Finite Group Databasebeta

← C2×#50682 #7706290

Subgroups — C2×#50682 #7706290

Order 512.

7958 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#559C211yesmaximal, characteristic, complemented
2C22×#562C211yesmaximal, characteristic, complemented
3C2×#2712C211yesmaximal, characteristic, complemented
4C2×#2712C211yesmaximal, characteristic, complemented
5C2×#2710C211yesmaximal, characteristic, complemented
6C2×#2708C211yesmaximal, characteristic, complemented
7C2×#2696C211yesmaximal, characteristic, complemented
8C2×#2694C211yesmaximal, characteristic, complemented
9C2×#2682C211yesmaximal, characteristic, complemented
10C2×#2681C211yesmaximal, characteristic, complemented
11C2×#2676C211yesmaximal, characteristic, complemented
12C2×#2674C211yesmaximal, characteristic, complemented
13C2×#2673C211yesmaximal, characteristic, complemented
14C2×#2672C211yesmaximal, characteristic, complemented
15#50682C2132yesmaximal, direct product factor
16C2×#2557C211yesmaximal, characteristic, complemented
17C2×#2491C211yesmaximal, characteristic, complemented
18C2×#2453C211yesmaximal, characteristic, complemented
19C2×#2458C211yesmaximal, characteristic, complemented
20C2×#2429C211yesmaximal, characteristic, complemented
21C2×#2465C211yesmaximal, characteristic, complemented
22C2×#2417C211yesmaximal, characteristic, complemented
23C2×#2428C211yesmaximal, characteristic, complemented
24C2×#2461C211yesmaximal, characteristic, complemented
25C2×#2464C211yesmaximal, characteristic, complemented
26C2×#2416C211yesmaximal, characteristic, complemented
27C2×#2450C211yesmaximal, characteristic, complemented
28C2×#2425C211yesmaximal, characteristic, complemented
29C2×#2425C211yesmaximal, characteristic, complemented
30C2×#2638C211yesmaximal, characteristic, complemented
31C2×#2635C211yesmaximal, characteristic, complemented
32C2×#2322C211yesmaximal, characteristic, complemented
33C2×#562—216no—
34C2×#562C22116yescomplemented
35C2×#559—216no—
36C2×#559C22116yescomplemented
37C22×C4⋊Q8C2211yescharacteristic
38C22×#127C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C22×#124C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×#123C2211yescharacteristic
52C22×#123C2211yescharacteristic
53C22×#123C2211yescharacteristic
54C22×#123C2211yescharacteristic
55C22×C22⋊Q8C2211yescharacteristic
56C22×C22⋊Q8C2211yescharacteristic
57C22×C22⋊Q8C2211yescharacteristic
58C22×C22⋊Q8C2211yescharacteristic
59C22×C22⋊Q8C2211yescharacteristic
60C22×C22⋊Q8C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C22×#121C2211yescharacteristic
67C22×#121C2211yescharacteristic
68C22×#121C2211yescharacteristic
69C22×#121C2211yescharacteristic
70C22×C4×Q8C2211yescharacteristic
71C22×C4×Q8C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C23×C4⋊C4C2211yescharacteristic
78#2712C22116yescomplemented
79#2712C22116yescomplemented
80#2710C22116yescomplemented
81#2708C22116yescomplemented
82#2696C22116yescomplemented
83#2694C22116yescomplemented
84#2682C22116yescomplemented
85#2681C22116yescomplemented
86#2676C22116yescomplemented
87#2674C22116yescomplemented
88#2673C22116yescomplemented
89#2672C22116yescomplemented
90#2638C22116yescomplemented
91#2635C22116yescomplemented
92#2557C22116yescomplemented
93#2491C22116yescomplemented
94#2465C22116yescomplemented
95#2464C22116yescomplemented
96#2461C22116yescomplemented
97#2458C22116yescomplemented
98#2453C22116yescomplemented
99#2450C22116yescomplemented
100#2429C22116yescomplemented
101#2428C22116yescomplemented
102#2425C22116yescomplemented
103#2425C22116yescomplemented
104#2417C22116yescomplemented
105#2416C22116yescomplemented
106C2×#400C2211yescharacteristic
107C2×#400C2211yescharacteristic
108C2×#399C2211yescharacteristic
109C2×#399C2211yescharacteristic
110C2×#398C2211yescharacteristic
111C2×#398C2211yescharacteristic
112C2×#398C2211yescharacteristic
113C2×#398C2211yescharacteristic
114C2×#398C2211yescharacteristic
115C2×#397C2211yescharacteristic
116C2×#397C2211yescharacteristic
117C2×#397C2211yescharacteristic
118C2×#397C2211yescharacteristic
119C2×#397C2211yescharacteristic
120C2×#396C2211yescharacteristic
121C2×#396C2211yescharacteristic
122C2×#396C2211yescharacteristic
123C2×#396C2211yescharacteristic
124C2×#396C2211yescharacteristic
125C2×#396C2211yescharacteristic
126C2×#395C2211yescharacteristic
127C2×#395C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic
132C2×#394C2211yescharacteristic
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#393C2211yescharacteristic
142C2×#393C2211yescharacteristic
143C2×#393C2211yescharacteristic
144C2×#393C2211yescharacteristic
145C2×#393C2211yescharacteristic
146C2×#393C2211yescharacteristic
147C2×#392C2211yescharacteristic
148C2×#392C2211yescharacteristic
149C2×#392C2211yescharacteristic
150C2×#392C2211yescharacteristic
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154#2322C22116yescomplemented
155C2×#391C2211yescharacteristic
156C2×#391C2211yescharacteristic
157C2×#391C2211yescharacteristic
158C2×#391C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic
161C2×#390C2211yescharacteristic
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#389C2211yescharacteristic
165C2×#389C2211yescharacteristic
166C2×#389C2211yescharacteristic
167C2×#389C2211yescharacteristic
168C2×#389C2211yescharacteristic
169C2×#389C2211yescharacteristic
170C2×#389C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic
176C2×#388C2211yescharacteristic
177C2×#388C2211yescharacteristic
178C2×#388C2211yescharacteristic
179C2×#388C2211yescharacteristic
180C2×#388C2211yescharacteristic
181C2×#388C2211yescharacteristic
182C2×#388C2211yescharacteristic
183C2×#387C2211yescharacteristic
184C2×#387C2211yescharacteristic
185C2×#387C2211yescharacteristic
186C2×#387C2211yescharacteristic
187C2×#387C2211yescharacteristic
188C2×#387C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic
199C2×#386C2211yescharacteristic
200C2×#386C2211yescharacteristic
201C2×#386C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic
206C2×#385C2211yescharacteristic
207C2×#385C2211yescharacteristic
208C2×#385C2211yescharacteristic
209C2×#385C2211yescharacteristic
210C2×#385C2211yescharacteristic
211C2×#381C2211yescharacteristic
212C2×#380C2211yescharacteristic
213C2×#380C2211yescharacteristic
214C2×#380C2211yescharacteristic
215C2×#380C2211yescharacteristic
216C2×C4×C4⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic
218C2×C4×C22⋊C4C2211yescharacteristic
219C2×C4×C22⋊C4C2211yescharacteristic
220C22×#95C2211yescharacteristic
221C23×Q8C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×D4C2311yescharacteristic
226C23×D4C2311yescharacteristic
227C23×D4C2311yescharacteristic
228C23×D4C2311yescharacteristic
229C23×D4C2311yescharacteristic
230C23×D4C2311yescharacteristic
231C23×D4C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C24×C4C2311yescharacteristic
241C24×C4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250#562—2128no—
251#559—2128no—
252C2×C4⋊Q8—44no—
253C2×C4⋊Q8C2318yes—
254C2×#127—28no—
255C2×#127C2318yes—
256C2×#125—28no—
257C2×#125C2318yes—
258C2×#124—28no—
259C2×#124—28no—
260C2×#124—28no—
261C2×#124—28no—
262C2×#124—28no—
263C2×#124—28no—
264C2×#124C2318yes—
265C2×#124C2318yes—
266C2×#124C2318yes—
267C2×#124C2318yes—
268C2×#124C2318yes—
269C2×#124C2318yes—
270C2×#123—28no—
271C2×#123—28no—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—44no—
277C2×#123—44no—
278C2×#123D4116yescomplemented
279C2×#123C2318yes—
280C2×#123C2318yes—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yes—
286C2×#123C2318yes—
287C2×#123C2318yes—
288C2×C22⋊Q8—28no—
289C2×C22⋊Q8—28no—
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8—44no—
293C2×C22⋊Q8—44no—
294C2×C22⋊Q8C2318yes—
295C2×C22⋊Q8C2318yes—
296C2×C22⋊Q8C2318yes—
297C2×C22⋊Q8C2318yes—
298C2×C22⋊Q8C2318yes—
299C2×C22⋊Q8C2318yes—
300C2×#121—28no—
301C2×#121—28no—
302C2×#121—28no—
303C2×#121—28no—
304C2×#121—44no—
305C2×#121—44no—
306C2×#121—44no—
307C2×#121—44no—
308C2×#121—44no—
309C2×#121C2318yes—
310C2×#121C2318yes—
311C2×#121C2318yes—
312C2×#121C2318yes—
313C2×#121C2318yes—
314C2×#121C2318yes—
315C2×#121C2318yes—
316C2×#121C2318yes—
317C2×#121C2318yes—
318C2×C4×Q8—28no—
319C2×C4×Q8—28no—
320C2×C4×Q8C2318yes—
321C2×C4×Q8C2318yes—
322C2×C4×D4—28no—
323C2×C4×D4—28no—
324C2×C4×D4—28no—
325C2×C4×D4—28no—
326C2×C4×D4—44no—
327C2×C4×D4C2318yes—
328C2×C4×D4C2318yes—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yes—
332C22×C4⋊C4—44no—
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×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2318yes—
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊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⋊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⋊C4C2311yescharacteristic
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2311yescharacteristic
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2311yescharacteristic
407C22×C22⋊C4C2311yescharacteristic
408C22×C22⋊C4C2311yescharacteristic
409C22×C22⋊C4C2311yescharacteristic
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426#400C2318yes—
427#400C2318yes—
428#399C2318yes—
429#399C2318yes—
430#398C2318yes—
431#398C2318yes—
432#398C2318yes—
433#398C2318yes—
434#398C2318yes—
435#397C2318yes—
436#397C2318yes—
437#397C2318yes—
438#397C2318yes—
439#397C2318yes—
440#396C2318yes—
441#396C2318yes—
442#396C2318yes—
443#396C2318yes—
444#396C2318yes—
445#396C2318yes—
446#395C2318yes—
447#395C2318yes—
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yes—
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#393C2318yes—
462#393C2318yes—
463#393C2318yes—
464#393C2318yes—
465#393C2318yes—
466#393C2318yes—
467#392C2318yes—
468#392C2318yes—
469#392C2318yes—
470#392C2318yes—
471#392C2318yes—
472#392C2318yes—
473#392C2318yes—
474#391C2318yes—
475#391C2318yes—
476#391C2318yes—
477#391C2318yes—
478#390C2318yes—
479#390C2318yes—
480#390C2318yes—
481#390C2318yes—
482#390C2318yes—
483#389C2318yes—
484#389C2318yes—
485#389C2318yes—
486#389C2318yes—
487#389C2318yes—
488#389C2318yes—
489#389C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2318yes—
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yes—
497#388C2318yes—
498#388C2318yes—
499#388C2318yes—
500#388C2318yes—
501#388C2318yes—
502#387C2318yes—
503#387C2318yes—
504#387C2318yes—
505#387C2318yes—
506#387C2318yes—
507#387C2318yes—
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#386C2318yes—
520#386C2318yes—
521#385C2318yes—
522#385C2318yes—
523#385C2318yes—
524#385C2318yes—
525#385C2318yes—
526#385C2318yes—
527#385C2318yes—
528#385C2318yes—
529#385C2318yes—
530#381C2318yes—
531#380C2318yes—
532#380C2318yes—
533#380C2318yes—
534#380C2318yes—
535C4×C4⋊C4C2318yes—
536C4×C22⋊C4C2318yes—
537C4×C22⋊C4C2318yes—
538C4×C22⋊C4C2318yes—
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×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2318yes—
574C25C2411yescharacteristic
575C25C2411yescharacteristic
576C25C2411yescharacteristic
577C25C2411yescharacteristic
578C25C2411yescharacteristic
579C25C2411yescharacteristic
580C22×Q8—24no—
581C22×Q8—24no—
582C22×Q8—24no—
583C22×Q8—24no—
584C22×Q8—24no—
585C22×Q8—24no—
586C22×Q8—42no—
587C22×Q8—42no—
588C22×Q8—42no—
589C22×Q8—42no—
590C22×Q8—42no—
591C22×Q8—42no—
592C22×Q8C2414yes—
593C22×Q8C2414yes—
594C22×Q8C2414yes—
595C22×Q8C2414yes—
596C22×D4—24no—
597C22×D4—24no—
598C22×D4—24no—
599C22×D4—24no—
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—24no—
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×D4—42no—
621C22×D4—42no—
622C22×D4—42no—
623C22×D4—42no—
624C22×D4—42no—
625C22×D4—42no—
626C22×D4—42no—
627C22×D4—42no—
628C22×D4—42no—
629C22×D4—42no—
630C22×D4—42no—
631C22×D4—42no—
632C22×D4—42no—
633C22×D4—42no—
634C22×D4—42no—
635C22×D4—42no—
636C22×D4—42no—
637C22×D4—42no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4C2×D418yes—
641C22×D4C2414yes—
642C22×D4C2414yes—
643C22×D4C2414yes—
644C22×D4C2414yes—
645C22×D4C2414yes—
646C22×D4C2414yes—
647C22×D4C2414yes—
648C22×D4C2414yes—
649C22×D4C2414yes—
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2414yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C23×C4—24no—
657C23×C4—24no—
658C23×C4—24no—
659C23×C4—24no—
660C23×C4—24no—
661C23×C4—24no—
662C23×C4—24no—
663C23×C4—42no—
664C23×C4—42no—
665C23×C4—42no—
666C23×C4—42no—
667C23×C4—42no—
668C23×C4—42no—
669C23×C4—42no—
670C23×C4—42no—
671C23×C4—42no—
672C23×C4—42no—
673C23×C4—42no—
674C23×C4—42no—
675C23×C4—42no—
676C23×C4—42no—
677C23×C4—42no—
678C23×C4—42no—
679C23×C4—42no—
680C23×C4—42no—
681C23×C4—42no—
682C23×C4—42no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4C2×D418yes—
686C23×C4C2411yescharacteristic
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2411yescharacteristic
690C23×C4C2411yescharacteristic
691C23×C4C2411yescharacteristic
692C23×C4C2411yescharacteristic
693C23×C4C2411yescharacteristic
694C23×C4C2411yescharacteristic
695C23×C4C2411yescharacteristic
696C23×C4C2411yescharacteristic
697C23×C4C2411yescharacteristic
698C23×C4C2411yescharacteristic
699C23×C4C2411yescharacteristic
700C23×C4C2411yescharacteristic
701C23×C4C2411yescharacteristic
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2414yes—
712C23×C4C2414yes—
713C23×C4C2414yes—
714C23×C4C2414yes—
715C23×C4C2414yes—
716C23×C4C2414yes—
717C23×C4C2414yes—
718C23×C4C2414yes—
719C23×C4C2414yes—
720C23×C4C2414yes—
721C4⋊Q8—416no—
722#127—232no—
723#125—232no—
724#124—232no—
725#124—232no—
726#124—232no—
727#124—232no—
728#124—232no—
729#124—232no—
730#123—232no—
731#123—232no—
732#123—232no—
733#123—232no—
734#123—232no—
735#123—232no—
736#123—416no—
737#123—416no—
738#123C2×D4164yescomplemented
739C22⋊Q8—232no—
740C22⋊Q8—232no—
741C22⋊Q8—232no—
742C22⋊Q8—232no—
743C22⋊Q8—416no—
744C22⋊Q8—416no—
745#121—232no—
746#121—232no—
747#121—232no—
748#121—232no—
749#121—416no—
750#121—416no—
751#121—416no—
752#121—416no—
753#121—416no—
754C4×Q8—232no—
755C4×Q8—232no—
756C4×D4—232no—
757C4×D4—232no—
758C4×D4—232no—
759C4×D4—232no—
760C4×D4—416no—
761C2×C4⋊C4—24no—
762C2×C4⋊C4—24no—
763C2×C4⋊C4—24no—
764C2×C4⋊C4—24no—
765C2×C4⋊C4—24no—
766C2×C4⋊C4—24no—
767C2×C4⋊C4—24no—
768C2×C4⋊C4—24no—
769C2×C4⋊C4—24no—
770C2×C4⋊C4—24no—
771C2×C4⋊C4—24no—
772C2×C4⋊C4—24no—
773C2×C4⋊C4—24no—
774C2×C4⋊C4—24no—
775C2×C4⋊C4—24no—
776C2×C4⋊C4—24no—
777C2×C4⋊C4—24no—
778C2×C4⋊C4—24no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—416no—
782C2×C4⋊C4—42no—
783C2×C4⋊C4—42no—
784C2×C4⋊C4—42no—
785C2×C4⋊C4—42no—
786C2×C4⋊C4—42no—
787C2×C4⋊C4—42no—
788C2×C4⋊C4—42no—
789C2×C4⋊C4—42no—
790C2×C4⋊C4—42no—
791C2×C4⋊C4—42no—
792C2×C4⋊C4—42no—
793C2×C4⋊C4C2×D418yes—
794C2×C4⋊C4C2×D418yes—
795C2×C4⋊C4C2414yes—
796C2×C4⋊C4C2414yes—
797C2×C4⋊C4C2414yes—
798C2×C4⋊C4C2414yes—
799C2×C4⋊C4C2414yes—
800C2×C4⋊C4C2414yes—
801C2×C4⋊C4C2414yes—
802C2×C4⋊C4C2414yes—
803C2×C4⋊C4C2414yes—
804C2×C4⋊C4C2414yes—
805C2×C4⋊C4C2414yes—
806C2×C4⋊C4C2414yes—
807C2×C4⋊C4C2414yes—
808C2×C4⋊C4C2414yes—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C22⋊C4—24no—
829C2×C22⋊C4—24no—
830C2×C22⋊C4—24no—
831C2×C22⋊C4—24no—
832C2×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—24no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—42no—
854C2×C22⋊C4—42no—
855C2×C22⋊C4—42no—
856C2×C22⋊C4—42no—
857C2×C22⋊C4—42no—
858C2×C22⋊C4—42no—
859C2×C22⋊C4—42no—
860C2×C22⋊C4—42no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—42no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4C2×D418yes—
876C2×C22⋊C4C2×D418yes—
877C2×C22⋊C4C2×D418yes—
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×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C42—24no—
929C2×C42—24no—
930C2×C42—24no—
931C2×C42—24no—
932C2×C42—24no—
933C2×C42—24no—
934C2×C42—42no—
935C2×C42—42no—
936C2×C42—42no—
937C2×C42C2414yes—
938C2×C42C2414yes—
939C2×C42C2414yes—
940C2×C42C2414yes—
941C2×C42C2414yes—
942C2×C42C2414yes—
943C2×C42C2414yes—
944C2×C42C2414yes—
945C2×C42C2414yes—
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—
960#95C2414yes—
961#95C2414yes—
962#95C2414yes—
963#95C2414yes—
964#95C2414yes—
965#95C2414yes—
966#95C2414yes—
967#95C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
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—22no—
993C24—22no—
994C24—22no—
995C24—22no—
996C24—22no—
997C24—22no—
998C24—22no—
999C24—22no—
1000C24—22no—
1001C24—22no—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24C22×D414yes—
1021C24C22×D414yes—
1022C24C2512yes—
1023C24C2512yes—
1024C24C2512yes—
1025C24C2512yes—
1026C24C2512yes—
1027C24C2512yes—
1028C24C2511yescharacteristic
1029C2×Q8—28no—
1030C2×Q8—28no—
1031C2×Q8—28no—
1032C2×Q8—28no—
1033C2×Q8—28no—
1034C2×Q8—28no—
1035C2×Q8—44no—
1036C2×Q8—44no—
1037C2×Q8—44no—
1038C2×Q8—44no—
1039C2×Q8—44no—
1040C2×Q8—44no—
1041C2×Q8—416no—
1042C2×Q8—416no—
1043C2×Q8—88no—
1044C2×Q8—88no—
1045C2×D4—28no—
1046C2×D4—28no—
1047C2×D4—28no—
1048C2×D4—28no—
1049C2×D4—28no—
1050C2×D4—28no—
1051C2×D4—28no—
1052C2×D4—28no—
1053C2×D4—28no—
1054C2×D4—28no—
1055C2×D4—28no—
1056C2×D4—28no—
1057C2×D4—28no—
1058C2×D4—28no—
1059C2×D4—28no—
1060C2×D4—44no—
1061C2×D4—416no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—416no—
1068C2×D4—416no—
1069C2×D4—416no—
1070C2×D4—416no—
1071C2×D4—44no—
1072C2×D4—44no—
1073C2×D4—44no—
1074C2×D4—44no—
1075C2×D4—44no—
1076C2×D4—44no—
1077C2×D4—44no—
1078C2×D4—44no—
1079C2×D4—44no—
1080C2×D4—44no—
1081C2×D4—44no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—44no—
1085C2×D4—44no—
1086C2×D4—44no—
1087C2×D4—44no—
1088C2×D4—44no—
1089C2×D4—44no—
1090C2×D4—44no—
1091C2×D4—44no—
1092C2×D4—44no—
1093C2×D4—44no—
1094C2×D4—88no—
1095C2×D4—88no—
1096C2×D4—88no—
1097C2×D4—88no—
1098C2×D4—88no—
1099C2×D4—88no—
1100C2×D4—88no—
1101C2×D4—88no—
1102C2×D4—88no—
1103C2×D4—88no—
1104C2×D4C22×D4116yes—
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—22no—
1132C22×C4—22no—
1133C22×C4—22no—
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—28no—
1173C22×C4—28no—
1174C22×C4—28no—
1175C22×C4—28no—
1176C22×C4—28no—
1177C22×C4—28no—
1178C22×C4—28no—
1179C22×C4—44no—
1180C22×C4—416no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4—44no—
1186C22×C4—44no—
1187C22×C4—44no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—44no—
1202C22×C4—88no—
1203C22×C4—88no—
1204C22×C4—88no—
1205C22×C4—88no—
1206C22×C4—88no—
1207C22×C4—88no—
1208C22×C4—88no—
1209C22×C4—88no—
1210C22×C4—88no—
1211C22×C4C22×D414yes—
1212C22×C4C22×D414yes—
1213C22×C4C22×D414yes—
1214C22×C4C22×D414yes—
1215C22×C4C22×D414yes—
1216C22×C4C22×D4116yes—
1217C22×C4H(5,𝔽2)14yes—
1218C22×C4H(5,𝔽2)14yes—
1219C22×C42−1+414yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C4⋊C4—28no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—28no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—28no—
1256C4⋊C4—28no—
1257C4⋊C4—28no—
1258C4⋊C4—28no—
1259C4⋊C4—28no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—28no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4C22×D4116yes—
1277C4⋊C4C22×D4116yes—
1278C22⋊C4—28no—
1279C22⋊C4—28no—
1280C22⋊C4—28no—
1281C22⋊C4—28no—
1282C22⋊C4—28no—
1283C22⋊C4—28no—
1284C22⋊C4—28no—
1285C22⋊C4—28no—
1286C22⋊C4—28no—
1287C22⋊C4—28no—
1288C22⋊C4—28no—
1289C22⋊C4—28no—
1290C22⋊C4—28no—
1291C22⋊C4—28no—
1292C22⋊C4—28no—
1293C22⋊C4—28no—
1294C22⋊C4—28no—
1295C22⋊C4—28no—
1296C22⋊C4—28no—
1297C22⋊C4—28no—
1298C22⋊C4—28no—
1299C22⋊C4—28no—
1300C22⋊C4—28no—
1301C22⋊C4—28no—
1302C22⋊C4—28no—
1303C22⋊C4—44no—
1304C22⋊C4—44no—
1305C22⋊C4—44no—
1306C22⋊C4—44no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—44no—
1316C22⋊C4—44no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4C22×D4116yes—
1326C22⋊C4C22×D4116yes—
1327C22⋊C4C22×D4116yes—
1328C42—28no—
1329C42—28no—
1330C42—28no—
1331C42—28no—
1332C42—28no—
1333C42—28no—
1334C42—44no—
1335C42—44no—
1336C42—44no—
1337C23—22no—
1338C23—22no—
1339C23—22no—
1340C23—22no—
1341C23—22no—
1342C23—22no—
1343C23—22no—
1344C23—22no—
1345C23—22no—
1346C23—22no—
1347C23—22no—
1348C23—22no—
1349C23—28no—
1350C23—28no—
1351C23—28no—
1352C23—28no—
1353C23—28no—
1354C23—28no—
1355C23—22no—
1356C23—22no—
1357C23—22no—
1358C23—22no—
1359C23—22no—
1360C23—22no—
1361C23—22no—
1362C23—22no—
1363C23—22no—
1364C23—22no—
1365C23—22no—
1366C23—22no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—22no—
1372C23—22no—
1373C23—22no—
1374C23—22no—
1375C23—22no—
1376C23—22no—
1377C23—22no—
1378C23—22no—
1379C23—22no—
1380C23—22no—
1381C23—22no—
1382C23—22no—
1383C23—44no—
1384C23—44no—
1385C23—44no—
1386C23—44no—
1387C23—44no—
1388C23—44no—
1389C23—44no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—44no—
1405C23—44no—
1406C23—44no—
1407C23—44no—
1408C23—44no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—44no—
1416C23—44no—
1417C23—44no—
1418C23—44no—
1419C23C23×D414yes—
1420C23C23×D414yes—
1421C23C23×D412yes—
1422C23C2×H(5,𝔽2)12yes—
1423C23C2×H(5,𝔽2)12yes—
1424C23C2×2−1+412yes—
1425C23#58512yes—
1426C23#58512yes—
1427C23#58512yes—
1428C23C2611yescharacteristic
1429Q8—416no—
1430Q8—416no—
1431Q8—88no—
1432Q8—88no—
1433D4—416no—
1434D4—416no—
1435D4—416no—
1436D4—416no—
1437D4—416no—
1438D4—88no—
1439D4—88no—
1440D4—88no—
1441D4—88no—
1442D4—88no—
1443D4—88no—
1444D4—88no—
1445D4—88no—
1446D4—88no—
1447D4—88no—
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—28no—
1465C2×C4—28no—
1466C2×C4—28no—
1467C2×C4—28no—
1468C2×C4—28no—
1469C2×C4—28no—
1470C2×C4—28no—
1471C2×C4—28no—
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—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—416no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—44no—
1532C2×C4—44no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—88no—
1542C2×C4—88no—
1543C2×C4—88no—
1544C2×C4—88no—
1545C2×C4—88no—
1546C2×C4—88no—
1547C2×C4—88no—
1548C2×C4—88no—
1549C2×C4—88no—
1550C2×C4C23×D414yes—
1551C2×C4C23×D414yes—
1552C2×C4C23×D414yes—
1553C2×C4C23×D414yes—
1554C2×C4C23×D414yes—
1555C2×C4C2×H(5,𝔽2)14yes—
1556C2×C4C2×H(5,𝔽2)14yes—
1557C2×C4C2×2−1+414yes—
1558C22—24no—
1559C22—24no—
1560C22—24no—
1561C22—24no—
1562C22—24no—
1563C22—24no—
1564C22—42no—
1565C22—42no—
1566C22—42no—
1567C22—42no—
1568C22—42no—
1569C22—42no—
1570C22—42no—
1571C22—42no—
1572C22—416no—
1573C22—416no—
1574C22—42no—
1575C22—42no—
1576C22—42no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—42no—
1582C22—42no—
1583C22—42no—
1584C22—42no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—42no—
1590C22—42no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—88no—
1603C22—88no—
1604C22—88no—
1605C22—88no—
1606C22#348814yes—
1607C22#348914yes—
1608C22#349614yes—
1609C22#355414yes—
1610C22#355414yes—
1611C22#355814yes—
1612C22#356614yes—
1613C22C24×D411yescharacteristic
1614C22C22×H(5,𝔽2)11yescharacteristic
1615C22C22×H(5,𝔽2)11yescharacteristic
1616C22C22×2−1+411yescharacteristic
1617C22C2×#58511yescharacteristic
1618C22C2×#58511yescharacteristic
1619C22C2×#58511yescharacteristic
1620C4—24no—
1621C4—24no—
1622C4—24no—
1623C4—24no—
1624C4—24no—
1625C4—24no—
1626C4—24no—
1627C4—24no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C2—44no—
1646C2—44no—
1647C2—82no—
1648C2—82no—
1649C2—82no—
1650C2—82no—
1651C2#5068218yesdirect product factor
1652C2C2×#355811yescharacteristic
1653C2C2×#356611yescharacteristic
1654C2C2×#355411yescharacteristic
1655C2C2×#355411yescharacteristic
1656C2C2×#349611yescharacteristic
1657C2C2×#348811yescharacteristic
1658C2C2×#348911yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
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×#559C2semidirect
2. C22×#562C2semidirect
3. C2×#2712C2semidirect
4. C2×#2712C2semidirect
5. C2×#2710C2semidirect
6. C2×#2708C2semidirect
7. C2×#2696C2semidirect
8. C2×#2694C2semidirect
9. C2×#2682C2semidirect
10. C2×#2681C2semidirect
11. C2×#2676C2semidirect
12. C2×#2674C2semidirect
13. C2×#2673C2semidirect
14. C2×#2672C2semidirect
15. #50682C2direct (N × H)
16. C2×#2557C2semidirect
17. C2×#2491C2semidirect
18. C2×#2453C2semidirect
19. C2×#2458C2semidirect
20. C2×#2429C2semidirect
21. C2×#2465C2semidirect
22. C2×#2417C2semidirect
23. C2×#2428C2semidirect
24. C2×#2461C2semidirect
25. C2×#2464C2semidirect
26. C2×#2416C2semidirect
27. C2×#2450C2semidirect
28. C2×#2425C2semidirect
29. C2×#2425C2semidirect
30. C2×#2638C2semidirect
31. C2×#2635C2semidirect
32. C2×#2322C2semidirect
34. C2×#562C22semidirect
36. C2×#559C22semidirect
78. #2712C22semidirect
79. #2712C22semidirect
80. #2710C22semidirect
81. #2708C22semidirect
82. #2696C22semidirect
83. #2694C22semidirect
84. #2682C22semidirect
85. #2681C22semidirect
86. #2676C22semidirect
87. #2674C22semidirect
88. #2673C22semidirect
89. #2672C22semidirect
90. #2638C22semidirect
91. #2635C22semidirect
92. #2557C22semidirect
93. #2491C22semidirect
94. #2465C22semidirect
95. #2464C22semidirect
96. #2461C22semidirect
97. #2458C22semidirect
98. #2453C22semidirect
99. #2450C22semidirect
100. #2429C22semidirect
101. #2428C22semidirect
102. #2425C22semidirect
103. #2425C22semidirect
104. #2417C22semidirect
105. #2416C22semidirect
154. #2322C22semidirect
278. C2×#123D4semidirect
738. #123C2×D4semidirect
1651. C2#50682direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5592
C22×#5622
C2×#27122
C2×#27102
C2×#27082
C2×#26962
C2×#26942
C2×#26822
C2×#26812
C2×#26762
C2×#26742
C2×#26732
C2×#26722
#506822
C2×#25572
C2×#24912
C2×#24532
C2×#24582
C2×#24292
C2×#24652
C2×#24172
C2×#24282
C2×#24612
C2×#24642
C2×#24162
C2×#24502
C2×#24252
C2×#26382
C2×#26352
C2×#23222