Finite Group Databasebeta

← C2×#51526 #7707448

Subgroups — C2×#51526 #7707448

Order 512.

8968 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#546C211yesmaximal, characteristic
2C22×#542C211yesmaximal, characteristic, complemented
3C2×#2724C211yesmaximal, characteristic, complemented
4C2×#2717C211yesmaximal, characteristic, complemented
5C2×#2715C211yesmaximal, characteristic, complemented
6C2×#2697C211yesmaximal, characteristic, complemented
7C2×#2691C211yesmaximal, characteristic, complemented
8C2×#2686C211yesmaximal, characteristic, complemented
9C2×#2684C211yesmaximal, characteristic, complemented
10C2×#2684C211yesmaximal, characteristic, complemented
11C2×#2677C211yesmaximal, characteristic, complemented
12C2×#2674C211yesmaximal, characteristic, complemented
13C2×#2674C211yesmaximal, characteristic, complemented
14C2×#2672C211yesmaximal, characteristic, complemented
15#51526C2132yesmaximal, direct product factor
16C2×#2482C211yesmaximal, characteristic, complemented
17C2×#2485C211yesmaximal, characteristic, complemented
18C2×#2406C211yesmaximal, characteristic, complemented
19C2×#2432C211yesmaximal, characteristic, complemented
20C2×#2458C211yesmaximal, characteristic, complemented
21C2×#2435C211yesmaximal, characteristic, complemented
22C2×#2465C211yesmaximal, characteristic, complemented
23C2×#2466C211yesmaximal, characteristic, complemented
24C2×#2480C211yesmaximal, characteristic, complemented
25C2×#2405C211yesmaximal, characteristic, complemented
26C2×#2449C211yesmaximal, characteristic, complemented
27C2×#2443C211yesmaximal, characteristic, complemented
28C2×#2418C211yesmaximal, characteristic, complemented
29C2×#2437C211yesmaximal, characteristic, complemented
30C2×#2638C211yesmaximal, characteristic, complemented
31C2×#2626C211yesmaximal, characteristic, complemented
32C2×#2377C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C2×#546—216no—
36C2×#546C22116yes—
37C2×#542—216no—
38C2×#542C22116yescomplemented
39C22×C4⋊Q8C2211yescharacteristic, complemented
40C22×C4⋊Q8C2211yescharacteristic, complemented
41C22×#126C2211yescharacteristic, complemented
42C22×#126C2211yescharacteristic, complemented
43C22×#124C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47C22×#124C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×#123C2211yescharacteristic
52C22×#123C2211yescharacteristic, complemented
53C22×#123C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic
55C22×C22⋊Q8C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic, complemented
57C22×C22⋊Q8C2211yescharacteristic, complemented
58C22×C22⋊Q8C2211yescharacteristic, complemented
59C22×C22⋊Q8C2211yescharacteristic, complemented
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×C4×Q8C2211yescharacteristic, complemented
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic, complemented
70C23×C4⋊C4C2211yescharacteristic, complemented
71C23×C22⋊C4C2211yescharacteristic
72C23×C22⋊C4C2211yescharacteristic
73C23×C22⋊C4C2211yescharacteristic
74#2724C22116yescomplemented
75#2717C22116yescomplemented
76#2715C22116yescomplemented
77#2697C22116yescomplemented
78#2691C22116yescomplemented
79#2686C22116yescomplemented
80#2684C22116yescomplemented
81#2684C22116yescomplemented
82#2677C22116yescomplemented
83#2674C22116yescomplemented
84#2674C22116yescomplemented
85#2672C22116yescomplemented
86#2638C22116yescomplemented
87#2626C22116yescomplemented
88#2485C22116yescomplemented
89#2482C22116yescomplemented
90#2480C22116yescomplemented
91#2466C22116yescomplemented
92#2465C22116yescomplemented
93#2458C22116yescomplemented
94#2449C22116yescomplemented
95#2443C22116yescomplemented
96#2437C22116yescomplemented
97#2435C22116yescomplemented
98#2432C22116yescomplemented
99#2418C22116yescomplemented
100#2406C22116yescomplemented
101#2405C22116yescomplemented
102C2×#399C2211yescharacteristic
103C2×#399C2211yescharacteristic
104C2×#399C2211yescharacteristic, complemented
105C2×#399C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#397C2211yescharacteristic, complemented
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic, complemented
124C2×#396C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#395C2211yescharacteristic, complemented
127C2×#395C2211yescharacteristic, complemented
128C2×#395C2211yescharacteristic, complemented
129C2×#395C2211yescharacteristic, complemented
130C2×#395C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#394C2211yescharacteristic, complemented
145C2×#393C2211yescharacteristic
146C2×#393C2211yescharacteristic
147C2×#393C2211yescharacteristic, complemented
148C2×#393C2211yescharacteristic, complemented
149C2×#393C2211yescharacteristic, complemented
150#2377C22116yescomplemented
151C2×#391C2211yescharacteristic, complemented
152C2×#390C2211yescharacteristic
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
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×#388C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×#379C2211yescharacteristic
218C2×#379C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C22×#41—28no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41C2318yes—
227C23×Q8C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C23×Q8C2311yescharacteristic
230C23×Q8C2311yescharacteristic
231C23×D4—28no—
232C23×D4—44no—
233C23×D4—44no—
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2318yes—
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254#546—2128no—
255#542—2128no—
256C2×C4⋊Q8—28no—
257C2×C4⋊Q8—44no—
258C2×C4⋊Q8C2318yescomplemented
259C2×C4⋊Q8C2318yescomplemented
260C2×#126—28no—
261C2×#126—28no—
262C2×#126C2318yescomplemented
263C2×#126C2318yescomplemented
264C2×#124—28no—
265C2×#124—28no—
266C2×#124—28no—
267C2×#124—28no—
268C2×#124—44no—
269C2×#124C2318yes—
270C2×#124C2318yes—
271C2×#124C2318yes—
272C2×#124C2318yescomplemented
273C2×#124C2318yescomplemented
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—28no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yescomplemented
285C2×#123C2318yescomplemented
286C2×C22⋊Q8—28no—
287C2×C22⋊Q8—28no—
288C2×C22⋊Q8—28no—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8—44no—
291C2×C22⋊Q8—44no—
292C2×C22⋊Q8C2318yes—
293C2×C22⋊Q8C2318yes—
294C2×C22⋊Q8C2318yescomplemented
295C2×C22⋊Q8C2318yescomplemented
296C2×C22⋊Q8C2318yescomplemented
297C2×C22⋊Q8C2318yescomplemented
298C2×#121—28no—
299C2×#121—28no—
300C2×#121D4116yes—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#120—28no—
305C2×#120—28no—
306C2×#120C2318yes—
307C2×#120C2318yes—
308C2×C4×Q8—28no—
309C2×C4×Q8C2318yescomplemented
310C2×C4×D4—28no—
311C2×C4×D4—28no—
312C2×C4×D4—28no—
313C2×C4×D4C2318yes—
314C2×C4×D4C2318yes—
315C2×C4×D4C2318yescomplemented
316C2×#117—28no—
317C2×#117C2318yescomplemented
318C22×C4⋊C4—44no—
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2318yescomplemented
353C22×C22⋊C4—28no—
354C22×C22⋊C4—28no—
355C22×C22⋊C4—44no—
356C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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⋊C4C2318yes—
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422#399C2318yes—
423#399C2318yes—
424#399C2318yescomplemented
425#399C2318yescomplemented
426#398C2318yescomplemented
427#398C2318yescomplemented
428#398C2318yescomplemented
429#397C2318yes—
430#397C2318yescomplemented
431#397C2318yescomplemented
432#397C2318yescomplemented
433#397C2318yescomplemented
434#397C2318yescomplemented
435#397C2318yescomplemented
436#397C2318yescomplemented
437#397C2318yescomplemented
438#397C2318yescomplemented
439#397C2318yescomplemented
440#396C2318yes—
441#396C2318yes—
442#396C2318yes—
443#396C2318yescomplemented
444#396C2318yescomplemented
445#396C2318yescomplemented
446#395C2318yescomplemented
447#395C2318yescomplemented
448#395C2318yescomplemented
449#395C2318yescomplemented
450#395C2318yescomplemented
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#394C2318yescomplemented
462#394C2318yescomplemented
463#394C2318yescomplemented
464#394C2318yescomplemented
465#393C2318yes—
466#393C2318yes—
467#393C2318yescomplemented
468#393C2318yescomplemented
469#393C2318yescomplemented
470#391C2318yescomplemented
471#390C2318yes—
472#390C2318yes—
473#390C2318yescomplemented
474#389C2318yescomplemented
475#389C2318yescomplemented
476#389C2318yescomplemented
477#389C2318yescomplemented
478#388C2318yes—
479#388C2318yes—
480#388C2318yes—
481#388C2318yes—
482#388C2318yescomplemented
483#388C2318yescomplemented
484#388C2318yescomplemented
485#388C2318yescomplemented
486#388C2318yescomplemented
487#388C2318yescomplemented
488#388C2318yescomplemented
489#388C2318yescomplemented
490#387C2318yescomplemented
491#387C2318yescomplemented
492#387C2318yescomplemented
493#387C2318yescomplemented
494#387C2318yescomplemented
495#387C2318yescomplemented
496#387C2318yescomplemented
497#387C2318yescomplemented
498#386C2318yes—
499#386C2318yes—
500#386C2318yes—
501#386C2318yes—
502#386C2318yescomplemented
503#386C2318yescomplemented
504#386C2318yescomplemented
505#386C2318yescomplemented
506#386C2318yescomplemented
507#386C2318yescomplemented
508#385C2318yes—
509#385C2318yes—
510#385C2318yescomplemented
511#385C2318yescomplemented
512#385C2318yescomplemented
513#385C2318yescomplemented
514#385C2318yescomplemented
515#385C2318yescomplemented
516#385C2318yescomplemented
517#385C2318yescomplemented
518#385C2318yescomplemented
519#385C2318yescomplemented
520#385C2318yescomplemented
521#385C2318yescomplemented
522#385C2318yescomplemented
523#385C2318yescomplemented
524#381C2318yescomplemented
525#381C2318yescomplemented
526#380C2318yescomplemented
527#380C2318yescomplemented
528#380C2318yescomplemented
529#380C2318yescomplemented
530#380C2318yescomplemented
531#379C2318yes—
532#379C2318yes—
533#379C2318yes—
534#379C2318yes—
535#379C2318yes—
536#379C2318yes—
537#379C2318yes—
538C4×C22⋊C4C2318yes—
539C4×C22⋊C4C2318yescomplemented
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
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C25—24no—
575C25—24no—
576C25—24no—
577C25—24no—
578C25—24no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2414yes—
595C25C2414yes—
596C2×#41—232no—
597C2×#41—416no—
598C2×#41—416no—
599C2×#41—464no—
600C22×Q8—24no—
601C22×Q8—24no—
602C22×Q8—24no—
603C22×Q8—24no—
604C22×Q8—24no—
605C22×Q8—42no—
606C22×Q8—42no—
607C22×Q8—42no—
608C22×Q8—42no—
609C22×Q8—42no—
610C22×Q8—42no—
611C22×Q8—42no—
612C22×Q8C2414yes—
613C22×Q8C2414yes—
614C22×Q8C2414yes—
615C22×Q8C2414yes—
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—24no—
625C22×D4—232no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—416no—
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—416no—
643C22×D4—464no—
644C22×D4C2×D418yes—
645C22×D4C2×D418yes—
646C22×D4C2×D418yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C23×C4—24no—
657C23×C4—24no—
658C23×C4—24no—
659C23×C4—24no—
660C23×C4—24no—
661C23×C4—24no—
662C23×C4—24no—
663C23×C4—24no—
664C23×C4—24no—
665C23×C4—24no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
671C23×C4—42no—
672C23×C4—42no—
673C23×C4—42no—
674C23×C4—42no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4C2×D418yes—
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2414yes—
707C23×C4C2414yes—
708C23×C4C2414yes—
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2414yes—
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2414yes—
721C4⋊Q8—232no—
722C4⋊Q8—416no—
723#126—232no—
724#126—232no—
725#124—232no—
726#124—232no—
727#124—232no—
728#124—232no—
729#124—416no—
730#123—232no—
731#123—232no—
732#123—232no—
733#123—232no—
734#123—416no—
735#123—416no—
736C22⋊Q8—232no—
737C22⋊Q8—232no—
738C22⋊Q8—232no—
739C22⋊Q8—232no—
740C22⋊Q8—416no—
741C22⋊Q8—416no—
742#121—232no—
743#121—232no—
744#121C2×D4164yes—
745#120—232no—
746#120—232no—
747C4×Q8—232no—
748C4×D4—232no—
749C4×D4—232no—
750C4×D4—232no—
751#117—232no—
752C2×C4⋊C4—24no—
753C2×C4⋊C4—24no—
754C2×C4⋊C4—24no—
755C2×C4⋊C4—24no—
756C2×C4⋊C4—24no—
757C2×C4⋊C4—24no—
758C2×C4⋊C4—24no—
759C2×C4⋊C4—24no—
760C2×C4⋊C4—24no—
761C2×C4⋊C4—24no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—24no—
764C2×C4⋊C4—24no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4—24no—
767C2×C4⋊C4—24no—
768C2×C4⋊C4—416no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4—42no—
771C2×C4⋊C4—42no—
772C2×C4⋊C4—42no—
773C2×C4⋊C4—42no—
774C2×C4⋊C4—42no—
775C2×C4⋊C4—42no—
776C2×C4⋊C4—42no—
777C2×C4⋊C4—42no—
778C2×C4⋊C4—42no—
779C2×C4⋊C4—42no—
780C2×C4⋊C4—42no—
781C2×C4⋊C4—42no—
782C2×C4⋊C4—42no—
783C2×C4⋊C4—42no—
784C2×C4⋊C4—42no—
785C2×C4⋊C4C2×D418yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—24no—
821C2×C22⋊C4—24no—
822C2×C22⋊C4—24no—
823C2×C22⋊C4—24no—
824C2×C22⋊C4—24no—
825C2×C22⋊C4—24no—
826C2×C22⋊C4—24no—
827C2×C22⋊C4—24no—
828C2×C22⋊C4—24no—
829C2×C22⋊C4—24no—
830C2×C22⋊C4—24no—
831C2×C22⋊C4—24no—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—232no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—232no—
847C2×C22⋊C4—416no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4C2×D418yes—
877C2×C22⋊C4C2×D418yes—
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×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C42—24no—
935C2×C42—24no—
936C2×C42—24no—
937C2×C42—24no—
938C2×C42—24no—
939C2×C42—42no—
940C2×C42—42no—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
946C2×C42C2414yes—
947C2×C42C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
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—22no—
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—28no—
1020C24—28no—
1021C24—28no—
1022C24—28no—
1023C24—28no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
1027C24—44no—
1028C24—44no—
1029C24—44no—
1030C24—44no—
1031C24—44no—
1032C24—44no—
1033C24—416no—
1034C24—416no—
1035C24—416no—
1036C24—416no—
1037C24—416no—
1038C24—88no—
1039C24—88no—
1040C24—88no—
1041C24—88no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24C22×D414yes—
1048C24C22×D414yes—
1049C24C22×D414yes—
1050C24H(5,𝔽2)14yes—
1051C242−1+414yes—
1052C24C2512yes—
1053C24C2512yes—
1054C24C2512yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2511yescharacteristic
1059#41—4128no—
1060C2×Q8—28no—
1061C2×Q8—28no—
1062C2×Q8—28no—
1063C2×Q8—28no—
1064C2×Q8—28no—
1065C2×Q8—44no—
1066C2×Q8—44no—
1067C2×Q8—44no—
1068C2×Q8—44no—
1069C2×Q8—44no—
1070C2×Q8—44no—
1071C2×Q8—44no—
1072C2×Q8—416no—
1073C2×Q8—416no—
1074C2×Q8—88no—
1075C2×Q8—88no—
1076C2×D4—232no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—416no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—416no—
1095C2×D4—416no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—44no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—416no—
1103C2×D4—416no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—4128no—
1107C2×D4—416no—
1108C2×D4—416no—
1109C2×D4—88no—
1110C2×D4C22×D4116yes—
1111C2×D4C22×D4116yes—
1112C2×D4C22×D4116yes—
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—28no—
1136C22×C4—28no—
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—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—28no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
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—28no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—28no—
1193C22×C4—44no—
1194C22×C4—416no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C4—416no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—416no—
1215C22×C4—416no—
1216C22×C4—416no—
1217C22×C4—416no—
1218C22×C4—88no—
1219C22×C4—88no—
1220C22×C4—88no—
1221C22×C4—88no—
1222C22×C4C22×D414yes—
1223C22×C4C22×D414yes—
1224C22×C4C22×D414yes—
1225C22×C4C22×D414yes—
1226C22×C4C22×D4116yes—
1227C22×C4H(5,𝔽2)14yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—28no—
1267C4⋊C4—28no—
1268C4⋊C4—28no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4C22×D4116yes—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—28no—
1305C22⋊C4—28no—
1306C22⋊C4—28no—
1307C22⋊C4—28no—
1308C22⋊C4—28no—
1309C22⋊C4—28no—
1310C22⋊C4—28no—
1311C22⋊C4—28no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4C22×D4116yes—
1341C22⋊C4C22×D4116yes—
1342C42—28no—
1343C42—28no—
1344C42—28no—
1345C42—28no—
1346C42—28no—
1347C42—44no—
1348C42—44no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—22no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—28no—
1380C23—28no—
1381C23—28no—
1382C23—28no—
1383C23—28no—
1384C23—28no—
1385C23—28no—
1386C23—28no—
1387C23—28no—
1388C23—28no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—416no—
1402C23—416no—
1403C23—416no—
1404C23—416no—
1405C23—416no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
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—88no—
1434C23—88no—
1435C23—88no—
1436C23—88no—
1437C23—88no—
1438C23—88no—
1439C23—88no—
1440C23—88no—
1441C23—88no—
1442C23—864no—
1443C23—864no—
1444C23C23×D414yes—
1445C23C23×D414yes—
1446C23C23×D414yes—
1447C23C23×D412yes—
1448C23C2×H(5,𝔽2)14yes—
1449C23C2×H(5,𝔽2)12yes—
1450C23C2×H(5,𝔽2)12yes—
1451C23C2×2−1+414yes—
1452C23C2×2−1+412yes—
1453C23#58512yes—
1454C23#58512yes—
1455C23#58512yes—
1456C23C2611yescharacteristic
1457Q8—416no—
1458Q8—416no—
1459Q8—88no—
1460Q8—88no—
1461D4—232no—
1462D4—416no—
1463D4—416no—
1464D4—416no—
1465D4—416no—
1466D4—416no—
1467D4—416no—
1468D4—416no—
1469D4—88no—
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—28no—
1481C2×C4—28no—
1482C2×C4—28no—
1483C2×C4—28no—
1484C2×C4—28no—
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—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
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—416no—
1546C2×C4—416no—
1547C2×C4—416no—
1548C2×C4—416no—
1549C2×C4—416no—
1550C2×C4—416no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—44no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—88no—
1572C2×C4—88no—
1573C2×C4—88no—
1574C2×C4—88no—
1575C2×C4C23×D414yes—
1576C2×C4C23×D414yes—
1577C2×C4C23×D414yes—
1578C2×C4C23×D414yes—
1579C2×C4C2×H(5,𝔽2)14yes—
1580C22—24no—
1581C22—24no—
1582C22—24no—
1583C22—24no—
1584C22—24no—
1585C22—24no—
1586C22—24no—
1587C22—24no—
1588C22—24no—
1589C22—24no—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—24no—
1594C22—24no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—416no—
1615C22—416no—
1616C22—416no—
1617C22—416no—
1618C22—416no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—832no—
1628C22—832no—
1629C22—88no—
1630C22#348414yes—
1631C22#348514yes—
1632C22#348914yes—
1633C22#353514yes—
1634C22#354014yes—
1635C22#356014yes—
1636C22#356114yes—
1637C22C24×D411yescharacteristic
1638C22C22×H(5,𝔽2)11yescharacteristic
1639C22C22×H(5,𝔽2)11yescharacteristic
1640C22C22×2−1+411yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22C2×#58511yescharacteristic
1643C22C2×#58511yescharacteristic
1644C4—24no—
1645C4—24no—
1646C4—24no—
1647C4—24no—
1648C4—24no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—42no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C2—44no—
1670C2—44no—
1671C2—44no—
1672C2—44no—
1673C2—44no—
1674C2—82no—
1675C2#5152618yesdirect product factor
1676C2C2×#353511yescharacteristic
1677C2C2×#354011yescharacteristic
1678C2C2×#356111yescharacteristic
1679C2C2×#356011yescharacteristic
1680C2C2×#348411yescharacteristic
1681C2C2×#348511yescharacteristic
1682C2C2×#348911yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#546C2
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×#542C2semidirect
3. C2×#2724C2semidirect
4. C2×#2717C2semidirect
5. C2×#2715C2semidirect
6. C2×#2697C2semidirect
7. C2×#2691C2semidirect
8. C2×#2686C2semidirect
9. C2×#2684C2semidirect
10. C2×#2684C2semidirect
11. C2×#2677C2semidirect
12. C2×#2674C2semidirect
13. C2×#2674C2semidirect
14. C2×#2672C2semidirect
15. #51526C2direct (N × H)
16. C2×#2482C2semidirect
17. C2×#2485C2semidirect
18. C2×#2406C2semidirect
19. C2×#2432C2semidirect
20. C2×#2458C2semidirect
21. C2×#2435C2semidirect
22. C2×#2465C2semidirect
23. C2×#2466C2semidirect
24. C2×#2480C2semidirect
25. C2×#2405C2semidirect
26. C2×#2449C2semidirect
27. C2×#2443C2semidirect
28. C2×#2418C2semidirect
29. C2×#2437C2semidirect
30. C2×#2638C2semidirect
31. C2×#2626C2semidirect
32. C2×#2377C2semidirect
38. C2×#542C22semidirect
39. C22×C4⋊Q8C22semidirect
40. C22×C4⋊Q8C22semidirect
41. C22×#126C22semidirect
42. C22×#126C22semidirect
46. C22×#124C22semidirect
47. C22×#124C22semidirect
52. C22×#123C22semidirect
53. C22×#123C22semidirect
56. C22×C22⋊Q8C22semidirect
57. C22×C22⋊Q8C22semidirect
58. C22×C22⋊Q8C22semidirect
59. C22×C22⋊Q8C22semidirect
65. C22×C4×Q8C22semidirect
68. C22×C4×D4C22semidirect
69. C22×#117C22semidirect
70. C23×C4⋊C4C22semidirect
74. #2724C22semidirect
75. #2717C22semidirect
76. #2715C22semidirect
77. #2697C22semidirect
78. #2691C22semidirect
79. #2686C22semidirect
80. #2684C22semidirect
81. #2684C22semidirect
82. #2677C22semidirect
83. #2674C22semidirect
84. #2674C22semidirect
85. #2672C22semidirect
86. #2638C22semidirect
87. #2626C22semidirect
88. #2485C22semidirect
89. #2482C22semidirect
90. #2480C22semidirect
91. #2466C22semidirect
92. #2465C22semidirect
93. #2458C22semidirect
94. #2449C22semidirect
95. #2443C22semidirect
96. #2437C22semidirect
97. #2435C22semidirect
98. #2432C22semidirect
99. #2418C22semidirect
100. #2406C22semidirect
101. #2405C22semidirect
104. C2×#399C22semidirect
105. C2×#399C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
119. C2×#397C22semidirect
123. C2×#396C22semidirect
124. C2×#396C22semidirect
125. C2×#396C22semidirect
126. C2×#395C22semidirect
127. C2×#395C22semidirect
128. C2×#395C22semidirect
129. C2×#395C22semidirect
130. C2×#395C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
144. C2×#394C22semidirect
147. C2×#393C22semidirect
148. C2×#393C22semidirect
149. C2×#393C22semidirect
150. #2377C22semidirect
151. C2×#391C22semidirect
154. C2×#390C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
157. C2×#389C22semidirect
158. 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×#388C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#381C22semidirect
206. C2×#381C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
220. C2×C4×C22⋊C4C22semidirect
258. C2×C4⋊Q8C23semidirect
259. C2×C4⋊Q8C23semidirect
262. C2×#126C23semidirect
263. C2×#126C23semidirect
272. C2×#124C23semidirect
273. C2×#124C23semidirect
284. C2×#123C23semidirect
285. C2×#123C23semidirect
294. C2×C22⋊Q8C23semidirect
295. C2×C22⋊Q8C23semidirect
296. C2×C22⋊Q8C23semidirect
297. C2×C22⋊Q8C23semidirect
309. C2×C4×Q8C23semidirect
315. C2×C4×D4C23semidirect
317. C2×#117C23semidirect
352. C22×C4⋊C4C23semidirect
424. #399C23semidirect
425. #399C23semidirect
426. #398C23semidirect
427. #398C23semidirect
428. #398C23semidirect
430. #397C23semidirect
431. #397C23semidirect
432. #397C23semidirect
433. #397C23semidirect
434. #397C23semidirect
435. #397C23semidirect
436. #397C23semidirect
437. #397C23semidirect
438. #397C23semidirect
439. #397C23semidirect
443. #396C23semidirect
444. #396C23semidirect
445. #396C23semidirect
446. #395C23semidirect
447. #395C23semidirect
448. #395C23semidirect
449. #395C23semidirect
450. #395C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
467. #393C23semidirect
468. #393C23semidirect
469. #393C23semidirect
470. #391C23semidirect
473. #390C23semidirect
474. #389C23semidirect
475. #389C23semidirect
476. #389C23semidirect
477. #389C23semidirect
482. #388C23semidirect
483. #388C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #387C23semidirect
491. #387C23semidirect
492. #387C23semidirect
493. #387C23semidirect
494. #387C23semidirect
495. #387C23semidirect
496. #387C23semidirect
497. #387C23semidirect
502. #386C23semidirect
503. #386C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
507. #386C23semidirect
510. #385C23semidirect
511. #385C23semidirect
512. #385C23semidirect
513. #385C23semidirect
514. #385C23semidirect
515. #385C23semidirect
516. #385C23semidirect
517. #385C23semidirect
518. #385C23semidirect
519. #385C23semidirect
520. #385C23semidirect
521. #385C23semidirect
522. #385C23semidirect
523. #385C23semidirect
524. #381C23semidirect
525. #381C23semidirect
526. #380C23semidirect
527. #380C23semidirect
528. #380C23semidirect
529. #380C23semidirect
530. #380C23semidirect
539. C4×C22⋊C4C23semidirect
1675. C2#51526direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5462
C22×#5422
C2×#27242
C2×#27172
C2×#27152
C2×#26972
C2×#26912
C2×#26862
C2×#26842
C2×#26772
C2×#26742
C2×#26722
#515262
C2×#24822
C2×#24852
C2×#24062
C2×#24322
C2×#24582
C2×#24352
C2×#24652
C2×#24662
C2×#24802
C2×#24052
C2×#24492
C2×#24432
C2×#24182
C2×#24372
C2×#26382
C2×#26262
C2×#23772