Finite Group Databasebeta

← C2×#41982 #7640295

Subgroups — C2×#41982 #7640295

Order 512.

9824 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#547C211yesmaximal, characteristic, complemented
2C22×#546C211yesmaximal, characteristic, complemented
3C2×#2732C211yesmaximal, characteristic, complemented
4C2×#2731C211yesmaximal, characteristic, complemented
5C2×#2730C211yesmaximal, characteristic, complemented
6C2×#2729C211yesmaximal, characteristic, complemented
7C2×#2701C211yesmaximal, characteristic, complemented
8C2×#2697C211yesmaximal, characteristic, complemented
9C2×#2682C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic, complemented
11#41982C2132yesmaximal, direct product factor
12C2×#2814C211yesmaximal, characteristic, complemented
13C2×#2813C211yesmaximal, characteristic, complemented
14C2×#2579C211yesmaximal, characteristic, complemented
15C2×#2534C211yesmaximal, characteristic, complemented
16C2×#2413C211yesmaximal, characteristic, complemented
17C2×#2430C211yesmaximal, characteristic, complemented
18C2×#2411C211yesmaximal, characteristic, complemented
19C2×#2404C211yesmaximal, characteristic, complemented
20C2×#2419C211yesmaximal, characteristic, complemented
21C2×#2405C211yesmaximal, characteristic, complemented
22C2×#2443C211yesmaximal, characteristic, complemented
23C2×#2443C211yesmaximal, characteristic, complemented
24C2×#2418C211yesmaximal, characteristic, complemented
25C2×#2410C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2630C211yesmaximal, characteristic, complemented
28C2×#2618C211yesmaximal, characteristic, complemented
29C2×#2618C211yesmaximal, characteristic, complemented
30C2×#2626C211yesmaximal, characteristic, complemented
31C22×#396C211yesmaximal, characteristic, complemented
32C2×#2311C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic, complemented
35C24×D4C2211yescharacteristic
36C2×#547—216no—
37C2×#547C22116yescomplemented
38C2×#546—216no—
39C2×#546C22116yescomplemented
40C22×C4⋊Q8C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic
42C22×#123C2211yescharacteristic
43C22×#123C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×#123C2211yescharacteristic, complemented
51C22×#123C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic, complemented
61C22×#120C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic, complemented
70C23×C4⋊C4C2211yescharacteristic, complemented
71C23×C4⋊C4C2211yescharacteristic, complemented
72C23×C4⋊C4C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74C23×C22⋊C4C2211yescharacteristic
75C23×C22⋊C4C2211yescharacteristic
76C23×C22⋊C4C2211yescharacteristic
77C23×C22⋊C4C2211yescharacteristic
78#2814C22116yescomplemented
79#2813C22116yescomplemented
80#2732C22116yescomplemented
81#2731C22116yescomplemented
82#2730C22116yescomplemented
83#2729C22116yescomplemented
84#2701C22116yescomplemented
85#2697C22116yescomplemented
86#2682C22116yescomplemented
87#2678C22116yescomplemented
88#2630C22116yescomplemented
89#2630C22116yescomplemented
90#2626C22116yescomplemented
91#2618C22116yescomplemented
92#2618C22116yescomplemented
93#2579C22116yescomplemented
94#2534C22116yescomplemented
95#2443C22116yescomplemented
96#2443C22116yescomplemented
97#2430C22116yescomplemented
98#2419C22116yescomplemented
99#2418C22116yescomplemented
100#2413C22116yescomplemented
101#2411C22116yescomplemented
102#2410C22116yescomplemented
103#2405C22116yescomplemented
104#2404C22116yescomplemented
105C2×#400C2211yescharacteristic, complemented
106C2×#399C2211yescharacteristic
107C2×#399C2211yescharacteristic, complemented
108C2×#399C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#398C2211yescharacteristic, complemented
115C2×#398C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#397C2211yescharacteristic, complemented
120C2×#397C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#396C2211yescharacteristic, complemented
129C2×#396C2211yescharacteristic, complemented
130C2×#396C2211yescharacteristic, complemented
131C2×#396C2211yescharacteristic, complemented
132C2×#396C2211yescharacteristic, complemented
133C2×#396C2211yescharacteristic, complemented
134C2×#396C2211yescharacteristic, complemented
135C2×#396C2211yescharacteristic, complemented
136C2×#396C2211yescharacteristic, complemented
137C2×#396C22116yescomplemented
138C2×#395C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic
145C2×#394C2211yescharacteristic
146C2×#394C2211yescharacteristic
147C2×#394C2211yescharacteristic, complemented
148C2×#394C2211yescharacteristic, complemented
149C2×#394C2211yescharacteristic, complemented
150C2×#394C2211yescharacteristic, complemented
151C2×#394C2211yescharacteristic, complemented
152C2×#394C2211yescharacteristic, complemented
153C2×#394C2211yescharacteristic, complemented
154C2×#393C2211yescharacteristic
155C2×#393C2211yescharacteristic, complemented
156C2×#393C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic
158C2×#392C2211yescharacteristic
159C2×#392C2211yescharacteristic
160C2×#392C2211yescharacteristic, complemented
161C2×#392C2211yescharacteristic, complemented
162#2311C22116yescomplemented
163C2×#391C2211yescharacteristic, complemented
164C2×#391C2211yescharacteristic, complemented
165C2×#390C2211yescharacteristic
166C2×#390C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic, complemented
168C2×#390C2211yescharacteristic, complemented
169C2×#389C2211yescharacteristic, complemented
170C2×#389C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#387C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#381C2211yescharacteristic, complemented
210C2×#381C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#380C2211yescharacteristic, complemented
215C2×#380C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic
217C2×#379C2211yescharacteristic
218C2×#379C2211yescharacteristic
219C2×#379C2211yescharacteristic
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C22×#41—28no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41—44no—
227C22×#41—44no—
228C22×#41D4116yescomplemented
229C22×#41C2318yes—
230C22×#41C2318yescomplemented
231C23×Q8C2311yescharacteristic
232C23×Q8C2311yescharacteristic
233C23×D4—28no—
234C23×D4—44no—
235C23×D4—44no—
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2318yes—
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265#547—2128no—
266#546—2128no—
267C2×C4⋊Q8—28no—
268C2×C4⋊Q8C2318yescomplemented
269C2×#124—28no—
270C2×#124C2318yes—
271C2×#123—28no—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—44no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123—44no—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yescomplemented
286C2×#123C2318yescomplemented
287C2×#123C2318yescomplemented
288C2×#123C2318yescomplemented
289C2×#123C2318yescomplemented
290C2×#123C2318yescomplemented
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8—28no—
293C2×C22⋊Q8—28no—
294C2×C22⋊Q8C2318yes—
295C2×C22⋊Q8C2318yescomplemented
296C2×C22⋊Q8C2318yescomplemented
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121—28no—
301C2×#121—28no—
302C2×#121—44no—
303C2×#121C2318yes—
304C2×#121C2318yes—
305C2×#121C2318yes—
306C2×#121C2318yes—
307C2×#121C2318yes—
308C2×#121C2318yescomplemented
309C2×#120—28no—
310C2×#120—28no—
311C2×#120—44no—
312C2×#120—44no—
313C2×#120C2318yes—
314C2×#120C2318yes—
315C2×#120C2318yes—
316C2×#120C2318yes—
317C2×C4×D4—28no—
318C2×C4×D4—28no—
319C2×C4×D4—28no—
320C2×C4×D4—28no—
321C2×C4×D4C2318yes—
322C2×C4×D4C2318yes—
323C2×C4×D4C2318yescomplemented
324C2×C4×D4C2318yescomplemented
325C2×#117—44no—
326C2×#117C2318yescomplemented
327C22×C4⋊C4—28no—
328C22×C4⋊C4—28no—
329C22×C4⋊C4—44no—
330C22×C4⋊C4—44no—
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⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2318yescomplemented
365C22×C4⋊C4C2318yescomplemented
366C22×C4⋊C4C2318yescomplemented
367C22×C4⋊C4C2318yescomplemented
368C22×C22⋊C4—28no—
369C22×C22⋊C4—28no—
370C22×C22⋊C4—44no—
371C22×C22⋊C4—44no—
372C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2318yes—
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×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2318yes—
431C22×C22⋊C4C2318yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436#400C2318yescomplemented
437#399C2318yes—
438#399C2318yescomplemented
439#399C2318yescomplemented
440#398C2318yescomplemented
441#398C2318yescomplemented
442#398C2318yescomplemented
443#398C2318yescomplemented
444#398C2318yescomplemented
445#398C2318yescomplemented
446#398C2318yescomplemented
447#397C2318yescomplemented
448#397C2318yescomplemented
449#397C2318yescomplemented
450#397C2318yescomplemented
451#397C2318yescomplemented
452#396C2318yes—
453#396C2318yes—
454#396C2318yes—
455#396C2318yes—
456#396C2318yes—
457#396C2318yescomplemented
458#396C2318yescomplemented
459#396C2318yescomplemented
460#396C2318yescomplemented
461#396C2318yescomplemented
462#396C2318yescomplemented
463#396C2318yescomplemented
464#396C2318yescomplemented
465#396C2318yescomplemented
466#396C2318yescomplemented
467#396C2318yescomplemented
468#395C2318yescomplemented
469#394C2318yes—
470#394C2318yes—
471#394C2318yes—
472#394C2318yes—
473#394C2318yes—
474#394C2318yes—
475#394C2318yes—
476#394C2318yes—
477#394C2318yescomplemented
478#394C2318yescomplemented
479#394C2318yescomplemented
480#394C2318yescomplemented
481#394C2318yescomplemented
482#394C2318yescomplemented
483#394C2318yescomplemented
484#393C2318yes—
485#393C2318yescomplemented
486#393C2318yescomplemented
487#392C2318yes—
488#392C2318yes—
489#392C2318yes—
490#392C2318yescomplemented
491#392C2318yescomplemented
492#391C2318yescomplemented
493#391C2318yescomplemented
494#390C2318yes—
495#390C2318yescomplemented
496#390C2318yescomplemented
497#390C2318yescomplemented
498#389C2318yescomplemented
499#389C2318yescomplemented
500#388C2318yes—
501#388C2318yes—
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#387C2318yescomplemented
509#387C2318yescomplemented
510#387C2318yescomplemented
511#387C2318yescomplemented
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#386C2318yes—
520#386C2318yescomplemented
521#386C2318yescomplemented
522#386C2318yescomplemented
523#386C2318yescomplemented
524#386C2318yescomplemented
525#386C2318yescomplemented
526#386C2318yescomplemented
527#386C2318yescomplemented
528#385C2318yes—
529#385C2318yes—
530#385C2318yes—
531#385C2318yescomplemented
532#385C2318yescomplemented
533#385C2318yescomplemented
534#385C2318yescomplemented
535#385C2318yescomplemented
536#385C2318yescomplemented
537#385C2318yescomplemented
538#381C2318yescomplemented
539#381C2318yescomplemented
540#380C2318yescomplemented
541#380C2318yescomplemented
542#380C2318yescomplemented
543#380C2318yescomplemented
544#380C2318yescomplemented
545#379C2318yes—
546#379C2318yes—
547#379C2318yes—
548#379C2318yes—
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
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2318yescomplemented
580C25—24no—
581C25—24no—
582C25—24no—
583C25—24no—
584C25—24no—
585C25—24no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25—42no—
591C25—42no—
592C25—42no—
593C25—42no—
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2414yes—
601C25C2411yescharacteristic
602C25C2414yes—
603C2×#41—232no—
604C2×#41—464no—
605C2×#41—416no—
606C2×#41—416no—
607C2×#41—416no—
608C2×#41—416no—
609C2×#41—464no—
610C2×#41C2×D4164yescomplemented
611C22×Q8—24no—
612C22×Q8—42no—
613C22×Q8—42no—
614C22×Q8—42no—
615C22×Q8—42no—
616C22×Q8C2×D418yes—
617C22×Q8C2414yes—
618C22×Q8C2414yes—
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—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—232no—
638C22×D4—24no—
639C22×D4—24no—
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—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—416no—
663C22×D4—416no—
664C22×D4—464no—
665C22×D4C2×D418yes—
666C22×D4C2×D418yes—
667C22×D4C2×D418yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
692C23×C4—24no—
693C23×C4—24no—
694C23×C4—24no—
695C23×C4—24no—
696C23×C4—24no—
697C23×C4—24no—
698C23×C4—24no—
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×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4—42no—
715C23×C4—42no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4C2×D418yes—
720C23×C4C2×D418yes—
721C23×C4C2×D418yes—
722C23×C4C2414yes—
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2414yes—
751C23×C4C2414yes—
752C23×C4C2414yes—
753C23×C4C2414yes—
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C4⋊Q8—232no—
760#124—232no—
761#123—232no—
762#123—232no—
763#123—232no—
764#123—232no—
765#123—232no—
766#123—232no—
767#123—416no—
768#123—416no—
769#123—416no—
770#123—416no—
771C22⋊Q8—232no—
772C22⋊Q8—232no—
773C22⋊Q8—232no—
774#121—232no—
775#121—232no—
776#121—232no—
777#121—232no—
778#121—232no—
779#121—416no—
780#120—232no—
781#120—232no—
782#120—416no—
783#120—416no—
784C4×D4—232no—
785C4×D4—232no—
786C4×D4—232no—
787C4×D4—232no—
788#117—416no—
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—232no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—24no—
800C2×C4⋊C4—24no—
801C2×C4⋊C4—24no—
802C2×C4⋊C4—24no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—24no—
805C2×C4⋊C4—24no—
806C2×C4⋊C4—24no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—416no—
809C2×C4⋊C4—42no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—416no—
816C2×C4⋊C4—42no—
817C2×C4⋊C4—42no—
818C2×C4⋊C4—42no—
819C2×C4⋊C4—42no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—42no—
822C2×C4⋊C4—42no—
823C2×C4⋊C4—42no—
824C2×C4⋊C4—42no—
825C2×C4⋊C4—42no—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C22⋊C4—24no—
860C2×C22⋊C4—24no—
861C2×C22⋊C4—24no—
862C2×C22⋊C4—24no—
863C2×C22⋊C4—24no—
864C2×C22⋊C4—24no—
865C2×C22⋊C4—24no—
866C2×C22⋊C4—24no—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—232no—
878C2×C22⋊C4—232no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—416no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4—42no—
891C2×C22⋊C4—42no—
892C2×C22⋊C4—42no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—416no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4—42no—
897C2×C22⋊C4—42no—
898C2×C22⋊C4—42no—
899C2×C22⋊C4—42no—
900C2×C22⋊C4—42no—
901C2×C22⋊C4—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—42no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4—42no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—42no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—42no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
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×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C42—24no—
976C2×C42—24no—
977C2×C42—42no—
978C2×C42—42no—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
982C2×C42C2414yes—
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—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
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—22no—
1047C24—22no—
1048C24—28no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—28no—
1058C24—28no—
1059C24—28no—
1060C24—28no—
1061C24—28no—
1062C24—44no—
1063C24—44no—
1064C24—44no—
1065C24—44no—
1066C24—44no—
1067C24—44no—
1068C24—44no—
1069C24—44no—
1070C24—416no—
1071C24—416no—
1072C24—416no—
1073C24—416no—
1074C24—416no—
1075C24—416no—
1076C24—88no—
1077C24—88no—
1078C24—88no—
1079C24—88no—
1080C24—88no—
1081C24—88no—
1082C24—88no—
1083C24—88no—
1084C24C22×D414yes—
1085C24C22×D414yes—
1086C24C22×D414yes—
1087C24H(5,𝔽2)14yes—
1088C24H(5,𝔽2)14yes—
1089C242−1+414yes—
1090C24C2512yes—
1091C24C2512yes—
1092C24C2512yes—
1093C24C2512yes—
1094C24C2512yes—
1095C24C2512yes—
1096C24C2512yes—
1097C24C2511yescharacteristic
1098#41—4128no—
1099#41—4128no—
1100C2×Q8—28no—
1101C2×Q8—416no—
1102C2×Q8—44no—
1103C2×Q8—44no—
1104C2×Q8—44no—
1105C2×Q8—44no—
1106C2×Q8—416no—
1107C2×Q8C22×D4116yes—
1108C2×D4—232no—
1109C2×D4—232no—
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—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—416no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—416no—
1142C2×D4—416no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—4128no—
1156C2×D4—416no—
1157C2×D4—416no—
1158C2×D4—416no—
1159C2×D4—416no—
1160C2×D4—416no—
1161C2×D4—88no—
1162C2×D4—88no—
1163C2×D4—88no—
1164C2×D4—88no—
1165C2×D4—88no—
1166C2×D4C22×D4116yes—
1167C2×D4C22×D4116yes—
1168C2×D4C22×D4116yes—
1169C22×C4—232no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—28no—
1176C22×C4—28no—
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—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—28no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—28no—
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—22no—
1225C22×C4—22no—
1226C22×C4—28no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—28no—
1253C22×C4—44no—
1254C22×C4—416no—
1255C22×C4—416no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4—44no—
1265C22×C4—44no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—416no—
1276C22×C4—416no—
1277C22×C4—416no—
1278C22×C4—416no—
1279C22×C4—416no—
1280C22×C4—416no—
1281C22×C4—416no—
1282C22×C4—88no—
1283C22×C4—88no—
1284C22×C4—88no—
1285C22×C4C22×D414yes—
1286C22×C4C22×D414yes—
1287C22×C4C22×D414yes—
1288C22×C4C22×D414yes—
1289C22×C4C22×D4116yes—
1290C22×C4C22×D4116yes—
1291C22×C4C22×D4116yes—
1292C22×C4H(5,𝔽2)14yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—28no—
1355C22⋊C4—28no—
1356C22⋊C4—28no—
1357C22⋊C4—28no—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C42—28no—
1407C42—28no—
1408C42—44no—
1409C42—44no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—28no—
1415C23—28no—
1416C23—28no—
1417C23—28no—
1418C23—28no—
1419C23—28no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—28no—
1439C23—28no—
1440C23—28no—
1441C23—28no—
1442C23—28no—
1443C23—28no—
1444C23—28no—
1445C23—28no—
1446C23—28no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—416no—
1469C23—416no—
1470C23—416no—
1471C23—416no—
1472C23—416no—
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—416no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—88no—
1508C23—88no—
1509C23—88no—
1510C23—88no—
1511C23—88no—
1512C23—88no—
1513C23—864no—
1514C23—88no—
1515C23—88no—
1516C23—864no—
1517C23#534116yes—
1518C23C23×D414yes—
1519C23C23×D414yes—
1520C23C23×D414yes—
1521C23C23×D412yes—
1522C23C2×H(5,𝔽2)14yes—
1523C23C2×H(5,𝔽2)14yes—
1524C23C2×H(5,𝔽2)12yes—
1525C23C2×H(5,𝔽2)12yes—
1526C23C2×H(5,𝔽2)12yes—
1527C23C2×2−1+414yes—
1528C23C2×2−1+412yes—
1529C23#58512yes—
1530C23#58512yes—
1531C23C2611yescharacteristic
1532Q8—416no—
1533Q8—416no—
1534D4—232no—
1535D4—232no—
1536D4—416no—
1537D4—416no—
1538D4—416no—
1539D4—416no—
1540D4—416no—
1541D4—416no—
1542D4—416no—
1543D4—416no—
1544D4—88no—
1545D4—88no—
1546D4—88no—
1547D4—88no—
1548D4—88no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—28no—
1560C2×C4—28no—
1561C2×C4—232no—
1562C2×C4—28no—
1563C2×C4—28no—
1564C2×C4—28no—
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—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—416no—
1623C2×C4—416no—
1624C2×C4—416no—
1625C2×C4—416no—
1626C2×C4—416no—
1627C2×C4—416no—
1628C2×C4—416no—
1629C2×C4—416no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—416no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4C23×D414yes—
1654C2×C4C23×D414yes—
1655C2×C4C23×D414yes—
1656C2×C4C23×D414yes—
1657C2×C4C2×H(5,𝔽2)14yes—
1658C22—24no—
1659C22—24no—
1660C22—24no—
1661C22—24no—
1662C22—24no—
1663C22—232no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—24no—
1668C22—24no—
1669C22—24no—
1670C22—24no—
1671C22—24no—
1672C22—24no—
1673C22—24no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—416no—
1684C22—416no—
1685C22—416no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—832no—
1711C22—832no—
1712C22—88no—
1713C22—88no—
1714C22—88no—
1715C22C2×#53418yes—
1716C22C2×#53414yes—
1717C22#348814yes—
1718C22#348914yes—
1719C22#353514yes—
1720C22#353614yes—
1721C22#354214yes—
1722C22#356014yes—
1723C22C24×D411yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C22×H(5,𝔽2)11yescharacteristic
1726C22C22×H(5,𝔽2)11yescharacteristic
1727C22C22×2−1+411yescharacteristic
1728C22C2×#58511yescharacteristic
1729C22C2×#58511yescharacteristic
1730C4—24no—
1731C4—24no—
1732C4—24no—
1733C4—24no—
1734C4—24no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—42no—
1744C4—42no—
1745C4—42no—
1746C4—42no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C2—28no—
1755C2—44no—
1756C2—44no—
1757C2—44no—
1758C2—82no—
1759C2—82no—
1760C2—82no—
1761C2#4198218yesdirect product factor
1762C2C22×#53411yescharacteristic
1763C2C2×#354211yescharacteristic
1764C2C2×#353511yescharacteristic
1765C2C2×#353611yescharacteristic
1766C2C2×#356011yescharacteristic
1767C2C2×#348811yescharacteristic
1768C2C2×#348911yescharacteristic
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×#547C2semidirect
2. C22×#546C2semidirect
3. C2×#2732C2semidirect
4. C2×#2731C2semidirect
5. C2×#2730C2semidirect
6. C2×#2729C2semidirect
7. C2×#2701C2semidirect
8. C2×#2697C2semidirect
9. C2×#2682C2semidirect
10. C2×#2678C2semidirect
11. #41982C2direct (N × H)
12. C2×#2814C2semidirect
13. C2×#2813C2semidirect
14. C2×#2579C2semidirect
15. C2×#2534C2semidirect
16. C2×#2413C2semidirect
17. C2×#2430C2semidirect
18. C2×#2411C2semidirect
19. C2×#2404C2semidirect
20. C2×#2419C2semidirect
21. C2×#2405C2semidirect
22. C2×#2443C2semidirect
23. C2×#2443C2semidirect
24. C2×#2418C2semidirect
25. C2×#2410C2semidirect
26. C2×#2630C2semidirect
27. C2×#2630C2semidirect
28. C2×#2618C2semidirect
29. C2×#2618C2semidirect
30. C2×#2626C2semidirect
31. C22×#396C2semidirect
32. C2×#2311C2semidirect
34. C23×#41C22semidirect
37. C2×#547C22semidirect
39. C2×#546C22semidirect
40. C22×C4⋊Q8C22semidirect
46. C22×#123C22semidirect
47. C22×#123C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
50. C22×#123C22semidirect
51. C22×#123C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
60. C22×#121C22semidirect
67. C22×C4×D4C22semidirect
68. C22×C4×D4C22semidirect
69. C22×#117C22semidirect
70. C23×C4⋊C4C22semidirect
71. C23×C4⋊C4C22semidirect
72. C23×C4⋊C4C22semidirect
73. C23×C4⋊C4C22semidirect
78. #2814C22semidirect
79. #2813C22semidirect
80. #2732C22semidirect
81. #2731C22semidirect
82. #2730C22semidirect
83. #2729C22semidirect
84. #2701C22semidirect
85. #2697C22semidirect
86. #2682C22semidirect
87. #2678C22semidirect
88. #2630C22semidirect
89. #2630C22semidirect
90. #2626C22semidirect
91. #2618C22semidirect
92. #2618C22semidirect
93. #2579C22semidirect
94. #2534C22semidirect
95. #2443C22semidirect
96. #2443C22semidirect
97. #2430C22semidirect
98. #2419C22semidirect
99. #2418C22semidirect
100. #2413C22semidirect
101. #2411C22semidirect
102. #2410C22semidirect
103. #2405C22semidirect
104. #2404C22semidirect
105. C2×#400C22semidirect
107. C2×#399C22semidirect
108. C2×#399C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
114. C2×#398C22semidirect
115. C2×#398C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
119. C2×#397C22semidirect
120. C2×#397C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#396C22semidirect
129. C2×#396C22semidirect
130. C2×#396C22semidirect
131. C2×#396C22semidirect
132. C2×#396C22semidirect
133. C2×#396C22semidirect
134. C2×#396C22semidirect
135. C2×#396C22semidirect
136. C2×#396C22semidirect
137. C2×#396C22semidirect
138. C2×#395C22semidirect
147. C2×#394C22semidirect
148. C2×#394C22semidirect
149. C2×#394C22semidirect
150. C2×#394C22semidirect
151. C2×#394C22semidirect
152. C2×#394C22semidirect
153. C2×#394C22semidirect
155. C2×#393C22semidirect
156. C2×#393C22semidirect
160. C2×#392C22semidirect
161. C2×#392C22semidirect
162. #2311C22semidirect
163. C2×#391C22semidirect
164. C2×#391C22semidirect
166. C2×#390C22semidirect
167. C2×#390C22semidirect
168. C2×#390C22semidirect
169. C2×#389C22semidirect
170. C2×#389C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#381C22semidirect
210. C2×#381C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
214. C2×#380C22semidirect
215. C2×#380C22semidirect
220. C22×#95C22semidirect
228. C22×#41D4semidirect
230. C22×#41C23semidirect
268. C2×C4⋊Q8C23semidirect
285. C2×#123C23semidirect
286. C2×#123C23semidirect
287. C2×#123C23semidirect
288. C2×#123C23semidirect
289. C2×#123C23semidirect
290. C2×#123C23semidirect
295. C2×C22⋊Q8C23semidirect
296. C2×C22⋊Q8C23semidirect
308. C2×#121C23semidirect
323. C2×C4×D4C23semidirect
324. C2×C4×D4C23semidirect
326. C2×#117C23semidirect
364. C22×C4⋊C4C23semidirect
365. C22×C4⋊C4C23semidirect
366. C22×C4⋊C4C23semidirect
367. C22×C4⋊C4C23semidirect
436. #400C23semidirect
438. #399C23semidirect
439. #399C23semidirect
440. #398C23semidirect
441. #398C23semidirect
442. #398C23semidirect
443. #398C23semidirect
444. #398C23semidirect
445. #398C23semidirect
446. #398C23semidirect
447. #397C23semidirect
448. #397C23semidirect
449. #397C23semidirect
450. #397C23semidirect
451. #397C23semidirect
457. #396C23semidirect
458. #396C23semidirect
459. #396C23semidirect
460. #396C23semidirect
461. #396C23semidirect
462. #396C23semidirect
463. #396C23semidirect
464. #396C23semidirect
465. #396C23semidirect
466. #396C23semidirect
467. #396C23semidirect
468. #395C23semidirect
477. #394C23semidirect
478. #394C23semidirect
479. #394C23semidirect
480. #394C23semidirect
481. #394C23semidirect
482. #394C23semidirect
483. #394C23semidirect
485. #393C23semidirect
486. #393C23semidirect
490. #392C23semidirect
491. #392C23semidirect
492. #391C23semidirect
493. #391C23semidirect
495. #390C23semidirect
496. #390C23semidirect
497. #390C23semidirect
498. #389C23semidirect
499. #389C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #387C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #386C23semidirect
523. #386C23semidirect
524. #386C23semidirect
525. #386C23semidirect
526. #386C23semidirect
527. #386C23semidirect
531. #385C23semidirect
532. #385C23semidirect
533. #385C23semidirect
534. #385C23semidirect
535. #385C23semidirect
536. #385C23semidirect
537. #385C23semidirect
538. #381C23semidirect
539. #381C23semidirect
540. #380C23semidirect
541. #380C23semidirect
542. #380C23semidirect
543. #380C23semidirect
544. #380C23semidirect
579. C2×#95C23semidirect
610. C2×#41C2×D4semidirect
1761. C2#41982direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5472
C22×#5462
C2×#27322
C2×#27312
C2×#27302
C2×#27292
C2×#27012
C2×#26972
C2×#26822
C2×#26782
#419822
C2×#28142
C2×#28132
C2×#25792
C2×#25342
C2×#24132
C2×#24302
C2×#24112
C2×#24042
C2×#24192
C2×#24052
C2×#24432
C2×#24182
C2×#24102
C2×#26302
C2×#26182
C2×#26262
C22×#3962
C2×#23112