Finite Group Databasebeta

← C2×#46380 #7700541

Subgroups — C2×#46380 #7700541

Order 512.

9236 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#537C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2702C211yesmaximal, characteristic, complemented
4C2×#2701C211yesmaximal, characteristic, complemented
5C2×#2691C211yesmaximal, characteristic, complemented
6C2×#2689C211yesmaximal, characteristic, complemented
7C2×#2688C211yesmaximal, characteristic, complemented
8C2×#2686C211yesmaximal, characteristic, complemented
9C2×#2683C211yesmaximal, characteristic, complemented
10C2×#2682C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2678C211yesmaximal, characteristic, complemented
13C2×#2676C211yesmaximal, characteristic, complemented
14C2×#2674C211yesmaximal, characteristic, complemented
15#46380C2132yesmaximal, direct product factor
16C2×#2813C211yesmaximal, characteristic, complemented
17C2×#2579C211yesmaximal, characteristic, complemented
18C2×#2560C211yesmaximal, characteristic, complemented
19C2×#2413C211yesmaximal, characteristic, complemented
20C2×#2430C211yesmaximal, characteristic, complemented
21C2×#2404C211yesmaximal, characteristic, complemented
22C2×#2432C211yesmaximal, characteristic, complemented
23C2×#2414C211yesmaximal, characteristic, complemented
24C2×#2407C211yesmaximal, characteristic, complemented
25C2×#2452C211yesmaximal, characteristic, complemented
26C2×#2464C211yesmaximal, characteristic, complemented
27C2×#2450C211yesmaximal, characteristic, complemented
28C2×#2425C211yesmaximal, characteristic, complemented
29C2×#2424C211yesmaximal, characteristic, complemented
30C2×#2424C211yesmaximal, characteristic, complemented
31C2×#2437C211yesmaximal, characteristic, complemented
32C2×#2324C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic, complemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C2×#537—216no—
38C2×#537C22116yescomplemented
39C22×C4⋊Q8C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic
41C22×#126C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic, complemented
49C22×C22⋊Q8C2211yescharacteristic
50C22×C22⋊Q8C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic, complemented
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×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic, complemented
67C22×#121C2211yescharacteristic, complemented
68C22×#120C2211yescharacteristic
69C22×#120C2211yescharacteristic
70C22×#120C2211yescharacteristic
71C22×#120C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×#117C2211yescharacteristic, complemented
77C23×C4⋊C4C2211yescharacteristic, complemented
78C23×C22⋊C4C2211yescharacteristic
79C23×C22⋊C4C2211yescharacteristic
80#2813C22116yescomplemented
81#2702C22116yescomplemented
82#2701C22116yescomplemented
83#2691C22116yescomplemented
84#2689C22116yescomplemented
85#2688C22116yescomplemented
86#2686C22116yescomplemented
87#2683C22116yescomplemented
88#2682C22116yescomplemented
89#2678C22116yescomplemented
90#2678C22116yescomplemented
91#2676C22116yescomplemented
92#2674C22116yescomplemented
93#2579C22116yescomplemented
94#2560C22116yescomplemented
95#2464C22116yescomplemented
96#2452C22116yescomplemented
97#2450C22116yescomplemented
98#2437C22116yescomplemented
99#2432C22116yescomplemented
100#2430C22116yescomplemented
101#2425C22116yescomplemented
102#2424C22116yescomplemented
103#2424C22116yescomplemented
104#2414C22116yescomplemented
105#2413C22116yescomplemented
106#2407C22116yescomplemented
107#2404C22116yescomplemented
108C2×#400C2211yescharacteristic, complemented
109C2×#400C2211yescharacteristic, complemented
110C2×#399C2211yescharacteristic
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#398C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic
116C2×#397C2211yescharacteristic
117C2×#397C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic, complemented
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#395C2211yescharacteristic, complemented
129C2×#395C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#394C2211yescharacteristic, complemented
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#393C2211yescharacteristic
145C2×#393C2211yescharacteristic
146C2×#393C2211yescharacteristic
147C2×#393C2211yescharacteristic, complemented
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156#2324C22116yescomplemented
157C2×#391C2211yescharacteristic, complemented
158C2×#391C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic, complemented
166C2×#390C2211yescharacteristic, complemented
167C2×#389C2211yescharacteristic, complemented
168C2×#389C2211yescharacteristic, complemented
169C2×#389C2211yescharacteristic, complemented
170C2×#389C2211yescharacteristic, complemented
171C2×#389C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, 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
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#385C2211yescharacteristic, complemented
210C2×#385C2211yescharacteristic, complemented
211C2×#381C2211yescharacteristic
212C2×#381C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic
214C2×#380C2211yescharacteristic
215C2×#380C2211yescharacteristic, complemented
216C2×#380C2211yescharacteristic, complemented
217C2×#379C2211yescharacteristic
218C2×C4×C4⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C22×#41—28no—
223C22×#41—28no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41—44no—
227C22×#41—44no—
228C22×#41C2318yes—
229C22×#41C2318yescomplemented
230C23×Q8C2311yescharacteristic
231C23×Q8C2311yescharacteristic
232C23×Q8C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263#538—2128no—
264#537—2128no—
265C2×C4⋊Q8—44no—
266C2×C4⋊Q8C2318yescomplemented
267C2×#126—28no—
268C2×#126—28no—
269C2×#126C2318yes—
270C2×#126C2318yes—
271C2×#124—28no—
272C2×#124—28no—
273C2×#124C2318yes—
274C2×#124C2318yes—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—44no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yescomplemented
285C2×C22⋊Q8—28no—
286C2×C22⋊Q8—28no—
287C2×C22⋊Q8—28no—
288C2×C22⋊Q8—28no—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8—44no—
291C2×C22⋊Q8—44no—
292C2×C22⋊Q8C2318yes—
293C2×C22⋊Q8C2318yes—
294C2×C22⋊Q8C2318yes—
295C2×C22⋊Q8C2318yescomplemented
296C2×C22⋊Q8C2318yescomplemented
297C2×C22⋊Q8C2318yescomplemented
298C2×C22⋊Q8C2318yescomplemented
299C2×#121—28no—
300C2×#121—28no—
301C2×#121—28no—
302C2×#121—28no—
303C2×#121—28no—
304C2×#121—28no—
305C2×#121—28no—
306C2×#121—28no—
307C2×#121—28no—
308C2×#121—44no—
309C2×#121—44no—
310C2×#121D4116yescomplemented
311C2×#121C2318yes—
312C2×#121C2318yes—
313C2×#121C2318yes—
314C2×#121C2318yes—
315C2×#121C2318yes—
316C2×#121C2318yes—
317C2×#121C2318yes—
318C2×#121C2318yes—
319C2×#121C2318yes—
320C2×#121C2318yescomplemented
321C2×#121C2318yescomplemented
322C2×#121C2318yescomplemented
323C2×#120—28no—
324C2×#120—28no—
325C2×#120—44no—
326C2×#120—44no—
327C2×#120C2318yes—
328C2×#120C2318yes—
329C2×#120C2318yes—
330C2×#120C2318yes—
331C2×C4×D4—28no—
332C2×C4×D4—28no—
333C2×C4×D4—44no—
334C2×C4×D4—44no—
335C2×C4×D4C2318yes—
336C2×C4×D4C2318yes—
337C2×C4×D4C2318yes—
338C2×C4×D4C2318yes—
339C2×#117—44no—
340C2×#117C2318yescomplemented
341C22×C4⋊C4—28no—
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⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2318yescomplemented
374C22×C22⋊C4—28no—
375C22×C22⋊C4—44no—
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438#400C2318yescomplemented
439#400C2318yescomplemented
440#399C2318yes—
441#398C2318yescomplemented
442#398C2318yescomplemented
443#398C2318yescomplemented
444#398C2318yescomplemented
445#397C2318yes—
446#397C2318yes—
447#397C2318yescomplemented
448#397C2318yescomplemented
449#396C2318yes—
450#396C2318yes—
451#396C2318yes—
452#396C2318yes—
453#396C2318yes—
454#396C2318yes—
455#396C2318yescomplemented
456#396C2318yescomplemented
457#396C2318yescomplemented
458#395C2318yescomplemented
459#395C2318yescomplemented
460#394C2318yes—
461#394C2318yes—
462#394C2318yes—
463#394C2318yes—
464#394C2318yes—
465#394C2318yes—
466#394C2318yes—
467#394C2318yes—
468#394C2318yescomplemented
469#394C2318yescomplemented
470#394C2318yescomplemented
471#394C2318yescomplemented
472#394C2318yescomplemented
473#394C2318yescomplemented
474#393C2318yes—
475#393C2318yes—
476#393C2318yes—
477#393C2318yescomplemented
478#392C2318yes—
479#392C2318yes—
480#392C2318yes—
481#392C2318yes—
482#392C2318yes—
483#392C2318yes—
484#392C2318yes—
485#392C2318yes—
486#391C2318yescomplemented
487#391C2318yescomplemented
488#390C2318yes—
489#390C2318yes—
490#390C2318yes—
491#390C2318yes—
492#390C2318yes—
493#390C2318yes—
494#390C2318yescomplemented
495#390C2318yescomplemented
496#389C2318yescomplemented
497#389C2318yescomplemented
498#389C2318yescomplemented
499#389C2318yescomplemented
500#389C2318yescomplemented
501#388C2318yes—
502#388C2318yes—
503#388C2318yes—
504#388C2318yes—
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#387C2318yescomplemented
510#387C2318yescomplemented
511#387C2318yescomplemented
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#386C2318yes—
520#386C2318yes—
521#386C2318yes—
522#386C2318yes—
523#386C2318yes—
524#386C2318yescomplemented
525#386C2318yescomplemented
526#386C2318yescomplemented
527#385C2318yes—
528#385C2318yes—
529#385C2318yes—
530#385C2318yes—
531#385C2318yes—
532#385C2318yes—
533#385C2318yescomplemented
534#385C2318yescomplemented
535#385C2318yescomplemented
536#385C2318yescomplemented
537#385C2318yescomplemented
538#385C2318yescomplemented
539#385C2318yescomplemented
540#381C2318yes—
541#381C2318yescomplemented
542#380C2318yes—
543#380C2318yes—
544#380C2318yescomplemented
545#380C2318yescomplemented
546#379C2318yes—
547C4×C4⋊C4C2318yescomplemented
548C4×C22⋊C4C2318yescomplemented
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—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2414yes—
595C2×#41—232no—
596C2×#41—232no—
597C2×#41—416no—
598C2×#41—416no—
599C2×#41—416no—
600C2×#41—416no—
601C2×#41—464no—
602C2×#41—464no—
603C22×Q8—24no—
604C22×Q8—24no—
605C22×Q8—24no—
606C22×Q8—24no—
607C22×Q8—24no—
608C22×Q8—42no—
609C22×Q8—42no—
610C22×Q8—42no—
611C22×Q8—42no—
612C22×Q8C2414yes—
613C22×Q8C2414yes—
614C22×Q8C2414yes—
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—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
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—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4C2×D418yes—
667C22×D4C2×D418yes—
668C22×D4C2×D418yes—
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—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
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—24no—
700C23×C4—24no—
701C23×C4—24no—
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×C4—42no—
720C23×C4—42no—
721C23×C4—42no—
722C23×C4C2×D418yes—
723C23×C4C2414yes—
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×C4C2414yes—
742C23×C4C2414yes—
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2414yes—
753C23×C4C2414yes—
754C23×C4C2414yes—
755C23×C4C2414yes—
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C4⋊Q8—416no—
760#126—232no—
761#126—232no—
762#124—232no—
763#124—232no—
764#123—232no—
765#123—232no—
766#123—416no—
767#123—416no—
768#123—416no—
769C22⋊Q8—232no—
770C22⋊Q8—232no—
771C22⋊Q8—232no—
772C22⋊Q8—232no—
773C22⋊Q8—232no—
774C22⋊Q8—416no—
775C22⋊Q8—416no—
776#121—232no—
777#121—232no—
778#121—232no—
779#121—232no—
780#121—232no—
781#121—232no—
782#121—232no—
783#121—232no—
784#121—232no—
785#121—416no—
786#121—416no—
787#121C2×D4164yescomplemented
788#120—232no—
789#120—232no—
790#120—416no—
791#120—416no—
792C4×D4—232no—
793C4×D4—232no—
794C4×D4—416no—
795C4×D4—416no—
796#117—416no—
797C2×C4⋊C4—24no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—24no—
800C2×C4⋊C4—24no—
801C2×C4⋊C4—232no—
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—24no—
809C2×C4⋊C4—24no—
810C2×C4⋊C4—24no—
811C2×C4⋊C4—24no—
812C2×C4⋊C4—24no—
813C2×C4⋊C4—24no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4—24no—
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⋊C4—42no—
827C2×C4⋊C4—42no—
828C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
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—24no—
878C2×C22⋊C4—24no—
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—232no—
888C2×C22⋊C4—416no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4—42no—
891C2×C22⋊C4—42no—
892C2×C22⋊C4—42no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—42no—
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⋊C4C2×D418yes—
915C2×C22⋊C4C2×D418yes—
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×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×C42—24no—
971C2×C42—24no—
972C2×C42—24no—
973C2×C42—42no—
974C2×C42—42no—
975C2×C42—42no—
976C2×C42C2414yes—
977C2×C42C2414yes—
978C2×C42C2414yes—
979C2×C42C2414yes—
980C2×C42C2414yes—
981C2×C42C2414yes—
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—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
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—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—28no—
1058C24—28no—
1059C24—44no—
1060C24—44no—
1061C24—44no—
1062C24—44no—
1063C24—44no—
1064C24—416no—
1065C24—416no—
1066C24—88no—
1067C24—88no—
1068C24—88no—
1069C24—88no—
1070C24—88no—
1071C24C22×D414yes—
1072C24C22×D414yes—
1073C24C22×D414yes—
1074C242−1+414yes—
1075C24C2512yes—
1076C24C2512yes—
1077C24C2512yes—
1078C24C2512yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2511yescharacteristic
1083#41—4128no—
1084#41—4128no—
1085C2×Q8—28no—
1086C2×Q8—28no—
1087C2×Q8—28no—
1088C2×Q8—28no—
1089C2×Q8—28no—
1090C2×Q8—44no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—416no—
1095C2×Q8—416no—
1096C2×Q8—88no—
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—44no—
1116C2×D4—44no—
1117C2×D4—416no—
1118C2×D4—416no—
1119C2×D4—416no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—416no—
1134C2×D4—416no—
1135C2×D4—416no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
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—416no—
1155C2×D4—416no—
1156C2×D4—416no—
1157C2×D4—416no—
1158C2×D4—88no—
1159C2×D4—88no—
1160C2×D4—88no—
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—28no—
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—28no—
1186C22×C4—28no—
1187C22×C4—22no—
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—28no—
1198C22×C4—28no—
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—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—22no—
1225C22×C4—22no—
1226C22×C4—22no—
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—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—28no—
1247C22×C4—28no—
1248C22×C4—28no—
1249C22×C4—28no—
1250C22×C4—44no—
1251C22×C4—416no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—416no—
1258C22×C4—416no—
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—416no—
1274C22×C4—416no—
1275C22×C4—88no—
1276C22×C4—88no—
1277C22×C4—88no—
1278C22×C4—88no—
1279C22×C4—88no—
1280C22×C4—88no—
1281C22×C4C22×D414yes—
1282C22×C4C22×D414yes—
1283C22×C4C22×D414yes—
1284C22×C4C22×D414yes—
1285C22×C4C22×D4116yes—
1286C22×C4H(5,𝔽2)14yes—
1287C22×C4H(5,𝔽2)14yes—
1288C22×C4H(5,𝔽2)14yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
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—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
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—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
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⋊C4C22×D4116yes—
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—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—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
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⋊C4C22×D4116yes—
1397C22⋊C4C22×D4116yes—
1398C42—28no—
1399C42—28no—
1400C42—28no—
1401C42—44no—
1402C42—44no—
1403C42—44no—
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—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—28no—
1429C23—28no—
1430C23—28no—
1431C23—28no—
1432C23—28no—
1433C23—28no—
1434C23—28no—
1435C23—28no—
1436C23—28no—
1437C23—28no—
1438C23—28no—
1439C23—28no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
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—416no—
1462C23—416no—
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—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—88no—
1501C23—88no—
1502C23—88no—
1503C23—88no—
1504C23—88no—
1505C23—864no—
1506C23C23×D414yes—
1507C23C23×D414yes—
1508C23C23×D414yes—
1509C23C23×D412yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2×H(5,𝔽2)12yes—
1512C23C2×H(5,𝔽2)12yes—
1513C23C2×2−1+414yes—
1514C23C2×2−1+412yes—
1515C23#58512yes—
1516C23#58512yes—
1517C23C2611yescharacteristic
1518Q8—416no—
1519Q8—416no—
1520Q8—88no—
1521D4—416no—
1522D4—416no—
1523D4—416no—
1524D4—416no—
1525D4—416no—
1526D4—416no—
1527D4—416no—
1528D4—416no—
1529D4—416no—
1530D4—416no—
1531D4—88no—
1532D4—88no—
1533D4—88no—
1534D4—88no—
1535D4—88no—
1536D4—88no—
1537D4—88no—
1538D4—88no—
1539C2×C4—232no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—28no—
1555C2×C4—28no—
1556C2×C4—28no—
1557C2×C4—28no—
1558C2×C4—28no—
1559C2×C4—28no—
1560C2×C4—28no—
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—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—416no—
1613C2×C4—416no—
1614C2×C4—416no—
1615C2×C4—416no—
1616C2×C4—416no—
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—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4—88no—
1637C2×C4—88no—
1638C2×C4—88no—
1639C2×C4—88no—
1640C2×C4C23×D414yes—
1641C2×C4C23×D414yes—
1642C2×C4C23×D414yes—
1643C2×C4C23×D414yes—
1644C2×C4C2×H(5,𝔽2)14yes—
1645C2×C4C2×H(5,𝔽2)14yes—
1646C2×C4C2×H(5,𝔽2)14yes—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—24no—
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—416no—
1675C22—416no—
1676C22—416no—
1677C22—416no—
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—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—832no—
1701C22—88no—
1702C22—88no—
1703C22—88no—
1704C22#348414yes—
1705C22#348914yes—
1706C22#349614yes—
1707C22#353614yes—
1708C22#354114yes—
1709C22#354614yes—
1710C22#355114yes—
1711C22C24×D411yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×H(5,𝔽2)11yescharacteristic
1714C22C22×H(5,𝔽2)11yescharacteristic
1715C22C22×2−1+411yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22C2×#58511yescharacteristic
1718C4—24no—
1719C4—24no—
1720C4—24no—
1721C4—24no—
1722C4—24no—
1723C4—24no—
1724C4—24no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C2—44no—
1743C2—44no—
1744C2—44no—
1745C2—44no—
1746C2—82no—
1747C2—82no—
1748C2—82no—
1749C2#4638018yesdirect product factor
1750C2C2×#354111yescharacteristic
1751C2C2×#353611yescharacteristic
1752C2C2×#355111yescharacteristic
1753C2C2×#354611yescharacteristic
1754C2C2×#348411yescharacteristic
1755C2C2×#349611yescharacteristic
1756C2C2×#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×#537C2semidirect
2. C22×#538C2semidirect
3. C2×#2702C2semidirect
4. C2×#2701C2semidirect
5. C2×#2691C2semidirect
6. C2×#2689C2semidirect
7. C2×#2688C2semidirect
8. C2×#2686C2semidirect
9. C2×#2683C2semidirect
10. C2×#2682C2semidirect
11. C2×#2678C2semidirect
12. C2×#2678C2semidirect
13. C2×#2676C2semidirect
14. C2×#2674C2semidirect
15. #46380C2direct (N × H)
16. C2×#2813C2semidirect
17. C2×#2579C2semidirect
18. C2×#2560C2semidirect
19. C2×#2413C2semidirect
20. C2×#2430C2semidirect
21. C2×#2404C2semidirect
22. C2×#2432C2semidirect
23. C2×#2414C2semidirect
24. C2×#2407C2semidirect
25. C2×#2452C2semidirect
26. C2×#2464C2semidirect
27. C2×#2450C2semidirect
28. C2×#2425C2semidirect
29. C2×#2424C2semidirect
30. C2×#2424C2semidirect
31. C2×#2437C2semidirect
32. C2×#2324C2semidirect
34. C23×#41C22semidirect
36. C2×#538C22semidirect
38. C2×#537C22semidirect
39. C22×C4⋊Q8C22semidirect
48. C22×#123C22semidirect
52. C22×C22⋊Q8C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
55. C22×C22⋊Q8C22semidirect
65. C22×#121C22semidirect
66. C22×#121C22semidirect
67. C22×#121C22semidirect
76. C22×#117C22semidirect
77. C23×C4⋊C4C22semidirect
80. #2813C22semidirect
81. #2702C22semidirect
82. #2701C22semidirect
83. #2691C22semidirect
84. #2689C22semidirect
85. #2688C22semidirect
86. #2686C22semidirect
87. #2683C22semidirect
88. #2682C22semidirect
89. #2678C22semidirect
90. #2678C22semidirect
91. #2676C22semidirect
92. #2674C22semidirect
93. #2579C22semidirect
94. #2560C22semidirect
95. #2464C22semidirect
96. #2452C22semidirect
97. #2450C22semidirect
98. #2437C22semidirect
99. #2432C22semidirect
100. #2430C22semidirect
101. #2425C22semidirect
102. #2424C22semidirect
103. #2424C22semidirect
104. #2414C22semidirect
105. #2413C22semidirect
106. #2407C22semidirect
107. #2404C22semidirect
108. C2×#400C22semidirect
109. C2×#400C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
114. C2×#398C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
125. C2×#396C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#395C22semidirect
129. C2×#395C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#394C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
147. C2×#393C22semidirect
156. #2324C22semidirect
157. C2×#391C22semidirect
158. C2×#391C22semidirect
165. C2×#390C22semidirect
166. C2×#390C22semidirect
167. C2×#389C22semidirect
168. C2×#389C22semidirect
169. C2×#389C22semidirect
170. C2×#389C22semidirect
171. C2×#389C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#385C22semidirect
210. C2×#385C22semidirect
212. C2×#381C22semidirect
215. C2×#380C22semidirect
216. C2×#380C22semidirect
218. C2×C4×C4⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
229. C22×#41C23semidirect
266. C2×C4⋊Q8C23semidirect
284. C2×#123C23semidirect
295. C2×C22⋊Q8C23semidirect
296. C2×C22⋊Q8C23semidirect
297. C2×C22⋊Q8C23semidirect
298. C2×C22⋊Q8C23semidirect
310. C2×#121D4semidirect
320. C2×#121C23semidirect
321. C2×#121C23semidirect
322. C2×#121C23semidirect
340. C2×#117C23semidirect
373. C22×C4⋊C4C23semidirect
438. #400C23semidirect
439. #400C23semidirect
441. #398C23semidirect
442. #398C23semidirect
443. #398C23semidirect
444. #398C23semidirect
447. #397C23semidirect
448. #397C23semidirect
455. #396C23semidirect
456. #396C23semidirect
457. #396C23semidirect
458. #395C23semidirect
459. #395C23semidirect
468. #394C23semidirect
469. #394C23semidirect
470. #394C23semidirect
471. #394C23semidirect
472. #394C23semidirect
473. #394C23semidirect
477. #393C23semidirect
486. #391C23semidirect
487. #391C23semidirect
494. #390C23semidirect
495. #390C23semidirect
496. #389C23semidirect
497. #389C23semidirect
498. #389C23semidirect
499. #389C23semidirect
500. #389C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
524. #386C23semidirect
525. #386C23semidirect
526. #386C23semidirect
533. #385C23semidirect
534. #385C23semidirect
535. #385C23semidirect
536. #385C23semidirect
537. #385C23semidirect
538. #385C23semidirect
539. #385C23semidirect
541. #381C23semidirect
544. #380C23semidirect
545. #380C23semidirect
547. C4×C4⋊C4C23semidirect
548. C4×C22⋊C4C23semidirect
579. C2×#95C23semidirect
787. #121C2×D4semidirect
1749. C2#46380direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5372
C22×#5382
C2×#27022
C2×#27012
C2×#26912
C2×#26892
C2×#26882
C2×#26862
C2×#26832
C2×#26822
C2×#26782
C2×#26762
C2×#26742
#463802
C2×#28132
C2×#25792
C2×#25602
C2×#24132
C2×#24302
C2×#24042
C2×#24322
C2×#24142
C2×#24072
C2×#24522
C2×#24642
C2×#24502
C2×#24252
C2×#24242
C2×#24372
C2×#23242