semidirect
474. #385C23semidirect
475. #385C23semidirect
476. #383C23semidirect
477. #383C23semidirect
478. #382C23semidirect
482. #381C23semidirect
483. #381C23semidirect
484. #381C23semidirect
488. #380C23semidirect
489. #380C23semidirect
490. #380C23semidirect
491. #380C23semidirect
499. C4×C22⋊C4C23semidirect
500. C4×C22⋊C4C23semidirect
501. C4×C22⋊C4C23semidirect
502. C4×C22⋊C4C23semidirect
1615. C2#39556direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27822
C2×#27782
C2×#27502
C2×#27492
C2×#27462
C2×#27282
C2×#26962
#395562
C2×#28482
C2×#26002
C2×#25982
C2×#25782
C2×#25762
C2×#24932
C2×#24882
C2×#24772
C2×#24572
C2×#24192
C2×#24122
C2×#24632
C2×#24372
C2×#26222
C2×#26132
C2×#23582
C2×#23422
C2×#23122
C2×#23082
C2×C4×#1202
C22×#3862