Finite Group Databasebeta

← C2×#38086 #7635625

Subgroups — C2×#38086 #7635625

Order 512.

9580 conjugacy classes of subgroups.

The subgroup lattice has 1754 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×#2710C211yesmaximal, characteristic, complemented
4C2×#2703C211yesmaximal, characteristic, complemented
5C2×#2700C211yesmaximal, characteristic, complemented
6C2×#2689C211yesmaximal, characteristic, complemented
7C2×#2687C211yesmaximal, characteristic, complemented
8C2×#2685C211yesmaximal, characteristic, complemented
9C2×#2681C211yesmaximal, characteristic, complemented
10C2×#2678C211yesmaximal, characteristic, complemented
11#38086C2132yesmaximal, direct product factor
12C2×#2854C211yesmaximal, characteristic, complemented
13C2×#2498C211yesmaximal, characteristic, complemented
14C2×#2430C211yesmaximal, characteristic, complemented
15C2×#2470C211yesmaximal, characteristic, complemented
16C2×#2476C211yesmaximal, characteristic, complemented
17C2×#2457C211yesmaximal, characteristic, complemented
18C2×#2417C211yesmaximal, characteristic, complemented
19C2×#2464C211yesmaximal, characteristic, complemented
20C2×#2416C211yesmaximal, characteristic, complemented
21C2×#2466C211yesmaximal, characteristic, complemented
22C2×#2459C211yesmaximal, characteristic, complemented
23C2×#2480C211yesmaximal, characteristic, complemented
24C2×#2472C211yesmaximal, characteristic, complemented
25C2×#2412C211yesmaximal, characteristic, complemented
26C2×#2410C211yesmaximal, characteristic, complemented
27C2×#2639C211yesmaximal, characteristic, complemented
28C2×#2617C211yesmaximal, characteristic, complemented
29C2×#2325C211yesmaximal, characteristic, complemented
30C2×#2308C211yesmaximal, characteristic, complemented
31C2×#2297C211yesmaximal, characteristic, complemented
32C22×#388C211yesmaximal, characteristic, complemented
33C23×#41C2211yescharacteristic
34C24×D4C2211yescharacteristic
35C2×#551—216no—
36C2×#551C22116yescomplemented
37C2×#546—216no—
38C2×#546C22116yescomplemented
39C22×#126C2211yescharacteristic
40C22×#126C2211yescharacteristic
41C22×#124C2211yescharacteristic
42C22×#124C2211yescharacteristic
43C22×#123C2211yescharacteristic
44C22×#123C2211yescharacteristic
45C22×#123C2211yescharacteristic
46C22×#123C2211yescharacteristic, complemented
47C22×#123C2211yescharacteristic, complemented
48C22×#123C2211yescharacteristic, complemented
49C22×C22⋊Q8C2211yescharacteristic
50C22×C22⋊Q8C2211yescharacteristic, complemented
51C22×C22⋊Q8C2211yescharacteristic, complemented
52C22×C22⋊Q8C2211yescharacteristic, complemented
53C22×#121C2211yescharacteristic
54C22×#121C2211yescharacteristic
55C22×#121C2211yescharacteristic
56C22×#121C2211yescharacteristic
57C22×#121C2211yescharacteristic
58C22×#121C2211yescharacteristic, complemented
59C22×#121C2211yescharacteristic, complemented
60C22×#120C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C22×#120C2211yescharacteristic
64C22×C4×D4C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic, complemented
67C22×C4×D4C2211yescharacteristic, complemented
68C22×#117C2211yescharacteristic, complemented
69C22×#117C2211yescharacteristic, complemented
70C23×C4⋊C4C2211yescharacteristic, complemented
71C23×C22⋊C4C2211yescharacteristic
72C23×C22⋊C4C2211yescharacteristic
73C23×C22⋊C4C2211yescharacteristic
74C23×C22⋊C4C2211yescharacteristic
75C23×C22⋊C4C2211yescharacteristic
76C23×C42C2211yescharacteristic, complemented
77#2854C22116yescomplemented
78#2710C22116yescomplemented
79#2703C22116yescomplemented
80#2700C22116yescomplemented
81#2689C22116yescomplemented
82#2687C22116yescomplemented
83#2685C22116yescomplemented
84#2681C22116yescomplemented
85#2678C22116yescomplemented
86#2639C22116yescomplemented
87#2617C22116yescomplemented
88#2498C22116yescomplemented
89#2480C22116yescomplemented
90#2476C22116yescomplemented
91#2472C22116yescomplemented
92#2470C22116yescomplemented
93#2466C22116yescomplemented
94#2464C22116yescomplemented
95#2459C22116yescomplemented
96#2457C22116yescomplemented
97#2430C22116yescomplemented
98#2417C22116yescomplemented
99#2416C22116yescomplemented
100#2412C22116yescomplemented
101#2410C22116yescomplemented
102C2×#400C2211yescharacteristic, complemented
103C2×#400C2211yescharacteristic, complemented
104C2×#400C2211yescharacteristic, complemented
105C2×#399C2211yescharacteristic, complemented
106C2×#398C2211yescharacteristic, complemented
107C2×#398C2211yescharacteristic, complemented
108C2×#398C2211yescharacteristic, complemented
109C2×#397C2211yescharacteristic
110C2×#397C2211yescharacteristic
111C2×#397C2211yescharacteristic
112C2×#397C2211yescharacteristic, complemented
113C2×#397C2211yescharacteristic, complemented
114C2×#397C2211yescharacteristic, complemented
115C2×#397C2211yescharacteristic, complemented
116C2×#396C2211yescharacteristic, complemented
117C2×#396C2211yescharacteristic, complemented
118C2×#396C2211yescharacteristic, complemented
119C2×#396C2211yescharacteristic, complemented
120C2×#395C2211yescharacteristic, complemented
121C2×#394C2211yescharacteristic
122C2×#394C2211yescharacteristic
123C2×#394C2211yescharacteristic
124C2×#394C2211yescharacteristic
125C2×#394C2211yescharacteristic
126C2×#394C2211yescharacteristic
127C2×#394C2211yescharacteristic, complemented
128C2×#394C2211yescharacteristic, complemented
129C2×#394C2211yescharacteristic, complemented
130C2×#394C2211yescharacteristic, complemented
131C2×#394C2211yescharacteristic, complemented
132C2×#394C2211yescharacteristic, complemented
133C2×#394C2211yescharacteristic, complemented
134C2×#393C2211yescharacteristic, complemented
135C2×#393C2211yescharacteristic, complemented
136C2×#393C2211yescharacteristic, complemented
137C2×#392C2211yescharacteristic
138C2×#392C2211yescharacteristic
139C2×#392C2211yescharacteristic
140C2×#392C2211yescharacteristic, complemented
141C2×#392C2211yescharacteristic, complemented
142#2325C22116yescomplemented
143#2308C22116yescomplemented
144#2297C22116yescomplemented
145C2×#391C2211yescharacteristic, complemented
146C2×#391C2211yescharacteristic, complemented
147C2×#391C2211yescharacteristic, complemented
148C2×#390C2211yescharacteristic, complemented
149C2×#390C2211yescharacteristic, complemented
150C2×#390C2211yescharacteristic, complemented
151C2×#390C2211yescharacteristic, complemented
152C2×#390C2211yescharacteristic, complemented
153C2×#389C2211yescharacteristic, complemented
154C2×#389C2211yescharacteristic, complemented
155C2×#389C2211yescharacteristic, complemented
156C2×#389C2211yescharacteristic, complemented
157C2×#388C2211yescharacteristic
158C2×#388C2211yescharacteristic
159C2×#388C2211yescharacteristic
160C2×#388C2211yescharacteristic
161C2×#388C2211yescharacteristic, complemented
162C2×#388C2211yescharacteristic, complemented
163C2×#388C2211yescharacteristic, complemented
164C2×#388C2211yescharacteristic, complemented
165C2×#388C2211yescharacteristic, complemented
166C2×#388C2211yescharacteristic, complemented
167C2×#388C2211yescharacteristic, complemented
168C2×#388C2211yescharacteristic, complemented
169C2×#388C2211yescharacteristic, complemented
170C2×#388C2211yescharacteristic, complemented
171C2×#388C2211yescharacteristic, complemented
172C2×#388C2211yescharacteristic, complemented
173C2×#388C22116yescomplemented
174C2×#387C2211yescharacteristic, complemented
175C2×#387C2211yescharacteristic, complemented
176C2×#387C2211yescharacteristic, complemented
177C2×#387C2211yescharacteristic, complemented
178C2×#386C2211yescharacteristic
179C2×#386C2211yescharacteristic
180C2×#386C2211yescharacteristic
181C2×#386C2211yescharacteristic
182C2×#386C2211yescharacteristic
183C2×#386C2211yescharacteristic
184C2×#386C2211yescharacteristic
185C2×#386C2211yescharacteristic
186C2×#386C2211yescharacteristic
187C2×#386C2211yescharacteristic
188C2×#386C2211yescharacteristic
189C2×#386C2211yescharacteristic, complemented
190C2×#386C2211yescharacteristic, complemented
191C2×#386C2211yescharacteristic, complemented
192C2×#386C2211yescharacteristic, complemented
193C2×#386C2211yescharacteristic, complemented
194C2×#386C2211yescharacteristic, complemented
195C2×#386C2211yescharacteristic, complemented
196C2×#386C2211yescharacteristic, complemented
197C2×#386C2211yescharacteristic, complemented
198C2×#385C2211yescharacteristic
199C2×#385C2211yescharacteristic, complemented
200C2×#385C2211yescharacteristic, complemented
201C2×#385C2211yescharacteristic, complemented
202C2×#385C2211yescharacteristic, complemented
203C2×#385C2211yescharacteristic, complemented
204C2×#381C2211yescharacteristic
205C2×#381C2211yescharacteristic
206C2×#381C2211yescharacteristic, complemented
207C2×#380C2211yescharacteristic, complemented
208C2×#380C2211yescharacteristic, complemented
209C2×#380C2211yescharacteristic, complemented
210C2×#380C2211yescharacteristic, complemented
211C2×#380C2211yescharacteristic, complemented
212C2×#379C2211yescharacteristic
213C2×#379C2211yescharacteristic
214C2×#379C2211yescharacteristic
215C2×C4×C22⋊C4C2211yescharacteristic, complemented
216C2×C4×C22⋊C4C2211yescharacteristic, complemented
217C2×C4×C22⋊C4C2211yescharacteristic, complemented
218C2×C4×C22⋊C4C2211yescharacteristic, complemented
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×D4C2318yes—
236C23×D4C2311yescharacteristic
237C23×D4C2311yescharacteristic
238C23×D4C2311yescharacteristic
239C23×D4C2311yescharacteristic
240C23×D4C2311yescharacteristic
241C23×D4C2311yescharacteristic
242C23×D4C2311yescharacteristic
243C23×D4C2311yescharacteristic
244C23×D4C2311yescharacteristic
245C23×D4C2311yescharacteristic
246C23×D4C2311yescharacteristic
247C23×D4C2311yescharacteristic
248C24×C4C2311yescharacteristic
249C24×C4C2311yescharacteristic
250C24×C4C2311yescharacteristic
251C24×C4C2311yescharacteristic
252C24×C4C2311yescharacteristic
253C24×C4C2311yescharacteristic
254C24×C4C2311yescharacteristic
255C24×C4C2311yescharacteristic
256C24×C4C2311yescharacteristic
257C24×C4C2311yescharacteristic
258C24×C4C2311yescharacteristic
259C24×C4C2311yescharacteristic
260C24×C4C2311yescharacteristic
261#551—2128no—
262#546—2128no—
263C2×#126—28no—
264C2×#126—28no—
265C2×#126C2318yes—
266C2×#126C2318yes—
267C2×#124—28no—
268C2×#124—28no—
269C2×#124C2318yes—
270C2×#124C2318yes—
271C2×#123—28no—
272C2×#123—28no—
273C2×#123—28no—
274C2×#123—28no—
275C2×#123—28no—
276C2×#123—44no—
277C2×#123C2318yes—
278C2×#123C2318yes—
279C2×#123C2318yes—
280C2×#123C2318yescomplemented
281C2×#123C2318yescomplemented
282C2×#123C2318yescomplemented
283C2×C22⋊Q8—28no—
284C2×C22⋊Q8—28no—
285C2×C22⋊Q8—28no—
286C2×C22⋊Q8—44no—
287C2×C22⋊Q8C2318yes—
288C2×C22⋊Q8C2318yescomplemented
289C2×C22⋊Q8C2318yescomplemented
290C2×C22⋊Q8C2318yescomplemented
291C2×#121—28no—
292C2×#121—28no—
293C2×#121—28no—
294C2×#121—28no—
295C2×#121—44no—
296C2×#121—44no—
297C2×#121—44no—
298C2×#121C2318yes—
299C2×#121C2318yes—
300C2×#121C2318yes—
301C2×#121C2318yes—
302C2×#121C2318yes—
303C2×#121C2318yescomplemented
304C2×#121C2318yescomplemented
305C2×#120—28no—
306C2×#120—28no—
307C2×#120—28no—
308C2×#120—44no—
309C2×#120C2318yes—
310C2×#120C2318yes—
311C2×#120C2318yes—
312C2×#120C2318yes—
313C2×C4×D4—28no—
314C2×C4×D4—28no—
315C2×C4×D4—28no—
316C2×C4×D4—28no—
317C2×C4×D4C2318yes—
318C2×C4×D4C2318yes—
319C2×C4×D4C2318yescomplemented
320C2×C4×D4C2318yescomplemented
321C2×#117—28no—
322C2×#117—28no—
323C2×#117C2318yescomplemented
324C2×#117C2318yescomplemented
325C22×C4⋊C4—44no—
326C22×C4⋊C4C2311yescharacteristic
327C22×C4⋊C4C2311yescharacteristic
328C22×C4⋊C4C2311yescharacteristic
329C22×C4⋊C4C2311yescharacteristic
330C22×C4⋊C4C2311yescharacteristic
331C22×C4⋊C4C2311yescharacteristic
332C22×C4⋊C4C2311yescharacteristic
333C22×C4⋊C4C2311yescharacteristic
334C22×C4⋊C4C2311yescharacteristic
335C22×C4⋊C4C2311yescharacteristic
336C22×C4⋊C4C2311yescharacteristic
337C22×C4⋊C4C2311yescharacteristic
338C22×C4⋊C4C2311yescharacteristic
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⋊C4C2318yescomplemented
352C22×C22⋊C4—28no—
353C22×C22⋊C4—28no—
354C22×C22⋊C4—44no—
355C22×C22⋊C4—44no—
356C22×C22⋊C4D4116yescomplemented
357C22×C22⋊C4C2318yes—
358C22×C22⋊C4C2311yescharacteristic
359C22×C22⋊C4C2311yescharacteristic
360C22×C22⋊C4C2311yescharacteristic
361C22×C22⋊C4C2311yescharacteristic
362C22×C22⋊C4C2311yescharacteristic
363C22×C22⋊C4C2311yescharacteristic
364C22×C22⋊C4C2311yescharacteristic
365C22×C22⋊C4C2311yescharacteristic
366C22×C22⋊C4C2311yescharacteristic
367C22×C22⋊C4C2311yescharacteristic
368C22×C22⋊C4C2311yescharacteristic
369C22×C22⋊C4C2311yescharacteristic
370C22×C22⋊C4C2311yescharacteristic
371C22×C22⋊C4C2311yescharacteristic
372C22×C22⋊C4C2311yescharacteristic
373C22×C22⋊C4C2311yescharacteristic
374C22×C22⋊C4C2311yescharacteristic
375C22×C22⋊C4C2311yescharacteristic
376C22×C22⋊C4C2311yescharacteristic
377C22×C22⋊C4C2311yescharacteristic
378C22×C22⋊C4C2311yescharacteristic
379C22×C22⋊C4C2318yes—
380C22×C22⋊C4C2311yescharacteristic
381C22×C22⋊C4C2311yescharacteristic
382C22×C22⋊C4C2311yescharacteristic
383C22×C22⋊C4C2318yes—
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⋊C4C2318yes—
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2311yescharacteristic
413C22×C22⋊C4C2311yescharacteristic
414C22×C22⋊C4C2311yescharacteristic
415C22×C22⋊C4C2311yescharacteristic
416C22×C22⋊C4C2311yescharacteristic
417C22×C22⋊C4C2318yes—
418C22×C42—44no—
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2311yescharacteristic
427C22×C42C2318yescomplemented
428#400C2318yescomplemented
429#400C2318yescomplemented
430#400C2318yescomplemented
431#399C2318yescomplemented
432#398C2318yescomplemented
433#398C2318yescomplemented
434#398C2318yescomplemented
435#397C2318yes—
436#397C2318yes—
437#397C2318yes—
438#397C2318yescomplemented
439#397C2318yescomplemented
440#397C2318yescomplemented
441#397C2318yescomplemented
442#396C2318yescomplemented
443#396C2318yescomplemented
444#396C2318yescomplemented
445#396C2318yescomplemented
446#395C2318yescomplemented
447#394C2318yes—
448#394C2318yes—
449#394C2318yes—
450#394C2318yes—
451#394C2318yes—
452#394C2318yes—
453#394C2318yescomplemented
454#394C2318yescomplemented
455#394C2318yescomplemented
456#394C2318yescomplemented
457#394C2318yescomplemented
458#394C2318yescomplemented
459#394C2318yescomplemented
460#393C2318yescomplemented
461#393C2318yescomplemented
462#393C2318yescomplemented
463#392C2318yes—
464#392C2318yes—
465#392C2318yes—
466#392C2318yescomplemented
467#392C2318yescomplemented
468#391C2318yescomplemented
469#391C2318yescomplemented
470#391C2318yescomplemented
471#390C2318yescomplemented
472#390C2318yescomplemented
473#390C2318yescomplemented
474#390C2318yescomplemented
475#390C2318yescomplemented
476#389C2318yescomplemented
477#389C2318yescomplemented
478#389C2318yescomplemented
479#389C2318yescomplemented
480#388C2318yes—
481#388C2318yes—
482#388C2318yes—
483#388C2318yes—
484#388C2318yescomplemented
485#388C2318yescomplemented
486#388C2318yescomplemented
487#388C2318yescomplemented
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#386C2318yescomplemented
512#386C2318yescomplemented
513#386C2318yescomplemented
514#386C2318yescomplemented
515#386C2318yescomplemented
516#386C2318yescomplemented
517#386C2318yescomplemented
518#386C2318yescomplemented
519#386C2318yescomplemented
520#385C2318yes—
521#385C2318yescomplemented
522#385C2318yescomplemented
523#385C2318yescomplemented
524#385C2318yescomplemented
525#385C2318yescomplemented
526#381C2318yes—
527#381C2318yes—
528#381C2318yescomplemented
529#380C2318yescomplemented
530#380C2318yescomplemented
531#380C2318yescomplemented
532#380C2318yescomplemented
533#380C2318yescomplemented
534#379C2318yes—
535#379C2318yes—
536#379C2318yes—
537C4×C22⋊C4C2318yescomplemented
538C4×C22⋊C4C2318yescomplemented
539C4×C22⋊C4C2318yescomplemented
540C4×C22⋊C4C2318yescomplemented
541C2×#95C2311yescharacteristic
542C2×#95C2311yescharacteristic
543C2×#95C2311yescharacteristic
544C2×#95C2311yescharacteristic
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×#95C2318yescomplemented
576C2×#95C2318yescomplemented
577C25—24no—
578C25—24no—
579C25—24no—
580C25—24no—
581C25—42no—
582C25—42no—
583C25—42no—
584C25—42no—
585C25—42no—
586C25—42no—
587C25—42no—
588C25—42no—
589C25—42no—
590C25C2×D418yes—
591C25C2411yescharacteristic
592C25C2411yescharacteristic
593C25C2411yescharacteristic
594C25C2411yescharacteristic
595C25C2411yescharacteristic
596C25C2411yescharacteristic
597C25C2411yescharacteristic
598C25C2414yes—
599C25C2414yes—
600C2×#41—232no—
601C2×#41—232no—
602C2×#41—416no—
603C2×#41—464no—
604C22×Q8—24no—
605C22×Q8—24no—
606C22×Q8—24no—
607C22×Q8—42no—
608C22×Q8—42no—
609C22×Q8—42no—
610C22×Q8C2414yes—
611C22×Q8C2414yes—
612C22×D4—24no—
613C22×D4—24no—
614C22×D4—24no—
615C22×D4—24no—
616C22×D4—24no—
617C22×D4—24no—
618C22×D4—24no—
619C22×D4—24no—
620C22×D4—24no—
621C22×D4—232no—
622C22×D4—24no—
623C22×D4—24no—
624C22×D4—24no—
625C22×D4—24no—
626C22×D4—24no—
627C22×D4—24no—
628C22×D4—24no—
629C22×D4—24no—
630C22×D4—24no—
631C22×D4—24no—
632C22×D4—24no—
633C22×D4—232no—
634C22×D4—24no—
635C22×D4—24no—
636C22×D4—24no—
637C22×D4—24no—
638C22×D4—42no—
639C22×D4—42no—
640C22×D4—42no—
641C22×D4—42no—
642C22×D4—42no—
643C22×D4—42no—
644C22×D4—42no—
645C22×D4—42no—
646C22×D4—42no—
647C22×D4—42no—
648C22×D4—42no—
649C22×D4—42no—
650C22×D4—42no—
651C22×D4—42no—
652C22×D4—42no—
653C22×D4—42no—
654C22×D4—42no—
655C22×D4—42no—
656C22×D4—42no—
657C22×D4—42no—
658C22×D4—416no—
659C22×D4—464no—
660C22×D4#4118yes—
661C22×D4C2414yes—
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2414yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2414yes—
670C22×D4C2414yes—
671C22×D4C2414yes—
672C22×D4C2414yes—
673C22×D4C2414yes—
674C22×D4C2414yes—
675C22×D4C2414yes—
676C23×C4—24no—
677C23×C4—24no—
678C23×C4—24no—
679C23×C4—24no—
680C23×C4—24no—
681C23×C4—24no—
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—42no—
694C23×C4—42no—
695C23×C4—42no—
696C23×C4—42no—
697C23×C4—42no—
698C23×C4—42no—
699C23×C4—42no—
700C23×C4—42no—
701C23×C4—42no—
702C23×C4—42no—
703C23×C4—42no—
704C23×C4—42no—
705C23×C4—42no—
706C23×C4—42no—
707C23×C4—42no—
708C23×C4—42no—
709C23×C4—42no—
710C23×C4—42no—
711C23×C4—42no—
712C23×C4—42no—
713C23×C4C2×D418yes—
714C23×C4C2×D418yes—
715C23×C4C2411yescharacteristic
716C23×C4C2411yescharacteristic
717C23×C4C2411yescharacteristic
718C23×C4C2411yescharacteristic
719C23×C4C2411yescharacteristic
720C23×C4C2411yescharacteristic
721C23×C4C2411yescharacteristic
722C23×C4C2411yescharacteristic
723C23×C4C2411yescharacteristic
724C23×C4C2411yescharacteristic
725C23×C4C2411yescharacteristic
726C23×C4C2411yescharacteristic
727C23×C4C2411yescharacteristic
728C23×C4C2411yescharacteristic
729C23×C4C2411yescharacteristic
730C23×C4C2411yescharacteristic
731C23×C4C2411yescharacteristic
732C23×C4C2411yescharacteristic
733C23×C4C2414yes—
734C23×C4C2414yes—
735C23×C4C2414yes—
736C23×C4C2414yes—
737C23×C4C2414yes—
738C23×C4C2411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C23×C4C2414yes—
745C23×C4C2414yes—
746C23×C4C2414yes—
747C23×C4C2414yes—
748C23×C4C2414yes—
749C23×C4C2414yes—
750C23×C4C2414yes—
751C23×C4C2414yes—
752#126—232no—
753#126—232no—
754#124—232no—
755#124—232no—
756#123—232no—
757#123—232no—
758#123—232no—
759#123—232no—
760#123—232no—
761#123—416no—
762C22⋊Q8—232no—
763C22⋊Q8—232no—
764C22⋊Q8—232no—
765C22⋊Q8—416no—
766#121—232no—
767#121—232no—
768#121—232no—
769#121—232no—
770#121—416no—
771#121—416no—
772#121—416no—
773#120—232no—
774#120—232no—
775#120—232no—
776#120—416no—
777C4×D4—232no—
778C4×D4—232no—
779C4×D4—232no—
780C4×D4—232no—
781#117—232no—
782#117—232no—
783C2×C4⋊C4—24no—
784C2×C4⋊C4—24no—
785C2×C4⋊C4—24no—
786C2×C4⋊C4—24no—
787C2×C4⋊C4—24no—
788C2×C4⋊C4—24no—
789C2×C4⋊C4—24no—
790C2×C4⋊C4—24no—
791C2×C4⋊C4—24no—
792C2×C4⋊C4—24no—
793C2×C4⋊C4—24no—
794C2×C4⋊C4—24no—
795C2×C4⋊C4—24no—
796C2×C4⋊C4—24no—
797C2×C4⋊C4—24no—
798C2×C4⋊C4—24no—
799C2×C4⋊C4—416no—
800C2×C4⋊C4—42no—
801C2×C4⋊C4—42no—
802C2×C4⋊C4—42no—
803C2×C4⋊C4—42no—
804C2×C4⋊C4—42no—
805C2×C4⋊C4—42no—
806C2×C4⋊C4—42no—
807C2×C4⋊C4—42no—
808C2×C4⋊C4—42no—
809C2×C4⋊C4C2414yes—
810C2×C4⋊C4C2414yes—
811C2×C4⋊C4C2414yes—
812C2×C4⋊C4C2414yes—
813C2×C4⋊C4C2414yes—
814C2×C4⋊C4C2414yes—
815C2×C4⋊C4C2414yes—
816C2×C4⋊C4C2414yes—
817C2×C4⋊C4C2414yes—
818C2×C4⋊C4C2414yes—
819C2×C4⋊C4C2414yes—
820C2×C4⋊C4C2414yes—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2414yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2414yes—
826C2×C4⋊C4C2414yes—
827C2×C4⋊C4C2414yes—
828C2×C4⋊C4C2414yes—
829C2×C4⋊C4C2414yes—
830C2×C4⋊C4C2414yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2414yes—
834C2×C22⋊C4—24no—
835C2×C22⋊C4—24no—
836C2×C22⋊C4—24no—
837C2×C22⋊C4—24no—
838C2×C22⋊C4—24no—
839C2×C22⋊C4—232no—
840C2×C22⋊C4—24no—
841C2×C22⋊C4—24no—
842C2×C22⋊C4—24no—
843C2×C22⋊C4—24no—
844C2×C22⋊C4—24no—
845C2×C22⋊C4—24no—
846C2×C22⋊C4—24no—
847C2×C22⋊C4—24no—
848C2×C22⋊C4—24no—
849C2×C22⋊C4—24no—
850C2×C22⋊C4—24no—
851C2×C22⋊C4—24no—
852C2×C22⋊C4—24no—
853C2×C22⋊C4—24no—
854C2×C22⋊C4—24no—
855C2×C22⋊C4—24no—
856C2×C22⋊C4—24no—
857C2×C22⋊C4—24no—
858C2×C22⋊C4—24no—
859C2×C22⋊C4—232no—
860C2×C22⋊C4—416no—
861C2×C22⋊C4—42no—
862C2×C22⋊C4—42no—
863C2×C22⋊C4—42no—
864C2×C22⋊C4—42no—
865C2×C22⋊C4—416no—
866C2×C22⋊C4—42no—
867C2×C22⋊C4—42no—
868C2×C22⋊C4—42no—
869C2×C22⋊C4—42no—
870C2×C22⋊C4—42no—
871C2×C22⋊C4—42no—
872C2×C22⋊C4—42no—
873C2×C22⋊C4—42no—
874C2×C22⋊C4—42no—
875C2×C22⋊C4—42no—
876C2×C22⋊C4—42no—
877C2×C22⋊C4—42no—
878C2×C22⋊C4—42no—
879C2×C22⋊C4—42no—
880C2×C22⋊C4—42no—
881C2×C22⋊C4—42no—
882C2×C22⋊C4—42no—
883C2×C22⋊C4—42no—
884C2×C22⋊C4—42no—
885C2×C22⋊C4—42no—
886C2×C22⋊C4—42no—
887C2×C22⋊C4—42no—
888C2×C22⋊C4—42no—
889C2×C22⋊C4—42no—
890C2×C22⋊C4C2×D418yes—
891C2×C22⋊C4C2×D418yes—
892C2×C22⋊C4C2×D418yes—
893C2×C22⋊C4C2×D418yes—
894C2×C22⋊C4C2×D4164yescomplemented
895C2×C22⋊C4C2414yes—
896C2×C22⋊C4C2414yes—
897C2×C22⋊C4C2414yes—
898C2×C22⋊C4C2414yes—
899C2×C22⋊C4C2414yes—
900C2×C22⋊C4C2414yes—
901C2×C22⋊C4C2414yes—
902C2×C22⋊C4C2414yes—
903C2×C22⋊C4C2414yes—
904C2×C22⋊C4C2414yes—
905C2×C22⋊C4C2414yes—
906C2×C22⋊C4C2414yes—
907C2×C22⋊C4C2414yes—
908C2×C22⋊C4C2414yes—
909C2×C22⋊C4C2414yes—
910C2×C22⋊C4C2414yes—
911C2×C22⋊C4C2414yes—
912C2×C22⋊C4C2414yes—
913C2×C22⋊C4C2414yes—
914C2×C22⋊C4C2414yes—
915C2×C22⋊C4C2414yes—
916C2×C22⋊C4C2414yes—
917C2×C22⋊C4C2414yes—
918C2×C22⋊C4C2414yes—
919C2×C22⋊C4C2414yes—
920C2×C22⋊C4C2414yes—
921C2×C22⋊C4C2414yes—
922C2×C22⋊C4C2414yes—
923C2×C22⋊C4C2414yes—
924C2×C22⋊C4C2414yes—
925C2×C22⋊C4C2414yes—
926C2×C22⋊C4C2414yes—
927C2×C22⋊C4C2414yes—
928C2×C22⋊C4C2414yes—
929C2×C22⋊C4C2414yes—
930C2×C22⋊C4C2414yes—
931C2×C22⋊C4C2414yes—
932C2×C22⋊C4C2414yes—
933C2×C22⋊C4C2414yes—
934C2×C22⋊C4C2414yes—
935C2×C22⋊C4C2414yes—
936C2×C22⋊C4C2414yes—
937C2×C22⋊C4C2414yes—
938C2×C22⋊C4C2414yes—
939C2×C22⋊C4C2414yes—
940C2×C22⋊C4C2414yes—
941C2×C22⋊C4C2414yes—
942C2×C22⋊C4C2414yes—
943C2×C22⋊C4C2414yes—
944C2×C22⋊C4C2414yes—
945C2×C22⋊C4C2414yes—
946C2×C22⋊C4C2414yes—
947C2×C22⋊C4C2414yes—
948C2×C22⋊C4C2414yes—
949C2×C22⋊C4C2414yes—
950C2×C22⋊C4C2414yes—
951C2×C42—24no—
952C2×C42—24no—
953C2×C42—24no—
954C2×C42—24no—
955C2×C42—42no—
956C2×C42—42no—
957C2×C42—42no—
958C2×C42—42no—
959C2×C42—416no—
960C2×C42C2414yes—
961C2×C42C2414yes—
962C2×C42C2414yes—
963C2×C42C2414yes—
964C2×C42C2414yes—
965C2×C42C2414yes—
966C2×C42C2414yes—
967C2×C42C2414yes—
968#95C2414yes—
969#95C2414yes—
970#95C2414yes—
971#95C2414yes—
972#95C2414yes—
973#95C2414yes—
974#95C2414yes—
975#95C2414yes—
976#95C2414yes—
977#95C2414yes—
978#95C2414yes—
979#95C2414yes—
980#95C2414yes—
981#95C2414yes—
982#95C2414yes—
983#95C2414yes—
984#95C2414yes—
985#95C2414yes—
986#95C2414yes—
987#95C2414yes—
988#95C2414yes—
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—
1002C24—22no—
1003C24—22no—
1004C24—22no—
1005C24—22no—
1006C24—22no—
1007C24—22no—
1008C24—22no—
1009C24—22no—
1010C24—22no—
1011C24—22no—
1012C24—22no—
1013C24—22no—
1014C24—22no—
1015C24—22no—
1016C24—22no—
1017C24—22no—
1018C24—22no—
1019C24—22no—
1020C24—22no—
1021C24—22no—
1022C24—22no—
1023C24—22no—
1024C24—232no—
1025C24—28no—
1026C24—28no—
1027C24—22no—
1028C24—22no—
1029C24—22no—
1030C24—22no—
1031C24—22no—
1032C24—22no—
1033C24—22no—
1034C24—22no—
1035C24—22no—
1036C24—22no—
1037C24—22no—
1038C24—22no—
1039C24—22no—
1040C24—22no—
1041C24—22no—
1042C24—22no—
1043C24—22no—
1044C24—22no—
1045C24—22no—
1046C24—22no—
1047C24—22no—
1048C24—28no—
1049C24—28no—
1050C24—44no—
1051C24—44no—
1052C24—416no—
1053C24—416no—
1054C24—44no—
1055C24—44no—
1056C24—44no—
1057C24—44no—
1058C24—44no—
1059C24—44no—
1060C24—44no—
1061C24—416no—
1062C24—416no—
1063C24—88no—
1064C24—88no—
1065C24—88no—
1066C24—88no—
1067C24—88no—
1068C24—88no—
1069C24—88no—
1070C24—88no—
1071C24—88no—
1072C24C22×D414yes—
1073C24C22×D414yes—
1074C24C22×D414yes—
1075C24C22×D4116yes—
1076C24C2×#4114yes—
1077C24C2×#4114yes—
1078C24H(5,𝔽2)14yes—
1079C24C2512yes—
1080C24C2512yes—
1081C24C2512yes—
1082C24C2512yes—
1083C24C2512yes—
1084C24C2512yes—
1085C24C2512yes—
1086C24C2511yescharacteristic
1087#41—4128no—
1088C2×Q8—28no—
1089C2×Q8—28no—
1090C2×Q8—28no—
1091C2×Q8—44no—
1092C2×Q8—44no—
1093C2×Q8—44no—
1094C2×Q8—416no—
1095C2×Q8—88no—
1096C2×D4—232no—
1097C2×D4—28no—
1098C2×D4—28no—
1099C2×D4—28no—
1100C2×D4—28no—
1101C2×D4—28no—
1102C2×D4—28no—
1103C2×D4—28no—
1104C2×D4—28no—
1105C2×D4—28no—
1106C2×D4—28no—
1107C2×D4—28no—
1108C2×D4—28no—
1109C2×D4—28no—
1110C2×D4—28no—
1111C2×D4—28no—
1112C2×D4—28no—
1113C2×D4—28no—
1114C2×D4—28no—
1115C2×D4—28no—
1116C2×D4—28no—
1117C2×D4—28no—
1118C2×D4—28no—
1119C2×D4—28no—
1120C2×D4—28no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—44no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—416no—
1129C2×D4—416no—
1130C2×D4—44no—
1131C2×D4—44no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—44no—
1139C2×D4—44no—
1140C2×D4—44no—
1141C2×D4—44no—
1142C2×D4—44no—
1143C2×D4—4128no—
1144C2×D4—416no—
1145C2×D4—416no—
1146C2×D4—416no—
1147C2×D4—416no—
1148C2×D4—416no—
1149C2×D4—416no—
1150C2×D4—88no—
1151C2×D4—88no—
1152C2×D4—88no—
1153C2×D4—88no—
1154C2×D4—88no—
1155C2×D4—88no—
1156C2×D4C2×#41116yes—
1157C22×C4—232no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—28no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—28no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—28no—
1183C22×C4—22no—
1184C22×C4—28no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—28no—
1191C22×C4—28no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—28no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—28no—
1232C22×C4—28no—
1233C22×C4—28no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—28no—
1239C22×C4—28no—
1240C22×C4—28no—
1241C22×C4—44no—
1242C22×C4—416no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—416no—
1253C22×C4—44no—
1254C22×C4—44no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—416no—
1264C22×C4—416no—
1265C22×C4—416no—
1266C22×C4—416no—
1267C22×C4—416no—
1268C22×C4—88no—
1269C22×C4—88no—
1270C22×C4—88no—
1271C22×C4—88no—
1272C22×C4—88no—
1273C22×C4C22×D414yes—
1274C22×C4C22×D414yes—
1275C22×C4C22×D414yes—
1276C22×C4C22×D414yes—
1277C22×C4C22×D4116yes—
1278C22×C4C22×D4116yes—
1279C22×C4C2×#4114yes—
1280C22×C4H(5,𝔽2)14yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—28no—
1318C4⋊C4—28no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C22⋊C4—28no—
1331C22⋊C4—28no—
1332C22⋊C4—28no—
1333C22⋊C4—28no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—28no—
1338C22⋊C4—28no—
1339C22⋊C4—28no—
1340C22⋊C4—28no—
1341C22⋊C4—28no—
1342C22⋊C4—28no—
1343C22⋊C4—28no—
1344C22⋊C4—28no—
1345C22⋊C4—28no—
1346C22⋊C4—28no—
1347C22⋊C4—28no—
1348C22⋊C4—28no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4C22×D4116yes—
1383C22⋊C4C22×D4116yes—
1384C22⋊C4C22×D4116yes—
1385C22⋊C4C22×D4116yes—
1386C42—28no—
1387C42—28no—
1388C42—28no—
1389C42—28no—
1390C42—44no—
1391C42—44no—
1392C42—44no—
1393C42—44no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—28no—
1399C23—28no—
1400C23—28no—
1401C23—28no—
1402C23—28no—
1403C23—28no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23—22no—
1421C23—22no—
1422C23—28no—
1423C23—28no—
1424C23—28no—
1425C23—28no—
1426C23—28no—
1427C23—28no—
1428C23—28no—
1429C23—28no—
1430C23—28no—
1431C23—232no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—22no—
1443C23—22no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—416no—
1454C23—416no—
1455C23—416no—
1456C23—416no—
1457C23—44no—
1458C23—44no—
1459C23—44no—
1460C23—44no—
1461C23—44no—
1462C23—44no—
1463C23—44no—
1464C23—44no—
1465C23—44no—
1466C23—44no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—44no—
1481C23—44no—
1482C23—44no—
1483C23—44no—
1484C23—44no—
1485C23—44no—
1486C23—44no—
1487C23—44no—
1488C23—44no—
1489C23—44no—
1490C23—88no—
1491C23—88no—
1492C23—88no—
1493C23—88no—
1494C23—864no—
1495C23—88no—
1496C23—88no—
1497C23—88no—
1498C23—88no—
1499C23—88no—
1500C23—864no—
1501C23#546116yes—
1502C23C23×D414yes—
1503C23C23×D414yes—
1504C23C23×D414yes—
1505C23C23×D412yes—
1506C23C22×#4114yes—
1507C23C22×#4114yes—
1508C23C22×#4112yes—
1509C23C2×H(5,𝔽2)14yes—
1510C23C2×H(5,𝔽2)12yes—
1511C23C2×H(5,𝔽2)12yes—
1512C23#58512yes—
1513C23#58512yes—
1514C23#58512yes—
1515C23C2611yescharacteristic
1516Q8—416no—
1517Q8—88no—
1518D4—232no—
1519D4—416no—
1520D4—416no—
1521D4—416no—
1522D4—416no—
1523D4—416no—
1524D4—416no—
1525D4—416no—
1526D4—416no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—88no—
1531D4—88no—
1532D4—88no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—28no—
1546C2×C4—28no—
1547C2×C4—232no—
1548C2×C4—28no—
1549C2×C4—28no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
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—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
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—416no—
1607C2×C4—416no—
1608C2×C4—416no—
1609C2×C4—416no—
1610C2×C4—416no—
1611C2×C4—416no—
1612C2×C4—416no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—44no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—44no—
1629C2×C4—44no—
1630C2×C4—44no—
1631C2×C4—88no—
1632C2×C4—88no—
1633C2×C4—88no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4C23×D414yes—
1637C2×C4C23×D414yes—
1638C2×C4C23×D414yes—
1639C2×C4C23×D414yes—
1640C2×C4C22×#4114yes—
1641C2×C4C2×H(5,𝔽2)14yes—
1642C22—24no—
1643C22—24no—
1644C22—24no—
1645C22—24no—
1646C22—24no—
1647C22—232no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—416no—
1670C22—416no—
1671C22—416no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—42no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—42no—
1686C22—42no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—832no—
1695C22—832no—
1696C22—88no—
1697C22—88no—
1698C22—88no—
1699C22#344914yes—
1700C22C2×#54618yes—
1701C22C2×#54614yes—
1702C22#349614yes—
1703C22#351414yes—
1704C22#352114yes—
1705C22#353314yes—
1706C22#353414yes—
1707C22C24×D411yescharacteristic
1708C22C23×#4111yescharacteristic
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22C2×#58511yescharacteristic
1714C4—24no—
1715C4—24no—
1716C4—24no—
1717C4—24no—
1718C4—24no—
1719C4—24no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C2—28no—
1739C2—44no—
1740C2—44no—
1741C2—44no—
1742C2—82no—
1743C2—82no—
1744C2—82no—
1745C2#3808618yesdirect product factor
1746C2C2×#344911yescharacteristic
1747C2C22×#54611yescharacteristic
1748C2C2×#353411yescharacteristic
1749C2C2×#353311yescharacteristic
1750C2C2×#349611yescharacteristic
1751C2C2×#351411yescharacteristic
1752C2C2×#352111yescharacteristic
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×#2710C2semidirect
4. C2×#2703C2semidirect
5. C2×#2700C2semidirect
6. C2×#2689C2semidirect
7. C2×#2687C2semidirect
8. C2×#2685C2semidirect
9. C2×#2681C2semidirect
10. C2×#2678C2semidirect
11. #38086C2direct (N × H)
12. C2×#2854C2semidirect
13. C2×#2498C2semidirect
14. C2×#2430C2semidirect
15. C2×#2470C2semidirect
16. C2×#2476C2semidirect
17. C2×#2457C2semidirect
18. C2×#2417C2semidirect
19. C2×#2464C2semidirect
20. C2×#2416C2semidirect
21. C2×#2466C2semidirect
22. C2×#2459C2semidirect
23. C2×#2480C2semidirect
24. C2×#2472C2semidirect
25. C2×#2412C2semidirect
26. C2×#2410C2semidirect
27. C2×#2639C2semidirect
28. C2×#2617C2semidirect
29. C2×#2325C2semidirect
30. C2×#2308C2semidirect
31. C2×#2297C2semidirect
32. C22×#388C2semidirect
36. C2×#551C22semidirect
38. C2×#546C22semidirect
46. C22×#123C22semidirect
47. C22×#123C22semidirect
48. C22×#123C22semidirect
50. C22×C22⋊Q8C22semidirect
51. C22×C22⋊Q8C22semidirect
52. C22×C22⋊Q8C22semidirect
58. C22×#121C22semidirect
59. C22×#121C22semidirect
66. C22×C4×D4C22semidirect
67. C22×C4×D4C22semidirect
68. C22×#117C22semidirect
69. C22×#117C22semidirect
70. C23×C4⋊C4C22semidirect
76. C23×C42C22semidirect
77. #2854C22semidirect
78. #2710C22semidirect
79. #2703C22semidirect
80. #2700C22semidirect
81. #2689C22semidirect
82. #2687C22semidirect
83. #2685C22semidirect
84. #2681C22semidirect
85. #2678C22semidirect
86. #2639C22semidirect
87. #2617C22semidirect
88. #2498C22semidirect
89. #2480C22semidirect
90. #2476C22semidirect
91. #2472C22semidirect
92. #2470C22semidirect
93. #2466C22semidirect
94. #2464C22semidirect
95. #2459C22semidirect
96. #2457C22semidirect
97. #2430C22semidirect
98. #2417C22semidirect
99. #2416C22semidirect
100. #2412C22semidirect
101. #2410C22semidirect
102. C2×#400C22semidirect
103. C2×#400C22semidirect
104. C2×#400C22semidirect
105. C2×#399C22semidirect
106. C2×#398C22semidirect
107. C2×#398C22semidirect
108. C2×#398C22semidirect
112. C2×#397C22semidirect
113. C2×#397C22semidirect
114. C2×#397C22semidirect
115. C2×#397C22semidirect
116. C2×#396C22semidirect
117. C2×#396C22semidirect
118. C2×#396C22semidirect
119. C2×#396C22semidirect
120. C2×#395C22semidirect
127. C2×#394C22semidirect
128. C2×#394C22semidirect
129. C2×#394C22semidirect
130. C2×#394C22semidirect
131. C2×#394C22semidirect
132. C2×#394C22semidirect
133. C2×#394C22semidirect
134. C2×#393C22semidirect
135. C2×#393C22semidirect
136. C2×#393C22semidirect
140. C2×#392C22semidirect
141. C2×#392C22semidirect
142. #2325C22semidirect
143. #2308C22semidirect
144. #2297C22semidirect
145. C2×#391C22semidirect
146. C2×#391C22semidirect
147. C2×#391C22semidirect
148. C2×#390C22semidirect
149. C2×#390C22semidirect
150. C2×#390C22semidirect
151. C2×#390C22semidirect
152. C2×#390C22semidirect
153. C2×#389C22semidirect
154. C2×#389C22semidirect
155. C2×#389C22semidirect
156. C2×#389C22semidirect
161. C2×#388C22semidirect
162. C2×#388C22semidirect
163. C2×#388C22semidirect
164. C2×#388C22semidirect
165. C2×#388C22semidirect
166. C2×#388C22semidirect
167. C2×#388C22semidirect
168. C2×#388C22semidirect
169. C2×#388C22semidirect
170. C2×#388C22semidirect
171. C2×#388C22semidirect
172. C2×#388C22semidirect
173. C2×#388C22semidirect
174. C2×#387C22semidirect
175. C2×#387C22semidirect
176. C2×#387C22semidirect
177. C2×#387C22semidirect
189. C2×#386C22semidirect
190. C2×#386C22semidirect
191. C2×#386C22semidirect
192. C2×#386C22semidirect
193. C2×#386C22semidirect
194. C2×#386C22semidirect
195. C2×#386C22semidirect
196. C2×#386C22semidirect
197. C2×#386C22semidirect
199. C2×#385C22semidirect
200. C2×#385C22semidirect
201. C2×#385C22semidirect
202. C2×#385C22semidirect
203. C2×#385C22semidirect
206. C2×#381C22semidirect
207. C2×#380C22semidirect
208. C2×#380C22semidirect
209. C2×#380C22semidirect
210. C2×#380C22semidirect
211. C2×#380C22semidirect
215. C2×C4×C22⋊C4C22semidirect
216. C2×C4×C22⋊C4C22semidirect
217. C2×C4×C22⋊C4C22semidirect
218. C2×C4×C22⋊C4C22semidirect
219. C22×#95C22semidirect
220. C22×#95C22semidirect
280. C2×#123C23semidirect
281. C2×#123C23semidirect
282. C2×#123C23semidirect
288. C2×C22⋊Q8C23semidirect
289. C2×C22⋊Q8C23semidirect
290. C2×C22⋊Q8C23semidirect
303. C2×#121C23semidirect
304. C2×#121C23semidirect
319. C2×C4×D4C23semidirect
320. C2×C4×D4C23semidirect
323. C2×#117C23semidirect
324. C2×#117C23semidirect
351. C22×C4⋊C4C23semidirect
356. C22×C22⋊C4D4semidirect
427. C22×C42C23semidirect
428. #400C23semidirect
429. #400C23semidirect
430. #400C23semidirect
431. #399C23semidirect
432. #398C23semidirect
433. #398C23semidirect
434. #398C23semidirect
438. #397C23semidirect
439. #397C23semidirect
440. #397C23semidirect
441. #397C23semidirect
442. #396C23semidirect
443. #396C23semidirect
444. #396C23semidirect
445. #396C23semidirect
446. #395C23semidirect
453. #394C23semidirect
454. #394C23semidirect
455. #394C23semidirect
456. #394C23semidirect
457. #394C23semidirect
458. #394C23semidirect
459. #394C23semidirect
460. #393C23semidirect
461. #393C23semidirect
462. #393C23semidirect
466. #392C23semidirect
467. #392C23semidirect
468. #391C23semidirect
469. #391C23semidirect
470. #391C23semidirect
471. #390C23semidirect
472. #390C23semidirect
473. #390C23semidirect
474. #390C23semidirect
475. #390C23semidirect
476. #389C23semidirect
477. #389C23semidirect
478. #389C23semidirect
479. #389C23semidirect
484. #388C23semidirect
485. #388C23semidirect
486. #388C23semidirect
487. #388C23semidirect
488. #388C23semidirect
489. #388C23semidirect
490. #388C23semidirect
491. #388C23semidirect
492. #388C23semidirect
493. #388C23semidirect
494. #388C23semidirect
495. #388C23semidirect
496. #387C23semidirect
497. #387C23semidirect
498. #387C23semidirect
499. #387C23semidirect
511. #386C23semidirect
512. #386C23semidirect
513. #386C23semidirect
514. #386C23semidirect
515. #386C23semidirect
516. #386C23semidirect
517. #386C23semidirect
518. #386C23semidirect
519. #386C23semidirect
521. #385C23semidirect
522. #385C23semidirect
523. #385C23semidirect
524. #385C23semidirect
525. #385C23semidirect
528. #381C23semidirect
529. #380C23semidirect
530. #380C23semidirect
531. #380C23semidirect
532. #380C23semidirect
533. #380C23semidirect
537. C4×C22⋊C4C23semidirect
538. C4×C22⋊C4C23semidirect
539. C4×C22⋊C4C23semidirect
540. C4×C22⋊C4C23semidirect
575. C2×#95C23semidirect
576. C2×#95C23semidirect
894. C2×C22⋊C4C2×D4semidirect
1745. C2#38086direct (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×#27102
C2×#27032
C2×#27002
C2×#26892
C2×#26872
C2×#26852
C2×#26812
C2×#26782
#380862
C2×#28542
C2×#24982
C2×#24302
C2×#24702
C2×#24762
C2×#24572
C2×#24172
C2×#24642
C2×#24162
C2×#24662
C2×#24592
C2×#24802
C2×#24722
C2×#24122
C2×#24102
C2×#26392
C2×#26172
C2×#23252
C2×#23082
C2×#22972
C22×#3882