Finite Group Databasebeta

← C2×#38144 #7635404

Subgroups — C2×#38144 #7635404

Order 512.

6706 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2781C211yesmaximal, characteristic, complemented
2C2×#2778C211yesmaximal, characteristic, complemented
3C2×#2759C211yesmaximal, characteristic, complemented
4C2×#2753C211yesmaximal, characteristic, complemented
5C2×#2751C211yesmaximal, characteristic, complemented
6C2×#2750C211yesmaximal, characteristic, complemented
7C2×#2750C211yesmaximal, characteristic, complemented
8C2×#2745C211yesmaximal, characteristic, complemented
9#38144C2132yesmaximal, direct product factor
10C2×#2853C211yesmaximal, characteristic, complemented
11C2×#2597C211yesmaximal, characteristic, complemented
12C2×#2574C211yesmaximal, characteristic, complemented
13C2×#2534C211yesmaximal, characteristic, complemented
14C2×#2503C211yesmaximal, characteristic, complemented
15C2×#2510C211yesmaximal, characteristic, complemented
16C2×#2510C211yesmaximal, characteristic, complemented
17C2×#2493C211yesmaximal, characteristic, complemented
18C2×#2483C211yesmaximal, characteristic, complemented
19C2×#2406C211yesmaximal, characteristic, complemented
20C2×#2404C211yesmaximal, characteristic
21C2×#2450C211yesmaximal, characteristic, complemented
22C2×#2459C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic, complemented
24C2×#2412C211yesmaximal, characteristic, complemented
25C2×#2650C211yesmaximal, characteristic, complemented
26C2×#2648C211yesmaximal, characteristic, complemented
27C2×#2358C211yesmaximal, characteristic, complemented
28C2×#2339C211yesmaximal, characteristic, complemented
29C2×#2337C211yesmaximal, characteristic, complemented
30C2×#2318C211yesmaximal, characteristic, complemented
31C2×C4×#123C211yesmaximal, characteristic, complemented
32C22×#388C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C22×#124C2211yescharacteristic
35C22×#123C2211yescharacteristic
36C22×#123C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×#120C2211yescharacteristic
39C22×#120C2211yescharacteristic
40C22×C4×D4C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43C23×C4⋊C4C2211yescharacteristic
44C23×C22⋊C4C2211yescharacteristic
45C23×C22⋊C4C2211yescharacteristic
46C23×C22⋊C4C2211yescharacteristic
47C23×C22⋊C4C2211yescharacteristic
48C23×C42C2211yescharacteristic
49#2853C22116yescomplemented
50#2781C22116yescomplemented
51#2778C22116yescomplemented
52#2759C22116yescomplemented
53#2753C22116yescomplemented
54#2751C22116yescomplemented
55#2750C22116yescomplemented
56#2750C22116yescomplemented
57#2745C22116yescomplemented
58#2650C22116yescomplemented
59#2648C22116yescomplemented
60#2597C22116yescomplemented
61#2574C22116yescomplemented
62#2534C22116yescomplemented
63#2510C22116yescomplemented
64#2510C22116yescomplemented
65#2503C22116yescomplemented
66#2493C22116yescomplemented
67#2483C22116yescomplemented
68#2472C22116yescomplemented
69#2459C22116yescomplemented
70#2450C22116yescomplemented
71#2412C22116yescomplemented
72#2406C22116yescomplemented
73#2404C22116yes—
74C2×#401C2211yescharacteristic, complemented
75C2×#401C2211yescharacteristic, complemented
76C2×#400C2211yescharacteristic, complemented
77C2×#400C2211yescharacteristic, complemented
78C2×#400C2211yescharacteristic, complemented
79C2×#400C2211yescharacteristic, complemented
80C2×#400C2211yescharacteristic, complemented
81C2×#400C2211yescharacteristic, complemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#398C2211yescharacteristic, complemented
86C2×#397C2211yescharacteristic
87C2×#397C2211yescharacteristic
88C2×#397C2211yescharacteristic
89C2×#397C2211yescharacteristic
90C2×#397C2211yescharacteristic
91C2×#397C2211yescharacteristic
92C2×#397C2211yescharacteristic
93C2×#397C2211yescharacteristic, complemented
94C2×#397C2211yescharacteristic, complemented
95C2×#396C2211yescharacteristic
96C2×#396C2211yescharacteristic
97C2×#396C2211yescharacteristic, complemented
98C2×#395C2211yescharacteristic, complemented
99C2×#395C2211yescharacteristic, complemented
100C2×#394C2211yescharacteristic
101C2×#394C2211yescharacteristic
102C2×#394C2211yescharacteristic
103C2×#394C2211yescharacteristic
104C2×#394C2211yescharacteristic
105C2×#394C2211yescharacteristic
106C2×#394C2211yescharacteristic, complemented
107C2×#394C2211yescharacteristic, complemented
108C2×#393C2211yescharacteristic
109C2×#393C2211yescharacteristic
110C2×#393C2211yescharacteristic
111C2×#393C2211yescharacteristic, complemented
112C2×#392C2211yescharacteristic
113C2×#392C2211yescharacteristic
114#2358C22116yescomplemented
115#2339C22116yescomplemented
116#2337C22116yescomplemented
117#2318C22116yescomplemented
118C4×#123C22116yescomplemented
119C2×#391C2211yescharacteristic, complemented
120C2×#391C2211yescharacteristic, complemented
121C2×#391C2211yescharacteristic, complemented
122C2×#391C2211yescharacteristic, complemented
123C2×#391C2211yescharacteristic, complemented
124C2×#390C2211yescharacteristic
125C2×#390C2211yescharacteristic
126C2×#388C2211yescharacteristic
127C2×#388C2211yescharacteristic
128C2×#388C2211yescharacteristic
129C2×#388C2211yescharacteristic
130C2×#388C2211yescharacteristic
131C2×#388C2211yescharacteristic
132C2×#388C2211yescharacteristic
133C2×#388C2211yescharacteristic
134C2×#388C2211yescharacteristic
135C2×#388C2211yescharacteristic
136C2×#388C2211yescharacteristic
137C2×#388C2211yescharacteristic
138C2×#388C2211yescharacteristic
139C2×#388C2211yescharacteristic
140C2×#388C22116yescomplemented
141C2×#388C2211yescharacteristic, complemented
142C2×#388C2211yescharacteristic, complemented
143C2×#388C2211yescharacteristic, complemented
144C2×#388C2211yescharacteristic, complemented
145C2×#388C2211yescharacteristic, complemented
146C2×#388C2211yescharacteristic, complemented
147C2×#388C2211yescharacteristic, complemented
148C2×#388C2211yescharacteristic, complemented
149C2×#387C2211yescharacteristic, 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×#386C2211yescharacteristic
161C2×#386C2211yescharacteristic
162C2×#386C2211yescharacteristic
163C2×#386C2211yescharacteristic
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#385C2211yescharacteristic
179C2×#385C2211yescharacteristic
180C2×#385C2211yescharacteristic
181C2×#385C2211yescharacteristic
182C2×#385C2211yescharacteristic
183C2×#385C2211yescharacteristic
184C2×#385C2211yescharacteristic
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#383C2211yescharacteristic, complemented
191C2×#383C2211yescharacteristic, complemented
192C2×#382C2211yescharacteristic, complemented
193C2×#382C2211yescharacteristic, complemented
194C2×#381C2211yescharacteristic
195C2×#381C2211yescharacteristic
196C2×#381C2211yescharacteristic
197C2×#381C2211yescharacteristic
198C2×#381C2211yescharacteristic
199C2×#381C2211yescharacteristic
200C2×#381C2211yescharacteristic
201C2×#381C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#379C2211yescharacteristic
208C2×C4×C4⋊C4C2211yescharacteristic, complemented
209C2×C4×C4⋊C4C2211yescharacteristic, complemented
210C2×C4×C22⋊C4C2211yescharacteristic
211C2×C4×C22⋊C4C2211yescharacteristic
212C2×C4×C22⋊C4C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic, 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
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C2×#124—28no—
246C2×#124C2318yes—
247C2×#123—28no—
248C2×#123—44no—
249C2×#123C2318yes—
250C2×#123C2318yes—
251C2×C22⋊Q8—44no—
252C2×C22⋊Q8C2318yes—
253C2×#120—28no—
254C2×#120—44no—
255C2×#120C2318yes—
256C2×#120C2318yes—
257C2×C4×D4—28no—
258C2×C4×D4—44no—
259C2×C4×D4—44no—
260C2×C4×D4C2318yes—
261C2×C4×D4C2318yes—
262C2×C4×D4C2318yes—
263C22×C4⋊C4—44no—
264C22×C4⋊C4C2311yescharacteristic
265C22×C4⋊C4C2311yescharacteristic
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⋊C4C2318yes—
286C22×C4⋊C4C2311yescharacteristic
287C22×C4⋊C4C2311yescharacteristic
288C22×C22⋊C4—28no—
289C22×C22⋊C4—44no—
290C22×C22⋊C4—44no—
291C22×C22⋊C4—44no—
292C22×C22⋊C4C2318yes—
293C22×C22⋊C4C2311yescharacteristic
294C22×C22⋊C4C2311yescharacteristic
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⋊C4C2318yes—
311C22×C22⋊C4C2311yescharacteristic
312C22×C22⋊C4C2311yescharacteristic
313C22×C22⋊C4C2311yescharacteristic
314C22×C22⋊C4C2311yescharacteristic
315C22×C22⋊C4C2311yescharacteristic
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⋊C4C2318yes—
337C22×C22⋊C4C2318yes—
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C42—44no—
343C22×C42C2311yescharacteristic
344C22×C42C2311yescharacteristic
345C22×C42C2318yes—
346C22×C42C2311yescharacteristic
347C22×C42C2311yescharacteristic
348C22×C42C2311yescharacteristic
349C22×C42C2311yescharacteristic
350C22×C42C2311yescharacteristic
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354#401C2318yescomplemented
355#401C2318yescomplemented
356#400C2318yescomplemented
357#400C2318yescomplemented
358#400C2318yescomplemented
359#400C2318yescomplemented
360#400C2318yescomplemented
361#400C2318yescomplemented
362#400C2318yescomplemented
363#400C2318yescomplemented
364#400C2318yescomplemented
365#398C2318yescomplemented
366#397C2318yes—
367#397C2318yes—
368#397C2318yes—
369#397C2318yes—
370#397C2318yes—
371#397C2318yes—
372#397C2318yes—
373#397C2318yescomplemented
374#397C2318yescomplemented
375#396C2318yes—
376#396C2318yes—
377#396C2318yescomplemented
378#395C2318yescomplemented
379#395C2318yescomplemented
380#394C2318yes—
381#394C2318yes—
382#394C2318yes—
383#394C2318yes—
384#394C2318yes—
385#394C2318yes—
386#394C2318yescomplemented
387#394C2318yescomplemented
388#393C2318yes—
389#393C2318yes—
390#393C2318yes—
391#393C2318yescomplemented
392#392C2318yes—
393#392C2318yes—
394#391C2318yescomplemented
395#391C2318yescomplemented
396#391C2318yescomplemented
397#391C2318yescomplemented
398#391C2318yescomplemented
399#390C2318yes—
400#390C2318yes—
401#388C2318yes—
402#388C2318yes—
403#388C2318yes—
404#388C2318yes—
405#388C2318yes—
406#388C2318yes—
407#388C2318yes—
408#388C2318yes—
409#388C2318yes—
410#388C2318yes—
411#388C2318yes—
412#388C2318yes—
413#388C2318yes—
414#388C2318yes—
415#388C2318yescomplemented
416#388C2318yescomplemented
417#388C2318yescomplemented
418#388C2318yescomplemented
419#388C2318yescomplemented
420#388C2318yescomplemented
421#388C2318yescomplemented
422#388C2318yescomplemented
423#387C2318yescomplemented
424#387C2318yescomplemented
425#387C2318yescomplemented
426#387C2318yescomplemented
427#387C2318yescomplemented
428#387C2318yescomplemented
429#387C2318yescomplemented
430#387C2318yescomplemented
431#387C2318yescomplemented
432#387C2318yescomplemented
433#387C2318yescomplemented
434#386C2318yes—
435#386C2318yes—
436#386C2318yes—
437#386C2318yes—
438#386C2318yes—
439#386C2318yes—
440#386C2318yes—
441#386C2318yes—
442#386C2318yes—
443#386C2318yes—
444#386C2318yes—
445#386C2318yes—
446#386C2318yes—
447#386C2318yes—
448#386C2318yes—
449#386C2318yes—
450#386C2318yescomplemented
451#386C2318yescomplemented
452#385C2318yes—
453#385C2318yes—
454#385C2318yes—
455#385C2318yes—
456#385C2318yes—
457#385C2318yes—
458#385C2318yes—
459#385C2318yescomplemented
460#385C2318yescomplemented
461#385C2318yescomplemented
462#385C2318yescomplemented
463#385C2318yescomplemented
464#383C2318yescomplemented
465#383C2318yescomplemented
466#382C2318yescomplemented
467#382C2318yescomplemented
468#381C2318yes—
469#381C2318yes—
470#381C2318yes—
471#381C2318yes—
472#381C2318yes—
473#381C2318yes—
474#381C2318yes—
475#381C2318yescomplemented
476#380C2318yes—
477#380C2318yes—
478#380C2318yes—
479#380C2318yescomplemented
480#380C2318yescomplemented
481#379C2318yes—
482C4×C4⋊C4C2318yescomplemented
483C4×C4⋊C4C2318yescomplemented
484C4×C22⋊C4C2318yes—
485C4×C22⋊C4C2318yes—
486C4×C22⋊C4C2318yes—
487C4×C22⋊C4C2318yescomplemented
488C4×C22⋊C4C2318yescomplemented
489C4×C22⋊C4C2318yescomplemented
490C2×#95C2318yes—
491C2×#95C2311yescharacteristic
492C2×#95C2311yescharacteristic
493C2×#95C2311yescharacteristic
494C2×#95C2311yescharacteristic
495C2×#95C2311yescharacteristic
496C2×#95C2311yescharacteristic
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×#95C2318yes—
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
545C2×#95C2311yescharacteristic
546C2×#95C2318yescomplemented
547C25—24no—
548C25—24no—
549C25—24no—
550C25—24no—
551C25—42no—
552C25—42no—
553C25—42no—
554C25C2411yescharacteristic
555C25C2411yescharacteristic
556C25C2411yescharacteristic
557C25C2411yescharacteristic
558C25C2414yes—
559C25C2411yescharacteristic
560C2×#41—232no—
561C2×#41—416no—
562C2×#41—416no—
563C2×#41—464no—
564C22×Q8—24no—
565C22×Q8—24no—
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—24no—
612C23×C4—24no—
613C23×C4—24no—
614C23×C4—24no—
615C23×C4—24no—
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—42no—
630C23×C4—42no—
631C23×C4—42no—
632C23×C4—42no—
633C23×C4—42no—
634C23×C4—42no—
635C23×C4—42no—
636C23×C4C2414yes—
637C23×C4C2414yes—
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×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2414yes—
662C23×C4C2414yes—
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2414yes—
667C23×C4C2414yes—
668C23×C4C2414yes—
669C23×C4C2414yes—
670C23×C4C2414yes—
671C23×C4C2414yes—
672C23×C4C2414yes—
673C23×C4C2414yes—
674#124—232no—
675#123—232no—
676#123—416no—
677C22⋊Q8—416no—
678#120—232no—
679#120—416no—
680C4×D4—232no—
681C4×D4—416no—
682C4×D4—416no—
683C2×C4⋊C4—24no—
684C2×C4⋊C4—24no—
685C2×C4⋊C4—24no—
686C2×C4⋊C4—42no—
687C2×C4⋊C4—42no—
688C2×C4⋊C4—42no—
689C2×C4⋊C4—42no—
690C2×C4⋊C4—416no—
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⋊C4—42no—
704C2×C4⋊C4—42no—
705C2×C4⋊C4—42no—
706C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
729C2×C4⋊C4C2414yes—
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—24no—
747C2×C22⋊C4—232no—
748C2×C22⋊C4—416no—
749C2×C22⋊C4—42no—
750C2×C22⋊C4—42no—
751C2×C22⋊C4—42no—
752C2×C22⋊C4—42no—
753C2×C22⋊C4—416no—
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—416no—
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⋊C4—42no—
779C2×C22⋊C4#4118yescomplemented
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—42no—
829C2×C42—42no—
830C2×C42—42no—
831C2×C42—42no—
832C2×C42—42no—
833C2×C42—42no—
834C2×C42—416no—
835C2×C42—42no—
836C2×C42—42no—
837C2×C42C2414yes—
838C2×C42C2414yes—
839C2×C42C2414yes—
840C2×C42C2414yes—
841C2×C42C2414yes—
842C2×C42C2414yes—
843C2×C42C2414yes—
844C2×C42C2414yes—
845C2×C42C2414yes—
846C2×C42C2414yes—
847#95C2414yes—
848#95C2414yes—
849#95C2414yes—
850#95C2414yes—
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—28no—
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—28no—
935C24—44no—
936C24—44no—
937C24—44no—
938C24—416no—
939C24—416no—
940C24—416no—
941C24—416no—
942C24—88no—
943C24—88no—
944C24—88no—
945C24C2×#4114yes—
946C24C2×#4114yes—
947C24C2×#4114yes—
948C24H(5,𝔽2)14yes—
949C24H(5,𝔽2)14yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2512yes—
954C24C2512yes—
955C24C2511yescharacteristic
956#41—4128no—
957C2×Q8—28no—
958C2×Q8—28no—
959C2×Q8—44no—
960C2×Q8—44no—
961C2×Q8—44no—
962C2×Q8—44no—
963C2×Q8—416no—
964C2×Q8—88no—
965C2×D4—232no—
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—28no—
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—88no—
990C2×D4—88no—
991C2×D4—88no—
992C2×D4C2×#41116yes—
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—22no—
1004C22×C4—22no—
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—28no—
1014C22×C4—22no—
1015C22×C4—22no—
1016C22×C4—22no—
1017C22×C4—28no—
1018C22×C4—28no—
1019C22×C4—28no—
1020C22×C4—22no—
1021C22×C4—22no—
1022C22×C4—22no—
1023C22×C4—22no—
1024C22×C4—22no—
1025C22×C4—28no—
1026C22×C4—28no—
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—28no—
1038C22×C4—22no—
1039C22×C4—22no—
1040C22×C4—22no—
1041C22×C4—22no—
1042C22×C4—28no—
1043C22×C4—22no—
1044C22×C4—22no—
1045C22×C4—28no—
1046C22×C4—22no—
1047C22×C4—22no—
1048C22×C4—28no—
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—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—28no—
1079C22×C4—28no—
1080C22×C4—28no—
1081C22×C4—28no—
1082C22×C4—28no—
1083C22×C4—28no—
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—44no—
1099C22×C4—44no—
1100C22×C4—44no—
1101C22×C4—44no—
1102C22×C4—44no—
1103C22×C4—44no—
1104C22×C4—416no—
1105C22×C4—416no—
1106C22×C4—416no—
1107C22×C4—416no—
1108C22×C4—416no—
1109C22×C4—416no—
1110C22×C4—416no—
1111C22×C4—88no—
1112C22×C4—88no—
1113C22×C4—88no—
1114C22×C4—88no—
1115C22×C4—88no—
1116C22×C4C2×#4114yes—
1117C22×C4C2×#4114yes—
1118C22×C4C2×#4114yes—
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—
1143C22×C4C2512yes—
1144C22×C4C2512yes—
1145C4⋊C4—28no—
1146C4⋊C4—28no—
1147C4⋊C4—28no—
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—
1162C4⋊C4—44no—
1163C4⋊C4—44no—
1164C4⋊C4—44no—
1165C4⋊C4—44no—
1166C4⋊C4—44no—
1167C4⋊C4—44no—
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—28no—
1183C22⋊C4—28no—
1184C22⋊C4—28no—
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—
1210C22⋊C4—44no—
1211C22⋊C4—44no—
1212C22⋊C4—44no—
1213C22⋊C4C2×#41116yescomplemented
1214C42—28no—
1215C42—28no—
1216C42—44no—
1217C42—44no—
1218C42—44no—
1219C42—44no—
1220C42—44no—
1221C42—44no—
1222C42—44no—
1223C42—44no—
1224C23—22no—
1225C23—22no—
1226C23—22no—
1227C23—22no—
1228C23—28no—
1229C23—28no—
1230C23—28no—
1231C23—28no—
1232C23—28no—
1233C23—28no—
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—22no—
1253C23—22no—
1254C23—22no—
1255C23—22no—
1256C23—22no—
1257C23—22no—
1258C23—22no—
1259C23—22no—
1260C23—22no—
1261C23—22no—
1262C23—22no—
1263C23—22no—
1264C23—22no—
1265C23—22no—
1266C23—416no—
1267C23—416no—
1268C23—416no—
1269C23—44no—
1270C23—44no—
1271C23—44no—
1272C23—44no—
1273C23—44no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—44no—
1278C23—416no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23—44no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—44no—
1288C23—44no—
1289C23—44no—
1290C23—44no—
1291C23—44no—
1292C23—88no—
1293C23—88no—
1294C23—88no—
1295C23—864no—
1296C23#538116yes—
1297C23C22×#4114yes—
1298C23C22×#4114yes—
1299C23C22×#4114yes—
1300C23C22×#4112yes—
1301C23C22×#4112yes—
1302C23C2×H(5,𝔽2)14yes—
1303C23C2×H(5,𝔽2)14yes—
1304C23C2×H(5,𝔽2)12yes—
1305C23C2×H(5,𝔽2)12yes—
1306C23#58512yes—
1307C23#58512yes—
1308C23#58512yes—
1309C23C2611yescharacteristic
1310Q8—416no—
1311Q8—88no—
1312D4—232no—
1313D4—416no—
1314D4—416no—
1315D4—416no—
1316D4—88no—
1317D4—88no—
1318D4—88no—
1319C2×C4—22no—
1320C2×C4—22no—
1321C2×C4—22no—
1322C2×C4—22no—
1323C2×C4—22no—
1324C2×C4—22no—
1325C2×C4—28no—
1326C2×C4—28no—
1327C2×C4—28no—
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—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—22no—
1397C2×C4—416no—
1398C2×C4—416no—
1399C2×C4—416no—
1400C2×C4—416no—
1401C2×C4—416no—
1402C2×C4—416no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—416no—
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—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—88no—
1428C2×C4—88no—
1429C2×C4—88no—
1430C2×C4—88no—
1431C2×C4—88no—
1432C2×C4C22×#4114yes—
1433C2×C4C22×#4114yes—
1434C2×C4C22×#4114yes—
1435C22—232no—
1436C22—24no—
1437C22—24no—
1438C22—24no—
1439C22—24no—
1440C22—24no—
1441C22—24no—
1442C22—24no—
1443C22—24no—
1444C22—24no—
1445C22—24no—
1446C22—24no—
1447C22—24no—
1448C22—416no—
1449C22—416no—
1450C22—42no—
1451C22—42no—
1452C22—42no—
1453C22—42no—
1454C22—42no—
1455C22—42no—
1456C22—42no—
1457C22—42no—
1458C22—42no—
1459C22—42no—
1460C22—42no—
1461C22—42no—
1462C22—42no—
1463C22—42no—
1464C22—42no—
1465C22—42no—
1466C22—42no—
1467C22—42no—
1468C22—42no—
1469C22—42no—
1470C22—42no—
1471C22—42no—
1472C22—832no—
1473C22—88no—
1474C22—88no—
1475C22C2×#53818yes—
1476C22C2×#53814yes—
1477C22#347514yes—
1478C22#351314yes—
1479C22#351314yes—
1480C22#352114yes—
1481C22#353314yes—
1482C22#354514yes—
1483C22C23×#4111yescharacteristic
1484C22C23×#4111yescharacteristic
1485C22C22×H(5,𝔽2)11yescharacteristic
1486C22C22×H(5,𝔽2)11yescharacteristic
1487C22C2×#58511yescharacteristic
1488C22C2×#58511yescharacteristic
1489C22C2×#58511yescharacteristic
1490C4—24no—
1491C4—24no—
1492C4—24no—
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—
1512C4—42no—
1513C4—42no—
1514C4—42no—
1515C4—42no—
1516C2—28no—
1517C2—44no—
1518C2—44no—
1519C2—82no—
1520C2—82no—
1521C2#3814418yesdirect product factor
1522C2C22×#53811yescharacteristic
1523C2C2×#347511yescharacteristic
1524C2C2×#353311yescharacteristic
1525C2C2×#354511yescharacteristic
1526C2C2×#351311yescharacteristic
1527C2C2×#351311yescharacteristic
1528C2C2×#352111yescharacteristic
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×#2781C2semidirect
2. C2×#2778C2semidirect
3. C2×#2759C2semidirect
4. C2×#2753C2semidirect
5. C2×#2751C2semidirect
6. C2×#2750C2semidirect
7. C2×#2750C2semidirect
8. C2×#2745C2semidirect
9. #38144C2direct (N × H)
10. C2×#2853C2semidirect
11. C2×#2597C2semidirect
12. C2×#2574C2semidirect
13. C2×#2534C2semidirect
14. C2×#2503C2semidirect
15. C2×#2510C2semidirect
16. C2×#2510C2semidirect
17. C2×#2493C2semidirect
18. C2×#2483C2semidirect
19. C2×#2406C2semidirect
21. C2×#2450C2semidirect
22. C2×#2459C2semidirect
23. C2×#2472C2semidirect
24. C2×#2412C2semidirect
25. C2×#2650C2semidirect
26. C2×#2648C2semidirect
27. C2×#2358C2semidirect
28. C2×#2339C2semidirect
29. C2×#2337C2semidirect
30. C2×#2318C2semidirect
31. C2×C4×#123C2semidirect
32. C22×#388C2semidirect
49. #2853C22semidirect
50. #2781C22semidirect
51. #2778C22semidirect
52. #2759C22semidirect
53. #2753C22semidirect
54. #2751C22semidirect
55. #2750C22semidirect
56. #2750C22semidirect
57. #2745C22semidirect
58. #2650C22semidirect
59. #2648C22semidirect
60. #2597C22semidirect
61. #2574C22semidirect
62. #2534C22semidirect
63. #2510C22semidirect
64. #2510C22semidirect
65. #2503C22semidirect
66. #2493C22semidirect
67. #2483C22semidirect
68. #2472C22semidirect
69. #2459C22semidirect
70. #2450C22semidirect
71. #2412C22semidirect
72. #2406C22semidirect
74. C2×#401C22semidirect
75. C2×#401C22semidirect
76. C2×#400C22semidirect
77. C2×#400C22semidirect
78. C2×#400C22semidirect
79. C2×#400C22semidirect
80. C2×#400C22semidirect
81. C2×#400C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#398C22semidirect
93. C2×#397C22semidirect
94. C2×#397C22semidirect
97. C2×#396C22semidirect
98. C2×#395C22semidirect
99. C2×#395C22semidirect
106. C2×#394C22semidirect
107. C2×#394C22semidirect
111. C2×#393C22semidirect
114. #2358C22semidirect
115. #2339C22semidirect
116. #2337C22semidirect
117. #2318C22semidirect
118. C4×#123C22semidirect
119. C2×#391C22semidirect
120. C2×#391C22semidirect
121. C2×#391C22semidirect
122. C2×#391C22semidirect
123. C2×#391C22semidirect
140. C2×#388C22semidirect
141. C2×#388C22semidirect
142. C2×#388C22semidirect
143. C2×#388C22semidirect
144. C2×#388C22semidirect
145. C2×#388C22semidirect
146. C2×#388C22semidirect
147. C2×#388C22semidirect
148. C2×#388C22semidirect
149. C2×#387C22semidirect
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
176. C2×#386C22semidirect
177. C2×#386C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#383C22semidirect
191. C2×#383C22semidirect
192. C2×#382C22semidirect
193. C2×#382C22semidirect
201. C2×#381C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
208. C2×C4×C4⋊C4C22semidirect
209. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C22⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
218. C22×#95C22semidirect
354. #401C23semidirect
355. #401C23semidirect
356. #400C23semidirect
357. #400C23semidirect
358. #400C23semidirect
359. #400C23semidirect
360. #400C23semidirect
361. #400C23semidirect
362. #400C23semidirect
363. #400C23semidirect
364. #400C23semidirect
365. #398C23semidirect
373. #397C23semidirect
374. #397C23semidirect
377. #396C23semidirect
378. #395C23semidirect
379. #395C23semidirect
386. #394C23semidirect
387. #394C23semidirect
391. #393C23semidirect
394. #391C23semidirect
395. #391C23semidirect
396. #391C23semidirect
397. #391C23semidirect
398. #391C23semidirect
415. #388C23semidirect
416. #388C23semidirect
417. #388C23semidirect
418. #388C23semidirect
419. #388C23semidirect
420. #388C23semidirect
421. #388C23semidirect
422. #388C23semidirect
423. #387C23semidirect
424. #387C23semidirect
425. #387C23semidirect
426. #387C23semidirect
427. #387C23semidirect
428. #387C23semidirect
429. #387C23semidirect
430. #387C23semidirect
431. #387C23semidirect
432. #387C23semidirect
433. #387C23semidirect
450. #386C23semidirect
451. #386C23semidirect
459. #385C23semidirect
460. #385C23semidirect
461. #385C23semidirect
462. #385C23semidirect
463. #385C23semidirect
464. #383C23semidirect
465. #383C23semidirect
466. #382C23semidirect
467. #382C23semidirect
475. #381C23semidirect
479. #380C23semidirect
480. #380C23semidirect
482. C4×C4⋊C4C23semidirect
483. C4×C4⋊C4C23semidirect
487. C4×C22⋊C4C23semidirect
488. C4×C22⋊C4C23semidirect
489. C4×C22⋊C4C23semidirect
546. C2×#95C23semidirect
779. C2×C22⋊C4#41semidirect
1213. C22⋊C4C2×#41semidirect
1521. C2#38144direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#27812
C2×#27782
C2×#27592
C2×#27532
C2×#27512
C2×#27502
C2×#27452
#381442
C2×#28532
C2×#25972
C2×#25742
C2×#25342
C2×#25032
C2×#25102
C2×#24932
C2×#24832
C2×#24062
C2×#24042
C2×#24502
C2×#24592
C2×#24722
C2×#24122
C2×#26502
C2×#26482
C2×#23582
C2×#23392
C2×#23372
C2×#23182
C2×C4×#1232
C22×#3882