Finite Group Databasebeta

← C2×#40160 #7637596

Subgroups — C2×#40160 #7637596

Order 512.

6192 conjugacy classes of subgroups.

The subgroup lattice has 1518 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2803C211yesmaximal, characteristic, complemented
2C2×#2796C211yesmaximal, characteristic, complemented
3C2×#2754C211yesmaximal, characteristic, complemented
4C2×#2737C211yesmaximal, characteristic, complemented
5C2×#2735C211yesmaximal, characteristic, complemented
6C2×#2723C211yesmaximal, characteristic, complemented
7C2×#2700C211yesmaximal, characteristic, complemented
8C2×#2670C211yesmaximal, characteristic
9#40160C2132yesmaximal, direct product factor
10C2×#2865C211yesmaximal, characteristic, complemented
11C2×#2578C211yesmaximal, characteristic, complemented
12C2×#2574C211yesmaximal, characteristic, complemented
13C2×#2557C211yesmaximal, characteristic, complemented
14C2×#2557C211yesmaximal, characteristic, complemented
15C2×#2521C211yesmaximal, characteristic, complemented
16C2×#2523C211yesmaximal, characteristic, complemented
17C2×#2518C211yesmaximal, characteristic, complemented
18C2×#2471C211yesmaximal, characteristic, complemented
19C2×#2448C211yesmaximal, characteristic, complemented
20C2×#2465C211yesmaximal, characteristic, complemented
21C2×#2467C211yesmaximal, characteristic, complemented
22C2×#2472C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic, complemented
24C2×#2418C211yesmaximal, characteristic, complemented
25C2×#2632C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2374C211yesmaximal, characteristic, complemented
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2323C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×C4×#124C211yesmaximal, characteristic, complemented
32C2×C4×#124C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic, complemented
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic, complemented
45C22×C4×Q8C2211yescharacteristic, complemented
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×#117C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51#2865C22116yescomplemented
52#2803C22116yescomplemented
53#2796C22116yescomplemented
54#2754C22116yescomplemented
55#2737C22116yescomplemented
56#2735C22116yescomplemented
57#2723C22116yescomplemented
58#2700C22116yescomplemented
59#2670C22116yes—
60#2632C22116yescomplemented
61#2630C22116yescomplemented
62#2578C22116yescomplemented
63#2574C22116yescomplemented
64#2557C22116yescomplemented
65#2557C22116yescomplemented
66#2523C22116yescomplemented
67#2521C22116yescomplemented
68#2518C22116yescomplemented
69#2472C22116yescomplemented
70#2472C22116yescomplemented
71#2471C22116yescomplemented
72#2467C22116yescomplemented
73#2465C22116yescomplemented
74#2448C22116yescomplemented
75#2418C22116yescomplemented
76C2×#400C2211yescharacteristic, complemented
77C2×#399C2211yescharacteristic
78C2×#399C2211yescharacteristic
79C2×#399C2211yescharacteristic, complemented
80C2×#399C2211yescharacteristic, complemented
81C2×#398C2211yescharacteristic, complemented
82C2×#397C2211yescharacteristic
83C2×#397C2211yescharacteristic
84C2×#397C2211yescharacteristic
85C2×#397C2211yescharacteristic
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#396C2211yescharacteristic
94C2×#396C2211yescharacteristic
95C2×#396C2211yescharacteristic, complemented
96C2×#395C2211yescharacteristic, complemented
97C2×#395C2211yescharacteristic, complemented
98C2×#395C2211yescharacteristic, complemented
99C2×#394C2211yescharacteristic
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic, complemented
108C2×#393C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic
111C2×#393C2211yescharacteristic, complemented
112C2×#393C2211yescharacteristic, complemented
113C2×#392C2211yescharacteristic
114C2×#392C2211yescharacteristic
115C2×#392C2211yescharacteristic
116#2374C22116yescomplemented
117#2342C22116yescomplemented
118#2323C22116yescomplemented
119#2321C22116yescomplemented
120C4×#124C22116yescomplemented
121C4×#124C22116yescomplemented
122C2×#391C2211yescharacteristic, complemented
123C2×#391C2211yescharacteristic, complemented
124C2×#391C2211yescharacteristic, complemented
125C2×#391C2211yescharacteristic, complemented
126C2×#391C2211yescharacteristic, complemented
127C2×#390C2211yescharacteristic
128C2×#390C2211yescharacteristic
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#390C2211yescharacteristic, complemented
134C2×#389C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#389C2211yescharacteristic, complemented
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
148C2×#388C2211yescharacteristic
149C2×#388C2211yescharacteristic
150C2×#388C2211yescharacteristic
151C2×#388C2211yescharacteristic
152C2×#388C2211yescharacteristic
153C2×#388C2211yescharacteristic
154C2×#388C2211yescharacteristic
155C2×#388C2211yescharacteristic
156C2×#388C2211yescharacteristic
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#387C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#383C2211yescharacteristic, complemented
195C2×#383C2211yescharacteristic, complemented
196C2×#382C2211yescharacteristic, complemented
197C2×#382C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic, complemented
202C2×#379C2211yescharacteristic
203C2×#379C2211yescharacteristic
204C2×#379C2211yescharacteristic
205C2×C4×C4⋊C4C2211yescharacteristic, complemented
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C22⋊C4C2211yescharacteristic
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C43C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C2×#126—44no—
237C2×#126C2318yescomplemented
238C2×#124—28no—
239C2×#124—28no—
240C2×#124—44no—
241C2×#124—44no—
242C2×#124C2318yes—
243C2×#124C2318yes—
244C2×#124C2318yes—
245C2×#124C2318yes—
246C2×#123—28no—
247C2×#123—44no—
248C2×#123C2318yes—
249C2×#123C2318yescomplemented
250C2×C22⋊Q8—28no—
251C2×C22⋊Q8—44no—
252C2×C22⋊Q8C2318yes—
253C2×C22⋊Q8C2318yes—
254C2×#120—28no—
255C2×#120—44no—
256C2×#120C2318yes—
257C2×#120C2318yes—
258C2×C4×Q8—44no—
259C2×C4×Q8—44no—
260C2×C4×Q8C2318yescomplemented
261C2×C4×Q8C2318yescomplemented
262C2×C4×D4—44no—
263C2×C4×D4—44no—
264C2×C4×D4C2318yes—
265C2×C4×D4C2318yes—
266C2×#117—44no—
267C2×#117C2318yes—
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C22⋊C4—28no—
295C22×C22⋊C4—44no—
296C22×C22⋊C4C2318yes—
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊C4C2318yes—
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366#400C2318yescomplemented
367#399C2318yes—
368#399C2318yes—
369#399C2318yescomplemented
370#399C2318yescomplemented
371#398C2318yescomplemented
372#397C2318yes—
373#397C2318yes—
374#397C2318yes—
375#397C2318yes—
376#397C2318yes—
377#397C2318yes—
378#397C2318yescomplemented
379#397C2318yescomplemented
380#397C2318yescomplemented
381#397C2318yescomplemented
382#397C2318yescomplemented
383#396C2318yes—
384#396C2318yes—
385#396C2318yescomplemented
386#395C2318yescomplemented
387#395C2318yescomplemented
388#395C2318yescomplemented
389#394C2318yes—
390#394C2318yes—
391#394C2318yes—
392#394C2318yes—
393#394C2318yes—
394#394C2318yes—
395#394C2318yes—
396#394C2318yes—
397#394C2318yescomplemented
398#393C2318yes—
399#393C2318yes—
400#393C2318yes—
401#393C2318yescomplemented
402#393C2318yescomplemented
403#392C2318yes—
404#392C2318yes—
405#392C2318yes—
406#391C2318yescomplemented
407#391C2318yescomplemented
408#391C2318yescomplemented
409#391C2318yescomplemented
410#391C2318yescomplemented
411#390C2318yes—
412#390C2318yes—
413#390C2318yes—
414#390C2318yes—
415#390C2318yes—
416#390C2318yes—
417#390C2318yescomplemented
418#389C2318yescomplemented
419#389C2318yescomplemented
420#389C2318yescomplemented
421#388C2318yes—
422#388C2318yes—
423#388C2318yes—
424#388C2318yes—
425#388C2318yes—
426#388C2318yes—
427#388C2318yes—
428#388C2318yes—
429#388C2318yes—
430#388C2318yes—
431#388C2318yes—
432#388C2318yes—
433#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yes—
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yes—
442#388C2318yes—
443#388C2318yescomplemented
444#388C2318yescomplemented
445#388C2318yescomplemented
446#388C2318yescomplemented
447#388C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#387C2318yescomplemented
451#387C2318yescomplemented
452#387C2318yescomplemented
453#387C2318yescomplemented
454#387C2318yescomplemented
455#387C2318yescomplemented
456#387C2318yescomplemented
457#387C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#387C2318yescomplemented
461#387C2318yescomplemented
462#387C2318yescomplemented
463#387C2318yescomplemented
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yescomplemented
474#385C2318yes—
475#385C2318yes—
476#385C2318yes—
477#385C2318yes—
478#383C2318yescomplemented
479#383C2318yescomplemented
480#382C2318yescomplemented
481#382C2318yescomplemented
482#381C2318yes—
483#380C2318yes—
484#380C2318yes—
485#380C2318yescomplemented
486#379C2318yes—
487#379C2318yes—
488#379C2318yes—
489C4×C4⋊C4C2318yescomplemented
490C4×C4⋊C4C2318yescomplemented
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yes—
495C4×C22⋊C4C2318yes—
496C4×C22⋊C4C2318yes—
497C4×C22⋊C4C2318yescomplemented
498C4×C22⋊C4C2318yescomplemented
499C4×C22⋊C4C2318yescomplemented
500C4×C22⋊C4C2318yescomplemented
501C4×C22⋊C4C2318yescomplemented
502C2×#95C2311yescharacteristic
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C43C2318yescomplemented
547C25—24no—
548C25—24no—
549C25—42no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C22×Q8—24no—
561C22×Q8—24no—
562C22×Q8—24no—
563C22×Q8—24no—
564C22×Q8—42no—
565C22×Q8—42no—
566C22×Q8—42no—
567C22×Q8—42no—
568C22×Q8—42no—
569C22×Q8C2414yes—
570C22×Q8C2414yes—
571C22×Q8C2414yes—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—42no—
580C22×D4—42no—
581C22×D4—42no—
582C22×D4—42no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4C2414yes—
594C22×D4C2414yes—
595C22×D4C2414yes—
596C22×D4C2414yes—
597C22×D4C2414yes—
598C22×D4C2414yes—
599C22×D4C2414yes—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—42no—
607C23×C4—42no—
608C23×C4—42no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—42no—
618C23×C4C2411yescharacteristic
619C23×C4C2411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C23×C4C2411yescharacteristic
623C23×C4C2411yescharacteristic
624C23×C4C2411yescharacteristic
625C23×C4C2411yescharacteristic
626C23×C4C2411yescharacteristic
627C23×C4C2411yescharacteristic
628C23×C4C2411yescharacteristic
629C23×C4C2411yescharacteristic
630C23×C4C2411yescharacteristic
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2414yes—
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2414yes—
646C23×C4C2414yes—
647C23×C4C2414yes—
648C23×C4C2414yes—
649C23×C4C2414yes—
650#126—416no—
651#124—232no—
652#124—232no—
653#124—416no—
654#124—416no—
655#123—232no—
656#123—416no—
657C22⋊Q8—232no—
658C22⋊Q8—416no—
659#120—232no—
660#120—416no—
661C4×Q8—416no—
662C4×Q8—416no—
663C4×D4—416no—
664C4×D4—416no—
665#117—416no—
666C2×C4⋊C4—24no—
667C2×C4⋊C4—24no—
668C2×C4⋊C4—24no—
669C2×C4⋊C4—24no—
670C2×C4⋊C4—24no—
671C2×C4⋊C4—24no—
672C2×C4⋊C4—24no—
673C2×C4⋊C4—24no—
674C2×C4⋊C4—24no—
675C2×C4⋊C4—42no—
676C2×C4⋊C4—42no—
677C2×C4⋊C4—42no—
678C2×C4⋊C4—42no—
679C2×C4⋊C4—42no—
680C2×C4⋊C4—42no—
681C2×C4⋊C4—42no—
682C2×C4⋊C4—42no—
683C2×C4⋊C4—42no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4C2414yes—
693C2×C4⋊C4C2414yes—
694C2×C4⋊C4C2414yes—
695C2×C4⋊C4C2414yes—
696C2×C4⋊C4C2414yes—
697C2×C4⋊C4C2414yes—
698C2×C4⋊C4C2414yes—
699C2×C4⋊C4C2414yes—
700C2×C4⋊C4C2414yes—
701C2×C4⋊C4C2414yes—
702C2×C4⋊C4C2414yes—
703C2×C4⋊C4C2414yes—
704C2×C4⋊C4C2414yes—
705C2×C4⋊C4C2414yes—
706C2×C4⋊C4C2414yes—
707C2×C4⋊C4C2414yes—
708C2×C4⋊C4C2414yes—
709C2×C4⋊C4C2414yes—
710C2×C4⋊C4C2414yes—
711C2×C4⋊C4C2414yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C22⋊C4—24no—
719C2×C22⋊C4—24no—
720C2×C22⋊C4—24no—
721C2×C22⋊C4—24no—
722C2×C22⋊C4—24no—
723C2×C22⋊C4—24no—
724C2×C22⋊C4—24no—
725C2×C22⋊C4—24no—
726C2×C22⋊C4—24no—
727C2×C22⋊C4—24no—
728C2×C22⋊C4—24no—
729C2×C22⋊C4—24no—
730C2×C22⋊C4—24no—
731C2×C22⋊C4—24no—
732C2×C22⋊C4—24no—
733C2×C22⋊C4—24no—
734C2×C22⋊C4—24no—
735C2×C22⋊C4—24no—
736C2×C22⋊C4—24no—
737C2×C22⋊C4—24no—
738C2×C22⋊C4—232no—
739C2×C22⋊C4—416no—
740C2×C22⋊C4—42no—
741C2×C22⋊C4—42no—
742C2×C22⋊C4—42no—
743C2×C22⋊C4—42no—
744C2×C22⋊C4—42no—
745C2×C22⋊C4—42no—
746C2×C22⋊C4—42no—
747C2×C22⋊C4—42no—
748C2×C22⋊C4—42no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—42no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4#4118yes—
771C2×C22⋊C4#4118yes—
772C2×C22⋊C4C2414yes—
773C2×C22⋊C4C2414yes—
774C2×C22⋊C4C2414yes—
775C2×C22⋊C4C2414yes—
776C2×C22⋊C4C2414yes—
777C2×C22⋊C4C2414yes—
778C2×C22⋊C4C2414yes—
779C2×C22⋊C4C2414yes—
780C2×C22⋊C4C2414yes—
781C2×C22⋊C4C2414yes—
782C2×C22⋊C4C2414yes—
783C2×C22⋊C4C2414yes—
784C2×C22⋊C4C2414yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C22⋊C4C2414yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2414yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C42—24no—
825C2×C42—24no—
826C2×C42—24no—
827C2×C42—24no—
828C2×C42—24no—
829C2×C42—24no—
830C2×C42—42no—
831C2×C42—42no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—42no—
835C2×C42—42no—
836C2×C42—42no—
837C2×C42—42no—
838C2×C42—42no—
839C2×C42—42no—
840C2×C42C2414yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851C2×C42C2414yes—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
855C2×C42C2414yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900C24—22no—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—28no—
934C24—28no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—44no—
940C24—416no—
941C24—416no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24—88no—
946C24—88no—
947C24C2×#4114yes—
948C24C2×#4114yes—
949C24C2512yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2511yescharacteristic
955C2×Q8—28no—
956C2×Q8—28no—
957C2×Q8—28no—
958C2×Q8—28no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—44no—
963C2×Q8—44no—
964C2×Q8—416no—
965C2×Q8—416no—
966C2×Q8—88no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—28no—
974C2×D4—44no—
975C2×D4—44no—
976C2×D4—416no—
977C2×D4—416no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—44no—
987C2×D4—44no—
988C2×D4—44no—
989C2×D4—44no—
990C2×D4—88no—
991C2×D4—88no—
992C2×D4—88no—
993C2×D4—88no—
994C2×D4—88no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—22no—
1004C22×C4—22no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—28no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—22no—
1049C22×C4—22no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—28no—
1069C22×C4—28no—
1070C22×C4—28no—
1071C22×C4—28no—
1072C22×C4—28no—
1073C22×C4—44no—
1074C22×C4—44no—
1075C22×C4—44no—
1076C22×C4—44no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—416no—
1086C22×C4—88no—
1087C22×C4—88no—
1088C22×C4—88no—
1089C22×C4—88no—
1090C22×C4—88no—
1091C22×C4C2×#4114yes—
1092C22×C4C2×#4114yes—
1093C22×C4C2×#4114yes—
1094C22×C4C2×#4114yes—
1095C22×C4H(5,𝔽2)14yes—
1096C22×C4H(5,𝔽2)14yes—
1097C22×C4C2512yes—
1098C22×C4C2512yes—
1099C22×C4C2512yes—
1100C22×C4C2512yes—
1101C22×C4C2512yes—
1102C22×C4C2512yes—
1103C22×C4C2512yes—
1104C22×C4C2512yes—
1105C22×C4C2512yes—
1106C22×C4C2512yes—
1107C22×C4C2512yes—
1108C22×C4C2512yes—
1109C22×C4C2512yes—
1110C22×C4C2512yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C4⋊C4—28no—
1124C4⋊C4—28no—
1125C4⋊C4—28no—
1126C4⋊C4—28no—
1127C4⋊C4—28no—
1128C4⋊C4—28no—
1129C4⋊C4—28no—
1130C4⋊C4—28no—
1131C4⋊C4—28no—
1132C4⋊C4—44no—
1133C4⋊C4—44no—
1134C4⋊C4—44no—
1135C4⋊C4—44no—
1136C4⋊C4—44no—
1137C4⋊C4—44no—
1138C4⋊C4—44no—
1139C4⋊C4—44no—
1140C4⋊C4—44no—
1141C4⋊C4—44no—
1142C4⋊C4—44no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C22⋊C4—28no—
1150C22⋊C4—28no—
1151C22⋊C4—28no—
1152C22⋊C4—28no—
1153C22⋊C4—28no—
1154C22⋊C4—28no—
1155C22⋊C4—28no—
1156C22⋊C4—28no—
1157C22⋊C4—28no—
1158C22⋊C4—28no—
1159C22⋊C4—28no—
1160C22⋊C4—28no—
1161C22⋊C4—28no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—44no—
1170C22⋊C4—44no—
1171C22⋊C4—44no—
1172C22⋊C4—44no—
1173C22⋊C4—44no—
1174C22⋊C4—44no—
1175C22⋊C4—44no—
1176C22⋊C4—44no—
1177C22⋊C4—44no—
1178C22⋊C4—44no—
1179C22⋊C4—44no—
1180C22⋊C4—44no—
1181C22⋊C4—44no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4C2×#41116yes—
1200C22⋊C4C2×#41116yes—
1201C42—28no—
1202C42—28no—
1203C42—28no—
1204C42—28no—
1205C42—28no—
1206C42—28no—
1207C42—44no—
1208C42—44no—
1209C42—44no—
1210C42—44no—
1211C42—44no—
1212C42—44no—
1213C42—44no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C23—22no—
1218C23—22no—
1219C23—22no—
1220C23—22no—
1221C23—22no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—28no—
1230C23—28no—
1231C23—28no—
1232C23—28no—
1233C23—28no—
1234C23—28no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—416no—
1257C23—416no—
1258C23—44no—
1259C23—44no—
1260C23—44no—
1261C23—44no—
1262C23—44no—
1263C23—44no—
1264C23—44no—
1265C23—44no—
1266C23—44no—
1267C23—44no—
1268C23—44no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—88no—
1288C23—88no—
1289C23—88no—
1290C23—88no—
1291C23—88no—
1292C23—864no—
1293C23C22×#4114yes—
1294C23C22×#4114yes—
1295C23C22×#4112yes—
1296C23C22×#4112yes—
1297C23C2×H(5,𝔽2)12yes—
1298C23C2×H(5,𝔽2)12yes—
1299C23#58512yes—
1300C23#58512yes—
1301C23#58512yes—
1302C23C2611yescharacteristic
1303Q8—416no—
1304Q8—416no—
1305Q8—88no—
1306D4—416no—
1307D4—416no—
1308D4—88no—
1309D4—88no—
1310D4—88no—
1311D4—88no—
1312D4—88no—
1313C2×C4—22no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—28no—
1326C2×C4—28no—
1327C2×C4—28no—
1328C2×C4—28no—
1329C2×C4—28no—
1330C2×C4—28no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—416no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—88no—
1413C2×C4—88no—
1414C2×C4—88no—
1415C2×C4—88no—
1416C2×C4—88no—
1417C2×C4C22×#4114yes—
1418C2×C4C22×#4114yes—
1419C2×C4C22×#4114yes—
1420C2×C4C22×#4114yes—
1421C2×C4C2×H(5,𝔽2)14yes—
1422C2×C4C2×H(5,𝔽2)14yes—
1423C22—24no—
1424C22—24no—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—42no—
1430C22—42no—
1431C22—42no—
1432C22—42no—
1433C22—42no—
1434C22—42no—
1435C22—42no—
1436C22—42no—
1437C22—416no—
1438C22—416no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—832no—
1461C22—88no—
1462C22—88no—
1463C22—88no—
1464C22#345514yes—
1465C22#348114yes—
1466C22#351014yes—
1467C22#351314yes—
1468C22#351414yes—
1469C22#354514yes—
1470C22#354614yes—
1471C22C23×#4111yescharacteristic
1472C22C23×#4111yescharacteristic
1473C22C22×H(5,𝔽2)11yescharacteristic
1474C22C22×H(5,𝔽2)11yescharacteristic
1475C22C2×#58511yescharacteristic
1476C22C2×#58511yescharacteristic
1477C22C2×#58511yescharacteristic
1478C4—24no—
1479C4—24no—
1480C4—24no—
1481C4—24no—
1482C4—24no—
1483C4—24no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C2—44no—
1505C2—44no—
1506C2—82no—
1507C2—82no—
1508C2—82no—
1509C2#4016018yesdirect product factor
1510C2C2×#345511yescharacteristic
1511C2C2×#348111yescharacteristic
1512C2C2×#354611yescharacteristic
1513C2C2×#354511yescharacteristic
1514C2C2×#351311yescharacteristic
1515C2C2×#351411yescharacteristic
1516C2C2×#351011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2670C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2803C2semidirect
2. C2×#2796C2semidirect
3. C2×#2754C2semidirect
4. C2×#2737C2semidirect
5. C2×#2735C2semidirect
6. C2×#2723C2semidirect
7. C2×#2700C2semidirect
9. #40160C2direct (N × H)
10. C2×#2865C2semidirect
11. C2×#2578C2semidirect
12. C2×#2574C2semidirect
13. C2×#2557C2semidirect
14. C2×#2557C2semidirect
15. C2×#2521C2semidirect
16. C2×#2523C2semidirect
17. C2×#2518C2semidirect
18. C2×#2471C2semidirect
19. C2×#2448C2semidirect
20. C2×#2465C2semidirect
21. C2×#2467C2semidirect
22. C2×#2472C2semidirect
23. C2×#2472C2semidirect
24. C2×#2418C2semidirect
25. C2×#2632C2semidirect
26. C2×#2630C2semidirect
27. C2×#2374C2semidirect
28. C2×#2342C2semidirect
29. C2×#2323C2semidirect
30. C2×#2321C2semidirect
31. C2×C4×#124C2semidirect
32. C2×C4×#124C2semidirect
33. C22×#126C22semidirect
39. C22×#123C22semidirect
44. C22×C4×Q8C22semidirect
45. C22×C4×Q8C22semidirect
51. #2865C22semidirect
52. #2803C22semidirect
53. #2796C22semidirect
54. #2754C22semidirect
55. #2737C22semidirect
56. #2735C22semidirect
57. #2723C22semidirect
58. #2700C22semidirect
60. #2632C22semidirect
61. #2630C22semidirect
62. #2578C22semidirect
63. #2574C22semidirect
64. #2557C22semidirect
65. #2557C22semidirect
66. #2523C22semidirect
67. #2521C22semidirect
68. #2518C22semidirect
69. #2472C22semidirect
70. #2472C22semidirect
71. #2471C22semidirect
72. #2467C22semidirect
73. #2465C22semidirect
74. #2448C22semidirect
75. #2418C22semidirect
76. C2×#400C22semidirect
79. C2×#399C22semidirect
80. C2×#399C22semidirect
81. C2×#398C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
95. C2×#396C22semidirect
96. C2×#395C22semidirect
97. C2×#395C22semidirect
98. C2×#395C22semidirect
107. C2×#394C22semidirect
111. C2×#393C22semidirect
112. C2×#393C22semidirect
116. #2374C22semidirect
117. #2342C22semidirect
118. #2323C22semidirect
119. #2321C22semidirect
120. C4×#124C22semidirect
121. C4×#124C22semidirect
122. C2×#391C22semidirect
123. C2×#391C22semidirect
124. C2×#391C22semidirect
125. C2×#391C22semidirect
126. C2×#391C22semidirect
133. C2×#390C22semidirect
134. C2×#389C22semidirect
135. C2×#389C22semidirect
136. C2×#389C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
169. C2×#387C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
189. C2×#386C22semidirect
194. C2×#383C22semidirect
195. C2×#383C22semidirect
196. C2×#382C22semidirect
197. C2×#382C22semidirect
201. C2×#380C22semidirect
205. C2×C4×C4⋊C4C22semidirect
206. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C43C22semidirect
237. C2×#126C23semidirect
249. C2×#123C23semidirect
260. C2×C4×Q8C23semidirect
261. C2×C4×Q8C23semidirect
366. #400C23semidirect
369. #399C23semidirect
370. #399C23semidirect
371. #398C23semidirect
378. #397C23semidirect
379. #397C23semidirect
380. #397C23semidirect
381. #397C23semidirect
382. #397C23semidirect
385. #396C23semidirect
386. #395C23semidirect
387. #395C23semidirect
388. #395C23semidirect
397. #394C23semidirect
401. #393C23semidirect
402. #393C23semidirect
406. #391C23semidirect
407. #391C23semidirect
408. #391C23semidirect
409. #391C23semidirect
410. #391C23semidirect
417. #390C23semidirect
418. #389C23semidirect
419. #389C23semidirect
420. #389C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #387C23semidirect
451. #387C23semidirect
452. #387C23semidirect
453. #387C23semidirect
454. #387C23semidirect
455. #387C23semidirect
456. #387C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
463. #387C23semidirect
473. #386C23semidirect
478. #383C23semidirect
479. #383C23semidirect
480. #382C23semidirect
481. #382C23semidirect
485. #380C23semidirect
489. C4×C4⋊C4C23semidirect
490. C4×C4⋊C4C23semidirect
497. C4×C22⋊C4C23semidirect
498. C4×C22⋊C4C23semidirect
499. C4×C22⋊C4C23semidirect
500. C4×C22⋊C4C23semidirect
501. C4×C22⋊C4C23semidirect
546. C43C23semidirect
1509. C2#40160direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28032
C2×#27962
C2×#27542
C2×#27372
C2×#27352
C2×#27232
C2×#27002
C2×#26702
#401602
C2×#28652
C2×#25782
C2×#25742
C2×#25572
C2×#25212
C2×#25232
C2×#25182
C2×#24712
C2×#24482
C2×#24652
C2×#24672
C2×#24722
C2×#24182
C2×#26322
C2×#26302
C2×#23742
C2×#23422
C2×#23232
C2×#23212
C2×C4×#1242