Finite Group Databasebeta

← C2×#46381 #7700549

Subgroups — C2×#46381 #7700549

Order 512.

8468 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#538C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2727C211yesmaximal, characteristic, complemented
4C2×#2718C211yesmaximal, characteristic, complemented
5C2×#2715C211yesmaximal, characteristic, complemented
6C2×#2712C211yesmaximal, characteristic, complemented
7C2×#2710C211yesmaximal, characteristic, complemented
8C2×#2702C211yesmaximal, characteristic, complemented
9C2×#2701C211yesmaximal, characteristic, complemented
10C2×#2684C211yesmaximal, characteristic, complemented
11C2×#2679C211yesmaximal, characteristic, complemented
12C2×#2678C211yesmaximal, characteristic, complemented
13C2×#2678C211yesmaximal, characteristic, complemented
14C2×#2668C211yesmaximal, characteristic, complemented
15#46381C2132yesmaximal, direct product factor
16C2×#2814C211yesmaximal, characteristic, complemented
17C2×#2560C211yesmaximal, characteristic, complemented
18C2×#2534C211yesmaximal, characteristic, complemented
19C2×#2512C211yesmaximal, characteristic, complemented
20C2×#2411C211yesmaximal, characteristic, complemented
21C2×#2415C211yesmaximal, characteristic, complemented
22C2×#2447C211yesmaximal, characteristic, complemented
23C2×#2422C211yesmaximal, characteristic, complemented
24C2×#2461C211yesmaximal, characteristic, complemented
25C2×#2444C211yesmaximal, characteristic, complemented
26C2×#2425C211yesmaximal, characteristic, complemented
27C2×#2425C211yesmaximal, characteristic, complemented
28C2×#2472C211yesmaximal, characteristic, complemented
29C2×#2412C211yesmaximal, characteristic, complemented
30C2×#2424C211yesmaximal, characteristic, complemented
31C2×#2418C211yesmaximal, characteristic, complemented
32C2×#2324C211yesmaximal, characteristic, complemented
33C2×#538—216no—
34C2×#538—216no—
35C2×#538C22116yescomplemented
36C2×#538C22116yescomplemented
37C22×#126C2211yescharacteristic, complemented
38C22×#126C2211yescharacteristic, complemented
39C22×#126C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic, complemented
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×#123C2211yescharacteristic, complemented
51C22×#123C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic, complemented
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic, complemented
68C22×#120C2211yescharacteristic, complemented
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic, complemented
72C22×C4×D4C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic, complemented
74C22×#117C2211yescharacteristic, complemented
75C23×C22⋊C4C2211yescharacteristic, complemented
76C23×C22⋊C4C2211yescharacteristic, complemented
77C23×C22⋊C4C2211yescharacteristic, complemented
78#2814C22116yescomplemented
79#2727C22116yescomplemented
80#2718C22116yescomplemented
81#2715C22116yescomplemented
82#2712C22116yescomplemented
83#2710C22116yescomplemented
84#2702C22116yescomplemented
85#2701C22116yescomplemented
86#2684C22116yescomplemented
87#2679C22116yescomplemented
88#2678C22116yescomplemented
89#2678C22116yescomplemented
90#2668C22116yescomplemented
91#2560C22116yescomplemented
92#2534C22116yescomplemented
93#2512C22116yescomplemented
94#2472C22116yescomplemented
95#2461C22116yescomplemented
96#2447C22116yescomplemented
97#2444C22116yescomplemented
98#2425C22116yescomplemented
99#2425C22116yescomplemented
100#2424C22116yescomplemented
101#2422C22116yescomplemented
102#2418C22116yescomplemented
103#2415C22116yescomplemented
104#2412C22116yescomplemented
105#2411C22116yescomplemented
106C2×#400C2211yescharacteristic, complemented
107C2×#399C2211yescharacteristic, complemented
108C2×#399C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, 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×#397C2211yescharacteristic, complemented
121C2×#397C2211yescharacteristic, complemented
122C2×#397C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#396C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#396C2211yescharacteristic, complemented
129C2×#396C2211yescharacteristic, 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
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic
145C2×#394C2211yescharacteristic
146C2×#394C2211yescharacteristic, complemented
147C2×#394C2211yescharacteristic, complemented
148C2×#393C2211yescharacteristic, complemented
149C2×#393C2211yescharacteristic, complemented
150C2×#393C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154#2324C22116yescomplemented
155C2×#391C2211yescharacteristic, complemented
156C2×#391C2211yescharacteristic, complemented
157C2×#391C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic, complemented
165C2×#390C2211yescharacteristic, complemented
166C2×#389C2211yescharacteristic, complemented
167C2×#389C2211yescharacteristic, complemented
168C2×#389C2211yescharacteristic, complemented
169C2×#389C2211yescharacteristic, complemented
170C2×#389C2211yescharacteristic, complemented
171C2×#389C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, complemented
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#384C2211yescharacteristic, complemented
208C2×#381C2211yescharacteristic, complemented
209C2×#381C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×#379C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic, complemented
217C2×C4×C4⋊C4C2211yescharacteristic, complemented
218C2×C4×C4⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249#538—2128no—
250#538—2128no—
251C2×#126—28no—
252C2×#126—28no—
253C2×#126—28no—
254C2×#126—28no—
255C2×#126C2318yescomplemented
256C2×#126C2318yescomplemented
257C2×#126C2318yescomplemented
258C2×#126C2318yescomplemented
259C2×#124—28no—
260C2×#124—28no—
261C2×#124—28no—
262C2×#124—28no—
263C2×#124C2318yes—
264C2×#124C2318yes—
265C2×#124C2318yescomplemented
266C2×#124C2318yescomplemented
267C2×#123—28no—
268C2×#123—28no—
269C2×#123—28no—
270C2×#123—28no—
271C2×#123—44no—
272C2×#123—44no—
273C2×#123—44no—
274C2×#123C2318yes—
275C2×#123C2318yes—
276C2×#123C2318yes—
277C2×#123C2318yescomplemented
278C2×#123C2318yescomplemented
279C2×#123C2318yescomplemented
280C2×#123C2318yescomplemented
281C2×C22⋊Q8—28no—
282C2×C22⋊Q8—28no—
283C2×C22⋊Q8—44no—
284C2×C22⋊Q8C2318yescomplemented
285C2×C22⋊Q8C2318yescomplemented
286C2×C22⋊Q8C2318yescomplemented
287C2×#121—28no—
288C2×#121—28no—
289C2×#121—28no—
290C2×#121—28no—
291C2×#121—44no—
292C2×#121D4116yescomplemented
293C2×#121C2318yes—
294C2×#121C2318yes—
295C2×#121C2318yes—
296C2×#121C2318yes—
297C2×#121C2318yes—
298C2×#121C2318yes—
299C2×#120—28no—
300C2×#120—28no—
301C2×#120—28no—
302C2×#120—28no—
303C2×#120—44no—
304C2×#120—44no—
305C2×#120—44no—
306C2×#120—44no—
307C2×#120C2318yes—
308C2×#120C2318yes—
309C2×#120C2318yes—
310C2×#120C2318yes—
311C2×#120C2318yes—
312C2×#120C2318yes—
313C2×#120C2318yescomplemented
314C2×#120C2318yescomplemented
315C2×C4×D4—28no—
316C2×C4×D4—28no—
317C2×C4×D4—28no—
318C2×C4×D4—28no—
319C2×C4×D4—44no—
320C2×C4×D4C2318yes—
321C2×C4×D4C2318yes—
322C2×C4×D4C2318yescomplemented
323C2×C4×D4C2318yescomplemented
324C2×C4×D4C2318yescomplemented
325C2×#117—44no—
326C2×#117C2318yescomplemented
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⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C22⋊C4—28no—
357C22×C22⋊C4—28no—
358C22×C22⋊C4—44no—
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⋊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⋊C4C2318yescomplemented
420C22×C22⋊C4C2318yescomplemented
421C22×C22⋊C4C2318yescomplemented
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430#400C2318yescomplemented
431#399C2318yescomplemented
432#399C2318yescomplemented
433#398C2318yescomplemented
434#398C2318yescomplemented
435#398C2318yescomplemented
436#397C2318yescomplemented
437#397C2318yescomplemented
438#397C2318yescomplemented
439#397C2318yescomplemented
440#397C2318yescomplemented
441#397C2318yescomplemented
442#397C2318yescomplemented
443#397C2318yescomplemented
444#397C2318yescomplemented
445#397C2318yescomplemented
446#397C2318yescomplemented
447#396C2318yescomplemented
448#396C2318yescomplemented
449#396C2318yescomplemented
450#396C2318yescomplemented
451#396C2318yescomplemented
452#396C2318yescomplemented
453#396C2318yescomplemented
454#395C2318yescomplemented
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#394C2318yes—
462#394C2318yes—
463#394C2318yes—
464#394C2318yes—
465#394C2318yes—
466#394C2318yes—
467#394C2318yes—
468#394C2318yes—
469#394C2318yes—
470#394C2318yescomplemented
471#394C2318yescomplemented
472#393C2318yescomplemented
473#393C2318yescomplemented
474#393C2318yescomplemented
475#392C2318yes—
476#392C2318yes—
477#392C2318yes—
478#391C2318yescomplemented
479#391C2318yescomplemented
480#391C2318yescomplemented
481#390C2318yes—
482#390C2318yes—
483#390C2318yes—
484#390C2318yes—
485#390C2318yes—
486#390C2318yes—
487#390C2318yescomplemented
488#390C2318yescomplemented
489#389C2318yescomplemented
490#389C2318yescomplemented
491#389C2318yescomplemented
492#389C2318yescomplemented
493#389C2318yescomplemented
494#389C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#388C2318yescomplemented
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#387C2318yescomplemented
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yescomplemented
519#386C2318yescomplemented
520#386C2318yescomplemented
521#386C2318yescomplemented
522#386C2318yescomplemented
523#385C2318yescomplemented
524#385C2318yescomplemented
525#385C2318yescomplemented
526#385C2318yescomplemented
527#385C2318yescomplemented
528#385C2318yescomplemented
529#385C2318yescomplemented
530#384C2318yescomplemented
531#381C2318yescomplemented
532#381C2318yescomplemented
533#380C2318yescomplemented
534#380C2318yescomplemented
535#380C2318yescomplemented
536#380C2318yescomplemented
537#379C2318yescomplemented
538#379C2318yescomplemented
539#379C2318yescomplemented
540C4×C4⋊C4C2318yescomplemented
541C4×C4⋊C4C2318yescomplemented
542C4×C22⋊C4C2318yescomplemented
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×#95C2318yescomplemented
574C25—24no—
575C25—24no—
576C25—24no—
577C25—42no—
578C25—42no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2414yes—
596C25C2414yes—
597C22×Q8—24no—
598C22×Q8—24no—
599C22×Q8—42no—
600C22×Q8—42no—
601C22×Q8—42no—
602C22×Q8—42no—
603C22×Q8C2414yes—
604C22×Q8C2414yes—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
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—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
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×D4C2×D418yes—
648C22×D4C2×D418yes—
649C22×D4C2×D418yes—
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C23×C4—24no—
666C23×C4—24no—
667C23×C4—24no—
668C23×C4—24no—
669C23×C4—24no—
670C23×C4—24no—
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×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4C2×D418yes—
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×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2414yes—
717C23×C4C2414yes—
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2414yes—
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2414yes—
724C23×C4C2414yes—
725#126—232no—
726#126—232no—
727#126—232no—
728#126—232no—
729#124—232no—
730#124—232no—
731#124—232no—
732#124—232no—
733#123—232no—
734#123—232no—
735#123—232no—
736#123—232no—
737#123—416no—
738#123—416no—
739#123—416no—
740C22⋊Q8—232no—
741C22⋊Q8—232no—
742C22⋊Q8—416no—
743#121—232no—
744#121—232no—
745#121—232no—
746#121—232no—
747#121—416no—
748#121C2×D4164yescomplemented
749#120—232no—
750#120—232no—
751#120—232no—
752#120—232no—
753#120—416no—
754#120—416no—
755#120—416no—
756#120—416no—
757C4×D4—232no—
758C4×D4—232no—
759C4×D4—232no—
760C4×D4—232no—
761C4×D4—416no—
762#117—416no—
763C2×C4⋊C4—24no—
764C2×C4⋊C4—24no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4—24no—
767C2×C4⋊C4—24no—
768C2×C4⋊C4—24no—
769C2×C4⋊C4—24no—
770C2×C4⋊C4—24no—
771C2×C4⋊C4—24no—
772C2×C4⋊C4—24no—
773C2×C4⋊C4—24no—
774C2×C4⋊C4—24no—
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⋊C4—42no—
786C2×C4⋊C4—42no—
787C2×C4⋊C4—42no—
788C2×C4⋊C4—42no—
789C2×C4⋊C4—42no—
790C2×C4⋊C4—42no—
791C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
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—232no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—24no—
855C2×C22⋊C4—232no—
856C2×C22⋊C4—416no—
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⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4C2×D418yes—
883C2×C22⋊C4C2×D418yes—
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×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×C42—24no—
945C2×C42—24no—
946C2×C42—24no—
947C2×C42—24no—
948C2×C42—24no—
949C2×C42—42no—
950C2×C42—42no—
951C2×C42—42no—
952C2×C42C2414yes—
953C2×C42C2414yes—
954C2×C42C2414yes—
955C2×C42C2414yes—
956C2×C42C2414yes—
957C2×C42C2414yes—
958C2×C42C2414yes—
959C2×C42C2414yes—
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—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
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—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—28no—
1036C24—28no—
1037C24—28no—
1038C24—44no—
1039C24—44no—
1040C24—44no—
1041C24—44no—
1042C24—44no—
1043C24—44no—
1044C24—44no—
1045C24—44no—
1046C24—44no—
1047C24—44no—
1048C24—44no—
1049C24—416no—
1050C24—416no—
1051C24—416no—
1052C24—88no—
1053C24—88no—
1054C24—88no—
1055C24—88no—
1056C24—88no—
1057C24—88no—
1058C24—88no—
1059C24—88no—
1060C24—88no—
1061C24—88no—
1062C24—88no—
1063C24C22×D414yes—
1064C24C22×D414yes—
1065C24C22×D414yes—
1066C24H(5,𝔽2)14yes—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2512yes—
1070C24C2512yes—
1071C24C2512yes—
1072C24C2512yes—
1073C24C2512yes—
1074C24C2511yescharacteristic
1075C2×Q8—28no—
1076C2×Q8—28no—
1077C2×Q8—44no—
1078C2×Q8—44no—
1079C2×Q8—44no—
1080C2×Q8—44no—
1081C2×Q8—88no—
1082C2×Q8—88no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—44no—
1097C2×D4—416no—
1098C2×D4—416no—
1099C2×D4—416no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
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—44no—
1118C2×D4—44no—
1119C2×D4—44no—
1120C2×D4—44no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—416no—
1129C2×D4—416no—
1130C2×D4—88no—
1131C2×D4—88no—
1132C2×D4—88no—
1133C2×D4—88no—
1134C2×D4—88no—
1135C2×D4—88no—
1136C2×D4—88no—
1137C2×D4—88no—
1138C2×D4—88no—
1139C2×D4—88no—
1140C2×D4C22×D4116yes—
1141C2×D4C22×D4116yes—
1142C2×D4C22×D4116yes—
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—22no—
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—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—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—28no—
1211C22×C4—28no—
1212C22×C4—28no—
1213C22×C4—28no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—44no—
1217C22×C4—416no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—44no—
1222C22×C4—44no—
1223C22×C4—44no—
1224C22×C4—44no—
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—44no—
1236C22×C4—44no—
1237C22×C4—88no—
1238C22×C4—88no—
1239C22×C4—88no—
1240C22×C4—88no—
1241C22×C4—88no—
1242C22×C4—88no—
1243C22×C4—88no—
1244C22×C4—88no—
1245C22×C4C22×D414yes—
1246C22×C4C22×D414yes—
1247C22×C4C22×D414yes—
1248C22×C4C22×D414yes—
1249C22×C4C22×D4116yes—
1250C22×C4H(5,𝔽2)14yes—
1251C22×C4C2512yes—
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—
1275C4⋊C4—28no—
1276C4⋊C4—28no—
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—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4C22×D4116yes—
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—28no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
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—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
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—28no—
1367C42—28no—
1368C42—28no—
1369C42—44no—
1370C42—44no—
1371C42—44no—
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—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—28no—
1397C23—28no—
1398C23—28no—
1399C23—28no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—416no—
1430C23—416no—
1431C23—416no—
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—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—88no—
1470C23—88no—
1471C23—88no—
1472C23—88no—
1473C23—88no—
1474C23—88no—
1475C23—88no—
1476C23—88no—
1477C23—88no—
1478C23—88no—
1479C23—88no—
1480C23—864no—
1481C23—864no—
1482C23C23×D414yes—
1483C23C23×D414yes—
1484C23C23×D414yes—
1485C23C23×D412yes—
1486C23C2×H(5,𝔽2)14yes—
1487C23C2×H(5,𝔽2)12yes—
1488C23C2×H(5,𝔽2)12yes—
1489C23#58512yes—
1490C23#58512yes—
1491C23#58512yes—
1492C23#58512yes—
1493C23C2611yescharacteristic
1494Q8—88no—
1495Q8—88no—
1496D4—416no—
1497D4—416no—
1498D4—416no—
1499D4—416no—
1500D4—416no—
1501D4—88no—
1502D4—88no—
1503D4—88no—
1504D4—88no—
1505D4—88no—
1506D4—88no—
1507D4—88no—
1508D4—88no—
1509D4—88no—
1510D4—88no—
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—28no—
1522C2×C4—28no—
1523C2×C4—28no—
1524C2×C4—28no—
1525C2×C4—28no—
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—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—416no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—88no—
1604C2×C4—88no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4C23×D414yes—
1612C2×C4C23×D414yes—
1613C2×C4C23×D414yes—
1614C2×C4C23×D414yes—
1615C2×C4C2×H(5,𝔽2)14yes—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—24no—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—416no—
1644C22—416no—
1645C22—416no—
1646C22—416no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—832no—
1670C22—832no—
1671C22—88no—
1672C22—88no—
1673C22—88no—
1674C22#348514yes—
1675C22#348814yes—
1676C22#349614yes—
1677C22#353314yes—
1678C22#355814yes—
1679C22#356014yes—
1680C22#356814yes—
1681C22C24×D411yescharacteristic
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C4—24no—
1689C4—24no—
1690C4—24no—
1691C4—24no—
1692C4—24no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C2—44no—
1713C2—44no—
1714C2—44no—
1715C2—44no—
1716C2—82no—
1717C2—82no—
1718C2—82no—
1719C2#4638118yesdirect product factor
1720C2C2×#353311yescharacteristic
1721C2C2×#355811yescharacteristic
1722C2C2×#356011yescharacteristic
1723C2C2×#356811yescharacteristic
1724C2C2×#349611yescharacteristic
1725C2C2×#348511yescharacteristic
1726C2C2×#348811yescharacteristic
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×#538C2semidirect
2. C22×#538C2semidirect
3. C2×#2727C2semidirect
4. C2×#2718C2semidirect
5. C2×#2715C2semidirect
6. C2×#2712C2semidirect
7. C2×#2710C2semidirect
8. C2×#2702C2semidirect
9. C2×#2701C2semidirect
10. C2×#2684C2semidirect
11. C2×#2679C2semidirect
12. C2×#2678C2semidirect
13. C2×#2678C2semidirect
14. C2×#2668C2semidirect
15. #46381C2direct (N × H)
16. C2×#2814C2semidirect
17. C2×#2560C2semidirect
18. C2×#2534C2semidirect
19. C2×#2512C2semidirect
20. C2×#2411C2semidirect
21. C2×#2415C2semidirect
22. C2×#2447C2semidirect
23. C2×#2422C2semidirect
24. C2×#2461C2semidirect
25. C2×#2444C2semidirect
26. C2×#2425C2semidirect
27. C2×#2425C2semidirect
28. C2×#2472C2semidirect
29. C2×#2412C2semidirect
30. C2×#2424C2semidirect
31. C2×#2418C2semidirect
32. C2×#2324C2semidirect
35. C2×#538C22semidirect
36. C2×#538C22semidirect
37. C22×#126C22semidirect
38. C22×#126C22semidirect
39. C22×#126C22semidirect
40. C22×#126C22semidirect
43. C22×#124C22semidirect
44. C22×#124C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
50. C22×#123C22semidirect
51. C22×#123C22semidirect
52. C22×C22⋊Q8C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
67. C22×#120C22semidirect
68. C22×#120C22semidirect
71. C22×C4×D4C22semidirect
72. C22×C4×D4C22semidirect
73. C22×C4×D4C22semidirect
74. C22×#117C22semidirect
75. C23×C22⋊C4C22semidirect
76. C23×C22⋊C4C22semidirect
77. C23×C22⋊C4C22semidirect
78. #2814C22semidirect
79. #2727C22semidirect
80. #2718C22semidirect
81. #2715C22semidirect
82. #2712C22semidirect
83. #2710C22semidirect
84. #2702C22semidirect
85. #2701C22semidirect
86. #2684C22semidirect
87. #2679C22semidirect
88. #2678C22semidirect
89. #2678C22semidirect
90. #2668C22semidirect
91. #2560C22semidirect
92. #2534C22semidirect
93. #2512C22semidirect
94. #2472C22semidirect
95. #2461C22semidirect
96. #2447C22semidirect
97. #2444C22semidirect
98. #2425C22semidirect
99. #2425C22semidirect
100. #2424C22semidirect
101. #2422C22semidirect
102. #2418C22semidirect
103. #2415C22semidirect
104. #2412C22semidirect
105. #2411C22semidirect
106. C2×#400C22semidirect
107. C2×#399C22semidirect
108. C2×#399C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
119. C2×#397C22semidirect
120. C2×#397C22semidirect
121. C2×#397C22semidirect
122. C2×#397C22semidirect
123. C2×#396C22semidirect
124. C2×#396C22semidirect
125. C2×#396C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#396C22semidirect
129. C2×#396C22semidirect
130. C2×#395C22semidirect
146. C2×#394C22semidirect
147. C2×#394C22semidirect
148. C2×#393C22semidirect
149. C2×#393C22semidirect
150. C2×#393C22semidirect
154. #2324C22semidirect
155. C2×#391C22semidirect
156. C2×#391C22semidirect
157. C2×#391C22semidirect
164. C2×#390C22semidirect
165. C2×#390C22semidirect
166. C2×#389C22semidirect
167. C2×#389C22semidirect
168. C2×#389C22semidirect
169. C2×#389C22semidirect
170. C2×#389C22semidirect
171. C2×#389C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#387C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#384C22semidirect
208. C2×#381C22semidirect
209. C2×#381C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
214. C2×#379C22semidirect
215. C2×#379C22semidirect
216. C2×#379C22semidirect
217. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C4⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
255. C2×#126C23semidirect
256. C2×#126C23semidirect
257. C2×#126C23semidirect
258. C2×#126C23semidirect
265. C2×#124C23semidirect
266. C2×#124C23semidirect
277. C2×#123C23semidirect
278. C2×#123C23semidirect
279. C2×#123C23semidirect
280. C2×#123C23semidirect
284. C2×C22⋊Q8C23semidirect
285. C2×C22⋊Q8C23semidirect
286. C2×C22⋊Q8C23semidirect
292. C2×#121D4semidirect
313. C2×#120C23semidirect
314. C2×#120C23semidirect
322. C2×C4×D4C23semidirect
323. C2×C4×D4C23semidirect
324. C2×C4×D4C23semidirect
326. C2×#117C23semidirect
419. C22×C22⋊C4C23semidirect
420. C22×C22⋊C4C23semidirect
421. C22×C22⋊C4C23semidirect
430. #400C23semidirect
431. #399C23semidirect
432. #399C23semidirect
433. #398C23semidirect
434. #398C23semidirect
435. #398C23semidirect
436. #397C23semidirect
437. #397C23semidirect
438. #397C23semidirect
439. #397C23semidirect
440. #397C23semidirect
441. #397C23semidirect
442. #397C23semidirect
443. #397C23semidirect
444. #397C23semidirect
445. #397C23semidirect
446. #397C23semidirect
447. #396C23semidirect
448. #396C23semidirect
449. #396C23semidirect
450. #396C23semidirect
451. #396C23semidirect
452. #396C23semidirect
453. #396C23semidirect
454. #395C23semidirect
470. #394C23semidirect
471. #394C23semidirect
472. #393C23semidirect
473. #393C23semidirect
474. #393C23semidirect
478. #391C23semidirect
479. #391C23semidirect
480. #391C23semidirect
487. #390C23semidirect
488. #390C23semidirect
489. #389C23semidirect
490. #389C23semidirect
491. #389C23semidirect
492. #389C23semidirect
493. #389C23semidirect
494. #389C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #388C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #387C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #386C23semidirect
523. #385C23semidirect
524. #385C23semidirect
525. #385C23semidirect
526. #385C23semidirect
527. #385C23semidirect
528. #385C23semidirect
529. #385C23semidirect
530. #384C23semidirect
531. #381C23semidirect
532. #381C23semidirect
533. #380C23semidirect
534. #380C23semidirect
535. #380C23semidirect
536. #380C23semidirect
537. #379C23semidirect
538. #379C23semidirect
539. #379C23semidirect
540. C4×C4⋊C4C23semidirect
541. C4×C4⋊C4C23semidirect
542. C4×C22⋊C4C23semidirect
573. C2×#95C23semidirect
748. #121C2×D4semidirect
1719. C2#46381direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5382
C2×#27272
C2×#27182
C2×#27152
C2×#27122
C2×#27102
C2×#27022
C2×#27012
C2×#26842
C2×#26792
C2×#26782
C2×#26682
#463812
C2×#28142
C2×#25602
C2×#25342
C2×#25122
C2×#24112
C2×#24152
C2×#24472
C2×#24222
C2×#24612
C2×#24442
C2×#24252
C2×#24722
C2×#24122
C2×#24242
C2×#24182
C2×#23242