Finite Group Databasebeta

← C2×#38636 #7635885

Subgroups — C2×#38636 #7635885

Order 512.

6636 conjugacy classes of subgroups.

The subgroup lattice has 1526 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2784C211yesmaximal, characteristic, complemented
2C2×#2782C211yesmaximal, characteristic, complemented
3C2×#2778C211yesmaximal, characteristic, complemented
4C2×#2775C211yesmaximal, characteristic, complemented
5C2×#2745C211yesmaximal, characteristic, complemented
6C2×#2697C211yesmaximal, characteristic, complemented
7C2×#2693C211yesmaximal, characteristic, complemented
8C2×#2684C211yesmaximal, characteristic, complemented
9#38636C2132yesmaximal, direct product factor
10C2×#2852C211yesmaximal, characteristic, complemented
11C2×#2600C211yesmaximal, characteristic, complemented
12C2×#2578C211yesmaximal, characteristic, complemented
13C2×#2573C211yesmaximal, characteristic, complemented
14C2×#2572C211yesmaximal, characteristic, complemented
15C2×#2557C211yesmaximal, characteristic, complemented
16C2×#2534C211yesmaximal, characteristic, complemented
17C2×#2527C211yesmaximal, characteristic, complemented
18C2×#2526C211yesmaximal, characteristic, complemented
19C2×#2406C211yesmaximal, characteristic, complemented
20C2×#2404C211yesmaximal, characteristic
21C2×#2470C211yesmaximal, characteristic, complemented
22C2×#2474C211yesmaximal, characteristic, complemented
23C2×#2481C211yesmaximal, characteristic, complemented
24C2×#2480C211yesmaximal, characteristic, complemented
25C2×#2650C211yesmaximal, characteristic, complemented
26C2×#2665C211yesmaximal, characteristic, complemented
27C2×#2352C211yesmaximal, characteristic, complemented
28C2×#2342C211yesmaximal, characteristic, complemented
29C2×#2335C211yesmaximal, characteristic, complemented
30C2×#2321C211yesmaximal, characteristic, complemented
31C2×#2297C211yesmaximal, characteristic, complemented
32C2×#2290C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C22×#126C2211yescharacteristic
35C22×#124C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×#123C2211yescharacteristic
38C22×#123C2211yescharacteristic, complemented
39C22×#120C2211yescharacteristic
40C22×#120C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C22×#117C2211yescharacteristic
44C22×#117C2211yescharacteristic, complemented
45C23×C4⋊C4C2211yescharacteristic, complemented
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C42C2211yescharacteristic, complemented
49#2852C22116yescomplemented
50#2784C22116yescomplemented
51#2782C22116yescomplemented
52#2778C22116yescomplemented
53#2775C22116yescomplemented
54#2745C22116yescomplemented
55#2697C22116yescomplemented
56#2693C22116yescomplemented
57#2684C22116yescomplemented
58#2665C22116yescomplemented
59#2650C22116yescomplemented
60#2600C22116yescomplemented
61#2578C22116yescomplemented
62#2573C22116yescomplemented
63#2572C22116yescomplemented
64#2557C22116yescomplemented
65#2534C22116yescomplemented
66#2527C22116yescomplemented
67#2526C22116yescomplemented
68#2481C22116yescomplemented
69#2480C22116yescomplemented
70#2474C22116yescomplemented
71#2470C22116yescomplemented
72#2406C22116yescomplemented
73#2404C22116yes—
74C2×#401C2211yescharacteristic, complemented
75C2×#400C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#397C2211yescharacteristic
84C2×#397C2211yescharacteristic
85C2×#397C2211yescharacteristic
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic
88C2×#397C2211yescharacteristic
89C2×#397C2211yescharacteristic
90C2×#397C2211yescharacteristic, complemented
91C2×#397C2211yescharacteristic, complemented
92C2×#396C2211yescharacteristic
93C2×#396C2211yescharacteristic
94C2×#396C2211yescharacteristic
95C2×#396C2211yescharacteristic
96C2×#396C2211yescharacteristic
97C2×#396C2211yescharacteristic, complemented
98C2×#395C2211yescharacteristic, complemented
99C2×#395C2211yescharacteristic, complemented
100C2×#395C2211yescharacteristic, complemented
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic
107C2×#393C2211yescharacteristic
108C2×#393C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic
111C2×#393C2211yescharacteristic, complemented
112C2×#392C2211yescharacteristic
113C2×#392C2211yescharacteristic
114#2352C22116yescomplemented
115#2342C22116yescomplemented
116#2335C22116yescomplemented
117#2321C22116yescomplemented
118#2297C22116yescomplemented
119C2×#391C2211yescharacteristic, complemented
120C2×#391C2211yescharacteristic, complemented
121C2×#391C2211yescharacteristic, complemented
122C2×#391C2211yescharacteristic, complemented
123C2×#390C2211yescharacteristic
124C2×#390C2211yescharacteristic
125C2×#390C2211yescharacteristic
126C2×#389C2211yescharacteristic, complemented
127C2×#389C2211yescharacteristic, complemented
128#2290C22116yescomplemented
129C2×#388C2211yescharacteristic
130C2×#388C2211yescharacteristic
131C2×#388C2211yescharacteristic
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
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, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#388C2211yescharacteristic, complemented
150C2×#387C2211yescharacteristic, complemented
151C2×#387C2211yescharacteristic, complemented
152C2×#387C2211yescharacteristic, complemented
153C2×#387C2211yescharacteristic, complemented
154C2×#387C2211yescharacteristic, complemented
155C2×#387C2211yescharacteristic, complemented
156C2×#387C2211yescharacteristic, complemented
157C2×#387C2211yescharacteristic, complemented
158C2×#387C2211yescharacteristic, complemented
159C2×#387C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#383C2211yescharacteristic, complemented
193C2×#383C2211yescharacteristic, complemented
194C2×#382C2211yescharacteristic, complemented
195C2×#381C2211yescharacteristic
196C2×#381C2211yescharacteristic
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic, complemented
199C2×#380C2211yescharacteristic
200C2×#380C2211yescharacteristic
201C2×#380C2211yescharacteristic
202C2×#380C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic, complemented
204C2×#379C2211yescharacteristic
205C2×#379C2211yescharacteristic
206C2×#379C2211yescharacteristic
207C2×C4×C4⋊C4C2211yescharacteristic, complemented
208C2×C4×C4⋊C4C2211yescharacteristic, complemented
209C2×C4×C22⋊C4C2211yescharacteristic
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×#376C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C22×#41—28no—
221C22×#41—44no—
222C22×#41—44no—
223C22×#41C2318yes—
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C2×#126—44no—
244C2×#126C2318yes—
245C2×#124—44no—
246C2×#124C2318yes—
247C2×#123—28no—
248C2×#123—44no—
249C2×#123—44no—
250C2×#123C2318yes—
251C2×#123C2318yes—
252C2×#123C2318yescomplemented
253C2×#120—28no—
254C2×#120—44no—
255C2×#120C2318yes—
256C2×#120C2318yes—
257C2×C4×D4—28no—
258C2×C4×D4—28no—
259C2×C4×D4C2318yes—
260C2×C4×D4C2318yes—
261C2×#117—44no—
262C2×#117—44no—
263C2×#117C2318yes—
264C2×#117C2318yescomplemented
265C22×C4⋊C4—44no—
266C22×C4⋊C4C2311yescharacteristic
267C22×C4⋊C4C2311yescharacteristic
268C22×C4⋊C4C2311yescharacteristic
269C22×C4⋊C4C2311yescharacteristic
270C22×C4⋊C4C2311yescharacteristic
271C22×C4⋊C4C2311yescharacteristic
272C22×C4⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
292C22×C22⋊C4—28no—
293C22×C22⋊C4—44no—
294C22×C22⋊C4C2318yes—
295C22×C22⋊C4C2311yescharacteristic
296C22×C22⋊C4C2311yescharacteristic
297C22×C22⋊C4C2311yescharacteristic
298C22×C22⋊C4C2311yescharacteristic
299C22×C22⋊C4C2311yescharacteristic
300C22×C22⋊C4C2311yescharacteristic
301C22×C22⋊C4C2311yescharacteristic
302C22×C22⋊C4C2311yescharacteristic
303C22×C22⋊C4C2311yescharacteristic
304C22×C22⋊C4C2311yescharacteristic
305C22×C22⋊C4C2311yescharacteristic
306C22×C22⋊C4C2311yescharacteristic
307C22×C22⋊C4C2311yescharacteristic
308C22×C22⋊C4C2311yescharacteristic
309C22×C22⋊C4C2311yescharacteristic
310C22×C22⋊C4C2311yescharacteristic
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2318yes—
316C22×C22⋊C4C2311yescharacteristic
317C22×C22⋊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×C42—44no—
345C22×C42C2311yescharacteristic
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2318yescomplemented
358#401C2318yescomplemented
359#400C2318yescomplemented
360#400C2318yescomplemented
361#400C2318yescomplemented
362#400C2318yescomplemented
363#400C2318yescomplemented
364#400C2318yescomplemented
365#400C2318yescomplemented
366#400C2318yescomplemented
367#397C2318yes—
368#397C2318yes—
369#397C2318yes—
370#397C2318yes—
371#397C2318yes—
372#397C2318yes—
373#397C2318yes—
374#397C2318yescomplemented
375#397C2318yescomplemented
376#396C2318yes—
377#396C2318yes—
378#396C2318yes—
379#396C2318yes—
380#396C2318yes—
381#396C2318yescomplemented
382#395C2318yescomplemented
383#395C2318yescomplemented
384#395C2318yescomplemented
385#394C2318yes—
386#394C2318yes—
387#394C2318yes—
388#394C2318yes—
389#394C2318yes—
390#394C2318yes—
391#393C2318yes—
392#393C2318yes—
393#393C2318yes—
394#393C2318yes—
395#393C2318yescomplemented
396#392C2318yes—
397#392C2318yes—
398#391C2318yescomplemented
399#391C2318yescomplemented
400#391C2318yescomplemented
401#391C2318yescomplemented
402#390C2318yes—
403#390C2318yes—
404#390C2318yes—
405#389C2318yescomplemented
406#389C2318yescomplemented
407#388C2318yes—
408#388C2318yes—
409#388C2318yes—
410#388C2318yes—
411#388C2318yes—
412#388C2318yes—
413#388C2318yes—
414#388C2318yes—
415#388C2318yes—
416#388C2318yes—
417#388C2318yes—
418#388C2318yes—
419#388C2318yes—
420#388C2318yes—
421#388C2318yes—
422#388C2318yes—
423#388C2318yes—
424#388C2318yescomplemented
425#388C2318yescomplemented
426#388C2318yescomplemented
427#388C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#387C2318yescomplemented
435#387C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#387C2318yescomplemented
439#387C2318yescomplemented
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#386C2318yes—
449#386C2318yes—
450#386C2318yes—
451#386C2318yes—
452#386C2318yes—
453#386C2318yes—
454#386C2318yes—
455#386C2318yes—
456#386C2318yescomplemented
457#386C2318yescomplemented
458#386C2318yescomplemented
459#385C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yescomplemented
465#385C2318yescomplemented
466#385C2318yescomplemented
467#385C2318yescomplemented
468#385C2318yescomplemented
469#385C2318yescomplemented
470#383C2318yescomplemented
471#383C2318yescomplemented
472#382C2318yescomplemented
473#381C2318yes—
474#381C2318yes—
475#381C2318yes—
476#381C2318yescomplemented
477#380C2318yes—
478#380C2318yes—
479#380C2318yes—
480#380C2318yescomplemented
481#380C2318yescomplemented
482#379C2318yes—
483#379C2318yes—
484#379C2318yes—
485C4×C4⋊C4C2318yescomplemented
486C4×C4⋊C4C2318yescomplemented
487C4×C22⋊C4C2318yes—
488C4×C22⋊C4C2318yes—
489C4×C22⋊C4C2318yes—
490C4×C22⋊C4C2318yes—
491C4×C22⋊C4C2318yes—
492C4×C22⋊C4C2318yescomplemented
493C4×C22⋊C4C2318yescomplemented
494C4×C22⋊C4C2318yescomplemented
495C4×C22⋊C4C2318yescomplemented
496#376C2318yescomplemented
497C2×#95C2311yescharacteristic
498C2×#95C2311yescharacteristic
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
547C25—24no—
548C25—24no—
549C25—42no—
550C25—42no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2411yescharacteristic
559C25C2414yes—
560C2×#41—232no—
561C2×#41—416no—
562C2×#41—416no—
563C2×#41—464no—
564C22×Q8—24no—
565C22×Q8—42no—
566C22×Q8—42no—
567C22×Q8—42no—
568C22×Q8—42no—
569C22×Q8—42no—
570C22×Q8C2414yes—
571C22×Q8C2414yes—
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—42no—
583C22×D4—42no—
584C22×D4—42no—
585C22×D4—42no—
586C22×D4—42no—
587C22×D4—42no—
588C22×D4—42no—
589C22×D4—42no—
590C22×D4—42no—
591C22×D4—42no—
592C22×D4#4118yes—
593C22×D4C2414yes—
594C22×D4C2414yes—
595C22×D4C2414yes—
596C22×D4C2414yes—
597C22×D4C2414yes—
598C22×D4C2414yes—
599C22×D4C2414yes—
600C23×C4—24no—
601C23×C4—24no—
602C23×C4—24no—
603C23×C4—24no—
604C23×C4—24no—
605C23×C4—24no—
606C23×C4—24no—
607C23×C4—24no—
608C23×C4—24no—
609C23×C4—24no—
610C23×C4—24no—
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#4118yescomplemented
630C23×C4C2414yes—
631C23×C4C2411yescharacteristic
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×C4C2414yes—
654C23×C4C2414yes—
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2414yes—
660C23×C4C2414yes—
661C23×C4C2414yes—
662C23×C4C2414yes—
663C23×C4C2414yes—
664C23×C4C2414yes—
665C23×C4C2414yes—
666#126—416no—
667#124—416no—
668#123—232no—
669#123—416no—
670#123—416no—
671#120—232no—
672#120—416no—
673C4×D4—232no—
674C4×D4—232no—
675#117—416no—
676#117—416no—
677C2×C4⋊C4—24no—
678C2×C4⋊C4—24no—
679C2×C4⋊C4—24no—
680C2×C4⋊C4—24no—
681C2×C4⋊C4—24no—
682C2×C4⋊C4—24no—
683C2×C4⋊C4—416no—
684C2×C4⋊C4—42no—
685C2×C4⋊C4—42no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—42no—
691C2×C4⋊C4—42no—
692C2×C4⋊C4—42no—
693C2×C4⋊C4—42no—
694C2×C4⋊C4—42no—
695C2×C4⋊C4—42no—
696C2×C4⋊C4—42no—
697C2×C4⋊C4—42no—
698C2×C4⋊C4—42no—
699C2×C4⋊C4—42no—
700C2×C4⋊C4—42no—
701C2×C4⋊C4—42no—
702C2×C4⋊C4—42no—
703C2×C4⋊C4C2414yes—
704C2×C4⋊C4C2414yes—
705C2×C4⋊C4C2414yes—
706C2×C4⋊C4C2414yes—
707C2×C4⋊C4C2414yes—
708C2×C4⋊C4C2414yes—
709C2×C4⋊C4C2414yes—
710C2×C4⋊C4C2414yes—
711C2×C4⋊C4C2414yes—
712C2×C4⋊C4C2414yes—
713C2×C4⋊C4C2414yes—
714C2×C4⋊C4C2414yes—
715C2×C4⋊C4C2414yes—
716C2×C4⋊C4C2414yes—
717C2×C4⋊C4C2414yes—
718C2×C4⋊C4C2414yes—
719C2×C4⋊C4C2414yes—
720C2×C4⋊C4C2414yes—
721C2×C4⋊C4C2414yes—
722C2×C4⋊C4C2414yes—
723C2×C4⋊C4C2414yes—
724C2×C4⋊C4C2414yes—
725C2×C4⋊C4C2414yes—
726C2×C4⋊C4C2414yes—
727C2×C4⋊C4C2414yes—
728C2×C22⋊C4—24no—
729C2×C22⋊C4—24no—
730C2×C22⋊C4—24no—
731C2×C22⋊C4—24no—
732C2×C22⋊C4—24no—
733C2×C22⋊C4—24no—
734C2×C22⋊C4—24no—
735C2×C22⋊C4—24no—
736C2×C22⋊C4—24no—
737C2×C22⋊C4—24no—
738C2×C22⋊C4—24no—
739C2×C22⋊C4—24no—
740C2×C22⋊C4—24no—
741C2×C22⋊C4—24no—
742C2×C22⋊C4—24no—
743C2×C22⋊C4—24no—
744C2×C22⋊C4—24no—
745C2×C22⋊C4—24no—
746C2×C22⋊C4—232no—
747C2×C22⋊C4—24no—
748C2×C22⋊C4—24no—
749C2×C22⋊C4—416no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—42no—
754C2×C22⋊C4—42no—
755C2×C22⋊C4—42no—
756C2×C22⋊C4—42no—
757C2×C22⋊C4—42no—
758C2×C22⋊C4—42no—
759C2×C22⋊C4—42no—
760C2×C22⋊C4—42no—
761C2×C22⋊C4—42no—
762C2×C22⋊C4—42no—
763C2×C22⋊C4—42no—
764C2×C22⋊C4—42no—
765C2×C22⋊C4—42no—
766C2×C22⋊C4—42no—
767C2×C22⋊C4—42no—
768C2×C22⋊C4—42no—
769C2×C22⋊C4—42no—
770C2×C22⋊C4—42no—
771C2×C22⋊C4—42no—
772C2×C22⋊C4—42no—
773C2×C22⋊C4—42no—
774C2×C22⋊C4—42no—
775C2×C22⋊C4—42no—
776C2×C22⋊C4—42no—
777C2×C22⋊C4—42no—
778C2×C22⋊C4C2414yes—
779C2×C22⋊C4C2414yes—
780C2×C22⋊C4C2414yes—
781C2×C22⋊C4C2414yes—
782C2×C22⋊C4C2414yes—
783C2×C22⋊C4C2414yes—
784C2×C22⋊C4C2414yes—
785C2×C22⋊C4C2414yes—
786C2×C22⋊C4C2414yes—
787C2×C22⋊C4C2414yes—
788C2×C22⋊C4C2414yes—
789C2×C22⋊C4C2414yes—
790C2×C22⋊C4C2414yes—
791C2×C22⋊C4C2414yes—
792C2×C22⋊C4C2414yes—
793C2×C22⋊C4C2414yes—
794C2×C22⋊C4C2414yes—
795C2×C22⋊C4C2414yes—
796C2×C22⋊C4C2414yes—
797C2×C22⋊C4C2414yes—
798C2×C22⋊C4C2414yes—
799C2×C22⋊C4C2414yes—
800C2×C22⋊C4C2414yes—
801C2×C22⋊C4C2414yes—
802C2×C22⋊C4C2414yes—
803C2×C22⋊C4C2414yes—
804C2×C22⋊C4C2414yes—
805C2×C22⋊C4C2414yes—
806C2×C22⋊C4C2414yes—
807C2×C22⋊C4C2414yes—
808C2×C22⋊C4C2414yes—
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×C42—24no—
827C2×C42—24no—
828C2×C42—24no—
829C2×C42—24no—
830C2×C42—416no—
831C2×C42—42no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—42no—
835C2×C42—42no—
836C2×C42—42no—
837C2×C42—42no—
838C2×C42—42no—
839C2×C42C2414yes—
840C2×C42C2414yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847C2×C42C2414yes—
848C2×C42C2414yes—
849C2×C42C2414yes—
850C2×C42C2414yes—
851#95C2414yes—
852#95C2414yes—
853#95C2414yes—
854#95C2414yes—
855#95C2414yes—
856#95C2414yes—
857#95C2414yes—
858#95C2414yes—
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—
901C24—22no—
902C24—22no—
903C24—22no—
904C24—22no—
905C24—22no—
906C24—22no—
907C24—22no—
908C24—22no—
909C24—22no—
910C24—22no—
911C24—22no—
912C24—22no—
913C24—22no—
914C24—22no—
915C24—22no—
916C24—22no—
917C24—22no—
918C24—22no—
919C24—22no—
920C24—22no—
921C24—22no—
922C24—22no—
923C24—22no—
924C24—22no—
925C24—22no—
926C24—22no—
927C24—22no—
928C24—22no—
929C24—22no—
930C24—22no—
931C24—22no—
932C24—28no—
933C24—28no—
934C24—44no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—44no—
939C24—416no—
940C24—416no—
941C24—88no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24—88no—
946C24C2×#4114yes—
947C24C2×#4114yes—
948C24C2×#4114yes—
949C24H(5,𝔽2)14yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2512yes—
955C24C2511yescharacteristic
956#41—4128no—
957C2×Q8—28no—
958C2×Q8—44no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—44no—
963C2×Q8—416no—
964C2×Q8—88no—
965C2×D4—28no—
966C2×D4—28no—
967C2×D4—28no—
968C2×D4—28no—
969C2×D4—28no—
970C2×D4—28no—
971C2×D4—28no—
972C2×D4—28no—
973C2×D4—28no—
974C2×D4—28no—
975C2×D4—416no—
976C2×D4—44no—
977C2×D4—44no—
978C2×D4—44no—
979C2×D4—44no—
980C2×D4—44no—
981C2×D4—44no—
982C2×D4—44no—
983C2×D4—44no—
984C2×D4—44no—
985C2×D4—44no—
986C2×D4—416no—
987C2×D4—416no—
988C2×D4—416no—
989C2×D4—416no—
990C2×D4—88no—
991C2×D4—88no—
992C2×D4C2×#41116yes—
993C22×C4—232no—
994C22×C4—22no—
995C22×C4—22no—
996C22×C4—22no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—22no—
1000C22×C4—28no—
1001C22×C4—22no—
1002C22×C4—22no—
1003C22×C4—28no—
1004C22×C4—28no—
1005C22×C4—22no—
1006C22×C4—22no—
1007C22×C4—22no—
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—28no—
1022C22×C4—28no—
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—22no—
1049C22×C4—22no—
1050C22×C4—22no—
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—28no—
1074C22×C4—28no—
1075C22×C4—28no—
1076C22×C4—28no—
1077C22×C4—28no—
1078C22×C4—28no—
1079C22×C4—44no—
1080C22×C4—44no—
1081C22×C4—44no—
1082C22×C4—44no—
1083C22×C4—416no—
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—44no—
1098C22×C4—416no—
1099C22×C4—416no—
1100C22×C4—416no—
1101C22×C4—416no—
1102C22×C4—416no—
1103C22×C4—88no—
1104C22×C4—88no—
1105C22×C4—88no—
1106C22×C4C2×#4114yes—
1107C22×C4C2×#4114yes—
1108C22×C4C2×#4114yes—
1109C22×C4C2×#41116yescomplemented
1110C22×C4H(5,𝔽2)14yes—
1111C22×C4C2512yes—
1112C22×C4C2512yes—
1113C22×C4C2512yes—
1114C22×C4C2512yes—
1115C22×C4C2512yes—
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—
1137C4⋊C4—28no—
1138C4⋊C4—28no—
1139C4⋊C4—28no—
1140C4⋊C4—28no—
1141C4⋊C4—28no—
1142C4⋊C4—28no—
1143C4⋊C4—44no—
1144C4⋊C4—44no—
1145C4⋊C4—44no—
1146C4⋊C4—44no—
1147C4⋊C4—44no—
1148C4⋊C4—44no—
1149C4⋊C4—44no—
1150C4⋊C4—44no—
1151C4⋊C4—44no—
1152C4⋊C4—44no—
1153C4⋊C4—44no—
1154C4⋊C4—44no—
1155C4⋊C4—44no—
1156C4⋊C4—44no—
1157C4⋊C4—44no—
1158C4⋊C4—44no—
1159C4⋊C4—44no—
1160C4⋊C4—44no—
1161C4⋊C4—44no—
1162C22⋊C4—28no—
1163C22⋊C4—28no—
1164C22⋊C4—28no—
1165C22⋊C4—28no—
1166C22⋊C4—28no—
1167C22⋊C4—28no—
1168C22⋊C4—28no—
1169C22⋊C4—28no—
1170C22⋊C4—28no—
1171C22⋊C4—28no—
1172C22⋊C4—28no—
1173C22⋊C4—28no—
1174C22⋊C4—28no—
1175C22⋊C4—28no—
1176C22⋊C4—28no—
1177C22⋊C4—28no—
1178C22⋊C4—28no—
1179C22⋊C4—28no—
1180C22⋊C4—28no—
1181C22⋊C4—28no—
1182C22⋊C4—44no—
1183C22⋊C4—44no—
1184C22⋊C4—44no—
1185C22⋊C4—44no—
1186C22⋊C4—44no—
1187C22⋊C4—44no—
1188C22⋊C4—44no—
1189C22⋊C4—44no—
1190C22⋊C4—44no—
1191C22⋊C4—44no—
1192C22⋊C4—44no—
1193C22⋊C4—44no—
1194C22⋊C4—44no—
1195C22⋊C4—44no—
1196C22⋊C4—44no—
1197C22⋊C4—44no—
1198C22⋊C4—44no—
1199C22⋊C4—44no—
1200C22⋊C4—44no—
1201C22⋊C4—44no—
1202C22⋊C4—44no—
1203C22⋊C4—44no—
1204C22⋊C4—44no—
1205C22⋊C4—44no—
1206C22⋊C4—44no—
1207C22⋊C4—44no—
1208C22⋊C4—44no—
1209C22⋊C4—44no—
1210C42—28no—
1211C42—28no—
1212C42—28no—
1213C42—28no—
1214C42—44no—
1215C42—44no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C23—22no—
1223C23—22no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—22no—
1229C23—22no—
1230C23—22no—
1231C23—22no—
1232C23—22no—
1233C23—22no—
1234C23—22no—
1235C23—22no—
1236C23—22no—
1237C23—22no—
1238C23—22no—
1239C23—22no—
1240C23—22no—
1241C23—22no—
1242C23—22no—
1243C23—22no—
1244C23—22no—
1245C23—22no—
1246C23—28no—
1247C23—28no—
1248C23—28no—
1249C23—28no—
1250C23—28no—
1251C23—28no—
1252C23—28no—
1253C23—28no—
1254C23—28no—
1255C23—28no—
1256C23—28no—
1257C23—28no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—416no—
1266C23—416no—
1267C23—44no—
1268C23—44no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—88no—
1291C23—88no—
1292C23—88no—
1293C23—88no—
1294C23—88no—
1295C23—864no—
1296C23C22×#4114yes—
1297C23C22×#4114yes—
1298C23C22×#4114yes—
1299C23C22×#4112yes—
1300C23C22×#4112yes—
1301C23C2×H(5,𝔽2)14yes—
1302C23C2×H(5,𝔽2)12yes—
1303C23C2×H(5,𝔽2)12yes—
1304C23#58512yes—
1305C23#58512yes—
1306C23#58512yes—
1307C23C2611yescharacteristic
1308Q8—416no—
1309Q8—88no—
1310D4—416no—
1311D4—416no—
1312D4—416no—
1313D4—416no—
1314D4—416no—
1315D4—88no—
1316D4—88no—
1317C2×C4—232no—
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—28no—
1327C2×C4—28no—
1328C2×C4—28no—
1329C2×C4—28no—
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—22no—
1385C2×C4—22no—
1386C2×C4—22no—
1387C2×C4—22no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—22no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—416no—
1397C2×C4—416no—
1398C2×C4—416no—
1399C2×C4—416no—
1400C2×C4—416no—
1401C2×C4—416no—
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—44no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—44no—
1423C2×C4—44no—
1424C2×C4—88no—
1425C2×C4—88no—
1426C2×C4—88no—
1427C2×C4C22×#4114yes—
1428C2×C4C22×#4114yes—
1429C2×C4C22×#4114yes—
1430C2×C4C2×H(5,𝔽2)14yes—
1431C22—24no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—24no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—42no—
1449C22—42no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—416no—
1459C22—416no—
1460C22—416no—
1461C22—416no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—832no—
1471C22—88no—
1472C22#345914yes—
1473C22#347514yes—
1474C22#349014yes—
1475C22#349414yes—
1476C22#352114yes—
1477C22#354014yes—
1478C22#356014yes—
1479C22C23×#4111yescharacteristic
1480C22C23×#4111yescharacteristic
1481C22C22×H(5,𝔽2)11yescharacteristic
1482C22C22×H(5,𝔽2)11yescharacteristic
1483C22C2×#58511yescharacteristic
1484C22C2×#58511yescharacteristic
1485C22C2×#58511yescharacteristic
1486C4—24no—
1487C4—24no—
1488C4—24no—
1489C4—24no—
1490C4—42no—
1491C4—42no—
1492C4—42no—
1493C4—42no—
1494C4—42no—
1495C4—42no—
1496C4—42no—
1497C4—42no—
1498C4—42no—
1499C4—42no—
1500C4—42no—
1501C4—42no—
1502C4—42no—
1503C4—42no—
1504C4—42no—
1505C4—42no—
1506C4—42no—
1507C4—42no—
1508C4—42no—
1509C4—42no—
1510C4—42no—
1511C4—42no—
1512C2—44no—
1513C2—44no—
1514C2—44no—
1515C2—44no—
1516C2—82no—
1517C2#3863618yesdirect product factor
1518C2C2×#345911yescharacteristic
1519C2C2×#347511yescharacteristic
1520C2C2×#354011yescharacteristic
1521C2C2×#356011yescharacteristic
1522C2C2×#349011yescharacteristic
1523C2C2×#352111yescharacteristic
1524C2C2×#349411yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2404C2
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×#2784C2semidirect
2. C2×#2782C2semidirect
3. C2×#2778C2semidirect
4. C2×#2775C2semidirect
5. C2×#2745C2semidirect
6. C2×#2697C2semidirect
7. C2×#2693C2semidirect
8. C2×#2684C2semidirect
9. #38636C2direct (N × H)
10. C2×#2852C2semidirect
11. C2×#2600C2semidirect
12. C2×#2578C2semidirect
13. C2×#2573C2semidirect
14. C2×#2572C2semidirect
15. C2×#2557C2semidirect
16. C2×#2534C2semidirect
17. C2×#2527C2semidirect
18. C2×#2526C2semidirect
19. C2×#2406C2semidirect
21. C2×#2470C2semidirect
22. C2×#2474C2semidirect
23. C2×#2481C2semidirect
24. C2×#2480C2semidirect
25. C2×#2650C2semidirect
26. C2×#2665C2semidirect
27. C2×#2352C2semidirect
28. C2×#2342C2semidirect
29. C2×#2335C2semidirect
30. C2×#2321C2semidirect
31. C2×#2297C2semidirect
32. C2×#2290C2semidirect
38. C22×#123C22semidirect
44. C22×#117C22semidirect
45. C23×C4⋊C4C22semidirect
48. C23×C42C22semidirect
49. #2852C22semidirect
50. #2784C22semidirect
51. #2782C22semidirect
52. #2778C22semidirect
53. #2775C22semidirect
54. #2745C22semidirect
55. #2697C22semidirect
56. #2693C22semidirect
57. #2684C22semidirect
58. #2665C22semidirect
59. #2650C22semidirect
60. #2600C22semidirect
61. #2578C22semidirect
62. #2573C22semidirect
63. #2572C22semidirect
64. #2557C22semidirect
65. #2534C22semidirect
66. #2527C22semidirect
67. #2526C22semidirect
68. #2481C22semidirect
69. #2480C22semidirect
70. #2474C22semidirect
71. #2470C22semidirect
72. #2406C22semidirect
74. C2×#401C22semidirect
75. C2×#400C22semidirect
76. C2×#400C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
90. C2×#397C22semidirect
91. C2×#397C22semidirect
97. C2×#396C22semidirect
98. C2×#395C22semidirect
99. C2×#395C22semidirect
100. C2×#395C22semidirect
111. C2×#393C22semidirect
114. #2352C22semidirect
115. #2342C22semidirect
116. #2335C22semidirect
117. #2321C22semidirect
118. #2297C22semidirect
119. C2×#391C22semidirect
120. C2×#391C22semidirect
121. C2×#391C22semidirect
122. C2×#391C22semidirect
126. C2×#389C22semidirect
127. C2×#389C22semidirect
128. #2290C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#388C22semidirect
150. C2×#387C22semidirect
151. C2×#387C22semidirect
152. C2×#387C22semidirect
153. C2×#387C22semidirect
154. C2×#387C22semidirect
155. C2×#387C22semidirect
156. C2×#387C22semidirect
157. C2×#387C22semidirect
158. C2×#387C22semidirect
159. C2×#387C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#383C22semidirect
193. C2×#383C22semidirect
194. C2×#382C22semidirect
198. C2×#381C22semidirect
202. C2×#380C22semidirect
203. C2×#380C22semidirect
207. C2×C4×C4⋊C4C22semidirect
208. 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. C2×#376C22semidirect
252. C2×#123C23semidirect
264. C2×#117C23semidirect
291. C22×C4⋊C4C23semidirect
357. C22×C42C23semidirect
358. #401C23semidirect
359. #400C23semidirect
360. #400C23semidirect
361. #400C23semidirect
362. #400C23semidirect
363. #400C23semidirect
364. #400C23semidirect
365. #400C23semidirect
366. #400C23semidirect
374. #397C23semidirect
375. #397C23semidirect
381. #396C23semidirect
382. #395C23semidirect
383. #395C23semidirect
384. #395C23semidirect
395. #393C23semidirect
398. #391C23semidirect
399. #391C23semidirect
400. #391C23semidirect
401. #391C23semidirect
405. #389C23semidirect
406. #389C23semidirect
424. #388C23semidirect
425. #388C23semidirect
426. #388C23semidirect
427. #388C23semidirect
428. #387C23semidirect
429. #387C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
434. #387C23semidirect
435. #387C23semidirect
436. #387C23semidirect
437. #387C23semidirect
438. #387C23semidirect
439. #387C23semidirect
456. #386C23semidirect
457. #386C23semidirect
458. #386C23semidirect
464. #385C23semidirect
465. #385C23semidirect
466. #385C23semidirect
467. #385C23semidirect
468. #385C23semidirect
469. #385C23semidirect
470. #383C23semidirect
471. #383C23semidirect
472. #382C23semidirect
476. #381C23semidirect
480. #380C23semidirect
481. #380C23semidirect
485. C4×C4⋊C4C23semidirect
486. C4×C4⋊C4C23semidirect
492. C4×C22⋊C4C23semidirect
493. C4×C22⋊C4C23semidirect
494. C4×C22⋊C4C23semidirect
495. C4×C22⋊C4C23semidirect
496. #376C23semidirect
629. C23×C4#41semidirect
1109. C22×C4C2×#41semidirect
1517. C2#38636direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27842
C2×#27822
C2×#27782
C2×#27752
C2×#27452
C2×#26972
C2×#26932
C2×#26842
#386362
C2×#28522
C2×#26002
C2×#25782
C2×#25732
C2×#25722
C2×#25572
C2×#25342
C2×#25272
C2×#25262
C2×#24062
C2×#24042
C2×#24702
C2×#24742
C2×#24812
C2×#24802
C2×#26502
C2×#26652
C2×#23522
C2×#23422
C2×#23352
C2×#23212
C2×#22972
C2×#22902