Finite Group Databasebeta

← C2×#54611 #8103837

Subgroups — C2×#54611 #8103837

Order 512.

6190 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#54611C2132yesmaximal, direct product factor
2C2×#2804C211yesmaximal, characteristic, complemented
3C2×#2771C211yesmaximal, characteristic, complemented
4C2×#2764C211yesmaximal, characteristic, complemented
5C2×#2759C211yesmaximal, characteristic, complemented
6C2×#2757C211yesmaximal, characteristic, complemented
7C2×#2749C211yesmaximal, characteristic, complemented
8C2×#2746C211yesmaximal, characteristic, complemented
9C2×#2746C211yesmaximal, characteristic, complemented
10C2×#2737C211yesmaximal, characteristic, complemented
11C2×#2729C211yesmaximal, characteristic, complemented
12C2×#2710C211yesmaximal, characteristic, complemented
13C2×#2700C211yesmaximal, characteristic, complemented
14C2×#2700C211yesmaximal, characteristic, complemented
15C2×#2687C211yesmaximal, characteristic, complemented
16C2×#2685C211yesmaximal, characteristic, complemented
17C2×#2684C211yesmaximal, characteristic, complemented
18C2×#2821C211yesmaximal, characteristic, complemented
19C2×#2827C211yesmaximal, characteristic, complemented
20C2×#2824C211yesmaximal, characteristic, complemented
21C2×#2572C211yesmaximal, characteristic, complemented
22C2×#2483C211yesmaximal, characteristic, complemented
23C2×#2406C211yesmaximal, characteristic, complemented
24C2×#2404C211yesmaximal, characteristic
25C2×#2432C211yesmaximal, characteristic, complemented
26C2×#2481C211yesmaximal, characteristic, complemented
27C2×#2472C211yesmaximal, characteristic, complemented
28C2×#2449C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2665C211yesmaximal, characteristic, complemented
31C2×#2630C211yesmaximal, characteristic, complemented
32C2×#2626C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C22×C4⋊Q8C2211yescharacteristic, complemented
35C22×#126C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×#120C2211yescharacteristic
44C22×#120C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C23×C4⋊C4C2211yescharacteristic, complemented
47C23×C22⋊C4C2211yescharacteristic
48C23×C22⋊C4C2211yescharacteristic
49#2827C22116yescomplemented
50#2824C22116yescomplemented
51#2821C22116yescomplemented
52#2804C22116yescomplemented
53#2771C22116yescomplemented
54#2764C22116yescomplemented
55#2759C22116yescomplemented
56#2757C22116yescomplemented
57#2749C22116yescomplemented
58#2746C22116yescomplemented
59#2746C22116yescomplemented
60#2737C22116yescomplemented
61#2729C22116yescomplemented
62#2710C22116yescomplemented
63#2700C22116yescomplemented
64#2700C22116yescomplemented
65#2687C22116yescomplemented
66#2685C22116yescomplemented
67#2684C22116yescomplemented
68#2665C22116yescomplemented
69#2630C22116yescomplemented
70#2626C22116yescomplemented
71#2572C22116yescomplemented
72#2483C22116yescomplemented
73#2481C22116yescomplemented
74#2472C22116yescomplemented
75#2449C22116yescomplemented
76#2432C22116yescomplemented
77#2418C22116yescomplemented
78#2406C22116yescomplemented
79#2404C22116yes—
80C2×#401C2211yescharacteristic, 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
90C2×#399C2211yescharacteristic
91C2×#399C2211yescharacteristic
92C2×#399C2211yescharacteristic
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic
111C2×#396C2211yescharacteristic
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic, complemented
116C2×#395C2211yescharacteristic, complemented
117C2×#395C2211yescharacteristic, complemented
118C2×#395C2211yescharacteristic, complemented
119C2×#395C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#393C2211yescharacteristic
133C2×#393C2211yescharacteristic
134C2×#393C2211yescharacteristic
135C2×#393C2211yescharacteristic
136C2×#393C2211yescharacteristic
137C2×#393C2211yescharacteristic
138C2×#393C2211yescharacteristic
139C2×#393C2211yescharacteristic, complemented
140C2×#393C2211yescharacteristic, complemented
141C2×#393C2211yescharacteristic, complemented
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#391C2211yescharacteristic, complemented
145C2×#391C2211yescharacteristic, complemented
146C2×#391C2211yescharacteristic, complemented
147C2×#391C2211yescharacteristic, complemented
148C2×#391C2211yescharacteristic, complemented
149C2×#391C2211yescharacteristic, complemented
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#389C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#383C2211yescharacteristic, complemented
203C2×#383C2211yescharacteristic, complemented
204C2×#383C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic
206C2×#381C2211yescharacteristic
207C2×#381C2211yescharacteristic
208C2×#381C2211yescharacteristic
209C2×#381C2211yescharacteristic
210C2×#381C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C22×#41—44no—
221C22×#41—44no—
222C22×#41—44no—
223C22×#41C2318yes—
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×Q8C2311yescharacteristic
227C23×Q8C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C2×C4⋊Q8—44no—
244C2×C4⋊Q8C2318yescomplemented
245C2×#126—44no—
246C2×#126C2318yes—
247C2×#124—44no—
248C2×#124—44no—
249C2×#124C2318yes—
250C2×#124C2318yes—
251C2×#123—44no—
252C2×#123—44no—
253C2×#123C2318yes—
254C2×#123C2318yescomplemented
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8C2318yes—
259C2×C22⋊Q8C2318yes—
260C2×C22⋊Q8C2318yescomplemented
261C2×#120—44no—
262C2×#120—44no—
263C2×#120C2318yes—
264C2×#120C2318yes—
265C2×C4×D4—44no—
266C2×C4×D4C2318yes—
267C22×C4⋊C4—44no—
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2318yescomplemented
298C22×C22⋊C4—44no—
299C22×C22⋊C4—44no—
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⋊C4C2318yes—
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2318yes—
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#401C2318yescomplemented
359#400C2318yescomplemented
360#400C2318yescomplemented
361#400C2318yescomplemented
362#400C2318yescomplemented
363#400C2318yescomplemented
364#400C2318yescomplemented
365#400C2318yescomplemented
366#400C2318yescomplemented
367#399C2318yes—
368#399C2318yes—
369#399C2318yes—
370#399C2318yes—
371#398C2318yescomplemented
372#398C2318yescomplemented
373#398C2318yescomplemented
374#398C2318yescomplemented
375#398C2318yescomplemented
376#397C2318yes—
377#397C2318yes—
378#397C2318yes—
379#397C2318yes—
380#397C2318yes—
381#397C2318yes—
382#397C2318yes—
383#397C2318yes—
384#397C2318yescomplemented
385#397C2318yescomplemented
386#397C2318yescomplemented
387#397C2318yescomplemented
388#396C2318yes—
389#396C2318yes—
390#396C2318yes—
391#396C2318yes—
392#396C2318yes—
393#396C2318yescomplemented
394#395C2318yescomplemented
395#395C2318yescomplemented
396#395C2318yescomplemented
397#395C2318yescomplemented
398#394C2318yes—
399#394C2318yes—
400#394C2318yes—
401#394C2318yes—
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yes—
408#394C2318yescomplemented
409#394C2318yescomplemented
410#393C2318yes—
411#393C2318yes—
412#393C2318yes—
413#393C2318yes—
414#393C2318yes—
415#393C2318yes—
416#393C2318yes—
417#393C2318yescomplemented
418#393C2318yescomplemented
419#393C2318yescomplemented
420#392C2318yes—
421#392C2318yes—
422#391C2318yescomplemented
423#391C2318yescomplemented
424#391C2318yescomplemented
425#391C2318yescomplemented
426#391C2318yescomplemented
427#391C2318yescomplemented
428#390C2318yes—
429#390C2318yes—
430#390C2318yes—
431#389C2318yescomplemented
432#389C2318yescomplemented
433#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yes—
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yes—
442#388C2318yescomplemented
443#388C2318yescomplemented
444#388C2318yescomplemented
445#388C2318yescomplemented
446#387C2318yescomplemented
447#387C2318yescomplemented
448#387C2318yescomplemented
449#387C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
463#386C2318yes—
464#386C2318yes—
465#386C2318yescomplemented
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yes—
470#385C2318yes—
471#385C2318yes—
472#385C2318yes—
473#385C2318yescomplemented
474#385C2318yescomplemented
475#385C2318yescomplemented
476#385C2318yescomplemented
477#385C2318yescomplemented
478#385C2318yescomplemented
479#385C2318yescomplemented
480#383C2318yescomplemented
481#383C2318yescomplemented
482#383C2318yescomplemented
483#381C2318yes—
484#381C2318yes—
485#381C2318yes—
486#381C2318yes—
487#381C2318yes—
488#381C2318yescomplemented
489#380C2318yes—
490#380C2318yes—
491#380C2318yescomplemented
492#379C2318yes—
493#379C2318yes—
494#379C2318yes—
495C4×C22⋊C4C2318yes—
496C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
547C25—24no—
548C25—24no—
549C25—42no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C2×#41—416no—
561C2×#41—416no—
562C2×#41—416no—
563C2×#41—464no—
564C22×Q8—24no—
565C22×Q8—24no—
566C22×Q8—42no—
567C22×Q8—42no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8—42no—
574C22×Q8—42no—
575C22×Q8—42no—
576C22×Q8C2414yes—
577C22×Q8C2414yes—
578C22×Q8C2414yes—
579C22×Q8C2414yes—
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—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4C2414yes—
602C22×D4C2414yes—
603C22×D4C2414yes—
604C22×D4C2414yes—
605C22×D4C2414yes—
606C22×D4C2414yes—
607C22×D4C2414yes—
608C23×C4—24no—
609C23×C4—24no—
610C23×C4—24no—
611C23×C4—24no—
612C23×C4—24no—
613C23×C4—24no—
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×C4—42no—
627C23×C4—42no—
628C23×C4—42no—
629C23×C4—42no—
630C23×C4—42no—
631C23×C4—42no—
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×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2414yes—
658C23×C4C2411yescharacteristic
659C23×C4C2414yes—
660C23×C4C2414yes—
661C23×C4C2414yes—
662C23×C4C2414yes—
663C23×C4C2414yes—
664C23×C4C2414yes—
665C23×C4C2414yes—
666C4⋊Q8—416no—
667#126—416no—
668#124—416no—
669#124—416no—
670#123—416no—
671#123—416no—
672C22⋊Q8—416no—
673C22⋊Q8—416no—
674C22⋊Q8—416no—
675#120—416no—
676#120—416no—
677C4×D4—416no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—416no—
681C2×C4⋊C4—42no—
682C2×C4⋊C4—42no—
683C2×C4⋊C4—42no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
707C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
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—416no—
748C2×C22⋊C4—42no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—416no—
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—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—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4C2414yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×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×C42—24no—
840C2×C42—42no—
841C2×C42—42no—
842C2×C42—42no—
843C2×C42—42no—
844C2×C42—42no—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
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—
900#95C2414yes—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—28no—
934C24—28no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—416no—
941C24—416no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24—88no—
946C24—88no—
947C24H(5,𝔽2)14yes—
948C24H(5,𝔽2)14yes—
949C242−1+414yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2512yes—
955C24C2511yescharacteristic
956#41—4128no—
957C2×Q8—28no—
958C2×Q8—28no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—44no—
963C2×Q8—44no—
964C2×Q8—44no—
965C2×Q8—44no—
966C2×Q8—44no—
967C2×Q8—44no—
968C2×Q8—44no—
969C2×Q8—416no—
970C2×Q8—88no—
971C2×Q8—88no—
972C2×Q8—88no—
973C2×D4—28no—
974C2×D4—28no—
975C2×D4—28no—
976C2×D4—28no—
977C2×D4—28no—
978C2×D4—28no—
979C2×D4—28no—
980C2×D4—28no—
981C2×D4—28no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—416no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—416no—
996C2×D4—416no—
997C2×D4—416no—
998C2×D4—88no—
999C2×D4—88no—
1000C2×D4—88no—
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—22no—
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—28no—
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—28no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—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—28no—
1081C22×C4—28no—
1082C22×C4—28no—
1083C22×C4—28no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—416no—
1103C22×C4—416no—
1104C22×C4—416no—
1105C22×C4—416no—
1106C22×C4—88no—
1107C22×C4—88no—
1108C22×C4—88no—
1109C22×C4—88no—
1110C22×C4H(5,𝔽2)14yes—
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—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
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—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C42—28no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
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—28no—
1241C23—28no—
1242C23—28no—
1243C23—28no—
1244C23—28no—
1245C23—28no—
1246C23—28no—
1247C23—28no—
1248C23—28no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—416no—
1264C23—416no—
1265C23—44no—
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—44no—
1290C23—44no—
1291C23—88no—
1292C23—88no—
1293C23—88no—
1294C23—88no—
1295C23—88no—
1296C23—864no—
1297C23C2×H(5,𝔽2)14yes—
1298C23C2×H(5,𝔽2)14yes—
1299C23C2×H(5,𝔽2)12yes—
1300C23C2×H(5,𝔽2)12yes—
1301C23C2×H(5,𝔽2)12yes—
1302C23C2×2−1+414yes—
1303C23C2×2−1+412yes—
1304C23#58512yes—
1305C23#58512yes—
1306C23#58512yes—
1307C23C2611yescharacteristic
1308Q8—416no—
1309Q8—88no—
1310Q8—88no—
1311Q8—88no—
1312D4—416no—
1313D4—416no—
1314D4—416no—
1315D4—416no—
1316D4—88no—
1317D4—88no—
1318D4—88no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—28no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
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—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—416no—
1398C2×C4—416no—
1399C2×C4—416no—
1400C2×C4—416no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—88no—
1427C2×C4—88no—
1428C2×C4—88no—
1429C2×C4—88no—
1430C2×C4C2×H(5,𝔽2)14yes—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—416no—
1452C22—416no—
1453C22—416no—
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—42no—
1469C22—832no—
1470C22—88no—
1471C22—88no—
1472C22#353214yes—
1473C22#353314yes—
1474C22#353514yes—
1475C22#353514yes—
1476C22#354014yes—
1477C22#356014yes—
1478C22#356114yes—
1479C22C22×H(5,𝔽2)11yescharacteristic
1480C22C22×H(5,𝔽2)11yescharacteristic
1481C22C22×H(5,𝔽2)11yescharacteristic
1482C22C22×2−1+411yescharacteristic
1483C22C2×#58511yescharacteristic
1484C22C2×#58511yescharacteristic
1485C22C2×#58511yescharacteristic
1486C4—24no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C2—44no—
1513C2—44no—
1514C2—44no—
1515C2—82no—
1516C2—82no—
1517C2#5461118yesdirect product factor
1518C2C2×#353211yescharacteristic
1519C2C2×#353511yescharacteristic
1520C2C2×#353511yescharacteristic
1521C2C2×#353311yescharacteristic
1522C2C2×#354011yescharacteristic
1523C2C2×#356111yescharacteristic
1524C2C2×#356011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2404C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #54611C2direct (N × H)
2. C2×#2804C2semidirect
3. C2×#2771C2semidirect
4. C2×#2764C2semidirect
5. C2×#2759C2semidirect
6. C2×#2757C2semidirect
7. C2×#2749C2semidirect
8. C2×#2746C2semidirect
9. C2×#2746C2semidirect
10. C2×#2737C2semidirect
11. C2×#2729C2semidirect
12. C2×#2710C2semidirect
13. C2×#2700C2semidirect
14. C2×#2700C2semidirect
15. C2×#2687C2semidirect
16. C2×#2685C2semidirect
17. C2×#2684C2semidirect
18. C2×#2821C2semidirect
19. C2×#2827C2semidirect
20. C2×#2824C2semidirect
21. C2×#2572C2semidirect
22. C2×#2483C2semidirect
23. C2×#2406C2semidirect
25. C2×#2432C2semidirect
26. C2×#2481C2semidirect
27. C2×#2472C2semidirect
28. C2×#2449C2semidirect
29. C2×#2418C2semidirect
30. C2×#2665C2semidirect
31. C2×#2630C2semidirect
32. C2×#2626C2semidirect
34. C22×C4⋊Q8C22semidirect
39. C22×#123C22semidirect
42. C22×C22⋊Q8C22semidirect
46. C23×C4⋊C4C22semidirect
49. #2827C22semidirect
50. #2824C22semidirect
51. #2821C22semidirect
52. #2804C22semidirect
53. #2771C22semidirect
54. #2764C22semidirect
55. #2759C22semidirect
56. #2757C22semidirect
57. #2749C22semidirect
58. #2746C22semidirect
59. #2746C22semidirect
60. #2737C22semidirect
61. #2729C22semidirect
62. #2710C22semidirect
63. #2700C22semidirect
64. #2700C22semidirect
65. #2687C22semidirect
66. #2685C22semidirect
67. #2684C22semidirect
68. #2665C22semidirect
69. #2630C22semidirect
70. #2626C22semidirect
71. #2572C22semidirect
72. #2483C22semidirect
73. #2481C22semidirect
74. #2472C22semidirect
75. #2449C22semidirect
76. #2432C22semidirect
77. #2418C22semidirect
78. #2406C22semidirect
80. C2×#401C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
115. C2×#396C22semidirect
116. C2×#395C22semidirect
117. C2×#395C22semidirect
118. C2×#395C22semidirect
119. C2×#395C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
139. C2×#393C22semidirect
140. C2×#393C22semidirect
141. C2×#393C22semidirect
144. C2×#391C22semidirect
145. C2×#391C22semidirect
146. C2×#391C22semidirect
147. C2×#391C22semidirect
148. C2×#391C22semidirect
149. C2×#391C22semidirect
153. C2×#389C22semidirect
154. C2×#389C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
187. C2×#386C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#383C22semidirect
203. C2×#383C22semidirect
204. C2×#383C22semidirect
210. C2×#381C22semidirect
213. C2×#380C22semidirect
218. C2×C4×C22⋊C4C22semidirect
244. C2×C4⋊Q8C23semidirect
254. C2×#123C23semidirect
260. C2×C22⋊Q8C23semidirect
297. C22×C4⋊C4C23semidirect
358. #401C23semidirect
359. #400C23semidirect
360. #400C23semidirect
361. #400C23semidirect
362. #400C23semidirect
363. #400C23semidirect
364. #400C23semidirect
365. #400C23semidirect
366. #400C23semidirect
371. #398C23semidirect
372. #398C23semidirect
373. #398C23semidirect
374. #398C23semidirect
375. #398C23semidirect
384. #397C23semidirect
385. #397C23semidirect
386. #397C23semidirect
387. #397C23semidirect
393. #396C23semidirect
394. #395C23semidirect
395. #395C23semidirect
396. #395C23semidirect
397. #395C23semidirect
408. #394C23semidirect
409. #394C23semidirect
417. #393C23semidirect
418. #393C23semidirect
419. #393C23semidirect
422. #391C23semidirect
423. #391C23semidirect
424. #391C23semidirect
425. #391C23semidirect
426. #391C23semidirect
427. #391C23semidirect
431. #389C23semidirect
432. #389C23semidirect
442. #388C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #387C23semidirect
447. #387C23semidirect
448. #387C23semidirect
449. #387C23semidirect
450. #387C23semidirect
451. #387C23semidirect
465. #386C23semidirect
473. #385C23semidirect
474. #385C23semidirect
475. #385C23semidirect
476. #385C23semidirect
477. #385C23semidirect
478. #385C23semidirect
479. #385C23semidirect
480. #383C23semidirect
481. #383C23semidirect
482. #383C23semidirect
488. #381C23semidirect
491. #380C23semidirect
496. C4×C22⋊C4C23semidirect
1517. C2#54611direct (N × H)

Maximal subgroups

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

subgroupindex
#546112
C2×#28042
C2×#27712
C2×#27642
C2×#27592
C2×#27572
C2×#27492
C2×#27462
C2×#27372
C2×#27292
C2×#27102
C2×#27002
C2×#26872
C2×#26852
C2×#26842
C2×#28212
C2×#28272
C2×#28242
C2×#25722
C2×#24832
C2×#24062
C2×#24042
C2×#24322
C2×#24812
C2×#24722
C2×#24492
C2×#24182
C2×#26652
C2×#26302
C2×#26262