Finite Group Databasebeta

← C2×#37808 #7635017

Subgroups — C2×#37808 #7635017

Order 512.

9826 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#538C211yesmaximal, characteristic, complemented
2C22×#532C211yesmaximal, characteristic, complemented
3C2×#2731C211yesmaximal, characteristic, complemented
4C2×#2729C211yesmaximal, characteristic, complemented
5C2×#2703C211yesmaximal, characteristic, complemented
6C2×#2691C211yesmaximal, characteristic, complemented
7C2×#2675C211yesmaximal, characteristic, complemented
8C2×#2673C211yesmaximal, characteristic, complemented
9C2×#2669C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#37808C2132yesmaximal, direct product factor
12C2×#2852C211yesmaximal, characteristic, complemented
13C2×#2430C211yesmaximal, characteristic, complemented
14C2×#2404C211yesmaximal, characteristic, complemented
15C2×#2431C211yesmaximal, characteristic, complemented
16C2×#2407C211yesmaximal, characteristic, complemented
17C2×#2457C211yesmaximal, characteristic, complemented
18C2×#2428C211yesmaximal, characteristic, complemented
19C2×#2464C211yesmaximal, characteristic, complemented
20C2×#2464C211yesmaximal, characteristic, complemented
21C2×#2425C211yesmaximal, characteristic, complemented
22C2×#2466C211yesmaximal, characteristic, complemented
23C2×#2456C211yesmaximal, characteristic, complemented
24C2×#2456C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic, complemented
26C2×#2424C211yesmaximal, characteristic, complemented
27C2×#2662C211yesmaximal, characteristic, complemented
28C2×#2631C211yesmaximal, characteristic, complemented
29C2×#2364C211yesmaximal, characteristic, complemented
30C2×#2358C211yesmaximal, characteristic, complemented
31C2×#2337C211yesmaximal, characteristic, complemented
32C2×C4×#121C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C23×#41C2211yescharacteristic, complemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C2×#532—216no—
38C2×#532C22116yescomplemented
39C22×C4⋊Q8C2211yescharacteristic, complemented
40C22×#127C2211yescharacteristic
41C22×#127C2211yescharacteristic
42C22×#126C2211yescharacteristic
43C22×#126C2211yescharacteristic
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic, complemented
50C22×#123C2211yescharacteristic, complemented
51C22×C22⋊Q8C2211yescharacteristic
52C22×#121C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic, complemented
64C22×#121C2211yescharacteristic, complemented
65C22×#121C2211yescharacteristic, complemented
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic
68C22×#120C2211yescharacteristic
69C22×#120C2211yescharacteristic
70C22×#120C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic, complemented
78C22×C4×D4C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic, complemented
80C23×C22⋊C4C2211yescharacteristic
81C23×C22⋊C4C2211yescharacteristic
82C23×C42C2211yescharacteristic, complemented
83#2852C22116yescomplemented
84#2731C22116yescomplemented
85#2729C22116yescomplemented
86#2703C22116yescomplemented
87#2691C22116yescomplemented
88#2675C22116yescomplemented
89#2673C22116yescomplemented
90#2669C22116yescomplemented
91#2669C22116yescomplemented
92#2662C22116yescomplemented
93#2631C22116yescomplemented
94#2466C22116yescomplemented
95#2464C22116yescomplemented
96#2464C22116yescomplemented
97#2457C22116yescomplemented
98#2456C22116yescomplemented
99#2456C22116yescomplemented
100#2431C22116yescomplemented
101#2430C22116yescomplemented
102#2428C22116yescomplemented
103#2425C22116yescomplemented
104#2424C22116yescomplemented
105#2424C22116yescomplemented
106#2407C22116yescomplemented
107#2404C22116yescomplemented
108C2×#400C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#396C2211yescharacteristic
114C2×#396C2211yescharacteristic
115C2×#396C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#395C2211yescharacteristic, complemented
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#393C2211yescharacteristic
130C2×#393C2211yescharacteristic
131C2×#393C2211yescharacteristic, complemented
132C2×#392C2211yescharacteristic
133C2×#392C2211yescharacteristic
134C2×#392C2211yescharacteristic
135C2×#392C2211yescharacteristic
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic, complemented
146C2×#392C2211yescharacteristic, complemented
147C2×#392C2211yescharacteristic, complemented
148#2364C22116yescomplemented
149#2358C22116yescomplemented
150#2337C22116yescomplemented
151C4×#121C22116yescomplemented
152C2×#391C2211yescharacteristic, complemented
153C2×#391C2211yescharacteristic, complemented
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic, complemented
159C2×#389C2211yescharacteristic, complemented
160C2×#389C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic
162C2×#388C2211yescharacteristic
163C2×#388C2211yescharacteristic
164C2×#388C2211yescharacteristic
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#388C2211yescharacteristic, 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
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic
204C2×#385C2211yescharacteristic
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#385C2211yescharacteristic, complemented
210C2×#383C2211yescharacteristic, complemented
211C2×#381C2211yescharacteristic
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×C4×C4⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C22×#41—28no—
223C22×#41—28no—
224C22×#41—44no—
225C22×#41—44no—
226C22×#41—44no—
227C22×#41—44no—
228C22×#41C2318yes—
229C22×#41C2318yescomplemented
230C23×Q8C2311yescharacteristic
231C23×Q8C2311yescharacteristic
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C23×D4C2311yescharacteristic
256C23×D4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270#538—2128no—
271#532—2128no—
272C2×C4⋊Q8—28no—
273C2×C4⋊Q8C2318yescomplemented
274C2×#127—28no—
275C2×#127—44no—
276C2×#127C2318yes—
277C2×#127C2318yes—
278C2×#126—28no—
279C2×#126—28no—
280C2×#126C2318yes—
281C2×#126C2318yes—
282C2×#124—28no—
283C2×#124—28no—
284C2×#124D4116yescomplemented
285C2×#124C2318yes—
286C2×#124C2318yes—
287C2×#124C2318yescomplemented
288C2×#123—28no—
289C2×#123—28no—
290C2×#123—44no—
291C2×#123—44no—
292C2×#123C2318yes—
293C2×#123C2318yes—
294C2×#123C2318yescomplemented
295C2×#123C2318yescomplemented
296C2×C22⋊Q8—28no—
297C2×C22⋊Q8C2318yes—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121—28no—
301C2×#121—28no—
302C2×#121—28no—
303C2×#121—28no—
304C2×#121—28no—
305C2×#121—28no—
306C2×#121—28no—
307C2×#121—44no—
308C2×#121—44no—
309C2×#121—44no—
310C2×#121—44no—
311C2×#121—44no—
312C2×#121C2318yes—
313C2×#121C2318yes—
314C2×#121C2318yes—
315C2×#121C2318yes—
316C2×#121C2318yes—
317C2×#121C2318yes—
318C2×#121C2318yes—
319C2×#121C2318yes—
320C2×#121C2318yes—
321C2×#121C2318yes—
322C2×#121C2318yes—
323C2×#121C2318yescomplemented
324C2×#121C2318yescomplemented
325C2×#121C2318yescomplemented
326C2×#120—28no—
327C2×#120—28no—
328C2×#120—28no—
329C2×#120—44no—
330C2×#120—44no—
331C2×#120C2318yes—
332C2×#120C2318yes—
333C2×#120C2318yes—
334C2×#120C2318yes—
335C2×#120C2318yes—
336C2×C4×D4—28no—
337C2×C4×D4—28no—
338C2×C4×D4—28no—
339C2×C4×D4—28no—
340C2×C4×D4—28no—
341C2×C4×D4—28no—
342C2×C4×D4—44no—
343C2×C4×D4—44no—
344C2×C4×D4—44no—
345C2×C4×D4C2318yes—
346C2×C4×D4C2318yes—
347C2×C4×D4C2318yes—
348C2×C4×D4C2318yes—
349C2×C4×D4C2318yes—
350C2×C4×D4C2318yes—
351C2×C4×D4C2318yescomplemented
352C2×C4×D4C2318yescomplemented
353C2×C4×D4C2318yescomplemented
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×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C22⋊C4—28no—
376C22×C22⋊C4—44no—
377C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2311yescharacteristic
423C22×C22⋊C4C2311yescharacteristic
424C22×C22⋊C4C2311yescharacteristic
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2311yescharacteristic
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C42—28no—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2318yescomplemented
444#400C2318yescomplemented
445#398C2318yescomplemented
446#398C2318yescomplemented
447#397C2318yescomplemented
448#397C2318yescomplemented
449#396C2318yes—
450#396C2318yes—
451#396C2318yescomplemented
452#396C2318yescomplemented
453#396C2318yescomplemented
454#395C2318yescomplemented
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yes—
460#394C2318yes—
461#394C2318yes—
462#394C2318yes—
463#394C2318yescomplemented
464#394C2318yescomplemented
465#393C2318yes—
466#393C2318yes—
467#393C2318yescomplemented
468#392C2318yes—
469#392C2318yes—
470#392C2318yes—
471#392C2318yes—
472#392C2318yes—
473#392C2318yes—
474#392C2318yes—
475#392C2318yes—
476#392C2318yes—
477#392C2318yes—
478#392C2318yes—
479#392C2318yes—
480#392C2318yescomplemented
481#392C2318yescomplemented
482#392C2318yescomplemented
483#392C2318yescomplemented
484#391C2318yescomplemented
485#391C2318yescomplemented
486#390C2318yes—
487#390C2318yes—
488#390C2318yes—
489#390C2318yescomplemented
490#390C2318yescomplemented
491#389C2318yescomplemented
492#389C2318yescomplemented
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yes—
497#388C2318yes—
498#388C2318yes—
499#388C2318yes—
500#388C2318yes—
501#388C2318yescomplemented
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#387C2318yescomplemented
508#387C2318yescomplemented
509#387C2318yescomplemented
510#387C2318yescomplemented
511#387C2318yescomplemented
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#386C2318yes—
520#386C2318yes—
521#386C2318yes—
522#386C2318yes—
523#386C2318yes—
524#386C2318yes—
525#386C2318yes—
526#386C2318yes—
527#386C2318yescomplemented
528#386C2318yescomplemented
529#386C2318yescomplemented
530#386C2318yescomplemented
531#386C2318yescomplemented
532#386C2318yescomplemented
533#385C2318yes—
534#385C2318yes—
535#385C2318yes—
536#385C2318yes—
537#385C2318yescomplemented
538#385C2318yescomplemented
539#385C2318yescomplemented
540#385C2318yescomplemented
541#385C2318yescomplemented
542#383C2318yescomplemented
543#381C2318yes—
544#380C2318yescomplemented
545#380C2318yescomplemented
546C4×C4⋊C4C2318yescomplemented
547C4×C22⋊C4C2318yes—
548C4×C22⋊C4C2318yes—
549C4×C22⋊C4C2318yescomplemented
550C4×C22⋊C4C2318yescomplemented
551C4×C22⋊C4C2318yescomplemented
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×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2311yescharacteristic
580C2×#95C2311yescharacteristic
581C2×#95C2311yescharacteristic
582C2×#95C2318yescomplemented
583C25—24no—
584C25—24no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25C2411yescharacteristic
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2414yes—
599C2×#41—232no—
600C2×#41—232no—
601C2×#41—416no—
602C2×#41—416no—
603C2×#41—416no—
604C2×#41—416no—
605C2×#41—464no—
606C2×#41—464no—
607C22×Q8—24no—
608C22×Q8—42no—
609C22×Q8—42no—
610C22×Q8—42no—
611C22×Q8—42no—
612C22×Q8C2×D418yes—
613C22×Q8C2414yes—
614C22×Q8C2414yes—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—24no—
638C22×D4—24no—
639C22×D4—24no—
640C22×D4—24no—
641C22×D4—24no—
642C22×D4—24no—
643C22×D4—24no—
644C22×D4—24no—
645C22×D4—24no—
646C22×D4—24no—
647C22×D4—24no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—42no—
679C22×D4—42no—
680C22×D4—42no—
681C22×D4—42no—
682C22×D4—42no—
683C22×D4—42no—
684C22×D4—42no—
685C22×D4—42no—
686C22×D4—42no—
687C22×D4—42no—
688C22×D4—42no—
689C22×D4C2×D418yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
711C22×D4C2414yes—
712C22×D4C2414yes—
713C22×D4C2414yes—
714C22×D4C2414yes—
715C23×C4—24no—
716C23×C4—24no—
717C23×C4—24no—
718C23×C4—24no—
719C23×C4—24no—
720C23×C4—24no—
721C23×C4—24no—
722C23×C4—24no—
723C23×C4—24no—
724C23×C4—24no—
725C23×C4—24no—
726C23×C4—24no—
727C23×C4—24no—
728C23×C4—24no—
729C23×C4—24no—
730C23×C4—24no—
731C23×C4—24no—
732C23×C4—24no—
733C23×C4—24no—
734C23×C4—24no—
735C23×C4—42no—
736C23×C4—42no—
737C23×C4—42no—
738C23×C4—42no—
739C23×C4—42no—
740C23×C4—42no—
741C23×C4—42no—
742C23×C4—42no—
743C23×C4—42no—
744C23×C4—42no—
745C23×C4—42no—
746C23×C4—42no—
747C23×C4—42no—
748C23×C4—42no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4—42no—
754C23×C4C2414yes—
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2414yes—
785C23×C4C2414yes—
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C4⋊Q8—232no—
791#127—232no—
792#127—416no—
793#126—232no—
794#126—232no—
795#124—232no—
796#124—232no—
797#124C2×D4164yescomplemented
798#123—232no—
799#123—232no—
800#123—416no—
801#123—416no—
802C22⋊Q8—232no—
803#121—232no—
804#121—232no—
805#121—232no—
806#121—232no—
807#121—232no—
808#121—232no—
809#121—232no—
810#121—232no—
811#121—232no—
812#121—416no—
813#121—416no—
814#121—416no—
815#121—416no—
816#121—416no—
817#120—232no—
818#120—232no—
819#120—232no—
820#120—416no—
821#120—416no—
822C4×D4—232no—
823C4×D4—232no—
824C4×D4—232no—
825C4×D4—232no—
826C4×D4—232no—
827C4×D4—232no—
828C4×D4—416no—
829C4×D4—416no—
830C4×D4—416no—
831C2×C4⋊C4—24no—
832C2×C4⋊C4—24no—
833C2×C4⋊C4—24no—
834C2×C4⋊C4—24no—
835C2×C4⋊C4—24no—
836C2×C4⋊C4—24no—
837C2×C4⋊C4—24no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—24no—
840C2×C4⋊C4—24no—
841C2×C4⋊C4—24no—
842C2×C4⋊C4—24no—
843C2×C4⋊C4—24no—
844C2×C4⋊C4—24no—
845C2×C4⋊C4—24no—
846C2×C4⋊C4—24no—
847C2×C4⋊C4—42no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—42no—
850C2×C4⋊C4—42no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—24no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—24no—
897C2×C22⋊C4—24no—
898C2×C22⋊C4—232no—
899C2×C22⋊C4—416no—
900C2×C22⋊C4—42no—
901C2×C22⋊C4—42no—
902C2×C22⋊C4—42no—
903C2×C22⋊C4—42no—
904C2×C22⋊C4—42no—
905C2×C22⋊C4—42no—
906C2×C22⋊C4—42no—
907C2×C22⋊C4—42no—
908C2×C22⋊C4—42no—
909C2×C22⋊C4—42no—
910C2×C22⋊C4—42no—
911C2×C22⋊C4—42no—
912C2×C22⋊C4—42no—
913C2×C22⋊C4—42no—
914C2×C22⋊C4—42no—
915C2×C22⋊C4—42no—
916C2×C22⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4—42no—
921C2×C22⋊C4—42no—
922C2×C22⋊C4—42no—
923C2×C22⋊C4—42no—
924C2×C22⋊C4C2×D418yes—
925C2×C22⋊C4C2×D418yes—
926C2×C22⋊C4C2×D418yes—
927C2×C22⋊C4C2×D418yes—
928C2×C22⋊C4#4118yescomplemented
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C42—24no—
984C2×C42—24no—
985C2×C42—24no—
986C2×C42—24no—
987C2×C42—232no—
988C2×C42—42no—
989C2×C42—42no—
990C2×C42—42no—
991C2×C42—42no—
992C2×C42C2×D418yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—22no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—28no—
1085C24—28no—
1086C24—44no—
1087C24—44no—
1088C24—44no—
1089C24—44no—
1090C24—44no—
1091C24—416no—
1092C24—416no—
1093C24—88no—
1094C24—88no—
1095C24—88no—
1096C24—88no—
1097C24—88no—
1098C24C22×D414yes—
1099C24C22×D414yes—
1100C24C2×#4114yes—
1101C24H(5,𝔽2)14yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2512yes—
1109C24C2512yes—
1110C24C2511yescharacteristic
1111#41—4128no—
1112#41—4128no—
1113C2×Q8—28no—
1114C2×Q8—416no—
1115C2×Q8—44no—
1116C2×Q8—44no—
1117C2×Q8—44no—
1118C2×Q8—44no—
1119C2×Q8—416no—
1120C2×Q8C22×D4116yes—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—416no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—44no—
1173C2×D4—416no—
1174C2×D4—416no—
1175C2×D4—416no—
1176C2×D4—416no—
1177C2×D4—416no—
1178C2×D4—416no—
1179C2×D4—416no—
1180C2×D4—416no—
1181C2×D4—416no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—416no—
1206C2×D4—416no—
1207C2×D4—416no—
1208C2×D4—416no—
1209C2×D4—416no—
1210C2×D4—88no—
1211C2×D4—88no—
1212C2×D4—88no—
1213C2×D4—88no—
1214C2×D4—88no—
1215C2×D4—88no—
1216C2×D4—88no—
1217C2×D4—88no—
1218C2×D4—88no—
1219C2×D4—88no—
1220C2×D4C22×D4116yes—
1221C22×C4—232no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
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—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—416no—
1309C22×C4—416no—
1310C22×C4—416no—
1311C22×C4—416no—
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×C4—416no—
1326C22×C4—416no—
1327C22×C4—88no—
1328C22×C4—88no—
1329C22×C4—88no—
1330C22×C4—88no—
1331C22×C4—88no—
1332C22×C4—88no—
1333C22×C4C22×D414yes—
1334C22×C4C22×D414yes—
1335C22×C4C22×D414yes—
1336C22×C4C22×D414yes—
1337C22×C4C22×D414yes—
1338C22×C4C2×#4114yes—
1339C22×C4C2×#4114yes—
1340C22×C4H(5,𝔽2)14yes—
1341C22×C4H(5,𝔽2)14yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4C22×D4116yes—
1436C22⋊C4C22×D4116yes—
1437C22⋊C4C22×D4116yes—
1438C22⋊C4C22×D4116yes—
1439C22⋊C4C2×#41116yescomplemented
1440C42—28no—
1441C42—28no—
1442C42—28no—
1443C42—28no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42C22×D4116yes—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—28no—
1474C23—28no—
1475C23—28no—
1476C23—28no—
1477C23—28no—
1478C23—28no—
1479C23—28no—
1480C23—28no—
1481C23—28no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—416no—
1514C23—416no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—44no—
1529C23—44no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—88no—
1560C23—88no—
1561C23—88no—
1562C23—88no—
1563C23—88no—
1564C23—864no—
1565C23C23×D414yes—
1566C23C23×D414yes—
1567C23C23×D412yes—
1568C23C22×#4114yes—
1569C23C22×#4112yes—
1570C23C2×H(5,𝔽2)14yes—
1571C23C2×H(5,𝔽2)12yes—
1572C23C2×H(5,𝔽2)12yes—
1573C23C2×H(5,𝔽2)12yes—
1574C23#58512yes—
1575C23#58512yes—
1576C23C2611yescharacteristic
1577Q8—416no—
1578Q8—416no—
1579D4—416no—
1580D4—416no—
1581D4—416no—
1582D4—416no—
1583D4—416no—
1584D4—416no—
1585D4—416no—
1586D4—416no—
1587D4—416no—
1588D4—416no—
1589D4—416no—
1590D4—416no—
1591D4—416no—
1592D4—416no—
1593D4—416no—
1594D4—88no—
1595D4—88no—
1596D4—88no—
1597D4—88no—
1598D4—88no—
1599D4—88no—
1600D4—88no—
1601D4—88no—
1602D4—88no—
1603D4—88no—
1604C2×C4—232no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—28no—
1624C2×C4—28no—
1625C2×C4—28no—
1626C2×C4—28no—
1627C2×C4—28no—
1628C2×C4—28no—
1629C2×C4—28no—
1630C2×C4—28no—
1631C2×C4—28no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—416no—
1675C2×C4—416no—
1676C2×C4—416no—
1677C2×C4—416no—
1678C2×C4—416no—
1679C2×C4—416no—
1680C2×C4—44no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—44no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—88no—
1695C2×C4—88no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—88no—
1699C2×C4—88no—
1700C2×C4C23×D414yes—
1701C2×C4C23×D414yes—
1702C2×C4C23×D414yes—
1703C2×C4C23×D414yes—
1704C2×C4C23×D414yes—
1705C2×C4C22×#4114yes—
1706C2×C4C22×#4114yes—
1707C2×C4C2×H(5,𝔽2)14yes—
1708C2×C4C2×H(5,𝔽2)14yes—
1709C22—24no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—24no—
1714C22—24no—
1715C22—24no—
1716C22—24no—
1717C22—24no—
1718C22—24no—
1719C22—24no—
1720C22—24no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—416no—
1734C22—416no—
1735C22—416no—
1736C22—416no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—832no—
1770C22—88no—
1771C22—88no—
1772C22—88no—
1773C22—88no—
1774C22#346014yes—
1775C22D4×#4114yes—
1776C22#348414yes—
1777C22#348814yes—
1778C22#351914yes—
1779C22#354614yes—
1780C22#356014yes—
1781C22C24×D411yescharacteristic
1782C22C23×#4111yescharacteristic
1783C22C22×H(5,𝔽2)11yescharacteristic
1784C22C22×H(5,𝔽2)11yescharacteristic
1785C22C22×H(5,𝔽2)11yescharacteristic
1786C22C2×#58511yescharacteristic
1787C22C2×#58511yescharacteristic
1788C4—24no—
1789C4—24no—
1790C4—24no—
1791C4—24no—
1792C4—24no—
1793C4—24no—
1794C4—24no—
1795C4—24no—
1796C4—24no—
1797C4—42no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C2—44no—
1812C2—44no—
1813C2—44no—
1814C2—44no—
1815C2—82no—
1816C2—82no—
1817C2—82no—
1818C2—82no—
1819C2#3780818yesdirect product factor
1820C2C2×#346011yescharacteristic
1821C2C2×D4×#4111yescharacteristic
1822C2C2×#356011yescharacteristic
1823C2C2×#354611yescharacteristic
1824C2C2×#348411yescharacteristic
1825C2C2×#351911yescharacteristic
1826C2C2×#348811yescharacteristic
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×#538C2semidirect
2. C22×#532C2semidirect
3. C2×#2731C2semidirect
4. C2×#2729C2semidirect
5. C2×#2703C2semidirect
6. C2×#2691C2semidirect
7. C2×#2675C2semidirect
8. C2×#2673C2semidirect
9. C2×#2669C2semidirect
10. C2×#2669C2semidirect
11. #37808C2direct (N × H)
12. C2×#2852C2semidirect
13. C2×#2430C2semidirect
14. C2×#2404C2semidirect
15. C2×#2431C2semidirect
16. C2×#2407C2semidirect
17. C2×#2457C2semidirect
18. C2×#2428C2semidirect
19. C2×#2464C2semidirect
20. C2×#2464C2semidirect
21. C2×#2425C2semidirect
22. C2×#2466C2semidirect
23. C2×#2456C2semidirect
24. C2×#2456C2semidirect
25. C2×#2424C2semidirect
26. C2×#2424C2semidirect
27. C2×#2662C2semidirect
28. C2×#2631C2semidirect
29. C2×#2364C2semidirect
30. C2×#2358C2semidirect
31. C2×#2337C2semidirect
32. C2×C4×#121C2semidirect
34. C23×#41C22semidirect
36. C2×#538C22semidirect
38. C2×#532C22semidirect
39. C22×C4⋊Q8C22semidirect
46. C22×#124C22semidirect
49. C22×#123C22semidirect
50. C22×#123C22semidirect
63. C22×#121C22semidirect
64. C22×#121C22semidirect
65. C22×#121C22semidirect
77. C22×C4×D4C22semidirect
78. C22×C4×D4C22semidirect
79. C22×C4×D4C22semidirect
82. C23×C42C22semidirect
83. #2852C22semidirect
84. #2731C22semidirect
85. #2729C22semidirect
86. #2703C22semidirect
87. #2691C22semidirect
88. #2675C22semidirect
89. #2673C22semidirect
90. #2669C22semidirect
91. #2669C22semidirect
92. #2662C22semidirect
93. #2631C22semidirect
94. #2466C22semidirect
95. #2464C22semidirect
96. #2464C22semidirect
97. #2457C22semidirect
98. #2456C22semidirect
99. #2456C22semidirect
100. #2431C22semidirect
101. #2430C22semidirect
102. #2428C22semidirect
103. #2425C22semidirect
104. #2424C22semidirect
105. #2424C22semidirect
106. #2407C22semidirect
107. #2404C22semidirect
108. C2×#400C22semidirect
109. C2×#398C22semidirect
110. C2×#398C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
115. C2×#396C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#395C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
131. C2×#393C22semidirect
144. C2×#392C22semidirect
145. C2×#392C22semidirect
146. C2×#392C22semidirect
147. C2×#392C22semidirect
148. #2364C22semidirect
149. #2358C22semidirect
150. #2337C22semidirect
151. C4×#121C22semidirect
152. C2×#391C22semidirect
153. C2×#391C22semidirect
157. C2×#390C22semidirect
158. C2×#390C22semidirect
159. C2×#389C22semidirect
160. C2×#389C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#388C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
178. C2×#387C22semidirect
179. C2×#387C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#385C22semidirect
210. C2×#383C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
214. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
229. C22×#41C23semidirect
273. C2×C4⋊Q8C23semidirect
284. C2×#124D4semidirect
287. C2×#124C23semidirect
294. C2×#123C23semidirect
295. C2×#123C23semidirect
323. C2×#121C23semidirect
324. C2×#121C23semidirect
325. C2×#121C23semidirect
351. C2×C4×D4C23semidirect
352. C2×C4×D4C23semidirect
353. C2×C4×D4C23semidirect
443. C22×C42C23semidirect
444. #400C23semidirect
445. #398C23semidirect
446. #398C23semidirect
447. #397C23semidirect
448. #397C23semidirect
451. #396C23semidirect
452. #396C23semidirect
453. #396C23semidirect
454. #395C23semidirect
463. #394C23semidirect
464. #394C23semidirect
467. #393C23semidirect
480. #392C23semidirect
481. #392C23semidirect
482. #392C23semidirect
483. #392C23semidirect
484. #391C23semidirect
485. #391C23semidirect
489. #390C23semidirect
490. #390C23semidirect
491. #389C23semidirect
492. #389C23semidirect
501. #388C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #387C23semidirect
508. #387C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
527. #386C23semidirect
528. #386C23semidirect
529. #386C23semidirect
530. #386C23semidirect
531. #386C23semidirect
532. #386C23semidirect
537. #385C23semidirect
538. #385C23semidirect
539. #385C23semidirect
540. #385C23semidirect
541. #385C23semidirect
542. #383C23semidirect
544. #380C23semidirect
545. #380C23semidirect
546. C4×C4⋊C4C23semidirect
549. C4×C22⋊C4C23semidirect
550. C4×C22⋊C4C23semidirect
551. C4×C22⋊C4C23semidirect
582. C2×#95C23semidirect
797. #124C2×D4semidirect
928. C2×C22⋊C4#41semidirect
1439. C22⋊C4C2×#41semidirect
1819. C2#37808direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5382
C22×#5322
C2×#27312
C2×#27292
C2×#27032
C2×#26912
C2×#26752
C2×#26732
C2×#26692
#378082
C2×#28522
C2×#24302
C2×#24042
C2×#24312
C2×#24072
C2×#24572
C2×#24282
C2×#24642
C2×#24252
C2×#24662
C2×#24562
C2×#24242
C2×#26622
C2×#26312
C2×#23642
C2×#23582
C2×#23372
C2×C4×#1212