Finite Group Databasebeta

← C2×#52308 #8092030

Subgroups — C2×#52308 #8092030

Order 512.

8668 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52308C2132yesmaximal, direct product factor
2C2×#2803C211yesmaximal, characteristic, complemented
3C2×#2756C211yesmaximal, characteristic, complemented
4C2×#2705C211yesmaximal, characteristic, complemented
5C2×#2703C211yesmaximal, characteristic, complemented
6C2×#2703C211yesmaximal, characteristic, complemented
7C2×#2673C211yesmaximal, characteristic, complemented
8C2×#2673C211yesmaximal, characteristic, complemented
9C2×#2673C211yesmaximal, characteristic, complemented
10C2×#2818C211yesmaximal, characteristic, complemented
11C2×#2828C211yesmaximal, characteristic, complemented
12C2×#2828C211yesmaximal, characteristic, complemented
13C2×#2829C211yesmaximal, characteristic, complemented
14C2×#2825C211yesmaximal, characteristic, complemented
15C2×#2825C211yesmaximal, characteristic, complemented
16C2×#2813C211yesmaximal, characteristic, complemented
17C2×#2813C211yesmaximal, characteristic, complemented
18C2×#2534C211yesmaximal, characteristic, complemented
19C2×#2493C211yesmaximal, characteristic, complemented
20C2×#2433C211yesmaximal, characteristic, complemented
21C2×#2408C211yesmaximal, characteristic, complemented
22C2×#2425C211yesmaximal, characteristic, complemented
23C2×#2480C211yesmaximal, characteristic, complemented
24C2×#2412C211yesmaximal, characteristic, complemented
25C2×#2405C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic, complemented
27C2×#2418C211yesmaximal, characteristic, complemented
28C2×#2418C211yesmaximal, characteristic, complemented
29C2×#2410C211yesmaximal, characteristic, complemented
30C2×#2613C211yesmaximal, characteristic, complemented
31C2×#2613C211yesmaximal, characteristic, complemented
32C22×#392C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C24×D4C2211yescharacteristic
36C22×#127C2211yescharacteristic, complemented
37C22×#127C2211yescharacteristic, complemented
38C22×#126C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic, complemented
42C22×#123C2211yescharacteristic, complemented
43C22×#123C2211yescharacteristic, complemented
44C22×#123C2211yescharacteristic, complemented
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic, complemented
47C22×#121C2211yescharacteristic, complemented
48C22×#121C2211yescharacteristic, complemented
49C22×#121C2211yescharacteristic, complemented
50C22×#121C2211yescharacteristic, complemented
51C22×#120C2211yescharacteristic
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×#120C2211yescharacteristic
57C22×C4×D4C2211yescharacteristic
58C22×C4×D4C2211yescharacteristic
59C23×C22⋊C4C2211yescharacteristic
60C23×C22⋊C4C2211yescharacteristic
61C23×C22⋊C4C2211yescharacteristic
62C23×C22⋊C4C2211yescharacteristic
63#2829C22116yescomplemented
64#2828C22116yescomplemented
65#2828C22116yescomplemented
66#2825C22116yescomplemented
67#2825C22116yescomplemented
68#2818C22116yescomplemented
69#2813C22116yescomplemented
70#2813C22116yescomplemented
71#2803C22116yescomplemented
72#2756C22116yescomplemented
73#2705C22116yescomplemented
74#2703C22116yescomplemented
75#2703C22116yescomplemented
76#2673C22116yescomplemented
77#2673C22116yescomplemented
78#2673C22116yescomplemented
79#2613C22116yescomplemented
80#2613C22116yescomplemented
81#2534C22116yescomplemented
82#2493C22116yescomplemented
83#2480C22116yescomplemented
84#2433C22116yescomplemented
85#2425C22116yescomplemented
86#2424C22116yescomplemented
87#2418C22116yescomplemented
88#2418C22116yescomplemented
89#2412C22116yescomplemented
90#2410C22116yescomplemented
91#2408C22116yescomplemented
92#2405C22116yescomplemented
93C2×#401C2211yescharacteristic, complemented
94C2×#400C2211yescharacteristic, complemented
95C2×#400C2211yescharacteristic, complemented
96C2×#400C2211yescharacteristic, complemented
97C2×#399C2211yescharacteristic, complemented
98C2×#399C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#397C2211yescharacteristic, complemented
104C2×#397C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic, complemented
106C2×#397C2211yescharacteristic, complemented
107C2×#397C2211yescharacteristic, complemented
108C2×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
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×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C22116yescomplemented
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×#390C2211yescharacteristic, complemented
167C2×#390C2211yescharacteristic, complemented
168C2×#390C2211yescharacteristic, complemented
169C2×#390C2211yescharacteristic, complemented
170C2×#390C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#383C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic
206C2×#381C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×D4—44no—
223C23×D4—44no—
224C23×D4—44no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4—44no—
228C23×D4—44no—
229C23×D4—44no—
230C23×D4—44no—
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2318yes—
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2318yes—
250C23×D4C2318yes—
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C23×D4C2311yescharacteristic
256C23×D4C2311yescharacteristic
257C23×D4C2311yescharacteristic
258C23×D4C2311yescharacteristic
259C23×D4C2311yescharacteristic
260C23×D4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C2×#127—44no—
270C2×#127—44no—
271C2×#127C2318yescomplemented
272C2×#127C2318yescomplemented
273C2×#126—44no—
274C2×#126C2318yescomplemented
275C2×#123—44no—
276C2×#123—44no—
277C2×#123—44no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123—44no—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yescomplemented
284C2×#123C2318yescomplemented
285C2×#123C2318yescomplemented
286C2×#123C2318yescomplemented
287C2×#121—44no—
288C2×#121—44no—
289C2×#121—44no—
290C2×#121—44no—
291C2×#121—44no—
292C2×#121—44no—
293C2×#121C2318yes—
294C2×#121C2318yescomplemented
295C2×#121C2318yescomplemented
296C2×#121C2318yescomplemented
297C2×#121C2318yescomplemented
298C2×#121C2318yescomplemented
299C2×#120—44no—
300C2×#120—44no—
301C2×#120—44no—
302C2×#120—44no—
303C2×#120—44no—
304C2×#120—44no—
305C2×#120C2318yes—
306C2×#120C2318yes—
307C2×#120C2318yes—
308C2×#120C2318yes—
309C2×#120C2318yes—
310C2×#120C2318yes—
311C2×C4×D4—44no—
312C2×C4×D4—44no—
313C2×C4×D4C2318yes—
314C2×C4×D4C2318yes—
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C22⋊C4—44no—
335C22×C22⋊C4—44no—
336C22×C22⋊C4—44no—
337C22×C22⋊C4—44no—
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2318yes—
370C22×C22⋊C4C2318yes—
371C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410#401C2318yescomplemented
411#400C2318yescomplemented
412#400C2318yescomplemented
413#400C2318yescomplemented
414#399C2318yescomplemented
415#399C2318yescomplemented
416#398C2318yescomplemented
417#397C2318yescomplemented
418#397C2318yescomplemented
419#397C2318yescomplemented
420#397C2318yescomplemented
421#397C2318yescomplemented
422#397C2318yescomplemented
423#397C2318yescomplemented
424#397C2318yescomplemented
425#396C2318yescomplemented
426#396C2318yescomplemented
427#396C2318yescomplemented
428#396C2318yescomplemented
429#396C2318yescomplemented
430#394C2318yescomplemented
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#394C2318yescomplemented
435#394C2318yescomplemented
436#394C2318yescomplemented
437#394C2318yescomplemented
438#394C2318yescomplemented
439#394C2318yescomplemented
440#394C2318yescomplemented
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#392C2318yes—
458#392C2318yes—
459#392C2318yes—
460#392C2318yes—
461#392C2318yes—
462#392C2318yes—
463#392C2318yes—
464#392C2318yes—
465#392C2318yescomplemented
466#392C2318yescomplemented
467#392C2318yescomplemented
468#392C2318yescomplemented
469#392C2318yescomplemented
470#392C2318yescomplemented
471#392C2318yescomplemented
472#392C2318yescomplemented
473#392C2318yescomplemented
474#392C2318yescomplemented
475#392C2318yescomplemented
476#392C2318yescomplemented
477#392C2318yescomplemented
478#392C2318yescomplemented
479#392C2318yescomplemented
480#392C2318yescomplemented
481#392C2318yescomplemented
482#390C2318yescomplemented
483#390C2318yescomplemented
484#390C2318yescomplemented
485#390C2318yescomplemented
486#390C2318yescomplemented
487#389C2318yescomplemented
488#388C2318yescomplemented
489#388C2318yescomplemented
490#388C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#387C2318yescomplemented
500#387C2318yescomplemented
501#387C2318yescomplemented
502#386C2318yes—
503#386C2318yes—
504#386C2318yescomplemented
505#386C2318yescomplemented
506#386C2318yescomplemented
507#386C2318yescomplemented
508#386C2318yescomplemented
509#386C2318yescomplemented
510#386C2318yescomplemented
511#386C2318yescomplemented
512#386C2318yescomplemented
513#386C2318yescomplemented
514#386C2318yescomplemented
515#386C2318yescomplemented
516#385C2318yes—
517#385C2318yes—
518#385C2318yes—
519#385C2318yes—
520#383C2318yescomplemented
521#381C2318yes—
522#381C2318yes—
523#380C2318yes—
524#380C2318yes—
525#380C2318yescomplemented
526#380C2318yescomplemented
527#380C2318yescomplemented
528#379C2318yes—
529#379C2318yes—
530#379C2318yes—
531#379C2318yes—
532#379C2318yes—
533C4×C22⋊C4C2318yes—
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2318yes—
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C25—24no—
566C25—24no—
567C25—24no—
568C25—24no—
569C25—24no—
570C25—24no—
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—
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2414yes—
595C25C2411yescharacteristic
596C25C2414yes—
597C25C2414yes—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
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—416no—
616C22×D4—416no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—416no—
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—416no—
647C22×D4—416no—
648C22×D4—416no—
649C22×D4—416no—
650C22×D4—42no—
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—416no—
687C22×D4—416no—
688C22×D4—464no—
689C22×D4—464no—
690C22×D4—464no—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
711C22×D4C2414yes—
712C22×D4C2414yes—
713C22×D4C2414yes—
714C22×D4C2414yes—
715C22×D4C2414yes—
716C22×D4C2414yes—
717C22×D4C2414yes—
718C23×C4—24no—
719C23×C4—24no—
720C23×C4—24no—
721C23×C4—24no—
722C23×C4—24no—
723C23×C4—24no—
724C23×C4—24no—
725C23×C4—24no—
726C23×C4—24no—
727C23×C4—24no—
728C23×C4—42no—
729C23×C4—42no—
730C23×C4—42no—
731C23×C4—42no—
732C23×C4—42no—
733C23×C4—42no—
734C23×C4—42no—
735C23×C4—42no—
736C23×C4—42no—
737C23×C4—42no—
738C23×C4—42no—
739C23×C4—42no—
740C23×C4—42no—
741C23×C4—42no—
742C23×C4C2414yes—
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2414yes—
764C23×C4C2414yes—
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772#127—416no—
773#127—416no—
774#126—416no—
775#123—416no—
776#123—416no—
777#123—416no—
778#123—416no—
779#123—416no—
780#123—416no—
781#121—416no—
782#121—416no—
783#121—416no—
784#121—416no—
785#121—416no—
786#121—416no—
787#120—416no—
788#120—416no—
789#120—416no—
790#120—416no—
791#120—416no—
792#120—416no—
793C4×D4—416no—
794C4×D4—416no—
795C2×C4⋊C4—24no—
796C2×C4⋊C4—24no—
797C2×C4⋊C4—24no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—42no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—42no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4—42no—
810C2×C4⋊C4—42no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—416no—
846C2×C22⋊C4—416no—
847C2×C22⋊C4—416no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4—42no—
852C2×C22⋊C4—42no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—416no—
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⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
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⋊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×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×C42—24no—
966C2×C42—42no—
967C2×C42—42no—
968C2×C42—42no—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972C2×C42C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—28no—
1051C24—28no—
1052C24—28no—
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—28no—
1066C24—28no—
1067C24—28no—
1068C24—28no—
1069C24—28no—
1070C24—28no—
1071C24—28no—
1072C24—44no—
1073C24—44no—
1074C24—44no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—416no—
1084C24—416no—
1085C24—416no—
1086C24—416no—
1087C24—416no—
1088C24—416no—
1089C24—416no—
1090C24—416no—
1091C24—416no—
1092C24—416no—
1093C24—88no—
1094C24—88no—
1095C24—88no—
1096C24—88no—
1097C24—88no—
1098C24—88no—
1099C24—88no—
1100C24—88no—
1101C24—88no—
1102C24—88no—
1103C24—88no—
1104C24H(5,𝔽2)14yes—
1105C24H(5,𝔽2)14yes—
1106C24H(5,𝔽2)14yes—
1107C24H(5,𝔽2)14yes—
1108C24C2512yes—
1109C24C2512yes—
1110C24C2512yes—
1111C24C2512yes—
1112C24C2512yes—
1113C24C2512yes—
1114C24C2512yes—
1115C24C2512yes—
1116C24C2512yes—
1117C24C2511yescharacteristic
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—416no—
1164C2×D4—416no—
1165C2×D4—416no—
1166C2×D4—416no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
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—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—416no—
1204C2×D4—416no—
1205C2×D4—4128no—
1206C2×D4—4128no—
1207C2×D4—4128no—
1208C2×D4—416no—
1209C2×D4—416no—
1210C2×D4—416no—
1211C2×D4—416no—
1212C2×D4—416no—
1213C2×D4—416no—
1214C2×D4—416no—
1215C2×D4—416no—
1216C2×D4—88no—
1217C2×D4—88no—
1218C2×D4—88no—
1219C2×D4—88no—
1220C2×D4—88no—
1221C2×D4—88no—
1222C2×D4—88no—
1223C2×D4—88no—
1224C2×D4—88no—
1225C2×D4—88no—
1226C2×D4—88no—
1227C2×D4—88no—
1228C2×D4—88no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—28no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—416no—
1318C22×C4—416no—
1319C22×C4—416no—
1320C22×C4—88no—
1321C22×C4—88no—
1322C22×C4—88no—
1323C22×C4—88no—
1324C22×C4—88no—
1325C22×C4H(5,𝔽2)14yes—
1326C22×C4H(5,𝔽2)14yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C42—28no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—28no—
1441C23—28no—
1442C23—28no—
1443C23—28no—
1444C23—28no—
1445C23—28no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—28no—
1453C23—28no—
1454C23—28no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—416no—
1505C23—416no—
1506C23—416no—
1507C23—416no—
1508C23—416no—
1509C23—416no—
1510C23—416no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—416no—
1516C23—416no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—416no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23—44no—
1567C23—88no—
1568C23—88no—
1569C23—88no—
1570C23—88no—
1571C23—88no—
1572C23—88no—
1573C23—88no—
1574C23—88no—
1575C23—88no—
1576C23—88no—
1577C23—88no—
1578C23—864no—
1579C23—864no—
1580C23—864no—
1581C23#560116yes—
1582C23C2×H(5,𝔽2)14yes—
1583C23C2×H(5,𝔽2)14yes—
1584C23C2×H(5,𝔽2)14yes—
1585C23C2×H(5,𝔽2)14yes—
1586C23C2×H(5,𝔽2)12yes—
1587C23C2×H(5,𝔽2)12yes—
1588C23C2×H(5,𝔽2)12yes—
1589C23C2×H(5,𝔽2)12yes—
1590C23C2×H(5,𝔽2)12yes—
1591C23C2×H(5,𝔽2)12yes—
1592C23#58512yes—
1593C23C2611yescharacteristic
1594D4—416no—
1595D4—416no—
1596D4—416no—
1597D4—416no—
1598D4—416no—
1599D4—416no—
1600D4—416no—
1601D4—416no—
1602D4—416no—
1603D4—416no—
1604D4—416no—
1605D4—416no—
1606D4—416no—
1607D4—416no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616D4—88no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—28no—
1626C2×C4—28no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—416no—
1688C2×C4—416no—
1689C2×C4—416no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—88no—
1711C2×C4—88no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4—88no—
1715C2×C4C2×H(5,𝔽2)14yes—
1716C2×C4C2×H(5,𝔽2)14yes—
1717C22—24no—
1718C22—24no—
1719C22—232no—
1720C22—24no—
1721C22—24no—
1722C22—24no—
1723C22—24no—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—42no—
1728C22—416no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—832no—
1782C22—832no—
1783C22—832no—
1784C22—88no—
1785C22—88no—
1786C22—88no—
1787C22—88no—
1788C22—88no—
1789C22—88no—
1790C22—88no—
1791C22C2×#56018yes—
1792C22C2×#56014yes—
1793C22#353214yes—
1794C22#353214yes—
1795C22#353414yes—
1796C22#354214yes—
1797C22#354214yes—
1798C22#354314yes—
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C2×#58511yescharacteristic
1806C4—24no—
1807C4—24no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C2—28no—
1829C2—44no—
1830C2—82no—
1831C2—82no—
1832C2—82no—
1833C2—82no—
1834C2—82no—
1835C2—82no—
1836C2—82no—
1837C2#5230818yesdirect product factor
1838C2C22×#56011yescharacteristic
1839C2C2×#353211yescharacteristic
1840C2C2×#353211yescharacteristic
1841C2C2×#354211yescharacteristic
1842C2C2×#354211yescharacteristic
1843C2C2×#353411yescharacteristic
1844C2C2×#354311yescharacteristic
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. #52308C2direct (N × H)
2. C2×#2803C2semidirect
3. C2×#2756C2semidirect
4. C2×#2705C2semidirect
5. C2×#2703C2semidirect
6. C2×#2703C2semidirect
7. C2×#2673C2semidirect
8. C2×#2673C2semidirect
9. C2×#2673C2semidirect
10. C2×#2818C2semidirect
11. C2×#2828C2semidirect
12. C2×#2828C2semidirect
13. C2×#2829C2semidirect
14. C2×#2825C2semidirect
15. C2×#2825C2semidirect
16. C2×#2813C2semidirect
17. C2×#2813C2semidirect
18. C2×#2534C2semidirect
19. C2×#2493C2semidirect
20. C2×#2433C2semidirect
21. C2×#2408C2semidirect
22. C2×#2425C2semidirect
23. C2×#2480C2semidirect
24. C2×#2412C2semidirect
25. C2×#2405C2semidirect
26. C2×#2424C2semidirect
27. C2×#2418C2semidirect
28. C2×#2418C2semidirect
29. C2×#2410C2semidirect
30. C2×#2613C2semidirect
31. C2×#2613C2semidirect
32. C22×#392C2semidirect
36. C22×#127C22semidirect
37. C22×#127C22semidirect
38. C22×#126C22semidirect
41. C22×#123C22semidirect
42. C22×#123C22semidirect
43. C22×#123C22semidirect
44. C22×#123C22semidirect
46. C22×#121C22semidirect
47. C22×#121C22semidirect
48. C22×#121C22semidirect
49. C22×#121C22semidirect
50. C22×#121C22semidirect
63. #2829C22semidirect
64. #2828C22semidirect
65. #2828C22semidirect
66. #2825C22semidirect
67. #2825C22semidirect
68. #2818C22semidirect
69. #2813C22semidirect
70. #2813C22semidirect
71. #2803C22semidirect
72. #2756C22semidirect
73. #2705C22semidirect
74. #2703C22semidirect
75. #2703C22semidirect
76. #2673C22semidirect
77. #2673C22semidirect
78. #2673C22semidirect
79. #2613C22semidirect
80. #2613C22semidirect
81. #2534C22semidirect
82. #2493C22semidirect
83. #2480C22semidirect
84. #2433C22semidirect
85. #2425C22semidirect
86. #2424C22semidirect
87. #2418C22semidirect
88. #2418C22semidirect
89. #2412C22semidirect
90. #2410C22semidirect
91. #2408C22semidirect
92. #2405C22semidirect
93. C2×#401C22semidirect
94. C2×#400C22semidirect
95. C2×#400C22semidirect
96. C2×#400C22semidirect
97. C2×#399C22semidirect
98. C2×#399C22semidirect
99. C2×#398C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#397C22semidirect
104. C2×#397C22semidirect
105. C2×#397C22semidirect
106. C2×#397C22semidirect
107. C2×#397C22semidirect
108. C2×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
112. C2×#396C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
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×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
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×#390C22semidirect
167. C2×#390C22semidirect
168. C2×#390C22semidirect
169. C2×#390C22semidirect
170. C2×#390C22semidirect
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×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
204. C2×#383C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
271. C2×#127C23semidirect
272. C2×#127C23semidirect
274. C2×#126C23semidirect
283. C2×#123C23semidirect
284. C2×#123C23semidirect
285. C2×#123C23semidirect
286. C2×#123C23semidirect
294. C2×#121C23semidirect
295. C2×#121C23semidirect
296. C2×#121C23semidirect
297. C2×#121C23semidirect
298. C2×#121C23semidirect
410. #401C23semidirect
411. #400C23semidirect
412. #400C23semidirect
413. #400C23semidirect
414. #399C23semidirect
415. #399C23semidirect
416. #398C23semidirect
417. #397C23semidirect
418. #397C23semidirect
419. #397C23semidirect
420. #397C23semidirect
421. #397C23semidirect
422. #397C23semidirect
423. #397C23semidirect
424. #397C23semidirect
425. #396C23semidirect
426. #396C23semidirect
427. #396C23semidirect
428. #396C23semidirect
429. #396C23semidirect
430. #394C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
434. #394C23semidirect
435. #394C23semidirect
436. #394C23semidirect
437. #394C23semidirect
438. #394C23semidirect
439. #394C23semidirect
440. #394C23semidirect
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
465. #392C23semidirect
466. #392C23semidirect
467. #392C23semidirect
468. #392C23semidirect
469. #392C23semidirect
470. #392C23semidirect
471. #392C23semidirect
472. #392C23semidirect
473. #392C23semidirect
474. #392C23semidirect
475. #392C23semidirect
476. #392C23semidirect
477. #392C23semidirect
478. #392C23semidirect
479. #392C23semidirect
480. #392C23semidirect
481. #392C23semidirect
482. #390C23semidirect
483. #390C23semidirect
484. #390C23semidirect
485. #390C23semidirect
486. #390C23semidirect
487. #389C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #387C23semidirect
500. #387C23semidirect
501. #387C23semidirect
504. #386C23semidirect
505. #386C23semidirect
506. #386C23semidirect
507. #386C23semidirect
508. #386C23semidirect
509. #386C23semidirect
510. #386C23semidirect
511. #386C23semidirect
512. #386C23semidirect
513. #386C23semidirect
514. #386C23semidirect
515. #386C23semidirect
520. #383C23semidirect
525. #380C23semidirect
526. #380C23semidirect
527. #380C23semidirect
1837. C2#52308direct (N × H)

Maximal subgroups

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

subgroupindex
#523082
C2×#28032
C2×#27562
C2×#27052
C2×#27032
C2×#26732
C2×#28182
C2×#28282
C2×#28292
C2×#28252
C2×#28132
C2×#25342
C2×#24932
C2×#24332
C2×#24082
C2×#24252
C2×#24802
C2×#24122
C2×#24052
C2×#24242
C2×#24182
C2×#24102
C2×#26132
C22×#3922