Finite Group Databasebeta

← C2×#45443 #7702010

Subgroups — C2×#45443 #7702010

Order 512.

10856 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#562C211yesmaximal, characteristic, complemented
2C23×#121C211yesmaximal, characteristic, complemented
3C2×#2711C211yesmaximal, characteristic, complemented
4C2×#2708C211yesmaximal, characteristic, complemented
5C2×#2701C211yesmaximal, characteristic, complemented
6C2×#2686C211yesmaximal, characteristic, complemented
7C2×#2682C211yesmaximal, characteristic, complemented
8C2×#2681C211yesmaximal, characteristic, complemented
9C2×#2676C211yesmaximal, characteristic, complemented
10C2×#2676C211yesmaximal, characteristic, complemented
11C2×#2672C211yesmaximal, characteristic, complemented
12C2×#2671C211yesmaximal, characteristic, complemented
13C2×#2671C211yesmaximal, characteristic, complemented
14C2×#2671C211yesmaximal, characteristic, complemented
15#45443C2132yesmaximal, direct product factor
16C2×#2813C211yesmaximal, characteristic, complemented
17C2×#2816C211yesmaximal, characteristic, complemented
18C2×#2849C211yesmaximal, characteristic, complemented
19C2×#2848C211yesmaximal, characteristic, complemented
20C2×#2435C211yesmaximal, characteristic, complemented
21C2×#2408C211yesmaximal, characteristic, complemented
22C2×#2473C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic, complemented
24C2×#2405C211yesmaximal, characteristic, complemented
25C2×#2405C211yesmaximal, characteristic, complemented
26C2×#2449C211yesmaximal, characteristic, complemented
27C2×#2418C211yesmaximal, characteristic, complemented
28C2×#2437C211yesmaximal, characteristic, complemented
29C2×#2437C211yesmaximal, characteristic, complemented
30C2×#2410C211yesmaximal, characteristic, complemented
31C2×#2410C211yesmaximal, characteristic, complemented
32C2×#2377C211yesmaximal, characteristic, complemented
33C24×D4C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C24×D4C2211yescharacteristic
36C25×C4C2211yescharacteristic
37C2×#562—216no—
38C2×#562C22116yescomplemented
39C22×#125C2211yescharacteristic, complemented
40C22×#124C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic, complemented
43C22×#123C2211yescharacteristic, complemented
44C22×#123C2211yescharacteristic, complemented
45C22×#123C2211yescharacteristic, complemented
46C22×#123C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×C22⋊Q8C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic, complemented
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×C22⋊Q8C2211yescharacteristic, complemented
55C22×C22⋊Q8C2211yescharacteristic, complemented
56C22×C22⋊Q8C2211yescharacteristic, complemented
57C22×#121—216no—
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×#121C2211yescharacteristic
66C22×#121C22116yescomplemented
67C22×#121C2211yescharacteristic, complemented
68C22×#121C2211yescharacteristic, complemented
69C22×#121C2211yescharacteristic, complemented
70C22×#121C2211yescharacteristic, complemented
71C22×#121C2211yescharacteristic, complemented
72C22×#121C2211yescharacteristic, complemented
73C22×#120C2211yescharacteristic
74C22×#120C2211yescharacteristic
75C22×#120C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77C23×C4⋊C4C2211yescharacteristic
78C23×C22⋊C4C2211yescharacteristic
79C23×C22⋊C4C2211yescharacteristic
80C23×C22⋊C4C2211yescharacteristic
81C23×C22⋊C4C2211yescharacteristic
82#2849C22116yescomplemented
83#2848C22116yescomplemented
84#2816C22116yescomplemented
85#2813C22116yescomplemented
86#2711C22116yescomplemented
87#2708C22116yescomplemented
88#2701C22116yescomplemented
89#2686C22116yescomplemented
90#2682C22116yescomplemented
91#2681C22116yescomplemented
92#2676C22116yescomplemented
93#2676C22116yescomplemented
94#2672C22116yescomplemented
95#2671C22116yescomplemented
96#2671C22116yescomplemented
97#2671C22116yescomplemented
98#2473C22116yescomplemented
99#2472C22116yescomplemented
100#2449C22116yescomplemented
101#2437C22116yescomplemented
102#2437C22116yescomplemented
103#2435C22116yescomplemented
104#2418C22116yescomplemented
105#2410C22116yescomplemented
106#2410C22116yescomplemented
107#2408C22116yescomplemented
108#2405C22116yescomplemented
109#2405C22116yescomplemented
110C2×#400C2211yescharacteristic, complemented
111C2×#399C2211yescharacteristic, complemented
112C2×#399C2211yescharacteristic, complemented
113C2×#399C2211yescharacteristic, complemented
114C2×#399C2211yescharacteristic, complemented
115C2×#398C2211yescharacteristic, complemented
116C2×#398C2211yescharacteristic, complemented
117C2×#398C2211yescharacteristic, complemented
118C2×#398C2211yescharacteristic, complemented
119C2×#397C2211yescharacteristic, complemented
120C2×#397C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#396C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#395C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#394C2211yescharacteristic, complemented
141C2×#394C2211yescharacteristic, complemented
142C2×#394C2211yescharacteristic, complemented
143C2×#394C2211yescharacteristic, complemented
144C2×#394C2211yescharacteristic, complemented
145C2×#394C2211yescharacteristic, complemented
146C2×#394C2211yescharacteristic, complemented
147C2×#394C2211yescharacteristic, complemented
148C2×#394C2211yescharacteristic, complemented
149C2×#393C2211yescharacteristic, complemented
150C2×#393C2211yescharacteristic, complemented
151C2×#393C2211yescharacteristic, complemented
152C2×#392C2211yescharacteristic, complemented
153C2×#392C2211yescharacteristic, complemented
154C2×#392C2211yescharacteristic, complemented
155C2×#392C2211yescharacteristic, complemented
156C2×#392C2211yescharacteristic, complemented
157C2×#392C2211yescharacteristic, complemented
158#2377C22116yescomplemented
159C2×#390C2211yescharacteristic, complemented
160C2×#390C2211yescharacteristic, complemented
161C2×#390C2211yescharacteristic, complemented
162C2×#390C2211yescharacteristic, complemented
163C2×#390C2211yescharacteristic, complemented
164C2×#389C2211yescharacteristic, complemented
165C2×#389C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#387C2211yescharacteristic, complemented
171C2×#387C2211yescharacteristic, complemented
172C2×#387C2211yescharacteristic, complemented
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic, complemented
177C2×#386C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic, complemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#385C2211yescharacteristic
188C2×#385C2211yescharacteristic
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic, complemented
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#381C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic
208C2×#380C2211yescharacteristic
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic
217C2×#379C2211yescharacteristic
218C2×#379C2211yescharacteristic
219C2×#379C2211yescharacteristic
220C2×C4×C22⋊C4C2211yescharacteristic
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C26C2311yescharacteristic
224C23×Q8C2311yescharacteristic
225C23×Q8C2311yescharacteristic
226C23×D4—28no—
227C23×D4—28no—
228C23×D4—28no—
229C23×D4—44no—
230C23×D4—44no—
231C23×D4—44no—
232C23×D4—44no—
233C23×D4—44no—
234C23×D4—44no—
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2318yes—
246C23×D4C2318yes—
247C23×D4C2318yes—
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C23×D4C2311yescharacteristic
256C23×D4C2311yescharacteristic
257C24×C4—28no—
258C24×C4—44no—
259C24×C4—44no—
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2318yes—
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2311yescharacteristic
272C24×C4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274#562—2128no—
275C2×#125—28no—
276C2×#125C2318yescomplemented
277C2×#124—28no—
278C2×#124—28no—
279C2×#124—44no—
280C2×#124C2318yescomplemented
281C2×#124C2318yescomplemented
282C2×#124C2318yescomplemented
283C2×#123—28no—
284C2×#123—28no—
285C2×#123—28no—
286C2×#123—28no—
287C2×#123—44no—
288C2×#123—44no—
289C2×#123—44no—
290C2×#123C2318yescomplemented
291C2×#123C2318yescomplemented
292C2×#123C2318yescomplemented
293C2×#123C2318yescomplemented
294C2×#123C2318yescomplemented
295C2×#123C2318yescomplemented
296C2×#123C2318yescomplemented
297C2×C22⋊Q8—28no—
298C2×C22⋊Q8—28no—
299C2×C22⋊Q8—28no—
300C2×C22⋊Q8—28no—
301C2×C22⋊Q8—44no—
302C2×C22⋊Q8—44no—
303C2×C22⋊Q8—44no—
304C2×C22⋊Q8C2318yes—
305C2×C22⋊Q8C2318yes—
306C2×C22⋊Q8C2318yescomplemented
307C2×C22⋊Q8C2318yescomplemented
308C2×C22⋊Q8C2318yescomplemented
309C2×C22⋊Q8C2318yescomplemented
310C2×C22⋊Q8C2318yescomplemented
311C2×#121—28no—
312C2×#121—28no—
313C2×#121—28no—
314C2×#121—28no—
315C2×#121—28no—
316C2×#121—28no—
317C2×#121—28no—
318C2×#121—2128no—
319C2×#121—28no—
320C2×#121—28no—
321C2×#121—28no—
322C2×#121—44no—
323C2×#121—44no—
324C2×#121—44no—
325C2×#121D4116yescomplemented
326C2×#121C2318yes—
327C2×#121C2318yes—
328C2×#121C2318yes—
329C2×#121C2318yes—
330C2×#121C2318yes—
331C2×#121C2318yes—
332C2×#121C2318yes—
333C2×#121C2318yes—
334C2×#121C2318yescomplemented
335C2×#121C2318yescomplemented
336C2×#121C2318yescomplemented
337C2×#121C2318yescomplemented
338C2×#121C2318yescomplemented
339C2×#121C2318yescomplemented
340C2×#120—44no—
341C2×#120—44no—
342C2×#120—44no—
343C2×#120C2318yes—
344C2×#120C2318yes—
345C2×#120C2318yes—
346C2×C4×D4—44no—
347C2×C4×D4C2318yes—
348C22×C4⋊C4—28no—
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⋊C4C2318yes—
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C22⋊C4—28no—
380C22×C22⋊C4—28no—
381C22×C22⋊C4—44no—
382C22×C22⋊C4—44no—
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⋊C4C2318yes—
406C22×C22⋊C4C2318yes—
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⋊C4C2311yescharacteristic
440C22×C22⋊C4C2311yescharacteristic
441C22×C22⋊C4C2311yescharacteristic
442C22×C22⋊C4C2311yescharacteristic
443C22×C22⋊C4C2318yes—
444C22×C22⋊C4C2318yes—
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450#400C2318yescomplemented
451#399C2318yescomplemented
452#399C2318yescomplemented
453#399C2318yescomplemented
454#399C2318yescomplemented
455#398C2318yescomplemented
456#398C2318yescomplemented
457#398C2318yescomplemented
458#398C2318yescomplemented
459#397C2318yescomplemented
460#397C2318yescomplemented
461#396C2318yescomplemented
462#396C2318yescomplemented
463#396C2318yescomplemented
464#396C2318yescomplemented
465#396C2318yescomplemented
466#395C2318yescomplemented
467#394C2318yescomplemented
468#394C2318yescomplemented
469#394C2318yescomplemented
470#394C2318yescomplemented
471#394C2318yescomplemented
472#394C2318yescomplemented
473#394C2318yescomplemented
474#394C2318yescomplemented
475#394C2318yescomplemented
476#394C2318yescomplemented
477#394C2318yescomplemented
478#394C2318yescomplemented
479#394C2318yescomplemented
480#394C2318yescomplemented
481#394C2318yescomplemented
482#394C2318yescomplemented
483#394C2318yescomplemented
484#394C2318yescomplemented
485#394C2318yescomplemented
486#394C2318yescomplemented
487#394C2318yescomplemented
488#394C2318yescomplemented
489#393C2318yescomplemented
490#393C2318yescomplemented
491#393C2318yescomplemented
492#392C2318yescomplemented
493#392C2318yescomplemented
494#392C2318yescomplemented
495#392C2318yescomplemented
496#392C2318yescomplemented
497#392C2318yescomplemented
498#390C2318yescomplemented
499#390C2318yescomplemented
500#390C2318yescomplemented
501#390C2318yescomplemented
502#390C2318yescomplemented
503#389C2318yescomplemented
504#389C2318yescomplemented
505#388C2318yescomplemented
506#388C2318yescomplemented
507#388C2318yescomplemented
508#388C2318yescomplemented
509#387C2318yescomplemented
510#387C2318yescomplemented
511#387C2318yescomplemented
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yescomplemented
516#386C2318yescomplemented
517#386C2318yescomplemented
518#386C2318yescomplemented
519#386C2318yescomplemented
520#386C2318yescomplemented
521#386C2318yescomplemented
522#386C2318yescomplemented
523#386C2318yescomplemented
524#386C2318yescomplemented
525#386C2318yescomplemented
526#385C2318yes—
527#385C2318yes—
528#385C2318yes—
529#385C2318yes—
530#385C2318yes—
531#385C2318yes—
532#385C2318yes—
533#385C2318yescomplemented
534#385C2318yescomplemented
535#385C2318yescomplemented
536#385C2318yescomplemented
537#385C2318yescomplemented
538#385C2318yescomplemented
539#385C2318yescomplemented
540#385C2318yescomplemented
541#385C2318yescomplemented
542#385C2318yescomplemented
543#385C2318yescomplemented
544#381C2318yescomplemented
545#381C2318yescomplemented
546#380C2318yes—
547#380C2318yes—
548#380C2318yescomplemented
549#380C2318yescomplemented
550#380C2318yescomplemented
551#380C2318yescomplemented
552#379C2318yes—
553#379C2318yes—
554#379C2318yes—
555#379C2318yes—
556#379C2318yes—
557#379C2318yes—
558#379C2318yes—
559C4×C22⋊C4C2318yes—
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2311yescharacteristic
580C2×#95C2311yescharacteristic
581C2×#95C2311yescharacteristic
582C2×#95C2311yescharacteristic
583C2×#95C2311yescharacteristic
584C2×#95C2311yescharacteristic
585C2×#95C2311yescharacteristic
586C25—24no—
587C25—24no—
588C25—24no—
589C25—24no—
590C25—24no—
591C25—24no—
592C25—24no—
593C25—24no—
594C25—24no—
595C25—24no—
596C25—24no—
597C25—24no—
598C25—24no—
599C25—42no—
600C25—42no—
601C25—42no—
602C25—42no—
603C25—42no—
604C25—42no—
605C25—42no—
606C25—42no—
607C25C2411yescharacteristic
608C25C2411yescharacteristic
609C25C2411yescharacteristic
610C25C2411yescharacteristic
611C25C2411yescharacteristic
612C25C2411yescharacteristic
613C25C2411yescharacteristic
614C25C2414yes—
615C25C2414yes—
616C25C2414yes—
617C25C2411yescharacteristic
618C22×Q8—24no—
619C22×Q8—24no—
620C22×Q8—42no—
621C22×Q8—42no—
622C22×Q8—42no—
623C22×Q8—42no—
624C22×Q8C2414yes—
625C22×Q8C2414yes—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—24no—
638C22×D4—24no—
639C22×D4—24no—
640C22×D4—24no—
641C22×D4—24no—
642C22×D4—24no—
643C22×D4—232no—
644C22×D4—232no—
645C22×D4—232no—
646C22×D4—24no—
647C22×D4—24no—
648C22×D4—24no—
649C22×D4—24no—
650C22×D4—24no—
651C22×D4—416no—
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—416no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—416no—
672C22×D4—416no—
673C22×D4—464no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—42no—
679C22×D4—42no—
680C22×D4—42no—
681C22×D4—42no—
682C22×D4—42no—
683C22×D4—42no—
684C22×D4—42no—
685C22×D4—42no—
686C22×D4—42no—
687C22×D4—42no—
688C22×D4—416no—
689C22×D4—416no—
690C22×D4—464no—
691C22×D4—464no—
692C22×D4C2×D418yes—
693C22×D4C2×D418yes—
694C22×D4C2×D418yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
711C22×D4C2414yes—
712C22×D4C2414yes—
713C22×D4C2414yes—
714C23×C4—24no—
715C23×C4—24no—
716C23×C4—24no—
717C23×C4—24no—
718C23×C4—24no—
719C23×C4—24no—
720C23×C4—24no—
721C23×C4—24no—
722C23×C4—24no—
723C23×C4—24no—
724C23×C4—24no—
725C23×C4—24no—
726C23×C4—24no—
727C23×C4—232no—
728C23×C4—24no—
729C23×C4—24no—
730C23×C4—24no—
731C23×C4—24no—
732C23×C4—416no—
733C23×C4—42no—
734C23×C4—42no—
735C23×C4—42no—
736C23×C4—42no—
737C23×C4—42no—
738C23×C4—42no—
739C23×C4—42no—
740C23×C4—416no—
741C23×C4—42no—
742C23×C4—42no—
743C23×C4—42no—
744C23×C4—42no—
745C23×C4—42no—
746C23×C4—42no—
747C23×C4—42no—
748C23×C4—42no—
749C23×C4—42no—
750C23×C4—42no—
751C23×C4—42no—
752C23×C4—42no—
753C23×C4—42no—
754C23×C4—42no—
755C23×C4—464no—
756C23×C4C2×D418yes—
757C23×C4C2414yes—
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2411yescharacteristic
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793#125—232no—
794#124—232no—
795#124—232no—
796#124—416no—
797#123—232no—
798#123—232no—
799#123—232no—
800#123—232no—
801#123—416no—
802#123—416no—
803#123—416no—
804C22⋊Q8—232no—
805C22⋊Q8—232no—
806C22⋊Q8—232no—
807C22⋊Q8—232no—
808C22⋊Q8—416no—
809C22⋊Q8—416no—
810C22⋊Q8—416no—
811#121—232no—
812#121—232no—
813#121—232no—
814#121—232no—
815#121—232no—
816#121—232no—
817#121—232no—
818#121—232no—
819#121—232no—
820#121—232no—
821#121—416no—
822#121—416no—
823#121—416no—
824#121C2×D4164yescomplemented
825#120—416no—
826#120—416no—
827#120—416no—
828C4×D4—416no—
829C2×C4⋊C4—24no—
830C2×C4⋊C4—24no—
831C2×C4⋊C4—24no—
832C2×C4⋊C4—24no—
833C2×C4⋊C4—24no—
834C2×C4⋊C4—24no—
835C2×C4⋊C4—24no—
836C2×C4⋊C4—24no—
837C2×C4⋊C4—24no—
838C2×C4⋊C4—24no—
839C2×C4⋊C4—24no—
840C2×C4⋊C4—24no—
841C2×C4⋊C4—24no—
842C2×C4⋊C4—24no—
843C2×C4⋊C4—24no—
844C2×C4⋊C4—232no—
845C2×C4⋊C4—42no—
846C2×C4⋊C4—42no—
847C2×C4⋊C4—42no—
848C2×C4⋊C4—42no—
849C2×C4⋊C4—42no—
850C2×C4⋊C4—42no—
851C2×C4⋊C4—42no—
852C2×C4⋊C4—42no—
853C2×C4⋊C4—42no—
854C2×C4⋊C4—42no—
855C2×C4⋊C4—42no—
856C2×C4⋊C4—42no—
857C2×C4⋊C4—42no—
858C2×C4⋊C4C2×D418yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C4⋊C4C2414yes—
873C2×C4⋊C4C2414yes—
874C2×C4⋊C4C2414yes—
875C2×C4⋊C4C2414yes—
876C2×C4⋊C4C2414yes—
877C2×C4⋊C4C2414yes—
878C2×C4⋊C4C2414yes—
879C2×C4⋊C4C2414yes—
880C2×C4⋊C4C2414yes—
881C2×C4⋊C4C2414yes—
882C2×C4⋊C4C2414yes—
883C2×C4⋊C4C2414yes—
884C2×C4⋊C4C2414yes—
885C2×C4⋊C4C2414yes—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2414yes—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—24no—
897C2×C22⋊C4—24no—
898C2×C22⋊C4—24no—
899C2×C22⋊C4—24no—
900C2×C22⋊C4—24no—
901C2×C22⋊C4—24no—
902C2×C22⋊C4—24no—
903C2×C22⋊C4—24no—
904C2×C22⋊C4—24no—
905C2×C22⋊C4—24no—
906C2×C22⋊C4—24no—
907C2×C22⋊C4—24no—
908C2×C22⋊C4—24no—
909C2×C22⋊C4—24no—
910C2×C22⋊C4—24no—
911C2×C22⋊C4—24no—
912C2×C22⋊C4—24no—
913C2×C22⋊C4—24no—
914C2×C22⋊C4—24no—
915C2×C22⋊C4—232no—
916C2×C22⋊C4—232no—
917C2×C22⋊C4—416no—
918C2×C22⋊C4—416no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4—42no—
921C2×C22⋊C4—42no—
922C2×C22⋊C4—42no—
923C2×C22⋊C4—42no—
924C2×C22⋊C4—42no—
925C2×C22⋊C4—42no—
926C2×C22⋊C4—42no—
927C2×C22⋊C4—42no—
928C2×C22⋊C4—42no—
929C2×C22⋊C4—42no—
930C2×C22⋊C4—42no—
931C2×C22⋊C4—42no—
932C2×C22⋊C4—42no—
933C2×C22⋊C4—42no—
934C2×C22⋊C4—42no—
935C2×C22⋊C4—42no—
936C2×C22⋊C4—42no—
937C2×C22⋊C4—42no—
938C2×C22⋊C4—42no—
939C2×C22⋊C4—42no—
940C2×C22⋊C4—42no—
941C2×C22⋊C4—42no—
942C2×C22⋊C4—42no—
943C2×C22⋊C4—42no—
944C2×C22⋊C4—42no—
945C2×C22⋊C4—42no—
946C2×C22⋊C4—42no—
947C2×C22⋊C4—42no—
948C2×C22⋊C4—42no—
949C2×C22⋊C4—42no—
950C2×C22⋊C4C2×D418yes—
951C2×C22⋊C4C2×D418yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C42—24no—
1013C2×C42—42no—
1014C2×C42—42no—
1015C2×C42C2414yes—
1016C2×C42C2414yes—
1017C2×C42C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
1033#95C2414yes—
1034#95C2414yes—
1035#95C2414yes—
1036#95C2414yes—
1037#95C2414yes—
1038#95C2414yes—
1039#95C2414yes—
1040#95C2414yes—
1041#95C2414yes—
1042#95C2414yes—
1043#95C2414yes—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—232no—
1049C24—28no—
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—28no—
1064C24—28no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—28no—
1078C24—28no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—22no—
1088C24—22no—
1089C24—22no—
1090C24—22no—
1091C24—22no—
1092C24—28no—
1093C24—22no—
1094C24—22no—
1095C24—28no—
1096C24—22no—
1097C24—22no—
1098C24—22no—
1099C24—22no—
1100C24—22no—
1101C24—28no—
1102C24—28no—
1103C24—28no—
1104C24—28no—
1105C24—28no—
1106C24—28no—
1107C24—44no—
1108C24—44no—
1109C24—44no—
1110C24—44no—
1111C24—44no—
1112C24—44no—
1113C24—44no—
1114C24—44no—
1115C24—416no—
1116C24—416no—
1117C24—416no—
1118C24—416no—
1119C24—416no—
1120C24—416no—
1121C24—416no—
1122C24—416no—
1123C24—416no—
1124C24—416no—
1125C24—416no—
1126C24—416no—
1127C24—416no—
1128C24—416no—
1129C24—88no—
1130C24—88no—
1131C24—88no—
1132C24—88no—
1133C24—88no—
1134C24—88no—
1135C24C22×D414yes—
1136C24C22×D414yes—
1137C24C22×D414yes—
1138C24H(5,𝔽2)14yes—
1139C24H(5,𝔽2)14yes—
1140C24H(5,𝔽2)14yes—
1141C242−1+414yes—
1142C24C2512yes—
1143C24C2512yes—
1144C24C2512yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2512yes—
1148C24C2512yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151C2×Q8—28no—
1152C2×Q8—28no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—88no—
1158C2×Q8—88no—
1159C2×D4—28no—
1160C2×D4—28no—
1161C2×D4—28no—
1162C2×D4—28no—
1163C2×D4—28no—
1164C2×D4—28no—
1165C2×D4—28no—
1166C2×D4—28no—
1167C2×D4—28no—
1168C2×D4—28no—
1169C2×D4—28no—
1170C2×D4—28no—
1171C2×D4—28no—
1172C2×D4—28no—
1173C2×D4—28no—
1174C2×D4—28no—
1175C2×D4—28no—
1176C2×D4—28no—
1177C2×D4—28no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—28no—
1181C2×D4—416no—
1182C2×D4—416no—
1183C2×D4—416no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—416no—
1203C2×D4—416no—
1204C2×D4—416no—
1205C2×D4—416no—
1206C2×D4—4128no—
1207C2×D4—416no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—416no—
1223C2×D4—416no—
1224C2×D4—4128no—
1225C2×D4—4128no—
1226C2×D4—416no—
1227C2×D4—416no—
1228C2×D4—416no—
1229C2×D4—88no—
1230C2×D4—88no—
1231C2×D4—88no—
1232C2×D4—88no—
1233C2×D4—88no—
1234C2×D4—88no—
1235C2×D4C22×D4116yes—
1236C2×D4C22×D4116yes—
1237C2×D4C22×D4116yes—
1238C22×C4—232no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—28no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—28no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—28no—
1311C22×C4—28no—
1312C22×C4—28no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—28no—
1316C22×C4—28no—
1317C22×C4—28no—
1318C22×C4—28no—
1319C22×C4—28no—
1320C22×C4—416no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—416no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—416no—
1344C22×C4—416no—
1345C22×C4—416no—
1346C22×C4—416no—
1347C22×C4—4128no—
1348C22×C4—416no—
1349C22×C4—88no—
1350C22×C4—88no—
1351C22×C4—88no—
1352C22×C4—88no—
1353C22×C4—88no—
1354C22×C4C22×D414yes—
1355C22×C4C22×D414yes—
1356C22×C4C22×D414yes—
1357C22×C4C22×D414yes—
1358C22×C4C22×D4116yes—
1359C22×C4H(5,𝔽2)14yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C4⋊C4—28no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—28no—
1389C4⋊C4—28no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—28no—
1395C4⋊C4—28no—
1396C4⋊C4—28no—
1397C4⋊C4—28no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4C22×D4116yes—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—28no—
1429C22⋊C4—28no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4C22×D4116yes—
1471C22⋊C4C22×D4116yes—
1472C42—28no—
1473C42—44no—
1474C42—44no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—28no—
1480C23—28no—
1481C23—28no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—232no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—28no—
1511C23—28no—
1512C23—28no—
1513C23—28no—
1514C23—28no—
1515C23—28no—
1516C23—28no—
1517C23—28no—
1518C23—28no—
1519C23—28no—
1520C23—28no—
1521C23—28no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—416no—
1544C23—416no—
1545C23—416no—
1546C23—416no—
1547C23—416no—
1548C23—416no—
1549C23—416no—
1550C23—416no—
1551C23—416no—
1552C23—416no—
1553C23—4128no—
1554C23—416no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—416no—
1562C23—44no—
1563C23—44no—
1564C23—44no—
1565C23—44no—
1566C23—44no—
1567C23—44no—
1568C23—44no—
1569C23—44no—
1570C23—44no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—44no—
1580C23—44no—
1581C23—44no—
1582C23—44no—
1583C23—44no—
1584C23—416no—
1585C23—416no—
1586C23—44no—
1587C23—44no—
1588C23—44no—
1589C23—44no—
1590C23—44no—
1591C23—44no—
1592C23—44no—
1593C23—44no—
1594C23—44no—
1595C23—88no—
1596C23—88no—
1597C23—88no—
1598C23—88no—
1599C23—88no—
1600C23—88no—
1601C23—864no—
1602C23—864no—
1603C23#562116yescomplemented
1604C23C23×D414yes—
1605C23C23×D414yes—
1606C23C23×D414yes—
1607C23C23×D412yes—
1608C23C2×H(5,𝔽2)14yes—
1609C23C2×H(5,𝔽2)14yes—
1610C23C2×H(5,𝔽2)14yes—
1611C23C2×H(5,𝔽2)12yes—
1612C23C2×H(5,𝔽2)12yes—
1613C23C2×H(5,𝔽2)12yes—
1614C23C2×H(5,𝔽2)12yes—
1615C23C2×2−1+414yes—
1616C23C2×2−1+412yes—
1617C23#58512yes—
1618C23C2611yescharacteristic
1619Q8—88no—
1620Q8—88no—
1621D4—416no—
1622D4—416no—
1623D4—416no—
1624D4—416no—
1625D4—416no—
1626D4—416no—
1627D4—416no—
1628D4—416no—
1629D4—416no—
1630D4—416no—
1631D4—416no—
1632D4—416no—
1633D4—416no—
1634D4—88no—
1635D4—88no—
1636D4—88no—
1637D4—88no—
1638D4—88no—
1639D4—88no—
1640C2×C4—232no—
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—28no—
1652C2×C4—28no—
1653C2×C4—28no—
1654C2×C4—28no—
1655C2×C4—28no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—416no—
1711C2×C4—416no—
1712C2×C4—416no—
1713C2×C4—416no—
1714C2×C4—416no—
1715C2×C4—416no—
1716C2×C4—416no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—88no—
1736C2×C4—88no—
1737C2×C4—88no—
1738C2×C4—88no—
1739C2×C4—88no—
1740C2×C4C23×D414yes—
1741C2×C4C23×D414yes—
1742C2×C4C23×D414yes—
1743C2×C4C23×D414yes—
1744C2×C4C2×H(5,𝔽2)14yes—
1745C22—24no—
1746C22—24no—
1747C22—24no—
1748C22—24no—
1749C22—24no—
1750C22—232no—
1751C22—24no—
1752C22—24no—
1753C22—24no—
1754C22—24no—
1755C22—24no—
1756C22—24no—
1757C22—24no—
1758C22—24no—
1759C22—24no—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—464no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—416no—
1774C22—416no—
1775C22—416no—
1776C22—416no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—42no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—832no—
1807C22—832no—
1808C22—88no—
1809C22—88no—
1810C22—88no—
1811C22#348414yes—
1812C22#348414yes—
1813C22#348914yes—
1814C22C2×#56214yes—
1815C22C2×#56218yescomplemented
1816C22#353414yes—
1817C22#353614yes—
1818C22#354214yes—
1819C22C24×D411yescharacteristic
1820C22C22×H(5,𝔽2)11yescharacteristic
1821C22C22×H(5,𝔽2)11yescharacteristic
1822C22C22×H(5,𝔽2)11yescharacteristic
1823C22C22×H(5,𝔽2)11yescharacteristic
1824C22C22×2−1+411yescharacteristic
1825C22C2×#58511yescharacteristic
1826C4—24no—
1827C4—24no—
1828C4—24no—
1829C4—24no—
1830C4—24no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—42no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—42no—
1845C4—42no—
1846C4—42no—
1847C4—42no—
1848C4—42no—
1849C2—28no—
1850C2—44no—
1851C2—44no—
1852C2—44no—
1853C2—44no—
1854C2—82no—
1855C2—82no—
1856C2—82no—
1857C2#4544318yesdirect product factor
1858C2C22×#56211yescharacteristic
1859C2C2×#354211yescharacteristic
1860C2C2×#353411yescharacteristic
1861C2C2×#353611yescharacteristic
1862C2C2×#348411yescharacteristic
1863C2C2×#348411yescharacteristic
1864C2C2×#348911yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×#562C2semidirect
2. C23×#121C2semidirect
3. C2×#2711C2semidirect
4. C2×#2708C2semidirect
5. C2×#2701C2semidirect
6. C2×#2686C2semidirect
7. C2×#2682C2semidirect
8. C2×#2681C2semidirect
9. C2×#2676C2semidirect
10. C2×#2676C2semidirect
11. C2×#2672C2semidirect
12. C2×#2671C2semidirect
13. C2×#2671C2semidirect
14. C2×#2671C2semidirect
15. #45443C2direct (N × H)
16. C2×#2813C2semidirect
17. C2×#2816C2semidirect
18. C2×#2849C2semidirect
19. C2×#2848C2semidirect
20. C2×#2435C2semidirect
21. C2×#2408C2semidirect
22. C2×#2473C2semidirect
23. C2×#2472C2semidirect
24. C2×#2405C2semidirect
25. C2×#2405C2semidirect
26. C2×#2449C2semidirect
27. C2×#2418C2semidirect
28. C2×#2437C2semidirect
29. C2×#2437C2semidirect
30. C2×#2410C2semidirect
31. C2×#2410C2semidirect
32. C2×#2377C2semidirect
38. C2×#562C22semidirect
39. C22×#125C22semidirect
40. C22×#124C22semidirect
41. C22×#124C22semidirect
42. C22×#124C22semidirect
43. C22×#123C22semidirect
44. C22×#123C22semidirect
45. C22×#123C22semidirect
46. C22×#123C22semidirect
47. C22×#123C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
52. C22×C22⋊Q8C22semidirect
53. C22×C22⋊Q8C22semidirect
54. C22×C22⋊Q8C22semidirect
55. C22×C22⋊Q8C22semidirect
56. C22×C22⋊Q8C22semidirect
66. C22×#121C22semidirect
67. C22×#121C22semidirect
68. C22×#121C22semidirect
69. C22×#121C22semidirect
70. C22×#121C22semidirect
71. C22×#121C22semidirect
72. C22×#121C22semidirect
82. #2849C22semidirect
83. #2848C22semidirect
84. #2816C22semidirect
85. #2813C22semidirect
86. #2711C22semidirect
87. #2708C22semidirect
88. #2701C22semidirect
89. #2686C22semidirect
90. #2682C22semidirect
91. #2681C22semidirect
92. #2676C22semidirect
93. #2676C22semidirect
94. #2672C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
98. #2473C22semidirect
99. #2472C22semidirect
100. #2449C22semidirect
101. #2437C22semidirect
102. #2437C22semidirect
103. #2435C22semidirect
104. #2418C22semidirect
105. #2410C22semidirect
106. #2410C22semidirect
107. #2408C22semidirect
108. #2405C22semidirect
109. #2405C22semidirect
110. C2×#400C22semidirect
111. C2×#399C22semidirect
112. C2×#399C22semidirect
113. C2×#399C22semidirect
114. C2×#399C22semidirect
115. C2×#398C22semidirect
116. C2×#398C22semidirect
117. C2×#398C22semidirect
118. C2×#398C22semidirect
119. C2×#397C22semidirect
120. C2×#397C22semidirect
121. C2×#396C22semidirect
122. C2×#396C22semidirect
123. C2×#396C22semidirect
124. C2×#396C22semidirect
125. C2×#396C22semidirect
126. C2×#395C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#394C22semidirect
141. C2×#394C22semidirect
142. C2×#394C22semidirect
143. C2×#394C22semidirect
144. C2×#394C22semidirect
145. C2×#394C22semidirect
146. C2×#394C22semidirect
147. C2×#394C22semidirect
148. C2×#394C22semidirect
149. C2×#393C22semidirect
150. C2×#393C22semidirect
151. C2×#393C22semidirect
152. C2×#392C22semidirect
153. C2×#392C22semidirect
154. C2×#392C22semidirect
155. C2×#392C22semidirect
156. C2×#392C22semidirect
157. C2×#392C22semidirect
158. #2377C22semidirect
159. C2×#390C22semidirect
160. C2×#390C22semidirect
161. C2×#390C22semidirect
162. C2×#390C22semidirect
163. C2×#390C22semidirect
164. C2×#389C22semidirect
165. C2×#389C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#387C22semidirect
171. C2×#387C22semidirect
172. C2×#387C22semidirect
176. C2×#386C22semidirect
177. C2×#386C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
194. C2×#385C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#381C22semidirect
206. C2×#381C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
276. C2×#125C23semidirect
280. C2×#124C23semidirect
281. C2×#124C23semidirect
282. C2×#124C23semidirect
290. C2×#123C23semidirect
291. C2×#123C23semidirect
292. C2×#123C23semidirect
293. C2×#123C23semidirect
294. C2×#123C23semidirect
295. C2×#123C23semidirect
296. C2×#123C23semidirect
306. C2×C22⋊Q8C23semidirect
307. C2×C22⋊Q8C23semidirect
308. C2×C22⋊Q8C23semidirect
309. C2×C22⋊Q8C23semidirect
310. C2×C22⋊Q8C23semidirect
325. C2×#121D4semidirect
334. C2×#121C23semidirect
335. C2×#121C23semidirect
336. C2×#121C23semidirect
337. C2×#121C23semidirect
338. C2×#121C23semidirect
339. C2×#121C23semidirect
450. #400C23semidirect
451. #399C23semidirect
452. #399C23semidirect
453. #399C23semidirect
454. #399C23semidirect
455. #398C23semidirect
456. #398C23semidirect
457. #398C23semidirect
458. #398C23semidirect
459. #397C23semidirect
460. #397C23semidirect
461. #396C23semidirect
462. #396C23semidirect
463. #396C23semidirect
464. #396C23semidirect
465. #396C23semidirect
466. #395C23semidirect
467. #394C23semidirect
468. #394C23semidirect
469. #394C23semidirect
470. #394C23semidirect
471. #394C23semidirect
472. #394C23semidirect
473. #394C23semidirect
474. #394C23semidirect
475. #394C23semidirect
476. #394C23semidirect
477. #394C23semidirect
478. #394C23semidirect
479. #394C23semidirect
480. #394C23semidirect
481. #394C23semidirect
482. #394C23semidirect
483. #394C23semidirect
484. #394C23semidirect
485. #394C23semidirect
486. #394C23semidirect
487. #394C23semidirect
488. #394C23semidirect
489. #393C23semidirect
490. #393C23semidirect
491. #393C23semidirect
492. #392C23semidirect
493. #392C23semidirect
494. #392C23semidirect
495. #392C23semidirect
496. #392C23semidirect
497. #392C23semidirect
498. #390C23semidirect
499. #390C23semidirect
500. #390C23semidirect
501. #390C23semidirect
502. #390C23semidirect
503. #389C23semidirect
504. #389C23semidirect
505. #388C23semidirect
506. #388C23semidirect
507. #388C23semidirect
508. #388C23semidirect
509. #387C23semidirect
510. #387C23semidirect
511. #387C23semidirect
515. #386C23semidirect
516. #386C23semidirect
517. #386C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #386C23semidirect
523. #386C23semidirect
524. #386C23semidirect
525. #386C23semidirect
533. #385C23semidirect
534. #385C23semidirect
535. #385C23semidirect
536. #385C23semidirect
537. #385C23semidirect
538. #385C23semidirect
539. #385C23semidirect
540. #385C23semidirect
541. #385C23semidirect
542. #385C23semidirect
543. #385C23semidirect
544. #381C23semidirect
545. #381C23semidirect
548. #380C23semidirect
549. #380C23semidirect
550. #380C23semidirect
551. #380C23semidirect
824. #121C2×D4semidirect
1603. C23#562semidirect
1815. C22C2×#562semidirect
1857. C2#45443direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5622
C23×#1212
C2×#27112
C2×#27082
C2×#27012
C2×#26862
C2×#26822
C2×#26812
C2×#26762
C2×#26722
C2×#26712
#454432
C2×#28132
C2×#28162
C2×#28492
C2×#28482
C2×#24352
C2×#24082
C2×#24732
C2×#24722
C2×#24052
C2×#24492
C2×#24182
C2×#24372
C2×#24102
C2×#23772