Finite Group Databasebeta

← C2×#44272 #7668178

Subgroups — C2×#44272 #7668178

Order 512.

8698 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#559C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2733C211yesmaximal, characteristic, complemented
4C2×#2730C211yesmaximal, characteristic, complemented
5C2×#2718C211yesmaximal, characteristic, complemented
6C2×#2710C211yesmaximal, characteristic, complemented
7C2×#2703C211yesmaximal, characteristic, complemented
8C2×#2673C211yesmaximal, characteristic, complemented
9C2×#2670C211yesmaximal, characteristic, complemented
10C2×#2669C211yesmaximal, characteristic, complemented
11#44272C2132yesmaximal, direct product factor
12C2×#2604C211yesmaximal, characteristic, complemented
13C2×#2603C211yesmaximal, characteristic, complemented
14C2×#2555C211yesmaximal, characteristic, complemented
15C2×#2539C211yesmaximal, characteristic, complemented
16C2×#2521C211yesmaximal, characteristic, complemented
17C2×#2501C211yesmaximal, characteristic, complemented
18C2×#2448C211yesmaximal, characteristic, complemented
19C2×#2423C211yesmaximal, characteristic, complemented
20C2×#2422C211yesmaximal, characteristic, complemented
21C2×#2464C211yesmaximal, characteristic, complemented
22C2×#2456C211yesmaximal, characteristic, complemented
23C2×#2455C211yesmaximal, characteristic, complemented
24C2×#2455C211yesmaximal, characteristic, complemented
25C2×#2443C211yesmaximal, characteristic, complemented
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2418C211yesmaximal, characteristic, complemented
28C2×#2397C211yesmaximal, characteristic, complemented
29C2×#2372C211yesmaximal, characteristic, complemented
30C2×#2361C211yesmaximal, characteristic, complemented
31C2×#2358C211yesmaximal, characteristic, complemented
32C2×#2326C211yesmaximal, characteristic, complemented
33C2×#559—216no—
34C2×#559C22116yescomplemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#126C2211yescharacteristic
39C22×#126C2211yescharacteristic
40C22×#124C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic
44C22×#124C2211yescharacteristic, complemented
45C22×#124C2211yescharacteristic, complemented
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic
51C22×#123C2211yescharacteristic
52C22×#123C2211yescharacteristic, complemented
53C22×#123C2211yescharacteristic, complemented
54C22×#123C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×C4×Q8C2211yescharacteristic, complemented
67C22×C4×Q8C2211yescharacteristic, complemented
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic
71C22×C4×D4C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic, complemented
77C22×C4×D4C2211yescharacteristic, complemented
78C23×C4⋊C4C2211yescharacteristic, complemented
79C23×C22⋊C4C2211yescharacteristic
80C23×C22⋊C4C2211yescharacteristic
81#2733C22116yescomplemented
82#2730C22116yescomplemented
83#2718C22116yescomplemented
84#2710C22116yescomplemented
85#2703C22116yescomplemented
86#2673C22116yescomplemented
87#2670C22116yescomplemented
88#2669C22116yescomplemented
89#2604C22116yescomplemented
90#2603C22116yescomplemented
91#2555C22116yescomplemented
92#2539C22116yescomplemented
93#2521C22116yescomplemented
94#2501C22116yescomplemented
95#2464C22116yescomplemented
96#2456C22116yescomplemented
97#2455C22116yescomplemented
98#2455C22116yescomplemented
99#2448C22116yescomplemented
100#2443C22116yescomplemented
101#2423C22116yescomplemented
102#2422C22116yescomplemented
103#2418C22116yescomplemented
104#2418C22116yescomplemented
105#2397C22116yescomplemented
106C2×#400C2211yescharacteristic, complemented
107C2×#399C2211yescharacteristic
108C2×#399C2211yescharacteristic
109C2×#399C2211yescharacteristic
110C2×#399C2211yescharacteristic
111C2×#399C2211yescharacteristic, complemented
112C2×#399C2211yescharacteristic, complemented
113C2×#399C2211yescharacteristic, complemented
114C2×#399C2211yescharacteristic, complemented
115C2×#398C2211yescharacteristic, complemented
116C2×#398C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic
118C2×#397C2211yescharacteristic
119C2×#397C2211yescharacteristic, complemented
120C2×#397C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#395C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic
128C2×#394C2211yescharacteristic
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#393C2211yescharacteristic
134C2×#392C2211yescharacteristic
135C2×#392C2211yescharacteristic
136C2×#392C2211yescharacteristic
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic, complemented
144C2×#392C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic, complemented
146#2372C22116yescomplemented
147#2361C22116yescomplemented
148#2358C22116yescomplemented
149#2326C22116yescomplemented
150C2×#391C2211yescharacteristic, complemented
151C2×#391C2211yescharacteristic, complemented
152C2×#391C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic
154C2×#390C2211yescharacteristic
155C2×#390C2211yescharacteristic
156C2×#390C2211yescharacteristic
157C2×#390C2211yescharacteristic
158C2×#390C2211yescharacteristic
159C2×#390C2211yescharacteristic
160C2×#390C2211yescharacteristic, complemented
161C2×#389C2211yescharacteristic, complemented
162C2×#389C2211yescharacteristic, complemented
163C2×#389C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic
166C2×#388C2211yescharacteristic
167C2×#388C2211yescharacteristic
168C2×#388C2211yescharacteristic
169C2×#388C2211yescharacteristic
170C2×#388C2211yescharacteristic
171C2×#388C2211yescharacteristic
172C2×#388C2211yescharacteristic
173C2×#388C2211yescharacteristic
174C2×#388C2211yescharacteristic
175C2×#388C2211yescharacteristic, complemented
176C2×#388C2211yescharacteristic, complemented
177C2×#388C2211yescharacteristic, complemented
178C2×#388C2211yescharacteristic, complemented
179C2×#388C2211yescharacteristic, complemented
180C2×#388C2211yescharacteristic, complemented
181C2×#388C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#387C2211yescharacteristic, complemented
186C2×#387C2211yescharacteristic, complemented
187C2×#387C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic
190C2×#386C2211yescharacteristic
191C2×#386C2211yescharacteristic
192C2×#386C2211yescharacteristic
193C2×#386C2211yescharacteristic
194C2×#386C2211yescharacteristic
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic
200C2×#385C2211yescharacteristic
201C2×#385C2211yescharacteristic
202C2×#385C2211yescharacteristic
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#384C2211yescharacteristic, complemented
209C2×#384C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic
211C2×#380C2211yescharacteristic
212C2×#379C2211yescharacteristic
213C2×C4×C4⋊C4C2211yescharacteristic, complemented
214C2×C4×C22⋊C4C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic
216C2×C4×C22⋊C4C2211yescharacteristic
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×#376C2211yescharacteristic, complemented
220C2×#376C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C23×Q8C2311yescharacteristic
223C23×Q8C2311yescharacteristic
224C23×D4C2311yescharacteristic
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
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C24×C4C2311yescharacteristic
243C24×C4C2311yescharacteristic
244C24×C4C2311yescharacteristic
245C24×C4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252#559—2128no—
253#538—2128no—
254C2×#127—28no—
255C2×#127C2318yes—
256C2×#126—28no—
257C2×#126—28no—
258C2×#126C2318yes—
259C2×#126C2318yes—
260C2×#124—28no—
261C2×#124—28no—
262C2×#124—28no—
263C2×#124—28no—
264C2×#124—28no—
265C2×#124D4116yescomplemented
266C2×#124C2318yes—
267C2×#124C2318yes—
268C2×#124C2318yes—
269C2×#124C2318yes—
270C2×#124C2318yescomplemented
271C2×#124C2318yescomplemented
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—28no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123—44no—
281C2×#123C2318yes—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yes—
286C2×#123C2318yes—
287C2×#123C2318yescomplemented
288C2×#123C2318yescomplemented
289C2×#123C2318yescomplemented
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8C2318yes—
292C2×#121—28no—
293C2×#121—28no—
294C2×#121—28no—
295C2×#121—28no—
296C2×#121—44no—
297C2×#121—44no—
298C2×#121C2318yes—
299C2×#121C2318yes—
300C2×#121C2318yes—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#120—28no—
305C2×#120—28no—
306C2×#120—28no—
307C2×#120—44no—
308C2×#120C2318yes—
309C2×#120C2318yes—
310C2×#120C2318yes—
311C2×#120C2318yes—
312C2×C4×Q8—28no—
313C2×C4×Q8—28no—
314C2×C4×Q8C2318yescomplemented
315C2×C4×Q8C2318yescomplemented
316C2×C4×D4—28no—
317C2×C4×D4—28no—
318C2×C4×D4—28no—
319C2×C4×D4—28no—
320C2×C4×D4—28no—
321C2×C4×D4—28no—
322C2×C4×D4—44no—
323C2×C4×D4—44no—
324C2×C4×D4—44no—
325C2×C4×D4—44no—
326C2×C4×D4C2318yes—
327C2×C4×D4C2318yes—
328C2×C4×D4C2318yes—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yes—
332C2×C4×D4C2318yescomplemented
333C2×C4×D4C2318yescomplemented
334C2×C4×D4C2318yescomplemented
335C2×C4×D4C2318yescomplemented
336C22×C4⋊C4—44no—
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⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
366C22×C22⋊C4—28no—
367C22×C22⋊C4—44no—
368C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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×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×C42C2311yescharacteristic
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438#400C2318yescomplemented
439#399C2318yes—
440#399C2318yes—
441#399C2318yes—
442#399C2318yes—
443#399C2318yescomplemented
444#399C2318yescomplemented
445#399C2318yescomplemented
446#399C2318yescomplemented
447#398C2318yescomplemented
448#398C2318yescomplemented
449#397C2318yes—
450#397C2318yes—
451#397C2318yescomplemented
452#397C2318yescomplemented
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#392C2318yes—
467#392C2318yes—
468#392C2318yes—
469#392C2318yes—
470#392C2318yes—
471#392C2318yes—
472#392C2318yes—
473#392C2318yes—
474#392C2318yes—
475#392C2318yescomplemented
476#392C2318yescomplemented
477#392C2318yescomplemented
478#391C2318yescomplemented
479#391C2318yescomplemented
480#391C2318yescomplemented
481#390C2318yes—
482#390C2318yes—
483#390C2318yes—
484#390C2318yes—
485#390C2318yes—
486#390C2318yes—
487#390C2318yes—
488#390C2318yescomplemented
489#389C2318yescomplemented
490#389C2318yescomplemented
491#389C2318yescomplemented
492#389C2318yescomplemented
493#388C2318yes—
494#388C2318yes—
495#388C2318yes—
496#388C2318yes—
497#388C2318yes—
498#388C2318yes—
499#388C2318yes—
500#388C2318yes—
501#388C2318yes—
502#388C2318yes—
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#388C2318yescomplemented
510#388C2318yescomplemented
511#388C2318yescomplemented
512#388C2318yescomplemented
513#387C2318yescomplemented
514#387C2318yescomplemented
515#387C2318yescomplemented
516#386C2318yes—
517#386C2318yes—
518#386C2318yes—
519#386C2318yes—
520#386C2318yes—
521#386C2318yes—
522#386C2318yes—
523#386C2318yes—
524#386C2318yescomplemented
525#386C2318yescomplemented
526#386C2318yescomplemented
527#385C2318yes—
528#385C2318yes—
529#385C2318yes—
530#385C2318yes—
531#385C2318yescomplemented
532#385C2318yescomplemented
533#385C2318yescomplemented
534#385C2318yescomplemented
535#385C2318yescomplemented
536#384C2318yescomplemented
537#384C2318yescomplemented
538#380C2318yes—
539#380C2318yes—
540#379C2318yes—
541C4×C4⋊C4C2318yescomplemented
542C4×C22⋊C4C2318yes—
543C4×C22⋊C4C2318yes—
544C4×C22⋊C4C2318yes—
545C4×C22⋊C4C2318yescomplemented
546C4×C22⋊C4C2318yescomplemented
547#376C2318yescomplemented
548#376C2318yescomplemented
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×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C25—24no—
578C25—24no—
579C25—42no—
580C25—42no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25C2411yescharacteristic
585C25C2411yescharacteristic
586C25C2411yescharacteristic
587C25C2411yescharacteristic
588C25C2411yescharacteristic
589C25C2411yescharacteristic
590C25C2411yescharacteristic
591C25C2414yes—
592C22×Q8—24no—
593C22×Q8—24no—
594C22×Q8—42no—
595C22×Q8—42no—
596C22×Q8—42no—
597C22×Q8C2×D418yes—
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—24no—
611C22×D4—24no—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
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×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4C2×D418yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2414yes—
657C22×D4C2414yes—
658C22×D4C2414yes—
659C22×D4C2414yes—
660C22×D4C2414yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C23×C4—24no—
673C23×C4—24no—
674C23×C4—24no—
675C23×C4—24no—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
682C23×C4—24no—
683C23×C4—42no—
684C23×C4—42no—
685C23×C4—42no—
686C23×C4—42no—
687C23×C4—42no—
688C23×C4—42no—
689C23×C4—42no—
690C23×C4—42no—
691C23×C4—42no—
692C23×C4—42no—
693C23×C4—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4C2411yescharacteristic
703C23×C4C2411yescharacteristic
704C23×C4C2411yescharacteristic
705C23×C4C2411yescharacteristic
706C23×C4C2411yescharacteristic
707C23×C4C2411yescharacteristic
708C23×C4C2411yescharacteristic
709C23×C4C2411yescharacteristic
710C23×C4C2411yescharacteristic
711C23×C4C2411yescharacteristic
712C23×C4C2411yescharacteristic
713C23×C4C2411yescharacteristic
714C23×C4C2411yescharacteristic
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2414yes—
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2414yes—
728C23×C4C2414yes—
729C23×C4C2414yes—
730C23×C4C2414yes—
731C23×C4C2414yes—
732C23×C4C2414yes—
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736#127—232no—
737#126—232no—
738#126—232no—
739#124—232no—
740#124—232no—
741#124—232no—
742#124—232no—
743#124—232no—
744#124C2×D4164yescomplemented
745#123—232no—
746#123—232no—
747#123—232no—
748#123—232no—
749#123—232no—
750#123—232no—
751#123—416no—
752#123—416no—
753#123—416no—
754C22⋊Q8—232no—
755#121—232no—
756#121—232no—
757#121—232no—
758#121—232no—
759#121—416no—
760#121—416no—
761#120—232no—
762#120—232no—
763#120—232no—
764#120—416no—
765C4×Q8—232no—
766C4×Q8—232no—
767C4×D4—232no—
768C4×D4—232no—
769C4×D4—232no—
770C4×D4—232no—
771C4×D4—232no—
772C4×D4—232no—
773C4×D4—416no—
774C4×D4—416no—
775C4×D4—416no—
776C4×D4—416no—
777C2×C4⋊C4—24no—
778C2×C4⋊C4—24no—
779C2×C4⋊C4—24no—
780C2×C4⋊C4—24no—
781C2×C4⋊C4—24no—
782C2×C4⋊C4—24no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—24no—
789C2×C4⋊C4—24no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—24no—
794C2×C4⋊C4—416no—
795C2×C4⋊C4—42no—
796C2×C4⋊C4—42no—
797C2×C4⋊C4—42no—
798C2×C4⋊C4—42no—
799C2×C4⋊C4—42no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—42no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—42no—
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×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
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—24no—
854C2×C22⋊C4—24no—
855C2×C22⋊C4—24no—
856C2×C22⋊C4—24no—
857C2×C22⋊C4—24no—
858C2×C22⋊C4—24no—
859C2×C22⋊C4—24no—
860C2×C22⋊C4—24no—
861C2×C22⋊C4—24no—
862C2×C22⋊C4—24no—
863C2×C22⋊C4—24no—
864C2×C22⋊C4—24no—
865C2×C22⋊C4—24no—
866C2×C22⋊C4—232no—
867C2×C22⋊C4—416no—
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⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4C2×D418yes—
888C2×C22⋊C4C2×D418yes—
889C2×C22⋊C4C2×D418yes—
890C2×C22⋊C4C2×D418yes—
891C2×C22⋊C4#4118yes—
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×C22⋊C4C2414yes—
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×C42—24no—
949C2×C42—24no—
950C2×C42—24no—
951C2×C42—24no—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—24no—
956C2×C42—42no—
957C2×C42—42no—
958C2×C42—42no—
959C2×C42C2×D418yes—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968C2×C42C2414yes—
969C2×C42C2414yes—
970C2×C42C2414yes—
971C2×C42C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
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—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
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—28no—
1047C24—28no—
1048C24—44no—
1049C24—44no—
1050C24—44no—
1051C24—44no—
1052C24—44no—
1053C24—416no—
1054C24—416no—
1055C24—88no—
1056C24—88no—
1057C24—88no—
1058C24—88no—
1059C24—88no—
1060C24C22×D414yes—
1061C24C22×D414yes—
1062C24C2×#4114yes—
1063C24C2512yes—
1064C24C2512yes—
1065C24C2512yes—
1066C24C2512yes—
1067C24C2512yes—
1068C24C2512yes—
1069C24C2512yes—
1070C24C2511yescharacteristic
1071C2×Q8—28no—
1072C2×Q8—28no—
1073C2×Q8—416no—
1074C2×Q8—44no—
1075C2×Q8—44no—
1076C2×Q8—44no—
1077C2×Q8—416no—
1078C2×Q8C22×D4116yes—
1079C2×D4—28no—
1080C2×D4—28no—
1081C2×D4—28no—
1082C2×D4—28no—
1083C2×D4—28no—
1084C2×D4—28no—
1085C2×D4—28no—
1086C2×D4—28no—
1087C2×D4—28no—
1088C2×D4—28no—
1089C2×D4—28no—
1090C2×D4—28no—
1091C2×D4—28no—
1092C2×D4—28no—
1093C2×D4—28no—
1094C2×D4—28no—
1095C2×D4—28no—
1096C2×D4—28no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—44no—
1100C2×D4—44no—
1101C2×D4—416no—
1102C2×D4—44no—
1103C2×D4—44no—
1104C2×D4—44no—
1105C2×D4—44no—
1106C2×D4—44no—
1107C2×D4—44no—
1108C2×D4—44no—
1109C2×D4—44no—
1110C2×D4—44no—
1111C2×D4—44no—
1112C2×D4—44no—
1113C2×D4—44no—
1114C2×D4—44no—
1115C2×D4—44no—
1116C2×D4—416no—
1117C2×D4—416no—
1118C2×D4—416no—
1119C2×D4—416no—
1120C2×D4—416no—
1121C2×D4—416no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—44no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—416no—
1140C2×D4—416no—
1141C2×D4—416no—
1142C2×D4—88no—
1143C2×D4—88no—
1144C2×D4—88no—
1145C2×D4—88no—
1146C2×D4—88no—
1147C2×D4—88no—
1148C2×D4—88no—
1149C2×D4—88no—
1150C2×D4C22×D4116yes—
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—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—28no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—28no—
1222C22×C4—28no—
1223C22×C4—28no—
1224C22×C4—28no—
1225C22×C4—44no—
1226C22×C4—416no—
1227C22×C4—44no—
1228C22×C4—44no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4—44no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—44no—
1239C22×C4—44no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—88no—
1246C22×C4—88no—
1247C22×C4—88no—
1248C22×C4—88no—
1249C22×C4—88no—
1250C22×C4—88no—
1251C22×C4—88no—
1252C22×C4—88no—
1253C22×C4—88no—
1254C22×C4C22×D414yes—
1255C22×C4C22×D414yes—
1256C22×C4C22×D414yes—
1257C22×C4C22×D414yes—
1258C22×C4C22×D414yes—
1259C22×C4C2×#4114yes—
1260C22×C4C2×#4114yes—
1261C22×C4H(5,𝔽2)14yes—
1262C22×C4H(5,𝔽2)14yes—
1263C22×C4C2512yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C4⋊C4—28no—
1288C4⋊C4—28no—
1289C4⋊C4—28no—
1290C4⋊C4—28no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—28no—
1298C4⋊C4—28no—
1299C4⋊C4—28no—
1300C4⋊C4—28no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—28no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—28no—
1318C22⋊C4—28no—
1319C22⋊C4—28no—
1320C22⋊C4—28no—
1321C22⋊C4—28no—
1322C22⋊C4—28no—
1323C22⋊C4—28no—
1324C22⋊C4—28no—
1325C22⋊C4—28no—
1326C22⋊C4—28no—
1327C22⋊C4—28no—
1328C22⋊C4—28no—
1329C22⋊C4—28no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4C22×D4116yes—
1367C22⋊C4C22×D4116yes—
1368C22⋊C4C22×D4116yes—
1369C22⋊C4C22×D4116yes—
1370C22⋊C4C2×#41116yes—
1371C42—28no—
1372C42—28no—
1373C42—28no—
1374C42—28no—
1375C42—28no—
1376C42—28no—
1377C42—28no—
1378C42—28no—
1379C42—44no—
1380C42—44no—
1381C42—44no—
1382C42C22×D4116yes—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23—22no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—28no—
1405C23—28no—
1406C23—28no—
1407C23—28no—
1408C23—28no—
1409C23—28no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—416no—
1439C23—416no—
1440C23—44no—
1441C23—44no—
1442C23—44no—
1443C23—44no—
1444C23—44no—
1445C23—44no—
1446C23—44no—
1447C23—44no—
1448C23—44no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—88no—
1481C23—88no—
1482C23—88no—
1483C23—88no—
1484C23—88no—
1485C23—864no—
1486C23C23×D414yes—
1487C23C23×D414yes—
1488C23C23×D412yes—
1489C23C22×#4114yes—
1490C23C22×#4112yes—
1491C23C2×H(5,𝔽2)12yes—
1492C23C2×H(5,𝔽2)12yes—
1493C23#58512yes—
1494C23#58512yes—
1495C23#58512yes—
1496C23C2611yescharacteristic
1497Q8—416no—
1498Q8—416no—
1499D4—416no—
1500D4—416no—
1501D4—416no—
1502D4—416no—
1503D4—416no—
1504D4—416no—
1505D4—416no—
1506D4—416no—
1507D4—416no—
1508D4—416no—
1509D4—88no—
1510D4—88no—
1511D4—88no—
1512D4—88no—
1513D4—88no—
1514D4—88no—
1515D4—88no—
1516D4—88no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—28no—
1536C2×C4—28no—
1537C2×C4—28no—
1538C2×C4—28no—
1539C2×C4—28no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—28no—
1543C2×C4—28no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—416no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—44no—
1601C2×C4—44no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—88no—
1606C2×C4—88no—
1607C2×C4—88no—
1608C2×C4—88no—
1609C2×C4—88no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—88no—
1614C2×C4C23×D414yes—
1615C2×C4C23×D414yes—
1616C2×C4C23×D414yes—
1617C2×C4C23×D414yes—
1618C2×C4C23×D414yes—
1619C2×C4C22×#4114yes—
1620C2×C4C22×#4114yes—
1621C2×C4C2×H(5,𝔽2)14yes—
1622C2×C4C2×H(5,𝔽2)14yes—
1623C22—24no—
1624C22—24no—
1625C22—24no—
1626C22—24no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—24no—
1631C22—24no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—416no—
1645C22—416no—
1646C22—416no—
1647C22—42no—
1648C22—42no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—832no—
1676C22—88no—
1677C22—88no—
1678C22—88no—
1679C22—88no—
1680C22D4×#4114yes—
1681C22#348514yes—
1682C22#349814yes—
1683C22#350614yes—
1684C22#351314yes—
1685C22#353314yes—
1686C22#354014yes—
1687C22C24×D411yescharacteristic
1688C22C23×#4111yescharacteristic
1689C22C22×H(5,𝔽2)11yescharacteristic
1690C22C22×H(5,𝔽2)11yescharacteristic
1691C22C2×#58511yescharacteristic
1692C22C2×#58511yescharacteristic
1693C22C2×#58511yescharacteristic
1694C4—24no—
1695C4—24no—
1696C4—24no—
1697C4—24no—
1698C4—24no—
1699C4—24no—
1700C4—24no—
1701C4—24no—
1702C4—24no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C2—44no—
1719C2—44no—
1720C2—44no—
1721C2—82no—
1722C2—82no—
1723C2—82no—
1724C2—82no—
1725C2#4427218yesdirect product factor
1726C2C2×D4×#4111yescharacteristic
1727C2C2×#353311yescharacteristic
1728C2C2×#354011yescharacteristic
1729C2C2×#350611yescharacteristic
1730C2C2×#351311yescharacteristic
1731C2C2×#348511yescharacteristic
1732C2C2×#349811yescharacteristic
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×#538C2semidirect
3. C2×#2733C2semidirect
4. C2×#2730C2semidirect
5. C2×#2718C2semidirect
6. C2×#2710C2semidirect
7. C2×#2703C2semidirect
8. C2×#2673C2semidirect
9. C2×#2670C2semidirect
10. C2×#2669C2semidirect
11. #44272C2direct (N × H)
12. C2×#2604C2semidirect
13. C2×#2603C2semidirect
14. C2×#2555C2semidirect
15. C2×#2539C2semidirect
16. C2×#2521C2semidirect
17. C2×#2501C2semidirect
18. C2×#2448C2semidirect
19. C2×#2423C2semidirect
20. C2×#2422C2semidirect
21. C2×#2464C2semidirect
22. C2×#2456C2semidirect
23. C2×#2455C2semidirect
24. C2×#2455C2semidirect
25. C2×#2443C2semidirect
26. C2×#2418C2semidirect
27. C2×#2418C2semidirect
28. C2×#2397C2semidirect
29. C2×#2372C2semidirect
30. C2×#2361C2semidirect
31. C2×#2358C2semidirect
32. C2×#2326C2semidirect
34. C2×#559C22semidirect
36. C2×#538C22semidirect
44. C22×#124C22semidirect
45. C22×#124C22semidirect
52. C22×#123C22semidirect
53. C22×#123C22semidirect
54. C22×#123C22semidirect
66. C22×C4×Q8C22semidirect
67. C22×C4×Q8C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. C22×C4×D4C22semidirect
78. C23×C4⋊C4C22semidirect
81. #2733C22semidirect
82. #2730C22semidirect
83. #2718C22semidirect
84. #2710C22semidirect
85. #2703C22semidirect
86. #2673C22semidirect
87. #2670C22semidirect
88. #2669C22semidirect
89. #2604C22semidirect
90. #2603C22semidirect
91. #2555C22semidirect
92. #2539C22semidirect
93. #2521C22semidirect
94. #2501C22semidirect
95. #2464C22semidirect
96. #2456C22semidirect
97. #2455C22semidirect
98. #2455C22semidirect
99. #2448C22semidirect
100. #2443C22semidirect
101. #2423C22semidirect
102. #2422C22semidirect
103. #2418C22semidirect
104. #2418C22semidirect
105. #2397C22semidirect
106. C2×#400C22semidirect
111. C2×#399C22semidirect
112. C2×#399C22semidirect
113. C2×#399C22semidirect
114. C2×#399C22semidirect
115. C2×#398C22semidirect
116. C2×#398C22semidirect
119. C2×#397C22semidirect
120. C2×#397C22semidirect
121. C2×#396C22semidirect
122. C2×#395C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
143. C2×#392C22semidirect
144. C2×#392C22semidirect
145. C2×#392C22semidirect
146. #2372C22semidirect
147. #2361C22semidirect
148. #2358C22semidirect
149. #2326C22semidirect
150. C2×#391C22semidirect
151. C2×#391C22semidirect
152. C2×#391C22semidirect
160. C2×#390C22semidirect
161. C2×#389C22semidirect
162. C2×#389C22semidirect
163. C2×#389C22semidirect
164. C2×#389C22semidirect
175. C2×#388C22semidirect
176. C2×#388C22semidirect
177. C2×#388C22semidirect
178. C2×#388C22semidirect
179. C2×#388C22semidirect
180. C2×#388C22semidirect
181. C2×#388C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#387C22semidirect
186. C2×#387C22semidirect
187. C2×#387C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#384C22semidirect
209. C2×#384C22semidirect
213. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×#376C22semidirect
220. C2×#376C22semidirect
265. C2×#124D4semidirect
270. C2×#124C23semidirect
271. C2×#124C23semidirect
287. C2×#123C23semidirect
288. C2×#123C23semidirect
289. C2×#123C23semidirect
314. C2×C4×Q8C23semidirect
315. C2×C4×Q8C23semidirect
332. C2×C4×D4C23semidirect
333. C2×C4×D4C23semidirect
334. C2×C4×D4C23semidirect
335. C2×C4×D4C23semidirect
365. C22×C4⋊C4C23semidirect
438. #400C23semidirect
443. #399C23semidirect
444. #399C23semidirect
445. #399C23semidirect
446. #399C23semidirect
447. #398C23semidirect
448. #398C23semidirect
451. #397C23semidirect
452. #397C23semidirect
453. #396C23semidirect
454. #395C23semidirect
463. #394C23semidirect
464. #394C23semidirect
475. #392C23semidirect
476. #392C23semidirect
477. #392C23semidirect
478. #391C23semidirect
479. #391C23semidirect
480. #391C23semidirect
488. #390C23semidirect
489. #389C23semidirect
490. #389C23semidirect
491. #389C23semidirect
492. #389C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #388C23semidirect
510. #388C23semidirect
511. #388C23semidirect
512. #388C23semidirect
513. #387C23semidirect
514. #387C23semidirect
515. #387C23semidirect
524. #386C23semidirect
525. #386C23semidirect
526. #386C23semidirect
531. #385C23semidirect
532. #385C23semidirect
533. #385C23semidirect
534. #385C23semidirect
535. #385C23semidirect
536. #384C23semidirect
537. #384C23semidirect
541. C4×C4⋊C4C23semidirect
545. C4×C22⋊C4C23semidirect
546. C4×C22⋊C4C23semidirect
547. #376C23semidirect
548. #376C23semidirect
744. #124C2×D4semidirect
1725. C2#44272direct (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×#5382
C2×#27332
C2×#27302
C2×#27182
C2×#27102
C2×#27032
C2×#26732
C2×#26702
C2×#26692
#442722
C2×#26042
C2×#26032
C2×#25552
C2×#25392
C2×#25212
C2×#25012
C2×#24482
C2×#24232
C2×#24222
C2×#24642
C2×#24562
C2×#24552
C2×#24432
C2×#24182
C2×#23972
C2×#23722
C2×#23612
C2×#23582
C2×#23262