Finite Group Databasebeta

← C2×#38096 #7635366

Subgroups — C2×#38096 #7635366

Order 512.

8090 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2804C211yesmaximal, characteristic, complemented
2C2×#2784C211yesmaximal, characteristic, complemented
3C2×#2780C211yesmaximal, characteristic, complemented
4C2×#2780C211yesmaximal, characteristic, complemented
5C2×#2780C211yesmaximal, characteristic, complemented
6C2×#2748C211yesmaximal, characteristic, complemented
7C2×#2732C211yesmaximal, characteristic, complemented
8C2×#2692C211yesmaximal, characteristic, complemented
9#38096C2132yesmaximal, direct product factor
10C2×#2848C211yesmaximal, characteristic, complemented
11C2×#2569C211yesmaximal, characteristic, complemented
12C2×#2564C211yesmaximal, characteristic, complemented
13C2×#2579C211yesmaximal, characteristic, complemented
14C2×#2549C211yesmaximal, characteristic, complemented
15C2×#2487C211yesmaximal, characteristic, complemented
16C2×#2417C211yesmaximal, characteristic, complemented
17C2×#2450C211yesmaximal, characteristic, complemented
18C2×#2450C211yesmaximal, characteristic, complemented
19C2×#2450C211yesmaximal, characteristic, complemented
20C2×#2449C211yesmaximal, characteristic, complemented
21C2×#2437C211yesmaximal, characteristic, complemented
22C2×#2437C211yesmaximal, characteristic, complemented
23C2×#2437C211yesmaximal, characteristic, complemented
24C2×#2437C211yesmaximal, characteristic, complemented
25C2×#2646C211yesmaximal, characteristic, complemented
26C2×#2626C211yesmaximal, characteristic, complemented
27C2×D4×C22⋊C4C211yesmaximal, characteristic
28C2×D4×C22⋊C4C211yesmaximal, characteristic
29C2×#2329C211yesmaximal, characteristic, complemented
30C2×#2315C211yesmaximal, characteristic, complemented
31C22×#386C211yesmaximal, characteristic
32C22×#385C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C25×C4C2211yescharacteristic
35C22×C22⋊Q8C2211yescharacteristic
36C22×C22⋊Q8C2211yescharacteristic
37C22×C22⋊Q8C2211yescharacteristic
38C22×C22⋊Q8C2211yescharacteristic, complemented
39C22×C22⋊Q8C2211yescharacteristic, complemented
40C22×C22⋊Q8C2211yescharacteristic, complemented
41C22×C22⋊Q8C2211yescharacteristic, complemented
42C22×C22⋊Q8C2211yescharacteristic, complemented
43C22×C22⋊Q8C2211yescharacteristic, complemented
44C22×C4×D4C2211yescharacteristic
45C22×C4×D4C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48C23×C4⋊C4C2211yescharacteristic, complemented
49C23×C4⋊C4C2211yescharacteristic, complemented
50C23×C22⋊C4C2211yescharacteristic
51C23×C22⋊C4C2211yescharacteristic
52C23×C22⋊C4C2211yescharacteristic
53C23×C22⋊C4C2211yescharacteristic
54C23×C22⋊C4C2211yescharacteristic
55C23×C22⋊C4C2211yescharacteristic
56C23×C22⋊C4C2211yescharacteristic
57#2848C22116yescomplemented
58#2804C22116yescomplemented
59#2784C22116yescomplemented
60#2780C22116yescomplemented
61#2780C22116yescomplemented
62#2780C22116yescomplemented
63#2748C22116yescomplemented
64#2732C22116yescomplemented
65#2692C22116yescomplemented
66#2646C22116yescomplemented
67#2626C22116yescomplemented
68#2579C22116yescomplemented
69#2569C22116yescomplemented
70#2564C22116yescomplemented
71#2549C22116yescomplemented
72#2487C22116yescomplemented
73#2450C22116yescomplemented
74#2450C22116yescomplemented
75#2450C22116yescomplemented
76#2449C22116yescomplemented
77#2437C22116yescomplemented
78#2437C22116yescomplemented
79#2437C22116yescomplemented
80#2437C22116yescomplemented
81#2417C22116yescomplemented
82C2×#400C2211yescharacteristic, complemented
83C2×#400C2211yescharacteristic, complemented
84C2×#400C2211yescharacteristic, complemented
85C2×#400C2211yescharacteristic, complemented
86C2×#400C2211yescharacteristic, complemented
87C2×#400C2211yescharacteristic, complemented
88C2×#399C2211yescharacteristic, complemented
89C2×#399C2211yescharacteristic, complemented
90C2×#399C2211yescharacteristic, complemented
91C2×#399C2211yescharacteristic, complemented
92C2×#399C2211yescharacteristic, complemented
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×#396C2211yescharacteristic, complemented
103C2×#396C2211yescharacteristic, complemented
104C2×#396C2211yescharacteristic, complemented
105C2×#396C2211yescharacteristic, complemented
106C2×#396C2211yescharacteristic, complemented
107C2×#396C2211yescharacteristic, complemented
108C2×#396C2211yescharacteristic, complemented
109C2×#396C2211yescharacteristic, complemented
110C2×#396C2211yescharacteristic, complemented
111C2×#396C2211yescharacteristic, complemented
112C2×#396C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic, complemented
114C2×#395C2211yescharacteristic, complemented
115C2×#395C2211yescharacteristic, complemented
116C2×#393C2211yescharacteristic, complemented
117C2×#393C2211yescharacteristic, complemented
118C2×#393C2211yescharacteristic, complemented
119C2×#393C2211yescharacteristic, complemented
120C2×#393C2211yescharacteristic, complemented
121C2×#393C2211yescharacteristic, complemented
122D4×C22⋊C4C22116yes—
123D4×C22⋊C4C22116yes—
124#2329C22116yescomplemented
125#2315C22116yescomplemented
126C2×#391C2211yescharacteristic, complemented
127C2×#391C2211yescharacteristic, complemented
128C2×#391C2211yescharacteristic, complemented
129C2×#391C2211yescharacteristic, complemented
130C2×#390C2211yescharacteristic
131C2×#390C2211yescharacteristic
132C2×#390C2211yescharacteristic
133C2×#390C2211yescharacteristic
134C2×#389C2211yescharacteristic, complemented
135C2×#389C2211yescharacteristic, complemented
136C2×#389C2211yescharacteristic, complemented
137C2×#389C2211yescharacteristic, complemented
138C2×#387C2211yescharacteristic, complemented
139C2×#387C2211yescharacteristic, complemented
140C2×#387C2211yescharacteristic, complemented
141C2×#387C2211yescharacteristic, complemented
142C2×#387C2211yescharacteristic, complemented
143C2×#387C2211yescharacteristic, complemented
144C2×#387C2211yescharacteristic, complemented
145C2×#387C2211yescharacteristic, complemented
146C2×#386C2211yescharacteristic
147C2×#386C2211yescharacteristic
148C2×#386C2211yescharacteristic
149C2×#386C2211yescharacteristic
150C2×#386C2211yescharacteristic
151C2×#386C2211yescharacteristic
152C2×#386C2211yescharacteristic
153C2×#386C2211yescharacteristic
154C2×#386C2211yescharacteristic
155C2×#386C2211yescharacteristic
156C2×#386C2211yescharacteristic
157C2×#386C2211yescharacteristic
158C2×#386C2211yescharacteristic
159C2×#386C2211yescharacteristic
160C2×#386C2211yescharacteristic
161C2×#386C22116yes—
162C2×#386C2211yescharacteristic
163C2×#385C2211yescharacteristic
164C2×#385C2211yescharacteristic
165C2×#385C2211yescharacteristic
166C2×#385C2211yescharacteristic
167C2×#385C2211yescharacteristic
168C2×#385C2211yescharacteristic
169C2×#385C2211yescharacteristic
170C2×#385C2211yescharacteristic
171C2×#385C2211yescharacteristic
172C2×#385C2211yescharacteristic
173C2×#385C2211yescharacteristic, complemented
174C2×#385C2211yescharacteristic, complemented
175C2×#385C2211yescharacteristic, complemented
176C2×#385C2211yescharacteristic, complemented
177C2×#385C2211yescharacteristic, complemented
178C2×#385C2211yescharacteristic, complemented
179C2×#385C2211yescharacteristic, complemented
180C2×#385C2211yescharacteristic, complemented
181C2×#385C2211yescharacteristic, complemented
182C2×#385C2211yescharacteristic, complemented
183C2×#385C2211yescharacteristic, complemented
184C2×#385C2211yescharacteristic, complemented
185C2×#385C2211yescharacteristic, complemented
186C2×#385C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic, complemented
188C2×#385C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic, complemented
191C2×#385C2211yescharacteristic, complemented
192C2×#385C2211yescharacteristic, complemented
193C2×#385C22116yescomplemented
194C2×#380C2211yescharacteristic
195C2×#380C2211yescharacteristic
196C2×#380C2211yescharacteristic
197C2×#380C2211yescharacteristic
198C2×#380C2211yescharacteristic
199C2×#380C2211yescharacteristic, complemented
200C2×#380C2211yescharacteristic, complemented
201C2×#380C2211yescharacteristic, complemented
202C2×#380C2211yescharacteristic, complemented
203C2×#380C2211yescharacteristic, complemented
204C2×#380C2211yescharacteristic, complemented
205C2×#380C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic
215C22×#95C2211yescharacteristic
216C22×#95C2211yescharacteristic
217C22×#95C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic, complemented
219C26C2311yescharacteristic
220C26C2311yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4—44no—
225C23×D4—44no—
226C23×D4Q8116yescomplemented
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2318yes—
232C24×C4—44no—
233C24×C4—44no—
234C24×C4—44no—
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2318yes—
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C2×C22⋊Q8—28no—
254C2×C22⋊Q8—44no—
255C2×C22⋊Q8—44no—
256C2×C22⋊Q8—44no—
257C2×C22⋊Q8—44no—
258C2×C22⋊Q8—44no—
259C2×C22⋊Q8—44no—
260C2×C22⋊Q8—44no—
261C2×C22⋊Q8—44no—
262C2×C22⋊Q8C2318yes—
263C2×C22⋊Q8C2318yes—
264C2×C22⋊Q8C2318yes—
265C2×C22⋊Q8C2318yescomplemented
266C2×C22⋊Q8C2318yescomplemented
267C2×C22⋊Q8C2318yescomplemented
268C2×C22⋊Q8C2318yescomplemented
269C2×C22⋊Q8C2318yescomplemented
270C2×C22⋊Q8C2318yescomplemented
271C2×C4×D4—44no—
272C2×C4×D4—44no—
273C2×C4×D4—44no—
274C2×C4×D4—44no—
275C2×C4×D4C2318yes—
276C2×C4×D4C2318yes—
277C2×C4×D4C2318yes—
278C2×C4×D4C2318yes—
279C22×C4⋊C4—44no—
280C22×C4⋊C4—44no—
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⋊C4C2311yescharacteristic
312C22×C4⋊C4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C4⋊C4C2311yescharacteristic
316C22×C4⋊C4C2311yescharacteristic
317C22×C4⋊C4C2311yescharacteristic
318C22×C4⋊C4C2311yescharacteristic
319C22×C4⋊C4C2311yescharacteristic
320C22×C4⋊C4C2318yescomplemented
321C22×C4⋊C4C2318yescomplemented
322C22×C22⋊C4—28no—
323C22×C22⋊C4—28no—
324C22×C22⋊C4—44no—
325C22×C22⋊C4—44no—
326C22×C22⋊C4—44no—
327C22×C22⋊C4—44no—
328C22×C22⋊C4—44no—
329C22×C22⋊C4C2318yes—
330C22×C22⋊C4C2318yes—
331C22×C22⋊C4C2311yescharacteristic
332C22×C22⋊C4C2311yescharacteristic
333C22×C22⋊C4C2311yescharacteristic
334C22×C22⋊C4C2311yescharacteristic
335C22×C22⋊C4C2311yescharacteristic
336C22×C22⋊C4C2311yescharacteristic
337C22×C22⋊C4C2311yescharacteristic
338C22×C22⋊C4C2311yescharacteristic
339C22×C22⋊C4C2311yescharacteristic
340C22×C22⋊C4C2311yescharacteristic
341C22×C22⋊C4C2311yescharacteristic
342C22×C22⋊C4C2311yescharacteristic
343C22×C22⋊C4C2311yescharacteristic
344C22×C22⋊C4C2311yescharacteristic
345C22×C22⋊C4C2311yescharacteristic
346C22×C22⋊C4C2311yescharacteristic
347C22×C22⋊C4C2311yescharacteristic
348C22×C22⋊C4C2311yescharacteristic
349C22×C22⋊C4C2311yescharacteristic
350C22×C22⋊C4C2318yes—
351C22×C22⋊C4C2318yes—
352C22×C22⋊C4C2318yes—
353C22×C22⋊C4C2311yescharacteristic
354C22×C22⋊C4C2311yescharacteristic
355C22×C22⋊C4C2311yescharacteristic
356C22×C22⋊C4C2311yescharacteristic
357C22×C22⋊C4C2311yescharacteristic
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2318yes—
378C22×C22⋊C4C2318yes—
379C22×C22⋊C4C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384#400C2318yescomplemented
385#400C2318yescomplemented
386#400C2318yescomplemented
387#400C2318yescomplemented
388#400C2318yescomplemented
389#400C2318yescomplemented
390#399C2318yescomplemented
391#399C2318yescomplemented
392#399C2318yescomplemented
393#399C2318yescomplemented
394#399C2318yescomplemented
395#399C2318yescomplemented
396#398C2318yescomplemented
397#398C2318yescomplemented
398#398C2318yescomplemented
399#398C2318yescomplemented
400#398C2318yescomplemented
401#398C2318yescomplemented
402#398C2318yescomplemented
403#398C2318yescomplemented
404#396C2318yescomplemented
405#396C2318yescomplemented
406#396C2318yescomplemented
407#396C2318yescomplemented
408#396C2318yescomplemented
409#396C2318yescomplemented
410#396C2318yescomplemented
411#396C2318yescomplemented
412#396C2318yescomplemented
413#396C2318yescomplemented
414#396C2318yescomplemented
415#396C2318yescomplemented
416#395C2318yescomplemented
417#395C2318yescomplemented
418#393C2318yescomplemented
419#393C2318yescomplemented
420#393C2318yescomplemented
421#393C2318yescomplemented
422#393C2318yescomplemented
423#393C2318yescomplemented
424#391C2318yescomplemented
425#391C2318yescomplemented
426#391C2318yescomplemented
427#391C2318yescomplemented
428#390C2318yes—
429#390C2318yes—
430#390C2318yes—
431#390C2318yes—
432#389C2318yescomplemented
433#389C2318yescomplemented
434#389C2318yescomplemented
435#389C2318yescomplemented
436#387C2318yescomplemented
437#387C2318yescomplemented
438#387C2318yescomplemented
439#387C2318yescomplemented
440#387C2318yescomplemented
441#387C2318yescomplemented
442#387C2318yescomplemented
443#387C2318yescomplemented
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#386C2318yes—
457#386C2318yes—
458#386C2318yes—
459#386C2318yes—
460#385C2318yes—
461#385C2318yes—
462#385C2318yes—
463#385C2318yes—
464#385C2318yes—
465#385C2318yes—
466#385C2318yes—
467#385C2318yes—
468#385C2318yes—
469#385C2318yes—
470#385C2318yescomplemented
471#385C2318yescomplemented
472#385C2318yescomplemented
473#385C2318yescomplemented
474#385C2318yescomplemented
475#385C2318yescomplemented
476#385C2318yescomplemented
477#385C2318yescomplemented
478#385C2318yescomplemented
479#385C2318yescomplemented
480#385C2318yescomplemented
481#385C2318yescomplemented
482#385C2318yescomplemented
483#385C2318yescomplemented
484#385C2318yescomplemented
485#385C2318yescomplemented
486#385C2318yescomplemented
487#385C2318yescomplemented
488#385C2318yescomplemented
489#385C2318yescomplemented
490#380C2318yes—
491#380C2318yes—
492#380C2318yes—
493#380C2318yes—
494#380C2318yes—
495#380C2318yescomplemented
496#380C2318yescomplemented
497#380C2318yescomplemented
498#380C2318yescomplemented
499#380C2318yescomplemented
500#380C2318yescomplemented
501#380C2318yescomplemented
502#380C2318yescomplemented
503#380C2318yescomplemented
504#380C2318yescomplemented
505#379C2318yes—
506#379C2318yes—
507#379C2318yes—
508#379C2318yes—
509C4×C22⋊C4C2318yes—
510C4×C22⋊C4C2318yes—
511C2×#95C2318yes—
512C2×#95C2318yes—
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×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2318yescomplemented
556C2×#95C2318yescomplemented
557C25—24no—
558C25—24no—
559C25—24no—
560C25—24no—
561C25—24no—
562C25—24no—
563C25—42no—
564C25—42no—
565C25—42no—
566C25—42no—
567C25—42no—
568C25—42no—
569C25C2×Q818yes—
570C25C2×Q818yes—
571C25C2411yescharacteristic
572C25C2411yescharacteristic
573C25C2411yescharacteristic
574C25C2414yes—
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2414yes—
578C22×Q8—24no—
579C22×Q8—24no—
580C22×Q8—42no—
581C22×Q8—42no—
582C22×Q8—42no—
583C22×Q8—42no—
584C22×Q8—42no—
585C22×Q8—42no—
586C22×Q8—42no—
587C22×Q8C2414yes—
588C22×Q8C2414yes—
589C22×Q8C2414yes—
590C22×D4—24no—
591C22×D4—24no—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—42no—
595C22×D4—42no—
596C22×D4—42no—
597C22×D4—42no—
598C22×D4—464no—
599C22×D4—416no—
600C22×D4—416no—
601C22×D4C2×Q818yes—
602C22×D4C2×Q818yes—
603C22×D4C2×Q818yes—
604C22×D4C2×Q818yes—
605C22×D4C2×Q8164yescomplemented
606C22×D4C2414yes—
607C22×D4C2414yes—
608C22×D4C2414yes—
609C22×D4C2414yes—
610C23×C4—24no—
611C23×C4—24no—
612C23×C4—24no—
613C23×C4—24no—
614C23×C4—24no—
615C23×C4—24no—
616C23×C4—24no—
617C23×C4—24no—
618C23×C4—24no—
619C23×C4—24no—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—416no—
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×C4—42no—
637C23×C4—416no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—416no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4—42no—
658C23×C4—42no—
659C23×C4—42no—
660C23×C4—42no—
661C23×C4—42no—
662C23×C4—42no—
663C23×C4—464no—
664C23×C4C2×Q818yes—
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2414yes—
687C23×C4C2414yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2414yes—
696C23×C4C2414yes—
697C23×C4C2414yes—
698C23×C4C2414yes—
699C23×C4C2414yes—
700C23×C4C2414yes—
701C23×C4C2414yes—
702C23×C4C2414yes—
703C23×C4C2414yes—
704C23×C4C2414yes—
705C23×C4C2414yes—
706C23×C4C2414yes—
707C23×C4C2414yes—
708C22⋊Q8—232no—
709C22⋊Q8—416no—
710C22⋊Q8—416no—
711C22⋊Q8—416no—
712C22⋊Q8—416no—
713C22⋊Q8—416no—
714C22⋊Q8—416no—
715C22⋊Q8—416no—
716C22⋊Q8—416no—
717C4×D4—416no—
718C4×D4—416no—
719C4×D4—416no—
720C4×D4—416no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—24no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—24no—
726C2×C4⋊C4—24no—
727C2×C4⋊C4—416no—
728C2×C4⋊C4—42no—
729C2×C4⋊C4—42no—
730C2×C4⋊C4—42no—
731C2×C4⋊C4—42no—
732C2×C4⋊C4—42no—
733C2×C4⋊C4—42no—
734C2×C4⋊C4—416no—
735C2×C4⋊C4—42no—
736C2×C4⋊C4—42no—
737C2×C4⋊C4—42no—
738C2×C4⋊C4—42no—
739C2×C4⋊C4—42no—
740C2×C4⋊C4—42no—
741C2×C4⋊C4—42no—
742C2×C4⋊C4—42no—
743C2×C4⋊C4—42no—
744C2×C4⋊C4—42no—
745C2×C4⋊C4—42no—
746C2×C4⋊C4—42no—
747C2×C4⋊C4—42no—
748C2×C4⋊C4—42no—
749C2×C4⋊C4—42no—
750C2×C4⋊C4—42no—
751C2×C4⋊C4—42no—
752C2×C4⋊C4—42no—
753C2×C4⋊C4—42no—
754C2×C4⋊C4—42no—
755C2×C4⋊C4—42no—
756C2×C4⋊C4—42no—
757C2×C4⋊C4—42no—
758C2×C4⋊C4—42no—
759C2×C4⋊C4—42no—
760C2×C4⋊C4—42no—
761C2×C4⋊C4—42no—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×C4⋊C4C2414yes—
770C2×C4⋊C4C2414yes—
771C2×C4⋊C4C2414yes—
772C2×C4⋊C4C2414yes—
773C2×C4⋊C4C2414yes—
774C2×C4⋊C4C2414yes—
775C2×C4⋊C4C2414yes—
776C2×C4⋊C4C2414yes—
777C2×C4⋊C4C2414yes—
778C2×C4⋊C4C2414yes—
779C2×C4⋊C4C2414yes—
780C2×C4⋊C4C2414yes—
781C2×C4⋊C4C2414yes—
782C2×C4⋊C4C2414yes—
783C2×C4⋊C4C2414yes—
784C2×C4⋊C4C2414yes—
785C2×C4⋊C4C2414yes—
786C2×C4⋊C4C2414yes—
787C2×C4⋊C4C2414yes—
788C2×C4⋊C4C2414yes—
789C2×C4⋊C4C2414yes—
790C2×C4⋊C4C2414yes—
791C2×C4⋊C4C2414yes—
792C2×C4⋊C4C2414yes—
793C2×C4⋊C4C2414yes—
794C2×C4⋊C4C2414yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C22⋊C4—24no—
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4—24no—
807C2×C22⋊C4—24no—
808C2×C22⋊C4—24no—
809C2×C22⋊C4—24no—
810C2×C22⋊C4—24no—
811C2×C22⋊C4—24no—
812C2×C22⋊C4—24no—
813C2×C22⋊C4—24no—
814C2×C22⋊C4—24no—
815C2×C22⋊C4—24no—
816C2×C22⋊C4—24no—
817C2×C22⋊C4—24no—
818C2×C22⋊C4—24no—
819C2×C22⋊C4—24no—
820C2×C22⋊C4—232no—
821C2×C22⋊C4—232no—
822C2×C22⋊C4—416no—
823C2×C22⋊C4—416no—
824C2×C22⋊C4—416no—
825C2×C22⋊C4—416no—
826C2×C22⋊C4—42no—
827C2×C22⋊C4—42no—
828C2×C22⋊C4—42no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—42no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—416no—
839C2×C22⋊C4—42no—
840C2×C22⋊C4—42no—
841C2×C22⋊C4—42no—
842C2×C22⋊C4—42no—
843C2×C22⋊C4—42no—
844C2×C22⋊C4—42no—
845C2×C22⋊C4—42no—
846C2×C22⋊C4—42no—
847C2×C22⋊C4—42no—
848C2×C22⋊C4—42no—
849C2×C22⋊C4—42no—
850C2×C22⋊C4—42no—
851C2×C22⋊C4#4118yes—
852C2×C22⋊C4C2414yes—
853C2×C22⋊C4C2414yes—
854C2×C22⋊C4C2414yes—
855C2×C22⋊C4C2414yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2414yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2414yes—
861C2×C22⋊C4C2414yes—
862C2×C22⋊C4C2414yes—
863C2×C22⋊C4C2414yes—
864C2×C22⋊C4C2414yes—
865C2×C22⋊C4C2414yes—
866C2×C22⋊C4C2414yes—
867C2×C22⋊C4C2414yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2414yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2414yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2414yes—
883C2×C22⋊C4C2414yes—
884C2×C22⋊C4C2414yes—
885C2×C22⋊C4C2414yes—
886C2×C22⋊C4C2414yes—
887C2×C22⋊C4C2414yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2414yes—
894C2×C22⋊C4C2414yes—
895C2×C22⋊C4C2414yes—
896C2×C42—42no—
897C2×C42—42no—
898C2×C42—42no—
899C2×C42—42no—
900C2×C42C2414yes—
901C2×C42C2414yes—
902C2×C42C2414yes—
903C2×C42C2414yes—
904#95C2414yes—
905#95C2414yes—
906#95C2414yes—
907#95C2414yes—
908#95C2414yes—
909#95C2414yes—
910#95C2414yes—
911#95C2414yes—
912#95C2414yes—
913#95C2414yes—
914#95C2414yes—
915#95C2414yes—
916#95C2414yes—
917#95C2414yes—
918#95C2414yes—
919#95C2414yes—
920#95C2414yes—
921#95C2414yes—
922#95C2414yes—
923#95C2414yes—
924#95C2414yes—
925#95C2414yes—
926#95C2414yes—
927#95C2414yes—
928#95C2414yes—
929#95C2414yes—
930#95C2414yes—
931#95C2414yes—
932#95C2414yes—
933#95C2414yes—
934#95C2414yes—
935#95C2414yes—
936#95C2414yes—
937#95C2414yes—
938#95C2414yes—
939#95C2414yes—
940#95C2414yes—
941#95C2414yes—
942#95C2414yes—
943#95C2414yes—
944#95C2414yes—
945#95C2414yes—
946C24—22no—
947C24—22no—
948C24—22no—
949C24—22no—
950C24—22no—
951C24—22no—
952C24—22no—
953C24—22no—
954C24—232no—
955C24—232no—
956C24—28no—
957C24—22no—
958C24—22no—
959C24—22no—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—28no—
965C24—22no—
966C24—22no—
967C24—28no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—28no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—232no—
979C24—28no—
980C24—28no—
981C24—44no—
982C24—416no—
983C24—44no—
984C24—44no—
985C24—416no—
986C24—44no—
987C24—44no—
988C24—416no—
989C24—44no—
990C24—416no—
991C24—416no—
992C24—416no—
993C24—416no—
994C24—88no—
995C24—88no—
996C24—88no—
997C24—88no—
998C24C22×Q814yes—
999C24C22×Q814yes—
1000C24C22×Q814yes—
1001C24C22×Q8116yes—
1002C24C22×Q814yes—
1003C24C22×Q814yes—
1004C24C22×Q8116yes—
1005C24C2×#4114yes—
1006C24H(5,𝔽2)14yes—
1007C24H(5,𝔽2)14yes—
1008C24H(5,𝔽2)14yes—
1009C24C2512yes—
1010C24C2512yes—
1011C24C2512yes—
1012C24C2512yes—
1013C24C2512yes—
1014C24C2511yescharacteristic
1015C2×Q8—28no—
1016C2×Q8—28no—
1017C2×Q8—44no—
1018C2×Q8—44no—
1019C2×Q8—44no—
1020C2×Q8—44no—
1021C2×Q8—44no—
1022C2×Q8—44no—
1023C2×Q8—44no—
1024C2×Q8—88no—
1025C2×Q8—88no—
1026C2×Q8—88no—
1027C2×D4—232no—
1028C2×D4—232no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—416no—
1034C2×D4—416no—
1035C2×D4—44no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—4128no—
1040C2×D4C22×Q8116yes—
1041C2×D4C22×Q8116yes—
1042C2×D4C22×Q8116yes—
1043C2×D4C22×Q8116yes—
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—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—28no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—28no—
1104C22×C4—28no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—28no—
1112C22×C4—28no—
1113C22×C4—28no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—28no—
1126C22×C4—28no—
1127C22×C4—28no—
1128C22×C4—28no—
1129C22×C4—28no—
1130C22×C4—28no—
1131C22×C4—28no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—44no—
1135C22×C4—44no—
1136C22×C4—44no—
1137C22×C4—44no—
1138C22×C4—44no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—416no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—44no—
1153C22×C4—44no—
1154C22×C4—44no—
1155C22×C4—44no—
1156C22×C4—44no—
1157C22×C4—44no—
1158C22×C4—44no—
1159C22×C4—44no—
1160C22×C4—44no—
1161C22×C4—44no—
1162C22×C4—44no—
1163C22×C4—44no—
1164C22×C4—44no—
1165C22×C4—44no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—416no—
1169C22×C4—416no—
1170C22×C4—416no—
1171C22×C4—416no—
1172C22×C4—416no—
1173C22×C4—416no—
1174C22×C4—416no—
1175C22×C4—4128no—
1176C22×C4—416no—
1177C22×C4—88no—
1178C22×C4—88no—
1179C22×C4—88no—
1180C22×C4—88no—
1181C22×C4—88no—
1182C22×C4—88no—
1183C22×C4—88no—
1184C22×C4—88no—
1185C22×C4C22×Q814yes—
1186C22×C4C22×Q814yes—
1187C22×C4C22×Q8116yes—
1188C22×C4C2×#4114yes—
1189C22×C4C2×#4114yes—
1190C22×C4H(5,𝔽2)14yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—44no—
1235C4⋊C4—44no—
1236C4⋊C4—44no—
1237C4⋊C4—44no—
1238C4⋊C4—44no—
1239C4⋊C4—44no—
1240C4⋊C4—44no—
1241C4⋊C4—44no—
1242C4⋊C4—44no—
1243C4⋊C4—44no—
1244C4⋊C4—44no—
1245C4⋊C4—44no—
1246C4⋊C4—44no—
1247C4⋊C4—44no—
1248C4⋊C4—44no—
1249C4⋊C4—44no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—44no—
1255C4⋊C4—44no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
1267C22⋊C4—28no—
1268C22⋊C4—28no—
1269C22⋊C4—28no—
1270C22⋊C4—28no—
1271C22⋊C4—28no—
1272C22⋊C4—28no—
1273C22⋊C4—28no—
1274C22⋊C4—28no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4—44no—
1282C22⋊C4—44no—
1283C22⋊C4—44no—
1284C22⋊C4—44no—
1285C22⋊C4—44no—
1286C22⋊C4—44no—
1287C22⋊C4—44no—
1288C22⋊C4—44no—
1289C22⋊C4—44no—
1290C22⋊C4—44no—
1291C22⋊C4—44no—
1292C22⋊C4—44no—
1293C22⋊C4—44no—
1294C22⋊C4—44no—
1295C22⋊C4—44no—
1296C22⋊C4—44no—
1297C22⋊C4—44no—
1298C22⋊C4—44no—
1299C22⋊C4C2×#41116yes—
1300C42—44no—
1301C42—44no—
1302C42—44no—
1303C42—44no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—28no—
1313C23—28no—
1314C23—28no—
1315C23—28no—
1316C23—28no—
1317C23—28no—
1318C23—28no—
1319C23—28no—
1320C23—28no—
1321C23—28no—
1322C23—28no—
1323C23—28no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—28no—
1343C23—28no—
1344C23—232no—
1345C23—28no—
1346C23—232no—
1347C23—28no—
1348C23—28no—
1349C23—28no—
1350C23—28no—
1351C23—28no—
1352C23—28no—
1353C23—232no—
1354C23—416no—
1355C23—416no—
1356C23—416no—
1357C23—416no—
1358C23—416no—
1359C23—416no—
1360C23—416no—
1361C23—4128no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—44no—
1366C23—44no—
1367C23—44no—
1368C23—44no—
1369C23—44no—
1370C23—44no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—88no—
1375C23—88no—
1376C23—88no—
1377C23—864no—
1378C23—88no—
1379C23#543116yes—
1380C23#554116yes—
1381C23C23×Q814yes—
1382C23C23×Q814yes—
1383C23C23×Q814yes—
1384C23C23×Q814yes—
1385C23C23×Q814yes—
1386C23C23×Q812yes—
1387C23C22×#4114yes—
1388C23C22×#4112yes—
1389C23C2×H(5,𝔽2)14yes—
1390C23C2×H(5,𝔽2)14yes—
1391C23C2×H(5,𝔽2)14yes—
1392C23C2×H(5,𝔽2)12yes—
1393C23C2×H(5,𝔽2)12yes—
1394C23C2×H(5,𝔽2)12yes—
1395C23C2×H(5,𝔽2)12yes—
1396C23#58512yes—
1397C23C2611yescharacteristic
1398Q8—88no—
1399Q8—88no—
1400Q8—88no—
1401D4—232no—
1402D4—232no—
1403D4—416no—
1404D4—416no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—28no—
1416C2×C4—28no—
1417C2×C4—28no—
1418C2×C4—28no—
1419C2×C4—28no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—416no—
1484C2×C4—416no—
1485C2×C4—416no—
1486C2×C4—416no—
1487C2×C4—416no—
1488C2×C4—416no—
1489C2×C4—416no—
1490C2×C4—416no—
1491C2×C4—416no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—44no—
1507C2×C4—44no—
1508C2×C4—44no—
1509C2×C4—44no—
1510C2×C4—44no—
1511C2×C4—44no—
1512C2×C4—44no—
1513C2×C4—88no—
1514C2×C4—88no—
1515C2×C4—88no—
1516C2×C4—88no—
1517C2×C4—88no—
1518C2×C4—88no—
1519C2×C4—88no—
1520C2×C4—88no—
1521C2×C4C23×Q814yes—
1522C2×C4C23×Q814yes—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4114yes—
1525C2×C4C2×H(5,𝔽2)14yes—
1526C22—24no—
1527C22—24no—
1528C22—24no—
1529C22—24no—
1530C22—24no—
1531C22—24no—
1532C22—24no—
1533C22—24no—
1534C22—24no—
1535C22—232no—
1536C22—232no—
1537C22—24no—
1538C22—24no—
1539C22—24no—
1540C22—24no—
1541C22—24no—
1542C22—24no—
1543C22—24no—
1544C22—24no—
1545C22—24no—
1546C22—24no—
1547C22—24no—
1548C22—24no—
1549C22—464no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22—416no—
1560C22—416no—
1561C22—416no—
1562C22—42no—
1563C22—42no—
1564C22—42no—
1565C22—832no—
1566C22C2×#54318yes—
1567C22C2×#54314yes—
1568C22C2×#55418yes—
1569C22C2×#55414yes—
1570C22#350114yes—
1571C22#351314yes—
1572C22#351914yes—
1573C22#353214yes—
1574C22#353414yes—
1575C22C24×Q811yescharacteristic
1576C22C23×#4111yescharacteristic
1577C22C22×H(5,𝔽2)11yescharacteristic
1578C22C22×H(5,𝔽2)11yescharacteristic
1579C22C22×H(5,𝔽2)11yescharacteristic
1580C22C22×H(5,𝔽2)11yescharacteristic
1581C22C2×#58511yescharacteristic
1582C4—24no—
1583C4—24no—
1584C4—24no—
1585C4—24no—
1586C4—24no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4—42no—
1597C4—42no—
1598C4—42no—
1599C4—42no—
1600C4—42no—
1601C4—42no—
1602C4—42no—
1603C4—42no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—42no—
1608C2—28no—
1609C2—28no—
1610C2—44no—
1611C2—44no—
1612C2—44no—
1613C2#3809618yesdirect product factor
1614C2C22×#54311yescharacteristic
1615C2C22×#55411yescharacteristic
1616C2C2×#353211yescharacteristic
1617C2C2×#353411yescharacteristic
1618C2C2×#350111yescharacteristic
1619C2C2×#351311yescharacteristic
1620C2C2×#351911yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC24×D4C22
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×#2804C2semidirect
2. C2×#2784C2semidirect
3. C2×#2780C2semidirect
4. C2×#2780C2semidirect
5. C2×#2780C2semidirect
6. C2×#2748C2semidirect
7. C2×#2732C2semidirect
8. C2×#2692C2semidirect
9. #38096C2direct (N × H)
10. C2×#2848C2semidirect
11. C2×#2569C2semidirect
12. C2×#2564C2semidirect
13. C2×#2579C2semidirect
14. C2×#2549C2semidirect
15. C2×#2487C2semidirect
16. C2×#2417C2semidirect
17. C2×#2450C2semidirect
18. C2×#2450C2semidirect
19. C2×#2450C2semidirect
20. C2×#2449C2semidirect
21. C2×#2437C2semidirect
22. C2×#2437C2semidirect
23. C2×#2437C2semidirect
24. C2×#2437C2semidirect
25. C2×#2646C2semidirect
26. C2×#2626C2semidirect
29. C2×#2329C2semidirect
30. C2×#2315C2semidirect
32. C22×#385C2semidirect
38. C22×C22⋊Q8C22semidirect
39. C22×C22⋊Q8C22semidirect
40. C22×C22⋊Q8C22semidirect
41. C22×C22⋊Q8C22semidirect
42. C22×C22⋊Q8C22semidirect
43. C22×C22⋊Q8C22semidirect
48. C23×C4⋊C4C22semidirect
49. C23×C4⋊C4C22semidirect
57. #2848C22semidirect
58. #2804C22semidirect
59. #2784C22semidirect
60. #2780C22semidirect
61. #2780C22semidirect
62. #2780C22semidirect
63. #2748C22semidirect
64. #2732C22semidirect
65. #2692C22semidirect
66. #2646C22semidirect
67. #2626C22semidirect
68. #2579C22semidirect
69. #2569C22semidirect
70. #2564C22semidirect
71. #2549C22semidirect
72. #2487C22semidirect
73. #2450C22semidirect
74. #2450C22semidirect
75. #2450C22semidirect
76. #2449C22semidirect
77. #2437C22semidirect
78. #2437C22semidirect
79. #2437C22semidirect
80. #2437C22semidirect
81. #2417C22semidirect
82. C2×#400C22semidirect
83. C2×#400C22semidirect
84. C2×#400C22semidirect
85. C2×#400C22semidirect
86. C2×#400C22semidirect
87. C2×#400C22semidirect
88. C2×#399C22semidirect
89. C2×#399C22semidirect
90. C2×#399C22semidirect
91. C2×#399C22semidirect
92. C2×#399C22semidirect
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×#396C22semidirect
103. C2×#396C22semidirect
104. C2×#396C22semidirect
105. C2×#396C22semidirect
106. C2×#396C22semidirect
107. C2×#396C22semidirect
108. C2×#396C22semidirect
109. C2×#396C22semidirect
110. C2×#396C22semidirect
111. C2×#396C22semidirect
112. C2×#396C22semidirect
113. C2×#396C22semidirect
114. C2×#395C22semidirect
115. C2×#395C22semidirect
116. C2×#393C22semidirect
117. C2×#393C22semidirect
118. C2×#393C22semidirect
119. C2×#393C22semidirect
120. C2×#393C22semidirect
121. C2×#393C22semidirect
124. #2329C22semidirect
125. #2315C22semidirect
126. C2×#391C22semidirect
127. C2×#391C22semidirect
128. C2×#391C22semidirect
129. C2×#391C22semidirect
134. C2×#389C22semidirect
135. C2×#389C22semidirect
136. C2×#389C22semidirect
137. C2×#389C22semidirect
138. C2×#387C22semidirect
139. C2×#387C22semidirect
140. C2×#387C22semidirect
141. C2×#387C22semidirect
142. C2×#387C22semidirect
143. C2×#387C22semidirect
144. C2×#387C22semidirect
145. C2×#387C22semidirect
173. C2×#385C22semidirect
174. C2×#385C22semidirect
175. C2×#385C22semidirect
176. C2×#385C22semidirect
177. C2×#385C22semidirect
178. C2×#385C22semidirect
179. C2×#385C22semidirect
180. C2×#385C22semidirect
181. C2×#385C22semidirect
182. C2×#385C22semidirect
183. C2×#385C22semidirect
184. C2×#385C22semidirect
185. C2×#385C22semidirect
186. C2×#385C22semidirect
187. C2×#385C22semidirect
188. C2×#385C22semidirect
189. C2×#385C22semidirect
190. C2×#385C22semidirect
191. C2×#385C22semidirect
192. C2×#385C22semidirect
193. C2×#385C22semidirect
199. C2×#380C22semidirect
200. C2×#380C22semidirect
201. C2×#380C22semidirect
202. C2×#380C22semidirect
203. C2×#380C22semidirect
204. C2×#380C22semidirect
205. C2×#380C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
217. C22×#95C22semidirect
218. C22×#95C22semidirect
226. C23×D4Q8semidirect
265. C2×C22⋊Q8C23semidirect
266. C2×C22⋊Q8C23semidirect
267. C2×C22⋊Q8C23semidirect
268. C2×C22⋊Q8C23semidirect
269. C2×C22⋊Q8C23semidirect
270. C2×C22⋊Q8C23semidirect
320. C22×C4⋊C4C23semidirect
321. C22×C4⋊C4C23semidirect
384. #400C23semidirect
385. #400C23semidirect
386. #400C23semidirect
387. #400C23semidirect
388. #400C23semidirect
389. #400C23semidirect
390. #399C23semidirect
391. #399C23semidirect
392. #399C23semidirect
393. #399C23semidirect
394. #399C23semidirect
395. #399C23semidirect
396. #398C23semidirect
397. #398C23semidirect
398. #398C23semidirect
399. #398C23semidirect
400. #398C23semidirect
401. #398C23semidirect
402. #398C23semidirect
403. #398C23semidirect
404. #396C23semidirect
405. #396C23semidirect
406. #396C23semidirect
407. #396C23semidirect
408. #396C23semidirect
409. #396C23semidirect
410. #396C23semidirect
411. #396C23semidirect
412. #396C23semidirect
413. #396C23semidirect
414. #396C23semidirect
415. #396C23semidirect
416. #395C23semidirect
417. #395C23semidirect
418. #393C23semidirect
419. #393C23semidirect
420. #393C23semidirect
421. #393C23semidirect
422. #393C23semidirect
423. #393C23semidirect
424. #391C23semidirect
425. #391C23semidirect
426. #391C23semidirect
427. #391C23semidirect
432. #389C23semidirect
433. #389C23semidirect
434. #389C23semidirect
435. #389C23semidirect
436. #387C23semidirect
437. #387C23semidirect
438. #387C23semidirect
439. #387C23semidirect
440. #387C23semidirect
441. #387C23semidirect
442. #387C23semidirect
443. #387C23semidirect
470. #385C23semidirect
471. #385C23semidirect
472. #385C23semidirect
473. #385C23semidirect
474. #385C23semidirect
475. #385C23semidirect
476. #385C23semidirect
477. #385C23semidirect
478. #385C23semidirect
479. #385C23semidirect
480. #385C23semidirect
481. #385C23semidirect
482. #385C23semidirect
483. #385C23semidirect
484. #385C23semidirect
485. #385C23semidirect
486. #385C23semidirect
487. #385C23semidirect
488. #385C23semidirect
489. #385C23semidirect
495. #380C23semidirect
496. #380C23semidirect
497. #380C23semidirect
498. #380C23semidirect
499. #380C23semidirect
500. #380C23semidirect
501. #380C23semidirect
502. #380C23semidirect
503. #380C23semidirect
504. #380C23semidirect
555. C2×#95C23semidirect
556. C2×#95C23semidirect
605. C22×D4C2×Q8semidirect
1613. C2#38096direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#28042
C2×#27842
C2×#27802
C2×#27482
C2×#27322
C2×#26922
#380962
C2×#28482
C2×#25692
C2×#25642
C2×#25792
C2×#25492
C2×#24872
C2×#24172
C2×#24502
C2×#24492
C2×#24372
C2×#26462
C2×#26262
C2×D4×C22⋊C42
C2×#23292
C2×#23152
C22×#3862
C22×#3852