Finite Group Databasebeta

← C2×#43574 #7667696

Subgroups — C2×#43574 #7667696

Order 512.

7626 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2760C211yesmaximal, characteristic, complemented
2C2×#2751C211yesmaximal, characteristic, complemented
3C2×#2745C211yesmaximal, characteristic, complemented
4C2×#2737C211yesmaximal, characteristic, complemented
5C2×#2737C211yesmaximal, characteristic, complemented
6C2×#2736C211yesmaximal, characteristic, complemented
7C2×#2696C211yesmaximal, characteristic, complemented
8C2×#2684C211yesmaximal, characteristic, complemented
9#43574C2132yesmaximal, direct product factor
10C2×#2610C211yesmaximal, characteristic, complemented
11C2×#2572C211yesmaximal, characteristic, complemented
12C2×#2572C211yesmaximal, characteristic, complemented
13C2×#2561C211yesmaximal, characteristic, complemented
14C2×#2557C211yesmaximal, characteristic, complemented
15C2×#2527C211yesmaximal, characteristic, complemented
16C2×#2510C211yesmaximal, characteristic, complemented
17C2×#2510C211yesmaximal, characteristic, complemented
18C2×#2477C211yesmaximal, characteristic, complemented
19C2×#2436C211yesmaximal, characteristic, complemented
20C2×#2409C211yesmaximal, characteristic, complemented
21C2×#2444C211yesmaximal, characteristic, complemented
22C2×#2444C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic, complemented
24C2×#2412C211yesmaximal, characteristic, complemented
25C2×#2410C211yesmaximal, characteristic
26C22×#393C211yesmaximal, characteristic, complemented
27C2×#2364C211yesmaximal, characteristic, complemented
28C2×#2353C211yesmaximal, characteristic, complemented
29C2×#2342C211yesmaximal, characteristic, complemented
30C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
31C2×#2321C211yesmaximal, characteristic, complemented
32C2×#2308C211yesmaximal, characteristic, complemented
33C24×Q8C2211yescharacteristic, complemented
34C24×D4C2211yescharacteristic
35C22×#124C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic, complemented
38C22×C22⋊Q8C2211yescharacteristic, complemented
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic, complemented
47C22×#117C2211yescharacteristic, complemented
48C23×C22⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53#2760C22116yescomplemented
54#2751C22116yescomplemented
55#2745C22116yescomplemented
56#2737C22116yescomplemented
57#2737C22116yescomplemented
58#2736C22116yescomplemented
59#2696C22116yescomplemented
60#2684C22116yescomplemented
61#2610C22116yescomplemented
62#2572C22116yescomplemented
63#2572C22116yescomplemented
64#2561C22116yescomplemented
65#2557C22116yescomplemented
66#2527C22116yescomplemented
67#2510C22116yescomplemented
68#2510C22116yescomplemented
69#2477C22116yescomplemented
70#2472C22116yescomplemented
71#2444C22116yescomplemented
72#2444C22116yescomplemented
73#2436C22116yescomplemented
74#2412C22116yescomplemented
75#2410C22116yes—
76#2409C22116yescomplemented
77C2×#401C2211yescharacteristic, complemented
78C2×#401C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#397C2211yescharacteristic
84C2×#397C2211yescharacteristic
85C2×#397C2211yescharacteristic, complemented
86C2×#397C2211yescharacteristic, complemented
87C2×#397C2211yescharacteristic, complemented
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#395C2211yescharacteristic, complemented
94C2×#395C2211yescharacteristic, complemented
95C2×#394C2211yescharacteristic
96C2×#394C2211yescharacteristic
97C2×#394C2211yescharacteristic
98C2×#394C2211yescharacteristic
99C2×#394C2211yescharacteristic, complemented
100C2×#394C2211yescharacteristic, complemented
101C2×#393C2211yescharacteristic
102C2×#393C2211yescharacteristic
103C2×#393C2211yescharacteristic
104C2×#393C2211yescharacteristic
105C2×#393C2211yescharacteristic, complemented
106C2×#393C2211yescharacteristic, complemented
107C2×#393C2211yescharacteristic, complemented
108C2×#393C2211yescharacteristic, complemented
109C2×#393C2211yescharacteristic, complemented
110C2×#393C2211yescharacteristic, complemented
111C2×#393C2211yescharacteristic, complemented
112C2×#393C2211yescharacteristic, complemented
113C2×#393C2211yescharacteristic, complemented
114C2×#393C2211yescharacteristic, complemented
115C2×#393C22116yescomplemented
116C2×#392C2211yescharacteristic
117C2×#392C2211yescharacteristic
118#2364C22116yescomplemented
119#2353C22116yescomplemented
120#2342C22116yescomplemented
121D4×C22⋊C4C22116yescomplemented
122#2321C22116yescomplemented
123#2308C22116yescomplemented
124C2×#391C2211yescharacteristic, complemented
125C2×#391C2211yescharacteristic, complemented
126C2×#391C2211yescharacteristic, complemented
127C2×#391C2211yescharacteristic, complemented
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic, complemented
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#388C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic, complemented
146C2×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic, complemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#383C2211yescharacteristic, complemented
189C2×#383C2211yescharacteristic, complemented
190C2×#383C2211yescharacteristic, complemented
191C2×#381C2211yescharacteristic
192C2×#381C2211yescharacteristic
193C2×#381C2211yescharacteristic, complemented
194C2×#381C2211yescharacteristic, complemented
195C2×#381C2211yescharacteristic, complemented
196C2×#381C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic, complemented
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic, complemented
200C2×#380C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic, complemented
202C2×#379C2211yescharacteristic
203C2×#379C2211yescharacteristic
204C2×#379C2211yescharacteristic
205C2×#379C2211yescharacteristic
206C2×#379C2211yescharacteristic
207C2×C4×C22⋊C4C2211yescharacteristic
208C2×C4×C22⋊C4C2211yescharacteristic, complemented
209C2×C4×C22⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic, complemented
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×#376C2211yescharacteristic, complemented
216C22×#95C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8—44no—
222C23×Q8—44no—
223C23×Q8—44no—
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×Q8C2311yescharacteristic
227C23×Q8C2311yescharacteristic
228C23×Q8C2318yescomplemented
229C23×D4—28no—
230C23×D4—28no—
231C23×D4—44no—
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2318yes—
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C2×#124—44no—
255C2×#124—44no—
256C2×#124C2318yescomplemented
257C2×#124C2318yescomplemented
258C2×#123—44no—
259C2×#123C2318yescomplemented
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8—44no—
262C2×C22⋊Q8C2318yescomplemented
263C2×C22⋊Q8C2318yescomplemented
264C2×#121—28no—
265C2×#121—44no—
266C2×#121C2318yes—
267C2×#121C2318yes—
268C2×#120—28no—
269C2×#120—44no—
270C2×#120C2318yes—
271C2×#120C2318yes—
272C2×C4×D4—28no—
273C2×C4×D4—44no—
274C2×C4×D4—44no—
275C2×C4×D4C2318yes—
276C2×C4×D4C2318yes—
277C2×C4×D4C2318yescomplemented
278C2×#117—44no—
279C2×#117C2318yescomplemented
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×C22⋊C4—28no—
296C22×C22⋊C4—44no—
297C22×C22⋊C4—44no—
298C22×C22⋊C4—44no—
299C22×C22⋊C4—44no—
300C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
321C22×C22⋊C4C2318yes—
322C22×C22⋊C4C2318yes—
323C22×C22⋊C4C2318yes—
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×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⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368#401C2318yescomplemented
369#401C2318yescomplemented
370#400C2318yescomplemented
371#400C2318yescomplemented
372#400C2318yescomplemented
373#400C2318yescomplemented
374#397C2318yes—
375#397C2318yes—
376#397C2318yescomplemented
377#397C2318yescomplemented
378#397C2318yescomplemented
379#397C2318yescomplemented
380#397C2318yescomplemented
381#397C2318yescomplemented
382#397C2318yescomplemented
383#397C2318yescomplemented
384#395C2318yescomplemented
385#395C2318yescomplemented
386#394C2318yes—
387#394C2318yes—
388#394C2318yes—
389#394C2318yes—
390#394C2318yescomplemented
391#394C2318yescomplemented
392#393C2318yes—
393#393C2318yes—
394#393C2318yes—
395#393C2318yes—
396#393C2318yescomplemented
397#393C2318yescomplemented
398#393C2318yescomplemented
399#393C2318yescomplemented
400#393C2318yescomplemented
401#393C2318yescomplemented
402#393C2318yescomplemented
403#393C2318yescomplemented
404#393C2318yescomplemented
405#393C2318yescomplemented
406#392C2318yes—
407#392C2318yes—
408#391C2318yescomplemented
409#391C2318yescomplemented
410#391C2318yescomplemented
411#391C2318yescomplemented
412#390C2318yes—
413#390C2318yes—
414#390C2318yes—
415#390C2318yescomplemented
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
421#388C2318yes—
422#388C2318yescomplemented
423#388C2318yescomplemented
424#388C2318yescomplemented
425#388C2318yescomplemented
426#388C2318yescomplemented
427#388C2318yescomplemented
428#388C2318yescomplemented
429#388C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#388C2318yescomplemented
433#388C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#387C2318yescomplemented
439#387C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
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#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yescomplemented
459#386C2318yescomplemented
460#386C2318yescomplemented
461#386C2318yescomplemented
462#386C2318yescomplemented
463#386C2318yescomplemented
464#386C2318yescomplemented
465#386C2318yescomplemented
466#386C2318yescomplemented
467#385C2318yes—
468#385C2318yescomplemented
469#385C2318yescomplemented
470#385C2318yescomplemented
471#385C2318yescomplemented
472#383C2318yescomplemented
473#383C2318yescomplemented
474#383C2318yescomplemented
475#381C2318yes—
476#381C2318yes—
477#381C2318yescomplemented
478#381C2318yescomplemented
479#381C2318yescomplemented
480#381C2318yescomplemented
481#381C2318yescomplemented
482#380C2318yes—
483#380C2318yescomplemented
484#380C2318yescomplemented
485#380C2318yescomplemented
486#379C2318yes—
487#379C2318yes—
488#379C2318yes—
489#379C2318yes—
490#379C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yescomplemented
493C4×C22⋊C4C2318yescomplemented
494C4×C22⋊C4C2318yescomplemented
495C4×C22⋊C4C2318yescomplemented
496C4×C22⋊C4C2318yescomplemented
497C4×C22⋊C4C2318yescomplemented
498C4×C22⋊C4C2318yescomplemented
499#376C2318yescomplemented
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
502C2×#95C2311yescharacteristic
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2318yescomplemented
551C2×#95C2318yescomplemented
552C2×#95C2318yescomplemented
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—42no—
566C25#4118yes—
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2411yescharacteristic
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2414yes—
574C25C2414yes—
575C22×Q8—24no—
576C22×Q8—24no—
577C22×Q8—24no—
578C22×Q8—24no—
579C22×Q8—42no—
580C22×Q8—42no—
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8—42no—
587C22×Q8—416no—
588C22×Q8—416no—
589C22×Q8—416no—
590C22×Q8—464no—
591C22×Q8C2414yes—
592C22×Q8C2414yes—
593C22×Q8C2414yes—
594C22×Q8C2414yes—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—232no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—232no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—416no—
624C22×D4—464no—
625C22×D4#4118yes—
626C22×D4C2414yes—
627C22×D4C2414yes—
628C22×D4C2414yes—
629C22×D4C2414yes—
630C22×D4C2414yes—
631C22×D4C2414yes—
632C22×D4C2414yes—
633C22×D4C2414yes—
634C22×D4C2414yes—
635C23×C4—24no—
636C23×C4—24no—
637C23×C4—24no—
638C23×C4—24no—
639C23×C4—24no—
640C23×C4—24no—
641C23×C4—24no—
642C23×C4—24no—
643C23×C4—24no—
644C23×C4—24no—
645C23×C4—24no—
646C23×C4—24no—
647C23×C4—24no—
648C23×C4—24no—
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—42no—
665C23×C4—42no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
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×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2414yes—
694C23×C4C2414yes—
695C23×C4C2414yes—
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704C23×C4C2414yes—
705C23×C4C2414yes—
706C23×C4C2414yes—
707C23×C4C2414yes—
708#124—416no—
709#124—416no—
710#123—416no—
711C22⋊Q8—416no—
712C22⋊Q8—416no—
713#121—232no—
714#121—416no—
715#120—232no—
716#120—416no—
717C4×D4—232no—
718C4×D4—416no—
719C4×D4—416no—
720#117—416no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
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⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
752C2×C22⋊C4—24no—
753C2×C22⋊C4—24no—
754C2×C22⋊C4—24no—
755C2×C22⋊C4—232no—
756C2×C22⋊C4—24no—
757C2×C22⋊C4—24no—
758C2×C22⋊C4—24no—
759C2×C22⋊C4—24no—
760C2×C22⋊C4—24no—
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—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—416no—
772C2×C22⋊C4—416no—
773C2×C22⋊C4—416no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
778C2×C22⋊C4—42no—
779C2×C22⋊C4—42no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—416no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
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⋊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×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×C42—24no—
865C2×C42—24no—
866C2×C42—42no—
867C2×C42—42no—
868C2×C42—42no—
869C2×C42—42no—
870C2×C42—42no—
871C2×C42—42no—
872C2×C42—42no—
873C2×C42C2414yes—
874C2×C42C2414yes—
875C2×C42C2414yes—
876C2×C42C2414yes—
877C2×C42C2414yes—
878C2×C42C2414yes—
879C2×C42C2414yes—
880C2×C42C2414yes—
881C2×C42C2414yes—
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—
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—22no—
937C24—22no—
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—22no—
952C24—22no—
953C24—22no—
954C24—232no—
955C24—28no—
956C24—28no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—28no—
972C24—28no—
973C24—44no—
974C24—44no—
975C24—44no—
976C24—44no—
977C24—416no—
978C24—416no—
979C24—44no—
980C24—44no—
981C24—44no—
982C24—44no—
983C24—44no—
984C24—416no—
985C24—416no—
986C24—88no—
987C24—88no—
988C24—88no—
989C24—88no—
990C24—88no—
991C24—88no—
992C24—88no—
993C24—88no—
994C24—88no—
995C24C2×#4114yes—
996C24C2×#4114yes—
997C24C2×#4114yes—
998C24C2×#4114yes—
999C24C2×#4114yes—
1000C24C2×#41116yes—
1001C24H(5,𝔽2)14yes—
1002C24C2512yes—
1003C24C2512yes—
1004C24C2512yes—
1005C24C2512yes—
1006C24C2512yes—
1007C24C2512yes—
1008C24C2511yescharacteristic
1009C2×Q8—28no—
1010C2×Q8—28no—
1011C2×Q8—28no—
1012C2×Q8—28no—
1013C2×Q8—44no—
1014C2×Q8—44no—
1015C2×Q8—44no—
1016C2×Q8—44no—
1017C2×Q8—44no—
1018C2×Q8—44no—
1019C2×Q8—44no—
1020C2×Q8—44no—
1021C2×Q8—416no—
1022C2×Q8—416no—
1023C2×Q8—416no—
1024C2×Q8—4128no—
1025C2×Q8—416no—
1026C2×D4—232no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—416no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—4128no—
1055C2×D4—416no—
1056C2×D4—416no—
1057C2×D4—416no—
1058C2×D4—88no—
1059C2×D4—88no—
1060C2×D4—88no—
1061C2×D4—88no—
1062C2×D4C2×#41116yes—
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—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—28no—
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—28no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
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—28no—
1121C22×C4—28no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—28no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—28no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—28no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
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—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—416no—
1172C22×C4—416no—
1173C22×C4—416no—
1174C22×C4—416no—
1175C22×C4—416no—
1176C22×C4—88no—
1177C22×C4—88no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4—88no—
1181C22×C4—88no—
1182C22×C4—88no—
1183C22×C4C2×#4114yes—
1184C22×C4H(5,𝔽2)14yes—
1185C22×C4H(5,𝔽2)14yes—
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—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
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—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
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—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
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—
1280C42—28no—
1281C42—28no—
1282C42—44no—
1283C42—44no—
1284C42—44no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—28no—
1294C23—28no—
1295C23—28no—
1296C23—28no—
1297C23—28no—
1298C23—28no—
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—28no—
1318C23—28no—
1319C23—28no—
1320C23—28no—
1321C23—28no—
1322C23—28no—
1323C23—28no—
1324C23—28no—
1325C23—28no—
1326C23—232no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—416no—
1342C23—416no—
1343C23—416no—
1344C23—416no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
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—88no—
1372C23—864no—
1373C23—88no—
1374C23—88no—
1375C23—88no—
1376C23—88no—
1377C23—88no—
1378C23—88no—
1379C23—88no—
1380C23—88no—
1381C23—864no—
1382C23#551116yes—
1383C23C22×#4114yes—
1384C23C22×#4114yes—
1385C23C22×#4114yes—
1386C23C22×#4114yes—
1387C23C22×#4114yes—
1388C23C22×#4112yes—
1389C23C22×#4112yes—
1390C23C2×H(5,𝔽2)14yes—
1391C23C2×H(5,𝔽2)12yes—
1392C23C2×H(5,𝔽2)12yes—
1393C23C2×H(5,𝔽2)12yes—
1394C23#58512yes—
1395C23#58512yes—
1396C23C2611yescharacteristic
1397Q8—416no—
1398Q8—416no—
1399Q8—416no—
1400Q8—416no—
1401D4—232no—
1402D4—416no—
1403D4—416no—
1404D4—416no—
1405D4—416no—
1406D4—88no—
1407D4—88no—
1408D4—88no—
1409D4—88no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—28no—
1417C2×C4—28no—
1418C2×C4—28no—
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—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—416no—
1486C2×C4—416no—
1487C2×C4—416no—
1488C2×C4—416no—
1489C2×C4—416no—
1490C2×C4—44no—
1491C2×C4—44no—
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×C4—88no—
1519C2×C4C22×#4114yes—
1520C2×C4C2×H(5,𝔽2)14yes—
1521C2×C4C2×H(5,𝔽2)14yes—
1522C22—24no—
1523C22—24no—
1524C22—24no—
1525C22—232no—
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—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—416no—
1544C22—416no—
1545C22—416no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
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—832no—
1569C22—88no—
1570C22—88no—
1571C22C2×#55118yes—
1572C22C2×#55114yes—
1573C22#350514yes—
1574C22#350514yes—
1575C22#351414yes—
1576C22#351414yes—
1577C22#353214yes—
1578C22#354514yes—
1579C22C23×#4111yescharacteristic
1580C22C23×#4111yescharacteristic
1581C22C22×H(5,𝔽2)11yescharacteristic
1582C22C22×H(5,𝔽2)11yescharacteristic
1583C22C22×H(5,𝔽2)11yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C4—24no—
1587C4—24no—
1588C4—24no—
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—
1609C4—42no—
1610C4—42no—
1611C2—28no—
1612C2—44no—
1613C2—44no—
1614C2—44no—
1615C2—82no—
1616C2—82no—
1617C2#4357418yesdirect product factor
1618C2C22×#55111yescharacteristic
1619C2C2×#353211yescharacteristic
1620C2C2×#354511yescharacteristic
1621C2C2×#350511yescharacteristic
1622C2C2×#350511yescharacteristic
1623C2C2×#351411yescharacteristic
1624C2C2×#351411yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2410C2
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×#2760C2semidirect
2. C2×#2751C2semidirect
3. C2×#2745C2semidirect
4. C2×#2737C2semidirect
5. C2×#2737C2semidirect
6. C2×#2736C2semidirect
7. C2×#2696C2semidirect
8. C2×#2684C2semidirect
9. #43574C2direct (N × H)
10. C2×#2610C2semidirect
11. C2×#2572C2semidirect
12. C2×#2572C2semidirect
13. C2×#2561C2semidirect
14. C2×#2557C2semidirect
15. C2×#2527C2semidirect
16. C2×#2510C2semidirect
17. C2×#2510C2semidirect
18. C2×#2477C2semidirect
19. C2×#2436C2semidirect
20. C2×#2409C2semidirect
21. C2×#2444C2semidirect
22. C2×#2444C2semidirect
23. C2×#2472C2semidirect
24. C2×#2412C2semidirect
26. C22×#393C2semidirect
27. C2×#2364C2semidirect
28. C2×#2353C2semidirect
29. C2×#2342C2semidirect
30. C2×D4×C22⋊C4C2semidirect
31. C2×#2321C2semidirect
32. C2×#2308C2semidirect
33. C24×Q8C22semidirect
35. C22×#124C22semidirect
36. C22×#124C22semidirect
37. C22×#123C22semidirect
38. C22×C22⋊Q8C22semidirect
39. C22×C22⋊Q8C22semidirect
46. C22×C4×D4C22semidirect
47. C22×#117C22semidirect
53. #2760C22semidirect
54. #2751C22semidirect
55. #2745C22semidirect
56. #2737C22semidirect
57. #2737C22semidirect
58. #2736C22semidirect
59. #2696C22semidirect
60. #2684C22semidirect
61. #2610C22semidirect
62. #2572C22semidirect
63. #2572C22semidirect
64. #2561C22semidirect
65. #2557C22semidirect
66. #2527C22semidirect
67. #2510C22semidirect
68. #2510C22semidirect
69. #2477C22semidirect
70. #2472C22semidirect
71. #2444C22semidirect
72. #2444C22semidirect
73. #2436C22semidirect
74. #2412C22semidirect
76. #2409C22semidirect
77. C2×#401C22semidirect
78. C2×#401C22semidirect
79. C2×#400C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
85. C2×#397C22semidirect
86. C2×#397C22semidirect
87. C2×#397C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#395C22semidirect
94. C2×#395C22semidirect
99. C2×#394C22semidirect
100. C2×#394C22semidirect
105. C2×#393C22semidirect
106. C2×#393C22semidirect
107. C2×#393C22semidirect
108. C2×#393C22semidirect
109. C2×#393C22semidirect
110. C2×#393C22semidirect
111. C2×#393C22semidirect
112. C2×#393C22semidirect
113. C2×#393C22semidirect
114. C2×#393C22semidirect
115. C2×#393C22semidirect
118. #2364C22semidirect
119. #2353C22semidirect
120. #2342C22semidirect
121. D4×C22⋊C4C22semidirect
122. #2321C22semidirect
123. #2308C22semidirect
124. C2×#391C22semidirect
125. C2×#391C22semidirect
126. C2×#391C22semidirect
127. C2×#391C22semidirect
131. C2×#390C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
143. C2×#388C22semidirect
144. C2×#388C22semidirect
145. C2×#388C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
174. C2×#386C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#383C22semidirect
189. C2×#383C22semidirect
190. C2×#383C22semidirect
193. C2×#381C22semidirect
194. C2×#381C22semidirect
195. C2×#381C22semidirect
196. C2×#381C22semidirect
197. C2×#381C22semidirect
199. C2×#380C22semidirect
200. C2×#380C22semidirect
201. C2×#380C22semidirect
208. C2×C4×C22⋊C4C22semidirect
209. C2×C4×C22⋊C4C22semidirect
210. C2×C4×C22⋊C4C22semidirect
211. C2×C4×C22⋊C4C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×#376C22semidirect
216. C22×#95C22semidirect
217. C22×#95C22semidirect
218. C22×#95C22semidirect
228. C23×Q8C23semidirect
256. C2×#124C23semidirect
257. C2×#124C23semidirect
259. C2×#123C23semidirect
262. C2×C22⋊Q8C23semidirect
263. C2×C22⋊Q8C23semidirect
277. C2×C4×D4C23semidirect
279. C2×#117C23semidirect
368. #401C23semidirect
369. #401C23semidirect
370. #400C23semidirect
371. #400C23semidirect
372. #400C23semidirect
373. #400C23semidirect
376. #397C23semidirect
377. #397C23semidirect
378. #397C23semidirect
379. #397C23semidirect
380. #397C23semidirect
381. #397C23semidirect
382. #397C23semidirect
383. #397C23semidirect
384. #395C23semidirect
385. #395C23semidirect
390. #394C23semidirect
391. #394C23semidirect
396. #393C23semidirect
397. #393C23semidirect
398. #393C23semidirect
399. #393C23semidirect
400. #393C23semidirect
401. #393C23semidirect
402. #393C23semidirect
403. #393C23semidirect
404. #393C23semidirect
405. #393C23semidirect
408. #391C23semidirect
409. #391C23semidirect
410. #391C23semidirect
411. #391C23semidirect
415. #390C23semidirect
422. #388C23semidirect
423. #388C23semidirect
424. #388C23semidirect
425. #388C23semidirect
426. #388C23semidirect
427. #388C23semidirect
428. #388C23semidirect
429. #388C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #388C23semidirect
433. #388C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
438. #387C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
458. #386C23semidirect
459. #386C23semidirect
460. #386C23semidirect
461. #386C23semidirect
462. #386C23semidirect
463. #386C23semidirect
464. #386C23semidirect
465. #386C23semidirect
466. #386C23semidirect
468. #385C23semidirect
469. #385C23semidirect
470. #385C23semidirect
471. #385C23semidirect
472. #383C23semidirect
473. #383C23semidirect
474. #383C23semidirect
477. #381C23semidirect
478. #381C23semidirect
479. #381C23semidirect
480. #381C23semidirect
481. #381C23semidirect
483. #380C23semidirect
484. #380C23semidirect
485. #380C23semidirect
492. C4×C22⋊C4C23semidirect
493. C4×C22⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. C4×C22⋊C4C23semidirect
496. C4×C22⋊C4C23semidirect
497. C4×C22⋊C4C23semidirect
498. C4×C22⋊C4C23semidirect
499. #376C23semidirect
550. C2×#95C23semidirect
551. C2×#95C23semidirect
552. C2×#95C23semidirect
1617. C2#43574direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27602
C2×#27512
C2×#27452
C2×#27372
C2×#27362
C2×#26962
C2×#26842
#435742
C2×#26102
C2×#25722
C2×#25612
C2×#25572
C2×#25272
C2×#25102
C2×#24772
C2×#24362
C2×#24092
C2×#24442
C2×#24722
C2×#24122
C2×#24102
C22×#3932
C2×#23642
C2×#23532
C2×#23422
C2×D4×C22⋊C42
C2×#23212
C2×#23082