Finite Group Databasebeta

← C2×#48784 #7704530

Subgroups — C2×#48784 #7704530

Order 512.

7890 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#553C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2722C211yesmaximal, characteristic, complemented
4C2×#2721C211yesmaximal, characteristic, complemented
5C2×#2718C211yesmaximal, characteristic, complemented
6C2×#2715C211yesmaximal, characteristic, complemented
7C2×#2710C211yesmaximal, characteristic, complemented
8C2×#2708C211yesmaximal, characteristic, complemented
9C2×#2699C211yesmaximal, characteristic, complemented
10C2×#2690C211yesmaximal, characteristic, complemented
11C2×#2686C211yesmaximal, characteristic, complemented
12C2×#2678C211yesmaximal, characteristic, complemented
13C2×#2671C211yesmaximal, characteristic, complemented
14C2×#2668C211yesmaximal, characteristic, complemented
15#48784C2132yesmaximal, direct product factor
16C2×#2600C211yesmaximal, characteristic, complemented
17C2×#2486C211yesmaximal, characteristic, complemented
18C2×#2479C211yesmaximal, characteristic, complemented
19C2×#2477C211yesmaximal, characteristic, complemented
20C2×#2447C211yesmaximal, characteristic, complemented
21C2×#2468C211yesmaximal, characteristic, complemented
22C2×#2422C211yesmaximal, characteristic, complemented
23C2×#2444C211yesmaximal, characteristic, complemented
24C2×#2425C211yesmaximal, characteristic, complemented
25C2×#2419C211yesmaximal, characteristic, complemented
26C2×#2480C211yesmaximal, characteristic, complemented
27C2×#2412C211yesmaximal, characteristic, complemented
28C2×#2418C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2623C211yesmaximal, characteristic, complemented
31C2×#2630C211yesmaximal, characteristic, complemented
32C2×#2377C211yesmaximal, characteristic, complemented
33C2×#553—216no—
34C2×#553C22116yescomplemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C22×#126C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic, complemented
41C22×#125C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic, complemented
51C22×C22⋊Q8C2211yescharacteristic
52C22×#121C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic, complemented
59C22×#120C2211yescharacteristic
60C22×#120C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×C4×D4C2211yescharacteristic
63C22×C4×D4C2211yescharacteristic
64C22×C4×D4C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic, complemented
67C22×C4×D4C2211yescharacteristic, complemented
68C22×#117C2211yescharacteristic, complemented
69C23×C4⋊C4C2211yescharacteristic, complemented
70C23×C22⋊C4C2211yescharacteristic
71C23×C22⋊C4C2211yescharacteristic
72#2722C22116yescomplemented
73#2721C22116yescomplemented
74#2718C22116yescomplemented
75#2715C22116yescomplemented
76#2710C22116yescomplemented
77#2708C22116yescomplemented
78#2699C22116yescomplemented
79#2690C22116yescomplemented
80#2686C22116yescomplemented
81#2678C22116yescomplemented
82#2671C22116yescomplemented
83#2668C22116yescomplemented
84#2630C22116yescomplemented
85#2623C22116yescomplemented
86#2600C22116yescomplemented
87#2486C22116yescomplemented
88#2480C22116yescomplemented
89#2479C22116yescomplemented
90#2477C22116yescomplemented
91#2468C22116yescomplemented
92#2447C22116yescomplemented
93#2444C22116yescomplemented
94#2425C22116yescomplemented
95#2422C22116yescomplemented
96#2419C22116yescomplemented
97#2418C22116yescomplemented
98#2418C22116yescomplemented
99#2412C22116yescomplemented
100C2×#400C2211yescharacteristic, complemented
101C2×#400C2211yescharacteristic, complemented
102C2×#400C2211yescharacteristic, complemented
103C2×#399C2211yescharacteristic
104C2×#399C2211yescharacteristic
105C2×#399C2211yescharacteristic
106C2×#399C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic
115C2×#397C2211yescharacteristic
116C2×#397C2211yescharacteristic
117C2×#397C2211yescharacteristic
118C2×#397C2211yescharacteristic
119C2×#397C2211yescharacteristic
120C2×#397C2211yescharacteristic
121C2×#397C2211yescharacteristic
122C2×#397C2211yescharacteristic
123C2×#397C2211yescharacteristic
124C2×#397C2211yescharacteristic, complemented
125C2×#397C2211yescharacteristic, complemented
126C2×#397C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic
128C2×#396C2211yescharacteristic
129C2×#396C2211yescharacteristic, complemented
130C2×#395C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#393C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148#2377C22116yescomplemented
149C2×#391C2211yescharacteristic, complemented
150C2×#391C2211yescharacteristic, complemented
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#384C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic
205C2×#381C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#381C2211yescharacteristic, complemented
208C2×#381C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×#380C2211yescharacteristic, complemented
215C2×#380C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic
217C2×#379C2211yescharacteristic
218C2×C4×C4⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
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
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246#553—2128no—
247#538—2128no—
248C2×#126—28no—
249C2×#126—28no—
250C2×#126—28no—
251C2×#126—28no—
252C2×#126C2318yes—
253C2×#126C2318yes—
254C2×#126C2318yes—
255C2×#126C2318yescomplemented
256C2×#125—28no—
257C2×#125C2318yescomplemented
258C2×#124—28no—
259C2×#124—28no—
260C2×#124C2318yes—
261C2×#124C2318yes—
262C2×#123—28no—
263C2×#123—28no—
264C2×#123—28no—
265C2×#123—28no—
266C2×#123—44no—
267C2×#123—44no—
268C2×#123—44no—
269C2×#123C2318yes—
270C2×#123C2318yes—
271C2×#123C2318yes—
272C2×#123C2318yes—
273C2×#123C2318yes—
274C2×#123C2318yes—
275C2×#123C2318yescomplemented
276C2×C22⋊Q8—28no—
277C2×C22⋊Q8C2318yes—
278C2×#121—28no—
279C2×#121—28no—
280C2×#121—28no—
281C2×#121—28no—
282C2×#121—28no—
283C2×#121—44no—
284C2×#121D4116yescomplemented
285C2×#121C2318yes—
286C2×#121C2318yes—
287C2×#121C2318yes—
288C2×#121C2318yes—
289C2×#121C2318yes—
290C2×#121C2318yes—
291C2×#121C2318yescomplemented
292C2×#120—28no—
293C2×#120—28no—
294C2×#120—44no—
295C2×#120C2318yes—
296C2×#120C2318yes—
297C2×#120C2318yes—
298C2×C4×D4—28no—
299C2×C4×D4—28no—
300C2×C4×D4—28no—
301C2×C4×D4—28no—
302C2×C4×D4—28no—
303C2×C4×D4—28no—
304C2×C4×D4C2318yes—
305C2×C4×D4C2318yes—
306C2×C4×D4C2318yes—
307C2×C4×D4C2318yes—
308C2×C4×D4C2318yescomplemented
309C2×C4×D4C2318yescomplemented
310C2×#117—28no—
311C2×#117C2318yescomplemented
312C22×C4⋊C4—28no—
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2318yescomplemented
347C22×C22⋊C4—28no—
348C22×C22⋊C4—44no—
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2318yes—
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2318yes—
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C42C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410#400C2318yescomplemented
411#400C2318yescomplemented
412#400C2318yescomplemented
413#399C2318yes—
414#399C2318yes—
415#399C2318yes—
416#399C2318yescomplemented
417#398C2318yescomplemented
418#398C2318yescomplemented
419#398C2318yescomplemented
420#398C2318yescomplemented
421#398C2318yescomplemented
422#398C2318yescomplemented
423#398C2318yescomplemented
424#397C2318yes—
425#397C2318yes—
426#397C2318yes—
427#397C2318yes—
428#397C2318yes—
429#397C2318yes—
430#397C2318yes—
431#397C2318yes—
432#397C2318yes—
433#397C2318yes—
434#397C2318yescomplemented
435#397C2318yescomplemented
436#397C2318yescomplemented
437#396C2318yes—
438#396C2318yes—
439#396C2318yescomplemented
440#395C2318yescomplemented
441#394C2318yes—
442#394C2318yes—
443#394C2318yes—
444#394C2318yes—
445#394C2318yes—
446#394C2318yes—
447#394C2318yes—
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yescomplemented
452#394C2318yescomplemented
453#394C2318yescomplemented
454#393C2318yescomplemented
455#392C2318yes—
456#392C2318yes—
457#392C2318yes—
458#391C2318yescomplemented
459#391C2318yescomplemented
460#390C2318yes—
461#390C2318yes—
462#390C2318yescomplemented
463#389C2318yescomplemented
464#389C2318yescomplemented
465#389C2318yescomplemented
466#389C2318yescomplemented
467#388C2318yes—
468#388C2318yes—
469#388C2318yes—
470#388C2318yes—
471#388C2318yes—
472#388C2318yes—
473#388C2318yes—
474#388C2318yes—
475#388C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#387C2318yescomplemented
480#387C2318yescomplemented
481#387C2318yescomplemented
482#387C2318yescomplemented
483#387C2318yescomplemented
484#387C2318yescomplemented
485#387C2318yescomplemented
486#386C2318yes—
487#386C2318yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yes—
497#386C2318yes—
498#386C2318yescomplemented
499#386C2318yescomplemented
500#385C2318yes—
501#385C2318yes—
502#385C2318yes—
503#385C2318yes—
504#385C2318yes—
505#385C2318yescomplemented
506#385C2318yescomplemented
507#385C2318yescomplemented
508#385C2318yescomplemented
509#385C2318yescomplemented
510#385C2318yescomplemented
511#385C2318yescomplemented
512#384C2318yescomplemented
513#381C2318yes—
514#381C2318yescomplemented
515#381C2318yescomplemented
516#381C2318yescomplemented
517#381C2318yescomplemented
518#380C2318yes—
519#380C2318yes—
520#380C2318yes—
521#380C2318yes—
522#380C2318yes—
523#380C2318yescomplemented
524#380C2318yescomplemented
525#379C2318yes—
526#379C2318yes—
527C4×C4⋊C4C2318yescomplemented
528C4×C22⋊C4C2318yes—
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2318yescomplemented
568C25—24no—
569C25—24no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25—42no—
574C25—42no—
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2414yes—
582C22×Q8—24no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8C2414yes—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4C2×D418yes—
620C22×D4C2×D418yes—
621C22×D4C2×D418yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C22×D4C2414yes—
626C22×D4C2414yes—
627C22×D4C2414yes—
628C22×D4C2414yes—
629C22×D4C2414yes—
630C22×D4C2414yes—
631C22×D4C2414yes—
632C22×D4C2414yes—
633C22×D4C2414yes—
634C23×C4—24no—
635C23×C4—24no—
636C23×C4—24no—
637C23×C4—24no—
638C23×C4—24no—
639C23×C4—24no—
640C23×C4—24no—
641C23×C4—24no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4—42no—
666C23×C4C2×D418yes—
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2414yes—
693C23×C4C2414yes—
694C23×C4C2414yes—
695C23×C4C2414yes—
696C23×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703#126—232no—
704#126—232no—
705#126—232no—
706#126—232no—
707#125—232no—
708#124—232no—
709#124—232no—
710#123—232no—
711#123—232no—
712#123—232no—
713#123—232no—
714#123—416no—
715#123—416no—
716#123—416no—
717C22⋊Q8—232no—
718#121—232no—
719#121—232no—
720#121—232no—
721#121—232no—
722#121—232no—
723#121—416no—
724#121C2×D4164yescomplemented
725#120—232no—
726#120—232no—
727#120—416no—
728C4×D4—232no—
729C4×D4—232no—
730C4×D4—232no—
731C4×D4—232no—
732C4×D4—232no—
733C4×D4—232no—
734#117—232no—
735C2×C4⋊C4—24no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—24no—
738C2×C4⋊C4—24no—
739C2×C4⋊C4—232no—
740C2×C4⋊C4—24no—
741C2×C4⋊C4—24no—
742C2×C4⋊C4—24no—
743C2×C4⋊C4—24no—
744C2×C4⋊C4—24no—
745C2×C4⋊C4—24no—
746C2×C4⋊C4—24no—
747C2×C4⋊C4—24no—
748C2×C4⋊C4—24no—
749C2×C4⋊C4—24no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4—42no—
755C2×C4⋊C4—42no—
756C2×C4⋊C4—42no—
757C2×C4⋊C4—42no—
758C2×C4⋊C4—42no—
759C2×C4⋊C4—42no—
760C2×C4⋊C4—42no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4—42no—
763C2×C4⋊C4—42no—
764C2×C4⋊C4—42no—
765C2×C4⋊C4—42no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4C2×D418yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—24no—
821C2×C22⋊C4—24no—
822C2×C22⋊C4—24no—
823C2×C22⋊C4—24no—
824C2×C22⋊C4—24no—
825C2×C22⋊C4—24no—
826C2×C22⋊C4—24no—
827C2×C22⋊C4—232no—
828C2×C22⋊C4—416no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4C2×D418yes—
855C2×C22⋊C4C2×D418yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C42—24no—
909C2×C42—24no—
910C2×C42—24no—
911C2×C42—24no—
912C2×C42—24no—
913C2×C42—42no—
914C2×C42—42no—
915C2×C42C2414yes—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—28no—
999C24—28no—
1000C24—44no—
1001C24—44no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—416no—
1006C24—416no—
1007C24—88no—
1008C24—88no—
1009C24—88no—
1010C24—88no—
1011C24—88no—
1012C24C22×D414yes—
1013C24C22×D414yes—
1014C24C22×D414yes—
1015C24H(5,𝔽2)14yes—
1016C24C2512yes—
1017C24C2512yes—
1018C24C2512yes—
1019C24C2512yes—
1020C24C2512yes—
1021C24C2512yes—
1022C24C2511yescharacteristic
1023C2×Q8—28no—
1024C2×Q8—44no—
1025C2×Q8—44no—
1026C2×Q8—88no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—416no—
1038C2×D4—416no—
1039C2×D4—416no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—416no—
1064C2×D4—416no—
1065C2×D4—416no—
1066C2×D4—88no—
1067C2×D4—88no—
1068C2×D4—88no—
1069C2×D4—88no—
1070C2×D4—88no—
1071C2×D4—88no—
1072C2×D4C22×D4116yes—
1073C2×D4C22×D4116yes—
1074C2×D4C22×D4116yes—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—28no—
1147C22×C4—28no—
1148C22×C4—28no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—28no—
1152C22×C4—28no—
1153C22×C4—28no—
1154C22×C4—416no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—416no—
1180C22×C4—88no—
1181C22×C4—88no—
1182C22×C4—88no—
1183C22×C4—88no—
1184C22×C4—88no—
1185C22×C4—88no—
1186C22×C4—88no—
1187C22×C4—88no—
1188C22×C4—88no—
1189C22×C4C22×D414yes—
1190C22×C4C22×D414yes—
1191C22×C4C22×D414yes—
1192C22×C4C22×D414yes—
1193C22×C4C22×D4116yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
1224C4⋊C4—28no—
1225C4⋊C4—28no—
1226C4⋊C4—28no—
1227C4⋊C4—28no—
1228C4⋊C4—28no—
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4C22×D4116yes—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—28no—
1276C22⋊C4—28no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4—44no—
1300C22⋊C4—44no—
1301C22⋊C4—44no—
1302C22⋊C4C22×D4116yes—
1303C22⋊C4C22×D4116yes—
1304C42—28no—
1305C42—28no—
1306C42—28no—
1307C42—28no—
1308C42—28no—
1309C42—44no—
1310C42—44no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—28no—
1336C23—28no—
1337C23—28no—
1338C23—28no—
1339C23—28no—
1340C23—28no—
1341C23—28no—
1342C23—28no—
1343C23—28no—
1344C23—28no—
1345C23—28no—
1346C23—28no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—416no—
1362C23—416no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—88no—
1394C23—88no—
1395C23—88no—
1396C23—88no—
1397C23—88no—
1398C23—864no—
1399C23C23×D414yes—
1400C23C23×D414yes—
1401C23C23×D414yes—
1402C23C23×D412yes—
1403C23C2×H(5,𝔽2)14yes—
1404C23C2×H(5,𝔽2)12yes—
1405C23#58512yes—
1406C23#58512yes—
1407C23#58512yes—
1408C23#58512yes—
1409C23#58512yes—
1410C23C2611yescharacteristic
1411Q8—88no—
1412D4—416no—
1413D4—416no—
1414D4—416no—
1415D4—416no—
1416D4—416no—
1417D4—416no—
1418D4—88no—
1419D4—88no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—88no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—28no—
1433C2×C4—28no—
1434C2×C4—28no—
1435C2×C4—28no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—416no—
1500C2×C4—416no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—88no—
1523C2×C4—88no—
1524C2×C4—88no—
1525C2×C4—88no—
1526C2×C4—88no—
1527C2×C4—88no—
1528C2×C4—88no—
1529C2×C4—88no—
1530C2×C4—88no—
1531C2×C4C23×D414yes—
1532C2×C4C23×D414yes—
1533C2×C4C23×D414yes—
1534C2×C4C23×D414yes—
1535C22—24no—
1536C22—24no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—416no—
1564C22—416no—
1565C22—416no—
1566C22—416no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—832no—
1582C22—88no—
1583C22—88no—
1584C22#348514yes—
1585C22#348514yes—
1586C22#348814yes—
1587C22#353314yes—
1588C22#356014yes—
1589C22#356614yes—
1590C22#356614yes—
1591C22C24×D411yescharacteristic
1592C22C22×H(5,𝔽2)11yescharacteristic
1593C22C2×#58511yescharacteristic
1594C22C2×#58511yescharacteristic
1595C22C2×#58511yescharacteristic
1596C22C2×#58511yescharacteristic
1597C22C2×#58511yescharacteristic
1598C4—24no—
1599C4—24no—
1600C4—24no—
1601C4—24no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C2—44no—
1624C2—44no—
1625C2—44no—
1626C2—44no—
1627C2—82no—
1628C2—82no—
1629C2#4878418yesdirect product factor
1630C2C2×#353311yescharacteristic
1631C2C2×#356011yescharacteristic
1632C2C2×#356611yescharacteristic
1633C2C2×#356611yescharacteristic
1634C2C2×#348511yescharacteristic
1635C2C2×#348511yescharacteristic
1636C2C2×#348811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#553C2semidirect
2. C22×#538C2semidirect
3. C2×#2722C2semidirect
4. C2×#2721C2semidirect
5. C2×#2718C2semidirect
6. C2×#2715C2semidirect
7. C2×#2710C2semidirect
8. C2×#2708C2semidirect
9. C2×#2699C2semidirect
10. C2×#2690C2semidirect
11. C2×#2686C2semidirect
12. C2×#2678C2semidirect
13. C2×#2671C2semidirect
14. C2×#2668C2semidirect
15. #48784C2direct (N × H)
16. C2×#2600C2semidirect
17. C2×#2486C2semidirect
18. C2×#2479C2semidirect
19. C2×#2477C2semidirect
20. C2×#2447C2semidirect
21. C2×#2468C2semidirect
22. C2×#2422C2semidirect
23. C2×#2444C2semidirect
24. C2×#2425C2semidirect
25. C2×#2419C2semidirect
26. C2×#2480C2semidirect
27. C2×#2412C2semidirect
28. C2×#2418C2semidirect
29. C2×#2418C2semidirect
30. C2×#2623C2semidirect
31. C2×#2630C2semidirect
32. C2×#2377C2semidirect
34. C2×#553C22semidirect
36. C2×#538C22semidirect
40. C22×#126C22semidirect
41. C22×#125C22semidirect
50. C22×#123C22semidirect
58. C22×#121C22semidirect
66. C22×C4×D4C22semidirect
67. C22×C4×D4C22semidirect
68. C22×#117C22semidirect
69. C23×C4⋊C4C22semidirect
72. #2722C22semidirect
73. #2721C22semidirect
74. #2718C22semidirect
75. #2715C22semidirect
76. #2710C22semidirect
77. #2708C22semidirect
78. #2699C22semidirect
79. #2690C22semidirect
80. #2686C22semidirect
81. #2678C22semidirect
82. #2671C22semidirect
83. #2668C22semidirect
84. #2630C22semidirect
85. #2623C22semidirect
86. #2600C22semidirect
87. #2486C22semidirect
88. #2480C22semidirect
89. #2479C22semidirect
90. #2477C22semidirect
91. #2468C22semidirect
92. #2447C22semidirect
93. #2444C22semidirect
94. #2425C22semidirect
95. #2422C22semidirect
96. #2419C22semidirect
97. #2418C22semidirect
98. #2418C22semidirect
99. #2412C22semidirect
100. C2×#400C22semidirect
101. C2×#400C22semidirect
102. C2×#400C22semidirect
106. C2×#399C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
124. C2×#397C22semidirect
125. C2×#397C22semidirect
126. C2×#397C22semidirect
129. C2×#396C22semidirect
130. C2×#395C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
144. C2×#393C22semidirect
148. #2377C22semidirect
149. C2×#391C22semidirect
150. C2×#391C22semidirect
153. C2×#390C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
157. C2×#389C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#384C22semidirect
205. C2×#381C22semidirect
206. C2×#381C22semidirect
207. C2×#381C22semidirect
208. C2×#381C22semidirect
214. C2×#380C22semidirect
215. C2×#380C22semidirect
218. C2×C4×C4⋊C4C22semidirect
220. C22×#95C22semidirect
255. C2×#126C23semidirect
257. C2×#125C23semidirect
275. C2×#123C23semidirect
284. C2×#121D4semidirect
291. C2×#121C23semidirect
308. C2×C4×D4C23semidirect
309. C2×C4×D4C23semidirect
311. C2×#117C23semidirect
346. C22×C4⋊C4C23semidirect
410. #400C23semidirect
411. #400C23semidirect
412. #400C23semidirect
416. #399C23semidirect
417. #398C23semidirect
418. #398C23semidirect
419. #398C23semidirect
420. #398C23semidirect
421. #398C23semidirect
422. #398C23semidirect
423. #398C23semidirect
434. #397C23semidirect
435. #397C23semidirect
436. #397C23semidirect
439. #396C23semidirect
440. #395C23semidirect
451. #394C23semidirect
452. #394C23semidirect
453. #394C23semidirect
454. #393C23semidirect
458. #391C23semidirect
459. #391C23semidirect
462. #390C23semidirect
463. #389C23semidirect
464. #389C23semidirect
465. #389C23semidirect
466. #389C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #387C23semidirect
480. #387C23semidirect
481. #387C23semidirect
482. #387C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
498. #386C23semidirect
499. #386C23semidirect
505. #385C23semidirect
506. #385C23semidirect
507. #385C23semidirect
508. #385C23semidirect
509. #385C23semidirect
510. #385C23semidirect
511. #385C23semidirect
512. #384C23semidirect
514. #381C23semidirect
515. #381C23semidirect
516. #381C23semidirect
517. #381C23semidirect
523. #380C23semidirect
524. #380C23semidirect
527. C4×C4⋊C4C23semidirect
567. C2×#95C23semidirect
724. #121C2×D4semidirect
1629. C2#48784direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5532
C22×#5382
C2×#27222
C2×#27212
C2×#27182
C2×#27152
C2×#27102
C2×#27082
C2×#26992
C2×#26902
C2×#26862
C2×#26782
C2×#26712
C2×#26682
#487842
C2×#26002
C2×#24862
C2×#24792
C2×#24772
C2×#24472
C2×#24682
C2×#24222
C2×#24442
C2×#24252
C2×#24192
C2×#24802
C2×#24122
C2×#24182
C2×#26232
C2×#26302
C2×#23772