Finite Group Databasebeta

← C2×#51421 #7707036

Subgroups — C2×#51421 #7707036

Order 512.

7648 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#560C211yesmaximal, characteristic
2C22×#541C211yesmaximal, characteristic, complemented
3C2×#2711C211yesmaximal, characteristic, complemented
4C2×#2711C211yesmaximal, characteristic, complemented
5C2×#2711C211yesmaximal, characteristic, complemented
6C2×#2707C211yesmaximal, characteristic, complemented
7C2×#2694C211yesmaximal, characteristic, complemented
8C2×#2691C211yesmaximal, characteristic, complemented
9C2×#2685C211yesmaximal, characteristic, complemented
10C2×#2685C211yesmaximal, characteristic, complemented
11C2×#2685C211yesmaximal, characteristic, complemented
12C2×#2681C211yesmaximal, characteristic, complemented
13C2×#2674C211yesmaximal, characteristic, complemented
14C2×#2672C211yesmaximal, characteristic, complemented
15#51421C2132yesmaximal, direct product factor
16C2×#2548C211yesmaximal, characteristic, complemented
17C2×#2604C211yesmaximal, characteristic, complemented
18C2×#2558C211yesmaximal, characteristic, complemented
19C2×#2558C211yesmaximal, characteristic, complemented
20C2×#2559C211yesmaximal, characteristic, complemented
21C2×#2559C211yesmaximal, characteristic, complemented
22C2×#2490C211yesmaximal, characteristic, complemented
23C2×#2491C211yesmaximal, characteristic, complemented
24C2×#2411C211yesmaximal, characteristic, complemented
25C2×#2476C211yesmaximal, characteristic, complemented
26C2×#2426C211yesmaximal, characteristic, complemented
27C2×#2458C211yesmaximal, characteristic, complemented
28C2×#2472C211yesmaximal, characteristic, complemented
29C2×#2472C211yesmaximal, characteristic, complemented
30C2×#2641C211yesmaximal, characteristic, complemented
31C2×#2664C211yesmaximal, characteristic, complemented
32C2×#2373C211yesmaximal, characteristic, complemented
33C2×#560—216no—
34C2×#560C22116yes—
35C2×#541—216no—
36C2×#541C22116yescomplemented
37C22×C4⋊Q8C2211yescharacteristic, complemented
38C22×#127C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic
41C22×#126C2211yescharacteristic
42C22×#126C2211yescharacteristic
43C22×#126C2211yescharacteristic
44C22×#125C2211yescharacteristic, complemented
45C22×#125C2211yescharacteristic, complemented
46C22×#125C2211yescharacteristic, complemented
47C22×#125C2211yescharacteristic, complemented
48C22×#125C2211yescharacteristic, complemented
49C22×#124C2211yescharacteristic
50C22×#124C2211yescharacteristic
51C22×#124C2211yescharacteristic, complemented
52C22×#123C2211yescharacteristic
53C22×#123C2211yescharacteristic
54C22×#123C2211yescharacteristic
55C22×#123C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic, complemented
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic
68C22×C4×Q8C2211yescharacteristic, complemented
69C22×C4×Q8C2211yescharacteristic, complemented
70C22×#117C2211yescharacteristic
71C23×C22⋊C4C2211yescharacteristic
72#2711C22116yescomplemented
73#2711C22116yescomplemented
74#2711C22116yescomplemented
75#2707C22116yescomplemented
76#2694C22116yescomplemented
77#2691C22116yescomplemented
78#2685C22116yescomplemented
79#2685C22116yescomplemented
80#2685C22116yescomplemented
81#2681C22116yescomplemented
82#2674C22116yescomplemented
83#2672C22116yescomplemented
84#2664C22116yescomplemented
85#2641C22116yescomplemented
86#2604C22116yescomplemented
87#2559C22116yescomplemented
88#2559C22116yescomplemented
89#2558C22116yescomplemented
90#2558C22116yescomplemented
91#2548C22116yescomplemented
92#2491C22116yescomplemented
93#2490C22116yescomplemented
94#2476C22116yescomplemented
95#2472C22116yescomplemented
96#2472C22116yescomplemented
97#2458C22116yescomplemented
98#2426C22116yescomplemented
99#2411C22116yescomplemented
100C2×#400C2211yescharacteristic, complemented
101C2×#400C2211yescharacteristic, complemented
102C2×#399C2211yescharacteristic
103C2×#399C2211yescharacteristic
104C2×#399C2211yescharacteristic
105C2×#399C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic
110C2×#397C2211yescharacteristic
111C2×#397C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic
117C2×#396C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic, complemented
119C2×#396C2211yescharacteristic, complemented
120C2×#395C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic, complemented
140C2×#394C2211yescharacteristic, complemented
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#394C2211yescharacteristic, complemented
145C2×#393C2211yescharacteristic
146C2×#393C2211yescharacteristic
147C2×#393C2211yescharacteristic, complemented
148#2373C22116yescomplemented
149C2×#390C2211yescharacteristic
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#390C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#389C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#389C2211yescharacteristic, complemented
168C2×#389C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic
182C2×#388C2211yescharacteristic
183C2×#388C2211yescharacteristic
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#388C2211yescharacteristic, complemented
187C2×#388C2211yescharacteristic, complemented
188C2×#388C2211yescharacteristic, complemented
189C2×#388C2211yescharacteristic, complemented
190C2×#387C2211yescharacteristic, complemented
191C2×#387C2211yescharacteristic, complemented
192C2×#387C2211yescharacteristic, complemented
193C2×#387C2211yescharacteristic, complemented
194C2×#387C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C2×#376C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241#560—2128no—
242#541—2128no—
243C2×C4⋊Q8—28no—
244C2×C4⋊Q8C2318yescomplemented
245C2×#127—28no—
246C2×#127C2318yes—
247C2×#126—28no—
248C2×#126—28no—
249C2×#126—28no—
250C2×#126—28no—
251C2×#126D4116yes—
252C2×#126C2318yes—
253C2×#126C2318yes—
254C2×#126C2318yes—
255C2×#126C2318yes—
256C2×#126C2318yes—
257C2×#125—28no—
258C2×#125—28no—
259C2×#125—28no—
260C2×#125—28no—
261C2×#125—28no—
262C2×#125C2318yescomplemented
263C2×#125C2318yescomplemented
264C2×#125C2318yescomplemented
265C2×#125C2318yescomplemented
266C2×#125C2318yescomplemented
267C2×#124—44no—
268C2×#124—44no—
269C2×#124—44no—
270C2×#124C2318yes—
271C2×#124C2318yes—
272C2×#124C2318yescomplemented
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—44no—
277C2×#123C2318yes—
278C2×#123C2318yes—
279C2×#123C2318yes—
280C2×#123C2318yes—
281C2×C22⋊Q8—28no—
282C2×C22⋊Q8—28no—
283C2×C22⋊Q8—44no—
284C2×C22⋊Q8C2318yes—
285C2×C22⋊Q8C2318yes—
286C2×C22⋊Q8C2318yescomplemented
287C2×#121—28no—
288C2×#121—28no—
289C2×#121—28no—
290C2×#121—28no—
291C2×#121—28no—
292C2×#121—28no—
293C2×#121C2318yes—
294C2×#121C2318yes—
295C2×#121C2318yes—
296C2×#121C2318yes—
297C2×#121C2318yes—
298C2×#121C2318yes—
299C2×#120—28no—
300C2×#120—28no—
301C2×#120—28no—
302C2×#120C2318yes—
303C2×#120C2318yes—
304C2×#120C2318yes—
305C2×C4×Q8—28no—
306C2×C4×Q8—28no—
307C2×C4×Q8C2318yescomplemented
308C2×C4×Q8C2318yescomplemented
309C2×#117—28no—
310C2×#117C2318yes—
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×C22⋊C4—44no—
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⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2318yes—
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420#400C2318yescomplemented
421#400C2318yescomplemented
422#399C2318yes—
423#399C2318yes—
424#399C2318yes—
425#399C2318yescomplemented
426#398C2318yescomplemented
427#398C2318yescomplemented
428#398C2318yescomplemented
429#397C2318yes—
430#397C2318yes—
431#397C2318yescomplemented
432#396C2318yes—
433#396C2318yes—
434#396C2318yes—
435#396C2318yes—
436#396C2318yes—
437#396C2318yescomplemented
438#396C2318yescomplemented
439#396C2318yescomplemented
440#395C2318yescomplemented
441#394C2318yes—
442#394C2318yes—
443#394C2318yes—
444#394C2318yes—
445#394C2318yes—
446#394C2318yes—
447#394C2318yes—
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yescomplemented
460#394C2318yescomplemented
461#394C2318yescomplemented
462#394C2318yescomplemented
463#394C2318yescomplemented
464#394C2318yescomplemented
465#393C2318yes—
466#393C2318yes—
467#393C2318yescomplemented
468#390C2318yes—
469#390C2318yes—
470#390C2318yes—
471#390C2318yes—
472#390C2318yes—
473#390C2318yes—
474#390C2318yes—
475#390C2318yes—
476#390C2318yes—
477#390C2318yes—
478#390C2318yescomplemented
479#390C2318yescomplemented
480#390C2318yescomplemented
481#390C2318yescomplemented
482#390C2318yescomplemented
483#389C2318yescomplemented
484#389C2318yescomplemented
485#389C2318yescomplemented
486#389C2318yescomplemented
487#389C2318yescomplemented
488#388C2318yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yes—
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yes—
497#388C2318yes—
498#388C2318yes—
499#388C2318yes—
500#388C2318yes—
501#388C2318yes—
502#388C2318yes—
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#387C2318yescomplemented
510#387C2318yescomplemented
511#387C2318yescomplemented
512#387C2318yescomplemented
513#387C2318yescomplemented
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#385C2318yes—
520#385C2318yescomplemented
521#385C2318yescomplemented
522#385C2318yescomplemented
523#385C2318yescomplemented
524#385C2318yescomplemented
525#385C2318yescomplemented
526#380C2318yescomplemented
527#380C2318yescomplemented
528#379C2318yes—
529#379C2318yes—
530#379C2318yes—
531C4×C4⋊C4C2318yescomplemented
532C4×C4⋊C4C2318yescomplemented
533C4×C4⋊C4C2318yescomplemented
534C4×C22⋊C4C2318yes—
535C4×C22⋊C4C2318yes—
536C4×C22⋊C4C2318yescomplemented
537C4×C22⋊C4C2318yescomplemented
538C4×C22⋊C4C2318yescomplemented
539#376C2318yescomplemented
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—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25—42no—
574C25—42no—
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2414yes—
582C22×Q8—24no—
583C22×Q8—24no—
584C22×Q8—24no—
585C22×Q8—24no—
586C22×Q8—42no—
587C22×Q8—42no—
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—42no—
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—42no—
644C23×C4—42no—
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×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2414yes—
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2414yes—
680C23×C4C2414yes—
681C23×C4C2414yes—
682C23×C4C2414yes—
683C4⋊Q8—232no—
684#127—232no—
685#126—232no—
686#126—232no—
687#126—232no—
688#126—232no—
689#126C2×D4164yes—
690#125—232no—
691#125—232no—
692#125—232no—
693#125—232no—
694#125—232no—
695#124—416no—
696#124—416no—
697#124—416no—
698#123—232no—
699#123—232no—
700#123—232no—
701#123—416no—
702C22⋊Q8—232no—
703C22⋊Q8—232no—
704C22⋊Q8—416no—
705#121—232no—
706#121—232no—
707#121—232no—
708#121—232no—
709#121—232no—
710#121—232no—
711#120—232no—
712#120—232no—
713#120—232no—
714C4×Q8—232no—
715C4×Q8—232no—
716#117—232no—
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—24no—
728C2×C4⋊C4—24no—
729C2×C4⋊C4—24no—
730C2×C4⋊C4—24no—
731C2×C4⋊C4—24no—
732C2×C4⋊C4—24no—
733C2×C4⋊C4—24no—
734C2×C4⋊C4—24no—
735C2×C4⋊C4—24no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—24no—
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⋊C4—42no—
750C2×C4⋊C4C2×D418yes—
751C2×C4⋊C4C2×D418yes—
752C2×C4⋊C4C2×D418yes—
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×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
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—416no—
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—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⋊C4—42no—
845C2×C22⋊C4C2×D418yes—
846C2×C22⋊C4C2×D418yes—
847C2×C22⋊C4C2×D418yes—
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×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C42—24no—
907C2×C42—24no—
908C2×C42—24no—
909C2×C42—24no—
910C2×C42—24no—
911C2×C42—42no—
912C2×C42—42no—
913C2×C42—42no—
914C2×C42—42no—
915C2×C42—42no—
916C2×C42—42no—
917C2×C42—42no—
918C2×C42C2×D418yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2414yes—
926C2×C42C2414yes—
927C2×C42C2414yes—
928C2×C42C2414yes—
929C2×C42C2414yes—
930C2×C42C2414yes—
931C2×C42C2414yes—
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—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
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—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—28no—
1002C24—44no—
1003C24—44no—
1004C24—44no—
1005C24—44no—
1006C24—44no—
1007C24—44no—
1008C24—416no—
1009C24—88no—
1010C24—88no—
1011C24—88no—
1012C24—88no—
1013C24—88no—
1014C24—88no—
1015C24C22×D414yes—
1016C24C2512yes—
1017C24C2512yes—
1018C24C2512yes—
1019C24C2512yes—
1020C24C2512yes—
1021C24C2512yes—
1022C24C2511yescharacteristic
1023C2×Q8—28no—
1024C2×Q8—28no—
1025C2×Q8—28no—
1026C2×Q8—28no—
1027C2×Q8—44no—
1028C2×Q8—44no—
1029C2×Q8—416no—
1030C2×Q8—416no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—28no—
1043C2×D4—44no—
1044C2×D4—44no—
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—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—88no—
1068C2×D4—88no—
1069C2×D4—88no—
1070C2×D4—88no—
1071C2×D4—88no—
1072C2×D4—88no—
1073C2×D4—88no—
1074C2×D4—88no—
1075C2×D4—88no—
1076C2×D4—88no—
1077C2×D4—88no—
1078C2×D4—88no—
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—28no—
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—22no—
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—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—28no—
1149C22×C4—28no—
1150C22×C4—28no—
1151C22×C4—28no—
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—416no—
1163C22×C4—88no—
1164C22×C4—88no—
1165C22×C4—88no—
1166C22×C4—88no—
1167C22×C4C22×D414yes—
1168C22×C4C22×D414yes—
1169C22×C4C22×D414yes—
1170C22×C4C22×D414yes—
1171C22×C4C22×D414yes—
1172C22×C4C22×D414yes—
1173C22×C4H(5,𝔽2)14yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
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—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
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—28no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
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—
1231C4⋊C4—44no—
1232C4⋊C4C22×D4116yes—
1233C4⋊C4C22×D4116yes—
1234C4⋊C4C22×D4116yes—
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⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4C22×D4116yes—
1291C22⋊C4C22×D4116yes—
1292C22⋊C4C22×D4116yes—
1293C42—28no—
1294C42—28no—
1295C42—28no—
1296C42—28no—
1297C42—28no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C42—44no—
1305C42C22×D4116yes—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—28no—
1313C23—28no—
1314C23—28no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
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—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—416no—
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—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—88no—
1391C23—88no—
1392C23—88no—
1393C23—88no—
1394C23—88no—
1395C23—88no—
1396C23—864no—
1397C23C23×D414yes—
1398C23C23×D412yes—
1399C23C2×H(5,𝔽2)12yes—
1400C23#58512yes—
1401C23#58512yes—
1402C23#58512yes—
1403C23#58512yes—
1404C23#58512yes—
1405C23C2611yescharacteristic
1406Q8—416no—
1407Q8—416no—
1408D4—88no—
1409D4—88no—
1410D4—88no—
1411D4—88no—
1412D4—88no—
1413D4—88no—
1414D4—88no—
1415D4—88no—
1416D4—88no—
1417D4—88no—
1418D4—88no—
1419D4—88no—
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—28no—
1435C2×C4—28no—
1436C2×C4—28no—
1437C2×C4—28no—
1438C2×C4—28no—
1439C2×C4—28no—
1440C2×C4—28no—
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—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—416no—
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—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4C23×D414yes—
1519C2×C4C23×D414yes—
1520C2×C4C23×D414yes—
1521C2×C4C23×D414yes—
1522C2×C4C23×D414yes—
1523C2×C4C23×D414yes—
1524C2×C4C2×H(5,𝔽2)14yes—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—416no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
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—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—832no—
1569C22—88no—
1570C22—88no—
1571C22—88no—
1572C22—88no—
1573C22—88no—
1574C22#348814yes—
1575C22#350014yes—
1576C22#350014yes—
1577C22#353914yes—
1578C22#356214yes—
1579C22#356614yes—
1580C22#356614yes—
1581C22C24×D411yescharacteristic
1582C22C22×H(5,𝔽2)11yescharacteristic
1583C22C2×#58511yescharacteristic
1584C22C2×#58511yescharacteristic
1585C22C2×#58511yescharacteristic
1586C22C2×#58511yescharacteristic
1587C22C2×#58511yescharacteristic
1588C4—24no—
1589C4—24no—
1590C4—24no—
1591C4—24no—
1592C4—24no—
1593C4—24no—
1594C4—24no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C4—42no—
1609C4—42no—
1610C4—42no—
1611C4—42no—
1612C4—42no—
1613C2—44no—
1614C2—82no—
1615C2—82no—
1616C2—82no—
1617C2—82no—
1618C2—82no—
1619C2#5142118yesdirect product factor
1620C2C2×#353911yescharacteristic
1621C2C2×#356211yescharacteristic
1622C2C2×#356611yescharacteristic
1623C2C2×#356611yescharacteristic
1624C2C2×#348811yescharacteristic
1625C2C2×#350011yescharacteristic
1626C2C2×#350011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#560C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C22×#541C2semidirect
3. C2×#2711C2semidirect
4. C2×#2711C2semidirect
5. C2×#2711C2semidirect
6. C2×#2707C2semidirect
7. C2×#2694C2semidirect
8. C2×#2691C2semidirect
9. C2×#2685C2semidirect
10. C2×#2685C2semidirect
11. C2×#2685C2semidirect
12. C2×#2681C2semidirect
13. C2×#2674C2semidirect
14. C2×#2672C2semidirect
15. #51421C2direct (N × H)
16. C2×#2548C2semidirect
17. C2×#2604C2semidirect
18. C2×#2558C2semidirect
19. C2×#2558C2semidirect
20. C2×#2559C2semidirect
21. C2×#2559C2semidirect
22. C2×#2490C2semidirect
23. C2×#2491C2semidirect
24. C2×#2411C2semidirect
25. C2×#2476C2semidirect
26. C2×#2426C2semidirect
27. C2×#2458C2semidirect
28. C2×#2472C2semidirect
29. C2×#2472C2semidirect
30. C2×#2641C2semidirect
31. C2×#2664C2semidirect
32. C2×#2373C2semidirect
36. C2×#541C22semidirect
37. C22×C4⋊Q8C22semidirect
44. C22×#125C22semidirect
45. C22×#125C22semidirect
46. C22×#125C22semidirect
47. C22×#125C22semidirect
48. C22×#125C22semidirect
51. C22×#124C22semidirect
58. C22×C22⋊Q8C22semidirect
68. C22×C4×Q8C22semidirect
69. C22×C4×Q8C22semidirect
72. #2711C22semidirect
73. #2711C22semidirect
74. #2711C22semidirect
75. #2707C22semidirect
76. #2694C22semidirect
77. #2691C22semidirect
78. #2685C22semidirect
79. #2685C22semidirect
80. #2685C22semidirect
81. #2681C22semidirect
82. #2674C22semidirect
83. #2672C22semidirect
84. #2664C22semidirect
85. #2641C22semidirect
86. #2604C22semidirect
87. #2559C22semidirect
88. #2559C22semidirect
89. #2558C22semidirect
90. #2558C22semidirect
91. #2548C22semidirect
92. #2491C22semidirect
93. #2490C22semidirect
94. #2476C22semidirect
95. #2472C22semidirect
96. #2472C22semidirect
97. #2458C22semidirect
98. #2426C22semidirect
99. #2411C22semidirect
100. C2×#400C22semidirect
101. C2×#400C22semidirect
105. C2×#399C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
111. C2×#397C22semidirect
117. C2×#396C22semidirect
118. C2×#396C22semidirect
119. C2×#396C22semidirect
120. C2×#395C22semidirect
139. C2×#394C22semidirect
140. C2×#394C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
144. C2×#394C22semidirect
147. C2×#393C22semidirect
148. #2373C22semidirect
159. C2×#390C22semidirect
160. C2×#390C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#390C22semidirect
164. C2×#389C22semidirect
165. C2×#389C22semidirect
166. C2×#389C22semidirect
167. C2×#389C22semidirect
168. C2×#389C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#388C22semidirect
187. C2×#388C22semidirect
188. C2×#388C22semidirect
189. C2×#388C22semidirect
190. C2×#387C22semidirect
191. C2×#387C22semidirect
192. C2×#387C22semidirect
193. C2×#387C22semidirect
194. C2×#387C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×#376C22semidirect
244. C2×C4⋊Q8C23semidirect
262. C2×#125C23semidirect
263. C2×#125C23semidirect
264. C2×#125C23semidirect
265. C2×#125C23semidirect
266. C2×#125C23semidirect
272. C2×#124C23semidirect
286. C2×C22⋊Q8C23semidirect
307. C2×C4×Q8C23semidirect
308. C2×C4×Q8C23semidirect
420. #400C23semidirect
421. #400C23semidirect
425. #399C23semidirect
426. #398C23semidirect
427. #398C23semidirect
428. #398C23semidirect
431. #397C23semidirect
437. #396C23semidirect
438. #396C23semidirect
439. #396C23semidirect
440. #395C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
467. #393C23semidirect
478. #390C23semidirect
479. #390C23semidirect
480. #390C23semidirect
481. #390C23semidirect
482. #390C23semidirect
483. #389C23semidirect
484. #389C23semidirect
485. #389C23semidirect
486. #389C23semidirect
487. #389C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
512. #387C23semidirect
513. #387C23semidirect
520. #385C23semidirect
521. #385C23semidirect
522. #385C23semidirect
523. #385C23semidirect
524. #385C23semidirect
525. #385C23semidirect
526. #380C23semidirect
527. #380C23semidirect
531. C4×C4⋊C4C23semidirect
532. C4×C4⋊C4C23semidirect
533. C4×C4⋊C4C23semidirect
536. C4×C22⋊C4C23semidirect
537. C4×C22⋊C4C23semidirect
538. C4×C22⋊C4C23semidirect
539. #376C23semidirect
1619. C2#51421direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5602
C22×#5412
C2×#27112
C2×#27072
C2×#26942
C2×#26912
C2×#26852
C2×#26812
C2×#26742
C2×#26722
#514212
C2×#25482
C2×#26042
C2×#25582
C2×#25592
C2×#24902
C2×#24912
C2×#24112
C2×#24762
C2×#24262
C2×#24582
C2×#24722
C2×#26412
C2×#26642
C2×#23732