Finite Group Databasebeta

← C2×#38429 #7635994

Subgroups — C2×#38429 #7635994

Order 512.

8140 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#552C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3C2×#2725C211yesmaximal, characteristic, complemented
4C2×#2707C211yesmaximal, characteristic, complemented
5C2×#2707C211yesmaximal, characteristic, complemented
6C2×#2705C211yesmaximal, characteristic, complemented
7C2×#2704C211yesmaximal, characteristic, complemented
8C2×#2702C211yesmaximal, characteristic, complemented
9C2×#2702C211yesmaximal, characteristic, complemented
10C2×#2681C211yesmaximal, characteristic, complemented
11#38429C2132yesmaximal, direct product factor
12C2×#2854C211yesmaximal, characteristic, complemented
13C2×#2592C211yesmaximal, characteristic, complemented
14C2×#2562C211yesmaximal, characteristic, complemented
15C2×#2601C211yesmaximal, characteristic, complemented
16C2×#2601C211yesmaximal, characteristic, complemented
17C2×#2413C211yesmaximal, characteristic, complemented
18C2×#2438C211yesmaximal, characteristic, complemented
19C2×#2411C211yesmaximal, characteristic, complemented
20C2×#2411C211yesmaximal, characteristic, complemented
21C2×#2450C211yesmaximal, characteristic, complemented
22C2×#2450C211yesmaximal, characteristic, complemented
23C2×#2425C211yesmaximal, characteristic, complemented
24C2×#2412C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic
26C2×#2437C211yesmaximal, characteristic, complemented
27C2×#2664C211yesmaximal, characteristic, complemented
28C2×#2662C211yesmaximal, characteristic, complemented
29C2×#2324C211yesmaximal, characteristic, complemented
30C2×#2323C211yesmaximal, characteristic, complemented
31C2×#2296C211yesmaximal, characteristic, complemented
32C22×#388C211yesmaximal, characteristic, complemented
33C2×#552—216no—
34C2×#552C22116yescomplemented
35C2×#551—216no—
36C2×#551C22116yescomplemented
37C22×#126C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic, complemented
41C22×#125C2211yescharacteristic, complemented
42C22×#125C2211yescharacteristic, complemented
43C22×#125C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic
55C22×C22⋊Q8C2211yescharacteristic, complemented
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#120C2211yescharacteristic
59C22×#120C2211yescharacteristic
60C22×C4×Q8C2211yescharacteristic, complemented
61C22×C4×D4C2211yescharacteristic
62C22×C4×D4C2211yescharacteristic
63C22×C4×D4C2211yescharacteristic
64C22×#117C2211yescharacteristic
65C22×#117C2211yescharacteristic
66C22×#117C2211yescharacteristic
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic, complemented
69C23×C4⋊C4C2211yescharacteristic
70C23×C22⋊C4C2211yescharacteristic
71C23×C22⋊C4C2211yescharacteristic
72C23×C22⋊C4C2211yescharacteristic
73C23×C22⋊C4C2211yescharacteristic
74C23×C42C2211yescharacteristic
75#2854C22116yescomplemented
76#2725C22116yescomplemented
77#2707C22116yescomplemented
78#2707C22116yescomplemented
79#2705C22116yescomplemented
80#2704C22116yescomplemented
81#2702C22116yescomplemented
82#2702C22116yescomplemented
83#2681C22116yescomplemented
84#2664C22116yescomplemented
85#2662C22116yescomplemented
86#2601C22116yescomplemented
87#2601C22116yescomplemented
88#2592C22116yescomplemented
89#2562C22116yescomplemented
90#2450C22116yescomplemented
91#2450C22116yescomplemented
92#2438C22116yescomplemented
93#2437C22116yescomplemented
94#2425C22116yescomplemented
95#2424C22116yes—
96#2413C22116yescomplemented
97#2412C22116yescomplemented
98#2411C22116yescomplemented
99#2411C22116yescomplemented
100C2×#400C2211yescharacteristic, complemented
101C2×#400C2211yescharacteristic, complemented
102C2×#400C2211yescharacteristic, complemented
103C2×#399C2211yescharacteristic
104C2×#398C2211yescharacteristic, complemented
105C2×#398C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic
112C2×#397C2211yescharacteristic
113C2×#397C2211yescharacteristic, complemented
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic
116C2×#396C2211yescharacteristic
117C2×#396C2211yescharacteristic
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#396C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#395C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic
137C2×#393C2211yescharacteristic, complemented
138C2×#393C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic
140#2324C22116yescomplemented
141#2323C22116yescomplemented
142#2296C22116yescomplemented
143C2×#391C2211yescharacteristic, complemented
144C2×#391C2211yescharacteristic, complemented
145C2×#391C2211yescharacteristic, complemented
146C2×#390C2211yescharacteristic
147C2×#390C2211yescharacteristic
148C2×#390C2211yescharacteristic
149C2×#390C2211yescharacteristic
150C2×#390C2211yescharacteristic
151C2×#390C2211yescharacteristic, complemented
152C2×#390C2211yescharacteristic, complemented
153C2×#389C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#389C2211yescharacteristic, complemented
158C2×#389C2211yescharacteristic, complemented
159C2×#389C2211yescharacteristic, complemented
160C2×#389C2211yescharacteristic, complemented
161C2×#389C2211yescharacteristic, complemented
162C2×#389C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C22116yescomplemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#387C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×C4×C4⋊C4C2211yescharacteristic, complemented
218C2×C4×C4⋊C4C2211yescharacteristic, complemented
219C22×#95C2211yescharacteristic
220C22×#95C2211yescharacteristic
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C24×C4C2311yescharacteristic
232C24×C4C2311yescharacteristic
233C24×C4C2311yescharacteristic
234C24×C4C2311yescharacteristic
235C24×C4C2311yescharacteristic
236C24×C4C2311yescharacteristic
237C24×C4C2311yescharacteristic
238C24×C4C2311yescharacteristic
239C24×C4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241#552—2128no—
242#551—2128no—
243C2×#126—28no—
244C2×#126—28no—
245C2×#126—28no—
246C2×#126—28no—
247C2×#126C2318yes—
248C2×#126C2318yes—
249C2×#126C2318yescomplemented
250C2×#126C2318yescomplemented
251C2×#125—28no—
252C2×#125—28no—
253C2×#125—28no—
254C2×#125C2318yescomplemented
255C2×#125C2318yescomplemented
256C2×#125C2318yescomplemented
257C2×#124—28no—
258C2×#124C2318yes—
259C2×#123—28no—
260C2×#123—28no—
261C2×#123—28no—
262C2×#123—28no—
263C2×#123—28no—
264C2×#123—44no—
265C2×#123C2318yes—
266C2×#123C2318yes—
267C2×#123C2318yes—
268C2×#123C2318yes—
269C2×#123C2318yes—
270C2×#123C2318yes—
271C2×C22⋊Q8—28no—
272C2×C22⋊Q8—28no—
273C2×C22⋊Q8—28no—
274C2×C22⋊Q8—28no—
275C2×C22⋊Q8—28no—
276C2×C22⋊Q8C2318yes—
277C2×C22⋊Q8C2318yes—
278C2×C22⋊Q8C2318yes—
279C2×C22⋊Q8C2318yes—
280C2×C22⋊Q8C2318yescomplemented
281C2×#121—28no—
282C2×#121—44no—
283C2×#121C2318yes—
284C2×#121C2318yes—
285C2×#120—28no—
286C2×#120—44no—
287C2×#120C2318yes—
288C2×#120C2318yes—
289C2×C4×Q8—28no—
290C2×C4×Q8C2318yescomplemented
291C2×C4×D4—28no—
292C2×C4×D4—28no—
293C2×C4×D4—28no—
294C2×C4×D4C2318yes—
295C2×C4×D4C2318yes—
296C2×C4×D4C2318yes—
297C2×#117—28no—
298C2×#117—28no—
299C2×#117—28no—
300C2×#117—44no—
301C2×#117D4116yescomplemented
302C2×#117C2318yes—
303C2×#117C2318yes—
304C2×#117C2318yes—
305C2×#117C2318yes—
306C2×#117C2318yescomplemented
307C22×C4⋊C4—28no—
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⋊C4C2311yescharacteristic
321C22×C4⋊C4C2311yescharacteristic
322C22×C4⋊C4C2311yescharacteristic
323C22×C4⋊C4C2311yescharacteristic
324C22×C4⋊C4C2311yescharacteristic
325C22×C4⋊C4C2311yescharacteristic
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2318yes—
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C22⋊C4—28no—
351C22×C22⋊C4—28no—
352C22×C22⋊C4—28no—
353C22×C22⋊C4—44no—
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⋊C4C2318yes—
374C22×C22⋊C4C2318yes—
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2318yes—
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊C4C2318yes—
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C42—44no—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2318yes—
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420#400C2318yescomplemented
421#400C2318yescomplemented
422#400C2318yescomplemented
423#399C2318yes—
424#398C2318yescomplemented
425#398C2318yescomplemented
426#398C2318yescomplemented
427#398C2318yescomplemented
428#398C2318yescomplemented
429#398C2318yescomplemented
430#398C2318yescomplemented
431#397C2318yes—
432#397C2318yes—
433#397C2318yescomplemented
434#396C2318yes—
435#396C2318yes—
436#396C2318yes—
437#396C2318yes—
438#396C2318yes—
439#396C2318yes—
440#396C2318yes—
441#396C2318yescomplemented
442#396C2318yescomplemented
443#396C2318yescomplemented
444#396C2318yescomplemented
445#396C2318yescomplemented
446#395C2318yescomplemented
447#394C2318yes—
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yescomplemented
456#393C2318yes—
457#393C2318yescomplemented
458#393C2318yescomplemented
459#392C2318yes—
460#391C2318yescomplemented
461#391C2318yescomplemented
462#391C2318yescomplemented
463#390C2318yes—
464#390C2318yes—
465#390C2318yes—
466#390C2318yes—
467#390C2318yes—
468#390C2318yescomplemented
469#390C2318yescomplemented
470#389C2318yescomplemented
471#389C2318yescomplemented
472#389C2318yescomplemented
473#389C2318yescomplemented
474#389C2318yescomplemented
475#389C2318yescomplemented
476#389C2318yescomplemented
477#389C2318yescomplemented
478#389C2318yescomplemented
479#389C2318yescomplemented
480#388C2318yes—
481#388C2318yes—
482#388C2318yes—
483#388C2318yes—
484#388C2318yes—
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2318yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yes—
493#388C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#387C2318yescomplemented
501#387C2318yescomplemented
502#387C2318yescomplemented
503#387C2318yescomplemented
504#386C2318yes—
505#386C2318yes—
506#386C2318yes—
507#386C2318yes—
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yescomplemented
512#385C2318yes—
513#385C2318yes—
514#385C2318yes—
515#385C2318yes—
516#385C2318yes—
517#385C2318yes—
518#385C2318yes—
519#385C2318yes—
520#385C2318yescomplemented
521#385C2318yescomplemented
522#381C2318yes—
523#380C2318yes—
524#380C2318yes—
525#380C2318yes—
526#380C2318yes—
527#380C2318yescomplemented
528#380C2318yescomplemented
529#380C2318yescomplemented
530#379C2318yes—
531C4×C4⋊C4C2318yescomplemented
532C4×C4⋊C4C2318yescomplemented
533C4×C4⋊C4C2318yescomplemented
534C4×C4⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2318yes—
568C2×#95C2318yes—
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C25—24no—
572C25—24no—
573C25—24no—
574C25—24no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2414yes—
583C25C2411yescharacteristic
584C22×Q8—24no—
585C22×Q8—24no—
586C22×Q8—24no—
587C22×Q8—42no—
588C22×Q8—42no—
589C22×Q8—42no—
590C22×Q8C2414yes—
591C22×Q8C2414yes—
592C22×D4—24no—
593C22×D4—24no—
594C22×D4—24no—
595C22×D4—24no—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—42no—
604C22×D4—42no—
605C22×D4—42no—
606C22×D4—42no—
607C22×D4—42no—
608C22×D4—42no—
609C22×D4—42no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4C2414yes—
614C22×D4C2414yes—
615C22×D4C2414yes—
616C22×D4C2414yes—
617C22×D4C2414yes—
618C22×D4C2414yes—
619C22×D4C2414yes—
620C23×C4—24no—
621C23×C4—24no—
622C23×C4—24no—
623C23×C4—24no—
624C23×C4—24no—
625C23×C4—24no—
626C23×C4—24no—
627C23×C4—24no—
628C23×C4—24no—
629C23×C4—24no—
630C23×C4—24no—
631C23×C4—24no—
632C23×C4—24no—
633C23×C4—24no—
634C23×C4—24no—
635C23×C4—24no—
636C23×C4—24no—
637C23×C4—42no—
638C23×C4—42no—
639C23×C4—42no—
640C23×C4—42no—
641C23×C4—42no—
642C23×C4—42no—
643C23×C4—42no—
644C23×C4—42no—
645C23×C4—42no—
646C23×C4—42no—
647C23×C4—42no—
648C23×C4—42no—
649C23×C4C2×D418yes—
650C23×C4C2414yes—
651C23×C4C2411yescharacteristic
652C23×C4C2411yescharacteristic
653C23×C4C2411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2414yes—
670C23×C4C2414yes—
671C23×C4C2414yes—
672C23×C4C2414yes—
673C23×C4C2414yes—
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2411yescharacteristic
677C23×C4C2411yescharacteristic
678C23×C4C2411yescharacteristic
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2414yes—
683C23×C4C2414yes—
684C23×C4C2414yes—
685C23×C4C2414yes—
686#126—232no—
687#126—232no—
688#126—232no—
689#126—232no—
690#125—232no—
691#125—232no—
692#125—232no—
693#124—232no—
694#123—232no—
695#123—232no—
696#123—232no—
697#123—232no—
698#123—232no—
699#123—416no—
700C22⋊Q8—232no—
701C22⋊Q8—232no—
702C22⋊Q8—232no—
703C22⋊Q8—232no—
704C22⋊Q8—232no—
705#121—232no—
706#121—416no—
707#120—232no—
708#120—416no—
709C4×Q8—232no—
710C4×D4—232no—
711C4×D4—232no—
712C4×D4—232no—
713#117—232no—
714#117—232no—
715#117—232no—
716#117—416no—
717#117C2×D4164yescomplemented
718C2×C4⋊C4—24no—
719C2×C4⋊C4—24no—
720C2×C4⋊C4—24no—
721C2×C4⋊C4—24no—
722C2×C4⋊C4—232no—
723C2×C4⋊C4—24no—
724C2×C4⋊C4—24no—
725C2×C4⋊C4—24no—
726C2×C4⋊C4—24no—
727C2×C4⋊C4—24no—
728C2×C4⋊C4—24no—
729C2×C4⋊C4—24no—
730C2×C4⋊C4—24no—
731C2×C4⋊C4—24no—
732C2×C4⋊C4—24no—
733C2×C4⋊C4—24no—
734C2×C4⋊C4—24no—
735C2×C4⋊C4—24no—
736C2×C4⋊C4—24no—
737C2×C4⋊C4—24no—
738C2×C4⋊C4—24no—
739C2×C4⋊C4—24no—
740C2×C4⋊C4—24no—
741C2×C4⋊C4—24no—
742C2×C4⋊C4—24no—
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⋊C4C2×D418yes—
759C2×C4⋊C4C2×D418yes—
760C2×C4⋊C4C2414yes—
761C2×C4⋊C4C2414yes—
762C2×C4⋊C4C2414yes—
763C2×C4⋊C4C2414yes—
764C2×C4⋊C4C2414yes—
765C2×C4⋊C4C2414yes—
766C2×C4⋊C4C2414yes—
767C2×C4⋊C4C2414yes—
768C2×C4⋊C4C2414yes—
769C2×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—232no—
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—24no—
821C2×C22⋊C4—24no—
822C2×C22⋊C4—24no—
823C2×C22⋊C4—24no—
824C2×C22⋊C4—24no—
825C2×C22⋊C4—24no—
826C2×C22⋊C4—24no—
827C2×C22⋊C4—232no—
828C2×C22⋊C4—232no—
829C2×C22⋊C4—42no—
830C2×C22⋊C4—42no—
831C2×C22⋊C4—42no—
832C2×C22⋊C4—42no—
833C2×C22⋊C4—416no—
834C2×C22⋊C4—42no—
835C2×C22⋊C4—42no—
836C2×C22⋊C4—42no—
837C2×C22⋊C4—42no—
838C2×C22⋊C4—42no—
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⋊C4C2×D418yes—
851C2×C22⋊C4C2×D418yes—
852C2×C22⋊C4#4118yes—
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×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C42—24no—
902C2×C42—24no—
903C2×C42—24no—
904C2×C42—24no—
905C2×C42—42no—
906C2×C42—42no—
907C2×C42—42no—
908C2×C42—42no—
909C2×C42—42no—
910C2×C42—42no—
911C2×C42—416no—
912C2×C42C2×D418yes—
913C2×C42C2×D418yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
922C2×C42C2414yes—
923C2×C42C2414yes—
924C2×C42C2414yes—
925C2×C42C2414yes—
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—
946#95C2414yes—
947#95C2414yes—
948#95C2414yes—
949#95C2414yes—
950#95C2414yes—
951#95C2414yes—
952#95C2414yes—
953#95C2414yes—
954#95C2414yes—
955#95C2414yes—
956#95C2414yes—
957#95C2414yes—
958#95C2414yes—
959#95C2414yes—
960C24—22no—
961C24—22no—
962C24—22no—
963C24—22no—
964C24—22no—
965C24—22no—
966C24—22no—
967C24—22no—
968C24—22no—
969C24—22no—
970C24—22no—
971C24—22no—
972C24—22no—
973C24—28no—
974C24—22no—
975C24—22no—
976C24—22no—
977C24—22no—
978C24—22no—
979C24—22no—
980C24—22no—
981C24—22no—
982C24—22no—
983C24—22no—
984C24—22no—
985C24—22no—
986C24—22no—
987C24—22no—
988C24—22no—
989C24—22no—
990C24—22no—
991C24—22no—
992C24—28no—
993C24—28no—
994C24—28no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—416no—
999C24—416no—
1000C24—416no—
1001C24—416no—
1002C24—88no—
1003C24—88no—
1004C24—88no—
1005C24C22×D414yes—
1006C24C2×#4114yes—
1007C24H(5,𝔽2)14yes—
1008C242−1+414yes—
1009C24C2512yes—
1010C24C2512yes—
1011C24C2512yes—
1012C24C2512yes—
1013C24C2512yes—
1014C24C2511yescharacteristic
1015C2×Q8—28no—
1016C2×Q8—28no—
1017C2×Q8—28no—
1018C2×Q8—44no—
1019C2×Q8—44no—
1020C2×Q8—44no—
1021C2×Q8—416no—
1022C2×Q8—88no—
1023C2×D4—28no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—28no—
1028C2×D4—28no—
1029C2×D4—28no—
1030C2×D4—28no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—44no—
1035C2×D4—416no—
1036C2×D4—44no—
1037C2×D4—44no—
1038C2×D4—44no—
1039C2×D4—44no—
1040C2×D4—44no—
1041C2×D4—44no—
1042C2×D4—44no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—416no—
1046C2×D4—416no—
1047C2×D4—88no—
1048C2×D4—88no—
1049C2×D4—88no—
1050C2×D4—88no—
1051C22×C4—232no—
1052C22×C4—22no—
1053C22×C4—22no—
1054C22×C4—22no—
1055C22×C4—22no—
1056C22×C4—22no—
1057C22×C4—22no—
1058C22×C4—28no—
1059C22×C4—28no—
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—28no—
1082C22×C4—28no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—28no—
1090C22×C4—28no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—28no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—28no—
1103C22×C4—22no—
1104C22×C4—28no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—22no—
1122C22×C4—22no—
1123C22×C4—22no—
1124C22×C4—22no—
1125C22×C4—22no—
1126C22×C4—22no—
1127C22×C4—22no—
1128C22×C4—22no—
1129C22×C4—22no—
1130C22×C4—22no—
1131C22×C4—28no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—28no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—44no—
1140C22×C4—44no—
1141C22×C4—44no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—416no—
1146C22×C4—44no—
1147C22×C4—44no—
1148C22×C4—44no—
1149C22×C4—44no—
1150C22×C4—44no—
1151C22×C4—44no—
1152C22×C4—416no—
1153C22×C4—416no—
1154C22×C4—416no—
1155C22×C4—416no—
1156C22×C4—416no—
1157C22×C4—88no—
1158C22×C4—88no—
1159C22×C4—88no—
1160C22×C4C22×D414yes—
1161C22×C4C22×D414yes—
1162C22×C4C22×D414yes—
1163C22×C4C22×D414yes—
1164C22×C4C22×D414yes—
1165C22×C4C22×D414yes—
1166C22×C4C22×D4116yes—
1167C22×C4C2×#4114yes—
1168C22×C4C2×#4114yes—
1169C22×C4C2512yes—
1170C22×C4C2512yes—
1171C22×C4C2512yes—
1172C22×C4C2512yes—
1173C22×C4C2512yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2512yes—
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C4⋊C4—28no—
1196C4⋊C4—28no—
1197C4⋊C4—28no—
1198C4⋊C4—28no—
1199C4⋊C4—28no—
1200C4⋊C4—28no—
1201C4⋊C4—28no—
1202C4⋊C4—28no—
1203C4⋊C4—28no—
1204C4⋊C4—28no—
1205C4⋊C4—28no—
1206C4⋊C4—28no—
1207C4⋊C4—28no—
1208C4⋊C4—28no—
1209C4⋊C4—28no—
1210C4⋊C4—28no—
1211C4⋊C4—28no—
1212C4⋊C4—28no—
1213C4⋊C4—28no—
1214C4⋊C4—28no—
1215C4⋊C4—28no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—44no—
1220C4⋊C4—44no—
1221C4⋊C4—44no—
1222C4⋊C4—44no—
1223C4⋊C4—44no—
1224C4⋊C4—44no—
1225C4⋊C4—44no—
1226C4⋊C4—44no—
1227C4⋊C4—44no—
1228C4⋊C4—44no—
1229C4⋊C4—44no—
1230C4⋊C4—44no—
1231C4⋊C4—44no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4C22×D4116yes—
1235C4⋊C4C22×D4116yes—
1236C22⋊C4—28no—
1237C22⋊C4—28no—
1238C22⋊C4—28no—
1239C22⋊C4—28no—
1240C22⋊C4—28no—
1241C22⋊C4—28no—
1242C22⋊C4—28no—
1243C22⋊C4—28no—
1244C22⋊C4—28no—
1245C22⋊C4—28no—
1246C22⋊C4—28no—
1247C22⋊C4—28no—
1248C22⋊C4—28no—
1249C22⋊C4—28no—
1250C22⋊C4—28no—
1251C22⋊C4—28no—
1252C22⋊C4—28no—
1253C22⋊C4—28no—
1254C22⋊C4—28no—
1255C22⋊C4—28no—
1256C22⋊C4—28no—
1257C22⋊C4—28no—
1258C22⋊C4—28no—
1259C22⋊C4—28no—
1260C22⋊C4—28no—
1261C22⋊C4—44no—
1262C22⋊C4—44no—
1263C22⋊C4—44no—
1264C22⋊C4—44no—
1265C22⋊C4—44no—
1266C22⋊C4—44no—
1267C22⋊C4—44no—
1268C22⋊C4—44no—
1269C22⋊C4—44no—
1270C22⋊C4—44no—
1271C22⋊C4—44no—
1272C22⋊C4—44no—
1273C22⋊C4—44no—
1274C22⋊C4—44no—
1275C22⋊C4—44no—
1276C22⋊C4—44no—
1277C22⋊C4—44no—
1278C22⋊C4—44no—
1279C22⋊C4—44no—
1280C22⋊C4—44no—
1281C22⋊C4C22×D4116yes—
1282C22⋊C4C22×D4116yes—
1283C22⋊C4C2×#41116yes—
1284C42—28no—
1285C42—28no—
1286C42—28no—
1287C42—28no—
1288C42—44no—
1289C42—44no—
1290C42—44no—
1291C42—44no—
1292C42—44no—
1293C42—44no—
1294C42C22×D4116yes—
1295C42C22×D4116yes—
1296C23—22no—
1297C23—22no—
1298C23—22no—
1299C23—22no—
1300C23—28no—
1301C23—28no—
1302C23—28no—
1303C23—28no—
1304C23—28no—
1305C23—28no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—28no—
1313C23—28no—
1314C23—28no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—22no—
1323C23—22no—
1324C23—22no—
1325C23—22no—
1326C23—22no—
1327C23—22no—
1328C23—22no—
1329C23—22no—
1330C23—22no—
1331C23—22no—
1332C23—22no—
1333C23—22no—
1334C23—22no—
1335C23—22no—
1336C23—416no—
1337C23—416no—
1338C23—416no—
1339C23—44no—
1340C23—44no—
1341C23—44no—
1342C23—44no—
1343C23—44no—
1344C23—44no—
1345C23—416no—
1346C23—44no—
1347C23—44no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—44no—
1352C23—44no—
1353C23—44no—
1354C23—44no—
1355C23—44no—
1356C23—44no—
1357C23—44no—
1358C23—44no—
1359C23—44no—
1360C23—44no—
1361C23—44no—
1362C23—44no—
1363C23—44no—
1364C23—44no—
1365C23—88no—
1366C23—88no—
1367C23—88no—
1368C23—864no—
1369C23#537116yes—
1370C23C23×D414yes—
1371C23C23×D412yes—
1372C23C22×#4114yes—
1373C23C22×#4112yes—
1374C23C2×H(5,𝔽2)14yes—
1375C23C2×H(5,𝔽2)12yes—
1376C23C2×2−1+414yes—
1377C23C2×2−1+412yes—
1378C23#58512yes—
1379C23#58512yes—
1380C23#58512yes—
1381C23C2611yescharacteristic
1382Q8—416no—
1383Q8—88no—
1384D4—416no—
1385D4—416no—
1386D4—416no—
1387D4—88no—
1388D4—88no—
1389D4—88no—
1390D4—88no—
1391C2×C4—22no—
1392C2×C4—22no—
1393C2×C4—22no—
1394C2×C4—22no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—22no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—22no—
1403C2×C4—22no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—232no—
1408C2×C4—28no—
1409C2×C4—28no—
1410C2×C4—28no—
1411C2×C4—28no—
1412C2×C4—28no—
1413C2×C4—28no—
1414C2×C4—28no—
1415C2×C4—28no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
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—416no—
1471C2×C4—416no—
1472C2×C4—416no—
1473C2×C4—416no—
1474C2×C4—416no—
1475C2×C4—416no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—88no—
1495C2×C4—88no—
1496C2×C4—88no—
1497C2×C4C23×D414yes—
1498C2×C4C23×D414yes—
1499C2×C4C23×D414yes—
1500C2×C4C23×D414yes—
1501C2×C4C23×D414yes—
1502C2×C4C23×D414yes—
1503C2×C4C22×#4114yes—
1504C2×C4C22×#4114yes—
1505C22—24no—
1506C22—24no—
1507C22—232no—
1508C22—24no—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—42no—
1516C22—42no—
1517C22—416no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22—42no—
1533C22—42no—
1534C22—42no—
1535C22—42no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—832no—
1542C22—88no—
1543C22—88no—
1544C22—88no—
1545C22C2×#53718yes—
1546C22C2×#53714yes—
1547C22D4×#4114yes—
1548C22#349514yes—
1549C22#350014yes—
1550C22#351314yes—
1551C22#353314yes—
1552C22#356414yes—
1553C22C24×D411yescharacteristic
1554C22C23×#4111yescharacteristic
1555C22C22×H(5,𝔽2)11yescharacteristic
1556C22C22×2−1+411yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22C2×#58511yescharacteristic
1560C4—24no—
1561C4—24no—
1562C4—24no—
1563C4—24no—
1564C4—24no—
1565C4—24no—
1566C4—24no—
1567C4—24no—
1568C4—42no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—42no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C2—28no—
1587C2—44no—
1588C2—82no—
1589C2—82no—
1590C2—82no—
1591C2#3842918yesdirect product factor
1592C2C22×#53711yescharacteristic
1593C2C2×D4×#4111yescharacteristic
1594C2C2×#353311yescharacteristic
1595C2C2×#356411yescharacteristic
1596C2C2×#351311yescharacteristic
1597C2C2×#349511yescharacteristic
1598C2C2×#350011yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
prime radicalC2×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#552C2semidirect
2. C22×#551C2semidirect
3. C2×#2725C2semidirect
4. C2×#2707C2semidirect
5. C2×#2707C2semidirect
6. C2×#2705C2semidirect
7. C2×#2704C2semidirect
8. C2×#2702C2semidirect
9. C2×#2702C2semidirect
10. C2×#2681C2semidirect
11. #38429C2direct (N × H)
12. C2×#2854C2semidirect
13. C2×#2592C2semidirect
14. C2×#2562C2semidirect
15. C2×#2601C2semidirect
16. C2×#2601C2semidirect
17. C2×#2413C2semidirect
18. C2×#2438C2semidirect
19. C2×#2411C2semidirect
20. C2×#2411C2semidirect
21. C2×#2450C2semidirect
22. C2×#2450C2semidirect
23. C2×#2425C2semidirect
24. C2×#2412C2semidirect
26. C2×#2437C2semidirect
27. C2×#2664C2semidirect
28. C2×#2662C2semidirect
29. C2×#2324C2semidirect
30. C2×#2323C2semidirect
31. C2×#2296C2semidirect
32. C22×#388C2semidirect
34. C2×#552C22semidirect
36. C2×#551C22semidirect
39. C22×#126C22semidirect
40. C22×#126C22semidirect
41. C22×#125C22semidirect
42. C22×#125C22semidirect
43. C22×#125C22semidirect
55. C22×C22⋊Q8C22semidirect
60. C22×C4×Q8C22semidirect
68. C22×#117C22semidirect
75. #2854C22semidirect
76. #2725C22semidirect
77. #2707C22semidirect
78. #2707C22semidirect
79. #2705C22semidirect
80. #2704C22semidirect
81. #2702C22semidirect
82. #2702C22semidirect
83. #2681C22semidirect
84. #2664C22semidirect
85. #2662C22semidirect
86. #2601C22semidirect
87. #2601C22semidirect
88. #2592C22semidirect
89. #2562C22semidirect
90. #2450C22semidirect
91. #2450C22semidirect
92. #2438C22semidirect
93. #2437C22semidirect
94. #2425C22semidirect
96. #2413C22semidirect
97. #2412C22semidirect
98. #2411C22semidirect
99. #2411C22semidirect
100. C2×#400C22semidirect
101. C2×#400C22semidirect
102. C2×#400C22semidirect
104. C2×#398C22semidirect
105. C2×#398C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
113. C2×#397C22semidirect
121. C2×#396C22semidirect
122. C2×#396C22semidirect
123. C2×#396C22semidirect
124. C2×#396C22semidirect
125. C2×#396C22semidirect
126. C2×#395C22semidirect
135. C2×#394C22semidirect
137. C2×#393C22semidirect
138. C2×#393C22semidirect
140. #2324C22semidirect
141. #2323C22semidirect
142. #2296C22semidirect
143. C2×#391C22semidirect
144. C2×#391C22semidirect
145. C2×#391C22semidirect
151. C2×#390C22semidirect
152. C2×#390C22semidirect
153. C2×#389C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
157. C2×#389C22semidirect
158. C2×#389C22semidirect
159. C2×#389C22semidirect
160. C2×#389C22semidirect
161. C2×#389C22semidirect
162. C2×#389C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#387C22semidirect
185. C2×#387C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
195. C2×#386C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C4⋊C4C22semidirect
249. C2×#126C23semidirect
250. C2×#126C23semidirect
254. C2×#125C23semidirect
255. C2×#125C23semidirect
256. C2×#125C23semidirect
280. C2×C22⋊Q8C23semidirect
290. C2×C4×Q8C23semidirect
301. C2×#117D4semidirect
306. C2×#117C23semidirect
420. #400C23semidirect
421. #400C23semidirect
422. #400C23semidirect
424. #398C23semidirect
425. #398C23semidirect
426. #398C23semidirect
427. #398C23semidirect
428. #398C23semidirect
429. #398C23semidirect
430. #398C23semidirect
433. #397C23semidirect
441. #396C23semidirect
442. #396C23semidirect
443. #396C23semidirect
444. #396C23semidirect
445. #396C23semidirect
446. #395C23semidirect
455. #394C23semidirect
457. #393C23semidirect
458. #393C23semidirect
460. #391C23semidirect
461. #391C23semidirect
462. #391C23semidirect
468. #390C23semidirect
469. #390C23semidirect
470. #389C23semidirect
471. #389C23semidirect
472. #389C23semidirect
473. #389C23semidirect
474. #389C23semidirect
475. #389C23semidirect
476. #389C23semidirect
477. #389C23semidirect
478. #389C23semidirect
479. #389C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #387C23semidirect
501. #387C23semidirect
502. #387C23semidirect
503. #387C23semidirect
511. #386C23semidirect
520. #385C23semidirect
521. #385C23semidirect
527. #380C23semidirect
528. #380C23semidirect
529. #380C23semidirect
531. C4×C4⋊C4C23semidirect
532. C4×C4⋊C4C23semidirect
533. C4×C4⋊C4C23semidirect
534. C4×C4⋊C4C23semidirect
717. #117C2×D4semidirect
1591. C2#38429direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5522
C22×#5512
C2×#27252
C2×#27072
C2×#27052
C2×#27042
C2×#27022
C2×#26812
#384292
C2×#28542
C2×#25922
C2×#25622
C2×#26012
C2×#24132
C2×#24382
C2×#24112
C2×#24502
C2×#24252
C2×#24122
C2×#24242
C2×#24372
C2×#26642
C2×#26622
C2×#23242
C2×#23232
C2×#22962
C22×#3882