Finite Group Databasebeta

← C2×#49569 #7705161

Subgroups — C2×#49569 #7705161

Order 512.

8848 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#560C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2727C211yesmaximal, characteristic, complemented
4C2×#2718C211yesmaximal, characteristic, complemented
5C2×#2710C211yesmaximal, characteristic, complemented
6C2×#2705C211yesmaximal, characteristic, complemented
7C2×#2703C211yesmaximal, characteristic, complemented
8C2×#2682C211yesmaximal, characteristic, complemented
9C2×#2679C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic, complemented
11C2×#2678C211yesmaximal, characteristic, complemented
12C2×#2670C211yesmaximal, characteristic, complemented
13C2×#2669C211yesmaximal, characteristic, complemented
14C2×#2668C211yesmaximal, characteristic, complemented
15#49569C2132yesmaximal, direct product factor
16C2×#2554C211yesmaximal, characteristic, complemented
17C2×#2555C211yesmaximal, characteristic, complemented
18C2×#2539C211yesmaximal, characteristic, complemented
19C2×#2539C211yesmaximal, characteristic, complemented
20C2×#2512C211yesmaximal, characteristic, complemented
21C2×#2521C211yesmaximal, characteristic, complemented
22C2×#2501C211yesmaximal, characteristic, complemented
23C2×#2411C211yesmaximal, characteristic, complemented
24C2×#2445C211yesmaximal, characteristic, complemented
25C2×#2422C211yesmaximal, characteristic, complemented
26C2×#2416C211yesmaximal, characteristic, complemented
27C2×#2424C211yesmaximal, characteristic, complemented
28C2×#2443C211yesmaximal, characteristic, complemented
29C2×#2418C211yesmaximal, characteristic, complemented
30C2×#2620C211yesmaximal, characteristic, complemented
31C2×#2663C211yesmaximal, characteristic, complemented
32C2×#2363C211yesmaximal, characteristic, complemented
33C2×#560—216no—
34C2×#560C22116yescomplemented
35C2×#538—216no—
36C2×#538C22116yescomplemented
37C22×#127C2211yescharacteristic
38C22×#126C2211yescharacteristic, complemented
39C22×#126C2211yescharacteristic, complemented
40C22×#126C2211yescharacteristic, complemented
41C22×#126C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic, complemented
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×#123C2211yescharacteristic, complemented
51C22×#123C2211yescharacteristic, complemented
52C22×#123C2211yescharacteristic, complemented
53C22×#123C2211yescharacteristic, complemented
54C22×#123C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic, complemented
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic, complemented
65C22×#121C2211yescharacteristic, complemented
66C22×#121C2211yescharacteristic, complemented
67C22×#120C2211yescharacteristic
68C22×#120C2211yescharacteristic
69C22×#120C2211yescharacteristic
70C22×#120C2211yescharacteristic
71C22×#120C2211yescharacteristic
72C22×#120C2211yescharacteristic
73C22×#120C2211yescharacteristic, complemented
74C22×#120C2211yescharacteristic, complemented
75C22×#120C2211yescharacteristic, complemented
76C22×#120C2211yescharacteristic, complemented
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic, complemented
80C22×#117C2211yescharacteristic, complemented
81C23×C4⋊C4C2211yescharacteristic, complemented
82C23×C22⋊C4C2211yescharacteristic, complemented
83C23×C22⋊C4C2211yescharacteristic, complemented
84#2727C22116yescomplemented
85#2718C22116yescomplemented
86#2710C22116yescomplemented
87#2705C22116yescomplemented
88#2703C22116yescomplemented
89#2682C22116yescomplemented
90#2679C22116yescomplemented
91#2678C22116yescomplemented
92#2678C22116yescomplemented
93#2670C22116yescomplemented
94#2669C22116yescomplemented
95#2668C22116yescomplemented
96#2663C22116yescomplemented
97#2620C22116yescomplemented
98#2555C22116yescomplemented
99#2554C22116yescomplemented
100#2539C22116yescomplemented
101#2539C22116yescomplemented
102#2521C22116yescomplemented
103#2512C22116yescomplemented
104#2501C22116yescomplemented
105#2445C22116yescomplemented
106#2443C22116yescomplemented
107#2424C22116yescomplemented
108#2422C22116yescomplemented
109#2418C22116yescomplemented
110#2416C22116yescomplemented
111#2411C22116yescomplemented
112C2×#400C2211yescharacteristic, complemented
113C2×#399C2211yescharacteristic, complemented
114C2×#399C2211yescharacteristic, complemented
115C2×#399C2211yescharacteristic, complemented
116C2×#399C2211yescharacteristic, complemented
117C2×#399C2211yescharacteristic, complemented
118C2×#399C2211yescharacteristic, complemented
119C2×#398C2211yescharacteristic, complemented
120C2×#397C2211yescharacteristic, complemented
121C2×#397C2211yescharacteristic, complemented
122C2×#397C2211yescharacteristic, complemented
123C2×#397C2211yescharacteristic, complemented
124C2×#397C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#396C2211yescharacteristic, complemented
129C2×#396C2211yescharacteristic, complemented
130C2×#396C2211yescharacteristic, complemented
131C2×#396C2211yescharacteristic, complemented
132C2×#395C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic
134C2×#394C2211yescharacteristic
135C2×#394C2211yescharacteristic
136C2×#394C2211yescharacteristic
137C2×#394C2211yescharacteristic
138C2×#394C2211yescharacteristic
139C2×#394C2211yescharacteristic
140C2×#394C2211yescharacteristic
141C2×#394C2211yescharacteristic
142C2×#394C2211yescharacteristic
143C2×#394C2211yescharacteristic
144C2×#394C2211yescharacteristic
145C2×#394C2211yescharacteristic, complemented
146C2×#394C2211yescharacteristic, complemented
147C2×#394C2211yescharacteristic, complemented
148C2×#394C2211yescharacteristic, complemented
149C2×#394C2211yescharacteristic, complemented
150C2×#393C2211yescharacteristic, complemented
151C2×#392C2211yescharacteristic
152C2×#392C2211yescharacteristic
153C2×#392C2211yescharacteristic
154C2×#392C2211yescharacteristic
155C2×#392C2211yescharacteristic
156C2×#392C2211yescharacteristic
157C2×#392C2211yescharacteristic
158C2×#392C2211yescharacteristic
159C2×#392C2211yescharacteristic, complemented
160#2363C22116yescomplemented
161C2×#391C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic
163C2×#390C2211yescharacteristic
164C2×#390C2211yescharacteristic
165C2×#390C2211yescharacteristic
166C2×#390C2211yescharacteristic
167C2×#390C2211yescharacteristic
168C2×#390C2211yescharacteristic
169C2×#390C2211yescharacteristic
170C2×#390C2211yescharacteristic, complemented
171C2×#390C2211yescharacteristic, complemented
172C2×#390C2211yescharacteristic, complemented
173C2×#390C2211yescharacteristic, complemented
174C2×#390C2211yescharacteristic, complemented
175C2×#390C2211yescharacteristic, complemented
176C2×#390C2211yescharacteristic, complemented
177C2×#389C2211yescharacteristic, complemented
178C2×#389C2211yescharacteristic, complemented
179C2×#389C2211yescharacteristic, complemented
180C2×#389C2211yescharacteristic, complemented
181C2×#389C2211yescharacteristic, complemented
182C2×#388C2211yescharacteristic, complemented
183C2×#388C2211yescharacteristic, complemented
184C2×#388C2211yescharacteristic, complemented
185C2×#388C2211yescharacteristic, complemented
186C2×#388C2211yescharacteristic, complemented
187C2×#388C2211yescharacteristic, complemented
188C2×#388C2211yescharacteristic, complemented
189C2×#388C2211yescharacteristic, complemented
190C2×#388C2211yescharacteristic, complemented
191C2×#388C2211yescharacteristic, complemented
192C2×#388C2211yescharacteristic, complemented
193C2×#388C2211yescharacteristic, complemented
194C2×#387C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic
196C2×#386C2211yescharacteristic
197C2×#386C2211yescharacteristic
198C2×#386C2211yescharacteristic, complemented
199C2×#386C2211yescharacteristic, complemented
200C2×#386C2211yescharacteristic, complemented
201C2×#386C2211yescharacteristic, complemented
202C2×#386C2211yescharacteristic, complemented
203C2×#386C2211yescharacteristic, complemented
204C2×#386C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#385C2211yescharacteristic, complemented
207C2×#385C2211yescharacteristic, complemented
208C2×#385C2211yescharacteristic, complemented
209C2×#384C2211yescharacteristic, complemented
210C2×#384C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic, complemented
215C2×C4×C4⋊C4C2211yescharacteristic, complemented
216C2×C4×C4⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C2×C4×C22⋊C4C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
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
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C24×C4C2311yescharacteristic
247C24×C4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254#560—2128no—
255#538—2128no—
256C2×#127—28no—
257C2×#127C2318yes—
258C2×#126—28no—
259C2×#126—28no—
260C2×#126—28no—
261C2×#126—28no—
262C2×#126C2318yescomplemented
263C2×#126C2318yescomplemented
264C2×#126C2318yescomplemented
265C2×#126C2318yescomplemented
266C2×#124—28no—
267C2×#124—28no—
268C2×#124—44no—
269C2×#124C2318yes—
270C2×#124C2318yescomplemented
271C2×#124C2318yescomplemented
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—28no—
277C2×#123—44no—
278C2×#123—44no—
279C2×#123—44no—
280C2×#123—44no—
281C2×#123—44no—
282C2×#123C2318yes—
283C2×#123C2318yes—
284C2×#123C2318yes—
285C2×#123C2318yescomplemented
286C2×#123C2318yescomplemented
287C2×#123C2318yescomplemented
288C2×#123C2318yescomplemented
289C2×#123C2318yescomplemented
290C2×#123C2318yescomplemented
291C2×#123C2318yescomplemented
292C2×C22⋊Q8—28no—
293C2×C22⋊Q8C2318yescomplemented
294C2×#121—28no—
295C2×#121—28no—
296C2×#121—28no—
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—28no—
300C2×#121—28no—
301C2×#121—44no—
302C2×#121—44no—
303C2×#121—44no—
304C2×#121D4116yescomplemented
305C2×#121C2318yes—
306C2×#121C2318yes—
307C2×#121C2318yes—
308C2×#121C2318yes—
309C2×#121C2318yes—
310C2×#121C2318yes—
311C2×#121C2318yes—
312C2×#121C2318yes—
313C2×#121C2318yescomplemented
314C2×#121C2318yescomplemented
315C2×#121C2318yescomplemented
316C2×#120—28no—
317C2×#120—28no—
318C2×#120—28no—
319C2×#120—28no—
320C2×#120—28no—
321C2×#120—44no—
322C2×#120—44no—
323C2×#120—44no—
324C2×#120—44no—
325C2×#120—44no—
326C2×#120C2318yes—
327C2×#120C2318yes—
328C2×#120C2318yes—
329C2×#120C2318yes—
330C2×#120C2318yes—
331C2×#120C2318yes—
332C2×#120C2318yescomplemented
333C2×#120C2318yescomplemented
334C2×#120C2318yescomplemented
335C2×#120C2318yescomplemented
336C2×C4×D4—28no—
337C2×C4×D4—28no—
338C2×C4×D4—44no—
339C2×C4×D4C2318yes—
340C2×C4×D4C2318yescomplemented
341C2×C4×D4C2318yescomplemented
342C2×#117—44no—
343C2×#117C2318yescomplemented
344C22×C4⋊C4—44no—
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⋊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⋊C4C2318yescomplemented
375C22×C22⋊C4—28no—
376C22×C22⋊C4—44no—
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×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×C22⋊C4C2311yescharacteristic
434C22×C22⋊C4C2311yescharacteristic
435C22×C22⋊C4C2311yescharacteristic
436C22×C22⋊C4C2311yescharacteristic
437C22×C22⋊C4C2311yescharacteristic
438C22×C22⋊C4C2311yescharacteristic
439C22×C22⋊C4C2318yescomplemented
440C22×C22⋊C4C2318yescomplemented
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450#400C2318yescomplemented
451#399C2318yescomplemented
452#399C2318yescomplemented
453#399C2318yescomplemented
454#399C2318yescomplemented
455#399C2318yescomplemented
456#399C2318yescomplemented
457#398C2318yescomplemented
458#397C2318yescomplemented
459#397C2318yescomplemented
460#397C2318yescomplemented
461#397C2318yescomplemented
462#397C2318yescomplemented
463#396C2318yescomplemented
464#396C2318yescomplemented
465#396C2318yescomplemented
466#396C2318yescomplemented
467#396C2318yescomplemented
468#396C2318yescomplemented
469#396C2318yescomplemented
470#395C2318yescomplemented
471#394C2318yes—
472#394C2318yes—
473#394C2318yes—
474#394C2318yes—
475#394C2318yes—
476#394C2318yes—
477#394C2318yes—
478#394C2318yes—
479#394C2318yes—
480#394C2318yes—
481#394C2318yes—
482#394C2318yes—
483#394C2318yescomplemented
484#394C2318yescomplemented
485#394C2318yescomplemented
486#394C2318yescomplemented
487#394C2318yescomplemented
488#393C2318yescomplemented
489#392C2318yes—
490#392C2318yes—
491#392C2318yes—
492#392C2318yes—
493#392C2318yes—
494#392C2318yes—
495#392C2318yes—
496#392C2318yes—
497#392C2318yescomplemented
498#391C2318yescomplemented
499#390C2318yes—
500#390C2318yes—
501#390C2318yes—
502#390C2318yes—
503#390C2318yes—
504#390C2318yes—
505#390C2318yes—
506#390C2318yes—
507#390C2318yescomplemented
508#390C2318yescomplemented
509#390C2318yescomplemented
510#390C2318yescomplemented
511#390C2318yescomplemented
512#390C2318yescomplemented
513#390C2318yescomplemented
514#389C2318yescomplemented
515#389C2318yescomplemented
516#389C2318yescomplemented
517#389C2318yescomplemented
518#389C2318yescomplemented
519#388C2318yescomplemented
520#388C2318yescomplemented
521#388C2318yescomplemented
522#388C2318yescomplemented
523#388C2318yescomplemented
524#388C2318yescomplemented
525#388C2318yescomplemented
526#388C2318yescomplemented
527#388C2318yescomplemented
528#388C2318yescomplemented
529#388C2318yescomplemented
530#388C2318yescomplemented
531#387C2318yescomplemented
532#386C2318yes—
533#386C2318yes—
534#386C2318yes—
535#386C2318yescomplemented
536#386C2318yescomplemented
537#386C2318yescomplemented
538#386C2318yescomplemented
539#386C2318yescomplemented
540#386C2318yescomplemented
541#386C2318yescomplemented
542#385C2318yescomplemented
543#385C2318yescomplemented
544#385C2318yescomplemented
545#385C2318yescomplemented
546#384C2318yescomplemented
547#384C2318yescomplemented
548#380C2318yescomplemented
549#380C2318yescomplemented
550#379C2318yescomplemented
551#379C2318yescomplemented
552C4×C4⋊C4C2318yescomplemented
553C4×C4⋊C4C2318yescomplemented
554C4×C22⋊C4C2318yescomplemented
555C4×C22⋊C4C2318yescomplemented
556C4×C22⋊C4C2318yescomplemented
557C4×C22⋊C4C2318yescomplemented
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
580C25—24no—
581C25—24no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25—42no—
591C25—42no—
592C25—42no—
593C25—42no—
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2411yescharacteristic
601C25C2411yescharacteristic
602C25C2414yes—
603C25C2414yes—
604C22×Q8—24no—
605C22×Q8—42no—
606C22×Q8—42no—
607C22×Q8C2414yes—
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—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
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×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×D4C2×D418yes—
672C22×D4C2×D418yes—
673C22×D4C2×D418yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C22×D4C2414yes—
683C22×D4C2414yes—
684C22×D4C2414yes—
685C22×D4C2414yes—
686C22×D4C2414yes—
687C22×D4C2414yes—
688C22×D4C2414yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C23×C4—24no—
697C23×C4—24no—
698C23×C4—24no—
699C23×C4—24no—
700C23×C4—24no—
701C23×C4—24no—
702C23×C4—24no—
703C23×C4—24no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4—42no—
715C23×C4—42no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—42no—
719C23×C4C2×D418yes—
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2411yescharacteristic
734C23×C4C2411yescharacteristic
735C23×C4C2411yescharacteristic
736C23×C4C2414yes—
737C23×C4C2411yescharacteristic
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751#127—232no—
752#126—232no—
753#126—232no—
754#126—232no—
755#126—232no—
756#124—232no—
757#124—232no—
758#124—416no—
759#123—232no—
760#123—232no—
761#123—232no—
762#123—232no—
763#123—232no—
764#123—416no—
765#123—416no—
766#123—416no—
767#123—416no—
768#123—416no—
769C22⋊Q8—232no—
770#121—232no—
771#121—232no—
772#121—232no—
773#121—232no—
774#121—232no—
775#121—232no—
776#121—232no—
777#121—416no—
778#121—416no—
779#121—416no—
780#121C2×D4164yescomplemented
781#120—232no—
782#120—232no—
783#120—232no—
784#120—232no—
785#120—232no—
786#120—416no—
787#120—416no—
788#120—416no—
789#120—416no—
790#120—416no—
791C4×D4—232no—
792C4×D4—232no—
793C4×D4—416no—
794#117—416no—
795C2×C4⋊C4—24no—
796C2×C4⋊C4—24no—
797C2×C4⋊C4—24no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—24no—
800C2×C4⋊C4—24no—
801C2×C4⋊C4—24no—
802C2×C4⋊C4—24no—
803C2×C4⋊C4—24no—
804C2×C4⋊C4—24no—
805C2×C4⋊C4—24no—
806C2×C4⋊C4—24no—
807C2×C4⋊C4—24no—
808C2×C4⋊C4—24no—
809C2×C4⋊C4—24no—
810C2×C4⋊C4—416no—
811C2×C4⋊C4—42no—
812C2×C4⋊C4—42no—
813C2×C4⋊C4—42no—
814C2×C4⋊C4—42no—
815C2×C4⋊C4—42no—
816C2×C4⋊C4—42no—
817C2×C4⋊C4—42no—
818C2×C4⋊C4—42no—
819C2×C4⋊C4—42no—
820C2×C4⋊C4—42no—
821C2×C4⋊C4—42no—
822C2×C4⋊C4—42no—
823C2×C4⋊C4—42no—
824C2×C4⋊C4C2×D418yes—
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×C4⋊C4C2414yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2414yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2414yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2414yes—
846C2×C4⋊C4C2414yes—
847C2×C4⋊C4C2414yes—
848C2×C4⋊C4C2414yes—
849C2×C4⋊C4C2414yes—
850C2×C4⋊C4C2414yes—
851C2×C4⋊C4C2414yes—
852C2×C4⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
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—232no—
866C2×C22⋊C4—24no—
867C2×C22⋊C4—24no—
868C2×C22⋊C4—24no—
869C2×C22⋊C4—24no—
870C2×C22⋊C4—24no—
871C2×C22⋊C4—24no—
872C2×C22⋊C4—24no—
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—416no—
893C2×C22⋊C4—42no—
894C2×C22⋊C4—42no—
895C2×C22⋊C4—42no—
896C2×C22⋊C4—42no—
897C2×C22⋊C4—42no—
898C2×C22⋊C4—42no—
899C2×C22⋊C4—42no—
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⋊C4C2×D418yes—
917C2×C22⋊C4C2×D418yes—
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×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×C42—24no—
981C2×C42—24no—
982C2×C42—24no—
983C2×C42—24no—
984C2×C42—42no—
985C2×C42—42no—
986C2×C42—42no—
987C2×C42—42no—
988C2×C42—42no—
989C2×C42C2414yes—
990C2×C42C2414yes—
991C2×C42C2414yes—
992C2×C42C2414yes—
993C2×C42C2414yes—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
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—
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—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—28no—
1074C24—28no—
1075C24—44no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—44no—
1081C24—44no—
1082C24—44no—
1083C24—44no—
1084C24—44no—
1085C24—44no—
1086C24—44no—
1087C24—416no—
1088C24—416no—
1089C24—88no—
1090C24—88no—
1091C24—88no—
1092C24—88no—
1093C24—88no—
1094C24—88no—
1095C24—88no—
1096C24—88no—
1097C24—88no—
1098C24—88no—
1099C24—88no—
1100C24—88no—
1101C24C22×D414yes—
1102C24C22×D414yes—
1103C24C22×D414yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2512yes—
1107C24C2512yes—
1108C24C2512yes—
1109C24C2512yes—
1110C24C2512yes—
1111C24C2512yes—
1112C24C2511yescharacteristic
1113C2×Q8—28no—
1114C2×Q8—44no—
1115C2×Q8—44no—
1116C2×Q8—88no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
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—44no—
1134C2×D4—416no—
1135C2×D4—416no—
1136C2×D4—416no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—44no—
1144C2×D4—44no—
1145C2×D4—44no—
1146C2×D4—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—44no—
1150C2×D4—44no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
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—44no—
1174C2×D4—44no—
1175C2×D4—44no—
1176C2×D4—44no—
1177C2×D4—44no—
1178C2×D4—44no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—88no—
1184C2×D4—88no—
1185C2×D4—88no—
1186C2×D4—88no—
1187C2×D4—88no—
1188C2×D4—88no—
1189C2×D4—88no—
1190C2×D4—88no—
1191C2×D4—88no—
1192C2×D4—88no—
1193C2×D4—88no—
1194C2×D4—88no—
1195C2×D4—88no—
1196C2×D4—88no—
1197C2×D4—88no—
1198C2×D4—88no—
1199C2×D4—88no—
1200C2×D4—88no—
1201C2×D4—88no—
1202C2×D4C22×D4116yes—
1203C2×D4C22×D4116yes—
1204C2×D4C22×D4116yes—
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—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
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—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
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—28no—
1268C22×C4—28no—
1269C22×C4—28no—
1270C22×C4—28no—
1271C22×C4—28no—
1272C22×C4—28no—
1273C22×C4—28no—
1274C22×C4—28no—
1275C22×C4—44no—
1276C22×C4—416no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—416no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—88no—
1293C22×C4—88no—
1294C22×C4—88no—
1295C22×C4—88no—
1296C22×C4—88no—
1297C22×C4—88no—
1298C22×C4C22×D414yes—
1299C22×C4C22×D414yes—
1300C22×C4C22×D414yes—
1301C22×C4C22×D414yes—
1302C22×C4C22×D4116yes—
1303C22×C4H(5,𝔽2)14yes—
1304C22×C4H(5,𝔽2)14yes—
1305C22×C4H(5,𝔽2)14yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—28no—
1342C4⋊C4—28no—
1343C4⋊C4—28no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4C22×D4116yes—
1358C22⋊C4—28no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—28no—
1368C22⋊C4—28no—
1369C22⋊C4—28no—
1370C22⋊C4—28no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
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—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4C22×D4116yes—
1419C22⋊C4C22×D4116yes—
1420C42—28no—
1421C42—28no—
1422C42—28no—
1423C42—28no—
1424C42—44no—
1425C42—44no—
1426C42—44no—
1427C42—44no—
1428C42—44no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—28no—
1448C23—28no—
1449C23—28no—
1450C23—28no—
1451C23—28no—
1452C23—28no—
1453C23—28no—
1454C23—28no—
1455C23—28no—
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—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—416no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—416no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
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—88no—
1541C23—88no—
1542C23—88no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23—88no—
1547C23—88no—
1548C23—88no—
1549C23—88no—
1550C23—88no—
1551C23—88no—
1552C23—864no—
1553C23—864no—
1554C23C23×D414yes—
1555C23C23×D414yes—
1556C23C23×D414yes—
1557C23C23×D412yes—
1558C23C2×H(5,𝔽2)12yes—
1559C23C2×H(5,𝔽2)12yes—
1560C23C2×H(5,𝔽2)12yes—
1561C23#58512yes—
1562C23#58512yes—
1563C23#58512yes—
1564C23C2611yescharacteristic
1565Q8—88no—
1566D4—416no—
1567D4—416no—
1568D4—416no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—88no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581D4—88no—
1582D4—88no—
1583D4—88no—
1584D4—88no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—28no—
1603C2×C4—28no—
1604C2×C4—28no—
1605C2×C4—28no—
1606C2×C4—28no—
1607C2×C4—28no—
1608C2×C4—28no—
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—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
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—416no—
1658C2×C4—416no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—88no—
1676C2×C4—88no—
1677C2×C4—88no—
1678C2×C4—88no—
1679C2×C4—88no—
1680C2×C4—88no—
1681C2×C4C23×D414yes—
1682C2×C4C23×D414yes—
1683C2×C4C23×D414yes—
1684C2×C4C23×D414yes—
1685C2×C4C2×H(5,𝔽2)14yes—
1686C2×C4C2×H(5,𝔽2)14yes—
1687C2×C4C2×H(5,𝔽2)14yes—
1688C22—24no—
1689C22—24no—
1690C22—24no—
1691C22—24no—
1692C22—24no—
1693C22—24no—
1694C22—24no—
1695C22—24no—
1696C22—24no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—416no—
1710C22—416no—
1711C22—416no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
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—42no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—832no—
1748C22—832no—
1749C22—88no—
1750C22—88no—
1751C22—88no—
1752C22—88no—
1753C22—88no—
1754C22#348514yes—
1755C22#349614yes—
1756C22#349814yes—
1757C22#353414yes—
1758C22#354014yes—
1759C22#354614yes—
1760C22#356014yes—
1761C22C24×D411yescharacteristic
1762C22C22×H(5,𝔽2)11yescharacteristic
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C4—24no—
1769C4—24no—
1770C4—24no—
1771C4—24no—
1772C4—24no—
1773C4—24no—
1774C4—24no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—42no—
1791C2—44no—
1792C2—44no—
1793C2—44no—
1794C2—82no—
1795C2—82no—
1796C2—82no—
1797C2—82no—
1798C2—82no—
1799C2#4956918yesdirect product factor
1800C2C2×#353411yescharacteristic
1801C2C2×#354011yescharacteristic
1802C2C2×#356011yescharacteristic
1803C2C2×#354611yescharacteristic
1804C2C2×#349611yescharacteristic
1805C2C2×#348511yescharacteristic
1806C2C2×#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×#560C2semidirect
2. C22×#538C2semidirect
3. C2×#2727C2semidirect
4. C2×#2718C2semidirect
5. C2×#2710C2semidirect
6. C2×#2705C2semidirect
7. C2×#2703C2semidirect
8. C2×#2682C2semidirect
9. C2×#2679C2semidirect
10. C2×#2678C2semidirect
11. C2×#2678C2semidirect
12. C2×#2670C2semidirect
13. C2×#2669C2semidirect
14. C2×#2668C2semidirect
15. #49569C2direct (N × H)
16. C2×#2554C2semidirect
17. C2×#2555C2semidirect
18. C2×#2539C2semidirect
19. C2×#2539C2semidirect
20. C2×#2512C2semidirect
21. C2×#2521C2semidirect
22. C2×#2501C2semidirect
23. C2×#2411C2semidirect
24. C2×#2445C2semidirect
25. C2×#2422C2semidirect
26. C2×#2416C2semidirect
27. C2×#2424C2semidirect
28. C2×#2443C2semidirect
29. C2×#2418C2semidirect
30. C2×#2620C2semidirect
31. C2×#2663C2semidirect
32. C2×#2363C2semidirect
34. C2×#560C22semidirect
36. C2×#538C22semidirect
38. C22×#126C22semidirect
39. C22×#126C22semidirect
40. C22×#126C22semidirect
41. C22×#126C22semidirect
43. C22×#124C22semidirect
44. C22×#124C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
50. C22×#123C22semidirect
51. C22×#123C22semidirect
52. C22×#123C22semidirect
53. C22×#123C22semidirect
54. C22×#123C22semidirect
55. C22×C22⋊Q8C22semidirect
64. C22×#121C22semidirect
65. C22×#121C22semidirect
66. C22×#121C22semidirect
73. C22×#120C22semidirect
74. C22×#120C22semidirect
75. C22×#120C22semidirect
76. C22×#120C22semidirect
78. C22×C4×D4C22semidirect
79. C22×C4×D4C22semidirect
80. C22×#117C22semidirect
81. C23×C4⋊C4C22semidirect
82. C23×C22⋊C4C22semidirect
83. C23×C22⋊C4C22semidirect
84. #2727C22semidirect
85. #2718C22semidirect
86. #2710C22semidirect
87. #2705C22semidirect
88. #2703C22semidirect
89. #2682C22semidirect
90. #2679C22semidirect
91. #2678C22semidirect
92. #2678C22semidirect
93. #2670C22semidirect
94. #2669C22semidirect
95. #2668C22semidirect
96. #2663C22semidirect
97. #2620C22semidirect
98. #2555C22semidirect
99. #2554C22semidirect
100. #2539C22semidirect
101. #2539C22semidirect
102. #2521C22semidirect
103. #2512C22semidirect
104. #2501C22semidirect
105. #2445C22semidirect
106. #2443C22semidirect
107. #2424C22semidirect
108. #2422C22semidirect
109. #2418C22semidirect
110. #2416C22semidirect
111. #2411C22semidirect
112. C2×#400C22semidirect
113. C2×#399C22semidirect
114. C2×#399C22semidirect
115. C2×#399C22semidirect
116. C2×#399C22semidirect
117. C2×#399C22semidirect
118. C2×#399C22semidirect
119. C2×#398C22semidirect
120. C2×#397C22semidirect
121. C2×#397C22semidirect
122. C2×#397C22semidirect
123. C2×#397C22semidirect
124. C2×#397C22semidirect
125. C2×#396C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#396C22semidirect
129. C2×#396C22semidirect
130. C2×#396C22semidirect
131. C2×#396C22semidirect
132. C2×#395C22semidirect
145. C2×#394C22semidirect
146. C2×#394C22semidirect
147. C2×#394C22semidirect
148. C2×#394C22semidirect
149. C2×#394C22semidirect
150. C2×#393C22semidirect
159. C2×#392C22semidirect
160. #2363C22semidirect
161. C2×#391C22semidirect
170. C2×#390C22semidirect
171. C2×#390C22semidirect
172. C2×#390C22semidirect
173. C2×#390C22semidirect
174. C2×#390C22semidirect
175. C2×#390C22semidirect
176. C2×#390C22semidirect
177. C2×#389C22semidirect
178. C2×#389C22semidirect
179. C2×#389C22semidirect
180. C2×#389C22semidirect
181. C2×#389C22semidirect
182. C2×#388C22semidirect
183. C2×#388C22semidirect
184. C2×#388C22semidirect
185. C2×#388C22semidirect
186. C2×#388C22semidirect
187. C2×#388C22semidirect
188. C2×#388C22semidirect
189. C2×#388C22semidirect
190. C2×#388C22semidirect
191. C2×#388C22semidirect
192. C2×#388C22semidirect
193. C2×#388C22semidirect
194. C2×#387C22semidirect
198. C2×#386C22semidirect
199. C2×#386C22semidirect
200. C2×#386C22semidirect
201. C2×#386C22semidirect
202. C2×#386C22semidirect
203. C2×#386C22semidirect
204. C2×#386C22semidirect
205. C2×#385C22semidirect
206. C2×#385C22semidirect
207. C2×#385C22semidirect
208. C2×#385C22semidirect
209. C2×#384C22semidirect
210. C2×#384C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#379C22semidirect
214. C2×#379C22semidirect
215. C2×C4×C4⋊C4C22semidirect
216. C2×C4×C4⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C2×C4×C22⋊C4C22semidirect
262. C2×#126C23semidirect
263. C2×#126C23semidirect
264. C2×#126C23semidirect
265. C2×#126C23semidirect
270. C2×#124C23semidirect
271. C2×#124C23semidirect
285. C2×#123C23semidirect
286. C2×#123C23semidirect
287. C2×#123C23semidirect
288. C2×#123C23semidirect
289. C2×#123C23semidirect
290. C2×#123C23semidirect
291. C2×#123C23semidirect
293. C2×C22⋊Q8C23semidirect
304. C2×#121D4semidirect
313. C2×#121C23semidirect
314. C2×#121C23semidirect
315. C2×#121C23semidirect
332. C2×#120C23semidirect
333. C2×#120C23semidirect
334. C2×#120C23semidirect
335. C2×#120C23semidirect
340. C2×C4×D4C23semidirect
341. C2×C4×D4C23semidirect
343. C2×#117C23semidirect
374. C22×C4⋊C4C23semidirect
439. C22×C22⋊C4C23semidirect
440. C22×C22⋊C4C23semidirect
450. #400C23semidirect
451. #399C23semidirect
452. #399C23semidirect
453. #399C23semidirect
454. #399C23semidirect
455. #399C23semidirect
456. #399C23semidirect
457. #398C23semidirect
458. #397C23semidirect
459. #397C23semidirect
460. #397C23semidirect
461. #397C23semidirect
462. #397C23semidirect
463. #396C23semidirect
464. #396C23semidirect
465. #396C23semidirect
466. #396C23semidirect
467. #396C23semidirect
468. #396C23semidirect
469. #396C23semidirect
470. #395C23semidirect
483. #394C23semidirect
484. #394C23semidirect
485. #394C23semidirect
486. #394C23semidirect
487. #394C23semidirect
488. #393C23semidirect
497. #392C23semidirect
498. #391C23semidirect
507. #390C23semidirect
508. #390C23semidirect
509. #390C23semidirect
510. #390C23semidirect
511. #390C23semidirect
512. #390C23semidirect
513. #390C23semidirect
514. #389C23semidirect
515. #389C23semidirect
516. #389C23semidirect
517. #389C23semidirect
518. #389C23semidirect
519. #388C23semidirect
520. #388C23semidirect
521. #388C23semidirect
522. #388C23semidirect
523. #388C23semidirect
524. #388C23semidirect
525. #388C23semidirect
526. #388C23semidirect
527. #388C23semidirect
528. #388C23semidirect
529. #388C23semidirect
530. #388C23semidirect
531. #387C23semidirect
535. #386C23semidirect
536. #386C23semidirect
537. #386C23semidirect
538. #386C23semidirect
539. #386C23semidirect
540. #386C23semidirect
541. #386C23semidirect
542. #385C23semidirect
543. #385C23semidirect
544. #385C23semidirect
545. #385C23semidirect
546. #384C23semidirect
547. #384C23semidirect
548. #380C23semidirect
549. #380C23semidirect
550. #379C23semidirect
551. #379C23semidirect
552. C4×C4⋊C4C23semidirect
553. C4×C4⋊C4C23semidirect
554. C4×C22⋊C4C23semidirect
555. C4×C22⋊C4C23semidirect
556. C4×C22⋊C4C23semidirect
557. C4×C22⋊C4C23semidirect
780. #121C2×D4semidirect
1799. C2#49569direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5602
C22×#5382
C2×#27272
C2×#27182
C2×#27102
C2×#27052
C2×#27032
C2×#26822
C2×#26792
C2×#26782
C2×#26702
C2×#26692
C2×#26682
#495692
C2×#25542
C2×#25552
C2×#25392
C2×#25122
C2×#25212
C2×#25012
C2×#24112
C2×#24452
C2×#24222
C2×#24162
C2×#24242
C2×#24432
C2×#24182
C2×#26202
C2×#26632
C2×#23632