Finite Group Databasebeta

← C2×#38532 #7635752

Subgroups — C2×#38532 #7635752

Order 512.

8706 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2797C211yesmaximal, characteristic, complemented
2C2×#2780C211yesmaximal, characteristic, complemented
3C2×#2778C211yesmaximal, characteristic, complemented
4C2×#2750C211yesmaximal, characteristic, complemented
5C2×#2749C211yesmaximal, characteristic, complemented
6C2×#2710C211yesmaximal, characteristic, complemented
7C2×#2697C211yesmaximal, characteristic, complemented
8C2×#2684C211yesmaximal, characteristic, complemented
9#38532C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2576C211yesmaximal, characteristic, complemented
12C2×#2554C211yesmaximal, characteristic, complemented
13C2×#2534C211yesmaximal, characteristic, complemented
14C2×#2482C211yesmaximal, characteristic, complemented
15C2×#2510C211yesmaximal, characteristic, complemented
16C2×#2488C211yesmaximal, characteristic, complemented
17C2×#2411C211yesmaximal, characteristic, complemented
18C2×#2435C211yesmaximal, characteristic, complemented
19C2×#2450C211yesmaximal, characteristic, complemented
20C2×#2459C211yesmaximal, characteristic, complemented
21C2×#2480C211yesmaximal, characteristic, complemented
22C2×#2405C211yesmaximal, characteristic, complemented
23C2×#2418C211yesmaximal, characteristic, complemented
24C2×#2403C211yesmaximal, characteristic
25C2×#2636C211yesmaximal, characteristic, complemented
26C2×#2648C211yesmaximal, characteristic, complemented
27C2×#2359C211yesmaximal, characteristic, complemented
28C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
29C2×#2337C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#386C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C25×C4C2211yescharacteristic, complemented
36C22×#126C2211yescharacteristic, complemented
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic, complemented
42C22×#123C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×#120C2211yescharacteristic
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic, complemented
51C22×C4×D4C2211yescharacteristic, complemented
52C22×#117C2211yescharacteristic, complemented
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic, complemented
56C23×C22⋊C4C2211yescharacteristic, complemented
57#2849C22116yescomplemented
58#2797C22116yescomplemented
59#2780C22116yescomplemented
60#2778C22116yescomplemented
61#2750C22116yescomplemented
62#2749C22116yescomplemented
63#2710C22116yescomplemented
64#2697C22116yescomplemented
65#2684C22116yescomplemented
66#2648C22116yescomplemented
67#2636C22116yescomplemented
68#2576C22116yescomplemented
69#2554C22116yescomplemented
70#2534C22116yescomplemented
71#2510C22116yescomplemented
72#2488C22116yescomplemented
73#2482C22116yescomplemented
74#2480C22116yescomplemented
75#2459C22116yescomplemented
76#2450C22116yescomplemented
77#2435C22116yescomplemented
78#2418C22116yescomplemented
79#2411C22116yescomplemented
80#2405C22116yescomplemented
81#2403C22116yes—
82C2×#401C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#399C2211yescharacteristic, complemented
88C2×#399C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#396C2211yescharacteristic, complemented
99C2×#396C2211yescharacteristic, complemented
100C2×#396C2211yescharacteristic, complemented
101C2×#396C2211yescharacteristic, complemented
102C2×#396C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic, complemented
107C2×#394C2211yescharacteristic, complemented
108C2×#394C2211yescharacteristic, complemented
109C2×#394C2211yescharacteristic, complemented
110C2×#394C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#393C2211yescharacteristic, complemented
117C2×#393C2211yescharacteristic, complemented
118C2×#392C2211yescharacteristic
119C2×#392C2211yescharacteristic
120C2×#392C2211yescharacteristic
121C2×#392C2211yescharacteristic
122#2359C22116yescomplemented
123D4×C22⋊C4C22116yescomplemented
124#2337C22116yescomplemented
125#2321C22116yescomplemented
126C4×#120C22116yescomplemented
127C2×#391C2211yescharacteristic, complemented
128C2×#391C2211yescharacteristic, complemented
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic, complemented
131C2×#390C2211yescharacteristic, complemented
132C2×#390C2211yescharacteristic, complemented
133C2×#390C2211yescharacteristic, complemented
134C2×#390C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#388C2211yescharacteristic, complemented
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×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic, complemented
170C2×#386C2211yescharacteristic, complemented
171C2×#386C2211yescharacteristic, complemented
172C2×#386C2211yescharacteristic, complemented
173C2×#386C2211yescharacteristic, complemented
174C2×#386C2211yescharacteristic, complemented
175C2×#386C2211yescharacteristic, complemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C22116yescomplemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#383C2211yescharacteristic, complemented
195C2×#382C2211yescharacteristic, complemented
196C2×#381C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic, complemented
198C2×#381C2211yescharacteristic, complemented
199C2×#380C2211yescharacteristic, complemented
200C2×#380C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic, complemented
202C2×#379C2211yescharacteristic
203C2×#379C2211yescharacteristic
204C2×#379C2211yescharacteristic
205C2×#379C2211yescharacteristic, complemented
206C2×#379C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic, complemented
208C2×#379C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic, complemented
210C2×C4×C4⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic, complemented
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×D4—28no—
224C23×D4—28no—
225C23×D4—44no—
226C23×D4—44no—
227C23×D4—44no—
228C23×D4—44no—
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2318yes—
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2318yes—
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C24×C4—44no—
244C24×C4—44no—
245C24×C4—44no—
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2318yescomplemented
259C2×#126—44no—
260C2×#126C2318yescomplemented
261C2×#124—28no—
262C2×#124—44no—
263C2×#124C2318yes—
264C2×#124C2318yescomplemented
265C2×#123—28no—
266C2×#123—44no—
267C2×#123—44no—
268C2×#123—44no—
269C2×#123C2318yes—
270C2×#123C2318yes—
271C2×#123C2318yescomplemented
272C2×#123C2318yescomplemented
273C2×C22⋊Q8—44no—
274C2×C22⋊Q8C2318yescomplemented
275C2×#120—28no—
276C2×#120—28no—
277C2×#120—44no—
278C2×#120—44no—
279C2×#120C2318yes—
280C2×#120C2318yes—
281C2×#120C2318yes—
282C2×#120C2318yes—
283C2×C4×D4—44no—
284C2×C4×D4—44no—
285C2×C4×D4—44no—
286C2×C4×D4—44no—
287C2×C4×D4C2318yes—
288C2×C4×D4C2318yes—
289C2×C4×D4C2318yescomplemented
290C2×C4×D4C2318yescomplemented
291C2×#117—44no—
292C2×#117C2318yescomplemented
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C22⋊C4—44no—
315C22×C22⋊C4—44no—
316C22×C22⋊C4—44no—
317C22×C22⋊C4—44no—
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⋊C4C2318yes—
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2311yescharacteristic
351C22×C22⋊C4C2311yescharacteristic
352C22×C22⋊C4C2311yescharacteristic
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2318yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2318yescomplemented
381C22×C22⋊C4C2318yescomplemented
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390#401C2318yescomplemented
391#400C2318yescomplemented
392#400C2318yescomplemented
393#400C2318yescomplemented
394#400C2318yescomplemented
395#399C2318yescomplemented
396#399C2318yescomplemented
397#398C2318yescomplemented
398#397C2318yescomplemented
399#397C2318yescomplemented
400#397C2318yescomplemented
401#397C2318yescomplemented
402#397C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#396C2318yescomplemented
407#396C2318yescomplemented
408#396C2318yescomplemented
409#396C2318yescomplemented
410#396C2318yescomplemented
411#396C2318yescomplemented
412#394C2318yes—
413#394C2318yes—
414#394C2318yescomplemented
415#394C2318yescomplemented
416#394C2318yescomplemented
417#394C2318yescomplemented
418#394C2318yescomplemented
419#394C2318yescomplemented
420#394C2318yescomplemented
421#394C2318yescomplemented
422#394C2318yescomplemented
423#394C2318yescomplemented
424#393C2318yescomplemented
425#393C2318yescomplemented
426#392C2318yes—
427#392C2318yes—
428#392C2318yes—
429#392C2318yes—
430#391C2318yescomplemented
431#391C2318yescomplemented
432#390C2318yes—
433#390C2318yescomplemented
434#390C2318yescomplemented
435#390C2318yescomplemented
436#390C2318yescomplemented
437#390C2318yescomplemented
438#389C2318yescomplemented
439#388C2318yescomplemented
440#388C2318yescomplemented
441#388C2318yescomplemented
442#388C2318yescomplemented
443#388C2318yescomplemented
444#388C2318yescomplemented
445#388C2318yescomplemented
446#388C2318yescomplemented
447#388C2318yescomplemented
448#388C2318yescomplemented
449#388C2318yescomplemented
450#388C2318yescomplemented
451#388C2318yescomplemented
452#388C2318yescomplemented
453#388C2318yescomplemented
454#388C2318yescomplemented
455#388C2318yescomplemented
456#387C2318yescomplemented
457#387C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#386C2318yes—
461#386C2318yes—
462#386C2318yes—
463#386C2318yes—
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yescomplemented
473#386C2318yescomplemented
474#386C2318yescomplemented
475#386C2318yescomplemented
476#386C2318yescomplemented
477#386C2318yescomplemented
478#386C2318yescomplemented
479#386C2318yescomplemented
480#386C2318yescomplemented
481#386C2318yescomplemented
482#386C2318yescomplemented
483#386C2318yescomplemented
484#385C2318yescomplemented
485#385C2318yescomplemented
486#385C2318yescomplemented
487#385C2318yescomplemented
488#385C2318yescomplemented
489#385C2318yescomplemented
490#385C2318yescomplemented
491#385C2318yescomplemented
492#385C2318yescomplemented
493#385C2318yescomplemented
494#385C2318yescomplemented
495#385C2318yescomplemented
496#383C2318yescomplemented
497#382C2318yescomplemented
498#381C2318yescomplemented
499#381C2318yescomplemented
500#381C2318yescomplemented
501#380C2318yescomplemented
502#380C2318yescomplemented
503#380C2318yescomplemented
504#379C2318yes—
505#379C2318yes—
506#379C2318yes—
507#379C2318yescomplemented
508#379C2318yescomplemented
509#379C2318yescomplemented
510#379C2318yescomplemented
511#379C2318yescomplemented
512C4×C4⋊C4C2318yescomplemented
513C4×C22⋊C4C2318yescomplemented
514C4×C22⋊C4C2318yescomplemented
515C4×C22⋊C4C2318yescomplemented
516C4×C22⋊C4C2318yescomplemented
517C4×C22⋊C4C2318yescomplemented
518C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2318yescomplemented
558C2×#95C2318yescomplemented
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
564C25—24no—
565C25—24no—
566C25—24no—
567C25—24no—
568C25—24no—
569C25—24no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25—42no—
574C25—42no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25—42no—
579C25—42no—
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2411yescharacteristic
583C25C2411yescharacteristic
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2414yes—
587C25C2414yes—
588C25C2411yescharacteristic
589C25C2414yes—
590C22×Q8—24no—
591C22×Q8—42no—
592C22×Q8—42no—
593C22×Q8C2414yes—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—232no—
611C22×D4—232no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—416no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—416no—
632C22×D4—416no—
633C22×D4—416no—
634C22×D4—464no—
635C22×D4—464no—
636C22×D4#4118yes—
637C22×D4#4118yes—
638C22×D4C2414yes—
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C23×C4—24no—
651C23×C4—24no—
652C23×C4—24no—
653C23×C4—24no—
654C23×C4—24no—
655C23×C4—24no—
656C23×C4—24no—
657C23×C4—24no—
658C23×C4—24no—
659C23×C4—24no—
660C23×C4—24no—
661C23×C4—24no—
662C23×C4—24no—
663C23×C4—24no—
664C23×C4—24no—
665C23×C4—416no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
671C23×C4—42no—
672C23×C4—42no—
673C23×C4—42no—
674C23×C4—42no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—416no—
678C23×C4—416no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—464no—
690C23×C4C2414yes—
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2414yes—
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726#126—416no—
727#124—232no—
728#124—416no—
729#123—232no—
730#123—416no—
731#123—416no—
732#123—416no—
733C22⋊Q8—416no—
734#120—232no—
735#120—232no—
736#120—416no—
737#120—416no—
738C4×D4—416no—
739C4×D4—416no—
740C4×D4—416no—
741C4×D4—416no—
742#117—416no—
743C2×C4⋊C4—24no—
744C2×C4⋊C4—24no—
745C2×C4⋊C4—24no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4—42no—
755C2×C4⋊C4—42no—
756C2×C4⋊C4—42no—
757C2×C4⋊C4—42no—
758C2×C4⋊C4—42no—
759C2×C4⋊C4—42no—
760C2×C4⋊C4—42no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4—42no—
763C2×C4⋊C4—42no—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C22⋊C4—24no—
786C2×C22⋊C4—24no—
787C2×C22⋊C4—24no—
788C2×C22⋊C4—24no—
789C2×C22⋊C4—24no—
790C2×C22⋊C4—24no—
791C2×C22⋊C4—24no—
792C2×C22⋊C4—24no—
793C2×C22⋊C4—24no—
794C2×C22⋊C4—24no—
795C2×C22⋊C4—24no—
796C2×C22⋊C4—24no—
797C2×C22⋊C4—24no—
798C2×C22⋊C4—24no—
799C2×C22⋊C4—24no—
800C2×C22⋊C4—24no—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—416no—
808C2×C22⋊C4—416no—
809C2×C22⋊C4—42no—
810C2×C22⋊C4—42no—
811C2×C22⋊C4—42no—
812C2×C22⋊C4—42no—
813C2×C22⋊C4—42no—
814C2×C22⋊C4—42no—
815C2×C22⋊C4—42no—
816C2×C22⋊C4—42no—
817C2×C22⋊C4—42no—
818C2×C22⋊C4—42no—
819C2×C22⋊C4—42no—
820C2×C22⋊C4—42no—
821C2×C22⋊C4—416no—
822C2×C22⋊C4—416no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4C2414yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C42—24no—
910C2×C42—24no—
911C2×C42—42no—
912C2×C42—42no—
913C2×C42—42no—
914C2×C42—42no—
915C2×C42—42no—
916C2×C42—42no—
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—232no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—28no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—28no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—28no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—28no—
997C24—28no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—28no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—28no—
1013C24—28no—
1014C24—28no—
1015C24—28no—
1016C24—28no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—44no—
1021C24—44no—
1022C24—44no—
1023C24—44no—
1024C24—44no—
1025C24—44no—
1026C24—44no—
1027C24—416no—
1028C24—416no—
1029C24—416no—
1030C24—416no—
1031C24—416no—
1032C24—416no—
1033C24—416no—
1034C24—416no—
1035C24—416no—
1036C24—416no—
1037C24—416no—
1038C24—416no—
1039C24—88no—
1040C24—88no—
1041C24—88no—
1042C24—88no—
1043C24—88no—
1044C24—88no—
1045C24—88no—
1046C24—88no—
1047C24C2×#4114yes—
1048C24C2×#4114yes—
1049C24C2×#4114yes—
1050C24C2×#4114yes—
1051C24H(5,𝔽2)14yes—
1052C24H(5,𝔽2)14yes—
1053C24H(5,𝔽2)14yes—
1054C24C2512yes—
1055C24C2512yes—
1056C24C2512yes—
1057C24C2512yes—
1058C24C2512yes—
1059C24C2512yes—
1060C24C2512yes—
1061C24C2511yescharacteristic
1062C2×Q8—28no—
1063C2×Q8—44no—
1064C2×Q8—44no—
1065C2×Q8—88no—
1066C2×D4—232no—
1067C2×D4—28no—
1068C2×D4—28no—
1069C2×D4—28no—
1070C2×D4—28no—
1071C2×D4—28no—
1072C2×D4—28no—
1073C2×D4—28no—
1074C2×D4—28no—
1075C2×D4—28no—
1076C2×D4—28no—
1077C2×D4—28no—
1078C2×D4—28no—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—44no—
1086C2×D4—416no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—44no—
1095C2×D4—44no—
1096C2×D4—44no—
1097C2×D4—44no—
1098C2×D4—416no—
1099C2×D4—416no—
1100C2×D4—44no—
1101C2×D4—44no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—4128no—
1105C2×D4—416no—
1106C2×D4—416no—
1107C2×D4—416no—
1108C2×D4—4128no—
1109C2×D4—416no—
1110C2×D4—416no—
1111C2×D4—416no—
1112C2×D4—88no—
1113C2×D4—88no—
1114C2×D4C2×#41116yes—
1115C2×D4C2×#41116yes—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—28no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—28no—
1165C22×C4—28no—
1166C22×C4—28no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—28no—
1182C22×C4—28no—
1183C22×C4—28no—
1184C22×C4—28no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—28no—
1194C22×C4—28no—
1195C22×C4—28no—
1196C22×C4—28no—
1197C22×C4—28no—
1198C22×C4—28no—
1199C22×C4—28no—
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—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—44no—
1220C22×C4—44no—
1221C22×C4—416no—
1222C22×C4—416no—
1223C22×C4—416no—
1224C22×C4—416no—
1225C22×C4—416no—
1226C22×C4—416no—
1227C22×C4—416no—
1228C22×C4—4128no—
1229C22×C4—416no—
1230C22×C4—416no—
1231C22×C4—88no—
1232C22×C4—88no—
1233C22×C4—88no—
1234C22×C4C2×#4114yes—
1235C22×C4C2×#4114yes—
1236C22×C4H(5,𝔽2)14yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—28no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C42—28no—
1343C42—28no—
1344C42—44no—
1345C42—44no—
1346C42—44no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—28no—
1355C23—28no—
1356C23—28no—
1357C23—28no—
1358C23—28no—
1359C23—28no—
1360C23—232no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—28no—
1386C23—28no—
1387C23—28no—
1388C23—28no—
1389C23—28no—
1390C23—28no—
1391C23—28no—
1392C23—28no—
1393C23—28no—
1394C23—28no—
1395C23—28no—
1396C23—28no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—22no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—416no—
1412C23—416no—
1413C23—416no—
1414C23—416no—
1415C23—416no—
1416C23—416no—
1417C23—416no—
1418C23—416no—
1419C23—4128no—
1420C23—416no—
1421C23—416no—
1422C23—44no—
1423C23—416no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—416no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—88no—
1455C23—88no—
1456C23—88no—
1457C23—88no—
1458C23—88no—
1459C23—88no—
1460C23—864no—
1461C23—88no—
1462C23—88no—
1463C23—864no—
1464C23#538116yes—
1465C23C22×#4114yes—
1466C23C22×#4114yes—
1467C23C22×#4114yes—
1468C23C22×#4114yes—
1469C23C22×#4112yes—
1470C23C22×#4112yes—
1471C23C2×H(5,𝔽2)14yes—
1472C23C2×H(5,𝔽2)14yes—
1473C23C2×H(5,𝔽2)14yes—
1474C23C2×H(5,𝔽2)12yes—
1475C23C2×H(5,𝔽2)12yes—
1476C23C2×H(5,𝔽2)12yes—
1477C23C2×H(5,𝔽2)12yes—
1478C23#58512yes—
1479C23C2611yescharacteristic
1480Q8—88no—
1481D4—232no—
1482D4—416no—
1483D4—416no—
1484D4—416no—
1485D4—416no—
1486D4—416no—
1487D4—416no—
1488D4—416no—
1489D4—416no—
1490D4—416no—
1491D4—88no—
1492D4—88no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—28no—
1500C2×C4—28no—
1501C2×C4—28no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—416no—
1566C2×C4—416no—
1567C2×C4—416no—
1568C2×C4—416no—
1569C2×C4—416no—
1570C2×C4—416no—
1571C2×C4—416no—
1572C2×C4—416no—
1573C2×C4—416no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—44no—
1584C2×C4—44no—
1585C2×C4—44no—
1586C2×C4—44no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—88no—
1596C2×C4—88no—
1597C2×C4—88no—
1598C2×C4C22×#4114yes—
1599C2×C4C22×#4114yes—
1600C2×C4C2×H(5,𝔽2)14yes—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—232no—
1605C22—24no—
1606C22—24no—
1607C22—24no—
1608C22—24no—
1609C22—24no—
1610C22—24no—
1611C22—24no—
1612C22—24no—
1613C22—24no—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—464no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—416no—
1627C22—416no—
1628C22—416no—
1629C22—416no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—832no—
1656C22—832no—
1657C22—88no—
1658C22—88no—
1659C22C2×#53818yes—
1660C22C2×#53814yes—
1661C22#348114yes—
1662C22#349014yes—
1663C22#351314yes—
1664C22#351314yes—
1665C22#353214yes—
1666C22#354214yes—
1667C22C23×#4111yescharacteristic
1668C22C23×#4111yescharacteristic
1669C22C22×H(5,𝔽2)11yescharacteristic
1670C22C22×H(5,𝔽2)11yescharacteristic
1671C22C22×H(5,𝔽2)11yescharacteristic
1672C22C22×H(5,𝔽2)11yescharacteristic
1673C22C2×#58511yescharacteristic
1674C4—24no—
1675C4—24no—
1676C4—24no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C2—28no—
1699C2—44no—
1700C2—44no—
1701C2—44no—
1702C2—44no—
1703C2—82no—
1704C2—82no—
1705C2#3853218yesdirect product factor
1706C2C22×#53811yescharacteristic
1707C2C2×#348111yescharacteristic
1708C2C2×#353211yescharacteristic
1709C2C2×#354211yescharacteristic
1710C2C2×#349011yescharacteristic
1711C2C2×#351311yescharacteristic
1712C2C2×#351311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2403C2
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×#2797C2semidirect
2. C2×#2780C2semidirect
3. C2×#2778C2semidirect
4. C2×#2750C2semidirect
5. C2×#2749C2semidirect
6. C2×#2710C2semidirect
7. C2×#2697C2semidirect
8. C2×#2684C2semidirect
9. #38532C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2576C2semidirect
12. C2×#2554C2semidirect
13. C2×#2534C2semidirect
14. C2×#2482C2semidirect
15. C2×#2510C2semidirect
16. C2×#2488C2semidirect
17. C2×#2411C2semidirect
18. C2×#2435C2semidirect
19. C2×#2450C2semidirect
20. C2×#2459C2semidirect
21. C2×#2480C2semidirect
22. C2×#2405C2semidirect
23. C2×#2418C2semidirect
25. C2×#2636C2semidirect
26. C2×#2648C2semidirect
27. C2×#2359C2semidirect
28. C2×D4×C22⋊C4C2semidirect
29. C2×#2337C2semidirect
30. C2×#2321C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#386C2semidirect
35. C25×C4C22semidirect
36. C22×#126C22semidirect
38. C22×#124C22semidirect
41. C22×#123C22semidirect
42. C22×#123C22semidirect
43. C22×C22⋊Q8C22semidirect
50. C22×C4×D4C22semidirect
51. C22×C4×D4C22semidirect
52. C22×#117C22semidirect
55. C23×C22⋊C4C22semidirect
56. C23×C22⋊C4C22semidirect
57. #2849C22semidirect
58. #2797C22semidirect
59. #2780C22semidirect
60. #2778C22semidirect
61. #2750C22semidirect
62. #2749C22semidirect
63. #2710C22semidirect
64. #2697C22semidirect
65. #2684C22semidirect
66. #2648C22semidirect
67. #2636C22semidirect
68. #2576C22semidirect
69. #2554C22semidirect
70. #2534C22semidirect
71. #2510C22semidirect
72. #2488C22semidirect
73. #2482C22semidirect
74. #2480C22semidirect
75. #2459C22semidirect
76. #2450C22semidirect
77. #2435C22semidirect
78. #2418C22semidirect
79. #2411C22semidirect
80. #2405C22semidirect
82. C2×#401C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#399C22semidirect
88. C2×#399C22semidirect
89. C2×#398C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#396C22semidirect
99. C2×#396C22semidirect
100. C2×#396C22semidirect
101. C2×#396C22semidirect
102. C2×#396C22semidirect
103. C2×#396C22semidirect
106. C2×#394C22semidirect
107. C2×#394C22semidirect
108. C2×#394C22semidirect
109. C2×#394C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#393C22semidirect
117. C2×#393C22semidirect
122. #2359C22semidirect
123. D4×C22⋊C4C22semidirect
124. #2337C22semidirect
125. #2321C22semidirect
126. C4×#120C22semidirect
127. C2×#391C22semidirect
128. C2×#391C22semidirect
130. C2×#390C22semidirect
131. C2×#390C22semidirect
132. C2×#390C22semidirect
133. C2×#390C22semidirect
134. C2×#390C22semidirect
135. C2×#389C22semidirect
136. C2×#388C22semidirect
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×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
169. C2×#386C22semidirect
170. C2×#386C22semidirect
171. C2×#386C22semidirect
172. C2×#386C22semidirect
173. C2×#386C22semidirect
174. C2×#386C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#383C22semidirect
195. C2×#382C22semidirect
196. C2×#381C22semidirect
197. C2×#381C22semidirect
198. C2×#381C22semidirect
199. C2×#380C22semidirect
200. C2×#380C22semidirect
201. C2×#380C22semidirect
205. C2×#379C22semidirect
206. C2×#379C22semidirect
207. C2×#379C22semidirect
208. C2×#379C22semidirect
209. C2×#379C22semidirect
210. C2×C4×C4⋊C4C22semidirect
211. C2×C4×C22⋊C4C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C22×#95C22semidirect
218. C22×#95C22semidirect
258. C24×C4C23semidirect
260. C2×#126C23semidirect
264. C2×#124C23semidirect
271. C2×#123C23semidirect
272. C2×#123C23semidirect
274. C2×C22⋊Q8C23semidirect
289. C2×C4×D4C23semidirect
290. C2×C4×D4C23semidirect
292. C2×#117C23semidirect
380. C22×C22⋊C4C23semidirect
381. C22×C22⋊C4C23semidirect
390. #401C23semidirect
391. #400C23semidirect
392. #400C23semidirect
393. #400C23semidirect
394. #400C23semidirect
395. #399C23semidirect
396. #399C23semidirect
397. #398C23semidirect
398. #397C23semidirect
399. #397C23semidirect
400. #397C23semidirect
401. #397C23semidirect
402. #397C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #396C23semidirect
407. #396C23semidirect
408. #396C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
414. #394C23semidirect
415. #394C23semidirect
416. #394C23semidirect
417. #394C23semidirect
418. #394C23semidirect
419. #394C23semidirect
420. #394C23semidirect
421. #394C23semidirect
422. #394C23semidirect
423. #394C23semidirect
424. #393C23semidirect
425. #393C23semidirect
430. #391C23semidirect
431. #391C23semidirect
433. #390C23semidirect
434. #390C23semidirect
435. #390C23semidirect
436. #390C23semidirect
437. #390C23semidirect
438. #389C23semidirect
439. #388C23semidirect
440. #388C23semidirect
441. #388C23semidirect
442. #388C23semidirect
443. #388C23semidirect
444. #388C23semidirect
445. #388C23semidirect
446. #388C23semidirect
447. #388C23semidirect
448. #388C23semidirect
449. #388C23semidirect
450. #388C23semidirect
451. #388C23semidirect
452. #388C23semidirect
453. #388C23semidirect
454. #388C23semidirect
455. #388C23semidirect
456. #387C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
472. #386C23semidirect
473. #386C23semidirect
474. #386C23semidirect
475. #386C23semidirect
476. #386C23semidirect
477. #386C23semidirect
478. #386C23semidirect
479. #386C23semidirect
480. #386C23semidirect
481. #386C23semidirect
482. #386C23semidirect
483. #386C23semidirect
484. #385C23semidirect
485. #385C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #385C23semidirect
489. #385C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #385C23semidirect
495. #385C23semidirect
496. #383C23semidirect
497. #382C23semidirect
498. #381C23semidirect
499. #381C23semidirect
500. #381C23semidirect
501. #380C23semidirect
502. #380C23semidirect
503. #380C23semidirect
507. #379C23semidirect
508. #379C23semidirect
509. #379C23semidirect
510. #379C23semidirect
511. #379C23semidirect
512. C4×C4⋊C4C23semidirect
513. C4×C22⋊C4C23semidirect
514. C4×C22⋊C4C23semidirect
515. C4×C22⋊C4C23semidirect
516. C4×C22⋊C4C23semidirect
517. C4×C22⋊C4C23semidirect
518. C4×C22⋊C4C23semidirect
557. C2×#95C23semidirect
558. C2×#95C23semidirect
1705. C2#38532direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27972
C2×#27802
C2×#27782
C2×#27502
C2×#27492
C2×#27102
C2×#26972
C2×#26842
#385322
C2×#28492
C2×#25762
C2×#25542
C2×#25342
C2×#24822
C2×#25102
C2×#24882
C2×#24112
C2×#24352
C2×#24502
C2×#24592
C2×#24802
C2×#24052
C2×#24182
C2×#24032
C2×#26362
C2×#26482
C2×#23592
C2×D4×C22⋊C42
C2×#23372
C2×#23212
C2×C4×#1202
C22×#3862