Finite Group Databasebeta

← C2×#36242 #7629890

Subgroups — C2×#36242 #7629890

Order 512.

8140 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2853C211yesmaximal, characteristic, complemented
2C2×#2852C211yesmaximal, characteristic, complemented
3C2×#2848C211yesmaximal, characteristic, complemented
4#36242C2132yesmaximal, direct product factor
5C2×#2597C211yesmaximal, characteristic, complemented
6C2×#2595C211yesmaximal, characteristic, complemented
7C2×#2578C211yesmaximal, characteristic, complemented
8C2×#2578C211yesmaximal, characteristic, complemented
9C2×#2576C211yesmaximal, characteristic, complemented
10C2×#2569C211yesmaximal, characteristic, complemented
11C2×#2561C211yesmaximal, characteristic, complemented
12C2×#2560C211yesmaximal, characteristic, complemented
13C2×#2531C211yesmaximal, characteristic, complemented
14C2×#2510C211yesmaximal, characteristic, complemented
15C2×#2493C211yesmaximal, characteristic, complemented
16C2×#2488C211yesmaximal, characteristic, complemented
17C2×#2483C211yesmaximal, characteristic, complemented
18C2×#2477C211yesmaximal, characteristic, complemented
19C2×#2450C211yesmaximal, characteristic, complemented
20C2×#2419C211yesmaximal, characteristic, complemented
21C2×#2480C211yesmaximal, characteristic, complemented
22C2×#2405C211yesmaximal, characteristic
23C2×#2368C211yesmaximal, characteristic, complemented
24C2×#2343C211yesmaximal, characteristic, complemented
25C2×#2342C211yesmaximal, characteristic, complemented
26C2×#2342C211yesmaximal, characteristic, complemented
27C2×#2342C211yesmaximal, characteristic, complemented
28C2×D4×C22⋊C4C211yesmaximal, characteristic
29C2×C4×#123C211yesmaximal, characteristic, complemented
30C2×#2290C211yesmaximal, characteristic, complemented
31C22×#386C211yesmaximal, characteristic
32C22×C4×C22⋊C4C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C22×#126C2211yescharacteristic, complemented
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic, complemented
45C23×C22⋊C4C2211yescharacteristic
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C22⋊C4C2211yescharacteristic
49C23×C22⋊C4C2211yescharacteristic
50C23×C22⋊C4C2211yescharacteristic
51C23×C42C2211yescharacteristic, complemented
52C23×C42C2211yescharacteristic, complemented
53#2853C22116yescomplemented
54#2852C22116yescomplemented
55#2848C22116yescomplemented
56#2597C22116yescomplemented
57#2595C22116yescomplemented
58#2578C22116yescomplemented
59#2578C22116yescomplemented
60#2576C22116yescomplemented
61#2569C22116yescomplemented
62#2561C22116yescomplemented
63#2560C22116yescomplemented
64#2531C22116yescomplemented
65#2510C22116yescomplemented
66#2493C22116yescomplemented
67#2488C22116yescomplemented
68#2483C22116yescomplemented
69#2480C22116yescomplemented
70#2477C22116yescomplemented
71#2450C22116yescomplemented
72#2419C22116yescomplemented
73#2405C22116yes—
74C2×#401C2211yescharacteristic, complemented
75C2×#400C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#398C2211yescharacteristic, complemented
81C2×#398C2211yescharacteristic, complemented
82C2×#397C2211yescharacteristic, complemented
83C2×#397C2211yescharacteristic, complemented
84C2×#397C2211yescharacteristic, complemented
85C2×#397C2211yescharacteristic, complemented
86C2×#397C2211yescharacteristic, complemented
87C2×#397C2211yescharacteristic, complemented
88C2×#397C2211yescharacteristic, complemented
89C2×#397C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#396C2211yescharacteristic, complemented
92C2×#394C2211yescharacteristic
93C2×#394C2211yescharacteristic
94C2×#394C2211yescharacteristic
95C2×#394C2211yescharacteristic
96C2×#393C2211yescharacteristic, complemented
97C2×#393C2211yescharacteristic, complemented
98#2368C22116yescomplemented
99#2343C22116yescomplemented
100#2342C22116yescomplemented
101#2342C22116yescomplemented
102#2342C22116yescomplemented
103D4×C22⋊C4C22116yes—
104C4×#123C22116yescomplemented
105C2×#391C2211yescharacteristic, complemented
106C2×#391C2211yescharacteristic, complemented
107C2×#390C2211yescharacteristic
108C2×#390C2211yescharacteristic
109#2290C22116yescomplemented
110C2×#388C2211yescharacteristic, complemented
111C2×#388C2211yescharacteristic, complemented
112C2×#388C2211yescharacteristic, complemented
113C2×#388C2211yescharacteristic, complemented
114C2×#388C2211yescharacteristic, complemented
115C2×#388C2211yescharacteristic, complemented
116C2×#388C2211yescharacteristic, complemented
117C2×#388C2211yescharacteristic, complemented
118C2×#388C2211yescharacteristic, complemented
119C2×#388C2211yescharacteristic, complemented
120C2×#388C2211yescharacteristic, complemented
121C2×#388C2211yescharacteristic, complemented
122C2×#388C2211yescharacteristic, complemented
123C2×#388C2211yescharacteristic, complemented
124C2×#388C2211yescharacteristic, complemented
125C2×#388C2211yescharacteristic, complemented
126C2×#388C2211yescharacteristic, complemented
127C2×#388C2211yescharacteristic, complemented
128C2×#388C2211yescharacteristic, complemented
129C2×#387C2211yescharacteristic, complemented
130C2×#387C2211yescharacteristic, complemented
131C2×#387C2211yescharacteristic, complemented
132C2×#387C2211yescharacteristic, complemented
133C2×#387C2211yescharacteristic, complemented
134C2×#387C2211yescharacteristic, complemented
135C2×#387C2211yescharacteristic, complemented
136C2×#387C2211yescharacteristic, complemented
137C2×#387C2211yescharacteristic, complemented
138C2×#387C2211yescharacteristic, complemented
139C2×#387C2211yescharacteristic, complemented
140C2×#387C2211yescharacteristic, complemented
141C2×#387C2211yescharacteristic, complemented
142C2×#387C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#386C2211yescharacteristic
145C2×#386C2211yescharacteristic
146C2×#386C2211yescharacteristic
147C2×#386C2211yescharacteristic
148C2×#386C2211yescharacteristic
149C2×#386C2211yescharacteristic
150C2×#386C2211yescharacteristic
151C2×#386C2211yescharacteristic
152C2×#386C2211yescharacteristic
153C2×#386C2211yescharacteristic
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C22116yes—
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#385C2211yescharacteristic
160C2×#385C2211yescharacteristic
161C2×#385C2211yescharacteristic
162C2×#385C2211yescharacteristic
163C2×#385C2211yescharacteristic
164C2×#385C2211yescharacteristic
165C2×#385C2211yescharacteristic, complemented
166C2×#385C2211yescharacteristic, complemented
167C2×#385C2211yescharacteristic, complemented
168C2×#385C2211yescharacteristic, complemented
169C2×#385C2211yescharacteristic, complemented
170C2×#385C2211yescharacteristic, complemented
171C2×#385C2211yescharacteristic, complemented
172C2×#385C2211yescharacteristic, complemented
173C2×#385C2211yescharacteristic, complemented
174C2×#385C2211yescharacteristic, complemented
175C2×#383C2211yescharacteristic, complemented
176C2×#383C2211yescharacteristic, complemented
177C2×#382C2211yescharacteristic, complemented
178C2×#381C2211yescharacteristic
179C2×#381C2211yescharacteristic
180C2×#381C2211yescharacteristic
181C2×#381C2211yescharacteristic, complemented
182C2×#381C2211yescharacteristic, complemented
183C2×#381C2211yescharacteristic, complemented
184C2×#380C2211yescharacteristic
185C2×#380C2211yescharacteristic
186C2×#380C2211yescharacteristic
187C2×#380C2211yescharacteristic, complemented
188C2×#380C2211yescharacteristic, complemented
189C2×#380C2211yescharacteristic, complemented
190C2×#379C2211yescharacteristic
191C2×#379C2211yescharacteristic
192C2×#379C2211yescharacteristic
193C2×#379C2211yescharacteristic
194C2×#379C2211yescharacteristic
195C2×C4×C4⋊C4C2211yescharacteristic, complemented
196C2×C4×C4⋊C4C2211yescharacteristic, complemented
197C2×C4×C4⋊C4C2211yescharacteristic, complemented
198C2×C4×C22⋊C4C2211yescharacteristic
199C2×C4×C22⋊C4C2211yescharacteristic
200C2×C4×C22⋊C4C2211yescharacteristic
201C2×C4×C22⋊C4C2211yescharacteristic
202C2×C4×C22⋊C4C2211yescharacteristic
203C2×C4×C22⋊C4C2211yescharacteristic
204C2×C4×C22⋊C4C2211yescharacteristic, complemented
205C2×C4×C22⋊C4C2211yescharacteristic, complemented
206C2×C4×C22⋊C4C2211yescharacteristic, complemented
207C2×C4×C22⋊C4C2211yescharacteristic, complemented
208C2×C4×C22⋊C4C2211yescharacteristic, complemented
209C2×C4×C22⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic, complemented
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C22116yescomplemented
214C2×#376C2211yescharacteristic, complemented
215C22×#95C2211yescharacteristic
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4—28no—
223C23×D4—28no—
224C23×D4—44no—
225C23×D4C2311yescharacteristic
226C23×D4C2318yes—
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C24×C4—28no—
231C24×C4—44no—
232C24×C4—44no—
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2318yes—
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C2×#126—44no—
250C2×#126C2318yescomplemented
251C2×#123—28no—
252C2×#123—44no—
253C2×#123C2318yes—
254C2×#123C2318yes—
255C2×C22⋊Q8—28no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8C2318yes—
259C2×C22⋊Q8C2318yescomplemented
260C2×C22⋊Q8C2318yescomplemented
261C2×C4×D4—28no—
262C2×C4×D4—44no—
263C2×C4×D4C2318yes—
264C2×C4×D4C2318yes—
265C2×#117—28no—
266C2×#117—44no—
267C2×#117C2318yes—
268C2×#117C2318yescomplemented
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×C22⋊C4—28no—
293C22×C22⋊C4—28no—
294C22×C22⋊C4—28no—
295C22×C22⋊C4—28no—
296C22×C22⋊C4—28no—
297C22×C22⋊C4—44no—
298C22×C22⋊C4C2318yes—
299C22×C22⋊C4C2318yes—
300C22×C22⋊C4C2318yes—
301C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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⋊C4C2318yes—
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×C42—44no—
351C22×C42—44no—
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
366C22×C42C2318yescomplemented
367C22×C42C2318yescomplemented
368#401C2318yescomplemented
369#400C2318yescomplemented
370#400C2318yescomplemented
371#400C2318yescomplemented
372#400C2318yescomplemented
373#400C2318yescomplemented
374#398C2318yescomplemented
375#398C2318yescomplemented
376#397C2318yescomplemented
377#397C2318yescomplemented
378#397C2318yescomplemented
379#397C2318yescomplemented
380#397C2318yescomplemented
381#397C2318yescomplemented
382#397C2318yescomplemented
383#397C2318yescomplemented
384#397C2318yescomplemented
385#396C2318yescomplemented
386#394C2318yes—
387#394C2318yes—
388#394C2318yes—
389#394C2318yes—
390#393C2318yescomplemented
391#393C2318yescomplemented
392#391C2318yescomplemented
393#391C2318yescomplemented
394#390C2318yes—
395#390C2318yes—
396#388C2318yescomplemented
397#388C2318yescomplemented
398#388C2318yescomplemented
399#388C2318yescomplemented
400#388C2318yescomplemented
401#388C2318yescomplemented
402#388C2318yescomplemented
403#388C2318yescomplemented
404#388C2318yescomplemented
405#388C2318yescomplemented
406#388C2318yescomplemented
407#388C2318yescomplemented
408#388C2318yescomplemented
409#388C2318yescomplemented
410#388C2318yescomplemented
411#388C2318yescomplemented
412#388C2318yescomplemented
413#388C2318yescomplemented
414#388C2318yescomplemented
415#387C2318yescomplemented
416#387C2318yescomplemented
417#387C2318yescomplemented
418#387C2318yescomplemented
419#387C2318yescomplemented
420#387C2318yescomplemented
421#387C2318yescomplemented
422#387C2318yescomplemented
423#387C2318yescomplemented
424#387C2318yescomplemented
425#387C2318yescomplemented
426#387C2318yescomplemented
427#387C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#386C2318yes—
431#386C2318yes—
432#386C2318yes—
433#386C2318yes—
434#386C2318yes—
435#386C2318yes—
436#386C2318yes—
437#386C2318yes—
438#386C2318yes—
439#386C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#385C2318yes—
445#385C2318yes—
446#385C2318yes—
447#385C2318yes—
448#385C2318yes—
449#385C2318yes—
450#385C2318yescomplemented
451#385C2318yescomplemented
452#385C2318yescomplemented
453#385C2318yescomplemented
454#385C2318yescomplemented
455#385C2318yescomplemented
456#385C2318yescomplemented
457#385C2318yescomplemented
458#385C2318yescomplemented
459#385C2318yescomplemented
460#383C2318yescomplemented
461#383C2318yescomplemented
462#382C2318yescomplemented
463#381C2318yes—
464#381C2318yes—
465#381C2318yes—
466#381C2318yescomplemented
467#381C2318yescomplemented
468#381C2318yescomplemented
469#380C2318yes—
470#380C2318yes—
471#380C2318yes—
472#380C2318yescomplemented
473#380C2318yescomplemented
474#380C2318yescomplemented
475#379C2318yes—
476#379C2318yes—
477#379C2318yes—
478#379C2318yes—
479#379C2318yes—
480C4×C4⋊C4C2318yescomplemented
481C4×C4⋊C4C2318yescomplemented
482C4×C4⋊C4C2318yescomplemented
483C4×C22⋊C4C2318yes—
484C4×C22⋊C4C2318yes—
485C4×C22⋊C4C2318yes—
486C4×C22⋊C4C2318yes—
487C4×C22⋊C4C2318yes—
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yescomplemented
490C4×C22⋊C4C2318yescomplemented
491C4×C22⋊C4C2318yescomplemented
492C4×C22⋊C4C2318yescomplemented
493C4×C22⋊C4C2318yescomplemented
494C4×C22⋊C4C2318yescomplemented
495C4×C22⋊C4C2318yescomplemented
496C4×C22⋊C4C2318yescomplemented
497C4×C22⋊C4C2318yescomplemented
498#376C2318yescomplemented
499C2×#95C2318yes—
500C2×#95C2318yes—
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×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2318yescomplemented
552C2×#95C2318yescomplemented
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—24no—
558C25—24no—
559C25—24no—
560C25—24no—
561C25—42no—
562C25—42no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25#4118yes—
567C25C2411yescharacteristic
568C25C2411yescharacteristic
569C25C2411yescharacteristic
570C25C2414yes—
571C25C2414yes—
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C22×Q8—24no—
575C22×Q8—42no—
576C22×Q8—42no—
577C22×Q8C2414yes—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—232no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—232no—
588C22×D4—24no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—416no—
592C22×D4—464no—
593C22×D4#4118yes—
594C22×D4C2414yes—
595C22×D4C2414yes—
596C22×D4C2414yes—
597C22×D4C2414yes—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—24no—
608C23×C4—24no—
609C23×C4—24no—
610C23×C4—24no—
611C23×C4—24no—
612C23×C4—24no—
613C23×C4—24no—
614C23×C4—24no—
615C23×C4—24no—
616C23×C4—24no—
617C23×C4—24no—
618C23×C4—24no—
619C23×C4—232no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—416no—
627C23×C4—42no—
628C23×C4—42no—
629C23×C4—42no—
630C23×C4—42no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—416no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—464no—
646C23×C4#4118yes—
647C23×C4C2414yes—
648C23×C4C2414yes—
649C23×C4C2414yes—
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2414yes—
671C23×C4C2414yes—
672C23×C4C2414yes—
673C23×C4C2414yes—
674C23×C4C2414yes—
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2414yes—
684C23×C4C2414yes—
685C23×C4C2414yes—
686C23×C4C2414yes—
687C23×C4C2414yes—
688#126—416no—
689#123—232no—
690#123—416no—
691C22⋊Q8—232no—
692C22⋊Q8—416no—
693C22⋊Q8—416no—
694C4×D4—232no—
695C4×D4—416no—
696#117—232no—
697#117—416no—
698C2×C4⋊C4—24no—
699C2×C4⋊C4—24no—
700C2×C4⋊C4—24no—
701C2×C4⋊C4—24no—
702C2×C4⋊C4—24no—
703C2×C4⋊C4—24no—
704C2×C4⋊C4—24no—
705C2×C4⋊C4—24no—
706C2×C4⋊C4—24no—
707C2×C4⋊C4—24no—
708C2×C4⋊C4—42no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—42no—
714C2×C4⋊C4—42no—
715C2×C4⋊C4—42no—
716C2×C4⋊C4—42no—
717C2×C4⋊C4—42no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×C22⋊C4—24no—
745C2×C22⋊C4—24no—
746C2×C22⋊C4—24no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—232no—
749C2×C22⋊C4—24no—
750C2×C22⋊C4—24no—
751C2×C22⋊C4—24no—
752C2×C22⋊C4—24no—
753C2×C22⋊C4—24no—
754C2×C22⋊C4—24no—
755C2×C22⋊C4—232no—
756C2×C22⋊C4—24no—
757C2×C22⋊C4—24no—
758C2×C22⋊C4—24no—
759C2×C22⋊C4—24no—
760C2×C22⋊C4—24no—
761C2×C22⋊C4—24no—
762C2×C22⋊C4—24no—
763C2×C22⋊C4—24no—
764C2×C22⋊C4—24no—
765C2×C22⋊C4—24no—
766C2×C22⋊C4—24no—
767C2×C22⋊C4—24no—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—232no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—232no—
778C2×C22⋊C4—232no—
779C2×C22⋊C4—416no—
780C2×C22⋊C4—42no—
781C2×C22⋊C4—42no—
782C2×C22⋊C4—42no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4#4118yes—
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×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C42—24no—
843C2×C42—24no—
844C2×C42—24no—
845C2×C42—24no—
846C2×C42—24no—
847C2×C42—416no—
848C2×C42—42no—
849C2×C42—42no—
850C2×C42—42no—
851C2×C42—42no—
852C2×C42—42no—
853C2×C42—42no—
854C2×C42—42no—
855C2×C42—42no—
856C2×C42—416no—
857C2×C42—42no—
858C2×C42C2414yes—
859C2×C42C2414yes—
860C2×C42C2414yes—
861C2×C42C2414yes—
862C2×C42C2414yes—
863C2×C42C2414yes—
864C2×C42C2414yes—
865C2×C42C2414yes—
866C2×C42C2414yes—
867C2×C42C2414yes—
868C2×C42C2414yes—
869C2×C42C2414yes—
870C2×C42C2414yes—
871C2×C42C2414yes—
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—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—232no—
931C24—232no—
932C24—28no—
933C24—22no—
934C24—22no—
935C24—28no—
936C24—22no—
937C24—22no—
938C24—28no—
939C24—22no—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—28no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—28no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—28no—
957C24—28no—
958C24—28no—
959C24—44no—
960C24—416no—
961C24—44no—
962C24—44no—
963C24—44no—
964C24—44no—
965C24—416no—
966C24—416no—
967C24—416no—
968C24—416no—
969C24—416no—
970C24—416no—
971C24—416no—
972C24—416no—
973C24—88no—
974C24—88no—
975C24—88no—
976C24C2×#4114yes—
977C24C2×#4114yes—
978C24C2×#41116yes—
979C24C2×#4114yes—
980C24C2×#4114yes—
981C24C2×#4114yes—
982C24C2×#4114yes—
983C24C2×#4114yes—
984C24H(5,𝔽2)14yes—
985C24C2512yes—
986C24C2512yes—
987C24C2512yes—
988C24C2512yes—
989C24C2512yes—
990C24C2511yescharacteristic
991C2×Q8—28no—
992C2×Q8—44no—
993C2×Q8—44no—
994C2×Q8—88no—
995C2×D4—232no—
996C2×D4—28no—
997C2×D4—28no—
998C2×D4—28no—
999C2×D4—28no—
1000C2×D4—28no—
1001C2×D4—28no—
1002C2×D4—28no—
1003C2×D4—28no—
1004C2×D4—28no—
1005C2×D4—44no—
1006C2×D4—44no—
1007C2×D4—416no—
1008C2×D4—4128no—
1009C2×D4—416no—
1010C2×D4—416no—
1011C2×D4C2×#41116yes—
1012C22×C4—232no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—28no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—28no—
1027C22×C4—28no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—28no—
1035C22×C4—28no—
1036C22×C4—28no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—28no—
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—28no—
1062C22×C4—28no—
1063C22×C4—28no—
1064C22×C4—28no—
1065C22×C4—28no—
1066C22×C4—22no—
1067C22×C4—28no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—28no—
1077C22×C4—28no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—28no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—28no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—28no—
1105C22×C4—28no—
1106C22×C4—28no—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—28no—
1110C22×C4—28no—
1111C22×C4—28no—
1112C22×C4—44no—
1113C22×C4—44no—
1114C22×C4—44no—
1115C22×C4—416no—
1116C22×C4—44no—
1117C22×C4—44no—
1118C22×C4—44no—
1119C22×C4—44no—
1120C22×C4—44no—
1121C22×C4—44no—
1122C22×C4—44no—
1123C22×C4—44no—
1124C22×C4—44no—
1125C22×C4—44no—
1126C22×C4—416no—
1127C22×C4—44no—
1128C22×C4—44no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—416no—
1132C22×C4—416no—
1133C22×C4—416no—
1134C22×C4—416no—
1135C22×C4—416no—
1136C22×C4—416no—
1137C22×C4—4128no—
1138C22×C4—416no—
1139C22×C4—416no—
1140C22×C4—416no—
1141C22×C4—416no—
1142C22×C4—88no—
1143C22×C4—88no—
1144C22×C4C2×#4114yes—
1145C22×C4C2×#4114yes—
1146C22×C4C2×#4114yes—
1147C22×C4C2×#4114yes—
1148C22×C4C2×#4114yes—
1149C22×C4C2×#41116yes—
1150C22×C4H(5,𝔽2)14yes—
1151C22×C4C2512yes—
1152C22×C4C2512yes—
1153C22×C4C2512yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2512yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2512yes—
1160C22×C4C2512yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2512yes—
1164C22×C4C2512yes—
1165C22×C4C2512yes—
1166C22×C4C2512yes—
1167C22×C4C2512yes—
1168C22×C4C2512yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C4⋊C4—28no—
1178C4⋊C4—28no—
1179C4⋊C4—28no—
1180C4⋊C4—28no—
1181C4⋊C4—28no—
1182C4⋊C4—28no—
1183C4⋊C4—28no—
1184C4⋊C4—28no—
1185C4⋊C4—28no—
1186C4⋊C4—28no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4—44no—
1192C4⋊C4—44no—
1193C4⋊C4—44no—
1194C4⋊C4—44no—
1195C4⋊C4—44no—
1196C4⋊C4—44no—
1197C4⋊C4—44no—
1198C4⋊C4—44no—
1199C4⋊C4—44no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—28no—
1206C22⋊C4—28no—
1207C22⋊C4—28no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—28no—
1217C22⋊C4—28no—
1218C22⋊C4—28no—
1219C22⋊C4—28no—
1220C22⋊C4—28no—
1221C22⋊C4—28no—
1222C22⋊C4—28no—
1223C22⋊C4—28no—
1224C22⋊C4—28no—
1225C22⋊C4—28no—
1226C22⋊C4—28no—
1227C22⋊C4—28no—
1228C22⋊C4—28no—
1229C22⋊C4—28no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4—44no—
1233C22⋊C4—44no—
1234C22⋊C4—44no—
1235C22⋊C4—44no—
1236C22⋊C4—44no—
1237C22⋊C4—44no—
1238C22⋊C4—44no—
1239C22⋊C4—44no—
1240C22⋊C4—44no—
1241C22⋊C4—44no—
1242C22⋊C4—44no—
1243C22⋊C4—44no—
1244C22⋊C4—44no—
1245C22⋊C4C2×#41116yes—
1246C42—28no—
1247C42—28no—
1248C42—28no—
1249C42—28no—
1250C42—28no—
1251C42—44no—
1252C42—44no—
1253C42—44no—
1254C42—44no—
1255C42—44no—
1256C42—44no—
1257C42—44no—
1258C42—44no—
1259C42—44no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—28no—
1269C23—28no—
1270C23—28no—
1271C23—28no—
1272C23—28no—
1273C23—28no—
1274C23—28no—
1275C23—28no—
1276C23—28no—
1277C23—28no—
1278C23—28no—
1279C23—28no—
1280C23—22no—
1281C23—22no—
1282C23—22no—
1283C23—22no—
1284C23—22no—
1285C23—22no—
1286C23—22no—
1287C23—22no—
1288C23—22no—
1289C23—22no—
1290C23—22no—
1291C23—22no—
1292C23—232no—
1293C23—28no—
1294C23—28no—
1295C23—232no—
1296C23—28no—
1297C23—28no—
1298C23—28no—
1299C23—28no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—416no—
1308C23—416no—
1309C23—416no—
1310C23—4128no—
1311C23—416no—
1312C23—416no—
1313C23—416no—
1314C23—416no—
1315C23—416no—
1316C23—44no—
1317C23—44no—
1318C23—44no—
1319C23—44no—
1320C23—44no—
1321C23—44no—
1322C23—44no—
1323C23—44no—
1324C23—416no—
1325C23—44no—
1326C23—44no—
1327C23—44no—
1328C23—44no—
1329C23—44no—
1330C23—44no—
1331C23—44no—
1332C23—88no—
1333C23—88no—
1334C23—88no—
1335C23—864no—
1336C23#529116yes—
1337C23#551116yes—
1338C23C22×#4114yes—
1339C23C22×#4114yes—
1340C23C22×#4114yes—
1341C23C22×#4114yes—
1342C23C22×#4114yes—
1343C23C22×#4114yes—
1344C23C22×#4114yes—
1345C23C22×#4112yes—
1346C23C22×#4112yes—
1347C23C22×#4112yes—
1348C23C22×#4112yes—
1349C23C2×H(5,𝔽2)14yes—
1350C23C2×H(5,𝔽2)12yes—
1351C23C2×H(5,𝔽2)12yes—
1352C23#58512yes—
1353C23C2611yescharacteristic
1354Q8—88no—
1355D4—232no—
1356D4—416no—
1357D4—416no—
1358D4—416no—
1359C2×C4—232no—
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—28no—
1373C2×C4—28no—
1374C2×C4—28no—
1375C2×C4—28no—
1376C2×C4—28no—
1377C2×C4—28no—
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—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—416no—
1439C2×C4—416no—
1440C2×C4—416no—
1441C2×C4—416no—
1442C2×C4—416no—
1443C2×C4—416no—
1444C2×C4—416no—
1445C2×C4—416no—
1446C2×C4—416no—
1447C2×C4—416no—
1448C2×C4—416no—
1449C2×C4—44no—
1450C2×C4—44no—
1451C2×C4—416no—
1452C2×C4—44no—
1453C2×C4—44no—
1454C2×C4—44no—
1455C2×C4—44no—
1456C2×C4—44no—
1457C2×C4—44no—
1458C2×C4—44no—
1459C2×C4—44no—
1460C2×C4—44no—
1461C2×C4—44no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—88no—
1471C2×C4—88no—
1472C2×C4C22×#4114yes—
1473C2×C4C22×#4114yes—
1474C2×C4C22×#4114yes—
1475C2×C4C22×#4114yes—
1476C2×C4C22×#4114yes—
1477C2×C4C2×H(5,𝔽2)14yes—
1478C22—24no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—24no—
1483C22—24no—
1484C22—232no—
1485C22—232no—
1486C22—24no—
1487C22—24no—
1488C22—24no—
1489C22—24no—
1490C22—24no—
1491C22—24no—
1492C22—24no—
1493C22—24no—
1494C22—24no—
1495C22—24no—
1496C22—24no—
1497C22—24no—
1498C22—464no—
1499C22—42no—
1500C22—42no—
1501C22—42no—
1502C22—42no—
1503C22—42no—
1504C22—416no—
1505C22—416no—
1506C22—42no—
1507C22—42no—
1508C22—42no—
1509C22—42no—
1510C22—42no—
1511C22—42no—
1512C22—42no—
1513C22—42no—
1514C22—42no—
1515C22—42no—
1516C22—832no—
1517C22—88no—
1518C22C2×#52918yes—
1519C22C2×#52914yes—
1520C22C2×#55118yes—
1521C22C2×#55114yes—
1522C22#347514yes—
1523C22#348114yes—
1524C22#349014yes—
1525C22#350514yes—
1526C22#351314yes—
1527C22C23×#4111yescharacteristic
1528C22C23×#4111yescharacteristic
1529C22C23×#4111yescharacteristic
1530C22C23×#4111yescharacteristic
1531C22C22×H(5,𝔽2)11yescharacteristic
1532C22C22×H(5,𝔽2)11yescharacteristic
1533C22C2×#58511yescharacteristic
1534C4—24no—
1535C4—24no—
1536C4—24no—
1537C4—24no—
1538C4—24no—
1539C4—24no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—42no—
1555C4—42no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C2—28no—
1561C2—28no—
1562C2—44no—
1563C2—44no—
1564C2—82no—
1565C2#3624218yesdirect product factor
1566C2C22×#52911yescharacteristic
1567C2C22×#55111yescharacteristic
1568C2C2×#347511yescharacteristic
1569C2C2×#348111yescharacteristic
1570C2C2×#349011yescharacteristic
1571C2C2×#350511yescharacteristic
1572C2C2×#351311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC24×D4C22
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×#2853C2semidirect
2. C2×#2852C2semidirect
3. C2×#2848C2semidirect
4. #36242C2direct (N × H)
5. C2×#2597C2semidirect
6. C2×#2595C2semidirect
7. C2×#2578C2semidirect
8. C2×#2578C2semidirect
9. C2×#2576C2semidirect
10. C2×#2569C2semidirect
11. C2×#2561C2semidirect
12. C2×#2560C2semidirect
13. C2×#2531C2semidirect
14. C2×#2510C2semidirect
15. C2×#2493C2semidirect
16. C2×#2488C2semidirect
17. C2×#2483C2semidirect
18. C2×#2477C2semidirect
19. C2×#2450C2semidirect
20. C2×#2419C2semidirect
21. C2×#2480C2semidirect
23. C2×#2368C2semidirect
24. C2×#2343C2semidirect
25. C2×#2342C2semidirect
26. C2×#2342C2semidirect
27. C2×#2342C2semidirect
29. C2×C4×#123C2semidirect
30. C2×#2290C2semidirect
32. C22×C4×C22⋊C4C2semidirect
35. C22×#126C22semidirect
39. C22×C22⋊Q8C22semidirect
40. C22×C22⋊Q8C22semidirect
44. C22×#117C22semidirect
51. C23×C42C22semidirect
52. C23×C42C22semidirect
53. #2853C22semidirect
54. #2852C22semidirect
55. #2848C22semidirect
56. #2597C22semidirect
57. #2595C22semidirect
58. #2578C22semidirect
59. #2578C22semidirect
60. #2576C22semidirect
61. #2569C22semidirect
62. #2561C22semidirect
63. #2560C22semidirect
64. #2531C22semidirect
65. #2510C22semidirect
66. #2493C22semidirect
67. #2488C22semidirect
68. #2483C22semidirect
69. #2480C22semidirect
70. #2477C22semidirect
71. #2450C22semidirect
72. #2419C22semidirect
74. C2×#401C22semidirect
75. C2×#400C22semidirect
76. C2×#400C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
80. C2×#398C22semidirect
81. C2×#398C22semidirect
82. C2×#397C22semidirect
83. C2×#397C22semidirect
84. C2×#397C22semidirect
85. C2×#397C22semidirect
86. C2×#397C22semidirect
87. C2×#397C22semidirect
88. C2×#397C22semidirect
89. C2×#397C22semidirect
90. C2×#397C22semidirect
91. C2×#396C22semidirect
96. C2×#393C22semidirect
97. C2×#393C22semidirect
98. #2368C22semidirect
99. #2343C22semidirect
100. #2342C22semidirect
101. #2342C22semidirect
102. #2342C22semidirect
104. C4×#123C22semidirect
105. C2×#391C22semidirect
106. C2×#391C22semidirect
109. #2290C22semidirect
110. C2×#388C22semidirect
111. C2×#388C22semidirect
112. C2×#388C22semidirect
113. C2×#388C22semidirect
114. C2×#388C22semidirect
115. C2×#388C22semidirect
116. C2×#388C22semidirect
117. C2×#388C22semidirect
118. C2×#388C22semidirect
119. C2×#388C22semidirect
120. C2×#388C22semidirect
121. C2×#388C22semidirect
122. C2×#388C22semidirect
123. C2×#388C22semidirect
124. C2×#388C22semidirect
125. C2×#388C22semidirect
126. C2×#388C22semidirect
127. C2×#388C22semidirect
128. C2×#388C22semidirect
129. C2×#387C22semidirect
130. C2×#387C22semidirect
131. C2×#387C22semidirect
132. C2×#387C22semidirect
133. C2×#387C22semidirect
134. C2×#387C22semidirect
135. C2×#387C22semidirect
136. C2×#387C22semidirect
137. C2×#387C22semidirect
138. C2×#387C22semidirect
139. C2×#387C22semidirect
140. C2×#387C22semidirect
141. C2×#387C22semidirect
142. C2×#387C22semidirect
143. C2×#387C22semidirect
165. C2×#385C22semidirect
166. C2×#385C22semidirect
167. C2×#385C22semidirect
168. C2×#385C22semidirect
169. C2×#385C22semidirect
170. C2×#385C22semidirect
171. C2×#385C22semidirect
172. C2×#385C22semidirect
173. C2×#385C22semidirect
174. C2×#385C22semidirect
175. C2×#383C22semidirect
176. C2×#383C22semidirect
177. C2×#382C22semidirect
181. C2×#381C22semidirect
182. C2×#381C22semidirect
183. C2×#381C22semidirect
187. C2×#380C22semidirect
188. C2×#380C22semidirect
189. C2×#380C22semidirect
195. C2×C4×C4⋊C4C22semidirect
196. C2×C4×C4⋊C4C22semidirect
197. C2×C4×C4⋊C4C22semidirect
204. C2×C4×C22⋊C4C22semidirect
205. C2×C4×C22⋊C4C22semidirect
206. C2×C4×C22⋊C4C22semidirect
207. C2×C4×C22⋊C4C22semidirect
208. C2×C4×C22⋊C4C22semidirect
209. C2×C4×C22⋊C4C22semidirect
210. C2×C4×C22⋊C4C22semidirect
211. C2×C4×C22⋊C4C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×#376C22semidirect
217. C22×#95C22semidirect
218. C22×#95C22semidirect
250. C2×#126C23semidirect
259. C2×C22⋊Q8C23semidirect
260. C2×C22⋊Q8C23semidirect
268. C2×#117C23semidirect
366. C22×C42C23semidirect
367. C22×C42C23semidirect
368. #401C23semidirect
369. #400C23semidirect
370. #400C23semidirect
371. #400C23semidirect
372. #400C23semidirect
373. #400C23semidirect
374. #398C23semidirect
375. #398C23semidirect
376. #397C23semidirect
377. #397C23semidirect
378. #397C23semidirect
379. #397C23semidirect
380. #397C23semidirect
381. #397C23semidirect
382. #397C23semidirect
383. #397C23semidirect
384. #397C23semidirect
385. #396C23semidirect
390. #393C23semidirect
391. #393C23semidirect
392. #391C23semidirect
393. #391C23semidirect
396. #388C23semidirect
397. #388C23semidirect
398. #388C23semidirect
399. #388C23semidirect
400. #388C23semidirect
401. #388C23semidirect
402. #388C23semidirect
403. #388C23semidirect
404. #388C23semidirect
405. #388C23semidirect
406. #388C23semidirect
407. #388C23semidirect
408. #388C23semidirect
409. #388C23semidirect
410. #388C23semidirect
411. #388C23semidirect
412. #388C23semidirect
413. #388C23semidirect
414. #388C23semidirect
415. #387C23semidirect
416. #387C23semidirect
417. #387C23semidirect
418. #387C23semidirect
419. #387C23semidirect
420. #387C23semidirect
421. #387C23semidirect
422. #387C23semidirect
423. #387C23semidirect
424. #387C23semidirect
425. #387C23semidirect
426. #387C23semidirect
427. #387C23semidirect
428. #387C23semidirect
429. #387C23semidirect
450. #385C23semidirect
451. #385C23semidirect
452. #385C23semidirect
453. #385C23semidirect
454. #385C23semidirect
455. #385C23semidirect
456. #385C23semidirect
457. #385C23semidirect
458. #385C23semidirect
459. #385C23semidirect
460. #383C23semidirect
461. #383C23semidirect
462. #382C23semidirect
466. #381C23semidirect
467. #381C23semidirect
468. #381C23semidirect
472. #380C23semidirect
473. #380C23semidirect
474. #380C23semidirect
480. C4×C4⋊C4C23semidirect
481. C4×C4⋊C4C23semidirect
482. C4×C4⋊C4C23semidirect
489. C4×C22⋊C4C23semidirect
490. C4×C22⋊C4C23semidirect
491. C4×C22⋊C4C23semidirect
492. C4×C22⋊C4C23semidirect
493. C4×C22⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. C4×C22⋊C4C23semidirect
496. C4×C22⋊C4C23semidirect
497. C4×C22⋊C4C23semidirect
498. #376C23semidirect
551. C2×#95C23semidirect
552. C2×#95C23semidirect
1565. C2#36242direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28532
C2×#28522
C2×#28482
#362422
C2×#25972
C2×#25952
C2×#25782
C2×#25762
C2×#25692
C2×#25612
C2×#25602
C2×#25312
C2×#25102
C2×#24932
C2×#24882
C2×#24832
C2×#24772
C2×#24502
C2×#24192
C2×#24802
C2×#24052
C2×#23682
C2×#23432
C2×#23422
C2×D4×C22⋊C42
C2×C4×#1232
C2×#22902
C22×#3862
C22×C4×C22⋊C42