Finite Group Databasebeta

← C2×#44586 #7669017

Subgroups — C2×#44586 #7669017

Order 512.

6316 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2804C211yesmaximal, characteristic, complemented
2C2×#2787C211yesmaximal, characteristic, complemented
3C2×#2782C211yesmaximal, characteristic, complemented
4C2×#2765C211yesmaximal, characteristic, complemented
5C2×#2760C211yesmaximal, characteristic, complemented
6C2×#2751C211yesmaximal, characteristic, complemented
7C2×#2687C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic
9#44586C2132yesmaximal, direct product factor
10C2×#2600C211yesmaximal, characteristic, complemented
11C2×#2603C211yesmaximal, characteristic, complemented
12C2×#2561C211yesmaximal, characteristic, complemented
13C2×#2589C211yesmaximal, characteristic, complemented
14C2×#2560C211yesmaximal, characteristic, complemented
15C2×#2557C211yesmaximal, characteristic, complemented
16C2×#2527C211yesmaximal, characteristic, complemented
17C2×#2516C211yesmaximal, characteristic, complemented
18C2×#2483C211yesmaximal, characteristic, complemented
19C2×#2477C211yesmaximal, characteristic, complemented
20C2×#2447C211yesmaximal, characteristic, complemented
21C2×#2468C211yesmaximal, characteristic, complemented
22C2×#2444C211yesmaximal, characteristic, complemented
23C2×#2419C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic, complemented
25C2×#2418C211yesmaximal, characteristic, complemented
26C2×#2401C211yesmaximal, characteristic, complemented
27C2×#2359C211yesmaximal, characteristic, complemented
28C2×#2358C211yesmaximal, characteristic, complemented
29C2×#2358C211yesmaximal, characteristic, complemented
30C2×#2357C211yesmaximal, characteristic, complemented
31C2×#2332C211yesmaximal, characteristic, complemented
32C2×#2324C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic, complemented
34C22×#124C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×#117C2211yescharacteristic, complemented
48C23×C22⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51#2804C22116yescomplemented
52#2787C22116yescomplemented
53#2782C22116yescomplemented
54#2765C22116yescomplemented
55#2760C22116yescomplemented
56#2751C22116yescomplemented
57#2687C22116yescomplemented
58#2678C22116yes—
59#2603C22116yescomplemented
60#2600C22116yescomplemented
61#2589C22116yescomplemented
62#2561C22116yescomplemented
63#2560C22116yescomplemented
64#2557C22116yescomplemented
65#2527C22116yescomplemented
66#2516C22116yescomplemented
67#2483C22116yescomplemented
68#2477C22116yescomplemented
69#2472C22116yescomplemented
70#2468C22116yescomplemented
71#2447C22116yescomplemented
72#2444C22116yescomplemented
73#2419C22116yescomplemented
74#2418C22116yescomplemented
75#2401C22116yescomplemented
76C2×#401C2211yescharacteristic, complemented
77C2×#401C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#399C2211yescharacteristic
85C2×#398C2211yescharacteristic, complemented
86C2×#398C2211yescharacteristic, complemented
87C2×#398C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic
92C2×#397C2211yescharacteristic
93C2×#397C2211yescharacteristic
94C2×#397C2211yescharacteristic
95C2×#397C2211yescharacteristic
96C2×#397C2211yescharacteristic
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#393C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic
111C2×#393C2211yescharacteristic, complemented
112C2×#393C2211yescharacteristic, complemented
113C2×#393C2211yescharacteristic, complemented
114C2×#392C2211yescharacteristic
115C2×#392C2211yescharacteristic
116#2359C22116yescomplemented
117#2358C22116yescomplemented
118#2358C22116yescomplemented
119#2357C22116yescomplemented
120#2332C22116yescomplemented
121#2324C22116yescomplemented
122C2×#391C2211yescharacteristic, complemented
123C2×#391C2211yescharacteristic, complemented
124C2×#391C2211yescharacteristic, complemented
125C2×#391C2211yescharacteristic, complemented
126C2×#391C2211yescharacteristic, complemented
127C2×#390C2211yescharacteristic
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic, complemented
133C2×#389C2211yescharacteristic, complemented
134C2×#389C2211yescharacteristic, complemented
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
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic, complemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#382C2211yescharacteristic, complemented
193C2×#381C2211yescharacteristic
194C2×#381C2211yescharacteristic
195C2×#381C2211yescharacteristic
196C2×#381C2211yescharacteristic
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic
199C2×#381C2211yescharacteristic, complemented
200C2×#381C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic, complemented
203C2×#379C2211yescharacteristic
204C2×#379C2211yescharacteristic
205C2×C4×C4⋊C4C2211yescharacteristic, complemented
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C4⋊C4C2211yescharacteristic, complemented
208C2×C4×C4⋊C4C2211yescharacteristic, complemented
209C2×C4×C4⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×#376C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C2×#126—44no—
240C2×#126C2318yescomplemented
241C2×#124—44no—
242C2×#124C2318yes—
243C2×#123—28no—
244C2×#123—44no—
245C2×#123C2318yes—
246C2×#123C2318yes—
247C2×C22⋊Q8—28no—
248C2×C22⋊Q8—44no—
249C2×C22⋊Q8C2318yes—
250C2×C22⋊Q8C2318yes—
251C2×#121—28no—
252C2×#121C2318yes—
253C2×#120—28no—
254C2×#120—28no—
255C2×#120C2318yes—
256C2×#120C2318yes—
257C2×C4×D4—28no—
258C2×C4×D4—44no—
259C2×C4×D4—44no—
260C2×C4×D4—44no—
261C2×C4×D4—44no—
262C2×C4×D4C2318yes—
263C2×C4×D4C2318yes—
264C2×C4×D4C2318yes—
265C2×C4×D4C2318yes—
266C2×C4×D4C2318yes—
267C2×#117—44no—
268C2×#117C2318yescomplemented
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C22⋊C4—44no—
295C22×C22⋊C4—44no—
296C22×C22⋊C4—44no—
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2318yes—
319C22×C22⋊C4C2318yes—
320C22×C22⋊C4C2318yes—
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
360#401C2318yescomplemented
361#401C2318yescomplemented
362#400C2318yescomplemented
363#400C2318yescomplemented
364#400C2318yescomplemented
365#400C2318yescomplemented
366#400C2318yescomplemented
367#400C2318yescomplemented
368#399C2318yes—
369#398C2318yescomplemented
370#398C2318yescomplemented
371#398C2318yescomplemented
372#398C2318yescomplemented
373#397C2318yes—
374#397C2318yes—
375#397C2318yes—
376#397C2318yes—
377#397C2318yes—
378#397C2318yes—
379#397C2318yes—
380#397C2318yes—
381#397C2318yes—
382#397C2318yescomplemented
383#397C2318yescomplemented
384#397C2318yescomplemented
385#396C2318yes—
386#394C2318yes—
387#394C2318yes—
388#394C2318yes—
389#394C2318yes—
390#394C2318yes—
391#394C2318yes—
392#393C2318yes—
393#393C2318yes—
394#393C2318yes—
395#393C2318yescomplemented
396#393C2318yescomplemented
397#393C2318yescomplemented
398#392C2318yes—
399#392C2318yes—
400#391C2318yescomplemented
401#391C2318yescomplemented
402#391C2318yescomplemented
403#391C2318yescomplemented
404#391C2318yescomplemented
405#390C2318yes—
406#390C2318yes—
407#390C2318yes—
408#390C2318yes—
409#390C2318yes—
410#390C2318yescomplemented
411#389C2318yescomplemented
412#389C2318yescomplemented
413#388C2318yes—
414#388C2318yes—
415#388C2318yes—
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
421#388C2318yes—
422#388C2318yes—
423#388C2318yes—
424#388C2318yes—
425#388C2318yes—
426#388C2318yescomplemented
427#388C2318yescomplemented
428#388C2318yescomplemented
429#388C2318yescomplemented
430#388C2318yescomplemented
431#388C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
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#386C2318yescomplemented
454#386C2318yescomplemented
455#386C2318yescomplemented
456#385C2318yes—
457#385C2318yes—
458#385C2318yes—
459#385C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yescomplemented
466#385C2318yescomplemented
467#385C2318yescomplemented
468#385C2318yescomplemented
469#385C2318yescomplemented
470#382C2318yescomplemented
471#381C2318yes—
472#381C2318yes—
473#381C2318yes—
474#381C2318yes—
475#381C2318yes—
476#381C2318yes—
477#381C2318yescomplemented
478#381C2318yescomplemented
479#380C2318yes—
480#380C2318yescomplemented
481#379C2318yes—
482#379C2318yes—
483C4×C4⋊C4C2318yescomplemented
484C4×C4⋊C4C2318yescomplemented
485C4×C4⋊C4C2318yescomplemented
486C4×C4⋊C4C2318yescomplemented
487C4×C4⋊C4C2318yescomplemented
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yescomplemented
495#376C2318yescomplemented
496C2×#95C2311yescharacteristic
497C2×#95C2311yescharacteristic
498C2×#95C2311yescharacteristic
499C2×#95C2311yescharacteristic
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
502C2×#95C2311yescharacteristic
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2318yescomplemented
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—24no—
577C22×D4—24no—
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#4118yes—
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—24no—
603C23×C4—42no—
604C23×C4—42no—
605C23×C4—42no—
606C23×C4—42no—
607C23×C4—42no—
608C23×C4—42no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—42no—
618C23×C4—42no—
619C23×C4—42no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
625C23×C4—42no—
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×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2414yes—
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C23×C4C2414yes—
659C23×C4C2414yes—
660C23×C4C2414yes—
661C23×C4C2414yes—
662#126—416no—
663#124—416no—
664#123—232no—
665#123—416no—
666C22⋊Q8—232no—
667C22⋊Q8—416no—
668#121—232no—
669#120—232no—
670#120—232no—
671C4×D4—232no—
672C4×D4—416no—
673C4×D4—416no—
674C4×D4—416no—
675C4×D4—416no—
676#117—416no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
683C2×C4⋊C4—24no—
684C2×C4⋊C4—24no—
685C2×C4⋊C4—24no—
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⋊C4—42no—
701C2×C4⋊C4—42no—
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—24no—
746C2×C22⋊C4—24no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—416no—
749C2×C22⋊C4—416no—
750C2×C22⋊C4—416no—
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—42no—
777C2×C22⋊C4#4118yes—
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×C42—24no—
827C2×C42—24no—
828C2×C42—24no—
829C2×C42—42no—
830C2×C42—42no—
831C2×C42—42no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—42no—
835C2×C42—42no—
836C2×C42—42no—
837C2×C42—42no—
838C2×C42C2414yes—
839C2×C42C2414yes—
840C2×C42C2414yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850#95C2414yes—
851#95C2414yes—
852#95C2414yes—
853#95C2414yes—
854#95C2414yes—
855#95C2414yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
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—
900C24—22no—
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—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—28no—
932C24—28no—
933C24—28no—
934C24—44no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—416no—
939C24—416no—
940C24—416no—
941C24—88no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24C2×#4114yes—
946C24C2×#4114yes—
947C24C2×#4114yes—
948C24H(5,𝔽2)14yes—
949C24C2512yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2511yescharacteristic
955C2×Q8—28no—
956C2×Q8—44no—
957C2×Q8—44no—
958C2×Q8—44no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—88no—
962C2×Q8—88no—
963C2×D4—28no—
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—28no—
973C2×D4—44no—
974C2×D4—44no—
975C2×D4—416no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—416no—
981C2×D4—416no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—416no—
987C2×D4—416no—
988C2×D4—88no—
989C2×D4—88no—
990C2×D4C2×#41116yes—
991C22×C4—22no—
992C22×C4—22no—
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—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
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—28no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
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—22no—
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—28no—
1067C22×C4—28no—
1068C22×C4—28no—
1069C22×C4—28no—
1070C22×C4—28no—
1071C22×C4—28no—
1072C22×C4—44no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—416no—
1096C22×C4—88no—
1097C22×C4—88no—
1098C22×C4—88no—
1099C22×C4—88no—
1100C22×C4—88no—
1101C22×C4—88no—
1102C22×C4—88no—
1103C22×C4—88no—
1104C22×C4—88no—
1105C22×C4C2×#4114yes—
1106C22×C4C2×#4114yes—
1107C22×C4C2×#4114yes—
1108C22×C4H(5,𝔽2)14yes—
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—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—28no—
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—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
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—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
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⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4C2×#41116yes—
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—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—28no—
1245C23—28no—
1246C23—28no—
1247C23—28no—
1248C23—28no—
1249C23—28no—
1250C23—28no—
1251C23—28no—
1252C23—28no—
1253C23—28no—
1254C23—28no—
1255C23—28no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—416no—
1264C23—416no—
1265C23—416no—
1266C23—44no—
1267C23—44no—
1268C23—44no—
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—88no—
1290C23—88no—
1291C23—88no—
1292C23—88no—
1293C23—864no—
1294C23C22×#4114yes—
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—416no—
1312D4—416no—
1313D4—88no—
1314D4—88no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—28no—
1324C2×C4—28no—
1325C2×C4—28no—
1326C2×C4—28no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
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—416no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
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—88no—
1417C2×C4—88no—
1418C2×C4—88no—
1419C2×C4—88no—
1420C2×C4—88no—
1421C2×C4—88no—
1422C2×C4—88no—
1423C2×C4—88no—
1424C2×C4—88no—
1425C2×C4C22×#4114yes—
1426C2×C4C22×#4114yes—
1427C2×C4C22×#4114yes—
1428C2×C4C2×H(5,𝔽2)14yes—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—416no—
1449C22—416no—
1450C22—416no—
1451C22—416no—
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—42no—
1467C22—42no—
1468C22—832no—
1469C22—88no—
1470C22#348114yes—
1471C22#349114yes—
1472C22#351014yes—
1473C22#351314yes—
1474C22#351314yes—
1475C22#355814yes—
1476C22#356014yes—
1477C22C23×#4111yescharacteristic
1478C22C23×#4111yescharacteristic
1479C22C22×H(5,𝔽2)11yescharacteristic
1480C22C22×H(5,𝔽2)11yescharacteristic
1481C22C2×#58511yescharacteristic
1482C22C2×#58511yescharacteristic
1483C22C2×#58511yescharacteristic
1484C4—24no—
1485C4—24no—
1486C4—24no—
1487C4—24no—
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—
1508C4—42no—
1509C4—42no—
1510C2—44no—
1511C2—44no—
1512C2—44no—
1513C2—44no—
1514C2—82no—
1515C2#4458618yesdirect product factor
1516C2C2×#348111yescharacteristic
1517C2C2×#355811yescharacteristic
1518C2C2×#356011yescharacteristic
1519C2C2×#351311yescharacteristic
1520C2C2×#351311yescharacteristic
1521C2C2×#349111yescharacteristic
1522C2C2×#351011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2678C2
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×#2804C2semidirect
2. C2×#2787C2semidirect
3. C2×#2782C2semidirect
4. C2×#2765C2semidirect
5. C2×#2760C2semidirect
6. C2×#2751C2semidirect
7. C2×#2687C2semidirect
9. #44586C2direct (N × H)
10. C2×#2600C2semidirect
11. C2×#2603C2semidirect
12. C2×#2561C2semidirect
13. C2×#2589C2semidirect
14. C2×#2560C2semidirect
15. C2×#2557C2semidirect
16. C2×#2527C2semidirect
17. C2×#2516C2semidirect
18. C2×#2483C2semidirect
19. C2×#2477C2semidirect
20. C2×#2447C2semidirect
21. C2×#2468C2semidirect
22. C2×#2444C2semidirect
23. C2×#2419C2semidirect
24. C2×#2472C2semidirect
25. C2×#2418C2semidirect
26. C2×#2401C2semidirect
27. C2×#2359C2semidirect
28. C2×#2358C2semidirect
29. C2×#2358C2semidirect
30. C2×#2357C2semidirect
31. C2×#2332C2semidirect
32. C2×#2324C2semidirect
33. C22×#126C22semidirect
47. C22×#117C22semidirect
51. #2804C22semidirect
52. #2787C22semidirect
53. #2782C22semidirect
54. #2765C22semidirect
55. #2760C22semidirect
56. #2751C22semidirect
57. #2687C22semidirect
59. #2603C22semidirect
60. #2600C22semidirect
61. #2589C22semidirect
62. #2561C22semidirect
63. #2560C22semidirect
64. #2557C22semidirect
65. #2527C22semidirect
66. #2516C22semidirect
67. #2483C22semidirect
68. #2477C22semidirect
69. #2472C22semidirect
70. #2468C22semidirect
71. #2447C22semidirect
72. #2444C22semidirect
73. #2419C22semidirect
74. #2418C22semidirect
75. #2401C22semidirect
76. C2×#401C22semidirect
77. C2×#401C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
85. C2×#398C22semidirect
86. C2×#398C22semidirect
87. C2×#398C22semidirect
88. C2×#398C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
111. C2×#393C22semidirect
112. C2×#393C22semidirect
113. C2×#393C22semidirect
116. #2359C22semidirect
117. #2358C22semidirect
118. #2358C22semidirect
119. #2357C22semidirect
120. #2332C22semidirect
121. #2324C22semidirect
122. C2×#391C22semidirect
123. C2×#391C22semidirect
124. C2×#391C22semidirect
125. C2×#391C22semidirect
126. C2×#391C22semidirect
132. C2×#390C22semidirect
133. C2×#389C22semidirect
134. C2×#389C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#382C22semidirect
199. C2×#381C22semidirect
200. C2×#381C22semidirect
202. C2×#380C22semidirect
205. C2×C4×C4⋊C4C22semidirect
206. C2×C4×C4⋊C4C22semidirect
207. C2×C4×C4⋊C4C22semidirect
208. C2×C4×C4⋊C4C22semidirect
209. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×#376C22semidirect
218. C22×#95C22semidirect
240. C2×#126C23semidirect
268. C2×#117C23semidirect
360. #401C23semidirect
361. #401C23semidirect
362. #400C23semidirect
363. #400C23semidirect
364. #400C23semidirect
365. #400C23semidirect
366. #400C23semidirect
367. #400C23semidirect
369. #398C23semidirect
370. #398C23semidirect
371. #398C23semidirect
372. #398C23semidirect
382. #397C23semidirect
383. #397C23semidirect
384. #397C23semidirect
395. #393C23semidirect
396. #393C23semidirect
397. #393C23semidirect
400. #391C23semidirect
401. #391C23semidirect
402. #391C23semidirect
403. #391C23semidirect
404. #391C23semidirect
410. #390C23semidirect
411. #389C23semidirect
412. #389C23semidirect
426. #388C23semidirect
427. #388C23semidirect
428. #388C23semidirect
429. #388C23semidirect
430. #388C23semidirect
431. #388C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
438. #387C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
453. #386C23semidirect
454. #386C23semidirect
455. #386C23semidirect
465. #385C23semidirect
466. #385C23semidirect
467. #385C23semidirect
468. #385C23semidirect
469. #385C23semidirect
470. #382C23semidirect
477. #381C23semidirect
478. #381C23semidirect
480. #380C23semidirect
483. C4×C4⋊C4C23semidirect
484. C4×C4⋊C4C23semidirect
485. C4×C4⋊C4C23semidirect
486. C4×C4⋊C4C23semidirect
487. C4×C4⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. #376C23semidirect
546. C2×#95C23semidirect
1515. C2#44586direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28042
C2×#27872
C2×#27822
C2×#27652
C2×#27602
C2×#27512
C2×#26872
C2×#26782
#445862
C2×#26002
C2×#26032
C2×#25612
C2×#25892
C2×#25602
C2×#25572
C2×#25272
C2×#25162
C2×#24832
C2×#24772
C2×#24472
C2×#24682
C2×#24442
C2×#24192
C2×#24722
C2×#24182
C2×#24012
C2×#23592
C2×#23582
C2×#23572
C2×#23322
C2×#23242