Finite Group Databasebeta

← C2×#43916 #7668474

Subgroups — C2×#43916 #7668474

Order 512.

8108 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#551C211yesmaximal, characteristic, complemented
2C22×#542C211yesmaximal, characteristic, complemented
3C2×#2715C211yesmaximal, characteristic, complemented
4C2×#2702C211yesmaximal, characteristic, complemented
5C2×#2695C211yesmaximal, characteristic, complemented
6C2×#2689C211yesmaximal, characteristic, complemented
7C2×#2686C211yesmaximal, characteristic, complemented
8C2×#2684C211yesmaximal, characteristic, complemented
9C2×#2677C211yesmaximal, characteristic, complemented
10C2×#2672C211yesmaximal, characteristic, complemented
11#43916C2132yesmaximal, direct product factor
12C2×#2547C211yesmaximal, characteristic, complemented
13C2×#2564C211yesmaximal, characteristic, complemented
14C2×#2557C211yesmaximal, characteristic, complemented
15C2×#2553C211yesmaximal, characteristic, complemented
16C2×#2553C211yesmaximal, characteristic, complemented
17C2×#2479C211yesmaximal, characteristic, complemented
18C2×#2478C211yesmaximal, characteristic, complemented
19C2×#2477C211yesmaximal, characteristic, complemented
20C2×#2415C211yesmaximal, characteristic, complemented
21C2×#2439C211yesmaximal, characteristic, complemented
22C2×#2465C211yesmaximal, characteristic, complemented
23C2×#2452C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2437C211yesmaximal, characteristic, complemented
28C2×#2392C211yesmaximal, characteristic, complemented
29C2×#2362C211yesmaximal, characteristic, complemented
30C2×#2359C211yesmaximal, characteristic, complemented
31C2×#2342C211yesmaximal, characteristic, complemented
32C2×#2325C211yesmaximal, characteristic, complemented
33C2×#551—216no—
34C2×#551C22116yescomplemented
35C2×#542—216no—
36C2×#542C22116yescomplemented
37C22×C4⋊Q8C2211yescharacteristic, complemented
38C22×C4⋊Q8C2211yescharacteristic, complemented
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic
41C22×#126C2211yescharacteristic, complemented
42C22×#126C2211yescharacteristic, complemented
43C22×#124C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic
53C22×C22⋊Q8C2211yescharacteristic
54C22×C22⋊Q8C2211yescharacteristic
55C22×C22⋊Q8C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic, complemented
57C22×C22⋊Q8C2211yescharacteristic, complemented
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#120C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×C4×Q8C2211yescharacteristic, complemented
63C22×C4×D4C2211yescharacteristic
64C22×C4×D4C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic, complemented
68C22×#117C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C22×#117C2211yescharacteristic
71C22×#117C2211yescharacteristic, complemented
72C23×C22⋊C4C2211yescharacteristic
73C23×C22⋊C4C2211yescharacteristic
74C23×C22⋊C4C2211yescharacteristic
75#2715C22116yescomplemented
76#2702C22116yescomplemented
77#2695C22116yescomplemented
78#2689C22116yescomplemented
79#2686C22116yescomplemented
80#2684C22116yescomplemented
81#2677C22116yescomplemented
82#2672C22116yescomplemented
83#2564C22116yescomplemented
84#2557C22116yescomplemented
85#2553C22116yescomplemented
86#2553C22116yescomplemented
87#2547C22116yescomplemented
88#2479C22116yescomplemented
89#2478C22116yescomplemented
90#2477C22116yescomplemented
91#2472C22116yescomplemented
92#2465C22116yescomplemented
93#2452C22116yescomplemented
94#2439C22116yescomplemented
95#2437C22116yescomplemented
96#2424C22116yes—
97#2418C22116yescomplemented
98#2415C22116yescomplemented
99C2×#400C2211yescharacteristic, complemented
100C2×#400C2211yescharacteristic, complemented
101C2×#399C2211yescharacteristic
102C2×#399C2211yescharacteristic
103C2×#399C2211yescharacteristic, complemented
104#2392C22116yescomplemented
105C2×#398C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic
110C2×#397C2211yescharacteristic
111C2×#397C2211yescharacteristic
112C2×#397C2211yescharacteristic
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic
118C2×#396C2211yescharacteristic
119C2×#396C2211yescharacteristic
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#395C2211yescharacteristic, complemented
123C2×#395C2211yescharacteristic, complemented
124C2×#395C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic, complemented
134C2×#393C2211yescharacteristic
135C2×#393C2211yescharacteristic
136C2×#393C2211yescharacteristic
137C2×#393C2211yescharacteristic
138C2×#393C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic
140#2362C22116yescomplemented
141#2359C22116yescomplemented
142#2342C22116yescomplemented
143#2325C22116yescomplemented
144C2×#391C2211yescharacteristic, complemented
145C2×#391C2211yescharacteristic, complemented
146C2×#391C2211yescharacteristic, complemented
147C2×#391C2211yescharacteristic, complemented
148C2×#390C2211yescharacteristic
149C2×#390C2211yescharacteristic
150C2×#389C2211yescharacteristic, complemented
151C2×#389C2211yescharacteristic, complemented
152C2×#389C2211yescharacteristic, complemented
153C2×#389C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#387C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#387C2211yescharacteristic, complemented
179C2×#387C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic, complemented
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic
196C2×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#382C2211yescharacteristic, complemented
201C2×#381C2211yescharacteristic
202C2×#380C2211yescharacteristic
203C2×#380C2211yescharacteristic
204C2×#380C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#379C2211yescharacteristic
210C2×#379C2211yescharacteristic
211C2×C4×C4⋊C4C2211yescharacteristic, complemented
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
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
243#551—2128no—
244#542—2128no—
245C2×C4⋊Q8—28no—
246C2×C4⋊Q8—44no—
247C2×C4⋊Q8C2318yescomplemented
248C2×C4⋊Q8C2318yescomplemented
249C2×#126—28no—
250C2×#126—28no—
251C2×#126—28no—
252C2×#126—28no—
253C2×#126C2318yes—
254C2×#126C2318yes—
255C2×#126C2318yescomplemented
256C2×#126C2318yescomplemented
257C2×#124—28no—
258C2×#124—28no—
259C2×#124—28no—
260C2×#124—28no—
261C2×#124C2318yes—
262C2×#124C2318yes—
263C2×#124C2318yes—
264C2×#124C2318yescomplemented
265C2×#123—28no—
266C2×#123—28no—
267C2×#123—28no—
268C2×#123D4116yescomplemented
269C2×#123C2318yes—
270C2×#123C2318yes—
271C2×#123C2318yes—
272C2×#123C2318yes—
273C2×C22⋊Q8—28no—
274C2×C22⋊Q8—28no—
275C2×C22⋊Q8—28no—
276C2×C22⋊Q8—28no—
277C2×C22⋊Q8—28no—
278C2×C22⋊Q8—28no—
279C2×C22⋊Q8—44no—
280C2×C22⋊Q8C2318yes—
281C2×C22⋊Q8C2318yes—
282C2×C22⋊Q8C2318yes—
283C2×C22⋊Q8C2318yes—
284C2×C22⋊Q8C2318yes—
285C2×C22⋊Q8C2318yescomplemented
286C2×C22⋊Q8C2318yescomplemented
287C2×#121—28no—
288C2×#121—28no—
289C2×#121C2318yes—
290C2×#121C2318yes—
291C2×#120—28no—
292C2×#120—44no—
293C2×#120C2318yes—
294C2×#120C2318yes—
295C2×C4×Q8—28no—
296C2×C4×Q8C2318yescomplemented
297C2×C4×D4—28no—
298C2×C4×D4—28no—
299C2×C4×D4—28no—
300C2×C4×D4—44no—
301C2×C4×D4—44no—
302C2×C4×D4C2318yes—
303C2×C4×D4C2318yes—
304C2×C4×D4C2318yes—
305C2×C4×D4C2318yes—
306C2×C4×D4C2318yescomplemented
307C2×#117—28no—
308C2×#117—28no—
309C2×#117—28no—
310C2×#117—44no—
311C2×#117C2318yes—
312C2×#117C2318yes—
313C2×#117C2318yes—
314C2×#117C2318yescomplemented
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⋊C4C2311yescharacteristic
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⋊C4C2318yes—
354C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416#400C2318yescomplemented
417#400C2318yescomplemented
418#399C2318yes—
419#399C2318yes—
420#399C2318yescomplemented
421#398C2318yescomplemented
422#398C2318yescomplemented
423#398C2318yescomplemented
424#398C2318yescomplemented
425#397C2318yes—
426#397C2318yes—
427#397C2318yes—
428#397C2318yes—
429#397C2318yescomplemented
430#397C2318yescomplemented
431#397C2318yescomplemented
432#397C2318yescomplemented
433#396C2318yes—
434#396C2318yes—
435#396C2318yes—
436#396C2318yescomplemented
437#396C2318yescomplemented
438#395C2318yescomplemented
439#395C2318yescomplemented
440#395C2318yescomplemented
441#394C2318yes—
442#394C2318yes—
443#394C2318yes—
444#394C2318yes—
445#394C2318yes—
446#394C2318yes—
447#394C2318yes—
448#394C2318yes—
449#394C2318yescomplemented
450#393C2318yes—
451#393C2318yes—
452#393C2318yes—
453#393C2318yes—
454#393C2318yescomplemented
455#392C2318yes—
456#391C2318yescomplemented
457#391C2318yescomplemented
458#391C2318yescomplemented
459#391C2318yescomplemented
460#390C2318yes—
461#390C2318yes—
462#389C2318yescomplemented
463#389C2318yescomplemented
464#389C2318yescomplemented
465#389C2318yescomplemented
466#389C2318yescomplemented
467#389C2318yescomplemented
468#389C2318yescomplemented
469#388C2318yes—
470#388C2318yes—
471#388C2318yes—
472#388C2318yes—
473#388C2318yes—
474#388C2318yes—
475#388C2318yes—
476#388C2318yes—
477#388C2318yes—
478#388C2318yes—
479#388C2318yes—
480#388C2318yescomplemented
481#388C2318yescomplemented
482#388C2318yescomplemented
483#387C2318yescomplemented
484#387C2318yescomplemented
485#387C2318yescomplemented
486#387C2318yescomplemented
487#387C2318yescomplemented
488#387C2318yescomplemented
489#387C2318yescomplemented
490#387C2318yescomplemented
491#387C2318yescomplemented
492#386C2318yes—
493#386C2318yes—
494#386C2318yes—
495#386C2318yes—
496#386C2318yes—
497#386C2318yes—
498#386C2318yes—
499#386C2318yes—
500#386C2318yes—
501#386C2318yescomplemented
502#385C2318yes—
503#385C2318yes—
504#385C2318yes—
505#385C2318yes—
506#385C2318yes—
507#385C2318yes—
508#385C2318yes—
509#385C2318yes—
510#385C2318yescomplemented
511#385C2318yescomplemented
512#382C2318yescomplemented
513#381C2318yes—
514#380C2318yes—
515#380C2318yes—
516#380C2318yes—
517#380C2318yes—
518#380C2318yescomplemented
519#380C2318yescomplemented
520#380C2318yescomplemented
521#379C2318yes—
522#379C2318yes—
523C4×C4⋊C4C2318yescomplemented
524C4×C4⋊C4C2318yescomplemented
525C4×C4⋊C4C2318yescomplemented
526C4×C22⋊C4C2318yes—
527C4×C22⋊C4C2318yes—
528C4×C22⋊C4C2318yes—
529C4×C22⋊C4C2318yes—
530C4×C22⋊C4C2318yescomplemented
531C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2318yescomplemented
571C25—24no—
572C25—24no—
573C25—24no—
574C25—42no—
575C25—42no—
576C25—42no—
577C25—42no—
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C25C2411yescharacteristic
581C25C2411yescharacteristic
582C25C2411yescharacteristic
583C25C2414yes—
584C22×Q8—24no—
585C22×Q8—24no—
586C22×Q8—24no—
587C22×Q8—24no—
588C22×Q8—24no—
589C22×Q8—42no—
590C22×Q8—42no—
591C22×Q8—42no—
592C22×Q8—42no—
593C22×Q8—42no—
594C22×Q8—42no—
595C22×Q8—42no—
596C22×Q8C2414yes—
597C22×Q8C2414yes—
598C22×Q8C2414yes—
599C22×Q8C2414yes—
600C22×D4—24no—
601C22×D4—24no—
602C22×D4—24no—
603C22×D4—24no—
604C22×D4—24no—
605C22×D4—24no—
606C22×D4—24no—
607C22×D4—24no—
608C22×D4—24no—
609C22×D4—24no—
610C22×D4—42no—
611C22×D4—42no—
612C22×D4—42no—
613C22×D4—42no—
614C22×D4—42no—
615C22×D4—42no—
616C22×D4—42no—
617C22×D4—42no—
618C22×D4—42no—
619C22×D4—42no—
620C22×D4C2×D418yes—
621C22×D4C2414yes—
622C22×D4C2414yes—
623C22×D4C2414yes—
624C22×D4C2414yes—
625C22×D4C2414yes—
626C22×D4C2414yes—
627C22×D4C2414yes—
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—24no—
638C23×C4—24no—
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×C4—42no—
650C23×C4—42no—
651C23×C4—42no—
652C23×C4—42no—
653C23×C4—42no—
654C23×C4—42no—
655C23×C4—42no—
656C23×C4—42no—
657C23×C4C2×D418yes—
658C23×C4C2411yescharacteristic
659C23×C4C2411yescharacteristic
660C23×C4C2411yescharacteristic
661C23×C4C2411yescharacteristic
662C23×C4C2411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667C23×C4C2411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672C23×C4C2411yescharacteristic
673C23×C4C2411yescharacteristic
674C23×C4C2411yescharacteristic
675C23×C4C2411yescharacteristic
676C23×C4C2414yes—
677C23×C4C2414yes—
678C23×C4C2414yes—
679C23×C4C2411yescharacteristic
680C23×C4C2411yescharacteristic
681C23×C4C2411yescharacteristic
682C23×C4C2411yescharacteristic
683C23×C4C2411yescharacteristic
684C23×C4C2411yescharacteristic
685C23×C4C2411yescharacteristic
686C23×C4C2411yescharacteristic
687C23×C4C2414yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2414yes—
691C23×C4C2414yes—
692C23×C4C2414yes—
693C23×C4C2414yes—
694C4⋊Q8—232no—
695C4⋊Q8—416no—
696#126—232no—
697#126—232no—
698#126—232no—
699#126—232no—
700#124—232no—
701#124—232no—
702#124—232no—
703#124—232no—
704#123—232no—
705#123—232no—
706#123—232no—
707#123C2×D4164yescomplemented
708C22⋊Q8—232no—
709C22⋊Q8—232no—
710C22⋊Q8—232no—
711C22⋊Q8—232no—
712C22⋊Q8—232no—
713C22⋊Q8—232no—
714C22⋊Q8—416no—
715#121—232no—
716#121—232no—
717#120—232no—
718#120—416no—
719C4×Q8—232no—
720C4×D4—232no—
721C4×D4—232no—
722C4×D4—232no—
723C4×D4—416no—
724C4×D4—416no—
725#117—232no—
726#117—232no—
727#117—232no—
728#117—416no—
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—24no—
744C2×C4⋊C4—24no—
745C2×C4⋊C4—24no—
746C2×C4⋊C4—24no—
747C2×C4⋊C4—24no—
748C2×C4⋊C4—24no—
749C2×C4⋊C4—24no—
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⋊C4C2×D418yes—
763C2×C4⋊C4C2×D418yes—
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×C22⋊C4—24no—
800C2×C22⋊C4—24no—
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—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—24no—
828C2×C22⋊C4—232no—
829C2×C22⋊C4—232no—
830C2×C22⋊C4—232no—
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—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⋊C4C2×D418yes—
847C2×C22⋊C4C2×D418yes—
848C2×C22⋊C4C2×D418yes—
849C2×C22⋊C4#4118yes—
850C2×C22⋊C4C2414yes—
851C2×C22⋊C4C2414yes—
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×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C42—24no—
899C2×C42—24no—
900C2×C42—24no—
901C2×C42—24no—
902C2×C42—24no—
903C2×C42—24no—
904C2×C42—24no—
905C2×C42—24no—
906C2×C42—24no—
907C2×C42—42no—
908C2×C42—42no—
909C2×C42—42no—
910C2×C42C2414yes—
911C2×C42C2414yes—
912C2×C42C2414yes—
913C2×C42C2414yes—
914C2×C42C2414yes—
915C2×C42C2414yes—
916C2×C42C2414yes—
917C2×C42C2414yes—
918C2×C42C2414yes—
919C2×C42C2414yes—
920C2×C42C2414yes—
921C2×C42C2414yes—
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—
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—22no—
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—28no—
992C24—28no—
993C24—28no—
994C24—44no—
995C24—44no—
996C24—44no—
997C24—44no—
998C24—416no—
999C24—416no—
1000C24—416no—
1001C24—88no—
1002C24—88no—
1003C24—88no—
1004C24—88no—
1005C24C22×D414yes—
1006C24C22×D414yes—
1007C24C2×#4114yes—
1008C242−1+414yes—
1009C24C2512yes—
1010C24C2512yes—
1011C24C2512yes—
1012C24C2512yes—
1013C24C2512yes—
1014C24C2511yescharacteristic
1015C2×Q8—28no—
1016C2×Q8—28no—
1017C2×Q8—28no—
1018C2×Q8—28no—
1019C2×Q8—28no—
1020C2×Q8—44no—
1021C2×Q8—44no—
1022C2×Q8—44no—
1023C2×Q8—44no—
1024C2×Q8—44no—
1025C2×Q8—44no—
1026C2×Q8—44no—
1027C2×Q8—416no—
1028C2×Q8—88no—
1029C2×Q8—88no—
1030C2×Q8—88no—
1031C2×D4—28no—
1032C2×D4—28no—
1033C2×D4—28no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—28no—
1037C2×D4—28no—
1038C2×D4—28no—
1039C2×D4—28no—
1040C2×D4—28no—
1041C2×D4—44no—
1042C2×D4—416no—
1043C2×D4—44no—
1044C2×D4—44no—
1045C2×D4—44no—
1046C2×D4—44no—
1047C2×D4—44no—
1048C2×D4—416no—
1049C2×D4—416no—
1050C2×D4—44no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—44no—
1054C2×D4—416no—
1055C2×D4—416no—
1056C2×D4—88no—
1057C2×D4—88no—
1058C2×D4C22×D4116yes—
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—28no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—28no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—22no—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—22no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—28no—
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—22no—
1132C22×C4—28no—
1133C22×C4—28no—
1134C22×C4—28no—
1135C22×C4—28no—
1136C22×C4—28no—
1137C22×C4—28no—
1138C22×C4—28no—
1139C22×C4—28no—
1140C22×C4—44no—
1141C22×C4—416no—
1142C22×C4—44no—
1143C22×C4—44no—
1144C22×C4—44no—
1145C22×C4—44no—
1146C22×C4—44no—
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—416no—
1160C22×C4—416no—
1161C22×C4—416no—
1162C22×C4—88no—
1163C22×C4—88no—
1164C22×C4—88no—
1165C22×C4—88no—
1166C22×C4—88no—
1167C22×C4—88no—
1168C22×C4C22×D414yes—
1169C22×C4C22×D414yes—
1170C22×C4C22×D414yes—
1171C22×C4C22×D414yes—
1172C22×C4C22×D414yes—
1173C22×C4C22×D4116yes—
1174C22×C4C2×#4114yes—
1175C22×C4C2×#4114yes—
1176C22×C4H(5,𝔽2)14yes—
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—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2512yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
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—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—28no—
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⋊C4C22×D4116yes—
1237C4⋊C4C22×D4116yes—
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—28no—
1262C22⋊C4—28no—
1263C22⋊C4—28no—
1264C22⋊C4—28no—
1265C22⋊C4—28no—
1266C22⋊C4—28no—
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⋊C4—44no—
1282C22⋊C4C22×D4116yes—
1283C22⋊C4C22×D4116yes—
1284C22⋊C4C22×D4116yes—
1285C22⋊C4C2×#41116yes—
1286C42—28no—
1287C42—28no—
1288C42—28no—
1289C42—28no—
1290C42—28no—
1291C42—28no—
1292C42—28no—
1293C42—28no—
1294C42—28no—
1295C42—44no—
1296C42—44no—
1297C42—44no—
1298C23—22no—
1299C23—22no—
1300C23—22no—
1301C23—22no—
1302C23—22no—
1303C23—22no—
1304C23—22no—
1305C23—22no—
1306C23—22no—
1307C23—22no—
1308C23—22no—
1309C23—22no—
1310C23—22no—
1311C23—22no—
1312C23—22no—
1313C23—22no—
1314C23—22no—
1315C23—22no—
1316C23—22no—
1317C23—22no—
1318C23—22no—
1319C23—22no—
1320C23—22no—
1321C23—22no—
1322C23—28no—
1323C23—28no—
1324C23—28no—
1325C23—28no—
1326C23—28no—
1327C23—28no—
1328C23—28no—
1329C23—28no—
1330C23—28no—
1331C23—28no—
1332C23—28no—
1333C23—28no—
1334C23—22no—
1335C23—22no—
1336C23—22no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—416no—
1342C23—416no—
1343C23—416no—
1344C23—44no—
1345C23—44no—
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—44no—
1366C23—44no—
1367C23—88no—
1368C23—88no—
1369C23—88no—
1370C23—88no—
1371C23—864no—
1372C23C23×D414yes—
1373C23C23×D414yes—
1374C23C23×D412yes—
1375C23C22×#4114yes—
1376C23C22×#4112yes—
1377C23C2×H(5,𝔽2)12yes—
1378C23C2×2−1+414yes—
1379C23C2×2−1+412yes—
1380C23#58512yes—
1381C23#58512yes—
1382C23#58512yes—
1383C23C2611yescharacteristic
1384Q8—416no—
1385Q8—88no—
1386Q8—88no—
1387Q8—88no—
1388D4—416no—
1389D4—416no—
1390D4—416no—
1391D4—416no—
1392D4—416no—
1393D4—88no—
1394D4—88no—
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—22no—
1408C2×C4—22no—
1409C2×C4—22no—
1410C2×C4—22no—
1411C2×C4—28no—
1412C2×C4—28no—
1413C2×C4—28no—
1414C2×C4—28no—
1415C2×C4—28no—
1416C2×C4—28no—
1417C2×C4—28no—
1418C2×C4—28no—
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—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—416no—
1474C2×C4—416no—
1475C2×C4—416no—
1476C2×C4—416no—
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—44no—
1495C2×C4—88no—
1496C2×C4—88no—
1497C2×C4—88no—
1498C2×C4—88no—
1499C2×C4—88no—
1500C2×C4—88no—
1501C2×C4C23×D414yes—
1502C2×C4C23×D414yes—
1503C2×C4C23×D414yes—
1504C2×C4C23×D414yes—
1505C2×C4C23×D414yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4114yes—
1508C2×C4C2×H(5,𝔽2)14yes—
1509C22—24no—
1510C22—24no—
1511C22—24no—
1512C22—24no—
1513C22—24no—
1514C22—24no—
1515C22—24no—
1516C22—24no—
1517C22—24no—
1518C22—24no—
1519C22—24no—
1520C22—24no—
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—416no—
1537C22—416no—
1538C22—416no—
1539C22—416no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—42no—
1544C22—42no—
1545C22—42no—
1546C22—42no—
1547C22—42no—
1548C22—832no—
1549C22—88no—
1550C22D4×#4114yes—
1551C22#348914yes—
1552C22#349514yes—
1553C22#349614yes—
1554C22#351414yes—
1555C22#353514yes—
1556C22#356814yes—
1557C22C24×D411yescharacteristic
1558C22C23×#4111yescharacteristic
1559C22C22×H(5,𝔽2)11yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22C2×#58511yescharacteristic
1564C4—24no—
1565C4—24no—
1566C4—24no—
1567C4—24no—
1568C4—24no—
1569C4—24no—
1570C4—24no—
1571C4—24no—
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—
1586C4—42no—
1587C4—42no—
1588C4—42no—
1589C4—42no—
1590C2—44no—
1591C2—44no—
1592C2—44no—
1593C2—44no—
1594C2—82no—
1595C2#4391618yesdirect product factor
1596C2C2×D4×#4111yescharacteristic
1597C2C2×#353511yescharacteristic
1598C2C2×#356811yescharacteristic
1599C2C2×#349611yescharacteristic
1600C2C2×#351411yescharacteristic
1601C2C2×#348911yescharacteristic
1602C2C2×#349511yescharacteristic
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×#551C2semidirect
2. C22×#542C2semidirect
3. C2×#2715C2semidirect
4. C2×#2702C2semidirect
5. C2×#2695C2semidirect
6. C2×#2689C2semidirect
7. C2×#2686C2semidirect
8. C2×#2684C2semidirect
9. C2×#2677C2semidirect
10. C2×#2672C2semidirect
11. #43916C2direct (N × H)
12. C2×#2547C2semidirect
13. C2×#2564C2semidirect
14. C2×#2557C2semidirect
15. C2×#2553C2semidirect
16. C2×#2553C2semidirect
17. C2×#2479C2semidirect
18. C2×#2478C2semidirect
19. C2×#2477C2semidirect
20. C2×#2415C2semidirect
21. C2×#2439C2semidirect
22. C2×#2465C2semidirect
23. C2×#2452C2semidirect
24. C2×#2472C2semidirect
26. C2×#2418C2semidirect
27. C2×#2437C2semidirect
28. C2×#2392C2semidirect
29. C2×#2362C2semidirect
30. C2×#2359C2semidirect
31. C2×#2342C2semidirect
32. C2×#2325C2semidirect
34. C2×#551C22semidirect
36. C2×#542C22semidirect
37. C22×C4⋊Q8C22semidirect
38. C22×C4⋊Q8C22semidirect
41. C22×#126C22semidirect
42. C22×#126C22semidirect
46. C22×#124C22semidirect
56. C22×C22⋊Q8C22semidirect
57. C22×C22⋊Q8C22semidirect
62. C22×C4×Q8C22semidirect
67. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
75. #2715C22semidirect
76. #2702C22semidirect
77. #2695C22semidirect
78. #2689C22semidirect
79. #2686C22semidirect
80. #2684C22semidirect
81. #2677C22semidirect
82. #2672C22semidirect
83. #2564C22semidirect
84. #2557C22semidirect
85. #2553C22semidirect
86. #2553C22semidirect
87. #2547C22semidirect
88. #2479C22semidirect
89. #2478C22semidirect
90. #2477C22semidirect
91. #2472C22semidirect
92. #2465C22semidirect
93. #2452C22semidirect
94. #2439C22semidirect
95. #2437C22semidirect
97. #2418C22semidirect
98. #2415C22semidirect
99. C2×#400C22semidirect
100. C2×#400C22semidirect
103. C2×#399C22semidirect
104. #2392C22semidirect
105. C2×#398C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#395C22semidirect
123. C2×#395C22semidirect
124. C2×#395C22semidirect
133. C2×#394C22semidirect
138. C2×#393C22semidirect
140. #2362C22semidirect
141. #2359C22semidirect
142. #2342C22semidirect
143. #2325C22semidirect
144. C2×#391C22semidirect
145. C2×#391C22semidirect
146. C2×#391C22semidirect
147. C2×#391C22semidirect
150. C2×#389C22semidirect
151. C2×#389C22semidirect
152. C2×#389C22semidirect
153. C2×#389C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
173. C2×#387C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
189. C2×#386C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#382C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
211. C2×C4×C4⋊C4C22semidirect
212. C2×C4×C4⋊C4C22semidirect
213. C2×C4×C4⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
247. C2×C4⋊Q8C23semidirect
248. C2×C4⋊Q8C23semidirect
255. C2×#126C23semidirect
256. C2×#126C23semidirect
264. C2×#124C23semidirect
268. C2×#123D4semidirect
285. C2×C22⋊Q8C23semidirect
286. C2×C22⋊Q8C23semidirect
296. C2×C4×Q8C23semidirect
306. C2×C4×D4C23semidirect
314. C2×#117C23semidirect
416. #400C23semidirect
417. #400C23semidirect
420. #399C23semidirect
421. #398C23semidirect
422. #398C23semidirect
423. #398C23semidirect
424. #398C23semidirect
429. #397C23semidirect
430. #397C23semidirect
431. #397C23semidirect
432. #397C23semidirect
436. #396C23semidirect
437. #396C23semidirect
438. #395C23semidirect
439. #395C23semidirect
440. #395C23semidirect
449. #394C23semidirect
454. #393C23semidirect
456. #391C23semidirect
457. #391C23semidirect
458. #391C23semidirect
459. #391C23semidirect
462. #389C23semidirect
463. #389C23semidirect
464. #389C23semidirect
465. #389C23semidirect
466. #389C23semidirect
467. #389C23semidirect
468. #389C23semidirect
480. #388C23semidirect
481. #388C23semidirect
482. #388C23semidirect
483. #387C23semidirect
484. #387C23semidirect
485. #387C23semidirect
486. #387C23semidirect
487. #387C23semidirect
488. #387C23semidirect
489. #387C23semidirect
490. #387C23semidirect
491. #387C23semidirect
501. #386C23semidirect
510. #385C23semidirect
511. #385C23semidirect
512. #382C23semidirect
518. #380C23semidirect
519. #380C23semidirect
520. #380C23semidirect
523. C4×C4⋊C4C23semidirect
524. C4×C4⋊C4C23semidirect
525. C4×C4⋊C4C23semidirect
530. C4×C22⋊C4C23semidirect
531. C4×C22⋊C4C23semidirect
570. C2×#95C23semidirect
707. #123C2×D4semidirect
1595. C2#43916direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5512
C22×#5422
C2×#27152
C2×#27022
C2×#26952
C2×#26892
C2×#26862
C2×#26842
C2×#26772
C2×#26722
#439162
C2×#25472
C2×#25642
C2×#25572
C2×#25532
C2×#24792
C2×#24782
C2×#24772
C2×#24152
C2×#24392
C2×#24652
C2×#24522
C2×#24722
C2×#24242
C2×#24182
C2×#24372
C2×#23922
C2×#23622
C2×#23592
C2×#23422
C2×#23252