Finite Group Databasebeta

← C2×#39429 #7636611

Subgroups — C2×#39429 #7636611

Order 512.

10462 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#535C211yesmaximal, characteristic, complemented
2C22×#538C211yesmaximal, characteristic, complemented
3C2×#2715C211yesmaximal, characteristic, complemented
4C2×#2712C211yesmaximal, characteristic, complemented
5C2×#2709C211yesmaximal, characteristic, complemented
6C2×#2691C211yesmaximal, characteristic, complemented
7C2×#2688C211yesmaximal, characteristic, complemented
8C2×#2686C211yesmaximal, characteristic, complemented
9C2×#2673C211yesmaximal, characteristic, complemented
10C2×#2671C211yesmaximal, characteristic, complemented
11#39429C2132yesmaximal, direct product factor
12C2×#2847C211yesmaximal, characteristic, complemented
13C2×#2544C211yesmaximal, characteristic, complemented
14C2×#2559C211yesmaximal, characteristic, complemented
15C2×#2557C211yesmaximal, characteristic, complemented
16C2×#2555C211yesmaximal, characteristic, complemented
17C2×#2543C211yesmaximal, characteristic, complemented
18C2×#2521C211yesmaximal, characteristic, complemented
19C2×#2438C211yesmaximal, characteristic, complemented
20C2×#2430C211yesmaximal, characteristic, complemented
21C2×#2428C211yesmaximal, characteristic, complemented
22C2×#2425C211yesmaximal, characteristic, complemented
23C2×#2472C211yesmaximal, characteristic, complemented
24C2×#2424C211yesmaximal, characteristic, complemented
25C2×#2424C211yesmaximal, characteristic, complemented
26C2×#2418C211yesmaximal, characteristic, complemented
27C2×#2622C211yesmaximal, characteristic, complemented
28C2×#2613C211yesmaximal, characteristic, complemented
29C2×#2359C211yesmaximal, characteristic, complemented
30C2×#2339C211yesmaximal, characteristic, complemented
31C2×C4×#120C211yesmaximal, characteristic, complemented
32C22×#386C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C25×C4C2211yescharacteristic
36C2×#538—216no—
37C2×#538C22116yescomplemented
38C2×#535—216no—
39C2×#535C22116yescomplemented
40C22×#127C2211yescharacteristic
41C22×#127C2211yescharacteristic
42C22×#126C2211yescharacteristic, complemented
43C22×#126C2211yescharacteristic, complemented
44C22×#124C2211yescharacteristic
45C22×#124C2211yescharacteristic
46C22×#124C2211yescharacteristic, complemented
47C22×#124C2211yescharacteristic, complemented
48C22×#124C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic
50C22×#123C2211yescharacteristic, complemented
51C22×#123C2211yescharacteristic, complemented
52C22×#123C2211yescharacteristic, complemented
53C22×C22⋊Q8C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic, complemented
61C22×#121C2211yescharacteristic, complemented
62C22×#121C2211yescharacteristic, complemented
63C22×#121C2211yescharacteristic, complemented
64C22×#121C2211yescharacteristic, complemented
65C22×#121C2211yescharacteristic, complemented
66C22×#120C2211yescharacteristic
67C22×#120C2211yescharacteristic
68C22×#120C2211yescharacteristic
69C22×#120C2211yescharacteristic
70C22×#120C2211yescharacteristic
71C22×#120C2211yescharacteristic
72C22×C4×D4C2211yescharacteristic
73C22×C4×D4C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic, complemented
76C22×C4×D4C2211yescharacteristic, complemented
77C22×#117C2211yescharacteristic
78C23×C22⋊C4C2211yescharacteristic
79C23×C22⋊C4C2211yescharacteristic
80C23×C22⋊C4C2211yescharacteristic
81#2847C22116yescomplemented
82#2715C22116yescomplemented
83#2712C22116yescomplemented
84#2709C22116yescomplemented
85#2691C22116yescomplemented
86#2688C22116yescomplemented
87#2686C22116yescomplemented
88#2673C22116yescomplemented
89#2671C22116yescomplemented
90#2622C22116yescomplemented
91#2613C22116yescomplemented
92#2559C22116yescomplemented
93#2557C22116yescomplemented
94#2555C22116yescomplemented
95#2544C22116yescomplemented
96#2543C22116yescomplemented
97#2521C22116yescomplemented
98#2472C22116yescomplemented
99#2438C22116yescomplemented
100#2430C22116yescomplemented
101#2428C22116yescomplemented
102#2425C22116yescomplemented
103#2424C22116yescomplemented
104#2424C22116yescomplemented
105#2418C22116yescomplemented
106C2×#400C2211yescharacteristic, complemented
107C2×#399C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#398C2211yescharacteristic, complemented
110C2×#397C2211yescharacteristic, complemented
111C2×#397C2211yescharacteristic, complemented
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#395C2211yescharacteristic, complemented
119C2×#395C2211yescharacteristic, complemented
120C2×#394C2211yescharacteristic
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
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×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#393C2211yescharacteristic, complemented
138C2×#393C2211yescharacteristic, complemented
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic
141C2×#392C2211yescharacteristic
142C2×#392C2211yescharacteristic
143C2×#392C2211yescharacteristic, complemented
144C2×#392C2211yescharacteristic, complemented
145C2×#392C2211yescharacteristic, complemented
146#2359C22116yescomplemented
147#2339C22116yescomplemented
148C4×#120C22116yescomplemented
149C2×#391C2211yescharacteristic, complemented
150C2×#391C2211yescharacteristic, complemented
151C2×#391C2211yescharacteristic, complemented
152C2×#390C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic, complemented
154C2×#390C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#388C2211yescharacteristic, complemented
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#387C2211yescharacteristic, complemented
166C2×#387C2211yescharacteristic, complemented
167C2×#387C2211yescharacteristic, complemented
168C2×#387C2211yescharacteristic, complemented
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C22116yescomplemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
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×#385C2211yescharacteristic
197C2×#385C2211yescharacteristic
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic
205C2×#381C2211yescharacteristic, complemented
206C2×#380C2211yescharacteristic
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#379C2211yescharacteristic
211C2×#379C2211yescharacteristic
212C2×C4×C4⋊C4C2211yescharacteristic, complemented
213C2×C4×C22⋊C4C2211yescharacteristic
214C2×C4×C22⋊C4C2211yescharacteristic, complemented
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C22×#95C2211yescharacteristic
219C22×#95C2211yescharacteristic
220C22×#95C2211yescharacteristic, complemented
221C26C2311yescharacteristic
222C26C2311yescharacteristic
223C22×#41—28no—
224C22×#41—28no—
225C22×#41—44no—
226C22×#41C2318yes—
227C23×Q8C2311yescharacteristic
228C23×Q8C2311yescharacteristic
229C23×D4—28no—
230C23×D4—28no—
231C23×D4—44no—
232C23×D4C2311yescharacteristic
233C23×D4C2311yescharacteristic
234C23×D4C2318yes—
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C23×D4C2311yescharacteristic
249C23×D4C2311yescharacteristic
250C23×D4C2311yescharacteristic
251C23×D4C2311yescharacteristic
252C23×D4C2311yescharacteristic
253C23×D4C2311yescharacteristic
254C23×D4C2311yescharacteristic
255C24×C4—44no—
256C24×C4—44no—
257C24×C4—44no—
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2311yescharacteristic
270C24×C4C2311yescharacteristic
271C24×C4C2318yes—
272C24×C4C2311yescharacteristic
273#538—2128no—
274#535—2128no—
275C2×#127—28no—
276C2×#127—28no—
277C2×#127C2318yes—
278C2×#127C2318yes—
279C2×#126—28no—
280C2×#126—28no—
281C2×#126C2318yescomplemented
282C2×#126C2318yescomplemented
283C2×#124—28no—
284C2×#124—28no—
285C2×#124—28no—
286C2×#124—28no—
287C2×#124—44no—
288C2×#124C2318yes—
289C2×#124C2318yes—
290C2×#124C2318yescomplemented
291C2×#124C2318yescomplemented
292C2×#124C2318yescomplemented
293C2×#123—28no—
294C2×#123—28no—
295C2×#123—28no—
296C2×#123—44no—
297C2×#123C2318yes—
298C2×#123C2318yescomplemented
299C2×#123C2318yescomplemented
300C2×#123C2318yescomplemented
301C2×C22⋊Q8—28no—
302C2×C22⋊Q8C2318yes—
303C2×#121—28no—
304C2×#121—28no—
305C2×#121—28no—
306C2×#121—28no—
307C2×#121—28no—
308C2×#121—28no—
309C2×#121—28no—
310C2×#121—44no—
311C2×#121—44no—
312C2×#121—44no—
313C2×#121—44no—
314C2×#121—44no—
315C2×#121C2318yes—
316C2×#121C2318yes—
317C2×#121C2318yes—
318C2×#121C2318yes—
319C2×#121C2318yes—
320C2×#121C2318yes—
321C2×#121C2318yescomplemented
322C2×#121C2318yescomplemented
323C2×#121C2318yescomplemented
324C2×#121C2318yescomplemented
325C2×#121C2318yescomplemented
326C2×#121C2318yescomplemented
327C2×#120—28no—
328C2×#120—28no—
329C2×#120—28no—
330C2×#120—28no—
331C2×#120—44no—
332C2×#120D4116yescomplemented
333C2×#120C2318yes—
334C2×#120C2318yes—
335C2×#120C2318yes—
336C2×#120C2318yes—
337C2×#120C2318yes—
338C2×#120C2318yes—
339C2×C4×D4—28no—
340C2×C4×D4—28no—
341C2×C4×D4—44no—
342C2×C4×D4—44no—
343C2×C4×D4—44no—
344C2×C4×D4C2318yes—
345C2×C4×D4C2318yes—
346C2×C4×D4C2318yes—
347C2×C4×D4C2318yescomplemented
348C2×C4×D4C2318yescomplemented
349C2×#117—28no—
350C2×#117C2318yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2311yescharacteristic
353C22×C4⋊C4C2311yescharacteristic
354C22×C4⋊C4C2311yescharacteristic
355C22×C4⋊C4C2311yescharacteristic
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2311yescharacteristic
358C22×C4⋊C4C2311yescharacteristic
359C22×C4⋊C4C2311yescharacteristic
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2311yescharacteristic
369C22×C4⋊C4C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C22⋊C4—28no—
372C22×C22⋊C4—44no—
373C22×C22⋊C4—44no—
374C22×C22⋊C4C2318yes—
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2311yescharacteristic
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2311yescharacteristic
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C22⋊C4C2311yescharacteristic
387C22×C22⋊C4C2311yescharacteristic
388C22×C22⋊C4C2311yescharacteristic
389C22×C22⋊C4C2311yescharacteristic
390C22×C22⋊C4C2311yescharacteristic
391C22×C22⋊C4C2311yescharacteristic
392C22×C22⋊C4C2311yescharacteristic
393C22×C22⋊C4C2311yescharacteristic
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2311yescharacteristic
397C22×C22⋊C4C2311yescharacteristic
398C22×C22⋊C4C2311yescharacteristic
399C22×C22⋊C4C2311yescharacteristic
400C22×C22⋊C4C2311yescharacteristic
401C22×C22⋊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⋊C4C2318yes—
429C22×C22⋊C4C2318yes—
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440#400C2318yescomplemented
441#399C2318yescomplemented
442#398C2318yescomplemented
443#398C2318yescomplemented
444#397C2318yescomplemented
445#397C2318yescomplemented
446#397C2318yescomplemented
447#397C2318yescomplemented
448#397C2318yescomplemented
449#397C2318yescomplemented
450#396C2318yescomplemented
451#396C2318yescomplemented
452#395C2318yescomplemented
453#395C2318yescomplemented
454#394C2318yes—
455#394C2318yes—
456#394C2318yes—
457#394C2318yes—
458#394C2318yescomplemented
459#394C2318yescomplemented
460#394C2318yescomplemented
461#394C2318yescomplemented
462#394C2318yescomplemented
463#394C2318yescomplemented
464#394C2318yescomplemented
465#394C2318yescomplemented
466#394C2318yescomplemented
467#394C2318yescomplemented
468#394C2318yescomplemented
469#394C2318yescomplemented
470#394C2318yescomplemented
471#393C2318yescomplemented
472#393C2318yescomplemented
473#392C2318yes—
474#392C2318yes—
475#392C2318yes—
476#392C2318yes—
477#392C2318yescomplemented
478#392C2318yescomplemented
479#392C2318yescomplemented
480#391C2318yescomplemented
481#391C2318yescomplemented
482#391C2318yescomplemented
483#390C2318yescomplemented
484#390C2318yescomplemented
485#390C2318yescomplemented
486#389C2318yescomplemented
487#389C2318yescomplemented
488#388C2318yescomplemented
489#388C2318yescomplemented
490#388C2318yescomplemented
491#388C2318yescomplemented
492#388C2318yescomplemented
493#388C2318yescomplemented
494#388C2318yescomplemented
495#388C2318yescomplemented
496#387C2318yescomplemented
497#387C2318yescomplemented
498#387C2318yescomplemented
499#387C2318yescomplemented
500#386C2318yes—
501#386C2318yes—
502#386C2318yes—
503#386C2318yes—
504#386C2318yes—
505#386C2318yes—
506#386C2318yes—
507#386C2318yes—
508#386C2318yes—
509#386C2318yes—
510#386C2318yes—
511#386C2318yes—
512#386C2318yes—
513#386C2318yescomplemented
514#386C2318yescomplemented
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#385C2318yescomplemented
530#385C2318yescomplemented
531#385C2318yescomplemented
532#385C2318yescomplemented
533#385C2318yescomplemented
534#381C2318yes—
535#381C2318yescomplemented
536#380C2318yes—
537#380C2318yescomplemented
538#380C2318yescomplemented
539#380C2318yescomplemented
540#379C2318yes—
541#379C2318yes—
542C4×C4⋊C4C2318yescomplemented
543C4×C22⋊C4C2318yes—
544C4×C22⋊C4C2318yescomplemented
545C4×C22⋊C4C2318yescomplemented
546C4×C22⋊C4C2318yescomplemented
547C4×C22⋊C4C2318yescomplemented
548C2×#95C2318yes—
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2318yes—
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—42no—
589C25—42no—
590C25—42no—
591C25—42no—
592C25—42no—
593C25—42no—
594C25—42no—
595C25—42no—
596C25C2×D418yes—
597C25C2411yescharacteristic
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2411yescharacteristic
601C25C2411yescharacteristic
602C25C2411yescharacteristic
603C25C2411yescharacteristic
604C25C2411yescharacteristic
605C25C2414yes—
606C25C2414yes—
607C2×#41—232no—
608C2×#41—232no—
609C2×#41—416no—
610C2×#41—464no—
611C22×Q8—24no—
612C22×Q8—24no—
613C22×Q8—24no—
614C22×Q8—42no—
615C22×Q8—42no—
616C22×Q8—42no—
617C22×Q8C2414yes—
618C22×Q8C2414yes—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—24no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—232no—
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—232no—
647C22×D4—24no—
648C22×D4—24no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—416no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—464no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—42no—
665C22×D4—42no—
666C22×D4—42no—
667C22×D4—42no—
668C22×D4—42no—
669C22×D4—42no—
670C22×D4—42no—
671C22×D4—42no—
672C22×D4—42no—
673C22×D4—42no—
674C22×D4—42no—
675C22×D4—42no—
676C22×D4—42no—
677C22×D4—42no—
678C22×D4—42no—
679C22×D4—42no—
680C22×D4—42no—
681C22×D4—42no—
682C22×D4—42no—
683C22×D4—42no—
684C22×D4—42no—
685C22×D4—42no—
686C22×D4C2×D418yes—
687C22×D4C2×D418yes—
688C22×D4C2×D418yes—
689C22×D4C2414yes—
690C22×D4C2414yes—
691C22×D4C2414yes—
692C22×D4C2414yes—
693C22×D4C2414yes—
694C22×D4C2414yes—
695C22×D4C2414yes—
696C22×D4C2414yes—
697C22×D4C2414yes—
698C22×D4C2414yes—
699C22×D4C2414yes—
700C22×D4C2414yes—
701C22×D4C2414yes—
702C22×D4C2414yes—
703C22×D4C2414yes—
704C22×D4C2414yes—
705C22×D4C2414yes—
706C22×D4C2414yes—
707C22×D4C2414yes—
708C22×D4C2414yes—
709C22×D4C2414yes—
710C22×D4C2414yes—
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—24no—
729C23×C4—24no—
730C23×C4—416no—
731C23×C4—416no—
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—416no—
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×C4#4118yes—
757C23×C4C2411yescharacteristic
758C23×C4C2411yescharacteristic
759C23×C4C2411yescharacteristic
760C23×C4C2411yescharacteristic
761C23×C4C2411yescharacteristic
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2411yescharacteristic
769C23×C4C2411yescharacteristic
770C23×C4C2411yescharacteristic
771C23×C4C2411yescharacteristic
772C23×C4C2411yescharacteristic
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778C23×C4C2411yescharacteristic
779C23×C4C2411yescharacteristic
780C23×C4C2411yescharacteristic
781C23×C4C2414yes—
782C23×C4C2411yescharacteristic
783C23×C4C2411yescharacteristic
784C23×C4C2411yescharacteristic
785C23×C4C2411yescharacteristic
786C23×C4C2414yes—
787C23×C4C2414yes—
788C23×C4C2414yes—
789C23×C4C2414yes—
790C23×C4C2414yes—
791C23×C4C2414yes—
792C23×C4C2414yes—
793C23×C4C2414yes—
794#127—232no—
795#127—232no—
796#126—232no—
797#126—232no—
798#124—232no—
799#124—232no—
800#124—232no—
801#124—232no—
802#124—416no—
803#123—232no—
804#123—232no—
805#123—232no—
806#123—416no—
807C22⋊Q8—232no—
808#121—232no—
809#121—232no—
810#121—232no—
811#121—232no—
812#121—232no—
813#121—232no—
814#121—232no—
815#121—416no—
816#121—416no—
817#121—416no—
818#121—416no—
819#121—416no—
820#120—232no—
821#120—232no—
822#120—232no—
823#120—232no—
824#120—416no—
825#120C2×D4164yescomplemented
826C4×D4—232no—
827C4×D4—232no—
828C4×D4—416no—
829C4×D4—416no—
830C4×D4—416no—
831#117—232no—
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—42no—
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⋊C4C2414yes—
853C2×C4⋊C4C2414yes—
854C2×C4⋊C4C2414yes—
855C2×C4⋊C4C2414yes—
856C2×C4⋊C4C2414yes—
857C2×C4⋊C4C2414yes—
858C2×C4⋊C4C2414yes—
859C2×C4⋊C4C2414yes—
860C2×C4⋊C4C2414yes—
861C2×C4⋊C4C2414yes—
862C2×C4⋊C4C2414yes—
863C2×C4⋊C4C2414yes—
864C2×C4⋊C4C2414yes—
865C2×C4⋊C4C2414yes—
866C2×C4⋊C4C2414yes—
867C2×C4⋊C4C2414yes—
868C2×C4⋊C4C2414yes—
869C2×C4⋊C4C2414yes—
870C2×C4⋊C4C2414yes—
871C2×C4⋊C4C2414yes—
872C2×C22⋊C4—24no—
873C2×C22⋊C4—24no—
874C2×C22⋊C4—24no—
875C2×C22⋊C4—24no—
876C2×C22⋊C4—232no—
877C2×C22⋊C4—24no—
878C2×C22⋊C4—24no—
879C2×C22⋊C4—24no—
880C2×C22⋊C4—24no—
881C2×C22⋊C4—24no—
882C2×C22⋊C4—24no—
883C2×C22⋊C4—24no—
884C2×C22⋊C4—24no—
885C2×C22⋊C4—24no—
886C2×C22⋊C4—24no—
887C2×C22⋊C4—24no—
888C2×C22⋊C4—24no—
889C2×C22⋊C4—24no—
890C2×C22⋊C4—24no—
891C2×C22⋊C4—24no—
892C2×C22⋊C4—24no—
893C2×C22⋊C4—24no—
894C2×C22⋊C4—24no—
895C2×C22⋊C4—24no—
896C2×C22⋊C4—24no—
897C2×C22⋊C4—24no—
898C2×C22⋊C4—24no—
899C2×C22⋊C4—24no—
900C2×C22⋊C4—24no—
901C2×C22⋊C4—24no—
902C2×C22⋊C4—416no—
903C2×C22⋊C4—416no—
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⋊C4—42no—
927C2×C22⋊C4—42no—
928C2×C22⋊C4C2×D418yes—
929C2×C22⋊C4C2×D418yes—
930C2×C22⋊C4C2×D418yes—
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×C42—24no—
988C2×C42—24no—
989C2×C42—24no—
990C2×C42—24no—
991C2×C42—24no—
992C2×C42—42no—
993C2×C42—42no—
994C2×C42C2414yes—
995C2×C42C2414yes—
996C2×C42C2414yes—
997C2×C42C2414yes—
998C2×C42C2414yes—
999C2×C42C2414yes—
1000C2×C42C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
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—232no—
1038C24—22no—
1039C24—28no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
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—22no—
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—22no—
1078C24—22no—
1079C24—22no—
1080C24—22no—
1081C24—22no—
1082C24—22no—
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—28no—
1088C24—28no—
1089C24—44no—
1090C24—44no—
1091C24—416no—
1092C24—416no—
1093C24—44no—
1094C24—44no—
1095C24—44no—
1096C24—44no—
1097C24—44no—
1098C24—44no—
1099C24—416no—
1100C24—416no—
1101C24—416no—
1102C24—416no—
1103C24—416no—
1104C24—416no—
1105C24—416no—
1106C24—88no—
1107C24—88no—
1108C24—88no—
1109C24—88no—
1110C24C22×D414yes—
1111C24C22×D414yes—
1112C24C22×D414yes—
1113C24C22×D414yes—
1114C24C22×D4116yes—
1115C24C2×#4114yes—
1116C24H(5,𝔽2)14yes—
1117C24C2512yes—
1118C24C2512yes—
1119C24C2512yes—
1120C24C2512yes—
1121C24C2512yes—
1122C24C2512yes—
1123C24C2512yes—
1124C24C2512yes—
1125C24C2511yescharacteristic
1126#41—4128no—
1127C2×Q8—28no—
1128C2×Q8—28no—
1129C2×Q8—28no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—44no—
1133C2×Q8—416no—
1134C2×Q8—88no—
1135C2×D4—232no—
1136C2×D4—28no—
1137C2×D4—28no—
1138C2×D4—28no—
1139C2×D4—28no—
1140C2×D4—28no—
1141C2×D4—28no—
1142C2×D4—28no—
1143C2×D4—28no—
1144C2×D4—28no—
1145C2×D4—28no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—28no—
1149C2×D4—28no—
1150C2×D4—28no—
1151C2×D4—28no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—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—44no—
1165C2×D4—44no—
1166C2×D4—44no—
1167C2×D4—44no—
1168C2×D4—44no—
1169C2×D4—44no—
1170C2×D4—416no—
1171C2×D4—416no—
1172C2×D4—44no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—416no—
1176C2×D4—416no—
1177C2×D4—416no—
1178C2×D4—416no—
1179C2×D4—4128no—
1180C2×D4—416no—
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—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—416no—
1208C2×D4—416no—
1209C2×D4—88no—
1210C2×D4—88no—
1211C2×D4—88no—
1212C2×D4—88no—
1213C2×D4—88no—
1214C2×D4—88no—
1215C2×D4—88no—
1216C2×D4—88no—
1217C2×D4—88no—
1218C2×D4—88no—
1219C2×D4—88no—
1220C2×D4—88no—
1221C2×D4C22×D4116yes—
1222C2×D4C22×D4116yes—
1223C2×D4C22×D4116yes—
1224C22×C4—232no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—28no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—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—28no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—28no—
1279C22×C4—28no—
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—28no—
1293C22×C4—28no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—28no—
1297C22×C4—28no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—416no—
1319C22×C4—416no—
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—416no—
1331C22×C4—416no—
1332C22×C4—416no—
1333C22×C4—416no—
1334C22×C4—416no—
1335C22×C4—4128no—
1336C22×C4—416no—
1337C22×C4—88no—
1338C22×C4—88no—
1339C22×C4—88no—
1340C22×C4—88no—
1341C22×C4—88no—
1342C22×C4C22×D414yes—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C2×#4114yes—
1346C22×C4C2×#4114yes—
1347C22×C4C2×#41116yes—
1348C22×C4H(5,𝔽2)14yes—
1349C22×C4H(5,𝔽2)14yes—
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—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C4⋊C4—28no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—28no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—28no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
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⋊C4C22×D4116yes—
1447C22⋊C4C22×D4116yes—
1448C22⋊C4C22×D4116yes—
1449C42—28no—
1450C42—28no—
1451C42—28no—
1452C42—28no—
1453C42—28no—
1454C42—44no—
1455C42—44no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—28no—
1461C23—28no—
1462C23—28no—
1463C23—28no—
1464C23—28no—
1465C23—28no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—28no—
1485C23—232no—
1486C23—28no—
1487C23—28no—
1488C23—28no—
1489C23—28no—
1490C23—28no—
1491C23—28no—
1492C23—28no—
1493C23—28no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—416no—
1523C23—416no—
1524C23—416no—
1525C23—4128no—
1526C23—416no—
1527C23—416no—
1528C23—416no—
1529C23—416no—
1530C23—416no—
1531C23—44no—
1532C23—44no—
1533C23—44no—
1534C23—44no—
1535C23—44no—
1536C23—44no—
1537C23—44no—
1538C23—44no—
1539C23—44no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—44no—
1547C23—44no—
1548C23—416no—
1549C23—44no—
1550C23—44no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
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—88no—
1573C23—88no—
1574C23—88no—
1575C23—88no—
1576C23—864no—
1577C23#546116yes—
1578C23C23×D414yes—
1579C23C23×D414yes—
1580C23C23×D414yes—
1581C23C23×D414yes—
1582C23C23×D412yes—
1583C23C22×#4114yes—
1584C23C22×#4112yes—
1585C23C2×H(5,𝔽2)14yes—
1586C23C2×H(5,𝔽2)12yes—
1587C23C2×H(5,𝔽2)12yes—
1588C23C2×H(5,𝔽2)12yes—
1589C23#58512yes—
1590C23#58512yes—
1591C23C2611yescharacteristic
1592Q8—416no—
1593Q8—88no—
1594D4—232no—
1595D4—416no—
1596D4—416no—
1597D4—416no—
1598D4—416no—
1599D4—416no—
1600D4—416no—
1601D4—416no—
1602D4—416no—
1603D4—416no—
1604D4—88no—
1605D4—88no—
1606D4—88no—
1607D4—88no—
1608D4—88no—
1609D4—88no—
1610D4—88no—
1611D4—88no—
1612D4—88no—
1613D4—88no—
1614D4—88no—
1615D4—88no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—28no—
1631C2×C4—28no—
1632C2×C4—232no—
1633C2×C4—28no—
1634C2×C4—28no—
1635C2×C4—28no—
1636C2×C4—28no—
1637C2×C4—28no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—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—416no—
1687C2×C4—416no—
1688C2×C4—416no—
1689C2×C4—416no—
1690C2×C4—416no—
1691C2×C4—416no—
1692C2×C4—416no—
1693C2×C4—416no—
1694C2×C4—44no—
1695C2×C4—44no—
1696C2×C4—44no—
1697C2×C4—44no—
1698C2×C4—44no—
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—88no—
1711C2×C4—88no—
1712C2×C4—88no—
1713C2×C4—88no—
1714C2×C4—88no—
1715C2×C4C23×D414yes—
1716C2×C4C23×D414yes—
1717C2×C4C23×D414yes—
1718C2×C4C22×#4114yes—
1719C2×C4C22×#4114yes—
1720C2×C4C2×H(5,𝔽2)14yes—
1721C2×C4C2×H(5,𝔽2)14yes—
1722C22—232no—
1723C22—24no—
1724C22—24no—
1725C22—24no—
1726C22—24no—
1727C22—24no—
1728C22—24no—
1729C22—24no—
1730C22—24no—
1731C22—24no—
1732C22—24no—
1733C22—24no—
1734C22—24no—
1735C22—24no—
1736C22—24no—
1737C22—24no—
1738C22—464no—
1739C22—416no—
1740C22—416no—
1741C22—416no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—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—832no—
1783C22—88no—
1784C22—88no—
1785C22—88no—
1786C22—88no—
1787C22#346014yes—
1788C22C2×#54618yes—
1789C22C2×#54614yes—
1790C22#349614yes—
1791C22#349614yes—
1792C22#350614yes—
1793C22#353214yes—
1794C22#353314yes—
1795C22C24×D411yescharacteristic
1796C22C23×#4111yescharacteristic
1797C22C22×H(5,𝔽2)11yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C4—24no—
1803C4—24no—
1804C4—24no—
1805C4—24no—
1806C4—24no—
1807C4—24no—
1808C4—24no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C2—28no—
1826C2—44no—
1827C2—44no—
1828C2—44no—
1829C2—82no—
1830C2—82no—
1831C2—82no—
1832C2—82no—
1833C2#3942918yesdirect product factor
1834C2C2×#346011yescharacteristic
1835C2C22×#54611yescharacteristic
1836C2C2×#353211yescharacteristic
1837C2C2×#353311yescharacteristic
1838C2C2×#349611yescharacteristic
1839C2C2×#349611yescharacteristic
1840C2C2×#350611yescharacteristic
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×#535C2semidirect
2. C22×#538C2semidirect
3. C2×#2715C2semidirect
4. C2×#2712C2semidirect
5. C2×#2709C2semidirect
6. C2×#2691C2semidirect
7. C2×#2688C2semidirect
8. C2×#2686C2semidirect
9. C2×#2673C2semidirect
10. C2×#2671C2semidirect
11. #39429C2direct (N × H)
12. C2×#2847C2semidirect
13. C2×#2544C2semidirect
14. C2×#2559C2semidirect
15. C2×#2557C2semidirect
16. C2×#2555C2semidirect
17. C2×#2543C2semidirect
18. C2×#2521C2semidirect
19. C2×#2438C2semidirect
20. C2×#2430C2semidirect
21. C2×#2428C2semidirect
22. C2×#2425C2semidirect
23. C2×#2472C2semidirect
24. C2×#2424C2semidirect
25. C2×#2424C2semidirect
26. C2×#2418C2semidirect
27. C2×#2622C2semidirect
28. C2×#2613C2semidirect
29. C2×#2359C2semidirect
30. C2×#2339C2semidirect
31. C2×C4×#120C2semidirect
32. C22×#386C2semidirect
37. C2×#538C22semidirect
39. C2×#535C22semidirect
42. C22×#126C22semidirect
43. C22×#126C22semidirect
46. C22×#124C22semidirect
47. C22×#124C22semidirect
48. C22×#124C22semidirect
50. C22×#123C22semidirect
51. C22×#123C22semidirect
52. C22×#123C22semidirect
60. C22×#121C22semidirect
61. C22×#121C22semidirect
62. C22×#121C22semidirect
63. C22×#121C22semidirect
64. C22×#121C22semidirect
65. C22×#121C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
81. #2847C22semidirect
82. #2715C22semidirect
83. #2712C22semidirect
84. #2709C22semidirect
85. #2691C22semidirect
86. #2688C22semidirect
87. #2686C22semidirect
88. #2673C22semidirect
89. #2671C22semidirect
90. #2622C22semidirect
91. #2613C22semidirect
92. #2559C22semidirect
93. #2557C22semidirect
94. #2555C22semidirect
95. #2544C22semidirect
96. #2543C22semidirect
97. #2521C22semidirect
98. #2472C22semidirect
99. #2438C22semidirect
100. #2430C22semidirect
101. #2428C22semidirect
102. #2425C22semidirect
103. #2424C22semidirect
104. #2424C22semidirect
105. #2418C22semidirect
106. C2×#400C22semidirect
107. C2×#399C22semidirect
108. C2×#398C22semidirect
109. C2×#398C22semidirect
110. C2×#397C22semidirect
111. C2×#397C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#395C22semidirect
119. C2×#395C22semidirect
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×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#393C22semidirect
138. C2×#393C22semidirect
143. C2×#392C22semidirect
144. C2×#392C22semidirect
145. C2×#392C22semidirect
146. #2359C22semidirect
147. #2339C22semidirect
148. C4×#120C22semidirect
149. C2×#391C22semidirect
150. C2×#391C22semidirect
151. C2×#391C22semidirect
152. C2×#390C22semidirect
153. C2×#390C22semidirect
154. C2×#390C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#388C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#387C22semidirect
166. C2×#387C22semidirect
167. C2×#387C22semidirect
168. C2×#387C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
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
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
205. C2×#381C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
212. C2×C4×C4⋊C4C22semidirect
214. C2×C4×C22⋊C4C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
220. C22×#95C22semidirect
281. C2×#126C23semidirect
282. C2×#126C23semidirect
290. C2×#124C23semidirect
291. C2×#124C23semidirect
292. C2×#124C23semidirect
298. C2×#123C23semidirect
299. C2×#123C23semidirect
300. C2×#123C23semidirect
321. C2×#121C23semidirect
322. C2×#121C23semidirect
323. C2×#121C23semidirect
324. C2×#121C23semidirect
325. C2×#121C23semidirect
326. C2×#121C23semidirect
332. C2×#120D4semidirect
347. C2×C4×D4C23semidirect
348. C2×C4×D4C23semidirect
440. #400C23semidirect
441. #399C23semidirect
442. #398C23semidirect
443. #398C23semidirect
444. #397C23semidirect
445. #397C23semidirect
446. #397C23semidirect
447. #397C23semidirect
448. #397C23semidirect
449. #397C23semidirect
450. #396C23semidirect
451. #396C23semidirect
452. #395C23semidirect
453. #395C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #394C23semidirect
461. #394C23semidirect
462. #394C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #394C23semidirect
469. #394C23semidirect
470. #394C23semidirect
471. #393C23semidirect
472. #393C23semidirect
477. #392C23semidirect
478. #392C23semidirect
479. #392C23semidirect
480. #391C23semidirect
481. #391C23semidirect
482. #391C23semidirect
483. #390C23semidirect
484. #390C23semidirect
485. #390C23semidirect
486. #389C23semidirect
487. #389C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
513. #386C23semidirect
514. #386C23semidirect
515. #386C23semidirect
516. #386C23semidirect
517. #386C23semidirect
518. #386C23semidirect
519. #386C23semidirect
520. #386C23semidirect
521. #386C23semidirect
522. #386C23semidirect
523. #386C23semidirect
524. #386C23semidirect
525. #386C23semidirect
529. #385C23semidirect
530. #385C23semidirect
531. #385C23semidirect
532. #385C23semidirect
533. #385C23semidirect
535. #381C23semidirect
537. #380C23semidirect
538. #380C23semidirect
539. #380C23semidirect
542. C4×C4⋊C4C23semidirect
544. C4×C22⋊C4C23semidirect
545. C4×C22⋊C4C23semidirect
546. C4×C22⋊C4C23semidirect
547. C4×C22⋊C4C23semidirect
582. C2×#95C23semidirect
825. #120C2×D4semidirect
1833. C2#39429direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#5352
C22×#5382
C2×#27152
C2×#27122
C2×#27092
C2×#26912
C2×#26882
C2×#26862
C2×#26732
C2×#26712
#394292
C2×#28472
C2×#25442
C2×#25592
C2×#25572
C2×#25552
C2×#25432
C2×#25212
C2×#24382
C2×#24302
C2×#24282
C2×#24252
C2×#24722
C2×#24242
C2×#24182
C2×#26222
C2×#26132
C2×#23592
C2×#23392
C2×C4×#1202
C22×#3862