Finite Group Databasebeta

← C2×#38064 #7635368

Subgroups — C2×#38064 #7635368

Order 512.

7100 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2745C211yesmaximal, characteristic, complemented
2C2×#2744C211yesmaximal, characteristic, complemented
3C2×#2739C211yesmaximal, characteristic, complemented
4C2×#2738C211yesmaximal, characteristic, complemented
5C2×#2707C211yesmaximal, characteristic, complemented
6C2×#2695C211yesmaximal, characteristic, complemented
7C2×#2694C211yesmaximal, characteristic, complemented
8C2×#2687C211yesmaximal, characteristic, complemented
9#38064C2132yesmaximal, direct product factor
10C2×#2849C211yesmaximal, characteristic
11C2×#2498C211yesmaximal, characteristic, complemented
12C2×#2493C211yesmaximal, characteristic, complemented
13C2×#2438C211yesmaximal, characteristic, complemented
14C2×#2442C211yesmaximal, characteristic, complemented
15C2×#2417C211yesmaximal, characteristic, complemented
16C2×#2419C211yesmaximal, characteristic, complemented
17C2×#2481C211yesmaximal, characteristic, complemented
18C2×#2481C211yesmaximal, characteristic, complemented
19C2×#2473C211yesmaximal, characteristic, complemented
20C2×#2473C211yesmaximal, characteristic, complemented
21C2×#2473C211yesmaximal, characteristic, complemented
22C2×#2412C211yesmaximal, characteristic
23C2×#2449C211yesmaximal, characteristic, complemented
24C2×#2437C211yesmaximal, characteristic, complemented
25C2×#2643C211yesmaximal, characteristic, complemented
26C2×#2646C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2329C211yesmaximal, characteristic, complemented
30C2×#2318C211yesmaximal, characteristic, complemented
31C22×#385C211yesmaximal, characteristic, complemented
32C22×#380C211yesmaximal, characteristic, complemented
33C25×C4C2211yescharacteristic
34C22×#126C2211yescharacteristic, complemented
35C22×#125C2211yescharacteristic, complemented
36C22×#125C2211yescharacteristic, complemented
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic
39C22×#123C2211yescharacteristic
40C22×C22⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×#120C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×#117C2211yescharacteristic
47C23×C4⋊C4C2211yescharacteristic
48C23×C4⋊C4C2211yescharacteristic
49C23×C4⋊C4C2211yescharacteristic
50C23×C4⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55#2849C22116yes—
56#2745C22116yescomplemented
57#2744C22116yescomplemented
58#2739C22116yescomplemented
59#2738C22116yescomplemented
60#2707C22116yescomplemented
61#2695C22116yescomplemented
62#2694C22116yescomplemented
63#2687C22116yescomplemented
64#2646C22116yescomplemented
65#2643C22116yescomplemented
66#2498C22116yescomplemented
67#2493C22116yescomplemented
68#2481C22116yescomplemented
69#2481C22116yescomplemented
70#2473C22116yescomplemented
71#2473C22116yescomplemented
72#2473C22116yescomplemented
73#2449C22116yescomplemented
74#2442C22116yescomplemented
75#2438C22116yescomplemented
76#2437C22116yescomplemented
77#2419C22116yescomplemented
78#2417C22116yescomplemented
79#2412C22116yes—
80C2×#401C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#400C2211yescharacteristic, complemented
89C2×#400C2211yescharacteristic, complemented
90C2×#400C2211yescharacteristic, complemented
91C2×#400C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic
93C2×#399C2211yescharacteristic, complemented
94C2×#398C2211yescharacteristic, complemented
95C2×#398C2211yescharacteristic, complemented
96C2×#398C2211yescharacteristic, complemented
97C2×#398C2211yescharacteristic, complemented
98C2×#398C2211yescharacteristic, complemented
99C2×#398C2211yescharacteristic, complemented
100C2×#398C2211yescharacteristic, complemented
101C2×#398C2211yescharacteristic, complemented
102C2×#398C2211yescharacteristic, complemented
103C2×#398C2211yescharacteristic, complemented
104C2×#398C2211yescharacteristic, complemented
105C2×#397C2211yescharacteristic
106C2×#397C2211yescharacteristic
107C2×#397C2211yescharacteristic, complemented
108C2×#397C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic
112C2×#396C2211yescharacteristic
113C2×#396C2211yescharacteristic, complemented
114C2×#396C2211yescharacteristic, complemented
115C2×#396C2211yescharacteristic, complemented
116C2×#395C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#393C2211yescharacteristic
120#2358C22116yes—
121#2342C22116yescomplemented
122#2329C22116yescomplemented
123#2318C22116yescomplemented
124C2×#391C2211yescharacteristic, complemented
125C2×#391C2211yescharacteristic, complemented
126C2×#390C2211yescharacteristic
127C2×#389C2211yescharacteristic, complemented
128C2×#389C2211yescharacteristic, complemented
129C2×#389C2211yescharacteristic, complemented
130C2×#389C2211yescharacteristic, complemented
131C2×#389C2211yescharacteristic, complemented
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic, complemented
139C2×#388C2211yescharacteristic, complemented
140C2×#388C2211yescharacteristic, complemented
141C2×#387C2211yescharacteristic, complemented
142C2×#387C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#387C2211yescharacteristic, complemented
147C2×#387C2211yescharacteristic, complemented
148C2×#387C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#385C2211yescharacteristic
165C2×#385C2211yescharacteristic
166C2×#385C2211yescharacteristic
167C2×#385C2211yescharacteristic
168C2×#385C2211yescharacteristic
169C2×#385C2211yescharacteristic
170C2×#385C2211yescharacteristic
171C2×#385C2211yescharacteristic
172C2×#385C2211yescharacteristic
173C2×#385C2211yescharacteristic
174C2×#385C2211yescharacteristic
175C2×#385C2211yescharacteristic
176C2×#385C2211yescharacteristic
177C2×#385C2211yescharacteristic
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C22116yescomplemented
186C2×#385C2211yescharacteristic, complemented
187C2×#383C2211yescharacteristic, complemented
188C2×#382C2211yescharacteristic, complemented
189C2×#381C2211yescharacteristic
190C2×#381C2211yescharacteristic
191C2×#381C2211yescharacteristic
192C2×#381C2211yescharacteristic
193C2×#381C2211yescharacteristic, complemented
194C2×#380C2211yescharacteristic
195C2×#380C2211yescharacteristic
196C2×#380C2211yescharacteristic
197C2×#380C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic
207C2×#380C22116yescomplemented
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C22×#95C2211yescharacteristic
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C26C2311yescharacteristic
220C23×Q8C2311yescharacteristic
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C23×D4C2311yescharacteristic
224C24×C4—28no—
225C24×C4—44no—
226C24×C4—44no—
227C24×C4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2311yescharacteristic
230C24×C4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2318yes—
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C2×#126—44no—
244C2×#126C2318yescomplemented
245C2×#125—44no—
246C2×#125—44no—
247C2×#125C2318yescomplemented
248C2×#125C2318yescomplemented
249C2×#123—44no—
250C2×#123—44no—
251C2×#123—44no—
252C2×#123C2318yes—
253C2×#123C2318yes—
254C2×#123C2318yes—
255C2×C22⋊Q8—28no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8C2318yes—
259C2×C22⋊Q8C2318yes—
260C2×C22⋊Q8C2318yescomplemented
261C2×#120—28no—
262C2×#120C2318yes—
263C2×C4×D4—28no—
264C2×C4×D4—44no—
265C2×C4×D4C2318yes—
266C2×C4×D4C2318yes—
267C2×#117—44no—
268C2×#117C2318yes—
269C22×C4⋊C4—44no—
270C22×C4⋊C4—44no—
271C22×C4⋊C4—44no—
272C22×C4⋊C4—44no—
273C22×C4⋊C4C2311yescharacteristic
274C22×C4⋊C4C2311yescharacteristic
275C22×C4⋊C4C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278C22×C4⋊C4C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C4⋊C4C2311yescharacteristic
285C22×C4⋊C4C2311yescharacteristic
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C4⋊C4C2311yescharacteristic
289C22×C4⋊C4C2311yescharacteristic
290C22×C4⋊C4C2311yescharacteristic
291C22×C4⋊C4C2311yescharacteristic
292C22×C4⋊C4C2311yescharacteristic
293C22×C4⋊C4C2311yescharacteristic
294C22×C4⋊C4C2311yescharacteristic
295C22×C4⋊C4C2311yescharacteristic
296C22×C4⋊C4C2311yescharacteristic
297C22×C4⋊C4C2311yescharacteristic
298C22×C4⋊C4C2311yescharacteristic
299C22×C4⋊C4C2311yescharacteristic
300C22×C4⋊C4C2311yescharacteristic
301C22×C4⋊C4C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C4⋊C4C2311yescharacteristic
310C22×C4⋊C4C2311yescharacteristic
311C22×C4⋊C4C2318yes—
312C22×C4⋊C4C2318yes—
313C22×C4⋊C4C2318yes—
314C22×C4⋊C4C2318yes—
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C22⋊C4—28no—
318C22×C22⋊C4—28no—
319C22×C22⋊C4—44no—
320C22×C22⋊C4—44no—
321C22×C22⋊C4C2318yes—
322C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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⋊C4C2318yes—
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368#401C2318yescomplemented
369#400C2318yescomplemented
370#400C2318yescomplemented
371#400C2318yescomplemented
372#400C2318yescomplemented
373#400C2318yescomplemented
374#400C2318yescomplemented
375#400C2318yescomplemented
376#400C2318yescomplemented
377#400C2318yescomplemented
378#400C2318yescomplemented
379#400C2318yescomplemented
380#399C2318yes—
381#399C2318yescomplemented
382#398C2318yescomplemented
383#398C2318yescomplemented
384#398C2318yescomplemented
385#398C2318yescomplemented
386#398C2318yescomplemented
387#398C2318yescomplemented
388#398C2318yescomplemented
389#398C2318yescomplemented
390#398C2318yescomplemented
391#398C2318yescomplemented
392#398C2318yescomplemented
393#397C2318yes—
394#397C2318yes—
395#397C2318yescomplemented
396#397C2318yescomplemented
397#397C2318yescomplemented
398#397C2318yescomplemented
399#396C2318yes—
400#396C2318yes—
401#396C2318yescomplemented
402#396C2318yescomplemented
403#396C2318yescomplemented
404#395C2318yescomplemented
405#394C2318yes—
406#394C2318yes—
407#393C2318yes—
408#391C2318yescomplemented
409#391C2318yescomplemented
410#390C2318yes—
411#389C2318yescomplemented
412#389C2318yescomplemented
413#389C2318yescomplemented
414#389C2318yescomplemented
415#389C2318yescomplemented
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
421#388C2318yes—
422#388C2318yescomplemented
423#388C2318yescomplemented
424#388C2318yescomplemented
425#387C2318yescomplemented
426#387C2318yescomplemented
427#387C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#386C2318yes—
439#386C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#385C2318yes—
449#385C2318yes—
450#385C2318yes—
451#385C2318yes—
452#385C2318yes—
453#385C2318yes—
454#385C2318yes—
455#385C2318yes—
456#385C2318yes—
457#385C2318yes—
458#385C2318yes—
459#385C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yescomplemented
470#383C2318yescomplemented
471#382C2318yescomplemented
472#381C2318yes—
473#381C2318yes—
474#381C2318yes—
475#381C2318yes—
476#381C2318yescomplemented
477#380C2318yes—
478#380C2318yes—
479#380C2318yes—
480#380C2318yes—
481#380C2318yes—
482#380C2318yes—
483#380C2318yes—
484#380C2318yes—
485#380C2318yes—
486#380C2318yes—
487#380C2318yes—
488#380C2318yes—
489#380C2318yes—
490#380C2318yescomplemented
491#379C2318yes—
492C4×C22⋊C4C2318yes—
493C4×C22⋊C4C2318yes—
494C4×C22⋊C4C2318yes—
495C4×C22⋊C4C2318yes—
496C4×C22⋊C4C2318yes—
497C2×#95C2318yes—
498C2×#95C2318yes—
499C2×#95C2311yescharacteristic
500C2×#95C2311yescharacteristic
501C2×#95C2311yescharacteristic
502C2×#95C2311yescharacteristic
503C2×#95C2311yescharacteristic
504C2×#95C2311yescharacteristic
505C2×#95C2311yescharacteristic
506C2×#95C2311yescharacteristic
507C2×#95C2311yescharacteristic
508C2×#95C2311yescharacteristic
509C2×#95C2311yescharacteristic
510C2×#95C2311yescharacteristic
511C2×#95C2311yescharacteristic
512C2×#95C2311yescharacteristic
513C2×#95C2311yescharacteristic
514C2×#95C2311yescharacteristic
515C2×#95C2311yescharacteristic
516C2×#95C2311yescharacteristic
517C2×#95C2311yescharacteristic
518C2×#95C2311yescharacteristic
519C2×#95C2311yescharacteristic
520C2×#95C2311yescharacteristic
521C2×#95C2311yescharacteristic
522C2×#95C2311yescharacteristic
523C2×#95C2311yescharacteristic
524C2×#95C2311yescharacteristic
525C2×#95C2311yescharacteristic
526C2×#95C2311yescharacteristic
527C2×#95C2311yescharacteristic
528C2×#95C2311yescharacteristic
529C2×#95C2311yescharacteristic
530C2×#95C2311yescharacteristic
531C2×#95C2311yescharacteristic
532C2×#95C2311yescharacteristic
533C2×#95C2311yescharacteristic
534C2×#95C2311yescharacteristic
535C2×#95C2311yescharacteristic
536C2×#95C2311yescharacteristic
537C2×#95C2311yescharacteristic
538C2×#95C2311yescharacteristic
539C2×#95C2311yescharacteristic
540C2×#95C2311yescharacteristic
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2318yes—
550C2×#95C2318yes—
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C25—24no—
554C25—24no—
555C25—24no—
556C25—24no—
557C25—42no—
558C25—42no—
559C25#4118yes—
560C25C2411yescharacteristic
561C25C2411yescharacteristic
562C25C2414yes—
563C25C2411yescharacteristic
564C25C2411yescharacteristic
565C22×Q8—24no—
566C22×Q8—42no—
567C22×Q8—42no—
568C22×Q8C2414yes—
569C22×D4—24no—
570C22×D4—24no—
571C22×D4—24no—
572C22×D4—24no—
573C22×D4—24no—
574C22×D4—24no—
575C22×D4—24no—
576C22×D4—42no—
577C22×D4—42no—
578C22×D4C2414yes—
579C22×D4C2414yes—
580C22×D4C2414yes—
581C23×C4—24no—
582C23×C4—24no—
583C23×C4—24no—
584C23×C4—24no—
585C23×C4—24no—
586C23×C4—24no—
587C23×C4—24no—
588C23×C4—24no—
589C23×C4—232no—
590C23×C4—24no—
591C23×C4—24no—
592C23×C4—24no—
593C23×C4—24no—
594C23×C4—24no—
595C23×C4—24no—
596C23×C4—24no—
597C23×C4—24no—
598C23×C4—24no—
599C23×C4—24no—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—416no—
608C23×C4—416no—
609C23×C4—42no—
610C23×C4—42no—
611C23×C4—42no—
612C23×C4—42no—
613C23×C4—42no—
614C23×C4—42no—
615C23×C4—42no—
616C23×C4—42no—
617C23×C4—42no—
618C23×C4—42no—
619C23×C4—42no—
620C23×C4—42no—
621C23×C4—42no—
622C23×C4—42no—
623C23×C4—42no—
624C23×C4—42no—
625C23×C4—42no—
626C23×C4—42no—
627C23×C4—42no—
628C23×C4—42no—
629C23×C4—464no—
630C23×C4C2414yes—
631C23×C4C2414yes—
632C23×C4C2411yescharacteristic
633C23×C4C2411yescharacteristic
634C23×C4C2411yescharacteristic
635C23×C4C2411yescharacteristic
636C23×C4C2411yescharacteristic
637C23×C4C2411yescharacteristic
638C23×C4C2411yescharacteristic
639C23×C4C2411yescharacteristic
640C23×C4C2411yescharacteristic
641C23×C4C2411yescharacteristic
642C23×C4C2411yescharacteristic
643C23×C4C2411yescharacteristic
644C23×C4C2411yescharacteristic
645C23×C4C2411yescharacteristic
646C23×C4C2411yescharacteristic
647C23×C4C2411yescharacteristic
648C23×C4C2411yescharacteristic
649C23×C4C2411yescharacteristic
650C23×C4C2411yescharacteristic
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2414yes—
656C23×C4C2414yes—
657C23×C4C2414yes—
658C23×C4C2414yes—
659C23×C4C2414yes—
660C23×C4C2414yes—
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2414yes—
666C23×C4C2414yes—
667C23×C4C2414yes—
668C23×C4C2414yes—
669C23×C4C2414yes—
670C23×C4C2414yes—
671C23×C4C2414yes—
672#126—416no—
673#125—416no—
674#125—416no—
675#123—416no—
676#123—416no—
677#123—416no—
678C22⋊Q8—232no—
679C22⋊Q8—416no—
680C22⋊Q8—416no—
681#120—232no—
682C4×D4—232no—
683C4×D4—416no—
684#117—416no—
685C2×C4⋊C4—24no—
686C2×C4⋊C4—24no—
687C2×C4⋊C4—24no—
688C2×C4⋊C4—24no—
689C2×C4⋊C4—24no—
690C2×C4⋊C4—24no—
691C2×C4⋊C4—24no—
692C2×C4⋊C4—24no—
693C2×C4⋊C4—24no—
694C2×C4⋊C4—24no—
695C2×C4⋊C4—24no—
696C2×C4⋊C4—24no—
697C2×C4⋊C4—24no—
698C2×C4⋊C4—24no—
699C2×C4⋊C4—416no—
700C2×C4⋊C4—416no—
701C2×C4⋊C4—416no—
702C2×C4⋊C4—416no—
703C2×C4⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
707C2×C4⋊C4—42no—
708C2×C4⋊C4—42no—
709C2×C4⋊C4—42no—
710C2×C4⋊C4—42no—
711C2×C4⋊C4—42no—
712C2×C4⋊C4—42no—
713C2×C4⋊C4—42no—
714C2×C4⋊C4—42no—
715C2×C4⋊C4—42no—
716C2×C4⋊C4—42no—
717C2×C4⋊C4—42no—
718C2×C4⋊C4—42no—
719C2×C4⋊C4—42no—
720C2×C4⋊C4—42no—
721C2×C4⋊C4—42no—
722C2×C4⋊C4—42no—
723C2×C4⋊C4—42no—
724C2×C4⋊C4—42no—
725C2×C4⋊C4—42no—
726C2×C4⋊C4—42no—
727C2×C4⋊C4—42no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4C2414yes—
730C2×C4⋊C4C2414yes—
731C2×C4⋊C4C2414yes—
732C2×C4⋊C4C2414yes—
733C2×C4⋊C4C2414yes—
734C2×C4⋊C4C2414yes—
735C2×C4⋊C4C2414yes—
736C2×C4⋊C4C2414yes—
737C2×C4⋊C4C2414yes—
738C2×C4⋊C4C2414yes—
739C2×C4⋊C4C2414yes—
740C2×C4⋊C4C2414yes—
741C2×C4⋊C4C2414yes—
742C2×C4⋊C4C2414yes—
743C2×C4⋊C4C2414yes—
744C2×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—232no—
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—232no—
792C2×C22⋊C4—416no—
793C2×C22⋊C4—416no—
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#4118yes—
809C2×C22⋊C4C2414yes—
810C2×C22⋊C4C2414yes—
811C2×C22⋊C4C2414yes—
812C2×C22⋊C4C2414yes—
813C2×C22⋊C4C2414yes—
814C2×C22⋊C4C2414yes—
815C2×C22⋊C4C2414yes—
816C2×C22⋊C4C2414yes—
817C2×C22⋊C4C2414yes—
818C2×C22⋊C4C2414yes—
819C2×C22⋊C4C2414yes—
820C2×C22⋊C4C2414yes—
821C2×C22⋊C4C2414yes—
822C2×C22⋊C4C2414yes—
823C2×C22⋊C4C2414yes—
824C2×C22⋊C4C2414yes—
825C2×C22⋊C4C2414yes—
826C2×C22⋊C4C2414yes—
827C2×C22⋊C4C2414yes—
828C2×C22⋊C4C2414yes—
829C2×C22⋊C4C2414yes—
830C2×C22⋊C4C2414yes—
831C2×C22⋊C4C2414yes—
832C2×C22⋊C4C2414yes—
833C2×C22⋊C4C2414yes—
834C2×C22⋊C4C2414yes—
835C2×C22⋊C4C2414yes—
836C2×C22⋊C4C2414yes—
837C2×C22⋊C4C2414yes—
838C2×C22⋊C4C2414yes—
839C2×C22⋊C4C2414yes—
840C2×C22⋊C4C2414yes—
841C2×C22⋊C4C2414yes—
842C2×C22⋊C4C2414yes—
843C2×C22⋊C4C2414yes—
844C2×C22⋊C4C2414yes—
845C2×C42—24no—
846C2×C42—42no—
847C2×C42—42no—
848C2×C42—42no—
849C2×C42—42no—
850C2×C42—42no—
851C2×C42—42no—
852C2×C42C2414yes—
853C2×C42C2414yes—
854C2×C42C2414yes—
855C2×C42C2414yes—
856C2×C42C2414yes—
857C2×C42C2414yes—
858C2×C42C2414yes—
859#95C2414yes—
860#95C2414yes—
861#95C2414yes—
862#95C2414yes—
863#95C2414yes—
864#95C2414yes—
865#95C2414yes—
866#95C2414yes—
867#95C2414yes—
868#95C2414yes—
869#95C2414yes—
870#95C2414yes—
871#95C2414yes—
872#95C2414yes—
873#95C2414yes—
874#95C2414yes—
875#95C2414yes—
876#95C2414yes—
877#95C2414yes—
878#95C2414yes—
879#95C2414yes—
880#95C2414yes—
881#95C2414yes—
882#95C2414yes—
883#95C2414yes—
884#95C2414yes—
885#95C2414yes—
886#95C2414yes—
887#95C2414yes—
888#95C2414yes—
889#95C2414yes—
890#95C2414yes—
891#95C2414yes—
892#95C2414yes—
893#95C2414yes—
894#95C2414yes—
895#95C2414yes—
896#95C2414yes—
897#95C2414yes—
898#95C2414yes—
899#95C2414yes—
900#95C2414yes—
901#95C2414yes—
902#95C2414yes—
903#95C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—232no—
920C24—232no—
921C24—28no—
922C24—22no—
923C24—28no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—28no—
928C24—28no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—22no—
933C24—22no—
934C24—22no—
935C24—22no—
936C24—22no—
937C24—22no—
938C24—416no—
939C24—44no—
940C24—44no—
941C24—416no—
942C24—416no—
943C24—416no—
944C24—416no—
945C24C2×#4114yes—
946C24C2×#41116yes—
947C24C2×#4114yes—
948C24C2×#4114yes—
949C24C2×#4114yes—
950C24H(5,𝔽2)14yes—
951C242−1+414yes—
952C242−1+414yes—
953C24C2512yes—
954C24C2512yes—
955C24C2512yes—
956C24C2512yes—
957C24C2511yescharacteristic
958C2×Q8—28no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—88no—
962C2×D4—28no—
963C2×D4—28no—
964C2×D4—28no—
965C2×D4—28no—
966C2×D4—28no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—44no—
970C2×D4—44no—
971C2×D4—416no—
972C2×D4—416no—
973C2×D4—88no—
974C22×C4—232no—
975C22×C4—28no—
976C22×C4—22no—
977C22×C4—22no—
978C22×C4—22no—
979C22×C4—22no—
980C22×C4—22no—
981C22×C4—22no—
982C22×C4—22no—
983C22×C4—22no—
984C22×C4—28no—
985C22×C4—28no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—28no—
989C22×C4—22no—
990C22×C4—22no—
991C22×C4—22no—
992C22×C4—22no—
993C22×C4—22no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—22no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—28no—
1004C22×C4—28no—
1005C22×C4—28no—
1006C22×C4—28no—
1007C22×C4—28no—
1008C22×C4—22no—
1009C22×C4—22no—
1010C22×C4—22no—
1011C22×C4—22no—
1012C22×C4—22no—
1013C22×C4—22no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—22no—
1018C22×C4—22no—
1019C22×C4—22no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—22no—
1026C22×C4—22no—
1027C22×C4—22no—
1028C22×C4—22no—
1029C22×C4—22no—
1030C22×C4—22no—
1031C22×C4—22no—
1032C22×C4—22no—
1033C22×C4—22no—
1034C22×C4—22no—
1035C22×C4—22no—
1036C22×C4—22no—
1037C22×C4—22no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—22no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—22no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—28no—
1049C22×C4—28no—
1050C22×C4—22no—
1051C22×C4—22no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—28no—
1055C22×C4—28no—
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—28no—
1066C22×C4—28no—
1067C22×C4—28no—
1068C22×C4—28no—
1069C22×C4—28no—
1070C22×C4—28no—
1071C22×C4—28no—
1072C22×C4—28no—
1073C22×C4—28no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—28no—
1077C22×C4—44no—
1078C22×C4—44no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—44no—
1084C22×C4—44no—
1085C22×C4—44no—
1086C22×C4—44no—
1087C22×C4—44no—
1088C22×C4—44no—
1089C22×C4—44no—
1090C22×C4—44no—
1091C22×C4—44no—
1092C22×C4—44no—
1093C22×C4—44no—
1094C22×C4—44no—
1095C22×C4—44no—
1096C22×C4—44no—
1097C22×C4—416no—
1098C22×C4—416no—
1099C22×C4—416no—
1100C22×C4—416no—
1101C22×C4—416no—
1102C22×C4—416no—
1103C22×C4—4128no—
1104C22×C4—416no—
1105C22×C4—416no—
1106C22×C4—88no—
1107C22×C4—88no—
1108C22×C4—88no—
1109C22×C4—88no—
1110C22×C4—88no—
1111C22×C4—88no—
1112C22×C4C2×#4114yes—
1113C22×C4C2×#4114yes—
1114C22×C4H(5,𝔽2)14yes—
1115C22×C4H(5,𝔽2)14yes—
1116C22×C4C2512yes—
1117C22×C4C2512yes—
1118C22×C4C2512yes—
1119C22×C4C2512yes—
1120C22×C4C2512yes—
1121C22×C4C2512yes—
1122C22×C4C2512yes—
1123C22×C4C2512yes—
1124C22×C4C2512yes—
1125C22×C4C2512yes—
1126C22×C4C2512yes—
1127C22×C4C2512yes—
1128C22×C4C2512yes—
1129C22×C4C2512yes—
1130C22×C4C2512yes—
1131C22×C4C2512yes—
1132C22×C4C2512yes—
1133C22×C4C2512yes—
1134C22×C4C2512yes—
1135C22×C4C2512yes—
1136C22×C4C2512yes—
1137C22×C4C2512yes—
1138C22×C4C2512yes—
1139C22×C4C2512yes—
1140C22×C4C2512yes—
1141C22×C4C2512yes—
1142C22×C4C2512yes—
1143C4⋊C4—28no—
1144C4⋊C4—28no—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
1148C4⋊C4—28no—
1149C4⋊C4—28no—
1150C4⋊C4—28no—
1151C4⋊C4—28no—
1152C4⋊C4—28no—
1153C4⋊C4—28no—
1154C4⋊C4—28no—
1155C4⋊C4—28no—
1156C4⋊C4—28no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
1168C4⋊C4—44no—
1169C4⋊C4—44no—
1170C4⋊C4—44no—
1171C4⋊C4—44no—
1172C4⋊C4—44no—
1173C4⋊C4—44no—
1174C4⋊C4—44no—
1175C4⋊C4—44no—
1176C4⋊C4—44no—
1177C4⋊C4—44no—
1178C4⋊C4—44no—
1179C4⋊C4—44no—
1180C4⋊C4—44no—
1181C4⋊C4—44no—
1182C4⋊C4—44no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
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—28no—
1195C22⋊C4—28no—
1196C22⋊C4—28no—
1197C22⋊C4—28no—
1198C22⋊C4—28no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—28no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4—44no—
1214C22⋊C4—44no—
1215C22⋊C4—44no—
1216C22⋊C4—44no—
1217C22⋊C4—44no—
1218C22⋊C4C2×#41116yes—
1219C42—28no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C42—44no—
1225C42—44no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—28no—
1235C23—28no—
1236C23—28no—
1237C23—28no—
1238C23—28no—
1239C23—28no—
1240C23—28no—
1241C23—28no—
1242C23—28no—
1243C23—28no—
1244C23—28no—
1245C23—28no—
1246C23—22no—
1247C23—22no—
1248C23—22no—
1249C23—22no—
1250C23—22no—
1251C23—22no—
1252C23—232no—
1253C23—28no—
1254C23—232no—
1255C23—28no—
1256C23—28no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—416no—
1265C23—416no—
1266C23—416no—
1267C23—416no—
1268C23—416no—
1269C23—4128no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23#539116yes—
1282C23#552116yes—
1283C23C22×#4114yes—
1284C23C22×#4114yes—
1285C23C22×#4114yes—
1286C23C22×#4114yes—
1287C23C22×#4112yes—
1288C23C22×#4112yes—
1289C23C2×H(5,𝔽2)14yes—
1290C23C2×H(5,𝔽2)12yes—
1291C23C2×H(5,𝔽2)12yes—
1292C23C2×H(5,𝔽2)12yes—
1293C23C2×2−1+414yes—
1294C23C2×2−1+414yes—
1295C23C2×2−1+412yes—
1296C23C2×2−1+412yes—
1297C23C2611yescharacteristic
1298Q8—88no—
1299D4—416no—
1300D4—416no—
1301D4—88no—
1302C2×C4—232no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—28no—
1312C2×C4—28no—
1313C2×C4—28no—
1314C2×C4—28no—
1315C2×C4—22no—
1316C2×C4—22no—
1317C2×C4—22no—
1318C2×C4—22no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—22no—
1326C2×C4—22no—
1327C2×C4—22no—
1328C2×C4—22no—
1329C2×C4—22no—
1330C2×C4—22no—
1331C2×C4—22no—
1332C2×C4—22no—
1333C2×C4—22no—
1334C2×C4—22no—
1335C2×C4—22no—
1336C2×C4—22no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—22no—
1344C2×C4—22no—
1345C2×C4—22no—
1346C2×C4—22no—
1347C2×C4—22no—
1348C2×C4—22no—
1349C2×C4—22no—
1350C2×C4—22no—
1351C2×C4—22no—
1352C2×C4—22no—
1353C2×C4—22no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—22no—
1357C2×C4—22no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—22no—
1365C2×C4—22no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—22no—
1369C2×C4—22no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—22no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—22no—
1379C2×C4—22no—
1380C2×C4—22no—
1381C2×C4—22no—
1382C2×C4—22no—
1383C2×C4—22no—
1384C2×C4—416no—
1385C2×C4—416no—
1386C2×C4—416no—
1387C2×C4—416no—
1388C2×C4—416no—
1389C2×C4—416no—
1390C2×C4—416no—
1391C2×C4—416no—
1392C2×C4—44no—
1393C2×C4—44no—
1394C2×C4—44no—
1395C2×C4—44no—
1396C2×C4—44no—
1397C2×C4—44no—
1398C2×C4—44no—
1399C2×C4—44no—
1400C2×C4—44no—
1401C2×C4—44no—
1402C2×C4—44no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—88no—
1416C2×C4—88no—
1417C2×C4—88no—
1418C2×C4—88no—
1419C2×C4—88no—
1420C2×C4—88no—
1421C2×C4C22×#4114yes—
1422C2×C4C22×#4114yes—
1423C2×C4C2×H(5,𝔽2)14yes—
1424C2×C4C2×H(5,𝔽2)14yes—
1425C22—24no—
1426C22—24no—
1427C22—24no—
1428C22—24no—
1429C22—24no—
1430C22—24no—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—232no—
1436C22—232no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—464no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—416no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—88no—
1456C22C2×#53918yes—
1457C22C2×#53914yes—
1458C22C2×#55218yes—
1459C22C2×#55214yes—
1460C22#349014yes—
1461C22#351914yes—
1462C22#352014yes—
1463C22#353614yes—
1464C22#353814yes—
1465C22C23×#4111yescharacteristic
1466C22C23×#4111yescharacteristic
1467C22C22×H(5,𝔽2)11yescharacteristic
1468C22C22×H(5,𝔽2)11yescharacteristic
1469C22C22×H(5,𝔽2)11yescharacteristic
1470C22C22×2−1+411yescharacteristic
1471C22C22×2−1+411yescharacteristic
1472C4—24no—
1473C4—24no—
1474C4—24no—
1475C4—24no—
1476C4—42no—
1477C4—42no—
1478C4—42no—
1479C4—42no—
1480C4—42no—
1481C4—42no—
1482C4—42no—
1483C4—42no—
1484C4—42no—
1485C4—42no—
1486C4—42no—
1487C4—42no—
1488C4—42no—
1489C4—42no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C2—28no—
1500C2—28no—
1501C2—44no—
1502C2—82no—
1503C2#3806418yesdirect product factor
1504C2C22×#53911yescharacteristic
1505C2C22×#55211yescharacteristic
1506C2C2×#353611yescharacteristic
1507C2C2×#353811yescharacteristic
1508C2C2×#349011yescharacteristic
1509C2C2×#351911yescharacteristic
1510C2C2×#352011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC22×#120C22
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×#2745C2semidirect
2. C2×#2744C2semidirect
3. C2×#2739C2semidirect
4. C2×#2738C2semidirect
5. C2×#2707C2semidirect
6. C2×#2695C2semidirect
7. C2×#2694C2semidirect
8. C2×#2687C2semidirect
9. #38064C2direct (N × H)
11. C2×#2498C2semidirect
12. C2×#2493C2semidirect
13. C2×#2438C2semidirect
14. C2×#2442C2semidirect
15. C2×#2417C2semidirect
16. C2×#2419C2semidirect
17. C2×#2481C2semidirect
18. C2×#2481C2semidirect
19. C2×#2473C2semidirect
20. C2×#2473C2semidirect
21. C2×#2473C2semidirect
23. C2×#2449C2semidirect
24. C2×#2437C2semidirect
25. C2×#2643C2semidirect
26. C2×#2646C2semidirect
28. C2×#2342C2semidirect
29. C2×#2329C2semidirect
30. C2×#2318C2semidirect
31. C22×#385C2semidirect
32. C22×#380C2semidirect
34. C22×#126C22semidirect
35. C22×#125C22semidirect
36. C22×#125C22semidirect
42. C22×C22⋊Q8C22semidirect
56. #2745C22semidirect
57. #2744C22semidirect
58. #2739C22semidirect
59. #2738C22semidirect
60. #2707C22semidirect
61. #2695C22semidirect
62. #2694C22semidirect
63. #2687C22semidirect
64. #2646C22semidirect
65. #2643C22semidirect
66. #2498C22semidirect
67. #2493C22semidirect
68. #2481C22semidirect
69. #2481C22semidirect
70. #2473C22semidirect
71. #2473C22semidirect
72. #2473C22semidirect
73. #2449C22semidirect
74. #2442C22semidirect
75. #2438C22semidirect
76. #2437C22semidirect
77. #2419C22semidirect
78. #2417C22semidirect
80. C2×#401C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#400C22semidirect
89. C2×#400C22semidirect
90. C2×#400C22semidirect
91. C2×#400C22semidirect
93. C2×#399C22semidirect
94. C2×#398C22semidirect
95. C2×#398C22semidirect
96. C2×#398C22semidirect
97. C2×#398C22semidirect
98. C2×#398C22semidirect
99. C2×#398C22semidirect
100. C2×#398C22semidirect
101. C2×#398C22semidirect
102. C2×#398C22semidirect
103. C2×#398C22semidirect
104. C2×#398C22semidirect
107. C2×#397C22semidirect
108. C2×#397C22semidirect
109. C2×#397C22semidirect
110. C2×#397C22semidirect
113. C2×#396C22semidirect
114. C2×#396C22semidirect
115. C2×#396C22semidirect
116. C2×#395C22semidirect
121. #2342C22semidirect
122. #2329C22semidirect
123. #2318C22semidirect
124. C2×#391C22semidirect
125. C2×#391C22semidirect
127. C2×#389C22semidirect
128. C2×#389C22semidirect
129. C2×#389C22semidirect
130. C2×#389C22semidirect
131. C2×#389C22semidirect
138. C2×#388C22semidirect
139. C2×#388C22semidirect
140. C2×#388C22semidirect
141. C2×#387C22semidirect
142. C2×#387C22semidirect
143. C2×#387C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
146. C2×#387C22semidirect
147. C2×#387C22semidirect
148. C2×#387C22semidirect
149. C2×#387C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#383C22semidirect
188. C2×#382C22semidirect
193. C2×#381C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
244. C2×#126C23semidirect
247. C2×#125C23semidirect
248. C2×#125C23semidirect
260. C2×C22⋊Q8C23semidirect
368. #401C23semidirect
369. #400C23semidirect
370. #400C23semidirect
371. #400C23semidirect
372. #400C23semidirect
373. #400C23semidirect
374. #400C23semidirect
375. #400C23semidirect
376. #400C23semidirect
377. #400C23semidirect
378. #400C23semidirect
379. #400C23semidirect
381. #399C23semidirect
382. #398C23semidirect
383. #398C23semidirect
384. #398C23semidirect
385. #398C23semidirect
386. #398C23semidirect
387. #398C23semidirect
388. #398C23semidirect
389. #398C23semidirect
390. #398C23semidirect
391. #398C23semidirect
392. #398C23semidirect
395. #397C23semidirect
396. #397C23semidirect
397. #397C23semidirect
398. #397C23semidirect
401. #396C23semidirect
402. #396C23semidirect
403. #396C23semidirect
404. #395C23semidirect
408. #391C23semidirect
409. #391C23semidirect
411. #389C23semidirect
412. #389C23semidirect
413. #389C23semidirect
414. #389C23semidirect
415. #389C23semidirect
422. #388C23semidirect
423. #388C23semidirect
424. #388C23semidirect
425. #387C23semidirect
426. #387C23semidirect
427. #387C23semidirect
428. #387C23semidirect
429. #387C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
469. #385C23semidirect
470. #383C23semidirect
471. #382C23semidirect
476. #381C23semidirect
490. #380C23semidirect
1503. C2#38064direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27452
C2×#27442
C2×#27392
C2×#27382
C2×#27072
C2×#26952
C2×#26942
C2×#26872
#380642
C2×#28492
C2×#24982
C2×#24932
C2×#24382
C2×#24422
C2×#24172
C2×#24192
C2×#24812
C2×#24732
C2×#24122
C2×#24492
C2×#24372
C2×#26432
C2×#26462
C2×#23582
C2×#23422
C2×#23292
C2×#23182
C22×#3852
C22×#3802