Finite Group Databasebeta

← C2×#38077 #7635429

Subgroups — C2×#38077 #7635429

Order 512.

10440 conjugacy classes of subgroups.

The subgroup lattice has 1792 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×#2715C211yesmaximal, characteristic, complemented
4C2×#2712C211yesmaximal, characteristic, complemented
5C2×#2695C211yesmaximal, characteristic, complemented
6C2×#2693C211yesmaximal, characteristic, complemented
7C2×#2691C211yesmaximal, characteristic, complemented
8C2×#2691C211yesmaximal, characteristic, complemented
9C2×#2676C211yesmaximal, characteristic, complemented
10C2×#2671C211yesmaximal, characteristic, complemented
11#38077C2132yesmaximal, direct product factor
12C2×#2847C211yesmaximal, characteristic, complemented
13C2×#2498C211yesmaximal, characteristic, complemented
14C2×#2438C211yesmaximal, characteristic, complemented
15C2×#2430C211yesmaximal, characteristic, complemented
16C2×#2411C211yesmaximal, characteristic, complemented
17C2×#2417C211yesmaximal, characteristic, complemented
18C2×#2416C211yesmaximal, characteristic, complemented
19C2×#2450C211yesmaximal, characteristic, complemented
20C2×#2450C211yesmaximal, characteristic, complemented
21C2×#2425C211yesmaximal, characteristic, complemented
22C2×#2412C211yesmaximal, characteristic, complemented
23C2×#2412C211yesmaximal, characteristic, complemented
24C2×#2424C211yesmaximal, characteristic, complemented
25C2×#2437C211yesmaximal, characteristic, complemented
26C2×#2410C211yesmaximal, characteristic, complemented
27C2×#2639C211yesmaximal, characteristic, complemented
28C2×#2618C211yesmaximal, characteristic, complemented
29C2×#2325C211yesmaximal, characteristic, complemented
30C2×#2311C211yesmaximal, characteristic, complemented
31C22×#386C211yesmaximal, characteristic, complemented
32C22×#385C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C25×C4C2211yescharacteristic
36C2×#551—216no—
37C2×#551C22116yescomplemented
38C2×#546—216no—
39C2×#546C22116yescomplemented
40C22×#126C2211yescharacteristic, complemented
41C22×#126C2211yescharacteristic, complemented
42C22×#124C2211yescharacteristic
43C22×#124C2211yescharacteristic, complemented
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic
47C22×#123C2211yescharacteristic
48C22×#123C2211yescharacteristic, complemented
49C22×#123C2211yescharacteristic, complemented
50C22×C22⋊Q8C2211yescharacteristic
51C22×C22⋊Q8C2211yescharacteristic
52C22×C22⋊Q8C2211yescharacteristic, complemented
53C22×C22⋊Q8C2211yescharacteristic, complemented
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic
59C22×#121C2211yescharacteristic
60C22×#121C2211yescharacteristic, complemented
61C22×#121C2211yescharacteristic, complemented
62C22×#121C2211yescharacteristic, complemented
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×#120C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic, complemented
71C22×#117C2211yescharacteristic
72C22×#117C2211yescharacteristic, complemented
73C23×C4⋊C4C2211yescharacteristic, complemented
74C23×C4⋊C4C2211yescharacteristic, complemented
75C23×C22⋊C4C2211yescharacteristic
76C23×C22⋊C4C2211yescharacteristic
77C23×C22⋊C4C2211yescharacteristic
78C23×C22⋊C4C2211yescharacteristic
79C23×C22⋊C4C2211yescharacteristic
80C23×C22⋊C4C2211yescharacteristic
81#2847C22116yescomplemented
82#2715C22116yescomplemented
83#2712C22116yescomplemented
84#2695C22116yescomplemented
85#2693C22116yescomplemented
86#2691C22116yescomplemented
87#2691C22116yescomplemented
88#2676C22116yescomplemented
89#2671C22116yescomplemented
90#2639C22116yescomplemented
91#2618C22116yescomplemented
92#2498C22116yescomplemented
93#2450C22116yescomplemented
94#2450C22116yescomplemented
95#2438C22116yescomplemented
96#2437C22116yescomplemented
97#2430C22116yescomplemented
98#2425C22116yescomplemented
99#2424C22116yescomplemented
100#2417C22116yescomplemented
101#2416C22116yescomplemented
102#2412C22116yescomplemented
103#2412C22116yescomplemented
104#2411C22116yescomplemented
105#2410C22116yescomplemented
106C2×#400C2211yescharacteristic, complemented
107C2×#400C2211yescharacteristic, complemented
108C2×#400C2211yescharacteristic, complemented
109C2×#399C2211yescharacteristic, complemented
110C2×#398C2211yescharacteristic, complemented
111C2×#398C2211yescharacteristic, complemented
112C2×#398C2211yescharacteristic, complemented
113C2×#398C2211yescharacteristic, complemented
114C2×#398C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#397C2211yescharacteristic, complemented
117C2×#397C2211yescharacteristic, complemented
118C2×#397C2211yescharacteristic, complemented
119C2×#397C2211yescharacteristic, complemented
120C2×#396C2211yescharacteristic, complemented
121C2×#396C2211yescharacteristic, complemented
122C2×#396C2211yescharacteristic, complemented
123C2×#396C2211yescharacteristic, complemented
124C2×#396C2211yescharacteristic, complemented
125C2×#396C2211yescharacteristic, complemented
126C2×#396C2211yescharacteristic, complemented
127C2×#396C2211yescharacteristic, complemented
128C2×#395C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic
130C2×#394C2211yescharacteristic
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#394C2211yescharacteristic, complemented
135C2×#394C2211yescharacteristic, complemented
136C2×#394C2211yescharacteristic, complemented
137C2×#394C2211yescharacteristic, complemented
138C2×#394C2211yescharacteristic, complemented
139C2×#394C2211yescharacteristic, complemented
140C2×#393C2211yescharacteristic, complemented
141C2×#393C2211yescharacteristic, complemented
142C2×#393C2211yescharacteristic, complemented
143C2×#392C2211yescharacteristic
144C2×#392C2211yescharacteristic
145C2×#392C2211yescharacteristic, complemented
146#2325C22116yescomplemented
147#2311C22116yescomplemented
148C2×#391C2211yescharacteristic, complemented
149C2×#391C2211yescharacteristic, complemented
150C2×#391C2211yescharacteristic, complemented
151C2×#390C2211yescharacteristic, complemented
152C2×#390C2211yescharacteristic, complemented
153C2×#390C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#388C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic, complemented
158C2×#388C2211yescharacteristic, complemented
159C2×#388C2211yescharacteristic, complemented
160C2×#387C2211yescharacteristic, complemented
161C2×#387C2211yescharacteristic, complemented
162C2×#387C2211yescharacteristic, complemented
163C2×#387C2211yescharacteristic, complemented
164C2×#386C2211yescharacteristic
165C2×#386C2211yescharacteristic
166C2×#386C2211yescharacteristic
167C2×#386C2211yescharacteristic
168C2×#386C2211yescharacteristic
169C2×#386C2211yescharacteristic
170C2×#386C2211yescharacteristic
171C2×#386C2211yescharacteristic
172C2×#386C2211yescharacteristic
173C2×#386C2211yescharacteristic
174C2×#386C2211yescharacteristic
175C2×#386C2211yescharacteristic
176C2×#386C2211yescharacteristic
177C2×#386C2211yescharacteristic
178C2×#386C22116yescomplemented
179C2×#386C2211yescharacteristic, complemented
180C2×#386C2211yescharacteristic, complemented
181C2×#386C2211yescharacteristic, complemented
182C2×#386C2211yescharacteristic, complemented
183C2×#386C2211yescharacteristic, complemented
184C2×#386C2211yescharacteristic, complemented
185C2×#386C2211yescharacteristic, complemented
186C2×#386C2211yescharacteristic, complemented
187C2×#386C2211yescharacteristic, complemented
188C2×#386C2211yescharacteristic, complemented
189C2×#385C2211yescharacteristic
190C2×#385C2211yescharacteristic
191C2×#385C2211yescharacteristic
192C2×#385C2211yescharacteristic
193C2×#385C2211yescharacteristic
194C2×#385C2211yescharacteristic
195C2×#385C2211yescharacteristic, complemented
196C2×#385C2211yescharacteristic, complemented
197C2×#385C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic, complemented
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C22116yescomplemented
204C2×#381C2211yescharacteristic
205C2×#380C2211yescharacteristic
206C2×#380C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#380C2211yescharacteristic, complemented
213C2×#380C2211yescharacteristic, complemented
214C2×#380C2211yescharacteristic, complemented
215C2×#380C2211yescharacteristic, complemented
216C2×#379C2211yescharacteristic
217C22×#95C2211yescharacteristic
218C22×#95C2211yescharacteristic
219C22×#95C2211yescharacteristic, complemented
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×D4C2311yescharacteristic
235C23×D4C2311yescharacteristic
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2318yes—
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C24×C4—44no—
249C24×C4—44no—
250C24×C4—44no—
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261C24×C4C2311yescharacteristic
262C24×C4C2311yescharacteristic
263C24×C4C2311yescharacteristic
264C24×C4C2311yescharacteristic
265C24×C4C2311yescharacteristic
266C24×C4C2318yes—
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269#551—2128no—
270#546—2128no—
271C2×#126—28no—
272C2×#126—28no—
273C2×#126C2318yescomplemented
274C2×#126C2318yescomplemented
275C2×#124—28no—
276C2×#124—28no—
277C2×#124C2318yes—
278C2×#124C2318yescomplemented
279C2×#123—28no—
280C2×#123—28no—
281C2×#123—28no—
282C2×#123—28no—
283C2×#123—28no—
284C2×#123—44no—
285C2×#123C2318yes—
286C2×#123C2318yes—
287C2×#123C2318yes—
288C2×#123C2318yes—
289C2×#123C2318yescomplemented
290C2×#123C2318yescomplemented
291C2×C22⋊Q8—28no—
292C2×C22⋊Q8—28no—
293C2×C22⋊Q8—28no—
294C2×C22⋊Q8—44no—
295C2×C22⋊Q8C2318yes—
296C2×C22⋊Q8C2318yes—
297C2×C22⋊Q8C2318yescomplemented
298C2×C22⋊Q8C2318yescomplemented
299C2×#121—28no—
300C2×#121—28no—
301C2×#121—28no—
302C2×#121—28no—
303C2×#121—44no—
304C2×#121—44no—
305C2×#121—44no—
306C2×#121—44no—
307C2×#121—44no—
308C2×#121C2318yes—
309C2×#121C2318yes—
310C2×#121C2318yes—
311C2×#121C2318yes—
312C2×#121C2318yes—
313C2×#121C2318yes—
314C2×#121C2318yescomplemented
315C2×#121C2318yescomplemented
316C2×#121C2318yescomplemented
317C2×#120—28no—
318C2×#120—28no—
319C2×#120—28no—
320C2×#120—44no—
321C2×#120C2318yes—
322C2×#120C2318yes—
323C2×#120C2318yes—
324C2×#120C2318yes—
325C2×C4×D4—28no—
326C2×C4×D4—28no—
327C2×C4×D4—28no—
328C2×C4×D4—28no—
329C2×C4×D4C2318yes—
330C2×C4×D4C2318yes—
331C2×C4×D4C2318yes—
332C2×C4×D4C2318yescomplemented
333C2×#117—28no—
334C2×#117—28no—
335C2×#117C2318yes—
336C2×#117C2318yescomplemented
337C22×C4⋊C4—44no—
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⋊C4C2311yescharacteristic
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2318yescomplemented
369C22×C4⋊C4C2318yescomplemented
370C22×C22⋊C4—28no—
371C22×C22⋊C4—28no—
372C22×C22⋊C4—44no—
373C22×C22⋊C4—44no—
374C22×C22⋊C4—44no—
375C22×C22⋊C4D4116yescomplemented
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⋊C4C2318yes—
398C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
425C22×C22⋊C4C2318yes—
426C22×C22⋊C4C2318yes—
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2311yescharacteristic
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2311yescharacteristic
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2318yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438#400C2318yescomplemented
439#400C2318yescomplemented
440#400C2318yescomplemented
441#399C2318yescomplemented
442#398C2318yescomplemented
443#398C2318yescomplemented
444#398C2318yescomplemented
445#398C2318yescomplemented
446#398C2318yescomplemented
447#397C2318yescomplemented
448#397C2318yescomplemented
449#397C2318yescomplemented
450#397C2318yescomplemented
451#397C2318yescomplemented
452#396C2318yescomplemented
453#396C2318yescomplemented
454#396C2318yescomplemented
455#396C2318yescomplemented
456#396C2318yescomplemented
457#396C2318yescomplemented
458#396C2318yescomplemented
459#396C2318yescomplemented
460#395C2318yescomplemented
461#394C2318yes—
462#394C2318yes—
463#394C2318yescomplemented
464#394C2318yescomplemented
465#394C2318yescomplemented
466#394C2318yescomplemented
467#394C2318yescomplemented
468#394C2318yescomplemented
469#394C2318yescomplemented
470#394C2318yescomplemented
471#394C2318yescomplemented
472#393C2318yescomplemented
473#393C2318yescomplemented
474#393C2318yescomplemented
475#392C2318yes—
476#392C2318yes—
477#392C2318yescomplemented
478#391C2318yescomplemented
479#391C2318yescomplemented
480#391C2318yescomplemented
481#390C2318yescomplemented
482#390C2318yescomplemented
483#390C2318yescomplemented
484#389C2318yescomplemented
485#389C2318yescomplemented
486#388C2318yescomplemented
487#388C2318yescomplemented
488#388C2318yescomplemented
489#388C2318yescomplemented
490#387C2318yescomplemented
491#387C2318yescomplemented
492#387C2318yescomplemented
493#387C2318yescomplemented
494#386C2318yes—
495#386C2318yes—
496#386C2318yes—
497#386C2318yes—
498#386C2318yes—
499#386C2318yes—
500#386C2318yes—
501#386C2318yes—
502#386C2318yes—
503#386C2318yes—
504#386C2318yes—
505#386C2318yes—
506#386C2318yes—
507#386C2318yes—
508#386C2318yescomplemented
509#386C2318yescomplemented
510#386C2318yescomplemented
511#386C2318yescomplemented
512#386C2318yescomplemented
513#386C2318yescomplemented
514#386C2318yescomplemented
515#386C2318yescomplemented
516#386C2318yescomplemented
517#386C2318yescomplemented
518#385C2318yes—
519#385C2318yes—
520#385C2318yes—
521#385C2318yes—
522#385C2318yes—
523#385C2318yes—
524#385C2318yescomplemented
525#385C2318yescomplemented
526#385C2318yescomplemented
527#385C2318yescomplemented
528#385C2318yescomplemented
529#385C2318yescomplemented
530#385C2318yescomplemented
531#385C2318yescomplemented
532#381C2318yes—
533#380C2318yes—
534#380C2318yescomplemented
535#380C2318yescomplemented
536#380C2318yescomplemented
537#380C2318yescomplemented
538#380C2318yescomplemented
539#380C2318yescomplemented
540#380C2318yescomplemented
541#380C2318yescomplemented
542#380C2318yescomplemented
543#380C2318yescomplemented
544#379C2318yes—
545C2×#95C2311yescharacteristic
546C2×#95C2311yescharacteristic
547C2×#95C2311yescharacteristic
548C2×#95C2311yescharacteristic
549C2×#95C2311yescharacteristic
550C2×#95C2311yescharacteristic
551C2×#95C2311yescharacteristic
552C2×#95C2311yescharacteristic
553C2×#95C2311yescharacteristic
554C2×#95C2311yescharacteristic
555C2×#95C2311yescharacteristic
556C2×#95C2311yescharacteristic
557C2×#95C2311yescharacteristic
558C2×#95C2311yescharacteristic
559C2×#95C2311yescharacteristic
560C2×#95C2311yescharacteristic
561C2×#95C2311yescharacteristic
562C2×#95C2311yescharacteristic
563C2×#95C2311yescharacteristic
564C2×#95C2311yescharacteristic
565C2×#95C2311yescharacteristic
566C2×#95C2311yescharacteristic
567C2×#95C2311yescharacteristic
568C2×#95C2311yescharacteristic
569C2×#95C2311yescharacteristic
570C2×#95C2311yescharacteristic
571C2×#95C2311yescharacteristic
572C2×#95C2311yescharacteristic
573C2×#95C2311yescharacteristic
574C2×#95C2311yescharacteristic
575C2×#95C2311yescharacteristic
576C2×#95C2311yescharacteristic
577C2×#95C2318yes—
578C2×#95C2318yes—
579C2×#95C2311yescharacteristic
580C2×#95C2311yescharacteristic
581C2×#95C2318yescomplemented
582C2×#95C2318yescomplemented
583C25—24no—
584C25—24no—
585C25—24no—
586C25—24no—
587C25—24no—
588C25—24no—
589C25—24no—
590C25—24no—
591C25—42no—
592C25—42no—
593C25—42no—
594C25—42no—
595C25—42no—
596C25C2×D418yes—
597C25C2411yescharacteristic
598C25C2411yescharacteristic
599C25C2411yescharacteristic
600C25C2411yescharacteristic
601C25C2411yescharacteristic
602C25C2414yes—
603C25C2414yes—
604C25C2411yescharacteristic
605C25C2411yescharacteristic
606C2×#41—232no—
607C2×#41—232no—
608C2×#41—416no—
609C2×#41—464no—
610C22×Q8—24no—
611C22×Q8—24no—
612C22×Q8—24no—
613C22×Q8—42no—
614C22×Q8—42no—
615C22×Q8—42no—
616C22×Q8C2414yes—
617C22×Q8C2414yes—
618C22×D4—24no—
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—232no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—24no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—24no—
638C22×D4—24no—
639C22×D4—24no—
640C22×D4—24no—
641C22×D4—24no—
642C22×D4—24no—
643C22×D4—232no—
644C22×D4—24no—
645C22×D4—24no—
646C22×D4—24no—
647C22×D4—24no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—42no—
659C22×D4—42no—
660C22×D4—42no—
661C22×D4—42no—
662C22×D4—42no—
663C22×D4—42no—
664C22×D4—416no—
665C22×D4—464no—
666C22×D4#4118yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C22×D4C2414yes—
677C22×D4C2414yes—
678C22×D4C2414yes—
679C22×D4C2414yes—
680C22×D4C2414yes—
681C22×D4C2414yes—
682C23×C4—24no—
683C23×C4—24no—
684C23×C4—24no—
685C23×C4—24no—
686C23×C4—24no—
687C23×C4—24no—
688C23×C4—24no—
689C23×C4—24no—
690C23×C4—24no—
691C23×C4—24no—
692C23×C4—24no—
693C23×C4—24no—
694C23×C4—24no—
695C23×C4—24no—
696C23×C4—24no—
697C23×C4—24no—
698C23×C4—24no—
699C23×C4—24no—
700C23×C4—24no—
701C23×C4—24no—
702C23×C4—24no—
703C23×C4—24no—
704C23×C4—24no—
705C23×C4—416no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4—42no—
714C23×C4—42no—
715C23×C4—42no—
716C23×C4—42no—
717C23×C4—42no—
718C23×C4—416no—
719C23×C4—416no—
720C23×C4—42no—
721C23×C4—42no—
722C23×C4—42no—
723C23×C4—42no—
724C23×C4—42no—
725C23×C4—42no—
726C23×C4—42no—
727C23×C4—42no—
728C23×C4—42no—
729C23×C4—42no—
730C23×C4—42no—
731C23×C4—42no—
732C23×C4—42no—
733C23×C4—42no—
734C23×C4—464no—
735C23×C4C2×D418yes—
736C23×C4C2×D418yes—
737C23×C4C2414yes—
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2411yescharacteristic
745C23×C4C2411yescharacteristic
746C23×C4C2411yescharacteristic
747C23×C4C2411yescharacteristic
748C23×C4C2411yescharacteristic
749C23×C4C2411yescharacteristic
750C23×C4C2411yescharacteristic
751C23×C4C2411yescharacteristic
752C23×C4C2411yescharacteristic
753C23×C4C2411yescharacteristic
754C23×C4C2411yescharacteristic
755C23×C4C2411yescharacteristic
756C23×C4C2414yes—
757C23×C4C2414yes—
758C23×C4C2414yes—
759C23×C4C2414yes—
760C23×C4C2414yes—
761C23×C4C2414yes—
762C23×C4C2411yescharacteristic
763C23×C4C2411yescharacteristic
764C23×C4C2411yescharacteristic
765C23×C4C2411yescharacteristic
766C23×C4C2411yescharacteristic
767C23×C4C2411yescharacteristic
768C23×C4C2414yes—
769C23×C4C2414yes—
770C23×C4C2414yes—
771C23×C4C2414yes—
772C23×C4C2414yes—
773C23×C4C2414yes—
774C23×C4C2414yes—
775C23×C4C2414yes—
776C23×C4C2414yes—
777C23×C4C2414yes—
778#126—232no—
779#126—232no—
780#124—232no—
781#124—232no—
782#123—232no—
783#123—232no—
784#123—232no—
785#123—232no—
786#123—232no—
787#123—416no—
788C22⋊Q8—232no—
789C22⋊Q8—232no—
790C22⋊Q8—232no—
791C22⋊Q8—416no—
792#121—232no—
793#121—232no—
794#121—232no—
795#121—232no—
796#121—416no—
797#121—416no—
798#121—416no—
799#121—416no—
800#121—416no—
801#120—232no—
802#120—232no—
803#120—232no—
804#120—416no—
805C4×D4—232no—
806C4×D4—232no—
807C4×D4—232no—
808C4×D4—232no—
809#117—232no—
810#117—232no—
811C2×C4⋊C4—24no—
812C2×C4⋊C4—24no—
813C2×C4⋊C4—24no—
814C2×C4⋊C4—24no—
815C2×C4⋊C4—24no—
816C2×C4⋊C4—24no—
817C2×C4⋊C4—24no—
818C2×C4⋊C4—24no—
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—416no—
828C2×C4⋊C4—42no—
829C2×C4⋊C4—42no—
830C2×C4⋊C4—42no—
831C2×C4⋊C4—42no—
832C2×C4⋊C4—42no—
833C2×C4⋊C4—42no—
834C2×C4⋊C4—416no—
835C2×C4⋊C4—42no—
836C2×C4⋊C4—42no—
837C2×C4⋊C4—42no—
838C2×C4⋊C4—42no—
839C2×C4⋊C4—42no—
840C2×C4⋊C4—42no—
841C2×C4⋊C4—42no—
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×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×C22⋊C4—24no—
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—232no—
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—416no—
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⋊C4C2×D418yes—
925C2×C22⋊C4C2×D418yes—
926C2×C22⋊C4C2×D418yes—
927C2×C22⋊C4C2×D418yes—
928C2×C22⋊C4C2×D4164yescomplemented
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×C42—24no—
982C2×C42—24no—
983C2×C42—24no—
984C2×C42—24no—
985C2×C42C2414yes—
986C2×C42C2414yes—
987C2×C42C2414yes—
988C2×C42C2414yes—
989#95C2414yes—
990#95C2414yes—
991#95C2414yes—
992#95C2414yes—
993#95C2414yes—
994#95C2414yes—
995#95C2414yes—
996#95C2414yes—
997#95C2414yes—
998#95C2414yes—
999#95C2414yes—
1000#95C2414yes—
1001#95C2414yes—
1002#95C2414yes—
1003#95C2414yes—
1004#95C2414yes—
1005#95C2414yes—
1006#95C2414yes—
1007#95C2414yes—
1008#95C2414yes—
1009#95C2414yes—
1010#95C2414yes—
1011#95C2414yes—
1012#95C2414yes—
1013#95C2414yes—
1014#95C2414yes—
1015#95C2414yes—
1016#95C2414yes—
1017#95C2414yes—
1018#95C2414yes—
1019#95C2414yes—
1020#95C2414yes—
1021#95C2414yes—
1022#95C2414yes—
1023C24—22no—
1024C24—22no—
1025C24—22no—
1026C24—22no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—232no—
1032C24—232no—
1033C24—22no—
1034C24—28no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—28no—
1039C24—22no—
1040C24—22no—
1041C24—28no—
1042C24—22no—
1043C24—22no—
1044C24—28no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—22no—
1052C24—22no—
1053C24—22no—
1054C24—28no—
1055C24—22no—
1056C24—22no—
1057C24—22no—
1058C24—22no—
1059C24—22no—
1060C24—22no—
1061C24—22no—
1062C24—22no—
1063C24—22no—
1064C24—22no—
1065C24—22no—
1066C24—22no—
1067C24—22no—
1068C24—22no—
1069C24—22no—
1070C24—22no—
1071C24—28no—
1072C24—28no—
1073C24—28no—
1074C24—44no—
1075C24—416no—
1076C24—44no—
1077C24—44no—
1078C24—44no—
1079C24—44no—
1080C24—416no—
1081C24—416no—
1082C24—416no—
1083C24—416no—
1084C24—416no—
1085C24—416no—
1086C24—416no—
1087C24—416no—
1088C24—88no—
1089C24—88no—
1090C24—88no—
1091C24C22×D414yes—
1092C24C22×D4116yes—
1093C24C22×D414yes—
1094C24C22×D414yes—
1095C24C2×#4114yes—
1096C24C2×#4114yes—
1097C24H(5,𝔽2)14yes—
1098C24H(5,𝔽2)14yes—
1099C242−1+414yes—
1100C24C2512yes—
1101C24C2512yes—
1102C24C2512yes—
1103C24C2512yes—
1104C24C2512yes—
1105C24C2512yes—
1106C24C2512yes—
1107C24C2511yescharacteristic
1108#41—4128no—
1109C2×Q8—28no—
1110C2×Q8—28no—
1111C2×Q8—28no—
1112C2×Q8—44no—
1113C2×Q8—44no—
1114C2×Q8—44no—
1115C2×Q8—416no—
1116C2×Q8—88no—
1117C2×D4—232no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—28no—
1122C2×D4—28no—
1123C2×D4—28no—
1124C2×D4—28no—
1125C2×D4—28no—
1126C2×D4—28no—
1127C2×D4—28no—
1128C2×D4—28no—
1129C2×D4—28no—
1130C2×D4—28no—
1131C2×D4—28no—
1132C2×D4—28no—
1133C2×D4—28no—
1134C2×D4—28no—
1135C2×D4—28no—
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—44no—
1147C2×D4—44no—
1148C2×D4—44no—
1149C2×D4—416no—
1150C2×D4—416no—
1151C2×D4—44no—
1152C2×D4—44no—
1153C2×D4—44no—
1154C2×D4—44no—
1155C2×D4—44no—
1156C2×D4—44no—
1157C2×D4—44no—
1158C2×D4—44no—
1159C2×D4—44no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—4128no—
1165C2×D4—416no—
1166C2×D4—416no—
1167C2×D4—416no—
1168C2×D4—416no—
1169C2×D4—416no—
1170C2×D4—416no—
1171C2×D4—88no—
1172C2×D4—88no—
1173C2×D4—88no—
1174C2×D4—88no—
1175C2×D4—88no—
1176C2×D4—88no—
1177C2×D4C2×#41116yes—
1178C22×C4—232no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—28no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—28no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—28no—
1204C22×C4—22no—
1205C22×C4—28no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—28no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—28no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—28no—
1244C22×C4—28no—
1245C22×C4—28no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—28no—
1258C22×C4—28no—
1259C22×C4—28no—
1260C22×C4—28no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—416no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—416no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—416no—
1297C22×C4—416no—
1298C22×C4—416no—
1299C22×C4—416no—
1300C22×C4—416no—
1301C22×C4—416no—
1302C22×C4—416no—
1303C22×C4—4128no—
1304C22×C4—416no—
1305C22×C4—416no—
1306C22×C4—88no—
1307C22×C4—88no—
1308C22×C4—88no—
1309C22×C4—88no—
1310C22×C4—88no—
1311C22×C4C22×D414yes—
1312C22×C4C22×D414yes—
1313C22×C4C22×D414yes—
1314C22×C4C22×D414yes—
1315C22×C4C22×D4116yes—
1316C22×C4C22×D4116yes—
1317C22×C4C2×#4114yes—
1318C22×C4H(5,𝔽2)14yes—
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C4⋊C4—28no—
1344C4⋊C4—28no—
1345C4⋊C4—28no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—28no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—28no—
1355C4⋊C4—28no—
1356C4⋊C4—28no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4C22×D4116yes—
1421C22⋊C4C22×D4116yes—
1422C22⋊C4C22×D4116yes—
1423C22⋊C4C22×D4116yes—
1424C42—28no—
1425C42—28no—
1426C42—28no—
1427C42—28no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—28no—
1437C23—28no—
1438C23—28no—
1439C23—28no—
1440C23—28no—
1441C23—28no—
1442C23—28no—
1443C23—28no—
1444C23—28no—
1445C23—28no—
1446C23—28no—
1447C23—28no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—232no—
1461C23—28no—
1462C23—28no—
1463C23—232no—
1464C23—28no—
1465C23—28no—
1466C23—28no—
1467C23—28no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—416no—
1490C23—416no—
1491C23—416no—
1492C23—416no—
1493C23—416no—
1494C23—4128no—
1495C23—416no—
1496C23—416no—
1497C23—416no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—44no—
1502C23—44no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—416no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23—44no—
1522C23—44no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—88no—
1529C23—88no—
1530C23—88no—
1531C23—864no—
1532C23#537116yes—
1533C23#546116yes—
1534C23C23×D414yes—
1535C23C23×D414yes—
1536C23C23×D414yes—
1537C23C23×D412yes—
1538C23C22×#4114yes—
1539C23C22×#4114yes—
1540C23C22×#4112yes—
1541C23C2×H(5,𝔽2)14yes—
1542C23C2×H(5,𝔽2)14yes—
1543C23C2×H(5,𝔽2)12yes—
1544C23C2×H(5,𝔽2)12yes—
1545C23C2×H(5,𝔽2)12yes—
1546C23C2×2−1+414yes—
1547C23C2×2−1+412yes—
1548C23#58512yes—
1549C23C2611yescharacteristic
1550Q8—416no—
1551Q8—88no—
1552D4—232no—
1553D4—416no—
1554D4—416no—
1555D4—416no—
1556D4—416no—
1557D4—416no—
1558D4—416no—
1559D4—416no—
1560D4—416no—
1561D4—88no—
1562D4—88no—
1563D4—88no—
1564D4—88no—
1565D4—88no—
1566D4—88no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—28no—
1580C2×C4—28no—
1581C2×C4—232no—
1582C2×C4—28no—
1583C2×C4—28no—
1584C2×C4—28no—
1585C2×C4—28no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—416no—
1641C2×C4—416no—
1642C2×C4—416no—
1643C2×C4—416no—
1644C2×C4—416no—
1645C2×C4—416no—
1646C2×C4—416no—
1647C2×C4—416no—
1648C2×C4—416no—
1649C2×C4—416no—
1650C2×C4—416no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—44no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4C23×D414yes—
1675C2×C4C23×D414yes—
1676C2×C4C23×D414yes—
1677C2×C4C23×D414yes—
1678C2×C4C22×#4114yes—
1679C2×C4C2×H(5,𝔽2)14yes—
1680C22—24no—
1681C22—24no—
1682C22—24no—
1683C22—24no—
1684C22—24no—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—232no—
1689C22—232no—
1690C22—24no—
1691C22—24no—
1692C22—24no—
1693C22—24no—
1694C22—24no—
1695C22—24no—
1696C22—24no—
1697C22—24no—
1698C22—24no—
1699C22—24no—
1700C22—464no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—42no—
1706C22—416no—
1707C22—416no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—42no—
1712C22—42no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—42no—
1723C22—42no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—832no—
1733C22—88no—
1734C22—88no—
1735C22—88no—
1736C22C2×#53718yes—
1737C22C2×#53714yes—
1738C22C2×#54618yes—
1739C22C2×#54614yes—
1740C22#349614yes—
1741C22#351314yes—
1742C22#352014yes—
1743C22#353214yes—
1744C22#353514yes—
1745C22C24×D411yescharacteristic
1746C22C23×#4111yescharacteristic
1747C22C22×H(5,𝔽2)11yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C22×2−1+411yescharacteristic
1751C22C2×#58511yescharacteristic
1752C4—24no—
1753C4—24no—
1754C4—24no—
1755C4—24no—
1756C4—24no—
1757C4—24no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—42no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4—42no—
1776C2—28no—
1777C2—28no—
1778C2—44no—
1779C2—44no—
1780C2—82no—
1781C2—82no—
1782C2—82no—
1783C2#3807718yesdirect product factor
1784C2C22×#53711yescharacteristic
1785C2C22×#54611yescharacteristic
1786C2C2×#353211yescharacteristic
1787C2C2×#353511yescharacteristic
1788C2C2×#349611yescharacteristic
1789C2C2×#351311yescharacteristic
1790C2C2×#352011yescharacteristic
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×#2715C2semidirect
4. C2×#2712C2semidirect
5. C2×#2695C2semidirect
6. C2×#2693C2semidirect
7. C2×#2691C2semidirect
8. C2×#2691C2semidirect
9. C2×#2676C2semidirect
10. C2×#2671C2semidirect
11. #38077C2direct (N × H)
12. C2×#2847C2semidirect
13. C2×#2498C2semidirect
14. C2×#2438C2semidirect
15. C2×#2430C2semidirect
16. C2×#2411C2semidirect
17. C2×#2417C2semidirect
18. C2×#2416C2semidirect
19. C2×#2450C2semidirect
20. C2×#2450C2semidirect
21. C2×#2425C2semidirect
22. C2×#2412C2semidirect
23. C2×#2412C2semidirect
24. C2×#2424C2semidirect
25. C2×#2437C2semidirect
26. C2×#2410C2semidirect
27. C2×#2639C2semidirect
28. C2×#2618C2semidirect
29. C2×#2325C2semidirect
30. C2×#2311C2semidirect
31. C22×#386C2semidirect
32. C22×#385C2semidirect
37. C2×#551C22semidirect
39. C2×#546C22semidirect
40. C22×#126C22semidirect
41. C22×#126C22semidirect
43. C22×#124C22semidirect
48. C22×#123C22semidirect
49. C22×#123C22semidirect
52. C22×C22⋊Q8C22semidirect
53. C22×C22⋊Q8C22semidirect
60. C22×#121C22semidirect
61. C22×#121C22semidirect
62. C22×#121C22semidirect
70. C22×C4×D4C22semidirect
72. C22×#117C22semidirect
73. C23×C4⋊C4C22semidirect
74. C23×C4⋊C4C22semidirect
81. #2847C22semidirect
82. #2715C22semidirect
83. #2712C22semidirect
84. #2695C22semidirect
85. #2693C22semidirect
86. #2691C22semidirect
87. #2691C22semidirect
88. #2676C22semidirect
89. #2671C22semidirect
90. #2639C22semidirect
91. #2618C22semidirect
92. #2498C22semidirect
93. #2450C22semidirect
94. #2450C22semidirect
95. #2438C22semidirect
96. #2437C22semidirect
97. #2430C22semidirect
98. #2425C22semidirect
99. #2424C22semidirect
100. #2417C22semidirect
101. #2416C22semidirect
102. #2412C22semidirect
103. #2412C22semidirect
104. #2411C22semidirect
105. #2410C22semidirect
106. C2×#400C22semidirect
107. C2×#400C22semidirect
108. C2×#400C22semidirect
109. C2×#399C22semidirect
110. C2×#398C22semidirect
111. C2×#398C22semidirect
112. C2×#398C22semidirect
113. C2×#398C22semidirect
114. C2×#398C22semidirect
115. C2×#397C22semidirect
116. C2×#397C22semidirect
117. C2×#397C22semidirect
118. C2×#397C22semidirect
119. C2×#397C22semidirect
120. C2×#396C22semidirect
121. C2×#396C22semidirect
122. C2×#396C22semidirect
123. C2×#396C22semidirect
124. C2×#396C22semidirect
125. C2×#396C22semidirect
126. C2×#396C22semidirect
127. C2×#396C22semidirect
128. C2×#395C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#394C22semidirect
135. C2×#394C22semidirect
136. C2×#394C22semidirect
137. C2×#394C22semidirect
138. C2×#394C22semidirect
139. C2×#394C22semidirect
140. C2×#393C22semidirect
141. C2×#393C22semidirect
142. C2×#393C22semidirect
145. C2×#392C22semidirect
146. #2325C22semidirect
147. #2311C22semidirect
148. C2×#391C22semidirect
149. C2×#391C22semidirect
150. C2×#391C22semidirect
151. C2×#390C22semidirect
152. C2×#390C22semidirect
153. C2×#390C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#388C22semidirect
157. C2×#388C22semidirect
158. C2×#388C22semidirect
159. C2×#388C22semidirect
160. C2×#387C22semidirect
161. C2×#387C22semidirect
162. C2×#387C22semidirect
163. C2×#387C22semidirect
178. C2×#386C22semidirect
179. C2×#386C22semidirect
180. C2×#386C22semidirect
181. C2×#386C22semidirect
182. C2×#386C22semidirect
183. C2×#386C22semidirect
184. C2×#386C22semidirect
185. C2×#386C22semidirect
186. C2×#386C22semidirect
187. C2×#386C22semidirect
188. C2×#386C22semidirect
195. C2×#385C22semidirect
196. C2×#385C22semidirect
197. C2×#385C22semidirect
198. C2×#385C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
206. C2×#380C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
212. C2×#380C22semidirect
213. C2×#380C22semidirect
214. C2×#380C22semidirect
215. C2×#380C22semidirect
219. C22×#95C22semidirect
220. C22×#95C22semidirect
273. C2×#126C23semidirect
274. C2×#126C23semidirect
278. C2×#124C23semidirect
289. C2×#123C23semidirect
290. C2×#123C23semidirect
297. C2×C22⋊Q8C23semidirect
298. C2×C22⋊Q8C23semidirect
314. C2×#121C23semidirect
315. C2×#121C23semidirect
316. C2×#121C23semidirect
332. C2×C4×D4C23semidirect
336. C2×#117C23semidirect
368. C22×C4⋊C4C23semidirect
369. C22×C4⋊C4C23semidirect
375. C22×C22⋊C4D4semidirect
438. #400C23semidirect
439. #400C23semidirect
440. #400C23semidirect
441. #399C23semidirect
442. #398C23semidirect
443. #398C23semidirect
444. #398C23semidirect
445. #398C23semidirect
446. #398C23semidirect
447. #397C23semidirect
448. #397C23semidirect
449. #397C23semidirect
450. #397C23semidirect
451. #397C23semidirect
452. #396C23semidirect
453. #396C23semidirect
454. #396C23semidirect
455. #396C23semidirect
456. #396C23semidirect
457. #396C23semidirect
458. #396C23semidirect
459. #396C23semidirect
460. #395C23semidirect
463. #394C23semidirect
464. #394C23semidirect
465. #394C23semidirect
466. #394C23semidirect
467. #394C23semidirect
468. #394C23semidirect
469. #394C23semidirect
470. #394C23semidirect
471. #394C23semidirect
472. #393C23semidirect
473. #393C23semidirect
474. #393C23semidirect
477. #392C23semidirect
478. #391C23semidirect
479. #391C23semidirect
480. #391C23semidirect
481. #390C23semidirect
482. #390C23semidirect
483. #390C23semidirect
484. #389C23semidirect
485. #389C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #387C23semidirect
491. #387C23semidirect
492. #387C23semidirect
493. #387C23semidirect
508. #386C23semidirect
509. #386C23semidirect
510. #386C23semidirect
511. #386C23semidirect
512. #386C23semidirect
513. #386C23semidirect
514. #386C23semidirect
515. #386C23semidirect
516. #386C23semidirect
517. #386C23semidirect
524. #385C23semidirect
525. #385C23semidirect
526. #385C23semidirect
527. #385C23semidirect
528. #385C23semidirect
529. #385C23semidirect
530. #385C23semidirect
531. #385C23semidirect
534. #380C23semidirect
535. #380C23semidirect
536. #380C23semidirect
537. #380C23semidirect
538. #380C23semidirect
539. #380C23semidirect
540. #380C23semidirect
541. #380C23semidirect
542. #380C23semidirect
543. #380C23semidirect
581. C2×#95C23semidirect
582. C2×#95C23semidirect
928. C2×C22⋊C4C2×D4semidirect
1783. C2#38077direct (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×#27152
C2×#27122
C2×#26952
C2×#26932
C2×#26912
C2×#26762
C2×#26712
#380772
C2×#28472
C2×#24982
C2×#24382
C2×#24302
C2×#24112
C2×#24172
C2×#24162
C2×#24502
C2×#24252
C2×#24122
C2×#24242
C2×#24372
C2×#24102
C2×#26392
C2×#26182
C2×#23252
C2×#23112
C22×#3862
C22×#3852