Finite Group Databasebeta

← C2×#38534 #7635755

Subgroups — C2×#38534 #7635755

Order 512.

8236 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2797C211yesmaximal, characteristic, complemented
2C2×#2753C211yesmaximal, characteristic, complemented
3C2×#2752C211yesmaximal, characteristic, complemented
4C2×#2748C211yesmaximal, characteristic, complemented
5C2×#2743C211yesmaximal, characteristic, complemented
6C2×#2703C211yesmaximal, characteristic, complemented
7C2×#2701C211yesmaximal, characteristic, complemented
8C2×#2688C211yesmaximal, characteristic, complemented
9#38534C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic, complemented
11C2×#2539C211yesmaximal, characteristic, complemented
12C2×#2482C211yesmaximal, characteristic, complemented
13C2×#2516C211yesmaximal, characteristic, complemented
14C2×#2505C211yesmaximal, characteristic, complemented
15C2×#2411C211yesmaximal, characteristic, complemented
16C2×#2471C211yesmaximal, characteristic, complemented
17C2×#2420C211yesmaximal, characteristic, complemented
18C2×#2464C211yesmaximal, characteristic, complemented
19C2×#2408C211yesmaximal, characteristic, complemented
20C2×#2444C211yesmaximal, characteristic, complemented
21C2×#2419C211yesmaximal, characteristic, complemented
22C2×#2412C211yesmaximal, characteristic, complemented
23C2×#2424C211yesmaximal, characteristic, complemented
24C2×#2410C211yesmaximal, characteristic, complemented
25C2×#2649C211yesmaximal, characteristic, complemented
26C2×#2635C211yesmaximal, characteristic, complemented
27C2×#2359C211yesmaximal, characteristic, complemented
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2333C211yesmaximal, characteristic, complemented
30C2×#2324C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#386C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic, complemented
38C22×#123C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C22×#121C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic, complemented
45C22×#120C2211yescharacteristic
46C22×#120C2211yescharacteristic
47C22×#120C2211yescharacteristic
48C22×#120C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic, complemented
53C22×#117C2211yescharacteristic
54C22×#117C2211yescharacteristic, complemented
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59#2849C22116yescomplemented
60#2797C22116yescomplemented
61#2753C22116yescomplemented
62#2752C22116yescomplemented
63#2748C22116yescomplemented
64#2743C22116yescomplemented
65#2703C22116yescomplemented
66#2701C22116yescomplemented
67#2688C22116yescomplemented
68#2649C22116yescomplemented
69#2635C22116yescomplemented
70#2539C22116yescomplemented
71#2516C22116yescomplemented
72#2505C22116yescomplemented
73#2482C22116yescomplemented
74#2471C22116yescomplemented
75#2464C22116yescomplemented
76#2444C22116yescomplemented
77#2424C22116yescomplemented
78#2420C22116yescomplemented
79#2419C22116yescomplemented
80#2412C22116yescomplemented
81#2411C22116yescomplemented
82#2410C22116yescomplemented
83#2408C22116yescomplemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#399C2211yescharacteristic, complemented
90C2×#399C2211yescharacteristic, complemented
91C2×#399C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
93C2×#398C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#397C2211yescharacteristic, complemented
97C2×#397C2211yescharacteristic, complemented
98C2×#397C2211yescharacteristic, complemented
99C2×#397C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic, complemented
101C2×#397C2211yescharacteristic, complemented
102C2×#397C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic
109C2×#394C2211yescharacteristic
110C2×#394C2211yescharacteristic, complemented
111C2×#394C2211yescharacteristic, complemented
112C2×#394C2211yescharacteristic, complemented
113C2×#394C2211yescharacteristic, complemented
114C2×#394C2211yescharacteristic, complemented
115C2×#394C2211yescharacteristic, complemented
116C2×#394C2211yescharacteristic, complemented
117C2×#392C2211yescharacteristic
118C2×#392C2211yescharacteristic
119C2×#392C2211yescharacteristic
120C2×#392C2211yescharacteristic
121C2×#392C2211yescharacteristic, complemented
122C2×#392C2211yescharacteristic, complemented
123C2×#392C2211yescharacteristic, complemented
124#2359C22116yescomplemented
125#2342C22116yescomplemented
126#2333C22116yescomplemented
127#2324C22116yescomplemented
128C4×#120C22116yescomplemented
129C2×#390C2211yescharacteristic
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic, complemented
132C2×#390C2211yescharacteristic, complemented
133C2×#390C2211yescharacteristic, complemented
134C2×#390C2211yescharacteristic, complemented
135C2×#390C2211yescharacteristic, complemented
136C2×#390C2211yescharacteristic, complemented
137C2×#390C2211yescharacteristic, complemented
138C2×#389C2211yescharacteristic, complemented
139C2×#389C2211yescharacteristic, 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×#388C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
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
174C2×#386C2211yescharacteristic
175C2×#386C22116yescomplemented
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#382C2211yescharacteristic, complemented
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic, complemented
199C2×#381C2211yescharacteristic, complemented
200C2×#381C2211yescharacteristic, complemented
201C2×#381C2211yescharacteristic, complemented
202C2×#381C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic
208C2×#379C2211yescharacteristic
209C2×#379C2211yescharacteristic
210C2×C4×C4⋊C4C2211yescharacteristic, complemented
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×D4—28no—
222C23×D4—44no—
223C23×D4—44no—
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2318yes—
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C24×C4—44no—
241C24×C4—44no—
242C24×C4—44no—
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2318yes—
256C24×C4C2311yescharacteristic
257C2×#123—28no—
258C2×#123—44no—
259C2×#123—44no—
260C2×#123—44no—
261C2×#123C2318yes—
262C2×#123C2318yes—
263C2×#123C2318yescomplemented
264C2×#123C2318yescomplemented
265C2×#121—28no—
266C2×#121—28no—
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121C2318yes—
272C2×#121C2318yes—
273C2×#121C2318yes—
274C2×#121C2318yes—
275C2×#121C2318yes—
276C2×#121C2318yescomplemented
277C2×#120—28no—
278C2×#120—44no—
279C2×#120—44no—
280C2×#120—44no—
281C2×#120C2318yes—
282C2×#120C2318yes—
283C2×#120C2318yes—
284C2×#120C2318yes—
285C2×C4×D4—44no—
286C2×C4×D4—44no—
287C2×C4×D4—44no—
288C2×C4×D4—44no—
289C2×C4×D4C2318yes—
290C2×C4×D4C2318yes—
291C2×C4×D4C2318yescomplemented
292C2×C4×D4C2318yescomplemented
293C2×#117—44no—
294C2×#117—44no—
295C2×#117C2318yes—
296C2×#117C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C22⋊C4—28no—
321C22×C22⋊C4—44no—
322C22×C22⋊C4—44no—
323C22×C22⋊C4—44no—
324C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2318yes—
380C22×C22⋊C4C2318yes—
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392#400C2318yescomplemented
393#400C2318yescomplemented
394#400C2318yescomplemented
395#400C2318yescomplemented
396#400C2318yescomplemented
397#399C2318yescomplemented
398#399C2318yescomplemented
399#399C2318yescomplemented
400#399C2318yescomplemented
401#398C2318yescomplemented
402#398C2318yescomplemented
403#397C2318yescomplemented
404#397C2318yescomplemented
405#397C2318yescomplemented
406#397C2318yescomplemented
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#397C2318yescomplemented
411#396C2318yescomplemented
412#396C2318yescomplemented
413#396C2318yescomplemented
414#394C2318yes—
415#394C2318yes—
416#394C2318yes—
417#394C2318yes—
418#394C2318yescomplemented
419#394C2318yescomplemented
420#394C2318yescomplemented
421#394C2318yescomplemented
422#394C2318yescomplemented
423#394C2318yescomplemented
424#394C2318yescomplemented
425#392C2318yes—
426#392C2318yes—
427#392C2318yes—
428#392C2318yes—
429#392C2318yescomplemented
430#392C2318yescomplemented
431#392C2318yescomplemented
432#390C2318yes—
433#390C2318yes—
434#390C2318yescomplemented
435#390C2318yescomplemented
436#390C2318yescomplemented
437#390C2318yescomplemented
438#390C2318yescomplemented
439#390C2318yescomplemented
440#390C2318yescomplemented
441#389C2318yescomplemented
442#389C2318yescomplemented
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#388C2318yescomplemented
457#387C2318yescomplemented
458#387C2318yescomplemented
459#387C2318yescomplemented
460#387C2318yescomplemented
461#387C2318yescomplemented
462#387C2318yescomplemented
463#387C2318yescomplemented
464#386C2318yes—
465#386C2318yes—
466#386C2318yes—
467#386C2318yes—
468#386C2318yes—
469#386C2318yes—
470#386C2318yes—
471#386C2318yes—
472#386C2318yes—
473#386C2318yes—
474#386C2318yes—
475#386C2318yes—
476#386C2318yes—
477#386C2318yes—
478#386C2318yescomplemented
479#386C2318yescomplemented
480#386C2318yescomplemented
481#386C2318yescomplemented
482#386C2318yescomplemented
483#386C2318yescomplemented
484#386C2318yescomplemented
485#386C2318yescomplemented
486#385C2318yes—
487#385C2318yes—
488#385C2318yes—
489#385C2318yes—
490#385C2318yes—
491#385C2318yes—
492#385C2318yescomplemented
493#385C2318yescomplemented
494#385C2318yescomplemented
495#385C2318yescomplemented
496#385C2318yescomplemented
497#385C2318yescomplemented
498#382C2318yescomplemented
499#381C2318yes—
500#381C2318yescomplemented
501#381C2318yescomplemented
502#381C2318yescomplemented
503#381C2318yescomplemented
504#381C2318yescomplemented
505#380C2318yes—
506#380C2318yescomplemented
507#380C2318yescomplemented
508#380C2318yescomplemented
509#379C2318yes—
510#379C2318yes—
511#379C2318yes—
512C4×C4⋊C4C2318yescomplemented
513C4×C22⋊C4C2318yes—
514C4×C22⋊C4C2318yes—
515C4×C22⋊C4C2318yescomplemented
516C4×C22⋊C4C2318yescomplemented
517C4×C22⋊C4C2318yescomplemented
518C4×C22⋊C4C2318yescomplemented
519C2×#95C2318yes—
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×#95C2318yes—
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—24no—
564C25—24no—
565C25—24no—
566C25—24no—
567C25—24no—
568C25—42no—
569C25—42no—
570C25—42no—
571C25—42no—
572C25—42no—
573C25C2411yescharacteristic
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2414yes—
580C25C2414yes—
581C25C2411yescharacteristic
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
589C22×D4—24no—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—232no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—416no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
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—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—416no—
629C22×D4—464no—
630C22×D4#4118yes—
631C22×D4C2414yes—
632C22×D4C2414yes—
633C22×D4C2414yes—
634C22×D4C2414yes—
635C22×D4C2414yes—
636C22×D4C2414yes—
637C22×D4C2414yes—
638C22×D4C2414yes—
639C22×D4C2414yes—
640C22×D4C2414yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C23×C4—24no—
647C23×C4—24no—
648C23×C4—24no—
649C23×C4—24no—
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—416no—
665C23×C4—42no—
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—416no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—42no—
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—464no—
689C23×C4C2414yes—
690C23×C4C2411yescharacteristic
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×C4C2414yes—
711C23×C4C2414yes—
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2414yes—
721C23×C4C2414yes—
722C23×C4C2414yes—
723C23×C4C2414yes—
724C23×C4C2414yes—
725C23×C4C2414yes—
726#123—232no—
727#123—416no—
728#123—416no—
729#123—416no—
730#121—232no—
731#121—232no—
732#121—416no—
733#121—416no—
734#121—416no—
735#121—416no—
736#120—232no—
737#120—416no—
738#120—416no—
739#120—416no—
740C4×D4—416no—
741C4×D4—416no—
742C4×D4—416no—
743C4×D4—416no—
744#117—416no—
745#117—416no—
746C2×C4⋊C4—24no—
747C2×C4⋊C4—24no—
748C2×C4⋊C4—24no—
749C2×C4⋊C4—24no—
750C2×C4⋊C4—24no—
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⋊C4—42no—
765C2×C4⋊C4—42no—
766C2×C4⋊C4—42no—
767C2×C4⋊C4—42no—
768C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
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—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—232no—
813C2×C22⋊C4—416no—
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—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—416no—
825C2×C22⋊C4—416no—
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⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4#4118yes—
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×C42—24no—
909C2×C42—42no—
910C2×C42—42no—
911C2×C42—42no—
912C2×C42—42no—
913C2×C42—42no—
914C2×C42—42no—
915C2×C42—42no—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924#95C2414yes—
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—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—232no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—28no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—28no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—28no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—28no—
992C24—22no—
993C24—22no—
994C24—28no—
995C24—22no—
996C24—22no—
997C24—22no—
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—44no—
1016C24—44no—
1017C24—44no—
1018C24—44no—
1019C24—44no—
1020C24—416no—
1021C24—416no—
1022C24—416no—
1023C24—416no—
1024C24—416no—
1025C24—416no—
1026C24—416no—
1027C24—416no—
1028C24—416no—
1029C24—416no—
1030C24—88no—
1031C24—88no—
1032C24—88no—
1033C24C2×#4114yes—
1034C24C2×#4114yes—
1035C24C2×#4114yes—
1036C24H(5,𝔽2)14yes—
1037C24H(5,𝔽2)14yes—
1038C24H(5,𝔽2)14yes—
1039C24C2512yes—
1040C24C2512yes—
1041C24C2512yes—
1042C24C2512yes—
1043C24C2512yes—
1044C24C2512yes—
1045C24C2512yes—
1046C24C2511yescharacteristic
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—28no—
1052C2×D4—28no—
1053C2×D4—28no—
1054C2×D4—28no—
1055C2×D4—28no—
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—28no—
1060C2×D4—28no—
1061C2×D4—28no—
1062C2×D4—28no—
1063C2×D4—28no—
1064C2×D4—28no—
1065C2×D4—28no—
1066C2×D4—44no—
1067C2×D4—416no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—416no—
1076C2×D4—416no—
1077C2×D4—416no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
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—416no—
1096C2×D4—4128no—
1097C2×D4—416no—
1098C2×D4—416no—
1099C2×D4—416no—
1100C2×D4—88no—
1101C2×D4—88no—
1102C2×D4—88no—
1103C2×D4—88no—
1104C2×D4—88no—
1105C2×D4—88no—
1106C2×D4—88no—
1107C2×D4C2×#41116yes—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
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—28no—
1128C22×C4—28no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
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—28no—
1159C22×C4—28no—
1160C22×C4—28no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—28no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—28no—
1186C22×C4—28no—
1187C22×C4—28no—
1188C22×C4—28no—
1189C22×C4—28no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—28no—
1193C22×C4—28no—
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—
1210C22×C4—44no—
1211C22×C4—44no—
1212C22×C4—44no—
1213C22×C4—44no—
1214C22×C4—44no—
1215C22×C4—416no—
1216C22×C4—416no—
1217C22×C4—416no—
1218C22×C4—416no—
1219C22×C4—416no—
1220C22×C4—416no—
1221C22×C4—416no—
1222C22×C4—4128no—
1223C22×C4—416no—
1224C22×C4—416no—
1225C22×C4—88no—
1226C22×C4—88no—
1227C22×C4—88no—
1228C22×C4—88no—
1229C22×C4C2×#4114yes—
1230C22×C4C2×#4114yes—
1231C22×C4C2×#4114yes—
1232C22×C4H(5,𝔽2)14yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
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—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—44no—
1263C4⋊C4—44no—
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—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
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—44no—
1301C22⋊C4—44no—
1302C22⋊C4—44no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—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⋊C4C2×#41116yes—
1336C42—28no—
1337C42—44no—
1338C42—44no—
1339C42—44no—
1340C42—44no—
1341C42—44no—
1342C42—44no—
1343C42—44no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—28no—
1349C23—28no—
1350C23—28no—
1351C23—28no—
1352C23—28no—
1353C23—28no—
1354C23—232no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
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—28no—
1374C23—28no—
1375C23—28no—
1376C23—28no—
1377C23—28no—
1378C23—28no—
1379C23—28no—
1380C23—28no—
1381C23—28no—
1382C23—22no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—22no—
1402C23—22no—
1403C23—416no—
1404C23—416no—
1405C23—416no—
1406C23—416no—
1407C23—416no—
1408C23—416no—
1409C23—416no—
1410C23—4128no—
1411C23—416no—
1412C23—416no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—44no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—416no—
1428C23—44no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—44no—
1438C23—44no—
1439C23—44no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—88no—
1448C23—88no—
1449C23—88no—
1450C23—864no—
1451C23#540116yes—
1452C23C22×#4114yes—
1453C23C22×#4114yes—
1454C23C22×#4114yes—
1455C23C22×#4112yes—
1456C23C22×#4112yes—
1457C23C2×H(5,𝔽2)14yes—
1458C23C2×H(5,𝔽2)14yes—
1459C23C2×H(5,𝔽2)14yes—
1460C23C2×H(5,𝔽2)12yes—
1461C23C2×H(5,𝔽2)12yes—
1462C23C2×H(5,𝔽2)12yes—
1463C23C2×H(5,𝔽2)12yes—
1464C23#58512yes—
1465C23C2611yescharacteristic
1466D4—416no—
1467D4—416no—
1468D4—416no—
1469D4—416no—
1470D4—416no—
1471D4—416no—
1472D4—416no—
1473D4—416no—
1474D4—88no—
1475D4—88no—
1476D4—88no—
1477D4—88no—
1478D4—88no—
1479D4—88no—
1480D4—88no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—28no—
1490C2×C4—28no—
1491C2×C4—28no—
1492C2×C4—28no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
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—416no—
1554C2×C4—416no—
1555C2×C4—416no—
1556C2×C4—416no—
1557C2×C4—416no—
1558C2×C4—416no—
1559C2×C4—416no—
1560C2×C4—416no—
1561C2×C4—416no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
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—88no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4C22×#4114yes—
1587C2×C4C22×#4114yes—
1588C2×C4C22×#4114yes—
1589C2×C4C2×H(5,𝔽2)14yes—
1590C22—24no—
1591C22—24no—
1592C22—24no—
1593C22—232no—
1594C22—24no—
1595C22—24no—
1596C22—24no—
1597C22—24no—
1598C22—24no—
1599C22—24no—
1600C22—24no—
1601C22—24no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—464no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—416no—
1611C22—416no—
1612C22—416no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
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—832no—
1644C22—88no—
1645C22—88no—
1646C22—88no—
1647C22C2×#54018yes—
1648C22C2×#54014yes—
1649C22#348114yes—
1650C22#349014yes—
1651C22#351314yes—
1652C22#351314yes—
1653C22#353214yes—
1654C22#354214yes—
1655C22C23×#4111yescharacteristic
1656C22C23×#4111yescharacteristic
1657C22C22×H(5,𝔽2)11yescharacteristic
1658C22C22×H(5,𝔽2)11yescharacteristic
1659C22C22×H(5,𝔽2)11yescharacteristic
1660C22C22×H(5,𝔽2)11yescharacteristic
1661C22C2×#58511yescharacteristic
1662C4—24no—
1663C4—24no—
1664C4—24no—
1665C4—24no—
1666C4—42no—
1667C4—42no—
1668C4—42no—
1669C4—42no—
1670C4—42no—
1671C4—42no—
1672C4—42no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—42no—
1686C2—28no—
1687C2—44no—
1688C2—44no—
1689C2—44no—
1690C2—82no—
1691C2—82no—
1692C2—82no—
1693C2#3853418yesdirect product factor
1694C2C22×#54011yescharacteristic
1695C2C2×#348111yescharacteristic
1696C2C2×#353211yescharacteristic
1697C2C2×#354211yescharacteristic
1698C2C2×#349011yescharacteristic
1699C2C2×#351311yescharacteristic
1700C2C2×#351311yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2797C2semidirect
2. C2×#2753C2semidirect
3. C2×#2752C2semidirect
4. C2×#2748C2semidirect
5. C2×#2743C2semidirect
6. C2×#2703C2semidirect
7. C2×#2701C2semidirect
8. C2×#2688C2semidirect
9. #38534C2direct (N × H)
10. C2×#2849C2semidirect
11. C2×#2539C2semidirect
12. C2×#2482C2semidirect
13. C2×#2516C2semidirect
14. C2×#2505C2semidirect
15. C2×#2411C2semidirect
16. C2×#2471C2semidirect
17. C2×#2420C2semidirect
18. C2×#2464C2semidirect
19. C2×#2408C2semidirect
20. C2×#2444C2semidirect
21. C2×#2419C2semidirect
22. C2×#2412C2semidirect
23. C2×#2424C2semidirect
24. C2×#2410C2semidirect
25. C2×#2649C2semidirect
26. C2×#2635C2semidirect
27. C2×#2359C2semidirect
28. C2×#2342C2semidirect
29. C2×#2333C2semidirect
30. C2×#2324C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#386C2semidirect
37. C22×#123C22semidirect
38. C22×#123C22semidirect
44. C22×#121C22semidirect
51. C22×C4×D4C22semidirect
52. C22×C4×D4C22semidirect
54. C22×#117C22semidirect
59. #2849C22semidirect
60. #2797C22semidirect
61. #2753C22semidirect
62. #2752C22semidirect
63. #2748C22semidirect
64. #2743C22semidirect
65. #2703C22semidirect
66. #2701C22semidirect
67. #2688C22semidirect
68. #2649C22semidirect
69. #2635C22semidirect
70. #2539C22semidirect
71. #2516C22semidirect
72. #2505C22semidirect
73. #2482C22semidirect
74. #2471C22semidirect
75. #2464C22semidirect
76. #2444C22semidirect
77. #2424C22semidirect
78. #2420C22semidirect
79. #2419C22semidirect
80. #2412C22semidirect
81. #2411C22semidirect
82. #2410C22semidirect
83. #2408C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#399C22semidirect
90. C2×#399C22semidirect
91. C2×#399C22semidirect
92. C2×#399C22semidirect
93. C2×#398C22semidirect
94. C2×#398C22semidirect
95. C2×#397C22semidirect
96. C2×#397C22semidirect
97. C2×#397C22semidirect
98. C2×#397C22semidirect
99. C2×#397C22semidirect
100. C2×#397C22semidirect
101. C2×#397C22semidirect
102. C2×#397C22semidirect
103. C2×#396C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
110. C2×#394C22semidirect
111. C2×#394C22semidirect
112. C2×#394C22semidirect
113. C2×#394C22semidirect
114. C2×#394C22semidirect
115. C2×#394C22semidirect
116. C2×#394C22semidirect
121. C2×#392C22semidirect
122. C2×#392C22semidirect
123. C2×#392C22semidirect
124. #2359C22semidirect
125. #2342C22semidirect
126. #2333C22semidirect
127. #2324C22semidirect
128. C4×#120C22semidirect
131. C2×#390C22semidirect
132. C2×#390C22semidirect
133. C2×#390C22semidirect
134. C2×#390C22semidirect
135. C2×#390C22semidirect
136. C2×#390C22semidirect
137. C2×#390C22semidirect
138. C2×#389C22semidirect
139. C2×#389C22semidirect
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×#388C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
175. C2×#386C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#382C22semidirect
198. C2×#381C22semidirect
199. C2×#381C22semidirect
200. C2×#381C22semidirect
201. C2×#381C22semidirect
202. C2×#381C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
210. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
263. C2×#123C23semidirect
264. C2×#123C23semidirect
276. C2×#121C23semidirect
291. C2×C4×D4C23semidirect
292. C2×C4×D4C23semidirect
296. C2×#117C23semidirect
392. #400C23semidirect
393. #400C23semidirect
394. #400C23semidirect
395. #400C23semidirect
396. #400C23semidirect
397. #399C23semidirect
398. #399C23semidirect
399. #399C23semidirect
400. #399C23semidirect
401. #398C23semidirect
402. #398C23semidirect
403. #397C23semidirect
404. #397C23semidirect
405. #397C23semidirect
406. #397C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
410. #397C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
418. #394C23semidirect
419. #394C23semidirect
420. #394C23semidirect
421. #394C23semidirect
422. #394C23semidirect
423. #394C23semidirect
424. #394C23semidirect
429. #392C23semidirect
430. #392C23semidirect
431. #392C23semidirect
434. #390C23semidirect
435. #390C23semidirect
436. #390C23semidirect
437. #390C23semidirect
438. #390C23semidirect
439. #390C23semidirect
440. #390C23semidirect
441. #389C23semidirect
442. #389C23semidirect
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. #388C23semidirect
457. #387C23semidirect
458. #387C23semidirect
459. #387C23semidirect
460. #387C23semidirect
461. #387C23semidirect
462. #387C23semidirect
463. #387C23semidirect
478. #386C23semidirect
479. #386C23semidirect
480. #386C23semidirect
481. #386C23semidirect
482. #386C23semidirect
483. #386C23semidirect
484. #386C23semidirect
485. #386C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #385C23semidirect
495. #385C23semidirect
496. #385C23semidirect
497. #385C23semidirect
498. #382C23semidirect
500. #381C23semidirect
501. #381C23semidirect
502. #381C23semidirect
503. #381C23semidirect
504. #381C23semidirect
506. #380C23semidirect
507. #380C23semidirect
508. #380C23semidirect
512. C4×C4⋊C4C23semidirect
515. C4×C22⋊C4C23semidirect
516. C4×C22⋊C4C23semidirect
517. C4×C22⋊C4C23semidirect
518. C4×C22⋊C4C23semidirect
1693. C2#38534direct (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×#27532
C2×#27522
C2×#27482
C2×#27432
C2×#27032
C2×#27012
C2×#26882
#385342
C2×#28492
C2×#25392
C2×#24822
C2×#25162
C2×#25052
C2×#24112
C2×#24712
C2×#24202
C2×#24642
C2×#24082
C2×#24442
C2×#24192
C2×#24122
C2×#24242
C2×#24102
C2×#26492
C2×#26352
C2×#23592
C2×#23422
C2×#23332
C2×#23242
C2×C4×#1202
C22×#3862