Finite Group Databasebeta

← C2×#48218 #7703613

Subgroups — C2×#48218 #7703613

Order 512.

6956 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2804C211yesmaximal, characteristic, complemented
2C2×#2749C211yesmaximal, characteristic, complemented
3C2×#2738C211yesmaximal, characteristic, complemented
4C2×#2732C211yesmaximal, characteristic, complemented
5C2×#2730C211yesmaximal, characteristic, complemented
6C2×#2712C211yesmaximal, characteristic, complemented
7C2×#2710C211yesmaximal, characteristic, complemented
8C2×#2696C211yesmaximal, characteristic, complemented
9C2×#2691C211yesmaximal, characteristic, complemented
10C2×#2687C211yesmaximal, characteristic, complemented
11C2×#2676C211yesmaximal, characteristic, complemented
12C2×#2670C211yesmaximal, characteristic, complemented
13#48218C2132yesmaximal, direct product factor
14C2×#2607C211yesmaximal, characteristic, complemented
15C2×#2560C211yesmaximal, characteristic, complemented
16C2×#2557C211yesmaximal, characteristic, complemented
17C2×#2554C211yesmaximal, characteristic, complemented
18C2×#2539C211yesmaximal, characteristic, complemented
19C2×#2492C211yesmaximal, characteristic, complemented
20C2×#2404C211yesmaximal, characteristic, complemented
21C2×#2432C211yesmaximal, characteristic, complemented
22C2×#2407C211yesmaximal, characteristic, complemented
23C2×#2447C211yesmaximal, characteristic, complemented
24C2×#2452C211yesmaximal, characteristic, complemented
25C2×#2472C211yesmaximal, characteristic, complemented
26C2×#2412C211yesmaximal, characteristic, complemented
27C2×#2437C211yesmaximal, characteristic, complemented
28C2×#2649C211yesmaximal, characteristic, complemented
29C2×#2635C211yesmaximal, characteristic, complemented
30C2×#2376C211yesmaximal, characteristic, complemented
31C2×#2358C211yesmaximal, characteristic, complemented
32C2×#2337C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C22×C4⋊Q8C2211yescharacteristic, complemented
35C22×#126C2211yescharacteristic, complemented
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic
39C22×#124C2211yescharacteristic, complemented
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic
42C22×#123C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C22×C22⋊Q8C2211yescharacteristic
46C22×C22⋊Q8C2211yescharacteristic, complemented
47C22×C22⋊Q8C2211yescharacteristic, complemented
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic, complemented
50C22×#120C2211yescharacteristic
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×C4×D4C2211yescharacteristic
54C22×C4×D4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58#2804C22116yescomplemented
59#2749C22116yescomplemented
60#2738C22116yescomplemented
61#2732C22116yescomplemented
62#2730C22116yescomplemented
63#2712C22116yescomplemented
64#2710C22116yescomplemented
65#2696C22116yescomplemented
66#2691C22116yescomplemented
67#2687C22116yescomplemented
68#2676C22116yescomplemented
69#2670C22116yescomplemented
70#2649C22116yescomplemented
71#2635C22116yescomplemented
72#2607C22116yescomplemented
73#2560C22116yescomplemented
74#2557C22116yescomplemented
75#2554C22116yescomplemented
76#2539C22116yescomplemented
77#2492C22116yescomplemented
78#2472C22116yescomplemented
79#2452C22116yescomplemented
80#2447C22116yescomplemented
81#2437C22116yescomplemented
82#2432C22116yescomplemented
83#2412C22116yescomplemented
84#2407C22116yescomplemented
85#2404C22116yescomplemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#399C2211yescharacteristic
91C2×#399C2211yescharacteristic
92C2×#399C2211yescharacteristic
93C2×#399C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic
98C2×#397C2211yescharacteristic
99C2×#397C2211yescharacteristic
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic
105C2×#396C2211yescharacteristic
106C2×#396C2211yescharacteristic, complemented
107C2×#396C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic
111C2×#394C2211yescharacteristic
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#393C2211yescharacteristic
120C2×#393C2211yescharacteristic
121C2×#393C2211yescharacteristic
122C2×#393C2211yescharacteristic
123C2×#393C2211yescharacteristic
124C2×#393C2211yescharacteristic, complemented
125C2×#393C2211yescharacteristic, complemented
126C2×#393C2211yescharacteristic, complemented
127C2×#392C2211yescharacteristic
128C2×#392C2211yescharacteristic
129C2×#392C2211yescharacteristic
130C2×#392C2211yescharacteristic
131C2×#392C2211yescharacteristic
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic
134#2376C22116yescomplemented
135#2358C22116yescomplemented
136#2337C22116yescomplemented
137C2×#391C2211yescharacteristic, complemented
138C2×#391C2211yescharacteristic, complemented
139C2×#391C2211yescharacteristic, complemented
140C2×#391C2211yescharacteristic, complemented
141C2×#391C2211yescharacteristic, complemented
142C2×#391C2211yescharacteristic, complemented
143C2×#391C2211yescharacteristic, complemented
144C2×#391C2211yescharacteristic, complemented
145C2×#390C2211yescharacteristic
146C2×#390C2211yescharacteristic
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic
149C2×#390C2211yescharacteristic
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#383C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic
205C2×#381C2211yescharacteristic
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C22×#41—44no—
221C22×#41—44no—
222C22×#41—44no—
223C22×#41C2318yes—
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
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×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C2×C4⋊Q8—44no—
250C2×C4⋊Q8C2318yescomplemented
251C2×#126—44no—
252C2×#126C2318yescomplemented
253C2×#124—28no—
254C2×#124—44no—
255C2×#124—44no—
256C2×#124—44no—
257C2×#124C2318yes—
258C2×#124C2318yes—
259C2×#124C2318yes—
260C2×#124C2318yescomplemented
261C2×#123—28no—
262C2×#123—44no—
263C2×#123—44no—
264C2×#123C2318yes—
265C2×#123C2318yes—
266C2×#123C2318yes—
267C2×C22⋊Q8—44no—
268C2×C22⋊Q8—44no—
269C2×C22⋊Q8—44no—
270C2×C22⋊Q8—44no—
271C2×C22⋊Q8—44no—
272C2×C22⋊Q8C2318yes—
273C2×C22⋊Q8C2318yes—
274C2×C22⋊Q8C2318yes—
275C2×C22⋊Q8C2318yescomplemented
276C2×C22⋊Q8C2318yescomplemented
277C2×#121—44no—
278C2×#121—44no—
279C2×#121C2318yes—
280C2×#121C2318yescomplemented
281C2×#120—28no—
282C2×#120—44no—
283C2×#120—44no—
284C2×#120C2318yes—
285C2×#120C2318yes—
286C2×#120C2318yes—
287C2×C4×D4—44no—
288C2×C4×D4—44no—
289C2×C4×D4C2318yes—
290C2×C4×D4C2318yes—
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
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×C22⋊C4—44no—
318C22×C22⋊C4—44no—
319C22×C22⋊C4—44no—
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2318yes—
342C22×C22⋊C4C2318yes—
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
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⋊C4C2318yes—
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386#400C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#400C2318yescomplemented
390#399C2318yes—
391#399C2318yes—
392#399C2318yes—
393#399C2318yescomplemented
394#398C2318yescomplemented
395#398C2318yescomplemented
396#398C2318yescomplemented
397#397C2318yes—
398#397C2318yes—
399#397C2318yes—
400#397C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#396C2318yes—
405#396C2318yes—
406#396C2318yescomplemented
407#396C2318yescomplemented
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yes—
413#394C2318yes—
414#394C2318yescomplemented
415#394C2318yescomplemented
416#394C2318yescomplemented
417#394C2318yescomplemented
418#394C2318yescomplemented
419#393C2318yes—
420#393C2318yes—
421#393C2318yes—
422#393C2318yes—
423#393C2318yes—
424#393C2318yescomplemented
425#393C2318yescomplemented
426#393C2318yescomplemented
427#392C2318yes—
428#392C2318yes—
429#392C2318yes—
430#392C2318yes—
431#392C2318yes—
432#392C2318yes—
433#392C2318yes—
434#391C2318yescomplemented
435#391C2318yescomplemented
436#391C2318yescomplemented
437#391C2318yescomplemented
438#391C2318yescomplemented
439#391C2318yescomplemented
440#391C2318yescomplemented
441#391C2318yescomplemented
442#390C2318yes—
443#390C2318yes—
444#390C2318yes—
445#390C2318yes—
446#390C2318yes—
447#390C2318yes—
448#390C2318yes—
449#390C2318yes—
450#390C2318yescomplemented
451#389C2318yescomplemented
452#389C2318yescomplemented
453#389C2318yescomplemented
454#388C2318yes—
455#388C2318yes—
456#388C2318yes—
457#388C2318yes—
458#388C2318yes—
459#388C2318yes—
460#388C2318yescomplemented
461#388C2318yescomplemented
462#388C2318yescomplemented
463#388C2318yescomplemented
464#388C2318yescomplemented
465#388C2318yescomplemented
466#388C2318yescomplemented
467#387C2318yescomplemented
468#387C2318yescomplemented
469#387C2318yescomplemented
470#387C2318yescomplemented
471#387C2318yescomplemented
472#386C2318yes—
473#386C2318yes—
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yes—
479#386C2318yes—
480#386C2318yes—
481#386C2318yes—
482#386C2318yes—
483#386C2318yes—
484#386C2318yes—
485#386C2318yes—
486#386C2318yescomplemented
487#386C2318yescomplemented
488#385C2318yes—
489#385C2318yes—
490#385C2318yes—
491#385C2318yes—
492#385C2318yes—
493#385C2318yes—
494#385C2318yes—
495#385C2318yescomplemented
496#385C2318yescomplemented
497#385C2318yescomplemented
498#385C2318yescomplemented
499#385C2318yescomplemented
500#383C2318yescomplemented
501#381C2318yes—
502#381C2318yes—
503#381C2318yescomplemented
504#380C2318yes—
505#380C2318yes—
506#380C2318yes—
507#380C2318yes—
508#379C2318yes—
509C4×C4⋊C4C2318yescomplemented
510C4×C4⋊C4C2318yescomplemented
511C4×C22⋊C4C2318yes—
512C4×C22⋊C4C2318yes—
513C4×C22⋊C4C2318yes—
514C4×C22⋊C4C2318yes—
515C4×C22⋊C4C2318yescomplemented
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
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
556C25—24no—
557C25—24no—
558C25—24no—
559C25—42no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2414yes—
570C2×#41—416no—
571C2×#41—416no—
572C2×#41—416no—
573C2×#41—464no—
574C22×Q8—24no—
575C22×Q8—24no—
576C22×Q8—24no—
577C22×Q8—24no—
578C22×Q8—24no—
579C22×Q8—42no—
580C22×Q8—42no—
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8C2414yes—
587C22×Q8C2414yes—
588C22×Q8C2414yes—
589C22×Q8C2414yes—
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—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4C2414yes—
627C22×D4C2414yes—
628C22×D4C2414yes—
629C22×D4C2414yes—
630C22×D4C2414yes—
631C22×D4C2414yes—
632C22×D4C2414yes—
633C22×D4C2414yes—
634C22×D4C2414yes—
635C22×D4C2414yes—
636C22×D4C2414yes—
637C22×D4C2414yes—
638C23×C4—24no—
639C23×C4—24no—
640C23×C4—24no—
641C23×C4—24no—
642C23×C4—24no—
643C23×C4—24no—
644C23×C4—24no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2414yes—
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2414yes—
692C23×C4C2414yes—
693C23×C4C2414yes—
694C23×C4C2414yes—
695C23×C4C2414yes—
696C23×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C4⋊Q8—416no—
700#126—416no—
701#124—232no—
702#124—416no—
703#124—416no—
704#124—416no—
705#123—232no—
706#123—416no—
707#123—416no—
708C22⋊Q8—416no—
709C22⋊Q8—416no—
710C22⋊Q8—416no—
711C22⋊Q8—416no—
712C22⋊Q8—416no—
713#121—416no—
714#121—416no—
715#120—232no—
716#120—416no—
717#120—416no—
718C4×D4—416no—
719C4×D4—416no—
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—24no—
728C2×C4⋊C4—24no—
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⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
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×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—24no—
784C2×C22⋊C4—24no—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—416no—
794C2×C22⋊C4—416no—
795C2×C22⋊C4—416no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
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#4118yescomplemented
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
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×C42—24no—
884C2×C42—42no—
885C2×C42—42no—
886C2×C42—42no—
887C2×C42—42no—
888C2×C42—42no—
889C2×C42—42no—
890C2×C42—42no—
891C2×C42—42no—
892C2×C42C2414yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
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—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
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—28no—
981C24—28no—
982C24—28no—
983C24—44no—
984C24—44no—
985C24—44no—
986C24—44no—
987C24—416no—
988C24—416no—
989C24—416no—
990C24—88no—
991C24—88no—
992C24—88no—
993C24—88no—
994C24C2×#4114yes—
995C24H(5,𝔽2)14yes—
996C242−1+414yes—
997C24C2512yes—
998C24C2512yes—
999C24C2512yes—
1000C24C2512yes—
1001C24C2512yes—
1002C24C2512yes—
1003C24C2511yescharacteristic
1004#41—4128no—
1005C2×Q8—28no—
1006C2×Q8—28no—
1007C2×Q8—28no—
1008C2×Q8—28no—
1009C2×Q8—28no—
1010C2×Q8—44no—
1011C2×Q8—44no—
1012C2×Q8—44no—
1013C2×Q8—44no—
1014C2×Q8—44no—
1015C2×Q8—44no—
1016C2×Q8—44no—
1017C2×Q8—416no—
1018C2×Q8—88no—
1019C2×Q8—88no—
1020C2×Q8—88no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—28no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—416no—
1042C2×D4—416no—
1043C2×D4—416no—
1044C2×D4—416no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—416no—
1062C2×D4—88no—
1063C2×D4—88no—
1064C2×D4—88no—
1065C2×D4—88no—
1066C2×D4—88no—
1067C2×D4—88no—
1068C2×D4—88no—
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—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
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—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—28no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
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—28no—
1141C22×C4—28no—
1142C22×C4—28no—
1143C22×C4—28no—
1144C22×C4—28no—
1145C22×C4—28no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—416no—
1167C22×C4—416no—
1168C22×C4—416no—
1169C22×C4—88no—
1170C22×C4—88no—
1171C22×C4—88no—
1172C22×C4—88no—
1173C22×C4—88no—
1174C22×C4—88no—
1175C22×C4C2×#4114yes—
1176C22×C4C2×#4114yes—
1177C22×C4H(5,𝔽2)14yes—
1178C22×C4H(5,𝔽2)14yes—
1179C22×C4H(5,𝔽2)14yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
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—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
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⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4C2×#41116yescomplemented
1285C42—28no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C42—44no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—28no—
1313C23—28no—
1314C23—28no—
1315C23—28no—
1316C23—28no—
1317C23—28no—
1318C23—28no—
1319C23—28no—
1320C23—28no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—416no—
1343C23—416no—
1344C23—416no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—88no—
1379C23—88no—
1380C23—88no—
1381C23—88no—
1382C23—864no—
1383C23C22×#4114yes—
1384C23C22×#4112yes—
1385C23C2×H(5,𝔽2)14yes—
1386C23C2×H(5,𝔽2)12yes—
1387C23C2×H(5,𝔽2)12yes—
1388C23C2×H(5,𝔽2)12yes—
1389C23C2×H(5,𝔽2)12yes—
1390C23C2×2−1+414yes—
1391C23C2×2−1+412yes—
1392C23#58512yes—
1393C23C2611yescharacteristic
1394Q8—416no—
1395Q8—88no—
1396Q8—88no—
1397Q8—88no—
1398D4—416no—
1399D4—416no—
1400D4—416no—
1401D4—416no—
1402D4—416no—
1403D4—88no—
1404D4—88no—
1405D4—88no—
1406D4—88no—
1407D4—88no—
1408D4—88no—
1409D4—88no—
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—28no—
1421C2×C4—28no—
1422C2×C4—28no—
1423C2×C4—28no—
1424C2×C4—28no—
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—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
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—416no—
1486C2×C4—416no—
1487C2×C4—416no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—88no—
1509C2×C4—88no—
1510C2×C4—88no—
1511C2×C4—88no—
1512C2×C4—88no—
1513C2×C4—88no—
1514C2×C4C22×#4114yes—
1515C2×C4C22×#4114yes—
1516C2×C4C2×H(5,𝔽2)14yes—
1517C2×C4C2×H(5,𝔽2)14yes—
1518C2×C4C2×H(5,𝔽2)14yes—
1519C22—24no—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—24no—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—416no—
1539C22—416no—
1540C22—416no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—832no—
1565C22—88no—
1566C22—88no—
1567C22—88no—
1568C22#350814yes—
1569C22#351314yes—
1570C22#352014yes—
1571C22#353214yes—
1572C22#353614yes—
1573C22#355814yes—
1574C22#356114yes—
1575C22C23×#4111yescharacteristic
1576C22C22×H(5,𝔽2)11yescharacteristic
1577C22C22×H(5,𝔽2)11yescharacteristic
1578C22C22×H(5,𝔽2)11yescharacteristic
1579C22C22×H(5,𝔽2)11yescharacteristic
1580C22C22×2−1+411yescharacteristic
1581C22C2×#58511yescharacteristic
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—24no—
1586C4—24no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C2—44no—
1608C2—44no—
1609C2—44no—
1610C2—82no—
1611C2—82no—
1612C2—82no—
1613C2#4821818yesdirect product factor
1614C2C2×#353211yescharacteristic
1615C2C2×#353611yescharacteristic
1616C2C2×#355811yescharacteristic
1617C2C2×#356111yescharacteristic
1618C2C2×#351311yescharacteristic
1619C2C2×#352011yescharacteristic
1620C2C2×#350811yescharacteristic
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. C2×#2804C2semidirect
2. C2×#2749C2semidirect
3. C2×#2738C2semidirect
4. C2×#2732C2semidirect
5. C2×#2730C2semidirect
6. C2×#2712C2semidirect
7. C2×#2710C2semidirect
8. C2×#2696C2semidirect
9. C2×#2691C2semidirect
10. C2×#2687C2semidirect
11. C2×#2676C2semidirect
12. C2×#2670C2semidirect
13. #48218C2direct (N × H)
14. C2×#2607C2semidirect
15. C2×#2560C2semidirect
16. C2×#2557C2semidirect
17. C2×#2554C2semidirect
18. C2×#2539C2semidirect
19. C2×#2492C2semidirect
20. C2×#2404C2semidirect
21. C2×#2432C2semidirect
22. C2×#2407C2semidirect
23. C2×#2447C2semidirect
24. C2×#2452C2semidirect
25. C2×#2472C2semidirect
26. C2×#2412C2semidirect
27. C2×#2437C2semidirect
28. C2×#2649C2semidirect
29. C2×#2635C2semidirect
30. C2×#2376C2semidirect
31. C2×#2358C2semidirect
32. C2×#2337C2semidirect
34. C22×C4⋊Q8C22semidirect
35. C22×#126C22semidirect
39. C22×#124C22semidirect
46. C22×C22⋊Q8C22semidirect
47. C22×C22⋊Q8C22semidirect
49. C22×#121C22semidirect
58. #2804C22semidirect
59. #2749C22semidirect
60. #2738C22semidirect
61. #2732C22semidirect
62. #2730C22semidirect
63. #2712C22semidirect
64. #2710C22semidirect
65. #2696C22semidirect
66. #2691C22semidirect
67. #2687C22semidirect
68. #2676C22semidirect
69. #2670C22semidirect
70. #2649C22semidirect
71. #2635C22semidirect
72. #2607C22semidirect
73. #2560C22semidirect
74. #2557C22semidirect
75. #2554C22semidirect
76. #2539C22semidirect
77. #2492C22semidirect
78. #2472C22semidirect
79. #2452C22semidirect
80. #2447C22semidirect
81. #2437C22semidirect
82. #2432C22semidirect
83. #2412C22semidirect
84. #2407C22semidirect
85. #2404C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
93. C2×#399C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
106. C2×#396C22semidirect
107. C2×#396C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
124. C2×#393C22semidirect
125. C2×#393C22semidirect
126. C2×#393C22semidirect
134. #2376C22semidirect
135. #2358C22semidirect
136. #2337C22semidirect
137. C2×#391C22semidirect
138. C2×#391C22semidirect
139. C2×#391C22semidirect
140. C2×#391C22semidirect
141. C2×#391C22semidirect
142. C2×#391C22semidirect
143. C2×#391C22semidirect
144. C2×#391C22semidirect
153. C2×#390C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#383C22semidirect
206. C2×#381C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
250. C2×C4⋊Q8C23semidirect
252. C2×#126C23semidirect
260. C2×#124C23semidirect
275. C2×C22⋊Q8C23semidirect
276. C2×C22⋊Q8C23semidirect
280. C2×#121C23semidirect
386. #400C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #400C23semidirect
393. #399C23semidirect
394. #398C23semidirect
395. #398C23semidirect
396. #398C23semidirect
400. #397C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
406. #396C23semidirect
407. #396C23semidirect
414. #394C23semidirect
415. #394C23semidirect
416. #394C23semidirect
417. #394C23semidirect
418. #394C23semidirect
424. #393C23semidirect
425. #393C23semidirect
426. #393C23semidirect
434. #391C23semidirect
435. #391C23semidirect
436. #391C23semidirect
437. #391C23semidirect
438. #391C23semidirect
439. #391C23semidirect
440. #391C23semidirect
441. #391C23semidirect
450. #390C23semidirect
451. #389C23semidirect
452. #389C23semidirect
453. #389C23semidirect
460. #388C23semidirect
461. #388C23semidirect
462. #388C23semidirect
463. #388C23semidirect
464. #388C23semidirect
465. #388C23semidirect
466. #388C23semidirect
467. #387C23semidirect
468. #387C23semidirect
469. #387C23semidirect
470. #387C23semidirect
471. #387C23semidirect
486. #386C23semidirect
487. #386C23semidirect
495. #385C23semidirect
496. #385C23semidirect
497. #385C23semidirect
498. #385C23semidirect
499. #385C23semidirect
500. #383C23semidirect
503. #381C23semidirect
509. C4×C4⋊C4C23semidirect
510. C4×C4⋊C4C23semidirect
515. C4×C22⋊C4C23semidirect
828. C2×C22⋊C4#41semidirect
1284. C22⋊C4C2×#41semidirect
1613. C2#48218direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28042
C2×#27492
C2×#27382
C2×#27322
C2×#27302
C2×#27122
C2×#27102
C2×#26962
C2×#26912
C2×#26872
C2×#26762
C2×#26702
#482182
C2×#26072
C2×#25602
C2×#25572
C2×#25542
C2×#25392
C2×#24922
C2×#24042
C2×#24322
C2×#24072
C2×#24472
C2×#24522
C2×#24722
C2×#24122
C2×#24372
C2×#26492
C2×#26352
C2×#23762
C2×#23582
C2×#23372