Finite Group Databasebeta

← C2×#43035 #7667261

Subgroups — C2×#43035 #7667261

Order 512.

8682 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#559C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2715C211yesmaximal, characteristic, complemented
4C2×#2712C211yesmaximal, characteristic, complemented
5C2×#2708C211yesmaximal, characteristic, complemented
6C2×#2696C211yesmaximal, characteristic, complemented
7C2×#2682C211yesmaximal, characteristic, complemented
8C2×#2676C211yesmaximal, characteristic, complemented
9C2×#2670C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#43035C2132yesmaximal, direct product factor
12C2×#2554C211yesmaximal, characteristic, complemented
13C2×#2555C211yesmaximal, characteristic, complemented
14C2×#2543C211yesmaximal, characteristic, complemented
15C2×#2534C211yesmaximal, characteristic, complemented
16C2×#2491C211yesmaximal, characteristic, complemented
17C2×#2491C211yesmaximal, characteristic, complemented
18C2×#2414C211yesmaximal, characteristic, complemented
19C2×#2458C211yesmaximal, characteristic, complemented
20C2×#2469C211yesmaximal, characteristic, complemented
21C2×#2468C211yesmaximal, characteristic, complemented
22C2×#2429C211yesmaximal, characteristic, complemented
23C2×#2428C211yesmaximal, characteristic, complemented
24C2×#2459C211yesmaximal, characteristic, complemented
25C2×#2472C211yesmaximal, characteristic, complemented
26C2×#2456C211yesmaximal, characteristic, complemented
27C2×#2424C211yesmaximal, characteristic, complemented
28C2×#2392C211yesmaximal, characteristic, complemented
29C2×#2367C211yesmaximal, characteristic, complemented
30C2×#2359C211yesmaximal, characteristic, complemented
31C2×#2358C211yesmaximal, characteristic, complemented
32C2×#2325C211yesmaximal, characteristic, complemented
33C2×#559—216no—
34C2×#559C22116yescomplemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C22×C4⋊Q8C2211yescharacteristic, complemented
38C22×#127C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47C22×#124C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×#123C2211yescharacteristic, complemented
52C22×#123C2211yescharacteristic, complemented
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic, complemented
63C22×#121C2211yescharacteristic, complemented
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic
68C22×C4×Q8C2211yescharacteristic, complemented
69C22×C4×Q8C2211yescharacteristic, complemented
70C22×C4×D4C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic, complemented
77C22×C4×D4C2211yescharacteristic, complemented
78C22×#117C2211yescharacteristic, complemented
79C23×C22⋊C4C2211yescharacteristic
80C23×C22⋊C4C2211yescharacteristic
81#2715C22116yescomplemented
82#2712C22116yescomplemented
83#2708C22116yescomplemented
84#2696C22116yescomplemented
85#2682C22116yescomplemented
86#2676C22116yescomplemented
87#2670C22116yescomplemented
88#2669C22116yescomplemented
89#2555C22116yescomplemented
90#2554C22116yescomplemented
91#2543C22116yescomplemented
92#2534C22116yescomplemented
93#2491C22116yescomplemented
94#2491C22116yescomplemented
95#2472C22116yescomplemented
96#2469C22116yescomplemented
97#2468C22116yescomplemented
98#2459C22116yescomplemented
99#2458C22116yescomplemented
100#2456C22116yescomplemented
101#2429C22116yescomplemented
102#2428C22116yescomplemented
103#2424C22116yescomplemented
104#2414C22116yescomplemented
105C2×#400C2211yescharacteristic, complemented
106#2392C22116yescomplemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#395C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#393C2211yescharacteristic
133C2×#393C2211yescharacteristic
134C2×#393C2211yescharacteristic, complemented
135C2×#393C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic, complemented
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic, complemented
146#2367C22116yescomplemented
147#2359C22116yescomplemented
148#2358C22116yescomplemented
149#2325C22116yescomplemented
150C2×#391C2211yescharacteristic, complemented
151C2×#391C2211yescharacteristic, complemented
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic, complemented
160C2×#389C2211yescharacteristic, complemented
161C2×#389C2211yescharacteristic, complemented
162C2×#389C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#387C2211yescharacteristic, complemented
183C2×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#379C2211yescharacteristic
211C2×C4×C4⋊C4C2211yescharacteristic, complemented
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253#559—2128no—
254#538—2128no—
255C2×C4⋊Q8—44no—
256C2×C4⋊Q8C2318yescomplemented
257C2×#127—28no—
258C2×#127C2318yes—
259C2×#126—28no—
260C2×#126—28no—
261C2×#126C2318yes—
262C2×#126C2318yes—
263C2×#124—28no—
264C2×#124—28no—
265C2×#124—28no—
266C2×#124—28no—
267C2×#124—28no—
268C2×#124—28no—
269C2×#124—28no—
270C2×#124C2318yes—
271C2×#124C2318yes—
272C2×#124C2318yes—
273C2×#124C2318yes—
274C2×#124C2318yes—
275C2×#124C2318yescomplemented
276C2×#124C2318yescomplemented
277C2×#123—28no—
278C2×#123—28no—
279C2×#123—28no—
280C2×#123—28no—
281C2×#123D4116yescomplemented
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yescomplemented
286C2×#123C2318yescomplemented
287C2×C22⋊Q8—28no—
288C2×C22⋊Q8—44no—
289C2×C22⋊Q8C2318yes—
290C2×C22⋊Q8C2318yes—
291C2×#121—28no—
292C2×#121—28no—
293C2×#121—28no—
294C2×#121—28no—
295C2×#121—44no—
296C2×#121—44no—
297C2×#121—44no—
298C2×#121—44no—
299C2×#121—44no—
300C2×#121C2318yes—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#121C2318yes—
305C2×#121C2318yes—
306C2×#121C2318yes—
307C2×#121C2318yescomplemented
308C2×#121C2318yescomplemented
309C2×#120—28no—
310C2×#120—28no—
311C2×#120—28no—
312C2×#120—44no—
313C2×#120C2318yes—
314C2×#120C2318yes—
315C2×#120C2318yes—
316C2×#120C2318yes—
317C2×C4×Q8—28no—
318C2×C4×Q8—28no—
319C2×C4×Q8C2318yescomplemented
320C2×C4×Q8C2318yescomplemented
321C2×C4×D4—28no—
322C2×C4×D4—28no—
323C2×C4×D4—28no—
324C2×C4×D4—28no—
325C2×C4×D4—28no—
326C2×C4×D4—28no—
327C2×C4×D4—44no—
328C2×C4×D4—44no—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yes—
332C2×C4×D4C2318yes—
333C2×C4×D4C2318yes—
334C2×C4×D4C2318yes—
335C2×C4×D4C2318yescomplemented
336C2×C4×D4C2318yescomplemented
337C2×#117—44no—
338C2×#117C2318yescomplemented
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×C22⋊C4—28no—
365C22×C22⋊C4—44no—
366C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2318yes—
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×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×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436#400C2318yescomplemented
437#398C2318yescomplemented
438#398C2318yescomplemented
439#398C2318yescomplemented
440#397C2318yes—
441#397C2318yescomplemented
442#397C2318yescomplemented
443#396C2318yes—
444#396C2318yes—
445#396C2318yes—
446#396C2318yescomplemented
447#396C2318yescomplemented
448#395C2318yescomplemented
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yescomplemented
460#394C2318yescomplemented
461#394C2318yescomplemented
462#393C2318yes—
463#393C2318yes—
464#393C2318yescomplemented
465#393C2318yescomplemented
466#393C2318yescomplemented
467#392C2318yes—
468#392C2318yes—
469#392C2318yes—
470#392C2318yes—
471#392C2318yes—
472#392C2318yes—
473#392C2318yes—
474#392C2318yes—
475#392C2318yescomplemented
476#391C2318yescomplemented
477#391C2318yescomplemented
478#390C2318yes—
479#390C2318yes—
480#390C2318yes—
481#390C2318yes—
482#390C2318yes—
483#390C2318yescomplemented
484#390C2318yescomplemented
485#390C2318yescomplemented
486#389C2318yescomplemented
487#389C2318yescomplemented
488#389C2318yescomplemented
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yes—
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yes—
497#388C2318yes—
498#388C2318yes—
499#388C2318yes—
500#388C2318yescomplemented
501#388C2318yescomplemented
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#387C2318yescomplemented
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#386C2318yes—
521#386C2318yes—
522#386C2318yescomplemented
523#386C2318yescomplemented
524#386C2318yescomplemented
525#385C2318yes—
526#385C2318yes—
527#385C2318yes—
528#385C2318yescomplemented
529#385C2318yescomplemented
530#385C2318yescomplemented
531#385C2318yescomplemented
532#381C2318yes—
533#380C2318yes—
534#380C2318yescomplemented
535#380C2318yescomplemented
536#379C2318yes—
537C4×C4⋊C4C2318yescomplemented
538C4×C4⋊C4C2318yescomplemented
539C4×C4⋊C4C2318yescomplemented
540C4×C22⋊C4C2318yes—
541C4×C22⋊C4C2318yes—
542C4×C22⋊C4C2318yes—
543C4×C22⋊C4C2318yescomplemented
544C4×C22⋊C4C2318yescomplemented
545C4×C22⋊C4C2318yescomplemented
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2318yescomplemented
577C25—24no—
578C25—24no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2414yes—
592C22×Q8—24no—
593C22×Q8—24no—
594C22×Q8—24no—
595C22×Q8—24no—
596C22×Q8—24no—
597C22×Q8—42no—
598C22×Q8—42no—
599C22×Q8—42no—
600C22×Q8—42no—
601C22×Q8C2414yes—
602C22×Q8C2414yes—
603C22×Q8C2414yes—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—24no—
611C22×D4—24no—
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—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
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×D4C2×D418yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
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—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
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×C4C2×D418yes—
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
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×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C4⋊Q8—416no—
741#127—232no—
742#126—232no—
743#126—232no—
744#124—232no—
745#124—232no—
746#124—232no—
747#124—232no—
748#124—232no—
749#124—232no—
750#124—232no—
751#123—232no—
752#123—232no—
753#123—232no—
754#123—232no—
755#123C2×D4164yescomplemented
756C22⋊Q8—232no—
757C22⋊Q8—416no—
758#121—232no—
759#121—232no—
760#121—232no—
761#121—232no—
762#121—416no—
763#121—416no—
764#121—416no—
765#121—416no—
766#121—416no—
767#120—232no—
768#120—232no—
769#120—232no—
770#120—416no—
771C4×Q8—232no—
772C4×Q8—232no—
773C4×D4—232no—
774C4×D4—232no—
775C4×D4—232no—
776C4×D4—232no—
777C4×D4—232no—
778C4×D4—232no—
779C4×D4—416no—
780C4×D4—416no—
781#117—416no—
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—42no—
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⋊C4—42no—
805C2×C4⋊C4C2×D418yes—
806C2×C4⋊C4C2×D418yes—
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×C22⋊C4—24no—
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—24no—
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—24no—
863C2×C22⋊C4—24no—
864C2×C22⋊C4—24no—
865C2×C22⋊C4—232no—
866C2×C22⋊C4—416no—
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⋊C4C2×D418yes—
887C2×C22⋊C4C2×D418yes—
888C2×C22⋊C4C2×D418yes—
889C2×C22⋊C4#4118yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×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×C42—24no—
947C2×C42—24no—
948C2×C42—24no—
949C2×C42—24no—
950C2×C42—24no—
951C2×C42—24no—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—42no—
956C2×C42—42no—
957C2×C42—42no—
958C2×C42C2414yes—
959C2×C42C2414yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970#95C2414yes—
971#95C2414yes—
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—
1000C24—22no—
1001C24—22no—
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—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—416no—
1054C24—416no—
1055C24—88no—
1056C24—88no—
1057C24—88no—
1058C24—88no—
1059C24—88no—
1060C24C22×D414yes—
1061C24C22×D414yes—
1062C24C2×#4114yes—
1063C24C2512yes—
1064C24C2512yes—
1065C24C2512yes—
1066C24C2512yes—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2512yes—
1070C24C2511yescharacteristic
1071C2×Q8—28no—
1072C2×Q8—28no—
1073C2×Q8—28no—
1074C2×Q8—28no—
1075C2×Q8—28no—
1076C2×Q8—44no—
1077C2×Q8—44no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—416no—
1081C2×Q8—416no—
1082C2×Q8—88no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—416no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—416no—
1116C2×D4—416no—
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—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—416no—
1143C2×D4—416no—
1144C2×D4—88no—
1145C2×D4—88no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C2×D4—88no—
1154C2×D4C22×D4116yes—
1155C22×C4—22no—
1156C22×C4—22no—
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—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—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—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—28no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—44no—
1227C22×C4—416no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—88no—
1249C22×C4—88no—
1250C22×C4—88no—
1251C22×C4—88no—
1252C22×C4—88no—
1253C22×C4—88no—
1254C22×C4—88no—
1255C22×C4—88no—
1256C22×C4—88no—
1257C22×C4C22×D414yes—
1258C22×C4C22×D414yes—
1259C22×C4C22×D414yes—
1260C22×C4C22×D414yes—
1261C22×C4C22×D414yes—
1262C22×C4C22×D4116yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2×#4114yes—
1265C22×C4H(5,𝔽2)14yes—
1266C22×C4H(5,𝔽2)14yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
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—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
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—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4C22×D4116yes—
1315C4⋊C4C22×D4116yes—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
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—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
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⋊C4C22×D4116yes—
1369C22⋊C4C22×D4116yes—
1370C22⋊C4C22×D4116yes—
1371C22⋊C4C2×#41116yes—
1372C42—28no—
1373C42—28no—
1374C42—28no—
1375C42—28no—
1376C42—28no—
1377C42—28no—
1378C42—28no—
1379C42—28no—
1380C42—28no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—28no—
1409C23—28no—
1410C23—28no—
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—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—416no—
1440C23—416no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
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—88no—
1482C23—88no—
1483C23—88no—
1484C23—88no—
1485C23—88no—
1486C23—864no—
1487C23C23×D414yes—
1488C23C23×D414yes—
1489C23C23×D412yes—
1490C23C22×#4114yes—
1491C23C22×#4112yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23C2×H(5,𝔽2)12yes—
1494C23#58512yes—
1495C23#58512yes—
1496C23#58512yes—
1497C23C2611yescharacteristic
1498Q8—416no—
1499Q8—416no—
1500Q8—88no—
1501D4—416no—
1502D4—416no—
1503D4—416no—
1504D4—416no—
1505D4—416no—
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—28no—
1538C2×C4—28no—
1539C2×C4—28no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—28no—
1544C2×C4—28no—
1545C2×C4—28no—
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—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—416no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4—88no—
1615C2×C4—88no—
1616C2×C4C23×D414yes—
1617C2×C4C23×D414yes—
1618C2×C4C23×D414yes—
1619C2×C4C23×D414yes—
1620C2×C4C23×D414yes—
1621C2×C4C22×#4114yes—
1622C2×C4C22×#4114yes—
1623C2×C4C2×H(5,𝔽2)14yes—
1624C2×C4C2×H(5,𝔽2)14yes—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—416no—
1641C22—416no—
1642C22—416no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
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—832no—
1678C22—88no—
1679C22—88no—
1680C22—88no—
1681C22—88no—
1682C22D4×#4114yes—
1683C22#348814yes—
1684C22#349614yes—
1685C22#350614yes—
1686C22#351414yes—
1687C22#355814yes—
1688C22#356614yes—
1689C22C24×D411yescharacteristic
1690C22C23×#4111yescharacteristic
1691C22C22×H(5,𝔽2)11yescharacteristic
1692C22C22×H(5,𝔽2)11yescharacteristic
1693C22C2×#58511yescharacteristic
1694C22C2×#58511yescharacteristic
1695C22C2×#58511yescharacteristic
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—24no—
1701C4—24no—
1702C4—24no—
1703C4—24no—
1704C4—24no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C2—44no—
1721C2—44no—
1722C2—44no—
1723C2—82no—
1724C2—82no—
1725C2—82no—
1726C2—82no—
1727C2#4303518yesdirect product factor
1728C2C2×D4×#4111yescharacteristic
1729C2C2×#355811yescharacteristic
1730C2C2×#356611yescharacteristic
1731C2C2×#349611yescharacteristic
1732C2C2×#350611yescharacteristic
1733C2C2×#351411yescharacteristic
1734C2C2×#348811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#559C2semidirect
2. C22×#538C2semidirect
3. C2×#2715C2semidirect
4. C2×#2712C2semidirect
5. C2×#2708C2semidirect
6. C2×#2696C2semidirect
7. C2×#2682C2semidirect
8. C2×#2676C2semidirect
9. C2×#2670C2semidirect
10. C2×#2669C2semidirect
11. #43035C2direct (N × H)
12. C2×#2554C2semidirect
13. C2×#2555C2semidirect
14. C2×#2543C2semidirect
15. C2×#2534C2semidirect
16. C2×#2491C2semidirect
17. C2×#2491C2semidirect
18. C2×#2414C2semidirect
19. C2×#2458C2semidirect
20. C2×#2469C2semidirect
21. C2×#2468C2semidirect
22. C2×#2429C2semidirect
23. C2×#2428C2semidirect
24. C2×#2459C2semidirect
25. C2×#2472C2semidirect
26. C2×#2456C2semidirect
27. C2×#2424C2semidirect
28. C2×#2392C2semidirect
29. C2×#2367C2semidirect
30. C2×#2359C2semidirect
31. C2×#2358C2semidirect
32. C2×#2325C2semidirect
34. C2×#559C22semidirect
36. C2×#538C22semidirect
37. C22×C4⋊Q8C22semidirect
46. C22×#124C22semidirect
47. C22×#124C22semidirect
51. C22×#123C22semidirect
52. C22×#123C22semidirect
62. C22×#121C22semidirect
63. C22×#121C22semidirect
68. C22×C4×Q8C22semidirect
69. C22×C4×Q8C22semidirect
76. C22×C4×D4C22semidirect
77. C22×C4×D4C22semidirect
78. C22×#117C22semidirect
81. #2715C22semidirect
82. #2712C22semidirect
83. #2708C22semidirect
84. #2696C22semidirect
85. #2682C22semidirect
86. #2676C22semidirect
87. #2670C22semidirect
88. #2669C22semidirect
89. #2555C22semidirect
90. #2554C22semidirect
91. #2543C22semidirect
92. #2534C22semidirect
93. #2491C22semidirect
94. #2491C22semidirect
95. #2472C22semidirect
96. #2469C22semidirect
97. #2468C22semidirect
98. #2459C22semidirect
99. #2458C22semidirect
100. #2456C22semidirect
101. #2429C22semidirect
102. #2428C22semidirect
103. #2424C22semidirect
104. #2414C22semidirect
105. C2×#400C22semidirect
106. #2392C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#395C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
134. C2×#393C22semidirect
135. C2×#393C22semidirect
136. C2×#393C22semidirect
145. C2×#392C22semidirect
146. #2367C22semidirect
147. #2359C22semidirect
148. #2358C22semidirect
149. #2325C22semidirect
150. C2×#391C22semidirect
151. C2×#391C22semidirect
157. C2×#390C22semidirect
158. C2×#390C22semidirect
159. C2×#390C22semidirect
160. C2×#389C22semidirect
161. C2×#389C22semidirect
162. C2×#389C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
211. C2×C4×C4⋊C4C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
256. C2×C4⋊Q8C23semidirect
275. C2×#124C23semidirect
276. C2×#124C23semidirect
281. C2×#123D4semidirect
285. C2×#123C23semidirect
286. C2×#123C23semidirect
307. C2×#121C23semidirect
308. C2×#121C23semidirect
319. C2×C4×Q8C23semidirect
320. C2×C4×Q8C23semidirect
335. C2×C4×D4C23semidirect
336. C2×C4×D4C23semidirect
338. C2×#117C23semidirect
436. #400C23semidirect
437. #398C23semidirect
438. #398C23semidirect
439. #398C23semidirect
441. #397C23semidirect
442. #397C23semidirect
446. #396C23semidirect
447. #396C23semidirect
448. #395C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
464. #393C23semidirect
465. #393C23semidirect
466. #393C23semidirect
475. #392C23semidirect
476. #391C23semidirect
477. #391C23semidirect
483. #390C23semidirect
484. #390C23semidirect
485. #390C23semidirect
486. #389C23semidirect
487. #389C23semidirect
488. #389C23semidirect
500. #388C23semidirect
501. #388C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #387C23semidirect
508. #387C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
522. #386C23semidirect
523. #386C23semidirect
524. #386C23semidirect
528. #385C23semidirect
529. #385C23semidirect
530. #385C23semidirect
531. #385C23semidirect
534. #380C23semidirect
535. #380C23semidirect
537. C4×C4⋊C4C23semidirect
538. C4×C4⋊C4C23semidirect
539. C4×C4⋊C4C23semidirect
543. C4×C22⋊C4C23semidirect
544. C4×C22⋊C4C23semidirect
545. C4×C22⋊C4C23semidirect
576. C2×#95C23semidirect
755. #123C2×D4semidirect
1727. C2#43035direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5592
C22×#5382
C2×#27152
C2×#27122
C2×#27082
C2×#26962
C2×#26822
C2×#26762
C2×#26702
C2×#26692
#430352
C2×#25542
C2×#25552
C2×#25432
C2×#25342
C2×#24912
C2×#24142
C2×#24582
C2×#24692
C2×#24682
C2×#24292
C2×#24282
C2×#24592
C2×#24722
C2×#24562
C2×#24242
C2×#23922
C2×#23672
C2×#23592
C2×#23582
C2×#23252