Finite Group Databasebeta

← C2×#54335 #8103565

Subgroups — C2×#54335 #8103565

Order 512.

5832 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#54335C2132yesmaximal, direct product factor
2C2×#2808C211yesmaximal, characteristic, complemented
3C2×#2804C211yesmaximal, characteristic, complemented
4C2×#2798C211yesmaximal, characteristic, complemented
5C2×#2751C211yesmaximal, characteristic, complemented
6C2×#2723C211yesmaximal, characteristic, complemented
7C2×#2716C211yesmaximal, characteristic, complemented
8C2×#2702C211yesmaximal, characteristic, complemented
9C2×#2702C211yesmaximal, characteristic, complemented
10C2×#2700C211yesmaximal, characteristic, complemented
11C2×#2696C211yesmaximal, characteristic, complemented
12C2×#2687C211yesmaximal, characteristic, complemented
13C2×#2686C211yesmaximal, characteristic, complemented
14C2×#2685C211yesmaximal, characteristic, complemented
15C2×#2684C211yesmaximal, characteristic, complemented
16C2×#2681C211yesmaximal, characteristic, complemented
17C2×#2668C211yesmaximal, characteristic
18C2×#2840C211yesmaximal, characteristic, complemented
19C2×#2831C211yesmaximal, characteristic, complemented
20C2×#2832C211yesmaximal, characteristic, complemented
21C2×#2589C211yesmaximal, characteristic, complemented
22C2×#2564C211yesmaximal, characteristic, complemented
23C2×#2491C211yesmaximal, characteristic, complemented
24C2×#2488C211yesmaximal, characteristic, complemented
25C2×#2411C211yesmaximal, characteristic, complemented
26C2×#2477C211yesmaximal, characteristic, complemented
27C2×#2459C211yesmaximal, characteristic, complemented
28C2×#2480C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2628C211yesmaximal, characteristic, complemented
31C2×#2650C211yesmaximal, characteristic, complemented
32C2×#2639C211yesmaximal, characteristic, complemented
33C22×C4⋊Q8C2211yescharacteristic, complemented
34C22×#126C2211yescharacteristic
35C22×#126C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×#117C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51#2840C22116yescomplemented
52#2832C22116yescomplemented
53#2831C22116yescomplemented
54#2808C22116yescomplemented
55#2804C22116yescomplemented
56#2798C22116yescomplemented
57#2751C22116yescomplemented
58#2723C22116yescomplemented
59#2716C22116yescomplemented
60#2702C22116yescomplemented
61#2702C22116yescomplemented
62#2700C22116yescomplemented
63#2696C22116yescomplemented
64#2687C22116yescomplemented
65#2686C22116yescomplemented
66#2685C22116yescomplemented
67#2684C22116yescomplemented
68#2681C22116yescomplemented
69#2668C22116yes—
70#2650C22116yescomplemented
71#2639C22116yescomplemented
72#2628C22116yescomplemented
73#2589C22116yescomplemented
74#2564C22116yescomplemented
75#2491C22116yescomplemented
76#2488C22116yescomplemented
77#2480C22116yescomplemented
78#2477C22116yescomplemented
79#2459C22116yescomplemented
80#2418C22116yescomplemented
81#2411C22116yescomplemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#399C2211yescharacteristic
92C2×#399C2211yescharacteristic
93C2×#399C2211yescharacteristic
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#396C2211yescharacteristic
109C2×#396C2211yescharacteristic
110C2×#396C2211yescharacteristic
111C2×#396C2211yescharacteristic
112C2×#395C2211yescharacteristic, complemented
113C2×#395C2211yescharacteristic, complemented
114C2×#395C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic
116C2×#394C2211yescharacteristic
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic, complemented
128C2×#393C2211yescharacteristic
129C2×#393C2211yescharacteristic
130C2×#393C2211yescharacteristic
131C2×#393C2211yescharacteristic
132C2×#393C2211yescharacteristic
133C2×#393C2211yescharacteristic
134C2×#393C2211yescharacteristic
135C2×#393C2211yescharacteristic
136C2×#393C2211yescharacteristic
137C2×#393C2211yescharacteristic
138C2×#393C2211yescharacteristic
139C2×#393C2211yescharacteristic
140C2×#393C2211yescharacteristic
141C2×#393C2211yescharacteristic
142C2×#393C2211yescharacteristic, complemented
143C2×#393C2211yescharacteristic, complemented
144C2×#393C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic
146C2×#391C2211yescharacteristic, complemented
147C2×#391C2211yescharacteristic, complemented
148C2×#391C2211yescharacteristic, complemented
149C2×#391C2211yescharacteristic, complemented
150C2×#391C2211yescharacteristic, complemented
151C2×#391C2211yescharacteristic, complemented
152C2×#391C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
159C2×#389C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#387C2211yescharacteristic, complemented
183C2×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#382C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C2×C4⋊Q8—44no—
239C2×C4⋊Q8C2318yescomplemented
240C2×#126—44no—
241C2×#126—44no—
242C2×#126C2318yes—
243C2×#126C2318yes—
244C2×#124—44no—
245C2×#124—44no—
246C2×#124C2318yes—
247C2×#124C2318yescomplemented
248C2×#123—44no—
249C2×#123—44no—
250C2×#123C2318yes—
251C2×#123C2318yes—
252C2×C22⋊Q8—44no—
253C2×C22⋊Q8—44no—
254C2×C22⋊Q8—44no—
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8C2318yescomplemented
257C2×C22⋊Q8C2318yescomplemented
258C2×C22⋊Q8C2318yescomplemented
259C2×C22⋊Q8C2318yescomplemented
260C2×#121—44no—
261C2×#121—44no—
262C2×#121C2318yes—
263C2×#121C2318yes—
264C2×#120—44no—
265C2×#120—44no—
266C2×#120C2318yes—
267C2×#120C2318yes—
268C2×C4×D4—44no—
269C2×C4×D4C2318yes—
270C2×#117—44no—
271C2×#117C2318yes—
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C22⋊C4—44no—
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2318yes—
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362#400C2318yescomplemented
363#400C2318yescomplemented
364#400C2318yescomplemented
365#400C2318yescomplemented
366#400C2318yescomplemented
367#400C2318yescomplemented
368#400C2318yescomplemented
369#400C2318yescomplemented
370#400C2318yescomplemented
371#399C2318yes—
372#399C2318yes—
373#399C2318yes—
374#398C2318yescomplemented
375#398C2318yescomplemented
376#398C2318yescomplemented
377#397C2318yes—
378#397C2318yes—
379#397C2318yes—
380#397C2318yes—
381#397C2318yes—
382#397C2318yes—
383#397C2318yes—
384#397C2318yes—
385#397C2318yescomplemented
386#397C2318yescomplemented
387#397C2318yescomplemented
388#396C2318yes—
389#396C2318yes—
390#396C2318yes—
391#396C2318yes—
392#395C2318yescomplemented
393#395C2318yescomplemented
394#395C2318yescomplemented
395#394C2318yes—
396#394C2318yes—
397#394C2318yes—
398#394C2318yes—
399#394C2318yes—
400#394C2318yes—
401#394C2318yes—
402#394C2318yes—
403#394C2318yes—
404#394C2318yes—
405#394C2318yes—
406#394C2318yes—
407#394C2318yescomplemented
408#393C2318yes—
409#393C2318yes—
410#393C2318yes—
411#393C2318yes—
412#393C2318yes—
413#393C2318yes—
414#393C2318yes—
415#393C2318yes—
416#393C2318yes—
417#393C2318yes—
418#393C2318yes—
419#393C2318yes—
420#393C2318yes—
421#393C2318yes—
422#393C2318yescomplemented
423#393C2318yescomplemented
424#393C2318yescomplemented
425#392C2318yes—
426#391C2318yescomplemented
427#391C2318yescomplemented
428#391C2318yescomplemented
429#391C2318yescomplemented
430#391C2318yescomplemented
431#391C2318yescomplemented
432#391C2318yescomplemented
433#390C2318yes—
434#390C2318yes—
435#390C2318yes—
436#390C2318yes—
437#389C2318yescomplemented
438#389C2318yescomplemented
439#389C2318yescomplemented
440#388C2318yes—
441#388C2318yes—
442#388C2318yes—
443#388C2318yes—
444#388C2318yes—
445#388C2318yes—
446#388C2318yes—
447#388C2318yes—
448#388C2318yes—
449#388C2318yes—
450#388C2318yes—
451#388C2318yes—
452#388C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#388C2318yescomplemented
457#388C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#387C2318yescomplemented
461#387C2318yescomplemented
462#387C2318yescomplemented
463#387C2318yescomplemented
464#387C2318yescomplemented
465#387C2318yescomplemented
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yes—
474#386C2318yes—
475#386C2318yes—
476#386C2318yescomplemented
477#386C2318yescomplemented
478#385C2318yes—
479#385C2318yes—
480#385C2318yes—
481#385C2318yes—
482#385C2318yescomplemented
483#385C2318yescomplemented
484#382C2318yescomplemented
485#381C2318yescomplemented
486#381C2318yescomplemented
487#380C2318yes—
488#380C2318yes—
489#380C2318yescomplemented
490#380C2318yescomplemented
491#379C2318yes—
492#379C2318yes—
493#379C2318yes—
494#379C2318yes—
495C4×C4⋊C4C2318yescomplemented
496C4×C22⋊C4C2318yes—
497C4×C22⋊C4C2318yescomplemented
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—42no—
549C25—42no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C22×Q8—42no—
561C22×Q8—42no—
562C22×Q8—42no—
563C22×Q8—42no—
564C22×Q8—42no—
565C22×Q8—42no—
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×Q8C2414yes—
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—42no—
588C22×D4—42no—
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—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×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2414yes—
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C4⋊Q8—416no—
659#126—416no—
660#126—416no—
661#124—416no—
662#124—416no—
663#123—416no—
664#123—416no—
665C22⋊Q8—416no—
666C22⋊Q8—416no—
667C22⋊Q8—416no—
668C22⋊Q8—416no—
669#121—416no—
670#121—416no—
671#120—416no—
672#120—416no—
673C4×D4—416no—
674#117—416no—
675C2×C4⋊C4—24no—
676C2×C4⋊C4—24no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
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⋊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×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
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—416no—
743C2×C22⋊C4—42no—
744C2×C22⋊C4—42no—
745C2×C22⋊C4—42no—
746C2×C22⋊C4—42no—
747C2×C22⋊C4—42no—
748C2×C22⋊C4—42no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—42no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—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⋊C4C2414yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C22⋊C4C2414yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2414yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×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×C42—24no—
837C2×C42—42no—
838C2×C42—42no—
839C2×C42—42no—
840C2×C42—42no—
841C2×C42—42no—
842C2×C42—42no—
843C2×C42—42no—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851C2×C42C2414yes—
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—22no—
932C24—22no—
933C24—28no—
934C24—44no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—416no—
941C24—88no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24—88no—
946C24—88no—
947C24H(5,𝔽2)14yes—
948C242−1+414yes—
949C24C2512yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2511yescharacteristic
955C2×Q8—44no—
956C2×Q8—44no—
957C2×Q8—44no—
958C2×Q8—44no—
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—44no—
970C2×Q8—88no—
971C2×Q8—88no—
972C2×Q8—88no—
973C2×Q8—88no—
974C2×Q8—88no—
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—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—44no—
991C2×D4—44no—
992C2×D4—44no—
993C2×D4—44no—
994C2×D4—44no—
995C2×D4—44no—
996C2×D4—416no—
997C2×D4—88no—
998C2×D4—88no—
999C2×D4—88no—
1000C2×D4—88no—
1001C2×D4—88no—
1002C2×D4—88no—
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—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—28no—
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—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—44no—
1096C22×C4—44no—
1097C22×C4—416no—
1098C22×C4—88no—
1099C22×C4—88no—
1100C22×C4—88no—
1101C22×C4—88no—
1102C22×C4—88no—
1103C22×C4H(5,𝔽2)14yes—
1104C22×C4H(5,𝔽2)14yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C4⋊C4—28no—
1132C4⋊C4—28no—
1133C4⋊C4—28no—
1134C4⋊C4—28no—
1135C4⋊C4—28no—
1136C4⋊C4—28no—
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—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C42—28no—
1212C42—44no—
1213C42—44no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—28no—
1232C23—28no—
1233C23—28no—
1234C23—28no—
1235C23—28no—
1236C23—28no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—44no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—44no—
1266C23—416no—
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—88no—
1289C23—88no—
1290C23—88no—
1291C23—88no—
1292C23—88no—
1293C23—88no—
1294C23—864no—
1295C23C2×H(5,𝔽2)14yes—
1296C23C2×H(5,𝔽2)12yes—
1297C23C2×H(5,𝔽2)12yes—
1298C23C2×H(5,𝔽2)12yes—
1299C23C2×2−1+414yes—
1300C23C2×2−1+412yes—
1301C23#58512yes—
1302C23#58512yes—
1303C23#58512yes—
1304C23C2611yescharacteristic
1305Q8—88no—
1306Q8—88no—
1307Q8—88no—
1308Q8—88no—
1309Q8—88no—
1310D4—416no—
1311D4—88no—
1312D4—88no—
1313D4—88no—
1314D4—88no—
1315D4—88no—
1316D4—88no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—28no—
1322C2×C4—28no—
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—416no—
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—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—88no—
1421C2×C4—88no—
1422C2×C4—88no—
1423C2×C4—88no—
1424C2×C4—88no—
1425C2×C4C2×H(5,𝔽2)14yes—
1426C2×C4C2×H(5,𝔽2)14yes—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—42no—
1438C22—42no—
1439C22—42no—
1440C22—42no—
1441C22—416no—
1442C22—416no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—832no—
1465C22—88no—
1466C22—88no—
1467C22—88no—
1468C22#353514yes—
1469C22#353614yes—
1470C22#354014yes—
1471C22#354514yes—
1472C22#355814yes—
1473C22#355814yes—
1474C22#356414yes—
1475C22C22×H(5,𝔽2)11yescharacteristic
1476C22C22×H(5,𝔽2)11yescharacteristic
1477C22C22×H(5,𝔽2)11yescharacteristic
1478C22C22×2−1+411yescharacteristic
1479C22C2×#58511yescharacteristic
1480C22C2×#58511yescharacteristic
1481C22C2×#58511yescharacteristic
1482C4—24no—
1483C4—24no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C2—44no—
1509C2—44no—
1510C2—82no—
1511C2—82no—
1512C2—82no—
1513C2#5433518yesdirect product factor
1514C2C2×#353511yescharacteristic
1515C2C2×#353611yescharacteristic
1516C2C2×#354011yescharacteristic
1517C2C2×#355811yescharacteristic
1518C2C2×#355811yescharacteristic
1519C2C2×#356411yescharacteristic
1520C2C2×#354511yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2668C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #54335C2direct (N × H)
2. C2×#2808C2semidirect
3. C2×#2804C2semidirect
4. C2×#2798C2semidirect
5. C2×#2751C2semidirect
6. C2×#2723C2semidirect
7. C2×#2716C2semidirect
8. C2×#2702C2semidirect
9. C2×#2702C2semidirect
10. C2×#2700C2semidirect
11. C2×#2696C2semidirect
12. C2×#2687C2semidirect
13. C2×#2686C2semidirect
14. C2×#2685C2semidirect
15. C2×#2684C2semidirect
16. C2×#2681C2semidirect
18. C2×#2840C2semidirect
19. C2×#2831C2semidirect
20. C2×#2832C2semidirect
21. C2×#2589C2semidirect
22. C2×#2564C2semidirect
23. C2×#2491C2semidirect
24. C2×#2488C2semidirect
25. C2×#2411C2semidirect
26. C2×#2477C2semidirect
27. C2×#2459C2semidirect
28. C2×#2480C2semidirect
29. C2×#2418C2semidirect
30. C2×#2628C2semidirect
31. C2×#2650C2semidirect
32. C2×#2639C2semidirect
33. C22×C4⋊Q8C22semidirect
37. C22×#124C22semidirect
40. C22×C22⋊Q8C22semidirect
41. C22×C22⋊Q8C22semidirect
42. C22×C22⋊Q8C22semidirect
43. C22×C22⋊Q8C22semidirect
51. #2840C22semidirect
52. #2832C22semidirect
53. #2831C22semidirect
54. #2808C22semidirect
55. #2804C22semidirect
56. #2798C22semidirect
57. #2751C22semidirect
58. #2723C22semidirect
59. #2716C22semidirect
60. #2702C22semidirect
61. #2702C22semidirect
62. #2700C22semidirect
63. #2696C22semidirect
64. #2687C22semidirect
65. #2686C22semidirect
66. #2685C22semidirect
67. #2684C22semidirect
68. #2681C22semidirect
70. #2650C22semidirect
71. #2639C22semidirect
72. #2628C22semidirect
73. #2589C22semidirect
74. #2564C22semidirect
75. #2491C22semidirect
76. #2488C22semidirect
77. #2480C22semidirect
78. #2477C22semidirect
79. #2459C22semidirect
80. #2418C22semidirect
81. #2411C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
112. C2×#395C22semidirect
113. C2×#395C22semidirect
114. C2×#395C22semidirect
127. C2×#394C22semidirect
142. C2×#393C22semidirect
143. C2×#393C22semidirect
144. C2×#393C22semidirect
146. C2×#391C22semidirect
147. C2×#391C22semidirect
148. C2×#391C22semidirect
149. C2×#391C22semidirect
150. C2×#391C22semidirect
151. C2×#391C22semidirect
152. C2×#391C22semidirect
157. C2×#389C22semidirect
158. C2×#389C22semidirect
159. C2×#389C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#382C22semidirect
205. C2×#381C22semidirect
206. C2×#381C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
215. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
239. C2×C4⋊Q8C23semidirect
247. C2×#124C23semidirect
256. C2×C22⋊Q8C23semidirect
257. C2×C22⋊Q8C23semidirect
258. C2×C22⋊Q8C23semidirect
259. C2×C22⋊Q8C23semidirect
362. #400C23semidirect
363. #400C23semidirect
364. #400C23semidirect
365. #400C23semidirect
366. #400C23semidirect
367. #400C23semidirect
368. #400C23semidirect
369. #400C23semidirect
370. #400C23semidirect
374. #398C23semidirect
375. #398C23semidirect
376. #398C23semidirect
385. #397C23semidirect
386. #397C23semidirect
387. #397C23semidirect
392. #395C23semidirect
393. #395C23semidirect
394. #395C23semidirect
407. #394C23semidirect
422. #393C23semidirect
423. #393C23semidirect
424. #393C23semidirect
426. #391C23semidirect
427. #391C23semidirect
428. #391C23semidirect
429. #391C23semidirect
430. #391C23semidirect
431. #391C23semidirect
432. #391C23semidirect
437. #389C23semidirect
438. #389C23semidirect
439. #389C23semidirect
452. #388C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #388C23semidirect
457. #388C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
463. #387C23semidirect
464. #387C23semidirect
465. #387C23semidirect
476. #386C23semidirect
477. #386C23semidirect
482. #385C23semidirect
483. #385C23semidirect
484. #382C23semidirect
485. #381C23semidirect
486. #381C23semidirect
489. #380C23semidirect
490. #380C23semidirect
495. C4×C4⋊C4C23semidirect
497. C4×C22⋊C4C23semidirect
546. C2×#95C23semidirect
1513. C2#54335direct (N × H)

Maximal subgroups

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

subgroupindex
#543352
C2×#28082
C2×#28042
C2×#27982
C2×#27512
C2×#27232
C2×#27162
C2×#27022
C2×#27002
C2×#26962
C2×#26872
C2×#26862
C2×#26852
C2×#26842
C2×#26812
C2×#26682
C2×#28402
C2×#28312
C2×#28322
C2×#25892
C2×#25642
C2×#24912
C2×#24882
C2×#24112
C2×#24772
C2×#24592
C2×#24802
C2×#24182
C2×#26282
C2×#26502
C2×#26392