Finite Group Databasebeta

← C2×#44001 #7668237

Subgroups — C2×#44001 #7668237

Order 512.

10548 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#551C211yesmaximal, characteristic, complemented
2C22×#546C211yesmaximal, characteristic, complemented
3C2×#2714C211yesmaximal, characteristic, complemented
4C2×#2712C211yesmaximal, characteristic, complemented
5C2×#2705C211yesmaximal, characteristic, complemented
6C2×#2703C211yesmaximal, characteristic, complemented
7C2×#2702C211yesmaximal, characteristic, complemented
8C2×#2696C211yesmaximal, characteristic, complemented
9C2×#2671C211yesmaximal, characteristic, complemented
10C2×#2670C211yesmaximal, characteristic, complemented
11#44001C2132yesmaximal, direct product factor
12C2×#2482C211yesmaximal, characteristic, complemented
13C2×#2404C211yesmaximal, characteristic, complemented
14C2×#2477C211yesmaximal, characteristic, complemented
15C2×#2414C211yesmaximal, characteristic, complemented
16C2×#2427C211yesmaximal, characteristic, complemented
17C2×#2450C211yesmaximal, characteristic, complemented
18C2×#2444C211yesmaximal, characteristic, complemented
19C2×#2467C211yesmaximal, characteristic, complemented
20C2×#2459C211yesmaximal, characteristic, complemented
21C2×#2472C211yesmaximal, characteristic, complemented
22C2×#2412C211yesmaximal, characteristic, complemented
23C2×#2424C211yesmaximal, characteristic, complemented
24C2×#2424C211yesmaximal, characteristic, complemented
25C2×#2418C211yesmaximal, characteristic, complemented
26C2×#2410C211yesmaximal, characteristic, complemented
27C2×#2403C211yesmaximal, characteristic, complemented
28C22×#394C211yesmaximal, characteristic, complemented
29C2×#2358C211yesmaximal, characteristic, complemented
30C2×D4×C22⋊C4C211yesmaximal, characteristic, complemented
31C2×#2322C211yesmaximal, characteristic, complemented
32C2×#2311C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C24×D4C2211yescharacteristic
36C2×#551—216no—
37C2×#551C22116yescomplemented
38C2×#546—216no—
39C2×#546C22116yescomplemented
40C22×#126C2211yescharacteristic, complemented
41C22×#126C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic, complemented
43C22×#124C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic, complemented
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic, complemented
49C22×C22⋊Q8C2211yescharacteristic, complemented
50C22×C22⋊Q8C2211yescharacteristic, complemented
51C22×C22⋊Q8C2211yescharacteristic, complemented
52C22×#121C2211yescharacteristic
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic, complemented
55C22×#121C2211yescharacteristic, complemented
56C22×#121C2211yescharacteristic, complemented
57C22×#121C2211yescharacteristic, complemented
58C22×#120C2211yescharacteristic
59C22×#120C2211yescharacteristic
60C22×#120C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic, complemented
64C22×#120C2211yescharacteristic, complemented
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic, complemented
69C22×C4×D4C2211yescharacteristic, complemented
70C22×C4×D4C2211yescharacteristic, complemented
71C22×#117C2211yescharacteristic, complemented
72C22×#117C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74C23×C22⋊C4C2211yescharacteristic
75C23×C22⋊C4C2211yescharacteristic
76C23×C22⋊C4C2211yescharacteristic, complemented
77C23×C22⋊C4C2211yescharacteristic, complemented
78C23×C22⋊C4C2211yescharacteristic, complemented
79C23×C22⋊C4C2211yescharacteristic, complemented
80C23×C22⋊C4C2211yescharacteristic, complemented
81#2714C22116yescomplemented
82#2712C22116yescomplemented
83#2705C22116yescomplemented
84#2703C22116yescomplemented
85#2702C22116yescomplemented
86#2696C22116yescomplemented
87#2671C22116yescomplemented
88#2670C22116yescomplemented
89#2482C22116yescomplemented
90#2477C22116yescomplemented
91#2472C22116yescomplemented
92#2467C22116yescomplemented
93#2459C22116yescomplemented
94#2450C22116yescomplemented
95#2444C22116yescomplemented
96#2427C22116yescomplemented
97#2424C22116yescomplemented
98#2424C22116yescomplemented
99#2418C22116yescomplemented
100#2414C22116yescomplemented
101#2412C22116yescomplemented
102#2410C22116yescomplemented
103#2404C22116yescomplemented
104#2403C22116yescomplemented
105C2×#400C2211yescharacteristic, complemented
106C2×#400C2211yescharacteristic, complemented
107C2×#399C2211yescharacteristic, complemented
108C2×#399C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#396C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117C2×#394C2211yescharacteristic
118C2×#394C2211yescharacteristic
119C2×#394C2211yescharacteristic
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic, complemented
123C2×#394C2211yescharacteristic, complemented
124C2×#394C2211yescharacteristic, complemented
125C2×#394C2211yescharacteristic, complemented
126C2×#394C2211yescharacteristic, complemented
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C22116yescomplemented
133C2×#393C2211yescharacteristic, complemented
134C2×#393C2211yescharacteristic, complemented
135C2×#393C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic, complemented
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic, complemented
143C2×#392C2211yescharacteristic, complemented
144C2×#392C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic, complemented
146#2358C22116yescomplemented
147D4×C22⋊C4C22116yescomplemented
148#2322C22116yescomplemented
149#2311C22116yescomplemented
150C2×#391C2211yescharacteristic, complemented
151C2×#391C2211yescharacteristic, complemented
152C2×#391C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic, complemented
154C2×#390C2211yescharacteristic, complemented
155C2×#390C2211yescharacteristic, complemented
156C2×#390C2211yescharacteristic, complemented
157C2×#390C2211yescharacteristic, complemented
158C2×#390C2211yescharacteristic, complemented
159C2×#390C2211yescharacteristic, complemented
160C2×#389C2211yescharacteristic, complemented
161C2×#389C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C2211yescharacteristic, complemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#386C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#385C2211yescharacteristic, complemented
205C2×#385C2211yescharacteristic, complemented
206C2×#381C2211yescharacteristic, complemented
207C2×#381C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#379C2211yescharacteristic
215C2×#379C2211yescharacteristic
216C2×#379C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
219C2×C4×C22⋊C4C2211yescharacteristic, complemented
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C26C2311yescharacteristic
224C22×#41—28no—
225C22×#41—28no—
226C22×#41—44no—
227C22×#41C2318yes—
228C23×Q8C2311yescharacteristic
229C23×Q8C2311yescharacteristic
230C23×D4—28no—
231C23×D4—28no—
232C23×D4—44no—
233C23×D4—44no—
234C23×D4—44no—
235C23×D4—44no—
236C23×D4C2311yescharacteristic
237C23×D4C2318yes—
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C23×D4C2318yes—
256C23×D4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270#551—2128no—
271#546—2128no—
272C2×#126—28no—
273C2×#126—28no—
274C2×#126C2318yescomplemented
275C2×#126C2318yescomplemented
276C2×#124—28no—
277C2×#124—28no—
278C2×#124—44no—
279C2×#124C2318yescomplemented
280C2×#124C2318yescomplemented
281C2×#124C2318yescomplemented
282C2×#123—28no—
283C2×#123—28no—
284C2×#123—28no—
285C2×#123D4116yescomplemented
286C2×#123C2318yes—
287C2×#123C2318yescomplemented
288C2×#123C2318yescomplemented
289C2×#123C2318yescomplemented
290C2×C22⋊Q8—28no—
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8—28no—
293C2×C22⋊Q8C2318yescomplemented
294C2×C22⋊Q8C2318yescomplemented
295C2×C22⋊Q8C2318yescomplemented
296C2×#121—28no—
297C2×#121—28no—
298C2×#121—28no—
299C2×#121—44no—
300C2×#121—44no—
301C2×#121—44no—
302C2×#121C2318yes—
303C2×#121C2318yes—
304C2×#121C2318yescomplemented
305C2×#121C2318yescomplemented
306C2×#121C2318yescomplemented
307C2×#121C2318yescomplemented
308C2×#120—28no—
309C2×#120—28no—
310C2×#120—28no—
311C2×#120—28no—
312C2×#120—44no—
313C2×#120—44no—
314C2×#120—44no—
315C2×#120C2318yes—
316C2×#120C2318yes—
317C2×#120C2318yes—
318C2×#120C2318yes—
319C2×#120C2318yes—
320C2×#120C2318yescomplemented
321C2×#120C2318yescomplemented
322C2×C4×D4—28no—
323C2×C4×D4—28no—
324C2×C4×D4—28no—
325C2×C4×D4—28no—
326C2×C4×D4—44no—
327C2×C4×D4—44no—
328C2×C4×D4C2318yes—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yescomplemented
332C2×C4×D4C2318yescomplemented
333C2×C4×D4C2318yescomplemented
334C2×#117—28no—
335C2×#117—28no—
336C2×#117C2318yescomplemented
337C2×#117C2318yescomplemented
338C22×C4⋊C4—44no—
339C22×C4⋊C4C2311yescharacteristic
340C22×C4⋊C4C2311yescharacteristic
341C22×C4⋊C4C2311yescharacteristic
342C22×C4⋊C4C2311yescharacteristic
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2311yescharacteristic
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2318yescomplemented
361C22×C22⋊C4—28no—
362C22×C22⋊C4—28no—
363C22×C22⋊C4—28no—
364C22×C22⋊C4—28no—
365C22×C22⋊C4—44no—
366C22×C22⋊C4—44no—
367C22×C22⋊C4—44no—
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
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⋊C4C2318yescomplemented
431C22×C22⋊C4C2318yescomplemented
432C22×C22⋊C4C2318yescomplemented
433C22×C22⋊C4C2318yescomplemented
434C22×C22⋊C4C2318yescomplemented
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442#400C2318yescomplemented
443#400C2318yescomplemented
444#399C2318yescomplemented
445#399C2318yescomplemented
446#398C2318yescomplemented
447#397C2318yescomplemented
448#397C2318yescomplemented
449#397C2318yescomplemented
450#397C2318yescomplemented
451#397C2318yescomplemented
452#396C2318yescomplemented
453#396C2318yescomplemented
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yes—
459#394C2318yescomplemented
460#394C2318yescomplemented
461#394C2318yescomplemented
462#394C2318yescomplemented
463#394C2318yescomplemented
464#394C2318yescomplemented
465#394C2318yescomplemented
466#394C2318yescomplemented
467#394C2318yescomplemented
468#394C2318yescomplemented
469#393C2318yescomplemented
470#393C2318yescomplemented
471#393C2318yescomplemented
472#393C2318yescomplemented
473#392C2318yes—
474#392C2318yes—
475#392C2318yes—
476#392C2318yes—
477#392C2318yes—
478#392C2318yescomplemented
479#392C2318yescomplemented
480#392C2318yescomplemented
481#392C2318yescomplemented
482#391C2318yescomplemented
483#391C2318yescomplemented
484#391C2318yescomplemented
485#390C2318yescomplemented
486#390C2318yescomplemented
487#390C2318yescomplemented
488#390C2318yescomplemented
489#390C2318yescomplemented
490#390C2318yescomplemented
491#390C2318yescomplemented
492#389C2318yescomplemented
493#389C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#388C2318yescomplemented
497#388C2318yescomplemented
498#388C2318yescomplemented
499#388C2318yescomplemented
500#388C2318yescomplemented
501#388C2318yescomplemented
502#388C2318yescomplemented
503#388C2318yescomplemented
504#388C2318yescomplemented
505#388C2318yescomplemented
506#387C2318yescomplemented
507#387C2318yescomplemented
508#387C2318yescomplemented
509#387C2318yescomplemented
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yes—
514#386C2318yes—
515#386C2318yes—
516#386C2318yes—
517#386C2318yescomplemented
518#386C2318yescomplemented
519#386C2318yescomplemented
520#386C2318yescomplemented
521#386C2318yescomplemented
522#386C2318yescomplemented
523#386C2318yescomplemented
524#386C2318yescomplemented
525#386C2318yescomplemented
526#386C2318yescomplemented
527#386C2318yescomplemented
528#386C2318yescomplemented
529#386C2318yescomplemented
530#386C2318yescomplemented
531#385C2318yescomplemented
532#385C2318yescomplemented
533#385C2318yescomplemented
534#385C2318yescomplemented
535#385C2318yescomplemented
536#385C2318yescomplemented
537#385C2318yescomplemented
538#381C2318yescomplemented
539#381C2318yescomplemented
540#380C2318yescomplemented
541#380C2318yescomplemented
542#380C2318yescomplemented
543#380C2318yescomplemented
544#380C2318yescomplemented
545#380C2318yescomplemented
546#379C2318yes—
547#379C2318yes—
548#379C2318yescomplemented
549C4×C22⋊C4C2318yescomplemented
550C4×C22⋊C4C2318yescomplemented
551C4×C22⋊C4C2318yescomplemented
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C2×#95C2311yescharacteristic
578C2×#95C2311yescharacteristic
579C2×#95C2311yescharacteristic
580C2×#95C2311yescharacteristic
581C2×#95C2311yescharacteristic
582C2×#95C2318yescomplemented
583C25—24no—
584C25—24no—
585C25—24no—
586C25—24no—
587C25—24no—
588C25—24no—
589C25—24no—
590C25—24no—
591C25—24no—
592C25—24no—
593C25—24no—
594C25—42no—
595C25—42no—
596C25—42no—
597C25—42no—
598C25—42no—
599C25—42no—
600C25—42no—
601C25—42no—
602C25—42no—
603C25—42no—
604C25C2411yescharacteristic
605C25C2411yescharacteristic
606C25C2411yescharacteristic
607C25C2411yescharacteristic
608C25C2411yescharacteristic
609C25C2411yescharacteristic
610C25C2411yescharacteristic
611C25C2414yes—
612C25C2414yes—
613C25C2411yescharacteristic
614C25C2414yes—
615C2×#41—232no—
616C2×#41—232no—
617C2×#41—416no—
618C2×#41—464no—
619C22×Q8—24no—
620C22×Q8—24no—
621C22×Q8—24no—
622C22×Q8—42no—
623C22×Q8—42no—
624C22×Q8—42no—
625C22×Q8C2414yes—
626C22×Q8C2414yes—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—24no—
638C22×D4—24no—
639C22×D4—24no—
640C22×D4—24no—
641C22×D4—24no—
642C22×D4—24no—
643C22×D4—24no—
644C22×D4—24no—
645C22×D4—24no—
646C22×D4—24no—
647C22×D4—24no—
648C22×D4—24no—
649C22×D4—24no—
650C22×D4—232no—
651C22×D4—232no—
652C22×D4—24no—
653C22×D4—24no—
654C22×D4—24no—
655C22×D4—24no—
656C22×D4—24no—
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—416no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—42no—
679C22×D4—42no—
680C22×D4—42no—
681C22×D4—42no—
682C22×D4—42no—
683C22×D4—42no—
684C22×D4—42no—
685C22×D4—416no—
686C22×D4—416no—
687C22×D4—416no—
688C22×D4—464no—
689C22×D4—464no—
690C22×D4C2×D418yes—
691C22×D4#4118yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
711C23×C4—24no—
712C23×C4—24no—
713C23×C4—24no—
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—24no—
728C23×C4—42no—
729C23×C4—42no—
730C23×C4—42no—
731C23×C4—42no—
732C23×C4—42no—
733C23×C4—42no—
734C23×C4—42no—
735C23×C4—42no—
736C23×C4—42no—
737C23×C4—42no—
738C23×C4—42no—
739C23×C4—42no—
740C23×C4—42no—
741C23×C4—42no—
742C23×C4—42no—
743C23×C4—42no—
744C23×C4—42no—
745C23×C4—42no—
746C23×C4—42no—
747C23×C4—42no—
748C23×C4—42no—
749C23×C4C2×D418yes—
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2411yescharacteristic
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2414yes—
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2411yescharacteristic
773C23×C4C2411yescharacteristic
774C23×C4C2411yescharacteristic
775C23×C4C2411yescharacteristic
776C23×C4C2411yescharacteristic
777C23×C4C2411yescharacteristic
778C23×C4C2414yes—
779C23×C4C2414yes—
780C23×C4C2414yes—
781C23×C4C2414yes—
782C23×C4C2414yes—
783C23×C4C2414yes—
784C23×C4C2414yes—
785C23×C4C2414yes—
786#126—232no—
787#126—232no—
788#124—232no—
789#124—232no—
790#124—416no—
791#123—232no—
792#123—232no—
793#123—232no—
794#123C2×D4164yescomplemented
795C22⋊Q8—232no—
796C22⋊Q8—232no—
797C22⋊Q8—232no—
798#121—232no—
799#121—232no—
800#121—232no—
801#121—416no—
802#121—416no—
803#121—416no—
804#120—232no—
805#120—232no—
806#120—232no—
807#120—232no—
808#120—416no—
809#120—416no—
810#120—416no—
811C4×D4—232no—
812C4×D4—232no—
813C4×D4—232no—
814C4×D4—232no—
815C4×D4—416no—
816C4×D4—416no—
817#117—232no—
818#117—232no—
819C2×C4⋊C4—24no—
820C2×C4⋊C4—24no—
821C2×C4⋊C4—24no—
822C2×C4⋊C4—24no—
823C2×C4⋊C4—24no—
824C2×C4⋊C4—24no—
825C2×C4⋊C4—24no—
826C2×C4⋊C4—24no—
827C2×C4⋊C4—42no—
828C2×C4⋊C4—42no—
829C2×C4⋊C4—42no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—416no—
832C2×C4⋊C4—42no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—42no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4—42no—
839C2×C4⋊C4C2×D418yescomplemented
840C2×C4⋊C4C2×D418yescomplemented
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×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C22⋊C4—24no—
863C2×C22⋊C4—24no—
864C2×C22⋊C4—24no—
865C2×C22⋊C4—24no—
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—232no—
886C2×C22⋊C4—232no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—232no—
895C2×C22⋊C4—232no—
896C2×C22⋊C4—416no—
897C2×C22⋊C4—416no—
898C2×C22⋊C4—416no—
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⋊C4—42no—
917C2×C22⋊C4—42no—
918C2×C22⋊C4—42no—
919C2×C22⋊C4—42no—
920C2×C22⋊C4—42no—
921C2×C22⋊C4—42no—
922C2×C22⋊C4—42no—
923C2×C22⋊C4—42no—
924C2×C22⋊C4—42no—
925C2×C22⋊C4—42no—
926C2×C22⋊C4C2×D418yes—
927C2×C22⋊C4C2×D418yescomplemented
928C2×C22⋊C4C2×D418yescomplemented
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C22⋊C4C2414yes—
952C2×C22⋊C4C2414yes—
953C2×C22⋊C4C2414yes—
954C2×C22⋊C4C2414yes—
955C2×C22⋊C4C2414yes—
956C2×C22⋊C4C2414yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2414yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2414yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C42—24no—
990C2×C42—24no—
991C2×C42—24no—
992C2×C42—24no—
993C2×C42—42no—
994C2×C42—42no—
995C2×C42—42no—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023#95C2414yes—
1024#95C2414yes—
1025#95C2414yes—
1026#95C2414yes—
1027#95C2414yes—
1028#95C2414yes—
1029#95C2414yes—
1030#95C2414yes—
1031#95C2414yes—
1032#95C2414yes—
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—28no—
1070C24—28no—
1071C24—22no—
1072C24—22no—
1073C24—22no—
1074C24—22no—
1075C24—22no—
1076C24—22no—
1077C24—22no—
1078C24—22no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—28no—
1085C24—28no—
1086C24—28no—
1087C24—28no—
1088C24—28no—
1089C24—28no—
1090C24—28no—
1091C24—28no—
1092C24—28no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—44no—
1101C24—44no—
1102C24—44no—
1103C24—416no—
1104C24—416no—
1105C24—416no—
1106C24—416no—
1107C24—416no—
1108C24—416no—
1109C24—416no—
1110C24—416no—
1111C24—416no—
1112C24—416no—
1113C24—416no—
1114C24—88no—
1115C24—88no—
1116C24—88no—
1117C24—88no—
1118C24—88no—
1119C24—88no—
1120C24—88no—
1121C24—88no—
1122C24—88no—
1123C24—88no—
1124C24C22×D414yes—
1125C24C22×D414yes—
1126C24C2×#4114yes—
1127C24C2×#4114yes—
1128C24H(5,𝔽2)14yes—
1129C24H(5,𝔽2)14yes—
1130C24H(5,𝔽2)14yes—
1131C24C2512yes—
1132C24C2512yes—
1133C24C2512yes—
1134C24C2512yes—
1135C24C2512yes—
1136C24C2512yes—
1137C24C2512yes—
1138C24C2512yes—
1139C24C2511yescharacteristic
1140#41—4128no—
1141C2×Q8—28no—
1142C2×Q8—28no—
1143C2×Q8—28no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×Q8—416no—
1148C2×Q8—88no—
1149C2×D4—232no—
1150C2×D4—232no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—28no—
1156C2×D4—28no—
1157C2×D4—28no—
1158C2×D4—28no—
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—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—44no—
1184C2×D4—44no—
1185C2×D4—44no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C2×D4—44no—
1193C2×D4—416no—
1194C2×D4—416no—
1195C2×D4—416no—
1196C2×D4—416no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—4128no—
1211C2×D4—416no—
1212C2×D4—416no—
1213C2×D4—416no—
1214C2×D4—416no—
1215C2×D4—416no—
1216C2×D4—4128no—
1217C2×D4—416no—
1218C2×D4—416no—
1219C2×D4—88no—
1220C2×D4—88no—
1221C2×D4—88no—
1222C2×D4—88no—
1223C2×D4—88no—
1224C2×D4—88no—
1225C2×D4C22×D4116yes—
1226C2×D4C2×#41116yes—
1227C22×C4—232no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—28no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—28no—
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—28no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—28no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—28no—
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—28no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—28no—
1307C22×C4—28no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—416no—
1315C22×C4—416no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—416no—
1332C22×C4—416no—
1333C22×C4—416no—
1334C22×C4—88no—
1335C22×C4—88no—
1336C22×C4—88no—
1337C22×C4—88no—
1338C22×C4—88no—
1339C22×C4—88no—
1340C22×C4—88no—
1341C22×C4C22×D414yes—
1342C22×C4C22×D414yes—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C22×D4116yes—
1346C22×C4C22×D414yes—
1347C22×C4C2×#4114yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C4⋊C4—28no—
1372C4⋊C4—28no—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4C22×D4116yescomplemented
1391C4⋊C4C22×D4116yescomplemented
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—28no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
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—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
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⋊C4C22×D4116yes—
1450C22⋊C4C22×D4116yescomplemented
1451C22⋊C4C22×D4116yescomplemented
1452C42—28no—
1453C42—28no—
1454C42—28no—
1455C42—28no—
1456C42—44no—
1457C42—44no—
1458C42—44no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—28no—
1464C23—28no—
1465C23—28no—
1466C23—28no—
1467C23—28no—
1468C23—28no—
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—22no—
1492C23—22no—
1493C23—28no—
1494C23—28no—
1495C23—28no—
1496C23—28no—
1497C23—28no—
1498C23—28no—
1499C23—28no—
1500C23—28no—
1501C23—28no—
1502C23—28no—
1503C23—28no—
1504C23—28no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—416no—
1527C23—416no—
1528C23—416no—
1529C23—416no—
1530C23—416no—
1531C23—416no—
1532C23—416no—
1533C23—416no—
1534C23—416no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—416no—
1553C23—44no—
1554C23—416no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
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—88no—
1575C23—88no—
1576C23—88no—
1577C23—88no—
1578C23—88no—
1579C23—88no—
1580C23—88no—
1581C23—88no—
1582C23—88no—
1583C23—864no—
1584C23—864no—
1585C23—88no—
1586C23—864no—
1587C23#546116yes—
1588C23C23×D414yes—
1589C23C23×D414yes—
1590C23C23×D412yes—
1591C23C22×#4114yes—
1592C23C22×#4114yes—
1593C23C22×#4112yes—
1594C23C2×H(5,𝔽2)14yes—
1595C23C2×H(5,𝔽2)14yes—
1596C23C2×H(5,𝔽2)14yes—
1597C23C2×H(5,𝔽2)12yes—
1598C23C2×H(5,𝔽2)12yes—
1599C23C2×H(5,𝔽2)12yes—
1600C23#58512yes—
1601C23#58512yes—
1602C23C2611yescharacteristic
1603Q8—416no—
1604Q8—88no—
1605D4—232no—
1606D4—232no—
1607D4—416no—
1608D4—416no—
1609D4—416no—
1610D4—416no—
1611D4—416no—
1612D4—416no—
1613D4—416no—
1614D4—416no—
1615D4—416no—
1616D4—416no—
1617D4—416no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621D4—88no—
1622D4—88no—
1623D4—88no—
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—28no—
1637C2×C4—28no—
1638C2×C4—232no—
1639C2×C4—28no—
1640C2×C4—28no—
1641C2×C4—28no—
1642C2×C4—28no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—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—416no—
1695C2×C4—416no—
1696C2×C4—416no—
1697C2×C4—416no—
1698C2×C4—416no—
1699C2×C4—44no—
1700C2×C4—44no—
1701C2×C4—44no—
1702C2×C4—44no—
1703C2×C4—44no—
1704C2×C4—44no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—88no—
1719C2×C4—88no—
1720C2×C4—88no—
1721C2×C4—88no—
1722C2×C4—88no—
1723C2×C4C23×D414yes—
1724C2×C4C23×D414yes—
1725C2×C4C23×D414yes—
1726C2×C4C23×D414yes—
1727C2×C4C23×D414yes—
1728C2×C4C22×#4114yes—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—24no—
1733C22—24no—
1734C22—232no—
1735C22—24no—
1736C22—24no—
1737C22—24no—
1738C22—24no—
1739C22—24no—
1740C22—24no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—24no—
1745C22—24no—
1746C22—24no—
1747C22—24no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—416no—
1761C22—416no—
1762C22—416no—
1763C22—416no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
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—832no—
1790C22—832no—
1791C22—832no—
1792C22—88no—
1793C22—88no—
1794C22—88no—
1795C22C2×#54618yes—
1796C22C2×#54614yes—
1797C22#348814yes—
1798C22#348814yes—
1799C22#351314yes—
1800C22#351314yes—
1801C22#353214yes—
1802C22#354514yes—
1803C22C24×D411yescharacteristic
1804C22C23×#4111yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C22×H(5,𝔽2)11yescharacteristic
1807C22C22×H(5,𝔽2)11yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22C2×#58511yescharacteristic
1810C4—24no—
1811C4—24no—
1812C4—24no—
1813C4—24no—
1814C4—24no—
1815C4—24no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C2—28no—
1834C2—44no—
1835C2—44no—
1836C2—44no—
1837C2—44no—
1838C2—82no—
1839C2—82no—
1840C2—82no—
1841C2#4400118yesdirect product factor
1842C2C22×#54611yescharacteristic
1843C2C2×#353211yescharacteristic
1844C2C2×#354511yescharacteristic
1845C2C2×#351311yescharacteristic
1846C2C2×#351311yescharacteristic
1847C2C2×#348811yescharacteristic
1848C2C2×#348811yescharacteristic
subgroupG/H
center, socleC24C25
commutator, Frattini, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#551C2semidirect
2. C22×#546C2semidirect
3. C2×#2714C2semidirect
4. C2×#2712C2semidirect
5. C2×#2705C2semidirect
6. C2×#2703C2semidirect
7. C2×#2702C2semidirect
8. C2×#2696C2semidirect
9. C2×#2671C2semidirect
10. C2×#2670C2semidirect
11. #44001C2direct (N × H)
12. C2×#2482C2semidirect
13. C2×#2404C2semidirect
14. C2×#2477C2semidirect
15. C2×#2414C2semidirect
16. C2×#2427C2semidirect
17. C2×#2450C2semidirect
18. C2×#2444C2semidirect
19. C2×#2467C2semidirect
20. C2×#2459C2semidirect
21. C2×#2472C2semidirect
22. C2×#2412C2semidirect
23. C2×#2424C2semidirect
24. C2×#2424C2semidirect
25. C2×#2418C2semidirect
26. C2×#2410C2semidirect
27. C2×#2403C2semidirect
28. C22×#394C2semidirect
29. C2×#2358C2semidirect
30. C2×D4×C22⋊C4C2semidirect
31. C2×#2322C2semidirect
32. C2×#2311C2semidirect
37. C2×#551C22semidirect
39. C2×#546C22semidirect
40. C22×#126C22semidirect
41. C22×#126C22semidirect
42. C22×#124C22semidirect
43. C22×#124C22semidirect
44. C22×#124C22semidirect
46. C22×#123C22semidirect
47. C22×#123C22semidirect
48. C22×#123C22semidirect
49. C22×C22⋊Q8C22semidirect
50. C22×C22⋊Q8C22semidirect
51. C22×C22⋊Q8C22semidirect
54. C22×#121C22semidirect
55. C22×#121C22semidirect
56. C22×#121C22semidirect
57. C22×#121C22semidirect
63. C22×#120C22semidirect
64. C22×#120C22semidirect
68. C22×C4×D4C22semidirect
69. C22×C4×D4C22semidirect
70. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
72. C22×#117C22semidirect
73. C23×C4⋊C4C22semidirect
76. C23×C22⋊C4C22semidirect
77. C23×C22⋊C4C22semidirect
78. C23×C22⋊C4C22semidirect
79. C23×C22⋊C4C22semidirect
80. C23×C22⋊C4C22semidirect
81. #2714C22semidirect
82. #2712C22semidirect
83. #2705C22semidirect
84. #2703C22semidirect
85. #2702C22semidirect
86. #2696C22semidirect
87. #2671C22semidirect
88. #2670C22semidirect
89. #2482C22semidirect
90. #2477C22semidirect
91. #2472C22semidirect
92. #2467C22semidirect
93. #2459C22semidirect
94. #2450C22semidirect
95. #2444C22semidirect
96. #2427C22semidirect
97. #2424C22semidirect
98. #2424C22semidirect
99. #2418C22semidirect
100. #2414C22semidirect
101. #2412C22semidirect
102. #2410C22semidirect
103. #2404C22semidirect
104. #2403C22semidirect
105. C2×#400C22semidirect
106. C2×#400C22semidirect
107. C2×#399C22semidirect
108. C2×#399C22semidirect
109. C2×#398C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#396C22semidirect
116. C2×#396C22semidirect
122. C2×#394C22semidirect
123. C2×#394C22semidirect
124. C2×#394C22semidirect
125. C2×#394C22semidirect
126. C2×#394C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#393C22semidirect
134. C2×#393C22semidirect
135. C2×#393C22semidirect
136. C2×#393C22semidirect
142. C2×#392C22semidirect
143. C2×#392C22semidirect
144. C2×#392C22semidirect
145. C2×#392C22semidirect
146. #2358C22semidirect
147. D4×C22⋊C4C22semidirect
148. #2322C22semidirect
149. #2311C22semidirect
150. C2×#391C22semidirect
151. C2×#391C22semidirect
152. C2×#391C22semidirect
153. C2×#390C22semidirect
154. C2×#390C22semidirect
155. C2×#390C22semidirect
156. C2×#390C22semidirect
157. C2×#390C22semidirect
158. C2×#390C22semidirect
159. C2×#390C22semidirect
160. C2×#389C22semidirect
161. C2×#389C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
198. C2×#386C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
204. C2×#385C22semidirect
205. C2×#385C22semidirect
206. C2×#381C22semidirect
207. C2×#381C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
216. C2×#379C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
274. C2×#126C23semidirect
275. C2×#126C23semidirect
279. C2×#124C23semidirect
280. C2×#124C23semidirect
281. C2×#124C23semidirect
285. C2×#123D4semidirect
287. C2×#123C23semidirect
288. C2×#123C23semidirect
289. C2×#123C23semidirect
293. C2×C22⋊Q8C23semidirect
294. C2×C22⋊Q8C23semidirect
295. C2×C22⋊Q8C23semidirect
304. C2×#121C23semidirect
305. C2×#121C23semidirect
306. C2×#121C23semidirect
307. C2×#121C23semidirect
320. C2×#120C23semidirect
321. C2×#120C23semidirect
331. C2×C4×D4C23semidirect
332. C2×C4×D4C23semidirect
333. C2×C4×D4C23semidirect
336. C2×#117C23semidirect
337. C2×#117C23semidirect
360. C22×C4⋊C4C23semidirect
430. C22×C22⋊C4C23semidirect
431. C22×C22⋊C4C23semidirect
432. C22×C22⋊C4C23semidirect
433. C22×C22⋊C4C23semidirect
434. C22×C22⋊C4C23semidirect
442. #400C23semidirect
443. #400C23semidirect
444. #399C23semidirect
445. #399C23semidirect
446. #398C23semidirect
447. #397C23semidirect
448. #397C23semidirect
449. #397C23semidirect
450. #397C23semidirect
451. #397C23semidirect
452. #396C23semidirect
453. #396C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #394C23semidirect
469. #393C23semidirect
470. #393C23semidirect
471. #393C23semidirect
472. #393C23semidirect
478. #392C23semidirect
479. #392C23semidirect
480. #392C23semidirect
481. #392C23semidirect
482. #391C23semidirect
483. #391C23semidirect
484. #391C23semidirect
485. #390C23semidirect
486. #390C23semidirect
487. #390C23semidirect
488. #390C23semidirect
489. #390C23semidirect
490. #390C23semidirect
491. #390C23semidirect
492. #389C23semidirect
493. #389C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #388C23semidirect
497. #388C23semidirect
498. #388C23semidirect
499. #388C23semidirect
500. #388C23semidirect
501. #388C23semidirect
502. #388C23semidirect
503. #388C23semidirect
504. #388C23semidirect
505. #388C23semidirect
506. #387C23semidirect
507. #387C23semidirect
508. #387C23semidirect
509. #387C23semidirect
517. #386C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #386C23semidirect
523. #386C23semidirect
524. #386C23semidirect
525. #386C23semidirect
526. #386C23semidirect
527. #386C23semidirect
528. #386C23semidirect
529. #386C23semidirect
530. #386C23semidirect
531. #385C23semidirect
532. #385C23semidirect
533. #385C23semidirect
534. #385C23semidirect
535. #385C23semidirect
536. #385C23semidirect
537. #385C23semidirect
538. #381C23semidirect
539. #381C23semidirect
540. #380C23semidirect
541. #380C23semidirect
542. #380C23semidirect
543. #380C23semidirect
544. #380C23semidirect
545. #380C23semidirect
548. #379C23semidirect
549. C4×C22⋊C4C23semidirect
550. C4×C22⋊C4C23semidirect
551. C4×C22⋊C4C23semidirect
582. C2×#95C23semidirect
794. #123C2×D4semidirect
839. C2×C4⋊C4C2×D4semidirect
840. C2×C4⋊C4C2×D4semidirect
927. C2×C22⋊C4C2×D4semidirect
928. C2×C22⋊C4C2×D4semidirect
1390. C4⋊C4C22×D4semidirect
1391. C4⋊C4C22×D4semidirect
1450. C22⋊C4C22×D4semidirect
1451. C22⋊C4C22×D4semidirect
1841. C2#44001direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5512
C22×#5462
C2×#27142
C2×#27122
C2×#27052
C2×#27032
C2×#27022
C2×#26962
C2×#26712
C2×#26702
#440012
C2×#24822
C2×#24042
C2×#24772
C2×#24142
C2×#24272
C2×#24502
C2×#24442
C2×#24672
C2×#24592
C2×#24722
C2×#24122
C2×#24242
C2×#24182
C2×#24102
C2×#24032
C22×#3942
C2×#23582
C2×D4×C22⋊C42
C2×#23222
C2×#23112