Finite Group Databasebeta

← C2×#54942 #8098877

Subgroups — C2×#54942 #8098877

Order 512.

8706 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#54942C2132yesmaximal, direct product factor
2C2×#2803C211yesmaximal, characteristic, complemented
3C2×#2733C211yesmaximal, characteristic, complemented
4C2×#2703C211yesmaximal, characteristic, complemented
5C2×#2699C211yesmaximal, characteristic, complemented
6C2×#2684C211yesmaximal, characteristic, complemented
7C2×#2678C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic, complemented
9C2×#2673C211yesmaximal, characteristic, complemented
10C2×#2673C211yesmaximal, characteristic, complemented
11C2×#2673C211yesmaximal, characteristic, complemented
12C2×#2670C211yesmaximal, characteristic, complemented
13C2×#2670C211yesmaximal, characteristic, complemented
14C2×#2669C211yesmaximal, characteristic, complemented
15C2×#2669C211yesmaximal, characteristic, complemented
16C2×#2669C211yesmaximal, characteristic, complemented
17C2×#2669C211yesmaximal, characteristic, complemented
18C2×#2828C211yesmaximal, characteristic, complemented
19C2×#2815C211yesmaximal, characteristic, complemented
20C2×#2812C211yesmaximal, characteristic, complemented
21C2×#2557C211yesmaximal, characteristic, complemented
22C2×#2526C211yesmaximal, characteristic, complemented
23C2×#2531C211yesmaximal, characteristic, complemented
24C2×#2428C211yesmaximal, characteristic, complemented
25C2×#2433C211yesmaximal, characteristic, complemented
26C2×#2433C211yesmaximal, characteristic, complemented
27C2×#2408C211yesmaximal, characteristic, complemented
28C2×#2459C211yesmaximal, characteristic, complemented
29C2×#2403C211yesmaximal, characteristic, complemented
30C2×#2657C211yesmaximal, characteristic, complemented
31C2×#2661C211yesmaximal, characteristic, complemented
32C2×#2613C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C22×#127C2211yescharacteristic
36C22×#127C2211yescharacteristic
37C22×#127C2211yescharacteristic, complemented
38C22×#127C2211yescharacteristic, complemented
39C22×#127C2211yescharacteristic, complemented
40C22×#124C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic, complemented
43C22×#124C2211yescharacteristic, complemented
44C22×#123C2211yescharacteristic, complemented
45C22×#123C2211yescharacteristic, complemented
46C22×#123C2211yescharacteristic, complemented
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic, complemented
49C22×#121C2211yescharacteristic, complemented
50C22×#121C2211yescharacteristic, complemented
51C22×#121C2211yescharacteristic, complemented
52C22×#121C2211yescharacteristic, complemented
53C22×#121C2211yescharacteristic, complemented
54C22×#121C2211yescharacteristic, complemented
55C22×#121C2211yescharacteristic, complemented
56C22×#121C2211yescharacteristic, complemented
57C22×#120C2211yescharacteristic
58C22×#120C2211yescharacteristic
59C22×#120C2211yescharacteristic
60C22×#120C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic, complemented
65C22×#120C2211yescharacteristic, complemented
66C22×#120C2211yescharacteristic, complemented
67C22×#120C2211yescharacteristic, complemented
68C22×#120C2211yescharacteristic, complemented
69C22×#120C2211yescharacteristic, complemented
70C22×C4×D4C2211yescharacteristic, complemented
71#2828C22116yescomplemented
72#2815C22116yescomplemented
73#2812C22116yescomplemented
74#2803C22116yescomplemented
75#2733C22116yescomplemented
76#2703C22116yescomplemented
77#2699C22116yescomplemented
78#2684C22116yescomplemented
79#2678C22116yescomplemented
80#2678C22116yescomplemented
81#2673C22116yescomplemented
82#2673C22116yescomplemented
83#2673C22116yescomplemented
84#2670C22116yescomplemented
85#2670C22116yescomplemented
86#2669C22116yescomplemented
87#2669C22116yescomplemented
88#2669C22116yescomplemented
89#2669C22116yescomplemented
90#2661C22116yescomplemented
91#2657C22116yescomplemented
92#2613C22116yescomplemented
93#2557C22116yescomplemented
94#2531C22116yescomplemented
95#2526C22116yescomplemented
96#2459C22116yescomplemented
97#2433C22116yescomplemented
98#2433C22116yescomplemented
99#2428C22116yescomplemented
100#2408C22116yescomplemented
101#2403C22116yescomplemented
102C2×#400C2211yescharacteristic, complemented
103C2×#398C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic
113C2×#394C2211yescharacteristic
114C2×#394C2211yescharacteristic
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic, complemented
118C2×#394C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic, complemented
122C2×#394C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#393C2211yescharacteristic, complemented
133C2×#393C2211yescharacteristic, complemented
134C2×#392C2211yescharacteristic
135C2×#392C2211yescharacteristic
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic, complemented
146C2×#392C2211yescharacteristic, complemented
147C2×#392C2211yescharacteristic, complemented
148C2×#392C2211yescharacteristic, complemented
149C2×#392C2211yescharacteristic, complemented
150C2×#392C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic, complemented
152C2×#392C2211yescharacteristic, complemented
153C2×#392C2211yescharacteristic, complemented
154C2×#392C2211yescharacteristic, complemented
155C2×#392C2211yescharacteristic, complemented
156C2×#392C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic, complemented
158C2×#392C2211yescharacteristic, complemented
159C2×#392C2211yescharacteristic, complemented
160C2×#392C2211yescharacteristic, complemented
161C2×#392C2211yescharacteristic, complemented
162C2×#392C2211yescharacteristic, complemented
163C2×#392C2211yescharacteristic, complemented
164C2×#392C2211yescharacteristic, complemented
165C2×#392C2211yescharacteristic, complemented
166C2×#391C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic
168C2×#390C2211yescharacteristic
169C2×#390C2211yescharacteristic
170C2×#390C2211yescharacteristic, complemented
171C2×#390C2211yescharacteristic, complemented
172C2×#390C2211yescharacteristic, complemented
173C2×#390C2211yescharacteristic, complemented
174C2×#390C2211yescharacteristic, complemented
175C2×#390C2211yescharacteristic, complemented
176C2×#389C2211yescharacteristic, 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×#388C2211yescharacteristic, complemented
187C2×#388C2211yescharacteristic, complemented
188C2×#388C2211yescharacteristic, complemented
189C2×#388C2211yescharacteristic, complemented
190C2×#388C2211yescharacteristic, complemented
191C2×#388C2211yescharacteristic, complemented
192C2×#388C2211yescharacteristic, complemented
193C2×#387C2211yescharacteristic, complemented
194C2×#387C2211yescharacteristic, complemented
195C2×#387C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic
200C2×#386C2211yescharacteristic, complemented
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#386C2211yescharacteristic, complemented
204C2×#386C2211yescharacteristic, complemented
205C2×#386C2211yescharacteristic, complemented
206C2×#386C2211yescharacteristic, complemented
207C2×#386C2211yescharacteristic, complemented
208C2×#381C2211yescharacteristic, complemented
209C2×#381C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×#376C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—44no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4—44no—
228C23×D4—44no—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2318yes—
249C23×D4C2311yescharacteristic
250C23×D4C2318yes—
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C23×D4C2311yescharacteristic
256C23×D4C2311yescharacteristic
257C23×D4C2311yescharacteristic
258C23×D4C2311yescharacteristic
259C23×D4C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C23×D4C2311yescharacteristic
262C23×D4C2311yescharacteristic
263C23×D4C2311yescharacteristic
264C23×D4C2311yescharacteristic
265C23×D4C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C2×#127—44no—
273C2×#127—44no—
274C2×#127—44no—
275C2×#127—44no—
276C2×#127—44no—
277C2×#127C2318yes—
278C2×#127C2318yes—
279C2×#127C2318yescomplemented
280C2×#127C2318yescomplemented
281C2×#127C2318yescomplemented
282C2×#124—44no—
283C2×#124—44no—
284C2×#124—44no—
285C2×#124—44no—
286C2×#124C2318yescomplemented
287C2×#124C2318yescomplemented
288C2×#124C2318yescomplemented
289C2×#124C2318yescomplemented
290C2×#123—44no—
291C2×#123—44no—
292C2×#123—44no—
293C2×#123C2318yescomplemented
294C2×#123C2318yescomplemented
295C2×#123C2318yescomplemented
296C2×#121—44no—
297C2×#121—44no—
298C2×#121—44no—
299C2×#121—44no—
300C2×#121—44no—
301C2×#121—44no—
302C2×#121—44no—
303C2×#121—44no—
304C2×#121—44no—
305C2×#121—44no—
306C2×#121C2318yes—
307C2×#121C2318yescomplemented
308C2×#121C2318yescomplemented
309C2×#121C2318yescomplemented
310C2×#121C2318yescomplemented
311C2×#121C2318yescomplemented
312C2×#121C2318yescomplemented
313C2×#121C2318yescomplemented
314C2×#121C2318yescomplemented
315C2×#121C2318yescomplemented
316C2×#120—44no—
317C2×#120—44no—
318C2×#120—44no—
319C2×#120—44no—
320C2×#120—44no—
321C2×#120—44no—
322C2×#120—44no—
323C2×#120—44no—
324C2×#120—44no—
325C2×#120—44no—
326C2×#120—44no—
327C2×#120—44no—
328C2×#120—44no—
329C2×#120C2318yes—
330C2×#120C2318yes—
331C2×#120C2318yes—
332C2×#120C2318yes—
333C2×#120C2318yes—
334C2×#120C2318yes—
335C2×#120C2318yes—
336C2×#120C2318yescomplemented
337C2×#120C2318yescomplemented
338C2×#120C2318yescomplemented
339C2×#120C2318yescomplemented
340C2×#120C2318yescomplemented
341C2×#120C2318yescomplemented
342C2×C4×D4—44no—
343C2×C4×D4C2318yescomplemented
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428#400C2318yescomplemented
429#398C2318yescomplemented
430#397C2318yescomplemented
431#397C2318yescomplemented
432#397C2318yescomplemented
433#397C2318yescomplemented
434#397C2318yescomplemented
435#397C2318yescomplemented
436#397C2318yescomplemented
437#396C2318yescomplemented
438#394C2318yes—
439#394C2318yes—
440#394C2318yes—
441#394C2318yescomplemented
442#394C2318yescomplemented
443#394C2318yescomplemented
444#394C2318yescomplemented
445#394C2318yescomplemented
446#394C2318yescomplemented
447#394C2318yescomplemented
448#394C2318yescomplemented
449#394C2318yescomplemented
450#394C2318yescomplemented
451#394C2318yescomplemented
452#394C2318yescomplemented
453#394C2318yescomplemented
454#394C2318yescomplemented
455#394C2318yescomplemented
456#394C2318yescomplemented
457#394C2318yescomplemented
458#393C2318yescomplemented
459#393C2318yescomplemented
460#392C2318yes—
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yes—
467#392C2318yes—
468#392C2318yes—
469#392C2318yes—
470#392C2318yes—
471#392C2318yescomplemented
472#392C2318yescomplemented
473#392C2318yescomplemented
474#392C2318yescomplemented
475#392C2318yescomplemented
476#392C2318yescomplemented
477#392C2318yescomplemented
478#392C2318yescomplemented
479#392C2318yescomplemented
480#392C2318yescomplemented
481#392C2318yescomplemented
482#392C2318yescomplemented
483#392C2318yescomplemented
484#392C2318yescomplemented
485#392C2318yescomplemented
486#392C2318yescomplemented
487#392C2318yescomplemented
488#392C2318yescomplemented
489#392C2318yescomplemented
490#392C2318yescomplemented
491#392C2318yescomplemented
492#391C2318yescomplemented
493#390C2318yes—
494#390C2318yes—
495#390C2318yes—
496#390C2318yescomplemented
497#390C2318yescomplemented
498#390C2318yescomplemented
499#390C2318yescomplemented
500#390C2318yescomplemented
501#390C2318yescomplemented
502#389C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#388C2318yescomplemented
510#388C2318yescomplemented
511#388C2318yescomplemented
512#388C2318yescomplemented
513#388C2318yescomplemented
514#388C2318yescomplemented
515#388C2318yescomplemented
516#388C2318yescomplemented
517#388C2318yescomplemented
518#388C2318yescomplemented
519#387C2318yescomplemented
520#387C2318yescomplemented
521#387C2318yescomplemented
522#386C2318yes—
523#386C2318yes—
524#386C2318yes—
525#386C2318yes—
526#386C2318yescomplemented
527#386C2318yescomplemented
528#386C2318yescomplemented
529#386C2318yescomplemented
530#386C2318yescomplemented
531#386C2318yescomplemented
532#386C2318yescomplemented
533#386C2318yescomplemented
534#381C2318yescomplemented
535#381C2318yescomplemented
536#380C2318yescomplemented
537#379C2318yes—
538#379C2318yes—
539#379C2318yescomplemented
540#379C2318yescomplemented
541C4×C22⋊C4C2318yescomplemented
542C4×C22⋊C4C2318yescomplemented
543C4×C22⋊C4C2318yescomplemented
544#376C2318yescomplemented
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
571C25—24no—
572C25—24no—
573C25—24no—
574C25—24no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25—42no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25—42no—
591C25—42no—
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2411yescharacteristic
601C25C2411yescharacteristic
602C25C2414yes—
603C25C2414yes—
604C25C2414yes—
605C22×Q8—24no—
606C22×Q8—42no—
607C22×Q8—42no—
608C22×Q8C2414yes—
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—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—416no—
633C22×D4—416no—
634C22×D4—416no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—416no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—42no—
679C22×D4—42no—
680C22×D4—42no—
681C22×D4—42no—
682C22×D4—42no—
683C22×D4—42no—
684C22×D4—42no—
685C22×D4—42no—
686C22×D4—42no—
687C22×D4—42no—
688C22×D4—42no—
689C22×D4—42no—
690C22×D4—42no—
691C22×D4—42no—
692C22×D4—42no—
693C22×D4—42no—
694C22×D4—42no—
695C22×D4—42no—
696C22×D4—42no—
697C22×D4—42no—
698C22×D4—42no—
699C22×D4—42no—
700C22×D4—42no—
701C22×D4—42no—
702C22×D4—42no—
703C22×D4—42no—
704C22×D4—42no—
705C22×D4—42no—
706C22×D4—42no—
707C22×D4—42no—
708C22×D4—42no—
709C22×D4—42no—
710C22×D4—42no—
711C22×D4—42no—
712C22×D4—42no—
713C22×D4—42no—
714C22×D4—42no—
715C22×D4—42no—
716C22×D4—42no—
717C22×D4—42no—
718C22×D4—42no—
719C22×D4—42no—
720C22×D4—42no—
721C22×D4—416no—
722C22×D4—416no—
723C22×D4—464no—
724C22×D4—464no—
725C22×D4C2414yes—
726C22×D4C2414yes—
727C22×D4C2414yes—
728C22×D4C2414yes—
729C22×D4C2414yes—
730C22×D4C2414yes—
731C22×D4C2414yes—
732C22×D4C2414yes—
733C22×D4C2414yes—
734C22×D4C2414yes—
735C22×D4C2414yes—
736C22×D4C2414yes—
737C22×D4C2414yes—
738C22×D4C2414yes—
739C22×D4C2414yes—
740C22×D4C2414yes—
741C22×D4C2414yes—
742C22×D4C2414yes—
743C22×D4C2414yes—
744C22×D4C2414yes—
745C22×D4C2414yes—
746C22×D4C2414yes—
747C22×D4C2414yes—
748C22×D4C2414yes—
749C22×D4C2414yes—
750C22×D4C2414yes—
751C22×D4C2414yes—
752C22×D4C2414yes—
753C22×D4C2414yes—
754C22×D4C2414yes—
755C22×D4C2414yes—
756C22×D4C2414yes—
757C22×D4C2414yes—
758C22×D4C2414yes—
759C22×D4C2414yes—
760C22×D4C2414yes—
761C23×C4—24no—
762C23×C4—24no—
763C23×C4—24no—
764C23×C4—24no—
765C23×C4—24no—
766C23×C4—24no—
767C23×C4—42no—
768C23×C4—42no—
769C23×C4—42no—
770C23×C4—42no—
771C23×C4—42no—
772C23×C4—42no—
773C23×C4—42no—
774C23×C4—42no—
775C23×C4—42no—
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2411yescharacteristic
787C23×C4C2411yescharacteristic
788C23×C4C2411yescharacteristic
789C23×C4C2411yescharacteristic
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2411yescharacteristic
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802#127—416no—
803#127—416no—
804#127—416no—
805#127—416no—
806#127—416no—
807#124—416no—
808#124—416no—
809#124—416no—
810#124—416no—
811#123—416no—
812#123—416no—
813#123—416no—
814#121—416no—
815#121—416no—
816#121—416no—
817#121—416no—
818#121—416no—
819#121—416no—
820#121—416no—
821#121—416no—
822#121—416no—
823#121—416no—
824#120—416no—
825#120—416no—
826#120—416no—
827#120—416no—
828#120—416no—
829#120—416no—
830#120—416no—
831#120—416no—
832#120—416no—
833#120—416no—
834#120—416no—
835#120—416no—
836#120—416no—
837C4×D4—416no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—24no—
840C2×C4⋊C4—24no—
841C2×C4⋊C4—24no—
842C2×C4⋊C4—42no—
843C2×C4⋊C4—42no—
844C2×C4⋊C4—42no—
845C2×C4⋊C4—42no—
846C2×C4⋊C4—42no—
847C2×C4⋊C4—42no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—42no—
850C2×C4⋊C4—42no—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C22⋊C4—24no—
865C2×C22⋊C4—24no—
866C2×C22⋊C4—24no—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4—42no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4—42no—
891C2×C22⋊C4—42no—
892C2×C22⋊C4—42no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—42no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4—42no—
897C2×C22⋊C4—42no—
898C2×C22⋊C4—42no—
899C2×C22⋊C4—42no—
900C2×C22⋊C4—42no—
901C2×C22⋊C4—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—42no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4—42no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—42no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—42no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4—42no—
921C2×C22⋊C4—42no—
922C2×C22⋊C4—42no—
923C2×C22⋊C4—42no—
924C2×C22⋊C4—42no—
925C2×C22⋊C4—42no—
926C2×C22⋊C4—42no—
927C2×C22⋊C4—42no—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42—24no—
995C2×C42—42no—
996C2×C42—42no—
997C2×C42—42no—
998C2×C42—42no—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2414yes—
1004C2×C42C2414yes—
1005C2×C42C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—22no—
1088C24—22no—
1089C24—22no—
1090C24—22no—
1091C24—22no—
1092C24—22no—
1093C24—22no—
1094C24—22no—
1095C24—22no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—28no—
1101C24—28no—
1102C24—28no—
1103C24—28no—
1104C24—44no—
1105C24—44no—
1106C24—44no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—44no—
1116C24—44no—
1117C24—44no—
1118C24—44no—
1119C24—44no—
1120C24—44no—
1121C24—416no—
1122C24—416no—
1123C24—416no—
1124C24—416no—
1125C24—88no—
1126C24—88no—
1127C24—88no—
1128C24—88no—
1129C24—88no—
1130C24—88no—
1131C24—88no—
1132C24—88no—
1133C24—88no—
1134C24—88no—
1135C24—88no—
1136C24—88no—
1137C24—88no—
1138C24—88no—
1139C24—88no—
1140C24—88no—
1141C24—88no—
1142C24H(5,𝔽2)14yes—
1143C24H(5,𝔽2)14yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2512yes—
1148C24C2512yes—
1149C24C2512yes—
1150C24C2512yes—
1151C24C2512yes—
1152C24C2512yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155C2×Q8—28no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—88no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—28no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—416no—
1198C2×D4—416no—
1199C2×D4—416no—
1200C2×D4—416no—
1201C2×D4—416no—
1202C2×D4—416no—
1203C2×D4—416no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—416no—
1275C2×D4—4128no—
1276C2×D4—4128no—
1277C2×D4—416no—
1278C2×D4—88no—
1279C2×D4—88no—
1280C2×D4—88no—
1281C2×D4—88no—
1282C2×D4—88no—
1283C2×D4—88no—
1284C2×D4—88no—
1285C2×D4—88no—
1286C2×D4—88no—
1287C2×D4—88no—
1288C2×D4—88no—
1289C2×D4—88no—
1290C2×D4—88no—
1291C2×D4—88no—
1292C2×D4—88no—
1293C2×D4—88no—
1294C2×D4—88no—
1295C2×D4—88no—
1296C2×D4—88no—
1297C2×D4—88no—
1298C2×D4—88no—
1299C2×D4—88no—
1300C2×D4—88no—
1301C2×D4—88no—
1302C2×D4—88no—
1303C2×D4—88no—
1304C2×D4—88no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—28no—
1364C22×C4—28no—
1365C22×C4—28no—
1366C22×C4—28no—
1367C22×C4—28no—
1368C22×C4—28no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—416no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—416no—
1380C22×C4—88no—
1381C22×C4—88no—
1382C22×C4—88no—
1383C22×C4H(5,𝔽2)14yes—
1384C22×C4H(5,𝔽2)14yes—
1385C22×C4H(5,𝔽2)14yes—
1386C22×C4H(5,𝔽2)14yes—
1387C22×C4H(5,𝔽2)14yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C42—28no—
1487C42—28no—
1488C42—28no—
1489C42—44no—
1490C42—44no—
1491C42—44no—
1492C42—44no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—28no—
1506C23—28no—
1507C23—28no—
1508C23—28no—
1509C23—28no—
1510C23—28no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—416no—
1568C23—416no—
1569C23—416no—
1570C23—44no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—416no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—44no—
1585C23—44no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—44no—
1606C23—44no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—44no—
1623C23—44no—
1624C23—44no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—88no—
1636C23—88no—
1637C23—88no—
1638C23—88no—
1639C23—88no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—88no—
1645C23—88no—
1646C23—88no—
1647C23—88no—
1648C23—88no—
1649C23—88no—
1650C23—88no—
1651C23—88no—
1652C23—864no—
1653C23—864no—
1654C23—864no—
1655C23C2×H(5,𝔽2)14yes—
1656C23C2×H(5,𝔽2)14yes—
1657C23C2×H(5,𝔽2)12yes—
1658C23C2×H(5,𝔽2)12yes—
1659C23C2×H(5,𝔽2)12yes—
1660C23C2×H(5,𝔽2)12yes—
1661C23C2×H(5,𝔽2)12yes—
1662C23C2×H(5,𝔽2)12yes—
1663C23C2×H(5,𝔽2)12yes—
1664C23C2611yescharacteristic
1665Q8—88no—
1666D4—416no—
1667D4—416no—
1668D4—416no—
1669D4—416no—
1670D4—416no—
1671D4—416no—
1672D4—416no—
1673D4—416no—
1674D4—416no—
1675D4—88no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—88no—
1680D4—88no—
1681D4—88no—
1682D4—88no—
1683D4—88no—
1684D4—88no—
1685D4—88no—
1686D4—88no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691D4—88no—
1692D4—88no—
1693D4—88no—
1694D4—88no—
1695D4—88no—
1696D4—88no—
1697D4—88no—
1698D4—88no—
1699D4—88no—
1700D4—88no—
1701D4—88no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—28no—
1713C2×C4—28no—
1714C2×C4—28no—
1715C2×C4—28no—
1716C2×C4—28no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—416no—
1766C2×C4—416no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—44no—
1770C2×C4—44no—
1771C2×C4—44no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—44no—
1778C2×C4—44no—
1779C2×C4—44no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—88no—
1784C2×C4—88no—
1785C2×C4—88no—
1786C2×C4C2×H(5,𝔽2)14yes—
1787C2×C4C2×H(5,𝔽2)14yes—
1788C2×C4C2×H(5,𝔽2)14yes—
1789C2×C4C2×H(5,𝔽2)14yes—
1790C2×C4C2×H(5,𝔽2)14yes—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—24no—
1795C22—24no—
1796C22—24no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—416no—
1805C22—416no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—42no—
1844C22—42no—
1845C22—42no—
1846C22—42no—
1847C22—42no—
1848C22—42no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—42no—
1863C22—832no—
1864C22—832no—
1865C22—832no—
1866C22—88no—
1867C22—88no—
1868C22—88no—
1869C22—88no—
1870C22—88no—
1871C22—88no—
1872C22—88no—
1873C22—88no—
1874C22#353214yes—
1875C22#353214yes—
1876C22#353714yes—
1877C22#354314yes—
1878C22#354314yes—
1879C22#354314yes—
1880C22#354914yes—
1881C22C22×H(5,𝔽2)11yescharacteristic
1882C22C22×H(5,𝔽2)11yescharacteristic
1883C22C22×H(5,𝔽2)11yescharacteristic
1884C22C22×H(5,𝔽2)11yescharacteristic
1885C22C22×H(5,𝔽2)11yescharacteristic
1886C22C22×H(5,𝔽2)11yescharacteristic
1887C22C22×H(5,𝔽2)11yescharacteristic
1888C4—24no—
1889C4—24no—
1890C4—24no—
1891C4—24no—
1892C4—24no—
1893C4—42no—
1894C4—42no—
1895C4—42no—
1896C4—42no—
1897C4—42no—
1898C4—42no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—42no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—42no—
1909C2—44no—
1910C2—44no—
1911C2—82no—
1912C2—82no—
1913C2—82no—
1914C2—82no—
1915C2—82no—
1916C2—82no—
1917C2—82no—
1918C2—82no—
1919C2#5494218yesdirect product factor
1920C2C2×#353211yescharacteristic
1921C2C2×#353211yescharacteristic
1922C2C2×#353711yescharacteristic
1923C2C2×#354311yescharacteristic
1924C2C2×#354311yescharacteristic
1925C2C2×#354311yescharacteristic
1926C2C2×#354911yescharacteristic
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. #54942C2direct (N × H)
2. C2×#2803C2semidirect
3. C2×#2733C2semidirect
4. C2×#2703C2semidirect
5. C2×#2699C2semidirect
6. C2×#2684C2semidirect
7. C2×#2678C2semidirect
8. C2×#2678C2semidirect
9. C2×#2673C2semidirect
10. C2×#2673C2semidirect
11. C2×#2673C2semidirect
12. C2×#2670C2semidirect
13. C2×#2670C2semidirect
14. C2×#2669C2semidirect
15. C2×#2669C2semidirect
16. C2×#2669C2semidirect
17. C2×#2669C2semidirect
18. C2×#2828C2semidirect
19. C2×#2815C2semidirect
20. C2×#2812C2semidirect
21. C2×#2557C2semidirect
22. C2×#2526C2semidirect
23. C2×#2531C2semidirect
24. C2×#2428C2semidirect
25. C2×#2433C2semidirect
26. C2×#2433C2semidirect
27. C2×#2408C2semidirect
28. C2×#2459C2semidirect
29. C2×#2403C2semidirect
30. C2×#2657C2semidirect
31. C2×#2661C2semidirect
32. C2×#2613C2semidirect
37. C22×#127C22semidirect
38. C22×#127C22semidirect
39. C22×#127C22semidirect
40. C22×#124C22semidirect
41. C22×#124C22semidirect
42. C22×#124C22semidirect
43. C22×#124C22semidirect
44. C22×#123C22semidirect
45. C22×#123C22semidirect
46. C22×#123C22semidirect
48. C22×#121C22semidirect
49. C22×#121C22semidirect
50. C22×#121C22semidirect
51. C22×#121C22semidirect
52. C22×#121C22semidirect
53. C22×#121C22semidirect
54. C22×#121C22semidirect
55. C22×#121C22semidirect
56. C22×#121C22semidirect
64. C22×#120C22semidirect
65. C22×#120C22semidirect
66. C22×#120C22semidirect
67. C22×#120C22semidirect
68. C22×#120C22semidirect
69. C22×#120C22semidirect
70. C22×C4×D4C22semidirect
71. #2828C22semidirect
72. #2815C22semidirect
73. #2812C22semidirect
74. #2803C22semidirect
75. #2733C22semidirect
76. #2703C22semidirect
77. #2699C22semidirect
78. #2684C22semidirect
79. #2678C22semidirect
80. #2678C22semidirect
81. #2673C22semidirect
82. #2673C22semidirect
83. #2673C22semidirect
84. #2670C22semidirect
85. #2670C22semidirect
86. #2669C22semidirect
87. #2669C22semidirect
88. #2669C22semidirect
89. #2669C22semidirect
90. #2661C22semidirect
91. #2657C22semidirect
92. #2613C22semidirect
93. #2557C22semidirect
94. #2531C22semidirect
95. #2526C22semidirect
96. #2459C22semidirect
97. #2433C22semidirect
98. #2433C22semidirect
99. #2428C22semidirect
100. #2408C22semidirect
101. #2403C22semidirect
102. C2×#400C22semidirect
103. C2×#398C22semidirect
104. C2×#397C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#396C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
117. C2×#394C22semidirect
118. C2×#394C22semidirect
119. C2×#394C22semidirect
120. C2×#394C22semidirect
121. C2×#394C22semidirect
122. C2×#394C22semidirect
123. C2×#394C22semidirect
124. C2×#394C22semidirect
125. C2×#394C22semidirect
126. C2×#394C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#393C22semidirect
133. C2×#393C22semidirect
145. C2×#392C22semidirect
146. C2×#392C22semidirect
147. C2×#392C22semidirect
148. C2×#392C22semidirect
149. C2×#392C22semidirect
150. C2×#392C22semidirect
151. C2×#392C22semidirect
152. C2×#392C22semidirect
153. C2×#392C22semidirect
154. C2×#392C22semidirect
155. C2×#392C22semidirect
156. C2×#392C22semidirect
157. C2×#392C22semidirect
158. C2×#392C22semidirect
159. C2×#392C22semidirect
160. C2×#392C22semidirect
161. C2×#392C22semidirect
162. C2×#392C22semidirect
163. C2×#392C22semidirect
164. C2×#392C22semidirect
165. C2×#392C22semidirect
166. C2×#391C22semidirect
170. C2×#390C22semidirect
171. C2×#390C22semidirect
172. C2×#390C22semidirect
173. C2×#390C22semidirect
174. C2×#390C22semidirect
175. C2×#390C22semidirect
176. C2×#389C22semidirect
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×#388C22semidirect
187. C2×#388C22semidirect
188. C2×#388C22semidirect
189. C2×#388C22semidirect
190. C2×#388C22semidirect
191. C2×#388C22semidirect
192. C2×#388C22semidirect
193. C2×#387C22semidirect
194. C2×#387C22semidirect
195. C2×#387C22semidirect
200. C2×#386C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
203. C2×#386C22semidirect
204. C2×#386C22semidirect
205. C2×#386C22semidirect
206. C2×#386C22semidirect
207. C2×#386C22semidirect
208. C2×#381C22semidirect
209. C2×#381C22semidirect
210. C2×#380C22semidirect
213. C2×#379C22semidirect
214. C2×#379C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×#376C22semidirect
279. C2×#127C23semidirect
280. C2×#127C23semidirect
281. C2×#127C23semidirect
286. C2×#124C23semidirect
287. C2×#124C23semidirect
288. C2×#124C23semidirect
289. C2×#124C23semidirect
293. C2×#123C23semidirect
294. C2×#123C23semidirect
295. C2×#123C23semidirect
307. C2×#121C23semidirect
308. C2×#121C23semidirect
309. C2×#121C23semidirect
310. C2×#121C23semidirect
311. C2×#121C23semidirect
312. C2×#121C23semidirect
313. C2×#121C23semidirect
314. C2×#121C23semidirect
315. C2×#121C23semidirect
336. C2×#120C23semidirect
337. C2×#120C23semidirect
338. C2×#120C23semidirect
339. C2×#120C23semidirect
340. C2×#120C23semidirect
341. C2×#120C23semidirect
343. C2×C4×D4C23semidirect
428. #400C23semidirect
429. #398C23semidirect
430. #397C23semidirect
431. #397C23semidirect
432. #397C23semidirect
433. #397C23semidirect
434. #397C23semidirect
435. #397C23semidirect
436. #397C23semidirect
437. #396C23semidirect
441. #394C23semidirect
442. #394C23semidirect
443. #394C23semidirect
444. #394C23semidirect
445. #394C23semidirect
446. #394C23semidirect
447. #394C23semidirect
448. #394C23semidirect
449. #394C23semidirect
450. #394C23semidirect
451. #394C23semidirect
452. #394C23semidirect
453. #394C23semidirect
454. #394C23semidirect
455. #394C23semidirect
456. #394C23semidirect
457. #394C23semidirect
458. #393C23semidirect
459. #393C23semidirect
471. #392C23semidirect
472. #392C23semidirect
473. #392C23semidirect
474. #392C23semidirect
475. #392C23semidirect
476. #392C23semidirect
477. #392C23semidirect
478. #392C23semidirect
479. #392C23semidirect
480. #392C23semidirect
481. #392C23semidirect
482. #392C23semidirect
483. #392C23semidirect
484. #392C23semidirect
485. #392C23semidirect
486. #392C23semidirect
487. #392C23semidirect
488. #392C23semidirect
489. #392C23semidirect
490. #392C23semidirect
491. #392C23semidirect
492. #391C23semidirect
496. #390C23semidirect
497. #390C23semidirect
498. #390C23semidirect
499. #390C23semidirect
500. #390C23semidirect
501. #390C23semidirect
502. #389C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #388C23semidirect
510. #388C23semidirect
511. #388C23semidirect
512. #388C23semidirect
513. #388C23semidirect
514. #388C23semidirect
515. #388C23semidirect
516. #388C23semidirect
517. #388C23semidirect
518. #388C23semidirect
519. #387C23semidirect
520. #387C23semidirect
521. #387C23semidirect
526. #386C23semidirect
527. #386C23semidirect
528. #386C23semidirect
529. #386C23semidirect
530. #386C23semidirect
531. #386C23semidirect
532. #386C23semidirect
533. #386C23semidirect
534. #381C23semidirect
535. #381C23semidirect
536. #380C23semidirect
539. #379C23semidirect
540. #379C23semidirect
541. C4×C22⋊C4C23semidirect
542. C4×C22⋊C4C23semidirect
543. C4×C22⋊C4C23semidirect
544. #376C23semidirect
1919. C2#54942direct (N × H)

Maximal subgroups

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

subgroupindex
#549422
C2×#28032
C2×#27332
C2×#27032
C2×#26992
C2×#26842
C2×#26782
C2×#26732
C2×#26702
C2×#26692
C2×#28282
C2×#28152
C2×#28122
C2×#25572
C2×#25262
C2×#25312
C2×#24282
C2×#24332
C2×#24082
C2×#24592
C2×#24032
C2×#26572
C2×#26612
C2×#26132