Finite Group Databasebeta

← C2×#37988 #7635161

Subgroups — C2×#37988 #7635161

Order 512.

6780 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2784C211yesmaximal, characteristic, complemented
2C2×#2770C211yesmaximal, characteristic, complemented
3C2×#2750C211yesmaximal, characteristic, complemented
4C2×#2735C211yesmaximal, characteristic, complemented
5C2×#2686C211yesmaximal, characteristic, complemented
6C2×#2684C211yesmaximal, characteristic, complemented
7C2×#2684C211yesmaximal, characteristic, complemented
8C2×#2678C211yesmaximal, characteristic
9#37988C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2599C211yesmaximal, characteristic, complemented
12C2×#2598C211yesmaximal, characteristic, complemented
13C2×#2575C211yesmaximal, characteristic, complemented
14C2×#2573C211yesmaximal, characteristic, complemented
15C2×#2572C211yesmaximal, characteristic, complemented
16C2×#2572C211yesmaximal, characteristic, complemented
17C2×#2523C211yesmaximal, characteristic, complemented
18C2×#2518C211yesmaximal, characteristic, complemented
19C2×#2470C211yesmaximal, characteristic, complemented
20C2×#2474C211yesmaximal, characteristic, complemented
21C2×#2458C211yesmaximal, characteristic, complemented
22C2×#2457C211yesmaximal, characteristic, complemented
23C2×#2419C211yesmaximal, characteristic, complemented
24C2×#2459C211yesmaximal, characteristic, complemented
25C2×#2665C211yesmaximal, characteristic, complemented
26C2×#2630C211yesmaximal, characteristic, complemented
27C2×#2367C211yesmaximal, characteristic, complemented
28C2×#2364C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2318C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C2×#2280C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×C4×Q8C2211yescharacteristic, complemented
43C22×C4×D4C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic, complemented
47C22×#117C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2849C22116yescomplemented
50#2784C22116yescomplemented
51#2770C22116yescomplemented
52#2750C22116yescomplemented
53#2735C22116yescomplemented
54#2686C22116yescomplemented
55#2684C22116yescomplemented
56#2684C22116yescomplemented
57#2678C22116yes—
58#2665C22116yescomplemented
59#2630C22116yescomplemented
60#2599C22116yescomplemented
61#2598C22116yescomplemented
62#2575C22116yescomplemented
63#2573C22116yescomplemented
64#2572C22116yescomplemented
65#2572C22116yescomplemented
66#2523C22116yescomplemented
67#2518C22116yescomplemented
68#2474C22116yescomplemented
69#2470C22116yescomplemented
70#2459C22116yescomplemented
71#2458C22116yescomplemented
72#2457C22116yescomplemented
73#2419C22116yescomplemented
74C2×#400C2211yescharacteristic, complemented
75C2×#400C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#399C2211yescharacteristic
81C2×#398C2211yescharacteristic, complemented
82C2×#398C2211yescharacteristic, complemented
83C2×#397C2211yescharacteristic
84C2×#397C2211yescharacteristic
85C2×#397C2211yescharacteristic
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic
88C2×#397C2211yescharacteristic
89C2×#397C2211yescharacteristic
90C2×#397C2211yescharacteristic
91C2×#396C2211yescharacteristic
92C2×#396C2211yescharacteristic
93C2×#396C2211yescharacteristic
94C2×#396C2211yescharacteristic, complemented
95C2×#396C2211yescharacteristic, complemented
96C2×#395C2211yescharacteristic, complemented
97C2×#395C2211yescharacteristic, complemented
98C2×#394C2211yescharacteristic
99C2×#394C2211yescharacteristic
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic, complemented
105C2×#394C2211yescharacteristic, complemented
106C2×#393C2211yescharacteristic
107C2×#393C2211yescharacteristic
108C2×#393C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic, complemented
111C2×#393C2211yescharacteristic, complemented
112C2×#392C2211yescharacteristic
113C2×#392C2211yescharacteristic
114#2367C22116yescomplemented
115#2364C22116yescomplemented
116#2335C22116yescomplemented
117#2318C22116yescomplemented
118C4×#120C22116yescomplemented
119C2×#391C2211yescharacteristic, complemented
120C2×#391C2211yescharacteristic, complemented
121C2×#391C2211yescharacteristic, complemented
122C2×#390C2211yescharacteristic
123C2×#390C2211yescharacteristic
124C2×#389C2211yescharacteristic, complemented
125C2×#389C2211yescharacteristic, complemented
126C2×#388C2211yescharacteristic
127C2×#388C2211yescharacteristic
128C2×#388C2211yescharacteristic
129C2×#388C2211yescharacteristic
130C2×#388C2211yescharacteristic
131C2×#388C2211yescharacteristic
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic, complemented
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#388C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic, complemented
174C2×#385C2211yescharacteristic
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#383C2211yescharacteristic, complemented
186C2×#383C2211yescharacteristic, complemented
187C2×#383C2211yescharacteristic, complemented
188C2×#383C2211yescharacteristic, complemented
189C2×#382C2211yescharacteristic, complemented
190#2280C22116yescomplemented
191C2×#381C2211yescharacteristic
192C2×#381C2211yescharacteristic
193C2×#381C2211yescharacteristic
194C2×#381C2211yescharacteristic
195C2×#381C2211yescharacteristic, complemented
196C2×#381C2211yescharacteristic, complemented
197C2×#380C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic, complemented
202C2×#379C2211yescharacteristic
203C2×#379C2211yescharacteristic
204C2×#379C2211yescharacteristic
205C2×#379C2211yescharacteristic
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C4⋊C4C2211yescharacteristic, complemented
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C24×C4—28no—
230C24×C4—44no—
231C24×C4—44no—
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2318yes—
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C2×#124—28no—
244C2×#124—44no—
245C2×#124C2318yes—
246C2×#124C2318yes—
247C2×#123—28no—
248C2×#123—44no—
249C2×#123—44no—
250C2×#123C2318yes—
251C2×#123C2318yes—
252C2×#123C2318yes—
253C2×#121—28no—
254C2×#121C2318yes—
255C2×#120—28no—
256C2×#120—44no—
257C2×#120C2318yes—
258C2×#120C2318yes—
259C2×C4×Q8—44no—
260C2×C4×Q8C2318yescomplemented
261C2×C4×D4—28no—
262C2×C4×D4—44no—
263C2×C4×D4—44no—
264C2×C4×D4—44no—
265C2×C4×D4C2318yes—
266C2×C4×D4C2318yes—
267C2×C4×D4C2318yes—
268C2×C4×D4C2318yescomplemented
269C2×#117—44no—
270C2×#117—44no—
271C2×#117C2318yes—
272C2×#117C2318yes—
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×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊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⋊C4C2311yescharacteristic
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×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#400C2318yescomplemented
359#400C2318yescomplemented
360#400C2318yescomplemented
361#400C2318yescomplemented
362#400C2318yescomplemented
363#400C2318yescomplemented
364#399C2318yes—
365#398C2318yescomplemented
366#398C2318yescomplemented
367#397C2318yes—
368#397C2318yes—
369#397C2318yes—
370#397C2318yes—
371#397C2318yes—
372#397C2318yes—
373#397C2318yes—
374#397C2318yes—
375#396C2318yes—
376#396C2318yes—
377#396C2318yes—
378#396C2318yescomplemented
379#396C2318yescomplemented
380#395C2318yescomplemented
381#395C2318yescomplemented
382#394C2318yes—
383#394C2318yes—
384#394C2318yes—
385#394C2318yes—
386#394C2318yes—
387#394C2318yes—
388#394C2318yescomplemented
389#394C2318yescomplemented
390#393C2318yes—
391#393C2318yes—
392#393C2318yes—
393#393C2318yes—
394#393C2318yescomplemented
395#393C2318yescomplemented
396#392C2318yes—
397#392C2318yes—
398#391C2318yescomplemented
399#391C2318yescomplemented
400#391C2318yescomplemented
401#390C2318yes—
402#390C2318yes—
403#389C2318yescomplemented
404#389C2318yescomplemented
405#388C2318yes—
406#388C2318yes—
407#388C2318yes—
408#388C2318yes—
409#388C2318yes—
410#388C2318yes—
411#388C2318yes—
412#388C2318yes—
413#388C2318yes—
414#388C2318yes—
415#388C2318yes—
416#388C2318yescomplemented
417#388C2318yescomplemented
418#388C2318yescomplemented
419#388C2318yescomplemented
420#388C2318yescomplemented
421#388C2318yescomplemented
422#388C2318yescomplemented
423#388C2318yescomplemented
424#388C2318yescomplemented
425#387C2318yescomplemented
426#387C2318yescomplemented
427#387C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#386C2318yes—
439#386C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#386C2318yes—
449#386C2318yes—
450#386C2318yes—
451#386C2318yes—
452#386C2318yescomplemented
453#385C2318yes—
454#385C2318yes—
455#385C2318yes—
456#385C2318yes—
457#385C2318yes—
458#385C2318yes—
459#385C2318yes—
460#385C2318yescomplemented
461#385C2318yescomplemented
462#385C2318yescomplemented
463#385C2318yescomplemented
464#383C2318yescomplemented
465#383C2318yescomplemented
466#383C2318yescomplemented
467#383C2318yescomplemented
468#382C2318yescomplemented
469#381C2318yes—
470#381C2318yes—
471#381C2318yes—
472#381C2318yes—
473#381C2318yescomplemented
474#381C2318yescomplemented
475#380C2318yes—
476#380C2318yes—
477#380C2318yes—
478#380C2318yes—
479#380C2318yescomplemented
480#379C2318yes—
481#379C2318yes—
482#379C2318yes—
483#379C2318yes—
484C4×C4⋊C4C2318yescomplemented
485C4×C4⋊C4C2318yescomplemented
486C4×C22⋊C4C2318yes—
487C4×C22⋊C4C2318yes—
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yescomplemented
494C4×C22⋊C4C2318yescomplemented
495C4×C22⋊C4C2318yescomplemented
496C2×#95C2311yescharacteristic
497C2×#95C2311yescharacteristic
498C2×#95C2311yescharacteristic
499C2×#95C2311yescharacteristic
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
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
546C2×#95C2318yescomplemented
547C25—24no—
548C25—24no—
549C25—24no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C22×Q8—24no—
561C22×Q8—42no—
562C22×Q8—42no—
563C22×Q8—42no—
564C22×Q8—42no—
565C22×Q8—42no—
566C22×Q8C2414yes—
567C22×Q8C2414yes—
568C22×D4—24no—
569C22×D4—24no—
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—42no—
577C22×D4—42no—
578C22×D4—42no—
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#4118yes—
589C22×D4C2414yes—
590C22×D4C2414yes—
591C22×D4C2414yes—
592C22×D4C2414yes—
593C22×D4C2414yes—
594C22×D4C2414yes—
595C22×D4C2414yes—
596C23×C4—24no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—232no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—24no—
608C23×C4—24no—
609C23×C4—416no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—416no—
618C23×C4—42no—
619C23×C4—42no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
625C23×C4—42no—
626C23×C4—42no—
627C23×C4—42no—
628C23×C4—464no—
629C23×C4#4118yes—
630C23×C4C2414yes—
631C23×C4C2411yescharacteristic
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2414yes—
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2414yes—
661C23×C4C2414yes—
662C23×C4C2414yes—
663C23×C4C2414yes—
664C23×C4C2414yes—
665C23×C4C2414yes—
666#124—232no—
667#124—416no—
668#123—232no—
669#123—416no—
670#123—416no—
671#121—232no—
672#120—232no—
673#120—416no—
674C4×Q8—416no—
675C4×D4—232no—
676C4×D4—416no—
677C4×D4—416no—
678C4×D4—416no—
679#117—416no—
680#117—416no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
683C2×C4⋊C4—24no—
684C2×C4⋊C4—24no—
685C2×C4⋊C4—24no—
686C2×C4⋊C4—24no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
723C2×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
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—24no—
739C2×C22⋊C4—24no—
740C2×C22⋊C4—24no—
741C2×C22⋊C4—24no—
742C2×C22⋊C4—24no—
743C2×C22⋊C4—24no—
744C2×C22⋊C4—24no—
745C2×C22⋊C4—24no—
746C2×C22⋊C4—24no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—24no—
749C2×C22⋊C4—24no—
750C2×C22⋊C4—24no—
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—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
778C2×C22⋊C4—42no—
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×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C42—24no—
828C2×C42—24no—
829C2×C42—24no—
830C2×C42—24no—
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×C42C2414yes—
840C2×C42C2414yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851#95C2414yes—
852#95C2414yes—
853#95C2414yes—
854#95C2414yes—
855#95C2414yes—
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—
900#95C2414yes—
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—28no—
928C24—28no—
929C24—22no—
930C24—22no—
931C24—28no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—416no—
940C24—416no—
941C24—416no—
942C24—416no—
943C24—416no—
944C24—416no—
945C24—416no—
946C24C2×#4114yes—
947C24C2×#4114yes—
948C24C2×#4114yes—
949C24H(5,𝔽2)14yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2512yes—
955C24C2511yescharacteristic
956C2×Q8—28no—
957C2×Q8—44no—
958C2×Q8—44no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—416no—
963C2×Q8—88no—
964C2×D4—28no—
965C2×D4—28no—
966C2×D4—28no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—416no—
975C2×D4—44no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—416no—
986C2×D4—416no—
987C2×D4—416no—
988C2×D4—88no—
989C2×D4—88no—
990C2×D4—88no—
991C2×D4C2×#41116yes—
992C22×C4—232no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—28no—
1001C22×C4—22no—
1002C22×C4—28no—
1003C22×C4—28no—
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—28no—
1020C22×C4—22no—
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—28no—
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—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—28no—
1073C22×C4—28no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—28no—
1077C22×C4—28no—
1078C22×C4—28no—
1079C22×C4—416no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—416no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—44no—
1098C22×C4—416no—
1099C22×C4—416no—
1100C22×C4—4128no—
1101C22×C4—416no—
1102C22×C4—88no—
1103C22×C4—88no—
1104C22×C4—88no—
1105C22×C4—88no—
1106C22×C4C2×#4114yes—
1107C22×C4C2×#4114yes—
1108C22×C4C2×#4114yes—
1109C22×C4C2×#41116yes—
1110C22×C4H(5,𝔽2)14yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
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⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C42—28no—
1211C42—28no—
1212C42—28no—
1213C42—28no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—28no—
1247C23—28no—
1248C23—28no—
1249C23—28no—
1250C23—28no—
1251C23—28no—
1252C23—28no—
1253C23—28no—
1254C23—28no—
1255C23—28no—
1256C23—28no—
1257C23—28no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—416no—
1266C23—416no—
1267C23—416no—
1268C23—416no—
1269C23—416no—
1270C23—416no—
1271C23—416no—
1272C23—4128no—
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—44no—
1288C23—44no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—44no—
1293C23—44no—
1294C23—44no—
1295C23—44no—
1296C23C22×#4114yes—
1297C23C22×#4114yes—
1298C23C22×#4114yes—
1299C23C22×#4112yes—
1300C23C22×#4112yes—
1301C23C2×H(5,𝔽2)14yes—
1302C23C2×H(5,𝔽2)12yes—
1303C23C2×H(5,𝔽2)12yes—
1304C23#58512yes—
1305C23#58512yes—
1306C23#58512yes—
1307C23C2611yescharacteristic
1308Q8—416no—
1309Q8—88no—
1310D4—416no—
1311D4—416no—
1312D4—416no—
1313D4—416no—
1314D4—88no—
1315D4—88no—
1316D4—88no—
1317C2×C4—232no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—28no—
1327C2×C4—28no—
1328C2×C4—28no—
1329C2×C4—28no—
1330C2×C4—22no—
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—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—416no—
1397C2×C4—416no—
1398C2×C4—416no—
1399C2×C4—416no—
1400C2×C4—416no—
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—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—88no—
1424C2×C4—88no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4C22×#4114yes—
1428C2×C4C22×#4114yes—
1429C2×C4C22×#4114yes—
1430C2×C4C2×H(5,𝔽2)14yes—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—464no—
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—416no—
1458C22—416no—
1459C22—416no—
1460C22—416no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—88no—
1472C22#345914yes—
1473C22#347514yes—
1474C22#349014yes—
1475C22#349314yes—
1476C22#351314yes—
1477C22#353314yes—
1478C22#354014yes—
1479C22C23×#4111yescharacteristic
1480C22C23×#4111yescharacteristic
1481C22C22×H(5,𝔽2)11yescharacteristic
1482C22C22×H(5,𝔽2)11yescharacteristic
1483C22C2×#58511yescharacteristic
1484C22C2×#58511yescharacteristic
1485C22C2×#58511yescharacteristic
1486C4—24no—
1487C4—24no—
1488C4—24no—
1489C4—24no—
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—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C2—44no—
1513C2—44no—
1514C2—44no—
1515C2—44no—
1516C2—82no—
1517C2#3798818yesdirect product factor
1518C2C2×#345911yescharacteristic
1519C2C2×#347511yescharacteristic
1520C2C2×#353311yescharacteristic
1521C2C2×#354011yescharacteristic
1522C2C2×#349011yescharacteristic
1523C2C2×#351311yescharacteristic
1524C2C2×#349311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2678C2
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×#2784C2semidirect
2. C2×#2770C2semidirect
3. C2×#2750C2semidirect
4. C2×#2735C2semidirect
5. C2×#2686C2semidirect
6. C2×#2684C2semidirect
7. C2×#2684C2semidirect
9. #37988C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2599C2semidirect
12. C2×#2598C2semidirect
13. C2×#2575C2semidirect
14. C2×#2573C2semidirect
15. C2×#2572C2semidirect
16. C2×#2572C2semidirect
17. C2×#2523C2semidirect
18. C2×#2518C2semidirect
19. C2×#2470C2semidirect
20. C2×#2474C2semidirect
21. C2×#2458C2semidirect
22. C2×#2457C2semidirect
23. C2×#2419C2semidirect
24. C2×#2459C2semidirect
25. C2×#2665C2semidirect
26. C2×#2630C2semidirect
27. C2×#2367C2semidirect
28. C2×#2364C2semidirect
29. C2×#2335C2semidirect
30. C2×#2318C2semidirect
31. C2×C4×#120C2semidirect
32. C2×#2280C2semidirect
42. C22×C4×Q8C22semidirect
46. C22×C4×D4C22semidirect
49. #2849C22semidirect
50. #2784C22semidirect
51. #2770C22semidirect
52. #2750C22semidirect
53. #2735C22semidirect
54. #2686C22semidirect
55. #2684C22semidirect
56. #2684C22semidirect
58. #2665C22semidirect
59. #2630C22semidirect
60. #2599C22semidirect
61. #2598C22semidirect
62. #2575C22semidirect
63. #2573C22semidirect
64. #2572C22semidirect
65. #2572C22semidirect
66. #2523C22semidirect
67. #2518C22semidirect
68. #2474C22semidirect
69. #2470C22semidirect
70. #2459C22semidirect
71. #2458C22semidirect
72. #2457C22semidirect
73. #2419C22semidirect
74. C2×#400C22semidirect
75. C2×#400C22semidirect
76. C2×#400C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
81. C2×#398C22semidirect
82. C2×#398C22semidirect
94. C2×#396C22semidirect
95. C2×#396C22semidirect
96. C2×#395C22semidirect
97. C2×#395C22semidirect
104. C2×#394C22semidirect
105. C2×#394C22semidirect
110. C2×#393C22semidirect
111. C2×#393C22semidirect
114. #2367C22semidirect
115. #2364C22semidirect
116. #2335C22semidirect
117. #2318C22semidirect
118. C4×#120C22semidirect
119. C2×#391C22semidirect
120. C2×#391C22semidirect
121. C2×#391C22semidirect
124. C2×#389C22semidirect
125. C2×#389C22semidirect
137. C2×#388C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
143. C2×#388C22semidirect
144. C2×#388C22semidirect
145. C2×#388C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
149. C2×#387C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
173. C2×#386C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#383C22semidirect
186. C2×#383C22semidirect
187. C2×#383C22semidirect
188. C2×#383C22semidirect
189. C2×#382C22semidirect
190. #2280C22semidirect
195. C2×#381C22semidirect
196. C2×#381C22semidirect
201. C2×#380C22semidirect
206. C2×C4×C4⋊C4C22semidirect
207. C2×C4×C4⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
260. C2×C4×Q8C23semidirect
268. C2×C4×D4C23semidirect
358. #400C23semidirect
359. #400C23semidirect
360. #400C23semidirect
361. #400C23semidirect
362. #400C23semidirect
363. #400C23semidirect
365. #398C23semidirect
366. #398C23semidirect
378. #396C23semidirect
379. #396C23semidirect
380. #395C23semidirect
381. #395C23semidirect
388. #394C23semidirect
389. #394C23semidirect
394. #393C23semidirect
395. #393C23semidirect
398. #391C23semidirect
399. #391C23semidirect
400. #391C23semidirect
403. #389C23semidirect
404. #389C23semidirect
416. #388C23semidirect
417. #388C23semidirect
418. #388C23semidirect
419. #388C23semidirect
420. #388C23semidirect
421. #388C23semidirect
422. #388C23semidirect
423. #388C23semidirect
424. #388C23semidirect
425. #387C23semidirect
426. #387C23semidirect
427. #387C23semidirect
428. #387C23semidirect
429. #387C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
452. #386C23semidirect
460. #385C23semidirect
461. #385C23semidirect
462. #385C23semidirect
463. #385C23semidirect
464. #383C23semidirect
465. #383C23semidirect
466. #383C23semidirect
467. #383C23semidirect
468. #382C23semidirect
473. #381C23semidirect
474. #381C23semidirect
479. #380C23semidirect
484. C4×C4⋊C4C23semidirect
485. C4×C4⋊C4C23semidirect
493. C4×C22⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. C4×C22⋊C4C23semidirect
546. C2×#95C23semidirect
1517. C2#37988direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27842
C2×#27702
C2×#27502
C2×#27352
C2×#26862
C2×#26842
C2×#26782
#379882
C2×#28492
C2×#25992
C2×#25982
C2×#25752
C2×#25732
C2×#25722
C2×#25232
C2×#25182
C2×#24702
C2×#24742
C2×#24582
C2×#24572
C2×#24192
C2×#24592
C2×#26652
C2×#26302
C2×#23672
C2×#23642
C2×#23352
C2×#23182
C2×C4×#1202
C2×#22802