Finite Group Databasebeta

← C2×#37801 #7634944

Subgroups — C2×#37801 #7634944

Order 512.

9488 conjugacy classes of subgroups.

The subgroup lattice has 1740 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×#2732C211yesmaximal, characteristic, complemented
4C2×#2728C211yesmaximal, characteristic, complemented
5C2×#2711C211yesmaximal, characteristic, complemented
6C2×#2685C211yesmaximal, characteristic, complemented
7C2×#2678C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9C2×#2673C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#37801C2132yesmaximal, direct product factor
12C2×#2849C211yesmaximal, characteristic, complemented
13C2×#2558C211yesmaximal, characteristic, complemented
14C2×#2554C211yesmaximal, characteristic, complemented
15C2×#2471C211yesmaximal, characteristic, complemented
16C2×#2475C211yesmaximal, characteristic, complemented
17C2×#2407C211yesmaximal, characteristic, complemented
18C2×#2407C211yesmaximal, characteristic, complemented
19C2×#2457C211yesmaximal, characteristic, complemented
20C2×#2468C211yesmaximal, characteristic, complemented
21C2×#2467C211yesmaximal, characteristic, complemented
22C2×#2460C211yesmaximal, characteristic, complemented
23C2×#2456C211yesmaximal, characteristic, complemented
24C2×#2456C211yesmaximal, characteristic, complemented
25C2×#2455C211yesmaximal, characteristic, complemented
26C2×#2443C211yesmaximal, characteristic, complemented
27C2×#2661C211yesmaximal, characteristic, complemented
28C2×#2635C211yesmaximal, characteristic, complemented
29C2×#2366C211yesmaximal, characteristic, complemented
30C2×#2361C211yesmaximal, characteristic, complemented
31C2×#2332C211yesmaximal, characteristic, complemented
32C2×C4×#120C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C2×#539—216no—
36C2×#539C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic, complemented
40C22×#125C2211yescharacteristic, complemented
41C22×#125C2211yescharacteristic, complemented
42C2×#525—216no—
43C2×#525C22116yescomplemented
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic, complemented
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#120C2211yescharacteristic
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×C4×D4C2211yescharacteristic, complemented
75C22×#117C2211yescharacteristic
76C23×C4⋊C4C2211yescharacteristic, complemented
77#2849C22116yescomplemented
78#2732C22116yescomplemented
79#2728C22116yescomplemented
80#2711C22116yescomplemented
81#2685C22116yescomplemented
82#2678C22116yescomplemented
83#2678C22116yescomplemented
84#2673C22116yescomplemented
85#2669C22116yescomplemented
86#2661C22116yescomplemented
87#2635C22116yescomplemented
88#2558C22116yescomplemented
89#2554C22116yescomplemented
90#2475C22116yescomplemented
91#2471C22116yescomplemented
92#2468C22116yescomplemented
93#2467C22116yescomplemented
94#2460C22116yescomplemented
95#2457C22116yescomplemented
96#2456C22116yescomplemented
97#2456C22116yescomplemented
98#2455C22116yescomplemented
99#2443C22116yescomplemented
100#2407C22116yescomplemented
101#2407C22116yescomplemented
102C2×#400C2211yescharacteristic, complemented
103C2×#400C2211yescharacteristic, complemented
104C2×#399C2211yescharacteristic
105C2×#399C2211yescharacteristic, complemented
106C2×#399C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic
111C2×#397C2211yescharacteristic
112C2×#397C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#392C2211yescharacteristic
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic
134C2×#392C2211yescharacteristic
135C2×#392C2211yescharacteristic
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic, complemented
140C2×#392C2211yescharacteristic, complemented
141C2×#392C2211yescharacteristic, complemented
142#2366C22116yescomplemented
143#2361C22116yescomplemented
144#2332C22116yescomplemented
145C4×#120C22116yescomplemented
146C2×#391C2211yescharacteristic, complemented
147C2×#391C2211yescharacteristic, complemented
148C2×#390C2211yescharacteristic
149C2×#390C2211yescharacteristic
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic, complemented
155C2×#390C2211yescharacteristic, complemented
156C2×#390C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#387C2211yescharacteristic, complemented
181C2×#387C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic
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×#381C2211yescharacteristic
209C2×#381C2211yescharacteristic
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C22×#41—28no—
223C22×#41—44no—
224C22×#41—44no—
225C22×#41C2318yes—
226C23×Q8C2311yescharacteristic
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
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C24×C4—28no—
246C24×C4—44no—
247C24×C4—44no—
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2318yes—
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261#539—2128no—
262C2×#127—28no—
263C2×#127C2318yes—
264C2×#126—28no—
265C2×#126—28no—
266C2×#126C2318yes—
267C2×#126C2318yescomplemented
268C2×#125—28no—
269C2×#125—28no—
270C2×#125C2318yescomplemented
271C2×#125C2318yescomplemented
272#525—2128no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—28no—
278C2×#123—28no—
279C2×#123—44no—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yes—
286C2×#123C2318yescomplemented
287C2×C22⋊Q8—28no—
288C2×C22⋊Q8—28no—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8D4116yescomplemented
291C2×C22⋊Q8C2318yes—
292C2×C22⋊Q8C2318yes—
293C2×C22⋊Q8C2318yescomplemented
294C2×C22⋊Q8C2318yescomplemented
295C2×#121—28no—
296C2×#121—28no—
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—44no—
300C2×#121—44no—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#121C2318yes—
305C2×#121C2318yes—
306C2×#121C2318yes—
307C2×#120—28no—
308C2×#120—28no—
309C2×#120—28no—
310C2×#120—44no—
311C2×#120C2318yes—
312C2×#120C2318yes—
313C2×#120C2318yes—
314C2×#120C2318yes—
315C2×C4×D4—28no—
316C2×C4×D4—28no—
317C2×C4×D4—28no—
318C2×C4×D4—28no—
319C2×C4×D4—28no—
320C2×C4×D4—28no—
321C2×C4×D4—44no—
322C2×C4×D4—44no—
323C2×C4×D4—44no—
324C2×C4×D4—44no—
325C2×C4×D4C2318yes—
326C2×C4×D4C2318yes—
327C2×C4×D4C2318yes—
328C2×C4×D4C2318yes—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yes—
332C2×C4×D4C2318yescomplemented
333C2×C4×D4C2318yescomplemented
334C2×C4×D4C2318yescomplemented
335C2×#117—28no—
336C2×#117C2318yes—
337C22×C4⋊C4—28no—
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⋊C4C2318yescomplemented
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⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432#400C2318yescomplemented
433#400C2318yescomplemented
434#399C2318yes—
435#399C2318yescomplemented
436#399C2318yescomplemented
437#398C2318yescomplemented
438#398C2318yescomplemented
439#398C2318yescomplemented
440#397C2318yes—
441#397C2318yes—
442#397C2318yescomplemented
443#396C2318yes—
444#396C2318yes—
445#396C2318yes—
446#396C2318yescomplemented
447#396C2318yescomplemented
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yescomplemented
459#394C2318yescomplemented
460#394C2318yescomplemented
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yes—
467#392C2318yes—
468#392C2318yes—
469#392C2318yescomplemented
470#392C2318yescomplemented
471#392C2318yescomplemented
472#391C2318yescomplemented
473#391C2318yescomplemented
474#390C2318yes—
475#390C2318yes—
476#390C2318yes—
477#390C2318yes—
478#390C2318yes—
479#390C2318yes—
480#390C2318yescomplemented
481#390C2318yescomplemented
482#390C2318yescomplemented
483#389C2318yescomplemented
484#389C2318yescomplemented
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#387C2318yescomplemented
502#387C2318yescomplemented
503#387C2318yescomplemented
504#387C2318yescomplemented
505#387C2318yescomplemented
506#387C2318yescomplemented
507#387C2318yescomplemented
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yescomplemented
519#386C2318yescomplemented
520#386C2318yescomplemented
521#386C2318yescomplemented
522#386C2318yescomplemented
523#385C2318yes—
524#385C2318yes—
525#385C2318yes—
526#385C2318yes—
527#385C2318yes—
528#385C2318yes—
529#385C2318yes—
530#385C2318yescomplemented
531#385C2318yescomplemented
532#385C2318yescomplemented
533#385C2318yescomplemented
534#381C2318yes—
535#381C2318yes—
536#380C2318yescomplemented
537#380C2318yescomplemented
538#379C2318yes—
539#379C2318yes—
540C4×C4⋊C4C2318yescomplemented
541C4×C4⋊C4C2318yescomplemented
542C4×C4⋊C4C2318yescomplemented
543C4×C22⋊C4C2318yes—
544C4×C22⋊C4C2318yes—
545C4×C22⋊C4C2318yes—
546C4×C22⋊C4C2318yescomplemented
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C25—24no—
578C25—24no—
579C25—24no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2414yes—
592C2×#41—232no—
593C2×#41—416no—
594C2×#41—416no—
595C2×#41—464no—
596C22×Q8—42no—
597C22×Q8—42no—
598C22×Q8C2×D418yes—
599C22×Q8C2414yes—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
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—24no—
622C22×D4—24no—
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×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#4118yescomplemented
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
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—
672C23×C4—24no—
673C23×C4—24no—
674C23×C4—24no—
675C23×C4—24no—
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—232no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
692C23×C4—416no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—416no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—464no—
711C23×C4C2×D418yes—
712C23×C4C2414yes—
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×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2414yes—
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748#127—232no—
749#126—232no—
750#126—232no—
751#125—232no—
752#125—232no—
753#123—232no—
754#123—232no—
755#123—232no—
756#123—232no—
757#123—232no—
758#123—232no—
759#123—416no—
760C22⋊Q8—232no—
761C22⋊Q8—232no—
762C22⋊Q8—232no—
763C22⋊Q8C2×D4164yescomplemented
764#121—232no—
765#121—232no—
766#121—232no—
767#121—232no—
768#121—416no—
769#121—416no—
770#120—232no—
771#120—232no—
772#120—232no—
773#120—416no—
774C4×D4—232no—
775C4×D4—232no—
776C4×D4—232no—
777C4×D4—232no—
778C4×D4—232no—
779C4×D4—232no—
780C4×D4—416no—
781C4×D4—416no—
782C4×D4—416no—
783C4×D4—416no—
784#117—232no—
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—24no—
797C2×C4⋊C4—24no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—24no—
800C2×C4⋊C4—24no—
801C2×C4⋊C4—24no—
802C2×C4⋊C4—232no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4—42no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4C2×D418yes—
813C2×C4⋊C4C2×D418yes—
814C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
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—24no—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4—42no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4—42no—
891C2×C22⋊C4—42no—
892C2×C22⋊C4—42no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—42no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4C2×D418yes—
897C2×C22⋊C4C2×D418yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—24no—
956C2×C42—24no—
957C2×C42—42no—
958C2×C42—42no—
959C2×C42—42no—
960C2×C42—42no—
961C2×C42—42no—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—28no—
1030C24—22no—
1031C24—28no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—28no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—44no—
1054C24—416no—
1055C24—416no—
1056C24—416no—
1057C24—416no—
1058C24—416no—
1059C24—416no—
1060C24—416no—
1061C24C22×D414yes—
1062C24C2×#4114yes—
1063C24C2×#4114yes—
1064C24H(5,𝔽2)14yes—
1065C24C2512yes—
1066C24C2512yes—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2512yes—
1070C24C2512yes—
1071C24C2512yes—
1072C24C2511yescharacteristic
1073#41—4128no—
1074C2×Q8—416no—
1075C2×Q8—44no—
1076C2×Q8—44no—
1077C2×Q8C22×D4116yes—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
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—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—416no—
1105C2×D4—44no—
1106C2×D4—44no—
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—44no—
1116C2×D4—44no—
1117C2×D4—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—416no—
1122C2×D4—416no—
1123C2×D4—416no—
1124C2×D4—416no—
1125C2×D4—416no—
1126C2×D4—416no—
1127C2×D4—416no—
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—416no—
1140C2×D4—416no—
1141C2×D4—416no—
1142C2×D4—416no—
1143C2×D4—416no—
1144C2×D4—88no—
1145C2×D4—88no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4C2×#41116yescomplemented
1150C22×C4—232no—
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—28no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—28no—
1169C22×C4—28no—
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—28no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—28no—
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—28no—
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—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—28no—
1227C22×C4—28no—
1228C22×C4—28no—
1229C22×C4—28no—
1230C22×C4—28no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—416no—
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—416no—
1246C22×C4—416no—
1247C22×C4—416no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—416no—
1255C22×C4—416no—
1256C22×C4—416no—
1257C22×C4—4128no—
1258C22×C4—416no—
1259C22×C4—88no—
1260C22×C4—88no—
1261C22×C4—88no—
1262C22×C4C22×D414yes—
1263C22×C4C22×D414yes—
1264C22×C4C22×D414yes—
1265C22×C4C22×D414yes—
1266C22×C4C22×D414yes—
1267C22×C4C22×D414yes—
1268C22×C4C22×D4116yes—
1269C22×C4C2×#4114yes—
1270C22×C4H(5,𝔽2)14yes—
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—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
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—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4C22×D4116yes—
1322C4⋊C4C22×D4116yes—
1323C4⋊C4C22×D4116yes—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—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⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4C22×D4116yes—
1377C22⋊C4C22×D4116yes—
1378C42—28no—
1379C42—28no—
1380C42—28no—
1381C42—28no—
1382C42—28no—
1383C42—44no—
1384C42—44no—
1385C42—44no—
1386C42—44no—
1387C42—44no—
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—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—28no—
1413C23—28no—
1414C23—28no—
1415C23—28no—
1416C23—28no—
1417C23—28no—
1418C23—28no—
1419C23—28no—
1420C23—28no—
1421C23—28no—
1422C23—28no—
1423C23—28no—
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—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—416no—
1446C23—416no—
1447C23—416no—
1448C23—416no—
1449C23—416no—
1450C23—416no—
1451C23—416no—
1452C23—4128no—
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—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23C23×D414yes—
1491C23C23×D412yes—
1492C23C22×#4114yes—
1493C23C22×#4114yes—
1494C23C22×#4112yes—
1495C23C2×H(5,𝔽2)14yes—
1496C23C2×H(5,𝔽2)12yes—
1497C23C2×H(5,𝔽2)12yes—
1498C23#58512yes—
1499C23#58512yes—
1500C23#58512yes—
1501C23C2611yescharacteristic
1502Q8—416no—
1503D4—416no—
1504D4—416no—
1505D4—416no—
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—416no—
1510D4—416no—
1511D4—416no—
1512D4—416no—
1513D4—416no—
1514D4—416no—
1515D4—416no—
1516D4—88no—
1517D4—88no—
1518D4—88no—
1519D4—88no—
1520D4—88no—
1521C2×C4—232no—
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—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—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—416no—
1595C2×C4—416no—
1596C2×C4—416no—
1597C2×C4—416no—
1598C2×C4—416no—
1599C2×C4—416no—
1600C2×C4—416no—
1601C2×C4—416no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—88no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4C23×D414yes—
1622C2×C4C23×D414yes—
1623C2×C4C23×D414yes—
1624C2×C4C23×D414yes—
1625C2×C4C23×D414yes—
1626C2×C4C23×D414yes—
1627C2×C4C22×#4114yes—
1628C2×C4C2×H(5,𝔽2)14yes—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—24no—
1633C22—24no—
1634C22—24no—
1635C22—24no—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—24no—
1641C22—464no—
1642C22—42no—
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—416no—
1656C22—416no—
1657C22—416no—
1658C22—416no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—88no—
1684C22—88no—
1685C22—88no—
1686C22#345914yes—
1687C22D4×#4114yes—
1688C22#348414yes—
1689C22#348714yes—
1690C22#351314yes—
1691C22#353314yes—
1692C22#353914yes—
1693C22C24×D411yescharacteristic
1694C22C23×#4111yescharacteristic
1695C22C22×H(5,𝔽2)11yescharacteristic
1696C22C22×H(5,𝔽2)11yescharacteristic
1697C22C2×#58511yescharacteristic
1698C22C2×#58511yescharacteristic
1699C22C2×#58511yescharacteristic
1700C4—24no—
1701C4—24no—
1702C4—24no—
1703C4—24no—
1704C4—24no—
1705C4—24no—
1706C4—24no—
1707C4—24no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C2—44no—
1725C2—44no—
1726C2—44no—
1727C2—44no—
1728C2—82no—
1729C2—82no—
1730C2—82no—
1731C2#3780118yesdirect product factor
1732C2C2×#345911yescharacteristic
1733C2C2×D4×#4111yescharacteristic
1734C2C2×#353311yescharacteristic
1735C2C2×#353911yescharacteristic
1736C2C2×#348411yescharacteristic
1737C2C2×#351311yescharacteristic
1738C2C2×#348711yescharacteristic
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×#2732C2semidirect
4. C2×#2728C2semidirect
5. C2×#2711C2semidirect
6. C2×#2685C2semidirect
7. C2×#2678C2semidirect
8. C2×#2678C2semidirect
9. C2×#2673C2semidirect
10. C2×#2669C2semidirect
11. #37801C2direct (N × H)
12. C2×#2849C2semidirect
13. C2×#2558C2semidirect
14. C2×#2554C2semidirect
15. C2×#2471C2semidirect
16. C2×#2475C2semidirect
17. C2×#2407C2semidirect
18. C2×#2407C2semidirect
19. C2×#2457C2semidirect
20. C2×#2468C2semidirect
21. C2×#2467C2semidirect
22. C2×#2460C2semidirect
23. C2×#2456C2semidirect
24. C2×#2456C2semidirect
25. C2×#2455C2semidirect
26. C2×#2443C2semidirect
27. C2×#2661C2semidirect
28. C2×#2635C2semidirect
29. C2×#2366C2semidirect
30. C2×#2361C2semidirect
31. C2×#2332C2semidirect
32. C2×C4×#120C2semidirect
36. C2×#539C22semidirect
39. C22×#126C22semidirect
40. C22×#125C22semidirect
41. C22×#125C22semidirect
43. C2×#525C22semidirect
50. C22×#123C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
72. C22×C4×D4C22semidirect
73. C22×C4×D4C22semidirect
74. C22×C4×D4C22semidirect
76. C23×C4⋊C4C22semidirect
77. #2849C22semidirect
78. #2732C22semidirect
79. #2728C22semidirect
80. #2711C22semidirect
81. #2685C22semidirect
82. #2678C22semidirect
83. #2678C22semidirect
84. #2673C22semidirect
85. #2669C22semidirect
86. #2661C22semidirect
87. #2635C22semidirect
88. #2558C22semidirect
89. #2554C22semidirect
90. #2475C22semidirect
91. #2471C22semidirect
92. #2468C22semidirect
93. #2467C22semidirect
94. #2460C22semidirect
95. #2457C22semidirect
96. #2456C22semidirect
97. #2456C22semidirect
98. #2455C22semidirect
99. #2443C22semidirect
100. #2407C22semidirect
101. #2407C22semidirect
102. C2×#400C22semidirect
103. C2×#400C22semidirect
105. C2×#399C22semidirect
106. C2×#399C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
112. C2×#397C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
139. C2×#392C22semidirect
140. C2×#392C22semidirect
141. C2×#392C22semidirect
142. #2366C22semidirect
143. #2361C22semidirect
144. #2332C22semidirect
145. C4×#120C22semidirect
146. C2×#391C22semidirect
147. C2×#391C22semidirect
154. C2×#390C22semidirect
155. C2×#390C22semidirect
156. C2×#390C22semidirect
157. C2×#389C22semidirect
158. C2×#389C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
180. C2×#387C22semidirect
181. C2×#387C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
214. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C4⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
267. C2×#126C23semidirect
270. C2×#125C23semidirect
271. C2×#125C23semidirect
286. C2×#123C23semidirect
290. C2×C22⋊Q8D4semidirect
293. C2×C22⋊Q8C23semidirect
294. C2×C22⋊Q8C23semidirect
332. C2×C4×D4C23semidirect
333. C2×C4×D4C23semidirect
334. C2×C4×D4C23semidirect
367. C22×C4⋊C4C23semidirect
432. #400C23semidirect
433. #400C23semidirect
435. #399C23semidirect
436. #399C23semidirect
437. #398C23semidirect
438. #398C23semidirect
439. #398C23semidirect
442. #397C23semidirect
446. #396C23semidirect
447. #396C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
469. #392C23semidirect
470. #392C23semidirect
471. #392C23semidirect
472. #391C23semidirect
473. #391C23semidirect
480. #390C23semidirect
481. #390C23semidirect
482. #390C23semidirect
483. #389C23semidirect
484. #389C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
504. #387C23semidirect
505. #387C23semidirect
506. #387C23semidirect
507. #387C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #386C23semidirect
530. #385C23semidirect
531. #385C23semidirect
532. #385C23semidirect
533. #385C23semidirect
536. #380C23semidirect
537. #380C23semidirect
540. C4×C4⋊C4C23semidirect
541. C4×C4⋊C4C23semidirect
542. C4×C4⋊C4C23semidirect
546. C4×C22⋊C4C23semidirect
653. C22×D4#41semidirect
763. C22⋊Q8C2×D4semidirect
1149. C2×D4C2×#41semidirect
1731. C2#37801direct (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×#27322
C2×#27282
C2×#27112
C2×#26852
C2×#26782
C2×#26732
C2×#26692
#378012
C2×#28492
C2×#25582
C2×#25542
C2×#24712
C2×#24752
C2×#24072
C2×#24572
C2×#24682
C2×#24672
C2×#24602
C2×#24562
C2×#24552
C2×#24432
C2×#26612
C2×#26352
C2×#23662
C2×#23612
C2×#23322
C2×C4×#1202