Finite Group Databasebeta

← C2×#37824 #7634945

Subgroups — C2×#37824 #7634945

Order 512.

9364 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#539C211yesmaximal, characteristic, complemented
2C22×#525C211yesmaximal, characteristic, complemented
3C2×#2697C211yesmaximal, characteristic, complemented
4C2×#2690C211yesmaximal, characteristic, complemented
5C2×#2685C211yesmaximal, characteristic, complemented
6C2×#2683C211yesmaximal, characteristic, complemented
7C2×#2681C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9C2×#2671C211yesmaximal, characteristic, complemented
10C2×#2668C211yesmaximal, characteristic, complemented
11#37824C2132yesmaximal, direct product factor
12C2×#2848C211yesmaximal, characteristic, complemented
13C2×#2559C211yesmaximal, characteristic, complemented
14C2×#2556C211yesmaximal, characteristic, complemented
15C2×#2406C211yesmaximal, characteristic, complemented
16C2×#2470C211yesmaximal, characteristic, complemented
17C2×#2478C211yesmaximal, characteristic, complemented
18C2×#2407C211yesmaximal, characteristic, complemented
19C2×#2454C211yesmaximal, characteristic, complemented
20C2×#2457C211yesmaximal, characteristic, complemented
21C2×#2466C211yesmaximal, characteristic, complemented
22C2×#2460C211yesmaximal, characteristic, complemented
23C2×#2463C211yesmaximal, characteristic, complemented
24C2×#2456C211yesmaximal, characteristic, complemented
25C2×#2449C211yesmaximal, characteristic, complemented
26C2×#2449C211yesmaximal, characteristic, complemented
27C2×#2663C211yesmaximal, characteristic, complemented
28C2×#2630C211yesmaximal, characteristic, complemented
29C2×#2361C211yesmaximal, characteristic, complemented
30C2×#2361C211yesmaximal, characteristic, complemented
31C2×#2335C211yesmaximal, characteristic, complemented
32C2×C4×#120C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C2×#539—216no—
36C2×#539C22116yescomplemented
37C22×#126C2211yescharacteristic
38C22×#126C2211yescharacteristic, complemented
39C22×#125C2211yescharacteristic, complemented
40C22×#125C2211yescharacteristic, complemented
41C2×#525—216no—
42C2×#525C22116yescomplemented
43C22×#123C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic, complemented
49C22×C22⋊Q8C2211yescharacteristic
50C22×C22⋊Q8C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic, complemented
56C22×C22⋊Q8C2211yescharacteristic, complemented
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic, complemented
74C22×#117C2211yescharacteristic
75C23×C4⋊C4C2211yescharacteristic, complemented
76C23×C4⋊C4C2211yescharacteristic, complemented
77#2848C22116yescomplemented
78#2697C22116yescomplemented
79#2690C22116yescomplemented
80#2685C22116yescomplemented
81#2683C22116yescomplemented
82#2681C22116yescomplemented
83#2678C22116yescomplemented
84#2671C22116yescomplemented
85#2668C22116yescomplemented
86#2663C22116yescomplemented
87#2630C22116yescomplemented
88#2559C22116yescomplemented
89#2556C22116yescomplemented
90#2478C22116yescomplemented
91#2470C22116yescomplemented
92#2466C22116yescomplemented
93#2463C22116yescomplemented
94#2460C22116yescomplemented
95#2457C22116yescomplemented
96#2456C22116yescomplemented
97#2454C22116yescomplemented
98#2449C22116yescomplemented
99#2449C22116yescomplemented
100#2407C22116yescomplemented
101#2406C22116yescomplemented
102C2×#400C2211yescharacteristic, complemented
103C2×#400C2211yescharacteristic, complemented
104C2×#399C2211yescharacteristic
105C2×#399C2211yescharacteristic
106C2×#399C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic
111C2×#397C2211yescharacteristic
112C2×#397C2211yescharacteristic
113C2×#397C2211yescharacteristic
114C2×#397C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic
117C2×#396C2211yescharacteristic
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic, complemented
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#395C2211yescharacteristic, complemented
123C2×#395C2211yescharacteristic, complemented
124C2×#395C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#393C2211yescharacteristic, complemented
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic, complemented
142#2361C22116yescomplemented
143#2361C22116yescomplemented
144#2335C22116yescomplemented
145C4×#120C22116yescomplemented
146C2×#391C2211yescharacteristic, complemented
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic
149C2×#390C2211yescharacteristic
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#389C2211yescharacteristic, complemented
153C2×#389C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic, complemented
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C22×#41—28no—
223C22×#41—44no—
224C22×#41—44no—
225C22×#41C2318yes—
226C23×Q8C2311yescharacteristic
227C23×Q8C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C24×C4—28no—
241C24×C4—44no—
242C24×C4—44no—
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2318yes—
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257#539—2128no—
258C2×#126—28no—
259C2×#126—28no—
260C2×#126C2318yes—
261C2×#126C2318yescomplemented
262C2×#125—28no—
263C2×#125—28no—
264C2×#125C2318yescomplemented
265C2×#125C2318yescomplemented
266#525—2128no—
267C2×#123—28no—
268C2×#123—28no—
269C2×#123—28no—
270C2×#123—28no—
271C2×#123—44no—
272C2×#123D4116yescomplemented
273C2×#123C2318yes—
274C2×#123C2318yes—
275C2×#123C2318yes—
276C2×#123C2318yes—
277C2×#123C2318yescomplemented
278C2×#123C2318yescomplemented
279C2×C22⋊Q8—28no—
280C2×C22⋊Q8—28no—
281C2×C22⋊Q8—28no—
282C2×C22⋊Q8—28no—
283C2×C22⋊Q8—28no—
284C2×C22⋊Q8—44no—
285C2×C22⋊Q8—44no—
286C2×C22⋊Q8—44no—
287C2×C22⋊Q8C2318yes—
288C2×C22⋊Q8C2318yes—
289C2×C22⋊Q8C2318yes—
290C2×C22⋊Q8C2318yes—
291C2×C22⋊Q8C2318yes—
292C2×C22⋊Q8C2318yescomplemented
293C2×C22⋊Q8C2318yescomplemented
294C2×C22⋊Q8C2318yescomplemented
295C2×#121—28no—
296C2×#121—28no—
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121C2318yes—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#121C2318yes—
305C2×#120—28no—
306C2×#120—28no—
307C2×#120—28no—
308C2×#120C2318yes—
309C2×#120C2318yes—
310C2×#120C2318yes—
311C2×C4×D4—28no—
312C2×C4×D4—28no—
313C2×C4×D4—28no—
314C2×C4×D4—28no—
315C2×C4×D4—28no—
316C2×C4×D4—28no—
317C2×C4×D4—44no—
318C2×C4×D4—44no—
319C2×C4×D4—44no—
320C2×C4×D4C2318yes—
321C2×C4×D4C2318yes—
322C2×C4×D4C2318yes—
323C2×C4×D4C2318yes—
324C2×C4×D4C2318yes—
325C2×C4×D4C2318yes—
326C2×C4×D4C2318yes—
327C2×C4×D4C2318yescomplemented
328C2×C4×D4C2318yescomplemented
329C2×#117—28no—
330C2×#117C2318yes—
331C22×C4⋊C4—28no—
332C22×C4⋊C4—44no—
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⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2318yescomplemented
370C22×C4⋊C4C2318yescomplemented
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⋊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×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430#400C2318yescomplemented
431#400C2318yescomplemented
432#399C2318yes—
433#399C2318yes—
434#399C2318yescomplemented
435#398C2318yescomplemented
436#398C2318yescomplemented
437#398C2318yescomplemented
438#397C2318yes—
439#397C2318yes—
440#397C2318yes—
441#397C2318yes—
442#397C2318yes—
443#396C2318yes—
444#396C2318yes—
445#396C2318yes—
446#396C2318yes—
447#396C2318yescomplemented
448#396C2318yescomplemented
449#396C2318yescomplemented
450#395C2318yescomplemented
451#395C2318yescomplemented
452#395C2318yescomplemented
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#394C2318yes—
462#394C2318yes—
463#394C2318yescomplemented
464#394C2318yescomplemented
465#393C2318yescomplemented
466#392C2318yes—
467#392C2318yes—
468#392C2318yes—
469#392C2318yescomplemented
470#391C2318yescomplemented
471#390C2318yes—
472#390C2318yes—
473#390C2318yes—
474#390C2318yes—
475#390C2318yes—
476#389C2318yescomplemented
477#389C2318yescomplemented
478#389C2318yescomplemented
479#389C2318yescomplemented
480#389C2318yescomplemented
481#389C2318yescomplemented
482#389C2318yescomplemented
483#388C2318yes—
484#388C2318yes—
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yescomplemented
490#388C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#387C2318yescomplemented
496#387C2318yescomplemented
497#387C2318yescomplemented
498#387C2318yescomplemented
499#387C2318yescomplemented
500#387C2318yescomplemented
501#387C2318yescomplemented
502#386C2318yes—
503#386C2318yes—
504#386C2318yes—
505#386C2318yes—
506#386C2318yes—
507#386C2318yes—
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yes—
512#386C2318yescomplemented
513#386C2318yescomplemented
514#386C2318yescomplemented
515#385C2318yes—
516#385C2318yes—
517#385C2318yes—
518#385C2318yes—
519#385C2318yes—
520#385C2318yes—
521#385C2318yes—
522#385C2318yes—
523#385C2318yes—
524#385C2318yescomplemented
525#385C2318yescomplemented
526#385C2318yescomplemented
527#385C2318yescomplemented
528#385C2318yescomplemented
529#385C2318yescomplemented
530#381C2318yescomplemented
531#380C2318yes—
532#380C2318yes—
533#380C2318yes—
534#380C2318yescomplemented
535#379C2318yes—
536#379C2318yes—
537#379C2318yes—
538C4×C4⋊C4C2318yescomplemented
539C4×C4⋊C4C2318yescomplemented
540C4×C22⋊C4C2318yes—
541C4×C22⋊C4C2318yes—
542C4×C22⋊C4C2318yes—
543C4×C22⋊C4C2318yescomplemented
544C4×C22⋊C4C2318yescomplemented
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C25—24no—
578C25—24no—
579C25—24no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2414yes—
591C2×#41—232no—
592C2×#41—416no—
593C2×#41—416no—
594C2×#41—464no—
595C22×Q8—24no—
596C22×Q8—24no—
597C22×Q8—24no—
598C22×Q8—42no—
599C22×Q8—42no—
600C22×Q8—42no—
601C22×Q8C2414yes—
602C22×Q8C2414yes—
603C22×D4—24no—
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—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
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×D4C2×D418yes—
638C22×D4#4118yescomplemented
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C23×C4—24no—
652C23×C4—24no—
653C23×C4—24no—
654C23×C4—24no—
655C23×C4—24no—
656C23×C4—24no—
657C23×C4—24no—
658C23×C4—24no—
659C23×C4—24no—
660C23×C4—24no—
661C23×C4—24no—
662C23×C4—24no—
663C23×C4—232no—
664C23×C4—24no—
665C23×C4—24no—
666C23×C4—24no—
667C23×C4—24no—
668C23×C4—24no—
669C23×C4—24no—
670C23×C4—24no—
671C23×C4—24no—
672C23×C4—24no—
673C23×C4—416no—
674C23×C4—416no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
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—464no—
693C23×C4C2×D418yes—
694C23×C4C2414yes—
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2414yes—
718C23×C4C2414yes—
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732#126—232no—
733#126—232no—
734#125—232no—
735#125—232no—
736#123—232no—
737#123—232no—
738#123—232no—
739#123—232no—
740#123—416no—
741#123C2×D4164yescomplemented
742C22⋊Q8—232no—
743C22⋊Q8—232no—
744C22⋊Q8—232no—
745C22⋊Q8—232no—
746C22⋊Q8—232no—
747C22⋊Q8—416no—
748C22⋊Q8—416no—
749C22⋊Q8—416no—
750#121—232no—
751#121—232no—
752#121—232no—
753#121—232no—
754#121—232no—
755#120—232no—
756#120—232no—
757#120—232no—
758C4×D4—232no—
759C4×D4—232no—
760C4×D4—232no—
761C4×D4—232no—
762C4×D4—232no—
763C4×D4—232no—
764C4×D4—416no—
765C4×D4—416no—
766C4×D4—416no—
767#117—232no—
768C2×C4⋊C4—24no—
769C2×C4⋊C4—24no—
770C2×C4⋊C4—24no—
771C2×C4⋊C4—24no—
772C2×C4⋊C4—24no—
773C2×C4⋊C4—24no—
774C2×C4⋊C4—24no—
775C2×C4⋊C4—24no—
776C2×C4⋊C4—24no—
777C2×C4⋊C4—24no—
778C2×C4⋊C4—24no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—24no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—24no—
789C2×C4⋊C4—24no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—232no—
793C2×C4⋊C4—416no—
794C2×C4⋊C4—42no—
795C2×C4⋊C4—42no—
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⋊C4C2×D418yes—
805C2×C4⋊C4C2×D418yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×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×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—24no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4—42no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4C2×D418yes—
890C2×C22⋊C4C2×D418yes—
891C2×C22⋊C4C2×D418yes—
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×C42—24no—
943C2×C42—24no—
944C2×C42—24no—
945C2×C42—24no—
946C2×C42—42no—
947C2×C42—42no—
948C2×C42—42no—
949C2×C42—42no—
950C2×C42—42no—
951C2×C42C2414yes—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
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—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
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—28no—
1024C24—22no—
1025C24—28no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—28no—
1030C24—22no—
1031C24—22no—
1032C24—44no—
1033C24—44no—
1034C24—44no—
1035C24—44no—
1036C24—416no—
1037C24—416no—
1038C24—416no—
1039C24—416no—
1040C24—416no—
1041C24—416no—
1042C24—416no—
1043C24C22×D414yes—
1044C24C22×D414yes—
1045C24C2×#4114yes—
1046C24C2×#4114yes—
1047C242−1+414yes—
1048C24C2512yes—
1049C24C2512yes—
1050C24C2512yes—
1051C24C2512yes—
1052C24C2512yes—
1053C24C2512yes—
1054C24C2511yescharacteristic
1055#41—4128no—
1056C2×Q8—28no—
1057C2×Q8—28no—
1058C2×Q8—28no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—416no—
1063C2×Q8—88no—
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—28no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—416no—
1086C2×D4—416no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—416no—
1101C2×D4—416no—
1102C2×D4—416no—
1103C2×D4—416no—
1104C2×D4—416no—
1105C2×D4—416no—
1106C2×D4—416no—
1107C2×D4—416no—
1108C2×D4—416no—
1109C2×D4—416no—
1110C2×D4C22×D4116yes—
1111C2×D4C2×#41116yescomplemented
1112C22×C4—232no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—28no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—28no—
1131C22×C4—28no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—28no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—28no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
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—28no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—28no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—28no—
1200C22×C4—28no—
1201C22×C4—44no—
1202C22×C4—416no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—416no—
1214C22×C4—416no—
1215C22×C4—416no—
1216C22×C4—416no—
1217C22×C4—416no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—416no—
1225C22×C4—416no—
1226C22×C4—416no—
1227C22×C4—4128no—
1228C22×C4—88no—
1229C22×C4—88no—
1230C22×C4—88no—
1231C22×C4C22×D414yes—
1232C22×C4C22×D414yes—
1233C22×C4C22×D414yes—
1234C22×C4C22×D414yes—
1235C22×C4C22×D414yes—
1236C22×C4C22×D4116yes—
1237C22×C4C2×#4114yes—
1238C22×C4H(5,𝔽2)14yes—
1239C22×C4H(5,𝔽2)14yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—28no—
1270C4⋊C4—28no—
1271C4⋊C4—28no—
1272C4⋊C4—28no—
1273C4⋊C4—28no—
1274C4⋊C4—28no—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4C22×D4116yes—
1300C4⋊C4C22×D4116yes—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
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—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4C22×D4116yes—
1349C22⋊C4C22×D4116yes—
1350C22⋊C4C22×D4116yes—
1351C42—28no—
1352C42—28no—
1353C42—28no—
1354C42—28no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—28no—
1398C23—28no—
1399C23—28no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—416no—
1413C23—416no—
1414C23—416no—
1415C23—416no—
1416C23—416no—
1417C23—416no—
1418C23—416no—
1419C23—4128no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23C23×D414yes—
1448C23C23×D414yes—
1449C23C23×D412yes—
1450C23C22×#4114yes—
1451C23C22×#4114yes—
1452C23C22×#4112yes—
1453C23C2×H(5,𝔽2)12yes—
1454C23C2×H(5,𝔽2)12yes—
1455C23C2×2−1+414yes—
1456C23C2×2−1+412yes—
1457C23#58512yes—
1458C23#58512yes—
1459C23C2611yescharacteristic
1460Q8—416no—
1461Q8—88no—
1462D4—416no—
1463D4—416no—
1464D4—416no—
1465D4—416no—
1466D4—416no—
1467D4—416no—
1468D4—416no—
1469D4—416no—
1470D4—416no—
1471D4—416no—
1472D4—416no—
1473D4—416no—
1474C2×C4—232no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—28no—
1492C2×C4—28no—
1493C2×C4—28no—
1494C2×C4—28no—
1495C2×C4—28no—
1496C2×C4—28no—
1497C2×C4—28no—
1498C2×C4—28no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
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—22no—
1538C2×C4—22no—
1539C2×C4—22no—
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—416no—
1551C2×C4—416no—
1552C2×C4—416no—
1553C2×C4—416no—
1554C2×C4—416no—
1555C2×C4—416no—
1556C2×C4—416no—
1557C2×C4—416no—
1558C2×C4—416no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—88no—
1577C2×C4—88no—
1578C2×C4—88no—
1579C2×C4C23×D414yes—
1580C2×C4C23×D414yes—
1581C2×C4C23×D414yes—
1582C2×C4C23×D414yes—
1583C2×C4C23×D414yes—
1584C2×C4C22×#4114yes—
1585C2×C4C2×H(5,𝔽2)14yes—
1586C2×C4C2×H(5,𝔽2)14yes—
1587C22—24no—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—24no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—24no—
1602C22—464no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—416no—
1620C22—416no—
1621C22—416no—
1622C22—416no—
1623C22—416no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—88no—
1636C22#345914yes—
1637C22D4×#4114yes—
1638C22#348414yes—
1639C22#348914yes—
1640C22#352014yes—
1641C22#353914yes—
1642C22#354114yes—
1643C22C24×D411yescharacteristic
1644C22C23×#4111yescharacteristic
1645C22C22×H(5,𝔽2)11yescharacteristic
1646C22C22×H(5,𝔽2)11yescharacteristic
1647C22C22×2−1+411yescharacteristic
1648C22C2×#58511yescharacteristic
1649C22C2×#58511yescharacteristic
1650C4—24no—
1651C4—24no—
1652C4—24no—
1653C4—24no—
1654C4—24no—
1655C4—24no—
1656C4—24no—
1657C4—24no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C2—44no—
1676C2—44no—
1677C2—44no—
1678C2—44no—
1679C2—44no—
1680C2—82no—
1681C2#3782418yesdirect product factor
1682C2C2×#345911yescharacteristic
1683C2C2×D4×#4111yescharacteristic
1684C2C2×#354111yescharacteristic
1685C2C2×#353911yescharacteristic
1686C2C2×#348411yescharacteristic
1687C2C2×#352011yescharacteristic
1688C2C2×#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×#539C2semidirect
2. C22×#525C2semidirect
3. C2×#2697C2semidirect
4. C2×#2690C2semidirect
5. C2×#2685C2semidirect
6. C2×#2683C2semidirect
7. C2×#2681C2semidirect
8. C2×#2678C2semidirect
9. C2×#2671C2semidirect
10. C2×#2668C2semidirect
11. #37824C2direct (N × H)
12. C2×#2848C2semidirect
13. C2×#2559C2semidirect
14. C2×#2556C2semidirect
15. C2×#2406C2semidirect
16. C2×#2470C2semidirect
17. C2×#2478C2semidirect
18. C2×#2407C2semidirect
19. C2×#2454C2semidirect
20. C2×#2457C2semidirect
21. C2×#2466C2semidirect
22. C2×#2460C2semidirect
23. C2×#2463C2semidirect
24. C2×#2456C2semidirect
25. C2×#2449C2semidirect
26. C2×#2449C2semidirect
27. C2×#2663C2semidirect
28. C2×#2630C2semidirect
29. C2×#2361C2semidirect
30. C2×#2361C2semidirect
31. C2×#2335C2semidirect
32. C2×C4×#120C2semidirect
36. C2×#539C22semidirect
38. C22×#126C22semidirect
39. C22×#125C22semidirect
40. C22×#125C22semidirect
42. C2×#525C22semidirect
47. C22×#123C22semidirect
48. C22×#123C22semidirect
54. C22×C22⋊Q8C22semidirect
55. C22×C22⋊Q8C22semidirect
56. C22×C22⋊Q8C22semidirect
72. C22×C4×D4C22semidirect
73. C22×C4×D4C22semidirect
75. C23×C4⋊C4C22semidirect
76. C23×C4⋊C4C22semidirect
77. #2848C22semidirect
78. #2697C22semidirect
79. #2690C22semidirect
80. #2685C22semidirect
81. #2683C22semidirect
82. #2681C22semidirect
83. #2678C22semidirect
84. #2671C22semidirect
85. #2668C22semidirect
86. #2663C22semidirect
87. #2630C22semidirect
88. #2559C22semidirect
89. #2556C22semidirect
90. #2478C22semidirect
91. #2470C22semidirect
92. #2466C22semidirect
93. #2463C22semidirect
94. #2460C22semidirect
95. #2457C22semidirect
96. #2456C22semidirect
97. #2454C22semidirect
98. #2449C22semidirect
99. #2449C22semidirect
100. #2407C22semidirect
101. #2406C22semidirect
102. C2×#400C22semidirect
103. C2×#400C22semidirect
106. C2×#399C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
119. C2×#396C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#395C22semidirect
123. C2×#395C22semidirect
124. C2×#395C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#393C22semidirect
141. C2×#392C22semidirect
142. #2361C22semidirect
143. #2361C22semidirect
144. #2335C22semidirect
145. C4×#120C22semidirect
146. C2×#391C22semidirect
152. C2×#389C22semidirect
153. C2×#389C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
157. C2×#389C22semidirect
158. C2×#389C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#381C22semidirect
210. C2×#380C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
261. C2×#126C23semidirect
264. C2×#125C23semidirect
265. C2×#125C23semidirect
272. C2×#123D4semidirect
277. C2×#123C23semidirect
278. C2×#123C23semidirect
292. C2×C22⋊Q8C23semidirect
293. C2×C22⋊Q8C23semidirect
294. C2×C22⋊Q8C23semidirect
327. C2×C4×D4C23semidirect
328. C2×C4×D4C23semidirect
369. C22×C4⋊C4C23semidirect
370. C22×C4⋊C4C23semidirect
430. #400C23semidirect
431. #400C23semidirect
434. #399C23semidirect
435. #398C23semidirect
436. #398C23semidirect
437. #398C23semidirect
447. #396C23semidirect
448. #396C23semidirect
449. #396C23semidirect
450. #395C23semidirect
451. #395C23semidirect
452. #395C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #393C23semidirect
469. #392C23semidirect
470. #391C23semidirect
476. #389C23semidirect
477. #389C23semidirect
478. #389C23semidirect
479. #389C23semidirect
480. #389C23semidirect
481. #389C23semidirect
482. #389C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
512. #386C23semidirect
513. #386C23semidirect
514. #386C23semidirect
524. #385C23semidirect
525. #385C23semidirect
526. #385C23semidirect
527. #385C23semidirect
528. #385C23semidirect
529. #385C23semidirect
530. #381C23semidirect
534. #380C23semidirect
538. C4×C4⋊C4C23semidirect
539. C4×C4⋊C4C23semidirect
543. C4×C22⋊C4C23semidirect
544. C4×C22⋊C4C23semidirect
638. C22×D4#41semidirect
741. #123C2×D4semidirect
1111. C2×D4C2×#41semidirect
1681. C2#37824direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5392
C22×#5252
C2×#26972
C2×#26902
C2×#26852
C2×#26832
C2×#26812
C2×#26782
C2×#26712
C2×#26682
#378242
C2×#28482
C2×#25592
C2×#25562
C2×#24062
C2×#24702
C2×#24782
C2×#24072
C2×#24542
C2×#24572
C2×#24662
C2×#24602
C2×#24632
C2×#24562
C2×#24492
C2×#26632
C2×#26302
C2×#23612
C2×#23352
C2×C4×#1202