Finite Group Databasebeta

← C2×#43008 #7667145

Subgroups — C2×#43008 #7667145

Order 512.

9462 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#546C211yesmaximal, characteristic, complemented
2C22×#539C211yesmaximal, characteristic, complemented
3C2×#2701C211yesmaximal, characteristic, complemented
4C2×#2690C211yesmaximal, characteristic, complemented
5C2×#2688C211yesmaximal, characteristic, complemented
6C2×#2685C211yesmaximal, characteristic, complemented
7C2×#2678C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9C2×#2676C211yesmaximal, characteristic, complemented
10C2×#2674C211yesmaximal, characteristic, complemented
11#43008C2132yesmaximal, direct product factor
12C2×#2561C211yesmaximal, characteristic, complemented
13C2×#2558C211yesmaximal, characteristic, complemented
14C2×#2559C211yesmaximal, characteristic, complemented
15C2×#2557C211yesmaximal, characteristic, complemented
16C2×#2490C211yesmaximal, characteristic, complemented
17C2×#2432C211yesmaximal, characteristic, complemented
18C2×#2457C211yesmaximal, characteristic, complemented
19C2×#2452C211yesmaximal, characteristic, complemented
20C2×#2408C211yesmaximal, characteristic, complemented
21C2×#2466C211yesmaximal, characteristic, complemented
22C2×#2460C211yesmaximal, characteristic, complemented
23C2×#2480C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic, complemented
25C2×#2405C211yesmaximal, characteristic, complemented
26C2×#2456C211yesmaximal, characteristic, complemented
27C2×#2443C211yesmaximal, characteristic, complemented
28C2×#2388C211yesmaximal, characteristic, complemented
29C2×#2374C211yesmaximal, characteristic, complemented
30C2×#2361C211yesmaximal, characteristic, complemented
31C2×#2358C211yesmaximal, characteristic, complemented
32C2×#2321C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C2×#546—216no—
36C2×#546C22116yescomplemented
37C2×#539—216no—
38C2×#539C22116yescomplemented
39C22×C4⋊Q8C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic, complemented
41C22×#126C2211yescharacteristic, complemented
42C22×#125C2211yescharacteristic, complemented
43C22×#125C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic, complemented
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic, complemented
51C22×#123C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic, complemented
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic, complemented
70C22×C4×D4C2211yescharacteristic, complemented
71C22×C4×D4C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74C23×C22⋊C4C2211yescharacteristic
75C23×C22⋊C4C2211yescharacteristic
76C23×C22⋊C4C2211yescharacteristic
77#2701C22116yescomplemented
78#2690C22116yescomplemented
79#2688C22116yescomplemented
80#2685C22116yescomplemented
81#2678C22116yescomplemented
82#2678C22116yescomplemented
83#2676C22116yescomplemented
84#2674C22116yescomplemented
85#2561C22116yescomplemented
86#2559C22116yescomplemented
87#2558C22116yescomplemented
88#2557C22116yescomplemented
89#2490C22116yescomplemented
90#2480C22116yescomplemented
91#2472C22116yescomplemented
92#2466C22116yescomplemented
93#2460C22116yescomplemented
94#2457C22116yescomplemented
95#2456C22116yescomplemented
96#2452C22116yescomplemented
97#2443C22116yescomplemented
98#2432C22116yescomplemented
99#2408C22116yescomplemented
100#2405C22116yescomplemented
101C2×#400C2211yescharacteristic, complemented
102C2×#400C2211yescharacteristic, complemented
103C2×#399C2211yescharacteristic, complemented
104C2×#398C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic
106C2×#397C2211yescharacteristic
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic, complemented
114C2×#396C2211yescharacteristic, complemented
115C2×#396C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117#2388C22116yescomplemented
118C2×#395C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#393C2211yescharacteristic
134C2×#393C2211yescharacteristic, complemented
135C2×#393C2211yescharacteristic, complemented
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic, complemented
140C2×#392C2211yescharacteristic, complemented
141C2×#392C2211yescharacteristic, complemented
142#2374C22116yescomplemented
143#2361C22116yescomplemented
144#2358C22116yescomplemented
145#2321C22116yescomplemented
146C2×#391C2211yescharacteristic, complemented
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic
149C2×#390C2211yescharacteristic
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic, complemented
154C2×#390C2211yescharacteristic, complemented
155C2×#390C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#381C2211yescharacteristic, complemented
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic, complemented
206C2×#379C2211yescharacteristic
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×C4×C4⋊C4C2211yescharacteristic, complemented
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C22×#41—28no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41C2318yes—
227C23×Q8C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C23×D4—28no—
230C23×D4—44no—
231C23×D4—44no—
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2318yes—
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259#546—2128no—
260#539—2128no—
261C2×C4⋊Q8—44no—
262C2×C4⋊Q8C2318yescomplemented
263C2×#126—28no—
264C2×#126—28no—
265C2×#126C2318yescomplemented
266C2×#126C2318yescomplemented
267C2×#125—28no—
268C2×#125—28no—
269C2×#125C2318yescomplemented
270C2×#125C2318yescomplemented
271C2×#124—28no—
272C2×#124—44no—
273C2×#124C2318yes—
274C2×#124C2318yescomplemented
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—28no—
278C2×#123—28no—
279C2×#123—44no—
280C2×#123D4116yescomplemented
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yescomplemented
286C2×#123C2318yescomplemented
287C2×C22⋊Q8—28no—
288C2×C22⋊Q8—28no—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8C2318yes—
292C2×C22⋊Q8C2318yescomplemented
293C2×C22⋊Q8C2318yescomplemented
294C2×C22⋊Q8C2318yescomplemented
295C2×#121—28no—
296C2×#121—28no—
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121—44no—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#121C2318yes—
305C2×#121C2318yes—
306C2×#121C2318yes—
307C2×#120—28no—
308C2×#120—28no—
309C2×#120—28no—
310C2×#120—28no—
311C2×#120C2318yes—
312C2×#120C2318yes—
313C2×#120C2318yes—
314C2×#120C2318yes—
315C2×C4×D4—28no—
316C2×C4×D4—28no—
317C2×C4×D4—28no—
318C2×C4×D4—28no—
319C2×C4×D4—44no—
320C2×C4×D4—44no—
321C2×C4×D4—44no—
322C2×C4×D4C2318yes—
323C2×C4×D4C2318yes—
324C2×C4×D4C2318yes—
325C2×C4×D4C2318yescomplemented
326C2×C4×D4C2318yescomplemented
327C2×C4×D4C2318yescomplemented
328C2×C4×D4C2318yescomplemented
329C22×C4⋊C4—28no—
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⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2318yescomplemented
358C22×C22⋊C4—28no—
359C22×C22⋊C4—28no—
360C22×C22⋊C4—44no—
361C22×C22⋊C4C2318yes—
362C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
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⋊C4C2318yes—
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⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#400C2318yescomplemented
433#400C2318yescomplemented
434#399C2318yescomplemented
435#398C2318yescomplemented
436#397C2318yes—
437#397C2318yes—
438#397C2318yescomplemented
439#397C2318yescomplemented
440#397C2318yescomplemented
441#397C2318yescomplemented
442#397C2318yescomplemented
443#396C2318yes—
444#396C2318yescomplemented
445#396C2318yescomplemented
446#396C2318yescomplemented
447#396C2318yescomplemented
448#395C2318yescomplemented
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yescomplemented
458#394C2318yescomplemented
459#394C2318yescomplemented
460#394C2318yescomplemented
461#394C2318yescomplemented
462#394C2318yescomplemented
463#393C2318yes—
464#393C2318yescomplemented
465#393C2318yescomplemented
466#392C2318yes—
467#392C2318yes—
468#392C2318yescomplemented
469#392C2318yescomplemented
470#392C2318yescomplemented
471#392C2318yescomplemented
472#391C2318yescomplemented
473#390C2318yes—
474#390C2318yes—
475#390C2318yes—
476#390C2318yes—
477#390C2318yes—
478#390C2318yescomplemented
479#390C2318yescomplemented
480#390C2318yescomplemented
481#390C2318yescomplemented
482#389C2318yescomplemented
483#389C2318yescomplemented
484#389C2318yescomplemented
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yes—
490#388C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#387C2318yescomplemented
502#387C2318yescomplemented
503#387C2318yescomplemented
504#387C2318yescomplemented
505#387C2318yescomplemented
506#386C2318yes—
507#386C2318yes—
508#386C2318yes—
509#386C2318yescomplemented
510#386C2318yescomplemented
511#386C2318yescomplemented
512#386C2318yescomplemented
513#386C2318yescomplemented
514#386C2318yescomplemented
515#386C2318yescomplemented
516#386C2318yescomplemented
517#386C2318yescomplemented
518#385C2318yes—
519#385C2318yes—
520#385C2318yescomplemented
521#385C2318yescomplemented
522#385C2318yescomplemented
523#385C2318yescomplemented
524#385C2318yescomplemented
525#385C2318yescomplemented
526#385C2318yescomplemented
527#385C2318yescomplemented
528#381C2318yescomplemented
529#381C2318yescomplemented
530#380C2318yes—
531#380C2318yescomplemented
532#379C2318yes—
533#379C2318yes—
534#379C2318yes—
535#379C2318yes—
536#379C2318yes—
537C4×C4⋊C4C2318yescomplemented
538C4×C4⋊C4C2318yescomplemented
539C4×C22⋊C4C2318yescomplemented
540C4×C22⋊C4C2318yescomplemented
541C4×C22⋊C4C2318yescomplemented
542C4×C22⋊C4C2318yescomplemented
543C4×C22⋊C4C2318yescomplemented
544C4×C22⋊C4C2318yescomplemented
545C4×C22⋊C4C2318yescomplemented
546C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C25—24no—
578C25—24no—
579C25—24no—
580C25—24no—
581C25—24no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25—42no—
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2414yes—
599C25C2414yes—
600C2×#41—232no—
601C2×#41—416no—
602C2×#41—416no—
603C2×#41—464no—
604C22×Q8—24no—
605C22×Q8—24no—
606C22×Q8—24no—
607C22×Q8—42no—
608C22×Q8—42no—
609C22×Q8—42no—
610C22×Q8C2414yes—
611C22×Q8C2414yes—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—232no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—416no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—416no—
658C22×D4—464no—
659C22×D4C2×D418yes—
660C22×D4#4118yescomplemented
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4C2×D418yes—
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2414yes—
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2414yes—
741C23×C4C2414yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C4⋊Q8—416no—
745#126—232no—
746#126—232no—
747#125—232no—
748#125—232no—
749#124—232no—
750#124—416no—
751#123—232no—
752#123—232no—
753#123—232no—
754#123—232no—
755#123—416no—
756#123C2×D4164yescomplemented
757C22⋊Q8—232no—
758C22⋊Q8—232no—
759C22⋊Q8—232no—
760C22⋊Q8—232no—
761#121—232no—
762#121—232no—
763#121—232no—
764#121—232no—
765#121—232no—
766#121—416no—
767#120—232no—
768#120—232no—
769#120—232no—
770#120—232no—
771C4×D4—232no—
772C4×D4—232no—
773C4×D4—232no—
774C4×D4—232no—
775C4×D4—416no—
776C4×D4—416no—
777C4×D4—416no—
778C2×C4⋊C4—24no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—24no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—24no—
789C2×C4⋊C4—24no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—24no—
794C2×C4⋊C4—24no—
795C2×C4⋊C4—24no—
796C2×C4⋊C4—232no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—42no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—42no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4C2×D418yes—
805C2×C4⋊C4C2×D418yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—232no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—24no—
855C2×C22⋊C4—24no—
856C2×C22⋊C4—24no—
857C2×C22⋊C4—24no—
858C2×C22⋊C4—24no—
859C2×C22⋊C4—24no—
860C2×C22⋊C4—24no—
861C2×C22⋊C4—24no—
862C2×C22⋊C4—232no—
863C2×C22⋊C4—416no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4—42no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4—42no—
891C2×C22⋊C4C2×D418yes—
892C2×C22⋊C4C2×D418yes—
893C2×C22⋊C4C2×D418yes—
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×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—42no—
956C2×C42—42no—
957C2×C42—42no—
958C2×C42—42no—
959C2×C42—42no—
960C2×C42—42no—
961C2×C42—42no—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—28no—
1047C24—28no—
1048C24—28no—
1049C24—28no—
1050C24—28no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24—44no—
1060C24—416no—
1061C24—416no—
1062C24—416no—
1063C24—416no—
1064C24—416no—
1065C24—88no—
1066C24—88no—
1067C24—88no—
1068C24—88no—
1069C24—88no—
1070C24—88no—
1071C24—88no—
1072C24—88no—
1073C24—88no—
1074C24C22×D414yes—
1075C24C22×D414yes—
1076C24C2×#4114yes—
1077C24C2×#4114yes—
1078C24H(5,𝔽2)14yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2511yescharacteristic
1087#41—4128no—
1088C2×Q8—28no—
1089C2×Q8—28no—
1090C2×Q8—28no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—416no—
1095C2×Q8—88no—
1096C2×D4—232no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—416no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—416no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—416no—
1137C2×D4—416no—
1138C2×D4—416no—
1139C2×D4—416no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—4128no—
1147C2×D4—416no—
1148C2×D4—416no—
1149C2×D4—416no—
1150C2×D4—416no—
1151C2×D4—416no—
1152C2×D4—88no—
1153C2×D4—88no—
1154C2×D4—88no—
1155C2×D4C22×D4116yes—
1156C2×D4C2×#41116yescomplemented
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—28no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—416no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—416no—
1243C22×C4—416no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—416no—
1258C22×C4—416no—
1259C22×C4—88no—
1260C22×C4—88no—
1261C22×C4—88no—
1262C22×C4—88no—
1263C22×C4—88no—
1264C22×C4—88no—
1265C22×C4C22×D414yes—
1266C22×C4C22×D414yes—
1267C22×C4C22×D414yes—
1268C22×C4C22×D414yes—
1269C22×C4C22×D414yes—
1270C22×C4C22×D4116yes—
1271C22×C4C2×#4114yes—
1272C22×C4H(5,𝔽2)14yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4C22×D4116yes—
1323C4⋊C4C22×D4116yes—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4C22×D4116yes—
1380C22⋊C4C22×D4116yes—
1381C22⋊C4C22×D4116yes—
1382C42—28no—
1383C42—28no—
1384C42—28no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—28no—
1423C23—28no—
1424C23—28no—
1425C23—28no—
1426C23—28no—
1427C23—28no—
1428C23—28no—
1429C23—28no—
1430C23—28no—
1431C23—28no—
1432C23—28no—
1433C23—28no—
1434C23—28no—
1435C23—28no—
1436C23—28no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—416no—
1452C23—416no—
1453C23—416no—
1454C23—416no—
1455C23—416no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—88no—
1495C23—88no—
1496C23—864no—
1497C23—88no—
1498C23—88no—
1499C23—88no—
1500C23—864no—
1501C23C23×D414yes—
1502C23C23×D414yes—
1503C23C23×D412yes—
1504C23C22×#4114yes—
1505C23C22×#4114yes—
1506C23C22×#4112yes—
1507C23C2×H(5,𝔽2)14yes—
1508C23C2×H(5,𝔽2)12yes—
1509C23C2×H(5,𝔽2)12yes—
1510C23#58512yes—
1511C23#58512yes—
1512C23#58512yes—
1513C23C2611yescharacteristic
1514Q8—416no—
1515Q8—88no—
1516D4—232no—
1517D4—416no—
1518D4—416no—
1519D4—416no—
1520D4—416no—
1521D4—416no—
1522D4—416no—
1523D4—416no—
1524D4—416no—
1525D4—416no—
1526D4—416no—
1527D4—416no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—28no—
1546C2×C4—28no—
1547C2×C4—28no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—416no—
1604C2×C4—416no—
1605C2×C4—416no—
1606C2×C4—416no—
1607C2×C4—416no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—88no—
1631C2×C4C23×D414yes—
1632C2×C4C23×D414yes—
1633C2×C4C23×D414yes—
1634C2×C4C23×D414yes—
1635C2×C4C23×D414yes—
1636C2×C4C22×#4114yes—
1637C2×C4C2×H(5,𝔽2)14yes—
1638C22—24no—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—24no—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—416no—
1654C22—416no—
1655C22—416no—
1656C22—416no—
1657C22—416no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—832no—
1693C22—832no—
1694C22—88no—
1695C22—88no—
1696C22D4×#4114yes—
1697C22#348414yes—
1698C22#350014yes—
1699C22#350514yes—
1700C22#351314yes—
1701C22#356014yes—
1702C22#356214yes—
1703C22C24×D411yescharacteristic
1704C22C23×#4111yescharacteristic
1705C22C22×H(5,𝔽2)11yescharacteristic
1706C22C22×H(5,𝔽2)11yescharacteristic
1707C22C2×#58511yescharacteristic
1708C22C2×#58511yescharacteristic
1709C22C2×#58511yescharacteristic
1710C4—24no—
1711C4—24no—
1712C4—24no—
1713C4—24no—
1714C4—24no—
1715C4—24no—
1716C4—24no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C2—44no—
1735C2—44no—
1736C2—44no—
1737C2—44no—
1738C2—44no—
1739C2—82no—
1740C2—82no—
1741C2#4300818yesdirect product factor
1742C2C2×D4×#4111yescharacteristic
1743C2C2×#356011yescharacteristic
1744C2C2×#356211yescharacteristic
1745C2C2×#348411yescharacteristic
1746C2C2×#350511yescharacteristic
1747C2C2×#351311yescharacteristic
1748C2C2×#350011yescharacteristic
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×#546C2semidirect
2. C22×#539C2semidirect
3. C2×#2701C2semidirect
4. C2×#2690C2semidirect
5. C2×#2688C2semidirect
6. C2×#2685C2semidirect
7. C2×#2678C2semidirect
8. C2×#2678C2semidirect
9. C2×#2676C2semidirect
10. C2×#2674C2semidirect
11. #43008C2direct (N × H)
12. C2×#2561C2semidirect
13. C2×#2558C2semidirect
14. C2×#2559C2semidirect
15. C2×#2557C2semidirect
16. C2×#2490C2semidirect
17. C2×#2432C2semidirect
18. C2×#2457C2semidirect
19. C2×#2452C2semidirect
20. C2×#2408C2semidirect
21. C2×#2466C2semidirect
22. C2×#2460C2semidirect
23. C2×#2480C2semidirect
24. C2×#2472C2semidirect
25. C2×#2405C2semidirect
26. C2×#2456C2semidirect
27. C2×#2443C2semidirect
28. C2×#2388C2semidirect
29. C2×#2374C2semidirect
30. C2×#2361C2semidirect
31. C2×#2358C2semidirect
32. C2×#2321C2semidirect
36. C2×#546C22semidirect
38. C2×#539C22semidirect
39. C22×C4⋊Q8C22semidirect
40. C22×#126C22semidirect
41. C22×#126C22semidirect
42. C22×#125C22semidirect
43. C22×#125C22semidirect
45. C22×#124C22semidirect
50. C22×#123C22semidirect
51. C22×#123C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
55. C22×C22⋊Q8C22semidirect
69. C22×C4×D4C22semidirect
70. C22×C4×D4C22semidirect
71. C22×C4×D4C22semidirect
72. C22×C4×D4C22semidirect
73. C23×C4⋊C4C22semidirect
77. #2701C22semidirect
78. #2690C22semidirect
79. #2688C22semidirect
80. #2685C22semidirect
81. #2678C22semidirect
82. #2678C22semidirect
83. #2676C22semidirect
84. #2674C22semidirect
85. #2561C22semidirect
86. #2559C22semidirect
87. #2558C22semidirect
88. #2557C22semidirect
89. #2490C22semidirect
90. #2480C22semidirect
91. #2472C22semidirect
92. #2466C22semidirect
93. #2460C22semidirect
94. #2457C22semidirect
95. #2456C22semidirect
96. #2452C22semidirect
97. #2443C22semidirect
98. #2432C22semidirect
99. #2408C22semidirect
100. #2405C22semidirect
101. C2×#400C22semidirect
102. C2×#400C22semidirect
103. C2×#399C22semidirect
104. C2×#398C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
113. C2×#396C22semidirect
114. C2×#396C22semidirect
115. C2×#396C22semidirect
116. C2×#396C22semidirect
117. #2388C22semidirect
118. C2×#395C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
134. C2×#393C22semidirect
135. C2×#393C22semidirect
138. C2×#392C22semidirect
139. C2×#392C22semidirect
140. C2×#392C22semidirect
141. C2×#392C22semidirect
142. #2374C22semidirect
143. #2361C22semidirect
144. #2358C22semidirect
145. #2321C22semidirect
146. C2×#391C22semidirect
152. C2×#390C22semidirect
153. C2×#390C22semidirect
154. C2×#390C22semidirect
155. C2×#390C22semidirect
156. C2×#389C22semidirect
157. C2×#389C22semidirect
158. C2×#389C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#381C22semidirect
203. C2×#381C22semidirect
205. C2×#380C22semidirect
211. C2×C4×C4⋊C4C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
262. C2×C4⋊Q8C23semidirect
265. C2×#126C23semidirect
266. C2×#126C23semidirect
269. C2×#125C23semidirect
270. C2×#125C23semidirect
274. C2×#124C23semidirect
280. C2×#123D4semidirect
285. C2×#123C23semidirect
286. C2×#123C23semidirect
292. C2×C22⋊Q8C23semidirect
293. C2×C22⋊Q8C23semidirect
294. C2×C22⋊Q8C23semidirect
325. C2×C4×D4C23semidirect
326. C2×C4×D4C23semidirect
327. C2×C4×D4C23semidirect
328. C2×C4×D4C23semidirect
357. C22×C4⋊C4C23semidirect
432. #400C23semidirect
433. #400C23semidirect
434. #399C23semidirect
435. #398C23semidirect
438. #397C23semidirect
439. #397C23semidirect
440. #397C23semidirect
441. #397C23semidirect
442. #397C23semidirect
444. #396C23semidirect
445. #396C23semidirect
446. #396C23semidirect
447. #396C23semidirect
448. #395C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
464. #393C23semidirect
465. #393C23semidirect
468. #392C23semidirect
469. #392C23semidirect
470. #392C23semidirect
471. #392C23semidirect
472. #391C23semidirect
478. #390C23semidirect
479. #390C23semidirect
480. #390C23semidirect
481. #390C23semidirect
482. #389C23semidirect
483. #389C23semidirect
484. #389C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
509. #386C23semidirect
510. #386C23semidirect
511. #386C23semidirect
512. #386C23semidirect
513. #386C23semidirect
514. #386C23semidirect
515. #386C23semidirect
516. #386C23semidirect
517. #386C23semidirect
520. #385C23semidirect
521. #385C23semidirect
522. #385C23semidirect
523. #385C23semidirect
524. #385C23semidirect
525. #385C23semidirect
526. #385C23semidirect
527. #385C23semidirect
528. #381C23semidirect
529. #381C23semidirect
531. #380C23semidirect
537. C4×C4⋊C4C23semidirect
538. C4×C4⋊C4C23semidirect
539. C4×C22⋊C4C23semidirect
540. C4×C22⋊C4C23semidirect
541. C4×C22⋊C4C23semidirect
542. C4×C22⋊C4C23semidirect
543. C4×C22⋊C4C23semidirect
544. C4×C22⋊C4C23semidirect
545. C4×C22⋊C4C23semidirect
546. C4×C22⋊C4C23semidirect
660. C22×D4#41semidirect
756. #123C2×D4semidirect
1156. C2×D4C2×#41semidirect
1741. C2#43008direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5462
C22×#5392
C2×#27012
C2×#26902
C2×#26882
C2×#26852
C2×#26782
C2×#26762
C2×#26742
#430082
C2×#25612
C2×#25582
C2×#25592
C2×#25572
C2×#24902
C2×#24322
C2×#24572
C2×#24522
C2×#24082
C2×#24662
C2×#24602
C2×#24802
C2×#24722
C2×#24052
C2×#24562
C2×#24432
C2×#23882
C2×#23742
C2×#23612
C2×#23582
C2×#23212