Finite Group Databasebeta

← C2×#41993 #7640476

Subgroups — C2×#41993 #7640476

Order 512.

7722 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#552C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3C2×#2723C211yesmaximal, characteristic, complemented
4C2×#2721C211yesmaximal, characteristic, complemented
5C2×#2698C211yesmaximal, characteristic, complemented
6C2×#2696C211yesmaximal, characteristic, complemented
7C2×#2694C211yesmaximal, characteristic, complemented
8C2×#2685C211yesmaximal, characteristic, complemented
9C2×#2680C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic
11#41993C2132yesmaximal, direct product factor
12C2×#2820C211yesmaximal, characteristic, complemented
13C2×#2814C211yesmaximal, characteristic, complemented
14C2×#2566C211yesmaximal, characteristic, complemented
15C2×#2609C211yesmaximal, characteristic, complemented
16C2×#2601C211yesmaximal, characteristic, complemented
17C2×#2534C211yesmaximal, characteristic, complemented
18C2×#2458C211yesmaximal, characteristic, complemented
19C2×#2465C211yesmaximal, characteristic, complemented
20C2×#2466C211yesmaximal, characteristic, complemented
21C2×#2480C211yesmaximal, characteristic, complemented
22C2×#2455C211yesmaximal, characteristic, complemented
23C2×#2449C211yesmaximal, characteristic, complemented
24C2×#2443C211yesmaximal, characteristic, complemented
25C2×#2418C211yesmaximal, characteristic, complemented
26C2×#2629C211yesmaximal, characteristic, complemented
27C2×#2620C211yesmaximal, characteristic, complemented
28C2×#2664C211yesmaximal, characteristic, complemented
29C2×#2630C211yesmaximal, characteristic, complemented
30C2×#2626C211yesmaximal, characteristic, complemented
31C2×#2392C211yesmaximal, characteristic, complemented
32C2×#2314C211yesmaximal, characteristic, complemented
33C2×#552—216no—
34C2×#552C22116yescomplemented
35C2×#551—216no—
36C2×#551C22116yescomplemented
37C22×#126C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic
41C22×#125C2211yescharacteristic, complemented
42C22×#125C2211yescharacteristic, complemented
43C22×#125C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic, complemented
56C22×#121C2211yescharacteristic
57C22×#120C2211yescharacteristic
58C22×#120C2211yescharacteristic
59C22×C4×Q8C2211yescharacteristic, complemented
60C22×C4×D4C2211yescharacteristic
61C22×C4×D4C2211yescharacteristic
62C22×C4×D4C2211yescharacteristic
63C22×C4×D4C2211yescharacteristic
64C22×C4×D4C2211yescharacteristic, complemented
65C22×#117C2211yescharacteristic
66C22×#117C2211yescharacteristic
67C22×#117C2211yescharacteristic, complemented
68C22×#117C2211yescharacteristic, complemented
69C23×C4⋊C4C2211yescharacteristic, complemented
70C23×C22⋊C4C2211yescharacteristic
71C23×C22⋊C4C2211yescharacteristic
72#2820C22116yescomplemented
73#2814C22116yescomplemented
74#2723C22116yescomplemented
75#2721C22116yescomplemented
76#2698C22116yescomplemented
77#2696C22116yescomplemented
78#2694C22116yescomplemented
79#2685C22116yescomplemented
80#2680C22116yescomplemented
81#2678C22116yes—
82#2664C22116yescomplemented
83#2630C22116yescomplemented
84#2629C22116yescomplemented
85#2626C22116yescomplemented
86#2620C22116yescomplemented
87#2609C22116yescomplemented
88#2601C22116yescomplemented
89#2566C22116yescomplemented
90#2534C22116yescomplemented
91#2480C22116yescomplemented
92#2466C22116yescomplemented
93#2465C22116yescomplemented
94#2458C22116yescomplemented
95#2455C22116yescomplemented
96#2449C22116yescomplemented
97#2443C22116yescomplemented
98#2418C22116yescomplemented
99C2×#400C2211yescharacteristic, complemented
100C2×#399C2211yescharacteristic
101C2×#399C2211yescharacteristic
102C2×#399C2211yescharacteristic
103C2×#399C2211yescharacteristic
104C2×#399C2211yescharacteristic, complemented
105#2392C22116yescomplemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic
115C2×#397C2211yescharacteristic
116C2×#397C2211yescharacteristic
117C2×#397C2211yescharacteristic
118C2×#397C2211yescharacteristic
119C2×#397C2211yescharacteristic, complemented
120C2×#397C2211yescharacteristic, complemented
121C2×#397C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic
126C2×#396C2211yescharacteristic
127C2×#396C2211yescharacteristic
128C2×#396C2211yescharacteristic
129C2×#396C2211yescharacteristic
130C2×#396C2211yescharacteristic
131C2×#396C2211yescharacteristic, complemented
132C2×#396C2211yescharacteristic, complemented
133C2×#396C2211yescharacteristic, complemented
134C2×#396C2211yescharacteristic, complemented
135C2×#396C2211yescharacteristic, complemented
136C2×#395C2211yescharacteristic, complemented
137C2×#395C2211yescharacteristic, complemented
138C2×#395C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic
145C2×#394C2211yescharacteristic
146C2×#394C2211yescharacteristic
147C2×#394C2211yescharacteristic
148C2×#394C2211yescharacteristic
149C2×#394C2211yescharacteristic, complemented
150C2×#394C2211yescharacteristic, complemented
151C2×#393C2211yescharacteristic
152C2×#393C2211yescharacteristic
153C2×#393C2211yescharacteristic, complemented
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156#2314C22116yescomplemented
157C2×#391C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#389C2211yescharacteristic, complemented
163C2×#389C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#389C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
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×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#387C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic, complemented
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×#384C2211yescharacteristic, complemented
206C2×#384C2211yescharacteristic, complemented
207C2×#382C2211yescharacteristic, complemented
208C2×#382C2211yescharacteristic, complemented
209C2×#381C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×C4×C4⋊C4C2211yescharacteristic, complemented
218C2×C4×C4⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239#552—2128no—
240#551—2128no—
241C2×#126—28no—
242C2×#126—28no—
243C2×#126—28no—
244C2×#126—28no—
245C2×#126C2318yes—
246C2×#126C2318yes—
247C2×#126C2318yes—
248C2×#126C2318yes—
249C2×#125—28no—
250C2×#125—28no—
251C2×#125—28no—
252C2×#125C2318yescomplemented
253C2×#125C2318yescomplemented
254C2×#125C2318yescomplemented
255C2×#124—28no—
256C2×#124C2318yes—
257C2×#123—28no—
258C2×#123—28no—
259C2×#123—28no—
260C2×#123—28no—
261C2×#123—28no—
262C2×#123—44no—
263C2×#123C2318yes—
264C2×#123C2318yes—
265C2×#123C2318yes—
266C2×#123C2318yes—
267C2×#123C2318yes—
268C2×#123C2318yes—
269C2×C22⋊Q8—28no—
270C2×C22⋊Q8—28no—
271C2×C22⋊Q8—28no—
272C2×C22⋊Q8—28no—
273C2×C22⋊Q8—44no—
274C2×C22⋊Q8C2318yes—
275C2×C22⋊Q8C2318yes—
276C2×C22⋊Q8C2318yes—
277C2×C22⋊Q8C2318yescomplemented
278C2×C22⋊Q8C2318yescomplemented
279C2×#121—44no—
280C2×#121C2318yes—
281C2×#120—28no—
282C2×#120—44no—
283C2×#120C2318yes—
284C2×#120C2318yes—
285C2×C4×Q8—28no—
286C2×C4×Q8C2318yescomplemented
287C2×C4×D4—28no—
288C2×C4×D4—28no—
289C2×C4×D4—28no—
290C2×C4×D4—44no—
291C2×C4×D4—44no—
292C2×C4×D4C2318yes—
293C2×C4×D4C2318yes—
294C2×C4×D4C2318yes—
295C2×C4×D4C2318yes—
296C2×C4×D4C2318yescomplemented
297C2×#117—28no—
298C2×#117—28no—
299C2×#117—28no—
300C2×#117D4116yescomplemented
301C2×#117C2318yes—
302C2×#117C2318yes—
303C2×#117C2318yescomplemented
304C2×#117C2318yescomplemented
305C22×C4⋊C4—28no—
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2318yescomplemented
350C22×C22⋊C4—28no—
351C22×C22⋊C4—28no—
352C22×C22⋊C4C2318yes—
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
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⋊C4C2318yes—
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×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414#400C2318yescomplemented
415#399C2318yes—
416#399C2318yes—
417#399C2318yes—
418#399C2318yes—
419#399C2318yescomplemented
420#398C2318yescomplemented
421#398C2318yescomplemented
422#398C2318yescomplemented
423#398C2318yescomplemented
424#398C2318yescomplemented
425#398C2318yescomplemented
426#398C2318yescomplemented
427#398C2318yescomplemented
428#397C2318yes—
429#397C2318yes—
430#397C2318yes—
431#397C2318yes—
432#397C2318yes—
433#397C2318yescomplemented
434#397C2318yescomplemented
435#397C2318yescomplemented
436#396C2318yes—
437#396C2318yes—
438#396C2318yes—
439#396C2318yes—
440#396C2318yes—
441#396C2318yes—
442#396C2318yes—
443#396C2318yes—
444#396C2318yes—
445#396C2318yescomplemented
446#396C2318yescomplemented
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#393C2318yes—
466#393C2318yes—
467#393C2318yescomplemented
468#392C2318yes—
469#392C2318yes—
470#391C2318yescomplemented
471#390C2318yes—
472#390C2318yes—
473#390C2318yes—
474#390C2318yes—
475#389C2318yescomplemented
476#389C2318yescomplemented
477#389C2318yescomplemented
478#389C2318yescomplemented
479#389C2318yescomplemented
480#388C2318yes—
481#388C2318yes—
482#388C2318yes—
483#388C2318yes—
484#388C2318yes—
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#387C2318yescomplemented
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#386C2318yescomplemented
508#385C2318yes—
509#385C2318yes—
510#385C2318yes—
511#385C2318yes—
512#385C2318yes—
513#385C2318yescomplemented
514#385C2318yescomplemented
515#385C2318yescomplemented
516#385C2318yescomplemented
517#385C2318yescomplemented
518#384C2318yescomplemented
519#384C2318yescomplemented
520#382C2318yescomplemented
521#382C2318yescomplemented
522#381C2318yes—
523#380C2318yes—
524#380C2318yes—
525#380C2318yes—
526#380C2318yes—
527#379C2318yes—
528#379C2318yes—
529#379C2318yes—
530C4×C4⋊C4C2318yescomplemented
531C4×C4⋊C4C2318yescomplemented
532C4×C22⋊C4C2318yes—
533C4×C22⋊C4C2318yescomplemented
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
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
568C25—24no—
569C25—24no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25—42no—
574C25—42no—
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2414yes—
581C22×Q8—24no—
582C22×Q8—24no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8—42no—
587C22×Q8C2414yes—
588C22×Q8C2414yes—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C23×C4—24no—
618C23×C4—24no—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—42no—
628C23×C4—42no—
629C23×C4—42no—
630C23×C4—42no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4C2×D418yes—
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2414yes—
662C23×C4C2414yes—
663C23×C4C2414yes—
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2414yes—
671C23×C4C2414yes—
672C23×C4C2414yes—
673C23×C4C2414yes—
674C23×C4C2414yes—
675#126—232no—
676#126—232no—
677#126—232no—
678#126—232no—
679#125—232no—
680#125—232no—
681#125—232no—
682#124—232no—
683#123—232no—
684#123—232no—
685#123—232no—
686#123—232no—
687#123—232no—
688#123—416no—
689C22⋊Q8—232no—
690C22⋊Q8—232no—
691C22⋊Q8—232no—
692C22⋊Q8—232no—
693C22⋊Q8—416no—
694#121—416no—
695#120—232no—
696#120—416no—
697C4×Q8—232no—
698C4×D4—232no—
699C4×D4—232no—
700C4×D4—232no—
701C4×D4—416no—
702C4×D4—416no—
703#117—232no—
704#117—232no—
705#117—232no—
706#117C2×D4164yescomplemented
707C2×C4⋊C4—24no—
708C2×C4⋊C4—24no—
709C2×C4⋊C4—24no—
710C2×C4⋊C4—24no—
711C2×C4⋊C4—24no—
712C2×C4⋊C4—24no—
713C2×C4⋊C4—24no—
714C2×C4⋊C4—24no—
715C2×C4⋊C4—24no—
716C2×C4⋊C4—24no—
717C2×C4⋊C4—24no—
718C2×C4⋊C4—24no—
719C2×C4⋊C4—24no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—24no—
726C2×C4⋊C4—24no—
727C2×C4⋊C4—232no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4C2×D418yes—
750C2×C4⋊C4C2×D418yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—232no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—232no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4C2×D418yes—
845C2×C22⋊C4C2×D418yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C42—24no—
897C2×C42—24no—
898C2×C42—24no—
899C2×C42—24no—
900C2×C42—42no—
901C2×C42—42no—
902C2×C42—42no—
903C2×C42—42no—
904C2×C42C2×D418yes—
905C2×C42C2×D418yes—
906C2×C42C2414yes—
907C2×C42C2414yes—
908C2×C42C2414yes—
909C2×C42C2414yes—
910C2×C42C2414yes—
911C2×C42C2414yes—
912C2×C42C2414yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—28no—
983C24—28no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—44no—
988C24—44no—
989C24—416no—
990C24—416no—
991C24—88no—
992C24—88no—
993C24—88no—
994C24—88no—
995C24—88no—
996C24C22×D414yes—
997C24H(5,𝔽2)14yes—
998C242−1+414yes—
999C24C2512yes—
1000C24C2512yes—
1001C24C2512yes—
1002C24C2512yes—
1003C24C2512yes—
1004C24C2511yescharacteristic
1005C2×Q8—28no—
1006C2×Q8—28no—
1007C2×Q8—44no—
1008C2×Q8—44no—
1009C2×Q8—44no—
1010C2×Q8—44no—
1011C2×Q8—416no—
1012C2×Q8—88no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—44no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—416no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—416no—
1036C2×D4—416no—
1037C2×D4—416no—
1038C2×D4—416no—
1039C2×D4—88no—
1040C2×D4—88no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—28no—
1078C22×C4—28no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—28no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—28no—
1117C22×C4—28no—
1118C22×C4—28no—
1119C22×C4—28no—
1120C22×C4—28no—
1121C22×C4—28no—
1122C22×C4—28no—
1123C22×C4—416no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—44no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—416no—
1138C22×C4—416no—
1139C22×C4—416no—
1140C22×C4—416no—
1141C22×C4—88no—
1142C22×C4—88no—
1143C22×C4—88no—
1144C22×C4C22×D414yes—
1145C22×C4C22×D414yes—
1146C22×C4C22×D414yes—
1147C22×C4C22×D414yes—
1148C22×C4C22×D414yes—
1149C22×C4C22×D414yes—
1150C22×C4C22×D4116yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C4⋊C4—28no—
1178C4⋊C4—28no—
1179C4⋊C4—28no—
1180C4⋊C4—28no—
1181C4⋊C4—28no—
1182C4⋊C4—28no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—28no—
1186C4⋊C4—28no—
1187C4⋊C4—28no—
1188C4⋊C4—28no—
1189C4⋊C4—28no—
1190C4⋊C4—28no—
1191C4⋊C4—28no—
1192C4⋊C4—28no—
1193C4⋊C4—28no—
1194C4⋊C4—28no—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C4⋊C4—44no—
1201C4⋊C4—44no—
1202C4⋊C4—44no—
1203C4⋊C4—44no—
1204C4⋊C4—44no—
1205C4⋊C4—44no—
1206C4⋊C4—44no—
1207C4⋊C4—44no—
1208C4⋊C4—44no—
1209C4⋊C4—44no—
1210C4⋊C4—44no—
1211C4⋊C4—44no—
1212C4⋊C4—44no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4C22×D4116yes—
1219C4⋊C4C22×D4116yes—
1220C22⋊C4—28no—
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—28no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4—44no—
1246C22⋊C4—44no—
1247C22⋊C4—44no—
1248C22⋊C4—44no—
1249C22⋊C4—44no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4C22×D4116yes—
1269C22⋊C4C22×D4116yes—
1270C42—28no—
1271C42—28no—
1272C42—28no—
1273C42—28no—
1274C42—44no—
1275C42—44no—
1276C42—44no—
1277C42—44no—
1278C42C22×D4116yes—
1279C42C22×D4116yes—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—28no—
1299C23—28no—
1300C23—28no—
1301C23—28no—
1302C23—28no—
1303C23—28no—
1304C23—28no—
1305C23—28no—
1306C23—28no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—416no—
1322C23—416no—
1323C23—44no—
1324C23—44no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23—44no—
1330C23—44no—
1331C23—44no—
1332C23—44no—
1333C23—44no—
1334C23—44no—
1335C23—44no—
1336C23—44no—
1337C23—44no—
1338C23—44no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—44no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—88no—
1350C23—88no—
1351C23—88no—
1352C23—88no—
1353C23—88no—
1354C23—864no—
1355C23C23×D414yes—
1356C23C23×D412yes—
1357C23C2×H(5,𝔽2)14yes—
1358C23C2×H(5,𝔽2)12yes—
1359C23C2×2−1+414yes—
1360C23C2×2−1+412yes—
1361C23#58512yes—
1362C23#58512yes—
1363C23#58512yes—
1364C23#58512yes—
1365C23C2611yescharacteristic
1366Q8—416no—
1367Q8—88no—
1368D4—416no—
1369D4—416no—
1370D4—416no—
1371D4—416no—
1372D4—416no—
1373D4—88no—
1374D4—88no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—28no—
1388C2×C4—28no—
1389C2×C4—28no—
1390C2×C4—28no—
1391C2×C4—28no—
1392C2×C4—28no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—416no—
1454C2×C4—416no—
1455C2×C4—416no—
1456C2×C4—416no—
1457C2×C4—416no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—88no—
1479C2×C4—88no—
1480C2×C4—88no—
1481C2×C4C23×D414yes—
1482C2×C4C23×D414yes—
1483C2×C4C23×D414yes—
1484C2×C4C23×D414yes—
1485C2×C4C23×D414yes—
1486C2×C4C23×D414yes—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—24no—
1496C22—42no—
1497C22—42no—
1498C22—42no—
1499C22—416no—
1500C22—416no—
1501C22—416no—
1502C22—42no—
1503C22—42no—
1504C22—42no—
1505C22—42no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—832no—
1526C22—88no—
1527C22—88no—
1528C22#344914yes—
1529C22#348814yes—
1530C22#348914yes—
1531C22#353314yes—
1532C22#353514yes—
1533C22#356414yes—
1534C22#356614yes—
1535C22C24×D411yescharacteristic
1536C22C22×H(5,𝔽2)11yescharacteristic
1537C22C22×2−1+411yescharacteristic
1538C22C2×#58511yescharacteristic
1539C22C2×#58511yescharacteristic
1540C22C2×#58511yescharacteristic
1541C22C2×#58511yescharacteristic
1542C4—24no—
1543C4—24no—
1544C4—24no—
1545C4—24no—
1546C4—24no—
1547C4—24no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C2—44no—
1569C2—44no—
1570C2—44no—
1571C2—82no—
1572C2—82no—
1573C2#4199318yesdirect product factor
1574C2C2×#344911yescharacteristic
1575C2C2×#353511yescharacteristic
1576C2C2×#353311yescharacteristic
1577C2C2×#356411yescharacteristic
1578C2C2×#356611yescharacteristic
1579C2C2×#348811yescharacteristic
1580C2C2×#348911yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2678C2
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×#552C2semidirect
2. C22×#551C2semidirect
3. C2×#2723C2semidirect
4. C2×#2721C2semidirect
5. C2×#2698C2semidirect
6. C2×#2696C2semidirect
7. C2×#2694C2semidirect
8. C2×#2685C2semidirect
9. C2×#2680C2semidirect
11. #41993C2direct (N × H)
12. C2×#2820C2semidirect
13. C2×#2814C2semidirect
14. C2×#2566C2semidirect
15. C2×#2609C2semidirect
16. C2×#2601C2semidirect
17. C2×#2534C2semidirect
18. C2×#2458C2semidirect
19. C2×#2465C2semidirect
20. C2×#2466C2semidirect
21. C2×#2480C2semidirect
22. C2×#2455C2semidirect
23. C2×#2449C2semidirect
24. C2×#2443C2semidirect
25. C2×#2418C2semidirect
26. C2×#2629C2semidirect
27. C2×#2620C2semidirect
28. C2×#2664C2semidirect
29. C2×#2630C2semidirect
30. C2×#2626C2semidirect
31. C2×#2392C2semidirect
32. C2×#2314C2semidirect
34. C2×#552C22semidirect
36. C2×#551C22semidirect
41. C22×#125C22semidirect
42. C22×#125C22semidirect
43. C22×#125C22semidirect
54. C22×C22⋊Q8C22semidirect
55. C22×C22⋊Q8C22semidirect
59. C22×C4×Q8C22semidirect
64. C22×C4×D4C22semidirect
67. C22×#117C22semidirect
68. C22×#117C22semidirect
69. C23×C4⋊C4C22semidirect
72. #2820C22semidirect
73. #2814C22semidirect
74. #2723C22semidirect
75. #2721C22semidirect
76. #2698C22semidirect
77. #2696C22semidirect
78. #2694C22semidirect
79. #2685C22semidirect
80. #2680C22semidirect
82. #2664C22semidirect
83. #2630C22semidirect
84. #2629C22semidirect
85. #2626C22semidirect
86. #2620C22semidirect
87. #2609C22semidirect
88. #2601C22semidirect
89. #2566C22semidirect
90. #2534C22semidirect
91. #2480C22semidirect
92. #2466C22semidirect
93. #2465C22semidirect
94. #2458C22semidirect
95. #2455C22semidirect
96. #2449C22semidirect
97. #2443C22semidirect
98. #2418C22semidirect
99. C2×#400C22semidirect
104. C2×#399C22semidirect
105. #2392C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
119. C2×#397C22semidirect
120. C2×#397C22semidirect
121. C2×#397C22semidirect
131. C2×#396C22semidirect
132. C2×#396C22semidirect
133. C2×#396C22semidirect
134. C2×#396C22semidirect
135. C2×#396C22semidirect
136. C2×#395C22semidirect
137. C2×#395C22semidirect
138. C2×#395C22semidirect
149. C2×#394C22semidirect
150. C2×#394C22semidirect
153. C2×#393C22semidirect
156. #2314C22semidirect
157. C2×#391C22semidirect
162. C2×#389C22semidirect
163. C2×#389C22semidirect
164. C2×#389C22semidirect
165. C2×#389C22semidirect
166. C2×#389C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#387C22semidirect
182. C2×#387C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
188. C2×#387C22semidirect
194. C2×#386C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#384C22semidirect
206. C2×#384C22semidirect
207. C2×#382C22semidirect
208. C2×#382C22semidirect
217. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C4⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
252. C2×#125C23semidirect
253. C2×#125C23semidirect
254. C2×#125C23semidirect
277. C2×C22⋊Q8C23semidirect
278. C2×C22⋊Q8C23semidirect
286. C2×C4×Q8C23semidirect
296. C2×C4×D4C23semidirect
300. C2×#117D4semidirect
303. C2×#117C23semidirect
304. C2×#117C23semidirect
349. C22×C4⋊C4C23semidirect
414. #400C23semidirect
419. #399C23semidirect
420. #398C23semidirect
421. #398C23semidirect
422. #398C23semidirect
423. #398C23semidirect
424. #398C23semidirect
425. #398C23semidirect
426. #398C23semidirect
427. #398C23semidirect
433. #397C23semidirect
434. #397C23semidirect
435. #397C23semidirect
445. #396C23semidirect
446. #396C23semidirect
447. #396C23semidirect
448. #396C23semidirect
449. #396C23semidirect
450. #395C23semidirect
451. #395C23semidirect
452. #395C23semidirect
463. #394C23semidirect
464. #394C23semidirect
467. #393C23semidirect
470. #391C23semidirect
475. #389C23semidirect
476. #389C23semidirect
477. #389C23semidirect
478. #389C23semidirect
479. #389C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
507. #386C23semidirect
513. #385C23semidirect
514. #385C23semidirect
515. #385C23semidirect
516. #385C23semidirect
517. #385C23semidirect
518. #384C23semidirect
519. #384C23semidirect
520. #382C23semidirect
521. #382C23semidirect
530. C4×C4⋊C4C23semidirect
531. C4×C4⋊C4C23semidirect
533. C4×C22⋊C4C23semidirect
706. #117C2×D4semidirect
1573. C2#41993direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5522
C22×#5512
C2×#27232
C2×#27212
C2×#26982
C2×#26962
C2×#26942
C2×#26852
C2×#26802
C2×#26782
#419932
C2×#28202
C2×#28142
C2×#25662
C2×#26092
C2×#26012
C2×#25342
C2×#24582
C2×#24652
C2×#24662
C2×#24802
C2×#24552
C2×#24492
C2×#24432
C2×#24182
C2×#26292
C2×#26202
C2×#26642
C2×#26302
C2×#26262
C2×#23922
C2×#23142