Finite Group Databasebeta

← C2×#53535 #8101439

Subgroups — C2×#53535 #8101439

Order 512.

6342 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53535C2132yesmaximal, direct product factor
2C2×#2753C211yesmaximal, characteristic, complemented
3C2×#2749C211yesmaximal, characteristic, complemented
4C2×#2735C211yesmaximal, characteristic, complemented
5C2×#2703C211yesmaximal, characteristic, complemented
6C2×#2703C211yesmaximal, characteristic, complemented
7C2×#2699C211yesmaximal, characteristic, complemented
8C2×#2694C211yesmaximal, characteristic, complemented
9C2×#2686C211yesmaximal, characteristic, complemented
10C2×#2682C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2678C211yesmaximal, characteristic, complemented
13C2×#2676C211yesmaximal, characteristic, complemented
14C2×#2670C211yesmaximal, characteristic, complemented
15C2×#2670C211yesmaximal, characteristic, complemented
16C2×#2668C211yesmaximal, characteristic, complemented
17C2×#2668C211yesmaximal, characteristic, complemented
18C2×#2820C211yesmaximal, characteristic, complemented
19C2×#2825C211yesmaximal, characteristic, complemented
20C2×#2838C211yesmaximal, characteristic, complemented
21C2×#2557C211yesmaximal, characteristic, complemented
22C2×#2555C211yesmaximal, characteristic, complemented
23C2×#2555C211yesmaximal, characteristic, complemented
24C2×#2490C211yesmaximal, characteristic, complemented
25C2×#2516C211yesmaximal, characteristic, complemented
26C2×#2510C211yesmaximal, characteristic, complemented
27C2×#2488C211yesmaximal, characteristic, complemented
28C2×#2448C211yesmaximal, characteristic, complemented
29C2×#2426C211yesmaximal, characteristic, complemented
30C2×#2632C211yesmaximal, characteristic, complemented
31C2×#2656C211yesmaximal, characteristic, complemented
32C2×#2649C211yesmaximal, characteristic, complemented
33C22×#125C2211yescharacteristic, complemented
34C22×#124C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#124C2211yescharacteristic
37C22×#124C2211yescharacteristic
38C22×#124C2211yescharacteristic, complemented
39C22×#123C2211yescharacteristic
40C22×#123C2211yescharacteristic
41C22×#123C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×#121C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C22×#121C2211yescharacteristic
47C22×#121C2211yescharacteristic
48C22×#121C2211yescharacteristic
49C22×#121C2211yescharacteristic, complemented
50C22×#121C2211yescharacteristic, complemented
51C22×#121C2211yescharacteristic, complemented
52C22×#120C2211yescharacteristic
53C22×#120C2211yescharacteristic
54C22×#120C2211yescharacteristic
55C22×#120C2211yescharacteristic
56C22×C4×Q8C2211yescharacteristic, complemented
57#2838C22116yescomplemented
58#2825C22116yescomplemented
59#2820C22116yescomplemented
60#2753C22116yescomplemented
61#2749C22116yescomplemented
62#2735C22116yescomplemented
63#2703C22116yescomplemented
64#2703C22116yescomplemented
65#2699C22116yescomplemented
66#2694C22116yescomplemented
67#2686C22116yescomplemented
68#2682C22116yescomplemented
69#2678C22116yescomplemented
70#2678C22116yescomplemented
71#2676C22116yescomplemented
72#2670C22116yescomplemented
73#2670C22116yescomplemented
74#2668C22116yescomplemented
75#2668C22116yescomplemented
76#2656C22116yescomplemented
77#2649C22116yescomplemented
78#2632C22116yescomplemented
79#2557C22116yescomplemented
80#2555C22116yescomplemented
81#2555C22116yescomplemented
82#2516C22116yescomplemented
83#2510C22116yescomplemented
84#2490C22116yescomplemented
85#2488C22116yescomplemented
86#2448C22116yescomplemented
87#2426C22116yescomplemented
88C2×#401C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#400C2211yescharacteristic, complemented
93C2×#399C2211yescharacteristic
94C2×#399C2211yescharacteristic
95C2×#399C2211yescharacteristic
96C2×#399C2211yescharacteristic, complemented
97C2×#399C2211yescharacteristic, complemented
98C2×#399C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#397C2211yescharacteristic
101C2×#397C2211yescharacteristic
102C2×#397C2211yescharacteristic
103C2×#397C2211yescharacteristic
104C2×#397C2211yescharacteristic
105C2×#397C2211yescharacteristic
106C2×#397C2211yescharacteristic
107C2×#397C2211yescharacteristic
108C2×#397C2211yescharacteristic
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#395C2211yescharacteristic, complemented
119C2×#395C2211yescharacteristic, complemented
120C2×#395C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic
137C2×#393C2211yescharacteristic
138C2×#393C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic
146C2×#392C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic, complemented
152C2×#391C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#389C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#387C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#383C2211yescharacteristic, complemented
205C2×#382C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#381C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C2×#125—44no—
247C2×#125C2318yescomplemented
248C2×#124—44no—
249C2×#124—44no—
250C2×#124—44no—
251C2×#124—44no—
252C2×#124—44no—
253C2×#124C2318yes—
254C2×#124C2318yes—
255C2×#124C2318yes—
256C2×#124C2318yes—
257C2×#124C2318yescomplemented
258C2×#123—44no—
259C2×#123—44no—
260C2×#123—44no—
261C2×#123C2318yes—
262C2×#123C2318yes—
263C2×#123C2318yescomplemented
264C2×C22⋊Q8—44no—
265C2×C22⋊Q8C2318yescomplemented
266C2×#121—44no—
267C2×#121—44no—
268C2×#121—44no—
269C2×#121—44no—
270C2×#121—44no—
271C2×#121—44no—
272C2×#121—44no—
273C2×#121—44no—
274C2×#121—44no—
275C2×#121C2318yes—
276C2×#121C2318yes—
277C2×#121C2318yes—
278C2×#121C2318yes—
279C2×#121C2318yes—
280C2×#121C2318yes—
281C2×#121C2318yescomplemented
282C2×#121C2318yescomplemented
283C2×#121C2318yescomplemented
284C2×#120—44no—
285C2×#120—44no—
286C2×#120—44no—
287C2×#120—44no—
288C2×#120C2318yes—
289C2×#120C2318yes—
290C2×#120C2318yes—
291C2×#120C2318yes—
292C2×C4×Q8—44no—
293C2×C4×Q8C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C22⋊C4C2311yescharacteristic
319C22×C22⋊C4C2311yescharacteristic
320C22×C22⋊C4C2311yescharacteristic
321C22×C22⋊C4C2311yescharacteristic
322C22×C22⋊C4C2311yescharacteristic
323C22×C22⋊C4C2311yescharacteristic
324C22×C22⋊C4C2311yescharacteristic
325C22×C22⋊C4C2311yescharacteristic
326C22×C22⋊C4C2311yescharacteristic
327C22×C22⋊C4C2311yescharacteristic
328C22×C22⋊C4C2311yescharacteristic
329C22×C22⋊C4C2311yescharacteristic
330C22×C22⋊C4C2311yescharacteristic
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×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×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386#401C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#400C2318yescomplemented
390#400C2318yescomplemented
391#399C2318yes—
392#399C2318yes—
393#399C2318yes—
394#399C2318yescomplemented
395#399C2318yescomplemented
396#399C2318yescomplemented
397#398C2318yescomplemented
398#397C2318yes—
399#397C2318yes—
400#397C2318yes—
401#397C2318yes—
402#397C2318yes—
403#397C2318yes—
404#397C2318yes—
405#397C2318yes—
406#397C2318yes—
407#397C2318yescomplemented
408#397C2318yescomplemented
409#397C2318yescomplemented
410#396C2318yes—
411#396C2318yes—
412#396C2318yes—
413#396C2318yes—
414#396C2318yescomplemented
415#396C2318yescomplemented
416#395C2318yescomplemented
417#395C2318yescomplemented
418#395C2318yescomplemented
419#394C2318yes—
420#394C2318yes—
421#394C2318yes—
422#394C2318yes—
423#394C2318yes—
424#394C2318yes—
425#394C2318yes—
426#394C2318yes—
427#394C2318yes—
428#394C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yescomplemented
432#394C2318yescomplemented
433#394C2318yescomplemented
434#393C2318yes—
435#393C2318yes—
436#393C2318yescomplemented
437#392C2318yes—
438#392C2318yes—
439#392C2318yes—
440#392C2318yes—
441#392C2318yes—
442#392C2318yes—
443#392C2318yes—
444#392C2318yes—
445#392C2318yes—
446#392C2318yes—
447#392C2318yes—
448#392C2318yes—
449#392C2318yescomplemented
450#391C2318yescomplemented
451#390C2318yes—
452#390C2318yes—
453#390C2318yes—
454#390C2318yes—
455#390C2318yes—
456#390C2318yes—
457#390C2318yes—
458#390C2318yes—
459#390C2318yescomplemented
460#390C2318yescomplemented
461#389C2318yescomplemented
462#389C2318yescomplemented
463#388C2318yes—
464#388C2318yes—
465#388C2318yes—
466#388C2318yes—
467#388C2318yes—
468#388C2318yes—
469#388C2318yes—
470#388C2318yes—
471#388C2318yes—
472#388C2318yes—
473#388C2318yes—
474#388C2318yes—
475#388C2318yescomplemented
476#388C2318yescomplemented
477#388C2318yescomplemented
478#388C2318yescomplemented
479#388C2318yescomplemented
480#388C2318yescomplemented
481#387C2318yescomplemented
482#387C2318yescomplemented
483#387C2318yescomplemented
484#386C2318yes—
485#386C2318yes—
486#386C2318yes—
487#386C2318yes—
488#386C2318yes—
489#386C2318yes—
490#386C2318yes—
491#386C2318yes—
492#386C2318yes—
493#386C2318yes—
494#386C2318yescomplemented
495#386C2318yescomplemented
496#386C2318yescomplemented
497#386C2318yescomplemented
498#386C2318yescomplemented
499#385C2318yescomplemented
500#385C2318yescomplemented
501#385C2318yescomplemented
502#383C2318yescomplemented
503#382C2318yescomplemented
504#381C2318yescomplemented
505#381C2318yescomplemented
506#380C2318yescomplemented
507#380C2318yescomplemented
508#379C2318yes—
509#379C2318yes—
510#379C2318yes—
511C4×C4⋊C4C2318yescomplemented
512C4×C22⋊C4C2318yescomplemented
513C4×C22⋊C4C2318yescomplemented
514C4×C22⋊C4C2318yescomplemented
515C4×C22⋊C4C2318yescomplemented
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2318yescomplemented
553C25—42no—
554C25—42no—
555C25—42no—
556C25—42no—
557C25—42no—
558C25—42no—
559C25—42no—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2411yescharacteristic
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2414yes—
568C22×Q8—24no—
569C22×Q8—24no—
570C22×Q8—42no—
571C22×Q8—42no—
572C22×Q8—42no—
573C22×Q8—42no—
574C22×Q8C2414yes—
575C22×Q8C2414yes—
576C22×D4—24no—
577C22×D4—24no—
578C22×D4—24no—
579C22×D4—24no—
580C22×D4—24no—
581C22×D4—24no—
582C22×D4—24no—
583C22×D4—24no—
584C22×D4—24no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4—42no—
593C22×D4—42no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—42no—
599C22×D4—42no—
600C22×D4—42no—
601C22×D4—42no—
602C22×D4—42no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
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—42no—
629C22×D4—42no—
630C22×D4C2414yes—
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—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C23×C4—24no—
649C23×C4—24no—
650C23×C4—24no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4—42no—
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2414yes—
693C23×C4C2414yes—
694C23×C4C2414yes—
695C23×C4C2414yes—
696#125—416no—
697#124—416no—
698#124—416no—
699#124—416no—
700#124—416no—
701#124—416no—
702#123—416no—
703#123—416no—
704#123—416no—
705C22⋊Q8—416no—
706#121—416no—
707#121—416no—
708#121—416no—
709#121—416no—
710#121—416no—
711#121—416no—
712#121—416no—
713#121—416no—
714#121—416no—
715#120—416no—
716#120—416no—
717#120—416no—
718#120—416no—
719C4×Q8—416no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—42no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4C2414yes—
745C2×C4⋊C4C2414yes—
746C2×C4⋊C4C2414yes—
747C2×C4⋊C4C2414yes—
748C2×C4⋊C4C2414yes—
749C2×C4⋊C4C2414yes—
750C2×C4⋊C4C2414yes—
751C2×C4⋊C4C2414yes—
752C2×C4⋊C4C2414yes—
753C2×C4⋊C4C2414yes—
754C2×C4⋊C4C2414yes—
755C2×C4⋊C4C2414yes—
756C2×C4⋊C4C2414yes—
757C2×C4⋊C4C2414yes—
758C2×C4⋊C4C2414yes—
759C2×C4⋊C4C2414yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C22⋊C4—24no—
769C2×C22⋊C4—24no—
770C2×C22⋊C4—24no—
771C2×C22⋊C4—24no—
772C2×C22⋊C4—24no—
773C2×C22⋊C4—24no—
774C2×C22⋊C4—24no—
775C2×C22⋊C4—24no—
776C2×C22⋊C4—24no—
777C2×C22⋊C4—24no—
778C2×C22⋊C4—24no—
779C2×C22⋊C4—24no—
780C2×C22⋊C4—24no—
781C2×C22⋊C4—24no—
782C2×C22⋊C4—24no—
783C2×C22⋊C4—42no—
784C2×C22⋊C4—42no—
785C2×C22⋊C4—42no—
786C2×C22⋊C4—42no—
787C2×C22⋊C4—42no—
788C2×C22⋊C4—42no—
789C2×C22⋊C4—42no—
790C2×C22⋊C4—42no—
791C2×C22⋊C4—42no—
792C2×C22⋊C4—42no—
793C2×C22⋊C4—42no—
794C2×C22⋊C4—42no—
795C2×C22⋊C4—42no—
796C2×C22⋊C4—42no—
797C2×C22⋊C4—42no—
798C2×C22⋊C4—42no—
799C2×C22⋊C4—42no—
800C2×C22⋊C4—42no—
801C2×C22⋊C4—42no—
802C2×C22⋊C4—42no—
803C2×C22⋊C4—42no—
804C2×C22⋊C4—42no—
805C2×C22⋊C4—42no—
806C2×C22⋊C4—42no—
807C2×C22⋊C4—42no—
808C2×C22⋊C4—42no—
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—42no—
822C2×C22⋊C4—42no—
823C2×C22⋊C4—42no—
824C2×C22⋊C4—42no—
825C2×C22⋊C4—42no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C22⋊C4C2414yes—
846C2×C22⋊C4C2414yes—
847C2×C22⋊C4C2414yes—
848C2×C22⋊C4C2414yes—
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×C42—24no—
889C2×C42—24no—
890C2×C42—42no—
891C2×C42—42no—
892C2×C42—42no—
893C2×C42—42no—
894C2×C42—42no—
895C2×C42—42no—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900C2×C42C2414yes—
901C2×C42C2414yes—
902C2×C42C2414yes—
903C2×C42C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
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—
940C24—22no—
941C24—22no—
942C24—22no—
943C24—22no—
944C24—22no—
945C24—22no—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—22no—
955C24—22no—
956C24—22no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—22no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—44no—
989C24—44no—
990C24—44no—
991C24—44no—
992C24—44no—
993C24—44no—
994C24—44no—
995C24—88no—
996C24—88no—
997C24—88no—
998C24—88no—
999C24—88no—
1000C24—88no—
1001C24—88no—
1002C24H(5,𝔽2)14yes—
1003C24C2512yes—
1004C24C2512yes—
1005C24C2512yes—
1006C24C2512yes—
1007C24C2512yes—
1008C24C2512yes—
1009C24C2512yes—
1010C24C2511yescharacteristic
1011C2×Q8—28no—
1012C2×Q8—28no—
1013C2×Q8—44no—
1014C2×Q8—44no—
1015C2×Q8—44no—
1016C2×Q8—44no—
1017C2×Q8—416no—
1018C2×Q8—88no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—28no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—44no—
1029C2×D4—44no—
1030C2×D4—44no—
1031C2×D4—44no—
1032C2×D4—44no—
1033C2×D4—44no—
1034C2×D4—44no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—44no—
1049C2×D4—44no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—44no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—44no—
1059C2×D4—44no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—44no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—88no—
1074C2×D4—88no—
1075C2×D4—88no—
1076C2×D4—88no—
1077C2×D4—88no—
1078C2×D4—88no—
1079C2×D4—88no—
1080C2×D4—88no—
1081C2×D4—88no—
1082C2×D4—88no—
1083C2×D4—88no—
1084C2×D4—88no—
1085C2×D4—88no—
1086C2×D4—88no—
1087C2×D4—88no—
1088C2×D4—88no—
1089C2×D4—88no—
1090C2×D4—88no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
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—22no—
1128C22×C4—22no—
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—22no—
1159C22×C4—22no—
1160C22×C4—28no—
1161C22×C4—28no—
1162C22×C4—28no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—44no—
1169C22×C4—44no—
1170C22×C4—44no—
1171C22×C4—44no—
1172C22×C4—44no—
1173C22×C4—44no—
1174C22×C4—44no—
1175C22×C4—44no—
1176C22×C4—44no—
1177C22×C4—44no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4—88no—
1181C22×C4—88no—
1182C22×C4—88no—
1183C22×C4—88no—
1184C22×C4H(5,𝔽2)14yes—
1185C22×C4H(5,𝔽2)14yes—
1186C22×C4H(5,𝔽2)14yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—44no—
1217C4⋊C4—44no—
1218C4⋊C4—44no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C22⋊C4—28no—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—44no—
1251C22⋊C4—44no—
1252C22⋊C4—44no—
1253C22⋊C4—44no—
1254C22⋊C4—44no—
1255C22⋊C4—44no—
1256C22⋊C4—44no—
1257C22⋊C4—44no—
1258C22⋊C4—44no—
1259C22⋊C4—44no—
1260C22⋊C4—44no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C42—28no—
1296C42—28no—
1297C42—44no—
1298C42—44no—
1299C42—44no—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—28no—
1310C23—28no—
1311C23—28no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—22no—
1350C23—22no—
1351C23—22no—
1352C23—22no—
1353C23—22no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—88no—
1401C23—88no—
1402C23—88no—
1403C23—88no—
1404C23—88no—
1405C23—88no—
1406C23—88no—
1407C23—864no—
1408C23C2×H(5,𝔽2)14yes—
1409C23C2×H(5,𝔽2)12yes—
1410C23C2×H(5,𝔽2)12yes—
1411C23C2×H(5,𝔽2)12yes—
1412C23C2×H(5,𝔽2)12yes—
1413C23#58512yes—
1414C23#58512yes—
1415C23#58512yes—
1416C23C2611yescharacteristic
1417Q8—416no—
1418Q8—88no—
1419D4—88no—
1420D4—88no—
1421D4—88no—
1422D4—88no—
1423D4—88no—
1424D4—88no—
1425D4—88no—
1426D4—88no—
1427D4—88no—
1428D4—88no—
1429D4—88no—
1430D4—88no—
1431D4—88no—
1432D4—88no—
1433D4—88no—
1434D4—88no—
1435D4—88no—
1436D4—88no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—28no—
1444C2×C4—28no—
1445C2×C4—28no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
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—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
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—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—44no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—88no—
1531C2×C4—88no—
1532C2×C4—88no—
1533C2×C4—88no—
1534C2×C4—88no—
1535C2×C4—88no—
1536C2×C4C2×H(5,𝔽2)14yes—
1537C2×C4C2×H(5,𝔽2)14yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—416no—
1546C22—42no—
1547C22—42no—
1548C22—42no—
1549C22—42no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—42no—
1560C22—42no—
1561C22—42no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—42no—
1573C22—42no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—832no—
1590C22—88no—
1591C22—88no—
1592C22—88no—
1593C22—88no—
1594C22—88no—
1595C22—88no—
1596C22#353414yes—
1597C22#354314yes—
1598C22#354514yes—
1599C22#354614yes—
1600C22#355114yes—
1601C22#355814yes—
1602C22#356014yes—
1603C22C22×H(5,𝔽2)11yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×H(5,𝔽2)11yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C4—24no—
1611C4—24no—
1612C4—24no—
1613C4—42no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—42no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C2—44no—
1635C2—82no—
1636C2—82no—
1637C2—82no—
1638C2—82no—
1639C2—82no—
1640C2—82no—
1641C2#5353518yesdirect product factor
1642C2C2×#353411yescharacteristic
1643C2C2×#355811yescharacteristic
1644C2C2×#356011yescharacteristic
1645C2C2×#355111yescharacteristic
1646C2C2×#354311yescharacteristic
1647C2C2×#354611yescharacteristic
1648C2C2×#354511yescharacteristic
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. #53535C2direct (N × H)
2. C2×#2753C2semidirect
3. C2×#2749C2semidirect
4. C2×#2735C2semidirect
5. C2×#2703C2semidirect
6. C2×#2703C2semidirect
7. C2×#2699C2semidirect
8. C2×#2694C2semidirect
9. C2×#2686C2semidirect
10. C2×#2682C2semidirect
11. C2×#2678C2semidirect
12. C2×#2678C2semidirect
13. C2×#2676C2semidirect
14. C2×#2670C2semidirect
15. C2×#2670C2semidirect
16. C2×#2668C2semidirect
17. C2×#2668C2semidirect
18. C2×#2820C2semidirect
19. C2×#2825C2semidirect
20. C2×#2838C2semidirect
21. C2×#2557C2semidirect
22. C2×#2555C2semidirect
23. C2×#2555C2semidirect
24. C2×#2490C2semidirect
25. C2×#2516C2semidirect
26. C2×#2510C2semidirect
27. C2×#2488C2semidirect
28. C2×#2448C2semidirect
29. C2×#2426C2semidirect
30. C2×#2632C2semidirect
31. C2×#2656C2semidirect
32. C2×#2649C2semidirect
33. C22×#125C22semidirect
38. C22×#124C22semidirect
41. C22×#123C22semidirect
42. C22×C22⋊Q8C22semidirect
49. C22×#121C22semidirect
50. C22×#121C22semidirect
51. C22×#121C22semidirect
56. C22×C4×Q8C22semidirect
57. #2838C22semidirect
58. #2825C22semidirect
59. #2820C22semidirect
60. #2753C22semidirect
61. #2749C22semidirect
62. #2735C22semidirect
63. #2703C22semidirect
64. #2703C22semidirect
65. #2699C22semidirect
66. #2694C22semidirect
67. #2686C22semidirect
68. #2682C22semidirect
69. #2678C22semidirect
70. #2678C22semidirect
71. #2676C22semidirect
72. #2670C22semidirect
73. #2670C22semidirect
74. #2668C22semidirect
75. #2668C22semidirect
76. #2656C22semidirect
77. #2649C22semidirect
78. #2632C22semidirect
79. #2557C22semidirect
80. #2555C22semidirect
81. #2555C22semidirect
82. #2516C22semidirect
83. #2510C22semidirect
84. #2490C22semidirect
85. #2488C22semidirect
86. #2448C22semidirect
87. #2426C22semidirect
88. C2×#401C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
92. C2×#400C22semidirect
96. C2×#399C22semidirect
97. C2×#399C22semidirect
98. C2×#399C22semidirect
99. C2×#398C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#395C22semidirect
119. C2×#395C22semidirect
120. C2×#395C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
138. C2×#393C22semidirect
151. C2×#392C22semidirect
152. C2×#391C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#389C22semidirect
164. C2×#389C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#387C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#383C22semidirect
205. C2×#382C22semidirect
206. C2×#381C22semidirect
207. C2×#381C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
213. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
247. C2×#125C23semidirect
257. C2×#124C23semidirect
263. C2×#123C23semidirect
265. C2×C22⋊Q8C23semidirect
281. C2×#121C23semidirect
282. C2×#121C23semidirect
283. C2×#121C23semidirect
293. C2×C4×Q8C23semidirect
386. #401C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #400C23semidirect
390. #400C23semidirect
394. #399C23semidirect
395. #399C23semidirect
396. #399C23semidirect
397. #398C23semidirect
407. #397C23semidirect
408. #397C23semidirect
409. #397C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #395C23semidirect
417. #395C23semidirect
418. #395C23semidirect
431. #394C23semidirect
432. #394C23semidirect
433. #394C23semidirect
436. #393C23semidirect
449. #392C23semidirect
450. #391C23semidirect
459. #390C23semidirect
460. #390C23semidirect
461. #389C23semidirect
462. #389C23semidirect
475. #388C23semidirect
476. #388C23semidirect
477. #388C23semidirect
478. #388C23semidirect
479. #388C23semidirect
480. #388C23semidirect
481. #387C23semidirect
482. #387C23semidirect
483. #387C23semidirect
494. #386C23semidirect
495. #386C23semidirect
496. #386C23semidirect
497. #386C23semidirect
498. #386C23semidirect
499. #385C23semidirect
500. #385C23semidirect
501. #385C23semidirect
502. #383C23semidirect
503. #382C23semidirect
504. #381C23semidirect
505. #381C23semidirect
506. #380C23semidirect
507. #380C23semidirect
511. C4×C4⋊C4C23semidirect
512. C4×C22⋊C4C23semidirect
513. C4×C22⋊C4C23semidirect
514. C4×C22⋊C4C23semidirect
515. C4×C22⋊C4C23semidirect
552. C2×#95C23semidirect
1641. C2#53535direct (N × H)

Maximal subgroups

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

subgroupindex
#535352
C2×#27532
C2×#27492
C2×#27352
C2×#27032
C2×#26992
C2×#26942
C2×#26862
C2×#26822
C2×#26782
C2×#26762
C2×#26702
C2×#26682
C2×#28202
C2×#28252
C2×#28382
C2×#25572
C2×#25552
C2×#24902
C2×#25162
C2×#25102
C2×#24882
C2×#24482
C2×#24262
C2×#26322
C2×#26562
C2×#26492