Finite Group Databasebeta

← C2×#49565 #7705113

Subgroups — C2×#49565 #7705113

Order 512.

8844 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#562C211yesmaximal, characteristic, complemented
2C22×#537C211yesmaximal, characteristic, complemented
3C2×#2704C211yesmaximal, characteristic, complemented
4C2×#2701C211yesmaximal, characteristic, complemented
5C2×#2701C211yesmaximal, characteristic, complemented
6C2×#2700C211yesmaximal, characteristic, complemented
7C2×#2686C211yesmaximal, characteristic, complemented
8C2×#2683C211yesmaximal, characteristic, complemented
9C2×#2682C211yesmaximal, characteristic, complemented
10C2×#2682C211yesmaximal, characteristic, complemented
11C2×#2681C211yesmaximal, characteristic, complemented
12C2×#2680C211yesmaximal, characteristic, complemented
13C2×#2672C211yesmaximal, characteristic, complemented
14C2×#2671C211yesmaximal, characteristic, complemented
15#49565C2132yesmaximal, direct product factor
16C2×#2583C211yesmaximal, characteristic, complemented
17C2×#2556C211yesmaximal, characteristic, complemented
18C2×#2555C211yesmaximal, characteristic, complemented
19C2×#2549C211yesmaximal, characteristic, complemented
20C2×#2413C211yesmaximal, characteristic, complemented
21C2×#2406C211yesmaximal, characteristic, complemented
22C2×#2430C211yesmaximal, characteristic, complemented
23C2×#2432C211yesmaximal, characteristic, complemented
24C2×#2407C211yesmaximal, characteristic, complemented
25C2×#2452C211yesmaximal, characteristic, complemented
26C2×#2464C211yesmaximal, characteristic, complemented
27C2×#2440C211yesmaximal, characteristic, complemented
28C2×#2416C211yesmaximal, characteristic, complemented
29C2×#2425C211yesmaximal, characteristic, complemented
30C2×#2620C211yesmaximal, characteristic, complemented
31C2×#2661C211yesmaximal, characteristic, complemented
32C2×#2363C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic
35C2×#562—216no—
36C2×#562C22116yescomplemented
37C2×#537—216no—
38C2×#537C22116yescomplemented
39C22×C4⋊Q8C2211yescharacteristic
40C22×#125C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×#123C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic
55C22×C22⋊Q8C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic
59C22×C22⋊Q8C2211yescharacteristic
60C22×C22⋊Q8C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C22×#121C2211yescharacteristic
68C22×#121C2211yescharacteristic
69C22×#121C2211yescharacteristic
70C22×#121C2211yescharacteristic
71C22×#121C2211yescharacteristic
72C22×#121C2211yescharacteristic
73C22×#121C2211yescharacteristic
74C22×#121C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×#117C2211yescharacteristic
78C23×C4⋊C4C2211yescharacteristic
79C23×C4⋊C4C2211yescharacteristic
80#2704C22116yescomplemented
81#2701C22116yescomplemented
82#2701C22116yescomplemented
83#2700C22116yescomplemented
84#2686C22116yescomplemented
85#2683C22116yescomplemented
86#2682C22116yescomplemented
87#2682C22116yescomplemented
88#2681C22116yescomplemented
89#2680C22116yescomplemented
90#2672C22116yescomplemented
91#2671C22116yescomplemented
92#2661C22116yescomplemented
93#2620C22116yescomplemented
94#2583C22116yescomplemented
95#2556C22116yescomplemented
96#2555C22116yescomplemented
97#2549C22116yescomplemented
98#2464C22116yescomplemented
99#2452C22116yescomplemented
100#2440C22116yescomplemented
101#2432C22116yescomplemented
102#2430C22116yescomplemented
103#2425C22116yescomplemented
104#2416C22116yescomplemented
105#2413C22116yescomplemented
106#2407C22116yescomplemented
107#2406C22116yescomplemented
108C2×#399C2211yescharacteristic
109C2×#398C2211yescharacteristic
110C2×#398C2211yescharacteristic
111C2×#398C2211yescharacteristic
112C2×#398C2211yescharacteristic
113C2×#398C2211yescharacteristic
114C2×#398C2211yescharacteristic
115C2×#398C2211yescharacteristic
116C2×#397C2211yescharacteristic
117C2×#397C2211yescharacteristic
118C2×#397C2211yescharacteristic
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic
126C2×#396C2211yescharacteristic
127C2×#396C2211yescharacteristic
128C2×#395C2211yescharacteristic
129C2×#395C2211yescharacteristic
130C2×#395C2211yescharacteristic
131C2×#395C2211yescharacteristic
132C2×#395C2211yescharacteristic
133C2×#395C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic
145C2×#394C2211yescharacteristic
146C2×#394C2211yescharacteristic
147C2×#394C2211yescharacteristic
148C2×#394C2211yescharacteristic
149C2×#393C2211yescharacteristic
150C2×#393C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156#2363C22116yescomplemented
157C2×#391C2211yescharacteristic
158C2×#391C2211yescharacteristic
159C2×#391C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic
166C2×#390C2211yescharacteristic
167C2×#389C2211yescharacteristic
168C2×#389C2211yescharacteristic
169C2×#389C2211yescharacteristic
170C2×#389C2211yescharacteristic
171C2×#389C2211yescharacteristic
172C2×#389C2211yescharacteristic
173C2×#389C2211yescharacteristic
174C2×#389C2211yescharacteristic
175C2×#389C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic
182C2×#388C2211yescharacteristic
183C2×#388C2211yescharacteristic
184C2×#387C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic
207C2×#385C2211yescharacteristic
208C2×#385C2211yescharacteristic
209C2×#384C2211yescharacteristic
210C2×#381C2211yescharacteristic
211C2×#381C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×#380C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic
220C22×#95C2211yescharacteristic
221C22×#41—28no—
222C22×#41—28no—
223C22×#41—44no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41—44no—
227C22×#41C2318yes—
228C22×#41C2318yes—
229C23×Q8C2311yescharacteristic
230C23×Q8C2311yescharacteristic
231C23×Q8C2311yescharacteristic
232C23×Q8C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260#562—2128no—
261#537—2128no—
262C2×C4⋊Q8—44no—
263C2×C4⋊Q8C2318yes—
264C2×#125—28no—
265C2×#125C2318yes—
266C2×#124—28no—
267C2×#124—28no—
268C2×#124—44no—
269C2×#124C2318yes—
270C2×#124C2318yes—
271C2×#124C2318yes—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—44no—
277C2×#123—44no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yes—
286C2×#123C2318yes—
287C2×#123C2318yes—
288C2×C22⋊Q8—28no—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8—28no—
293C2×C22⋊Q8—28no—
294C2×C22⋊Q8—28no—
295C2×C22⋊Q8—28no—
296C2×C22⋊Q8—44no—
297C2×C22⋊Q8—44no—
298C2×C22⋊Q8C2318yes—
299C2×C22⋊Q8C2318yes—
300C2×C22⋊Q8C2318yes—
301C2×C22⋊Q8C2318yes—
302C2×C22⋊Q8C2318yes—
303C2×C22⋊Q8C2318yes—
304C2×C22⋊Q8C2318yes—
305C2×C22⋊Q8C2318yes—
306C2×C22⋊Q8C2318yes—
307C2×C22⋊Q8C2318yes—
308C2×#121—28no—
309C2×#121—28no—
310C2×#121—28no—
311C2×#121—28no—
312C2×#121—28no—
313C2×#121—28no—
314C2×#121—28no—
315C2×#121—28no—
316C2×#121—28no—
317C2×#121—28no—
318C2×#121—44no—
319C2×#121—44no—
320C2×#121D4116yescomplemented
321C2×#121C2318yes—
322C2×#121C2318yes—
323C2×#121C2318yes—
324C2×#121C2318yes—
325C2×#121C2318yes—
326C2×#121C2318yes—
327C2×#121C2318yes—
328C2×#121C2318yes—
329C2×#121C2318yes—
330C2×#121C2318yes—
331C2×#121C2318yes—
332C2×#121C2318yes—
333C2×#121C2318yes—
334C2×C4×D4—44no—
335C2×C4×D4—44no—
336C2×C4×D4C2318yes—
337C2×C4×D4C2318yes—
338C2×#117—44no—
339C2×#117C2318yes—
340C22×C4⋊C4—28no—
341C22×C4⋊C4—44no—
342C22×C4⋊C4C2318yes—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2318yes—
382C22×C4⋊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×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438#399C2318yes—
439#398C2318yes—
440#398C2318yes—
441#398C2318yes—
442#398C2318yes—
443#398C2318yes—
444#398C2318yes—
445#398C2318yes—
446#397C2318yes—
447#397C2318yes—
448#397C2318yes—
449#396C2318yes—
450#396C2318yes—
451#396C2318yes—
452#396C2318yes—
453#396C2318yes—
454#396C2318yes—
455#396C2318yes—
456#396C2318yes—
457#396C2318yes—
458#395C2318yes—
459#395C2318yes—
460#395C2318yes—
461#395C2318yes—
462#395C2318yes—
463#395C2318yes—
464#394C2318yes—
465#394C2318yes—
466#394C2318yes—
467#394C2318yes—
468#394C2318yes—
469#394C2318yes—
470#394C2318yes—
471#394C2318yes—
472#394C2318yes—
473#394C2318yes—
474#394C2318yes—
475#394C2318yes—
476#394C2318yes—
477#394C2318yes—
478#394C2318yes—
479#393C2318yes—
480#393C2318yes—
481#392C2318yes—
482#392C2318yes—
483#392C2318yes—
484#392C2318yes—
485#392C2318yes—
486#391C2318yes—
487#391C2318yes—
488#391C2318yes—
489#390C2318yes—
490#390C2318yes—
491#390C2318yes—
492#390C2318yes—
493#390C2318yes—
494#390C2318yes—
495#390C2318yes—
496#389C2318yes—
497#389C2318yes—
498#389C2318yes—
499#389C2318yes—
500#389C2318yes—
501#389C2318yes—
502#389C2318yes—
503#389C2318yes—
504#389C2318yes—
505#388C2318yes—
506#388C2318yes—
507#388C2318yes—
508#388C2318yes—
509#388C2318yes—
510#388C2318yes—
511#388C2318yes—
512#388C2318yes—
513#387C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#386C2318yes—
520#386C2318yes—
521#386C2318yes—
522#386C2318yes—
523#386C2318yes—
524#385C2318yes—
525#385C2318yes—
526#385C2318yes—
527#385C2318yes—
528#385C2318yes—
529#385C2318yes—
530#385C2318yes—
531#385C2318yes—
532#385C2318yes—
533#385C2318yes—
534#385C2318yes—
535#385C2318yes—
536#385C2318yes—
537#385C2318yes—
538#384C2318yes—
539#381C2318yes—
540#381C2318yes—
541#380C2318yes—
542#380C2318yes—
543#380C2318yes—
544C4×C4⋊C4C2318yes—
545C4×C22⋊C4C2318yes—
546C4×C22⋊C4C2318yes—
547C4×C22⋊C4C2318yes—
548C4×C22⋊C4C2318yes—
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
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2318yes—
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2411yescharacteristic
583C25C2411yescharacteristic
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C2×#41—232no—
587C2×#41—232no—
588C2×#41—416no—
589C2×#41—416no—
590C2×#41—416no—
591C2×#41—416no—
592C2×#41—464no—
593C2×#41—464no—
594C22×Q8—24no—
595C22×Q8—24no—
596C22×Q8—24no—
597C22×Q8—24no—
598C22×Q8—24no—
599C22×Q8—24no—
600C22×Q8—42no—
601C22×Q8—42no—
602C22×Q8—42no—
603C22×Q8—42no—
604C22×Q8—42no—
605C22×Q8—42no—
606C22×Q8C2414yes—
607C22×Q8C2414yes—
608C22×Q8C2414yes—
609C22×Q8C2414yes—
610C22×D4—24no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—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×D4C2×D418yes—
653C22×D4C2×D418yes—
654C22×D4C2×D418yes—
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—
670C23×C4—24no—
671C23×C4—24no—
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—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4C2×D418yes—
706C23×C4C2414yes—
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726C23×C4C2414yes—
727C23×C4C2414yes—
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2411yescharacteristic
737C23×C4C2414yes—
738C23×C4C2414yes—
739C23×C4C2414yes—
740C23×C4C2414yes—
741C23×C4C2414yes—
742C23×C4C2414yes—
743C4⋊Q8—416no—
744#125—232no—
745#124—232no—
746#124—232no—
747#124—416no—
748#123—232no—
749#123—232no—
750#123—232no—
751#123—232no—
752#123—416no—
753#123—416no—
754#123—416no—
755#123—416no—
756C22⋊Q8—232no—
757C22⋊Q8—232no—
758C22⋊Q8—232no—
759C22⋊Q8—232no—
760C22⋊Q8—232no—
761C22⋊Q8—232no—
762C22⋊Q8—232no—
763C22⋊Q8—232no—
764C22⋊Q8—416no—
765C22⋊Q8—416no—
766#121—232no—
767#121—232no—
768#121—232no—
769#121—232no—
770#121—232no—
771#121—232no—
772#121—232no—
773#121—232no—
774#121—232no—
775#121—232no—
776#121—416no—
777#121—416no—
778#121C2×D4164yescomplemented
779C4×D4—416no—
780C4×D4—416no—
781#117—416no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—232no—
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—24no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—24no—
805C2×C4⋊C4—24no—
806C2×C4⋊C4—24no—
807C2×C4⋊C4—416no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4—42no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—42no—
816C2×C4⋊C4—42no—
817C2×C4⋊C4—42no—
818C2×C4⋊C4—42no—
819C2×C4⋊C4—42no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—42no—
822C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
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—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—42no—
892C2×C22⋊C4—42no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—42no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4—42no—
897C2×C22⋊C4—42no—
898C2×C22⋊C4—42no—
899C2×C22⋊C4—42no—
900C2×C22⋊C4—42no—
901C2×C22⋊C4—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—42no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4C2×D418yes—
909C2×C22⋊C4C2×D418yes—
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×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C42—24no—
959C2×C42—24no—
960C2×C42—42no—
961C2×C42—42no—
962C2×C42—42no—
963C2×C42—42no—
964C2×C42—42no—
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—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24C22×D414yes—
1042C24C22×D414yes—
1043C24C22×D414yes—
1044C24C2512yes—
1045C24C2512yes—
1046C24C2512yes—
1047C24C2512yes—
1048C24C2512yes—
1049C24C2512yes—
1050C24C2511yescharacteristic
1051#41—4128no—
1052#41—4128no—
1053C2×Q8—28no—
1054C2×Q8—28no—
1055C2×Q8—28no—
1056C2×Q8—28no—
1057C2×Q8—28no—
1058C2×Q8—28no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—416no—
1066C2×Q8—416no—
1067C2×Q8—88no—
1068C2×Q8—88no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—416no—
1086C2×D4—416no—
1087C2×D4—416no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—416no—
1101C2×D4—416no—
1102C2×D4—416no—
1103C2×D4—44no—
1104C2×D4—44no—
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—416no—
1118C2×D4—416no—
1119C2×D4—88no—
1120C2×D4—88no—
1121C2×D4—88no—
1122C2×D4—88no—
1123C2×D4—88no—
1124C2×D4—88no—
1125C2×D4—88no—
1126C2×D4C22×D4116yes—
1127C2×D4C22×D4116yes—
1128C2×D4C22×D4116yes—
1129C22×C4—232no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—28no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—28no—
1163C22×C4—28no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—28no—
1202C22×C4—28no—
1203C22×C4—28no—
1204C22×C4—28no—
1205C22×C4—28no—
1206C22×C4—28no—
1207C22×C4—28no—
1208C22×C4—28no—
1209C22×C4—28no—
1210C22×C4—28no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—416no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—416no—
1223C22×C4—416no—
1224C22×C4—416no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—416no—
1236C22×C4—416no—
1237C22×C4—88no—
1238C22×C4—88no—
1239C22×C4—88no—
1240C22×C4—88no—
1241C22×C4—88no—
1242C22×C4C22×D414yes—
1243C22×C4C22×D414yes—
1244C22×C4C22×D414yes—
1245C22×C4C22×D414yes—
1246C22×C4C22×D4116yes—
1247C22×C4H(5,𝔽2)14yes—
1248C22×C4H(5,𝔽2)14yes—
1249C22×C4H(5,𝔽2)14yes—
1250C22×C42−1+414yes—
1251C22×C42−1+414yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C4⋊C4—28no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—28no—
1283C4⋊C4—28no—
1284C4⋊C4—28no—
1285C4⋊C4—28no—
1286C4⋊C4—28no—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4C22×D4116yes—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—44no—
1346C22⋊C4—44no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
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⋊C4C22×D4116yes—
1363C22⋊C4C22×D4116yes—
1364C42—28no—
1365C42—28no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—28no—
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—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23C23×D414yes—
1453C23C23×D414yes—
1454C23C23×D414yes—
1455C23C23×D412yes—
1456C23C2×H(5,𝔽2)12yes—
1457C23C2×H(5,𝔽2)12yes—
1458C23C2×H(5,𝔽2)12yes—
1459C23C2×2−1+412yes—
1460C23C2×2−1+412yes—
1461C23#58512yes—
1462C23C2611yescharacteristic
1463Q8—416no—
1464Q8—416no—
1465Q8—88no—
1466Q8—88no—
1467D4—416no—
1468D4—416no—
1469D4—416no—
1470D4—416no—
1471D4—416no—
1472D4—416no—
1473D4—416no—
1474D4—416no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—88no—
1481D4—88no—
1482C2×C4—232no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—28no—
1502C2×C4—28no—
1503C2×C4—28no—
1504C2×C4—28no—
1505C2×C4—28no—
1506C2×C4—28no—
1507C2×C4—28no—
1508C2×C4—28no—
1509C2×C4—28no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—416no—
1559C2×C4—416no—
1560C2×C4—416no—
1561C2×C4—416no—
1562C2×C4—416no—
1563C2×C4—416no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—88no—
1581C2×C4—88no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4C23×D414yes—
1586C2×C4C23×D414yes—
1587C2×C4C23×D414yes—
1588C2×C4C23×D414yes—
1589C2×C4C2×H(5,𝔽2)14yes—
1590C2×C4C2×H(5,𝔽2)14yes—
1591C2×C4C2×H(5,𝔽2)14yes—
1592C2×C4C2×2−1+414yes—
1593C2×C4C2×2−1+414yes—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—24no—
1602C22—24no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—416no—
1616C22—416no—
1617C22—416no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—88no—
1640C22—88no—
1641C22—88no—
1642C22#348414yes—
1643C22#349614yes—
1644C22#349914yes—
1645C22#353614yes—
1646C22#354114yes—
1647C22#354714yes—
1648C22#354814yes—
1649C22C24×D411yescharacteristic
1650C22C22×H(5,𝔽2)11yescharacteristic
1651C22C22×H(5,𝔽2)11yescharacteristic
1652C22C22×H(5,𝔽2)11yescharacteristic
1653C22C22×2−1+411yescharacteristic
1654C22C22×2−1+411yescharacteristic
1655C22C2×#58511yescharacteristic
1656C4—24no—
1657C4—24no—
1658C4—24no—
1659C4—24no—
1660C4—24no—
1661C4—24no—
1662C4—24no—
1663C4—24no—
1664C4—24no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C2—44no—
1682C2—44no—
1683C2—44no—
1684C2—82no—
1685C2—82no—
1686C2—82no—
1687C2#4956518yesdirect product factor
1688C2C2×#354111yescharacteristic
1689C2C2×#353611yescharacteristic
1690C2C2×#354711yescharacteristic
1691C2C2×#354811yescharacteristic
1692C2C2×#348411yescharacteristic
1693C2C2×#349611yescharacteristic
1694C2C2×#349911yescharacteristic
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×#562C2semidirect
2. C22×#537C2semidirect
3. C2×#2704C2semidirect
4. C2×#2701C2semidirect
5. C2×#2701C2semidirect
6. C2×#2700C2semidirect
7. C2×#2686C2semidirect
8. C2×#2683C2semidirect
9. C2×#2682C2semidirect
10. C2×#2682C2semidirect
11. C2×#2681C2semidirect
12. C2×#2680C2semidirect
13. C2×#2672C2semidirect
14. C2×#2671C2semidirect
15. #49565C2direct (N × H)
16. C2×#2583C2semidirect
17. C2×#2556C2semidirect
18. C2×#2555C2semidirect
19. C2×#2549C2semidirect
20. C2×#2413C2semidirect
21. C2×#2406C2semidirect
22. C2×#2430C2semidirect
23. C2×#2432C2semidirect
24. C2×#2407C2semidirect
25. C2×#2452C2semidirect
26. C2×#2464C2semidirect
27. C2×#2440C2semidirect
28. C2×#2416C2semidirect
29. C2×#2425C2semidirect
30. C2×#2620C2semidirect
31. C2×#2661C2semidirect
32. C2×#2363C2semidirect
36. C2×#562C22semidirect
38. C2×#537C22semidirect
80. #2704C22semidirect
81. #2701C22semidirect
82. #2701C22semidirect
83. #2700C22semidirect
84. #2686C22semidirect
85. #2683C22semidirect
86. #2682C22semidirect
87. #2682C22semidirect
88. #2681C22semidirect
89. #2680C22semidirect
90. #2672C22semidirect
91. #2671C22semidirect
92. #2661C22semidirect
93. #2620C22semidirect
94. #2583C22semidirect
95. #2556C22semidirect
96. #2555C22semidirect
97. #2549C22semidirect
98. #2464C22semidirect
99. #2452C22semidirect
100. #2440C22semidirect
101. #2432C22semidirect
102. #2430C22semidirect
103. #2425C22semidirect
104. #2416C22semidirect
105. #2413C22semidirect
106. #2407C22semidirect
107. #2406C22semidirect
156. #2363C22semidirect
320. C2×#121D4semidirect
778. #121C2×D4semidirect
1687. C2#49565direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5622
C22×#5372
C2×#27042
C2×#27012
C2×#27002
C2×#26862
C2×#26832
C2×#26822
C2×#26812
C2×#26802
C2×#26722
C2×#26712
#495652
C2×#25832
C2×#25562
C2×#25552
C2×#25492
C2×#24132
C2×#24062
C2×#24302
C2×#24322
C2×#24072
C2×#24522
C2×#24642
C2×#24402
C2×#24162
C2×#24252
C2×#26202
C2×#26612
C2×#23632