Finite Group Databasebeta

← C2×#59689 #7666148

Subgroups — C2×#59689 #7666148

Order 512.

7232 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59689C2132yesmaximal, direct product factor
2C2×#2800C211yesmaximal, characteristic, complemented
3C2×#2753C211yesmaximal, characteristic, complemented
4C2×#2753C211yesmaximal, characteristic, complemented
5C2×#2750C211yesmaximal, characteristic, complemented
6C2×#2603C211yesmaximal, characteristic, complemented
7C2×#2595C211yesmaximal, characteristic, complemented
8C2×#2593C211yesmaximal, characteristic, complemented
9C2×#2587C211yesmaximal, characteristic, complemented
10C2×#2559C211yesmaximal, characteristic, complemented
11C2×#2543C211yesmaximal, characteristic, complemented
12C2×#2529C211yesmaximal, characteristic, complemented
13C2×#2505C211yesmaximal, characteristic, complemented
14C2×#2470C211yesmaximal, characteristic, complemented
15C2×#2414C211yesmaximal, characteristic, complemented
16C2×#2444C211yesmaximal, characteristic, complemented
17C2×#2444C211yesmaximal, characteristic, complemented
18C2×#2481C211yesmaximal, characteristic, complemented
19C2×#2412C211yesmaximal, characteristic, complemented
20C2×#2456C211yesmaximal, characteristic, complemented
21C2×#2424C211yesmaximal, characteristic, complemented
22C2×#2424C211yesmaximal, characteristic, complemented
23C2×#2424C211yesmaximal, characteristic, complemented
24C2×#2364C211yesmaximal, characteristic, complemented
25C2×#2361C211yesmaximal, characteristic, complemented
26C2×#2358C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×#2357C211yesmaximal, characteristic, complemented
29C2×#2349C211yesmaximal, characteristic, complemented
30C2×C4×#121C211yesmaximal, characteristic, complemented
31C2×#2290C211yesmaximal, characteristic, complemented
32C22×#388C211yesmaximal, characteristic, complemented
33C22×#126C2211yescharacteristic, complemented
34C22×#123C2211yescharacteristic
35C22×#121C2211yescharacteristic
36C22×#121C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#121C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C22×#121C2211yescharacteristic
41C22×#120C2211yescharacteristic
42C22×#120C2211yescharacteristic
43C22×#120C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50C22×C4×D4C2211yescharacteristic
51C22×C4×D4C2211yescharacteristic, complemented
52C22×C4×D4C2211yescharacteristic, complemented
53C22×#117C2211yescharacteristic, complemented
54C23×C4⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57C23×C22⋊C4C2211yescharacteristic
58C23×C22⋊C4C2211yescharacteristic
59C23×C42C2211yescharacteristic
60#2800C22116yescomplemented
61#2753C22116yescomplemented
62#2753C22116yescomplemented
63#2750C22116yescomplemented
64#2603C22116yescomplemented
65#2595C22116yescomplemented
66#2593C22116yescomplemented
67#2587C22116yescomplemented
68#2559C22116yescomplemented
69#2543C22116yescomplemented
70#2529C22116yescomplemented
71#2505C22116yescomplemented
72#2481C22116yescomplemented
73#2470C22116yescomplemented
74#2456C22116yescomplemented
75#2444C22116yescomplemented
76#2444C22116yescomplemented
77#2424C22116yescomplemented
78#2424C22116yescomplemented
79#2424C22116yescomplemented
80#2414C22116yescomplemented
81#2412C22116yescomplemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#398C2211yescharacteristic, complemented
89C2×#398C2211yescharacteristic, complemented
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic
92C2×#397C2211yescharacteristic, complemented
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#397C2211yescharacteristic, complemented
96C2×#396C2211yescharacteristic
97C2×#396C2211yescharacteristic
98C2×#396C2211yescharacteristic
99C2×#396C2211yescharacteristic, complemented
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#394C2211yescharacteristic
108C2×#394C2211yescharacteristic, complemented
109C2×#394C2211yescharacteristic, complemented
110C2×#392C2211yescharacteristic
111C2×#392C2211yescharacteristic
112C2×#392C2211yescharacteristic
113C2×#392C2211yescharacteristic, complemented
114#2364C22116yescomplemented
115#2361C22116yescomplemented
116#2358C22116yescomplemented
117#2358C22116yescomplemented
118#2357C22116yescomplemented
119#2349C22116yescomplemented
120C4×#121C22116yescomplemented
121C2×#390C2211yescharacteristic
122C2×#390C2211yescharacteristic
123C2×#390C2211yescharacteristic
124C2×#390C2211yescharacteristic
125C2×#390C2211yescharacteristic
126C2×#390C2211yescharacteristic, complemented
127C2×#390C2211yescharacteristic, complemented
128C2×#389C2211yescharacteristic, complemented
129C2×#389C2211yescharacteristic, complemented
130C2×#389C2211yescharacteristic, complemented
131C2×#389C2211yescharacteristic, complemented
132C2×#389C2211yescharacteristic, complemented
133#2290C22116yescomplemented
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C2211yescharacteristic
141C2×#388C2211yescharacteristic
142C2×#388C2211yescharacteristic
143C2×#388C2211yescharacteristic
144C2×#388C2211yescharacteristic
145C2×#388C2211yescharacteristic
146C2×#388C2211yescharacteristic
147C2×#388C2211yescharacteristic
148C2×#388C2211yescharacteristic
149C2×#388C22116yescomplemented
150C2×#388C2211yescharacteristic, complemented
151C2×#388C2211yescharacteristic, complemented
152C2×#388C2211yescharacteristic, complemented
153C2×#388C2211yescharacteristic, complemented
154C2×#388C2211yescharacteristic, complemented
155C2×#388C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#387C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic, complemented
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#382C2211yescharacteristic, complemented
198C2×#382C2211yescharacteristic, complemented
199C2×#381C2211yescharacteristic
200C2×#381C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic, complemented
204C2×C4×C4⋊C4C2211yescharacteristic, complemented
205C2×C4×C4⋊C4C2211yescharacteristic, complemented
206C2×C4×C4⋊C4C2211yescharacteristic, complemented
207C2×C4×C4⋊C4C2211yescharacteristic, complemented
208C2×C4×C22⋊C4C2211yescharacteristic
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×#376C2211yescharacteristic, complemented
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C23×D4C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C2×#126—44no—
246C2×#126C2318yescomplemented
247C2×#123—44no—
248C2×#123C2318yes—
249C2×#121—28no—
250C2×#121—28no—
251C2×#121—28no—
252C2×#121—44no—
253C2×#121—44no—
254C2×#121—44no—
255C2×#121C2318yes—
256C2×#121C2318yes—
257C2×#121C2318yes—
258C2×#121C2318yes—
259C2×#121C2318yes—
260C2×#121C2318yes—
261C2×#120—28no—
262C2×#120—28no—
263C2×#120—44no—
264C2×#120C2318yes—
265C2×#120C2318yes—
266C2×#120C2318yes—
267C2×C4×D4—28no—
268C2×C4×D4—28no—
269C2×C4×D4—28no—
270C2×C4×D4—44no—
271C2×C4×D4—44no—
272C2×C4×D4—44no—
273C2×C4×D4—44no—
274C2×C4×D4—44no—
275C2×C4×D4—44no—
276C2×C4×D4C2318yes—
277C2×C4×D4C2318yes—
278C2×C4×D4C2318yes—
279C2×C4×D4C2318yes—
280C2×C4×D4C2318yes—
281C2×C4×D4C2318yes—
282C2×C4×D4C2318yes—
283C2×C4×D4C2318yescomplemented
284C2×C4×D4C2318yescomplemented
285C2×#117—44no—
286C2×#117C2318yescomplemented
287C22×C4⋊C4—44no—
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2318yes—
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×C22⋊C4—28no—
316C22×C22⋊C4—44no—
317C22×C22⋊C4—44no—
318C22×C22⋊C4—44no—
319C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
347C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C42—44no—
374C22×C42C2311yescharacteristic
375C22×C42C2311yescharacteristic
376C22×C42C2311yescharacteristic
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2318yes—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388#400C2318yescomplemented
389#400C2318yescomplemented
390#400C2318yescomplemented
391#400C2318yescomplemented
392#400C2318yescomplemented
393#400C2318yescomplemented
394#398C2318yescomplemented
395#398C2318yescomplemented
396#397C2318yes—
397#397C2318yes—
398#397C2318yescomplemented
399#397C2318yescomplemented
400#397C2318yescomplemented
401#397C2318yescomplemented
402#396C2318yes—
403#396C2318yes—
404#396C2318yes—
405#396C2318yescomplemented
406#394C2318yes—
407#394C2318yes—
408#394C2318yes—
409#394C2318yes—
410#394C2318yes—
411#394C2318yes—
412#394C2318yes—
413#394C2318yes—
414#394C2318yescomplemented
415#394C2318yescomplemented
416#392C2318yes—
417#392C2318yes—
418#392C2318yes—
419#392C2318yescomplemented
420#390C2318yes—
421#390C2318yes—
422#390C2318yes—
423#390C2318yes—
424#390C2318yes—
425#390C2318yescomplemented
426#390C2318yescomplemented
427#389C2318yescomplemented
428#389C2318yescomplemented
429#389C2318yescomplemented
430#389C2318yescomplemented
431#389C2318yescomplemented
432#388C2318yes—
433#388C2318yes—
434#388C2318yes—
435#388C2318yes—
436#388C2318yes—
437#388C2318yes—
438#388C2318yes—
439#388C2318yes—
440#388C2318yes—
441#388C2318yes—
442#388C2318yes—
443#388C2318yes—
444#388C2318yes—
445#388C2318yes—
446#388C2318yes—
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#386C2318yes—
479#386C2318yescomplemented
480#386C2318yescomplemented
481#386C2318yescomplemented
482#385C2318yes—
483#385C2318yes—
484#385C2318yes—
485#385C2318yes—
486#385C2318yes—
487#385C2318yes—
488#385C2318yes—
489#385C2318yes—
490#385C2318yescomplemented
491#385C2318yescomplemented
492#385C2318yescomplemented
493#385C2318yescomplemented
494#382C2318yescomplemented
495#382C2318yescomplemented
496#381C2318yes—
497#381C2318yescomplemented
498#380C2318yes—
499#380C2318yes—
500#380C2318yescomplemented
501C4×C4⋊C4C2318yescomplemented
502C4×C4⋊C4C2318yescomplemented
503C4×C4⋊C4C2318yescomplemented
504C4×C4⋊C4C2318yescomplemented
505C4×C22⋊C4C2318yes—
506C4×C22⋊C4C2318yes—
507C4×C22⋊C4C2318yes—
508C4×C22⋊C4C2318yes—
509C4×C22⋊C4C2318yescomplemented
510C4×C22⋊C4C2318yescomplemented
511C4×C22⋊C4C2318yescomplemented
512#376C2318yescomplemented
513C2×#95C2318yes—
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2318yes—
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2318yescomplemented
556C25—24no—
557C25—24no—
558C25—24no—
559C25—24no—
560C25—42no—
561C25—42no—
562C25—42no—
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C25C2411yescharacteristic
566C25C2411yescharacteristic
567C25C2411yescharacteristic
568C25C2414yes—
569C25C2411yescharacteristic
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
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—24no—
586C22×D4—24no—
587C22×D4—24no—
588C22×D4—24no—
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#4118yes—
606C22×D4C2414yes—
607C22×D4C2414yes—
608C22×D4C2414yes—
609C22×D4C2414yes—
610C22×D4C2414yes—
611C22×D4C2414yes—
612C22×D4C2414yes—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C23×C4—24no—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—24no—
633C23×C4—24no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4—42no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2414yes—
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2414yes—
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2414yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2414yes—
693C23×C4C2414yes—
694C23×C4C2414yes—
695#126—416no—
696#123—416no—
697#121—232no—
698#121—232no—
699#121—232no—
700#121—416no—
701#121—416no—
702#121—416no—
703#120—232no—
704#120—232no—
705#120—416no—
706C4×D4—232no—
707C4×D4—232no—
708C4×D4—232no—
709C4×D4—416no—
710C4×D4—416no—
711C4×D4—416no—
712C4×D4—416no—
713C4×D4—416no—
714C4×D4—416no—
715#117—416no—
716C2×C4⋊C4—24no—
717C2×C4⋊C4—24no—
718C2×C4⋊C4—24no—
719C2×C4⋊C4—24no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—24no—
726C2×C4⋊C4—416no—
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⋊C4C2414yes—
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×C4⋊C4C2414yes—
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—24no—
784C2×C22⋊C4—24no—
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—232no—
796C2×C22⋊C4—416no—
797C2×C22⋊C4—416no—
798C2×C22⋊C4—416no—
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#4118yes—
822C2×C22⋊C4#4118yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×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×C42—24no—
874C2×C42—24no—
875C2×C42—24no—
876C2×C42—24no—
877C2×C42—24no—
878C2×C42—24no—
879C2×C42—416no—
880C2×C42—42no—
881C2×C42—42no—
882C2×C42—42no—
883C2×C42—42no—
884C2×C42—42no—
885C2×C42—42no—
886C2×C42—42no—
887C2×C42C2414yes—
888C2×C42C2414yes—
889C2×C42C2414yes—
890C2×C42C2414yes—
891C2×C42C2414yes—
892C2×C42C2414yes—
893C2×C42C2414yes—
894C2×C42C2414yes—
895C2×C42C2414yes—
896C2×C42C2414yes—
897C2×C42C2414yes—
898C2×C42C2414yes—
899C2×C42C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
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—28no—
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—28no—
979C24—28no—
980C24—28no—
981C24—44no—
982C24—44no—
983C24—44no—
984C24—416no—
985C24—416no—
986C24—416no—
987C24—416no—
988C24—88no—
989C24—88no—
990C24—88no—
991C24C2×#4114yes—
992C24C2×#4114yes—
993C24C2×#4114yes—
994C24C2×#4114yes—
995C24H(5,𝔽2)14yes—
996C24C2512yes—
997C24C2512yes—
998C24C2512yes—
999C24C2512yes—
1000C24C2512yes—
1001C24C2512yes—
1002C24C2511yescharacteristic
1003C2×D4—232no—
1004C2×D4—28no—
1005C2×D4—28no—
1006C2×D4—28no—
1007C2×D4—28no—
1008C2×D4—28no—
1009C2×D4—28no—
1010C2×D4—28no—
1011C2×D4—28no—
1012C2×D4—28no—
1013C2×D4—28no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—28no—
1017C2×D4—28no—
1018C2×D4—28no—
1019C2×D4—28no—
1020C2×D4—28no—
1021C2×D4—28no—
1022C2×D4—28no—
1023C2×D4—44no—
1024C2×D4—44no—
1025C2×D4—44no—
1026C2×D4—44no—
1027C2×D4—416no—
1028C2×D4—416no—
1029C2×D4—416no—
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—416no—
1043C2×D4—416no—
1044C2×D4—416no—
1045C2×D4—88no—
1046C2×D4—88no—
1047C2×D4—88no—
1048C2×D4—88no—
1049C2×D4—88no—
1050C2×D4C2×#41116yes—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—22no—
1059C22×C4—22no—
1060C22×C4—22no—
1061C22×C4—22no—
1062C22×C4—22no—
1063C22×C4—22no—
1064C22×C4—22no—
1065C22×C4—22no—
1066C22×C4—22no—
1067C22×C4—22no—
1068C22×C4—22no—
1069C22×C4—22no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—28no—
1083C22×C4—28no—
1084C22×C4—28no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
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—28no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—28no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—416no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—416no—
1160C22×C4—416no—
1161C22×C4—416no—
1162C22×C4—416no—
1163C22×C4—88no—
1164C22×C4—88no—
1165C22×C4—88no—
1166C22×C4—88no—
1167C22×C4—88no—
1168C22×C4—88no—
1169C22×C4—88no—
1170C22×C4—88no—
1171C22×C4C2×#4114yes—
1172C22×C4C2×#4114yes—
1173C22×C4C2×#4114yes—
1174C22×C4C2×#4114yes—
1175C22×C4C2×#4114yes—
1176C22×C4H(5,𝔽2)14yes—
1177C22×C4H(5,𝔽2)14yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
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—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—44no—
1214C4⋊C4—44no—
1215C4⋊C4—44no—
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—
1229C22⋊C4—28no—
1230C22⋊C4—28no—
1231C22⋊C4—28no—
1232C22⋊C4—28no—
1233C22⋊C4—28no—
1234C22⋊C4—28no—
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—28no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
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⋊C4C2×#41116yes—
1278C22⋊C4C2×#41116yes—
1279C42—28no—
1280C42—28no—
1281C42—28no—
1282C42—28no—
1283C42—28no—
1284C42—28no—
1285C42—44no—
1286C42—44no—
1287C42—44no—
1288C42—44no—
1289C42—44no—
1290C42—44no—
1291C42—44no—
1292C23—22no—
1293C23—22no—
1294C23—22no—
1295C23—22no—
1296C23—28no—
1297C23—28no—
1298C23—28no—
1299C23—28no—
1300C23—28no—
1301C23—28no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—28no—
1315C23—28no—
1316C23—28no—
1317C23—28no—
1318C23—28no—
1319C23—28no—
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—416no—
1342C23—416no—
1343C23—416no—
1344C23—44no—
1345C23—44no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—416no—
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—88no—
1375C23—88no—
1376C23—88no—
1377C23—864no—
1378C23#553116yes—
1379C23C22×#4114yes—
1380C23C22×#4114yes—
1381C23C22×#4114yes—
1382C23C22×#4114yes—
1383C23C22×#4112yes—
1384C23C22×#4112yes—
1385C23C22×#4112yes—
1386C23C2×H(5,𝔽2)14yes—
1387C23C2×H(5,𝔽2)12yes—
1388C23C2×H(5,𝔽2)12yes—
1389C23C2×H(5,𝔽2)12yes—
1390C23#58512yes—
1391C23C2611yescharacteristic
1392D4—232no—
1393D4—416no—
1394D4—416no—
1395D4—416no—
1396D4—416no—
1397D4—416no—
1398D4—416no—
1399D4—88no—
1400D4—88no—
1401D4—88no—
1402D4—88no—
1403D4—88no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—28no—
1419C2×C4—28no—
1420C2×C4—28no—
1421C2×C4—28no—
1422C2×C4—28no—
1423C2×C4—28no—
1424C2×C4—28no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
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—416no—
1480C2×C4—416no—
1481C2×C4—416no—
1482C2×C4—416no—
1483C2×C4—416no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—88no—
1503C2×C4—88no—
1504C2×C4—88no—
1505C2×C4—88no—
1506C2×C4—88no—
1507C2×C4—88no—
1508C2×C4—88no—
1509C2×C4—88no—
1510C2×C4C22×#4114yes—
1511C2×C4C22×#4114yes—
1512C2×C4C22×#4114yes—
1513C2×C4C22×#4114yes—
1514C2×C4C22×#4114yes—
1515C2×C4C2×H(5,𝔽2)14yes—
1516C2×C4C2×H(5,𝔽2)14yes—
1517C22—24no—
1518C22—232no—
1519C22—24no—
1520C22—24no—
1521C22—24no—
1522C22—24no—
1523C22—24no—
1524C22—24no—
1525C22—24no—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—24no—
1530C22—42no—
1531C22—42no—
1532C22—416no—
1533C22—416no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
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—832no—
1562C22—88no—
1563C22—88no—
1564C22—88no—
1565C22C2×#55318yes—
1566C22C2×#55314yes—
1567C22#347514yes—
1568C22#348114yes—
1569C22#351314yes—
1570C22#351914yes—
1571C22#351914yes—
1572C22#355814yes—
1573C22C23×#4111yescharacteristic
1574C22C23×#4111yescharacteristic
1575C22C23×#4111yescharacteristic
1576C22C22×H(5,𝔽2)11yescharacteristic
1577C22C22×H(5,𝔽2)11yescharacteristic
1578C22C22×H(5,𝔽2)11yescharacteristic
1579C22C2×#58511yescharacteristic
1580C4—24no—
1581C4—24no—
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—24no—
1586C4—24no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C2—28no—
1606C2—44no—
1607C2—44no—
1608C2—82no—
1609C2—82no—
1610C2—82no—
1611C2#5968918yesdirect product factor
1612C2C22×#55311yescharacteristic
1613C2C2×#347511yescharacteristic
1614C2C2×#348111yescharacteristic
1615C2C2×#355811yescharacteristic
1616C2C2×#351311yescharacteristic
1617C2C2×#351911yescharacteristic
1618C2C2×#351911yescharacteristic
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. #59689C2direct (N × H)
2. C2×#2800C2semidirect
3. C2×#2753C2semidirect
4. C2×#2753C2semidirect
5. C2×#2750C2semidirect
6. C2×#2603C2semidirect
7. C2×#2595C2semidirect
8. C2×#2593C2semidirect
9. C2×#2587C2semidirect
10. C2×#2559C2semidirect
11. C2×#2543C2semidirect
12. C2×#2529C2semidirect
13. C2×#2505C2semidirect
14. C2×#2470C2semidirect
15. C2×#2414C2semidirect
16. C2×#2444C2semidirect
17. C2×#2444C2semidirect
18. C2×#2481C2semidirect
19. C2×#2412C2semidirect
20. C2×#2456C2semidirect
21. C2×#2424C2semidirect
22. C2×#2424C2semidirect
23. C2×#2424C2semidirect
24. C2×#2364C2semidirect
25. C2×#2361C2semidirect
26. C2×#2358C2semidirect
27. C2×#2358C2semidirect
28. C2×#2357C2semidirect
29. C2×#2349C2semidirect
30. C2×C4×#121C2semidirect
31. C2×#2290C2semidirect
32. C22×#388C2semidirect
33. C22×#126C22semidirect
51. C22×C4×D4C22semidirect
52. C22×C4×D4C22semidirect
53. C22×#117C22semidirect
60. #2800C22semidirect
61. #2753C22semidirect
62. #2753C22semidirect
63. #2750C22semidirect
64. #2603C22semidirect
65. #2595C22semidirect
66. #2593C22semidirect
67. #2587C22semidirect
68. #2559C22semidirect
69. #2543C22semidirect
70. #2529C22semidirect
71. #2505C22semidirect
72. #2481C22semidirect
73. #2470C22semidirect
74. #2456C22semidirect
75. #2444C22semidirect
76. #2444C22semidirect
77. #2424C22semidirect
78. #2424C22semidirect
79. #2424C22semidirect
80. #2414C22semidirect
81. #2412C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#398C22semidirect
89. C2×#398C22semidirect
92. C2×#397C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
95. C2×#397C22semidirect
99. C2×#396C22semidirect
108. C2×#394C22semidirect
109. C2×#394C22semidirect
113. C2×#392C22semidirect
114. #2364C22semidirect
115. #2361C22semidirect
116. #2358C22semidirect
117. #2358C22semidirect
118. #2357C22semidirect
119. #2349C22semidirect
120. C4×#121C22semidirect
126. C2×#390C22semidirect
127. C2×#390C22semidirect
128. C2×#389C22semidirect
129. C2×#389C22semidirect
130. C2×#389C22semidirect
131. C2×#389C22semidirect
132. C2×#389C22semidirect
133. #2290C22semidirect
149. C2×#388C22semidirect
150. C2×#388C22semidirect
151. C2×#388C22semidirect
152. C2×#388C22semidirect
153. C2×#388C22semidirect
154. C2×#388C22semidirect
155. C2×#388C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
164. C2×#387C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
193. C2×#385C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#382C22semidirect
198. C2×#382C22semidirect
200. C2×#381C22semidirect
203. C2×#380C22semidirect
204. C2×C4×C4⋊C4C22semidirect
205. C2×C4×C4⋊C4C22semidirect
206. C2×C4×C4⋊C4C22semidirect
207. C2×C4×C4⋊C4C22semidirect
212. C2×C4×C22⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×#376C22semidirect
218. C22×#95C22semidirect
246. C2×#126C23semidirect
283. C2×C4×D4C23semidirect
284. C2×C4×D4C23semidirect
286. C2×#117C23semidirect
388. #400C23semidirect
389. #400C23semidirect
390. #400C23semidirect
391. #400C23semidirect
392. #400C23semidirect
393. #400C23semidirect
394. #398C23semidirect
395. #398C23semidirect
398. #397C23semidirect
399. #397C23semidirect
400. #397C23semidirect
401. #397C23semidirect
405. #396C23semidirect
414. #394C23semidirect
415. #394C23semidirect
419. #392C23semidirect
425. #390C23semidirect
426. #390C23semidirect
427. #389C23semidirect
428. #389C23semidirect
429. #389C23semidirect
430. #389C23semidirect
431. #389C23semidirect
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
479. #386C23semidirect
480. #386C23semidirect
481. #386C23semidirect
490. #385C23semidirect
491. #385C23semidirect
492. #385C23semidirect
493. #385C23semidirect
494. #382C23semidirect
495. #382C23semidirect
497. #381C23semidirect
500. #380C23semidirect
501. C4×C4⋊C4C23semidirect
502. C4×C4⋊C4C23semidirect
503. C4×C4⋊C4C23semidirect
504. C4×C4⋊C4C23semidirect
509. C4×C22⋊C4C23semidirect
510. C4×C22⋊C4C23semidirect
511. C4×C22⋊C4C23semidirect
512. #376C23semidirect
555. C2×#95C23semidirect
1611. C2#59689direct (N × H)

Maximal subgroups

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

subgroupindex
#596892
C2×#28002
C2×#27532
C2×#27502
C2×#26032
C2×#25952
C2×#25932
C2×#25872
C2×#25592
C2×#25432
C2×#25292
C2×#25052
C2×#24702
C2×#24142
C2×#24442
C2×#24812
C2×#24122
C2×#24562
C2×#24242
C2×#23642
C2×#23612
C2×#23582
C2×#23572
C2×#23492
C2×C4×#1212
C2×#22902
C22×#3882