Finite Group Databasebeta

← #12278424

Subgroups — #12278424

Order 1280.

3114 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#525C211yesmaximal, characteristic, complemented
2C2×#65879C211yesmaximal, characteristic, complemented
3#10615828C211yesmaximal, characteristic, complemented
4#10615827C211yesmaximal, characteristic, complemented
5C4×#4099C211yesmaximal, characteristic, complemented
6C2×#65502C211yesmaximal, characteristic, complemented
7#10614630C211yesmaximal, characteristic, complemented
8#10614627C211yesmaximal, characteristic, complemented
9#10614586C211yesmaximal, characteristic, complemented
10#10614581C211yesmaximal, characteristic, complemented
11#10614549C211yesmaximal, characteristic, complemented
12#10614547C211yesmaximal, characteristic, complemented
13#10614501C211yesmaximal, characteristic, complemented
14#10614496C211yesmaximal, characteristic, complemented
15#10614438C211yesmaximal, characteristic, complemented
16#10614433C211yesmaximal, characteristic, complemented
17#10614389C211yesmaximal, characteristic, complemented
18#10614387C211yesmaximal, characteristic, complemented
19#10614336C211yesmaximal, characteristic, complemented
20#10614335C211yesmaximal, characteristic, complemented
21#10614317C211yesmaximal, characteristic, complemented
22#10614316C211yesmaximal, characteristic, complemented
23#10614150C211yesmaximal, characteristic, complemented
24#10614149C211yesmaximal, characteristic, complemented
25#10614147C211yesmaximal, characteristic, complemented
26#10614145C211yesmaximal, characteristic, complemented
27#10614126C211yesmaximal, characteristic, complemented
28#10614058C211yesmaximal, characteristic, complemented
29#10614055C211yesmaximal, characteristic, complemented
30#10614016C211yesmaximal, characteristic, complemented
31#10614015C211yesmaximal, characteristic, complemented
32C22×C5×#41C2211yescharacteristic, complemented
33C24×C4×C5C2211yescharacteristic, complemented
34C23×C22⋊D5C2211yescharacteristic
35C22×D4×D5C2211yescharacteristic
36C5×#525—28no—
37C2×C5×#123C2211yescharacteristic, complemented
38C2×C5×#123C2211yescharacteristic, complemented
39C2×C5×C22⋊Q8C2211yescharacteristic, complemented
40C2×C5×C22⋊Q8C2211yescharacteristic, complemented
41C2×C5×#121C2211yescharacteristic
42C2×C5×#121C2211yescharacteristic, complemented
43C2×C5×#120C2211yescharacteristic
44C2×C5×#120C2211yescharacteristic, complemented
45C2×C4×C5×D4C2211yescharacteristic
46C2×C4×C5×D4C2211yescharacteristic, complemented
47C2×C4×C5×D4C2211yescharacteristic, complemented
48C2×C4×C5×D4C2211yescharacteristic, complemented
49C2×C5×#117C2211yescharacteristic, complemented
50C2×#4099C2211yescharacteristic
51C22×C22⋊Dic5C2211yescharacteristic, complemented
52C2×#4092C2211yescharacteristic, complemented
53C2×#4085C2211yescharacteristic
54C2×#4084C2211yescharacteristic, complemented
55C2×#4084C2211yescharacteristic, complemented
56C2×#4084C2211yescharacteristic, complemented
57C2×#4083C2211yescharacteristic
58C2×#4083C2211yescharacteristic
59C2×#4083C2211yescharacteristic
60C2×#4083C2211yescharacteristic, complemented
61C2×#4081C2211yescharacteristic, complemented
62C2×D4×Dic5C2211yescharacteristic
63C2×C4×C22⋊D5C2211yescharacteristic
64C2×C4×C22⋊D5C2211yescharacteristic, complemented
65C2×C4×C22⋊D5C2211yescharacteristic, complemented
66C2×C4×C22⋊D5C2211yescharacteristic, complemented
67C22×#685C2211yescharacteristic
68C22×#685C2211yescharacteristic
69C22×#685C2211yescharacteristic, complemented
70#65879—28no—
71C2×#4039C2211yescharacteristic, complemented
72C2×#4038C2211yescharacteristic, complemented
73C2×#4027C2211yescharacteristic
74C2×#4027C2211yescharacteristic, complemented
75C2×D5×C22⋊C4C2211yescharacteristic
76C2×D5×C22⋊C4C2211yescharacteristic, complemented
77C2×C4×D20C2211yescharacteristic, complemented
78C2×#4018C2211yescharacteristic, complemented
79#65536C2211yescharacteristic, complemented
80#65520C2211yescharacteristic, complemented
81#65520C2211yescharacteristic, complemented
82#65519C2211yescharacteristic, complemented
83#65512C2211yescharacteristic
84#65512C2211yescharacteristic
85#65512C2211yescharacteristic
86#65512C2211yescharacteristic
87#65512C2211yescharacteristic, complemented
88#65512C2211yescharacteristic, complemented
89#65511C2211yescharacteristic, complemented
90#65511C2211yescharacteristic, complemented
91#65511C2211yescharacteristic, complemented
92#65511C2211yescharacteristic, complemented
93#65510C2211yescharacteristic, complemented
94#65509C2211yescharacteristic
95#65509C2211yescharacteristic
96#65509C2211yescharacteristic, complemented
97#65509C2211yescharacteristic, complemented
98#65509C2211yescharacteristic, complemented
99#65509C2211yescharacteristic, complemented
100#65502C2211yescharacteristic
101#65502C2211yescharacteristic
102#65502C2211yescharacteristic
103#65502C2211yescharacteristic
104#65502C2211yescharacteristic
105#65502C2211yescharacteristic, complemented
106#65502C2211yescharacteristic, complemented
107#65502C2211yescharacteristic, complemented
108#65502C2211yescharacteristic, complemented
109#65502C2211yescharacteristic, complemented
110#65502C2211yescharacteristic, complemented
111#65502C2211yescharacteristic, complemented
112#65502C2211yescharacteristic, complemented
113#65502C2211yescharacteristic, complemented
114#65501C2211yescharacteristic, complemented
115#65500C2211yescharacteristic, complemented
116#65499C2211yescharacteristic, complemented
117#65499C2211yescharacteristic, complemented
118#65499C2211yescharacteristic, complemented
119#65499C2211yescharacteristic, complemented
120C4×C22⋊Dic5C2211yescharacteristic, complemented
121C4×C22⋊Dic5C2211yescharacteristic, complemented
122C4×C22⋊Dic5C2211yescharacteristic, complemented
123C2×#3963C2211yescharacteristic, complemented
124C2×#3963C2211yescharacteristic, complemented
125#65283C2211yescharacteristic, complemented
126#65283C2211yescharacteristic, complemented
127#65283C2211yescharacteristic, complemented
128#65281C2211yescharacteristic, complemented
129#65280C2211yescharacteristic, complemented
130#65279C2211yescharacteristic, complemented
131#65279C2211yescharacteristic, complemented
132#65278C2211yescharacteristic, complemented
133#65278C2211yescharacteristic, complemented
134#65278C2211yescharacteristic, complemented
135#65278C2211yescharacteristic, complemented
136#65278C2211yescharacteristic, complemented
137#65276C2211yescharacteristic, complemented
138#65276C2211yescharacteristic, complemented
139#65275C2211yescharacteristic, complemented
140#65273C2211yescharacteristic, complemented
141#65271C2211yescharacteristic, complemented
142#65270C2211yescharacteristic, complemented
143#65270C2211yescharacteristic, complemented
144#65267C2211yescharacteristic, complemented
145#65267C2211yescharacteristic, complemented
146#65267C2211yescharacteristic, complemented
147#65250C2211yescharacteristic
148#65250C2211yescharacteristic
149#65250C2211yescharacteristic, complemented
150#65249C2211yescharacteristic
151#65249C2211yescharacteristic
152#65249C2211yescharacteristic, complemented
153#65248C2211yescharacteristic, complemented
154#65247C2211yescharacteristic
155#65246C2211yescharacteristic, complemented
156#65246C2211yescharacteristic, complemented
157#65245C2211yescharacteristic
158#65245C2211yescharacteristic
159#65245C2211yescharacteristic, complemented
160#65245C2211yescharacteristic, complemented
161#65245C2211yescharacteristic, complemented
162#65245C2211yescharacteristic, complemented
163#65245C2211yescharacteristic, complemented
164#65244C2211yescharacteristic
165#65244C2211yescharacteristic, complemented
166#65242C2211yescharacteristic, complemented
167#65242C2211yescharacteristic, complemented
168#65241C2211yescharacteristic, complemented
169#65240C2211yescharacteristic, complemented
170#65240C2211yescharacteristic, complemented
171#65239C2211yescharacteristic, complemented
172#65239C2211yescharacteristic, complemented
173#65238C2211yescharacteristic, complemented
174#65237C2211yescharacteristic, complemented
175#65235C2211yescharacteristic, complemented
176#65233C2211yescharacteristic, complemented
177#65233C2211yescharacteristic, complemented
178#65233C2211yescharacteristic, complemented
179#65233C2211yescharacteristic, complemented
180#65233C2211yescharacteristic, complemented
181#65232C2211yescharacteristic, complemented
182#65231C2211yescharacteristic, complemented
183#65229C2211yescharacteristic, complemented
184#65229C2211yescharacteristic, complemented
185#65229C2211yescharacteristic, complemented
186#65226C2211yescharacteristic, complemented
187#65225C2211yescharacteristic, complemented
188#65222C2211yescharacteristic, complemented
189#35352—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C2×C5×#41—24no—
194C2×C5×#41—42no—
195C2×C5×#41—42no—
196C22×C5×Q8C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C22×C5×D4C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C23×C4×C5—24no—
205C23×C4×C5—42no—
206C23×C4×C5—42no—
207C23×C4×C5C2311yescharacteristic
208C23×C4×C5C2311yescharacteristic
209C23×C4×C5C2311yescharacteristic
210C23×C4×C5C2311yescharacteristic
211C23×C4×C5C2311yescharacteristic
212C23×C4×C5C2311yescharacteristic
213C23×C4×C5C2311yescharacteristic
214C23×C4×C5C2311yescharacteristic
215C22×C22⋊D5—24no—
216C22×C22⋊D5—42no—
217C22×C22⋊D5—42no—
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C22×C22⋊D5C2311yescharacteristic
221C22×C22⋊D5C2311yescharacteristic
222C22×C22⋊D5C2311yescharacteristic
223C22×C22⋊D5C2311yescharacteristic
224C22×C22⋊D5C2311yescharacteristic
225C22×C22⋊D5C2311yescharacteristic
226C22×C22⋊D5C2311yescharacteristic
227C22×C22⋊D5C2311yescharacteristic
228C22×C22⋊D5C2311yescharacteristic
229C23×Dic5C2311yescharacteristic
230C23×Dic5C2311yescharacteristic
231C23×Dic5C2311yescharacteristic
232C23×Dic5C2311yescharacteristic
233C2×D4×D5—24no—
234C2×D4×D5—24no—
235C2×D4×D5—24no—
236C22×D20C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×C4×D5C2311yescharacteristic
242C5×#123—24no—
243C5×#123—24no—
244C5×C22⋊Q8—24no—
245C5×C22⋊Q8—24no—
246C5×#121—24no—
247C5×#121—24no—
248C5×#120—24no—
249C5×#120—24no—
250C4×C5×D4—24no—
251C4×C5×D4—24no—
252C4×C5×D4—24no—
253C4×C5×D4D418yescomplemented
254C5×#117—24no—
255C2×C5×C4⋊C4C2311yescharacteristic
256C2×C5×C4⋊C4C2311yescharacteristic
257C2×C5×C4⋊C4C2311yescharacteristic
258C2×C5×C4⋊C4C2311yescharacteristic
259C2×C5×C4⋊C4C2311yescharacteristic
260C2×C5×C4⋊C4C2311yescharacteristic
261C2×C5×C22⋊C4C2311yescharacteristic
262C2×C5×C22⋊C4C2311yescharacteristic
263C2×C5×C22⋊C4C2311yescharacteristic
264C2×C5×C22⋊C4C2311yescharacteristic
265C2×C5×C22⋊C4C2311yescharacteristic
266C2×C5×C22⋊C4C2311yescharacteristic
267C2×C5×C22⋊C4C2311yescharacteristic
268C2×C5×C22⋊C4C2311yescharacteristic
269C2×C5×C22⋊C4C2311yescharacteristic
270C2×C5×C22⋊C4C2311yescharacteristic
271C2×C42×C5C2311yescharacteristic
272C2×C42×C5C2311yescharacteristic
273#4099—24no—
274C2×C22⋊Dic5—42no—
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285C2×C22⋊Dic5C2311yescharacteristic
286C2×C22⋊Dic5C2311yescharacteristic
287C2×C22⋊Dic5C2311yescharacteristic
288C2×C22⋊Dic5C2311yescharacteristic
289C2×C22⋊Dic5C2311yescharacteristic
290C2×C22⋊Dic5C2311yescharacteristic
291C2×C22⋊Dic5C2311yescharacteristic
292C2×C22⋊Dic5C2311yescharacteristic
293C2×C22⋊Dic5C2311yescharacteristic
294C2×C22⋊Dic5C2311yescharacteristic
295C2×C22⋊Dic5C2311yescharacteristic
296C2×C22⋊Dic5C2311yescharacteristic
297C2×C22⋊Dic5C2311yescharacteristic
298#4092—42no—
299#4085—24no—
300#4084—42no—
301#4084—42no—
302#4084—42no—
303#4083—24no—
304#4083—42no—
305#4083—42no—
306#4083—42no—
307#4081—42no—
308D4×Dic5—24no—
309C4×C22⋊D5—24no—
310C4×C22⋊D5—24no—
311C4×C22⋊D5—42no—
312C4×C22⋊D5—42no—
313C2×#685—24no—
314C2×#685—24no—
315C2×#685—42no—
316C2×#685C2311yescharacteristic
317C2×#685C2311yescharacteristic
318C2×#685C2311yescharacteristic
319C2×#685C2311yescharacteristic
320C2×#685C2311yescharacteristic
321C2×#685C2311yescharacteristic
322C2×#685C2311yescharacteristic
323C2×#685C2311yescharacteristic
324C2×#685C2311yescharacteristic
325C2×#685C2311yescharacteristic
326C2×#685C2311yescharacteristic
327C2×#685C2311yescharacteristic
328C2×#685C2311yescharacteristic
329C2×#685C2311yescharacteristic
330C2×#685C2311yescharacteristic
331C2×#685C2311yescharacteristic
332C2×#685C2311yescharacteristic
333C2×#685C2311yescharacteristic
334C2×#685C2311yescharacteristic
335C2×#685C2311yescharacteristic
336C2×#685C2311yescharacteristic
337C2×#685C2311yescharacteristic
338C2×#685C2311yescharacteristic
339C2×C4⋊Dic5C2311yescharacteristic
340C2×C4⋊Dic5C2311yescharacteristic
341C2×C4⋊Dic5C2311yescharacteristic
342C2×C4⋊Dic5C2311yescharacteristic
343C2×C4⋊Dic5C2311yescharacteristic
344C2×#683C2311yescharacteristic
345C2×#683C2311yescharacteristic
346C2×#683C2311yescharacteristic
347C2×#683C2311yescharacteristic
348C2×#683C2311yescharacteristic
349C2×#683C2311yescharacteristic
350C2×#683C2311yescharacteristic
351C2×#683C2311yescharacteristic
352C2×#683C2311yescharacteristic
353C2×C4×Dic5C2311yescharacteristic
354C2×C4×Dic5C2311yescharacteristic
355C2×C4×Dic5C2311yescharacteristic
356C2×C4×Dic5C2311yescharacteristic
357C2×C4×Dic5C2311yescharacteristic
358#4039—24no—
359#4038—24no—
360#4027—24no—
361#4027—24no—
362D5×C22⋊C4—24no—
363D5×C22⋊C4—24no—
364C4×D20—24no—
365#4018—24no—
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#525D511yescharacteristic, complemented
399C2×#518—51no—
400#2609—51no—
401#2600—51no—
402#2598—51no—
403#2598—51no—
404#2535—51no—
405#2534—51no—
406#2477—51no—
407#2471—51no—
408#2464—51no—
409#2463—51no—
410#2457—51no—
411#2456—51no—
412#2450—51no—
413#2444—51no—
414#2437—51no—
415#2424—51no—
416#2424—51no—
417#2418—51no—
418#2418—51no—
419#2410—51no—
420#2410—51no—
421#2407—51no—
422#2404—51no—
423#2403—51no—
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120—51no—
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—22no—
433C24×C5—22no—
434C24×C5—41no—
435C24×C5—41no—
436C24×C5C2411yescharacteristic
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C24×C5C2411yescharacteristic
440C24×C5C2411yescharacteristic
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—22no—
445C23×D5—22no—
446C23×D5—41no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5—41no—
454C23×D5#4114yescomplemented
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C5×#41—416no—
459C2×C5×Q8—22no—
460C2×C5×Q8—22no—
461C2×C5×Q8—41no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—22no—
465C2×C5×D4—22no—
466C2×C5×D4—22no—
467C2×C5×D4—22no—
468C2×C5×D4—22no—
469C2×C5×D4—22no—
470C2×C5×D4—22no—
471C2×C5×D4—22no—
472C2×C5×D4—22no—
473C2×C5×D4—22no—
474C2×C5×D4—22no—
475C2×C5×D4—22no—
476C2×C5×D4—22no—
477C2×C5×D4—41no—
478C2×C5×D4—41no—
479C2×C5×D4—41no—
480C2×C5×D4—41no—
481C2×C5×D4—41no—
482C2×C5×D4C2×D414yes—
483C22×C4×C5—22no—
484C22×C4×C5—22no—
485C22×C4×C5—22no—
486C22×C4×C5—22no—
487C22×C4×C5—22no—
488C22×C4×C5—22no—
489C22×C4×C5—22no—
490C22×C4×C5—22no—
491C22×C4×C5—22no—
492C22×C4×C5—22no—
493C22×C4×C5—22no—
494C22×C4×C5—41no—
495C22×C4×C5—41no—
496C22×C4×C5—41no—
497C22×C4×C5—41no—
498C22×C4×C5—41no—
499C22×C4×C5—41no—
500C22×C4×C5—41no—
501C22×C4×C5—41no—
502C22×C4×C5—41no—
503C22×C4×C5—41no—
504C22×C4×C5—41no—
505C22×C4×C5—416no—
506C22×C4×C5C2×D414yes—
507C22×C4×C5C2×D414yescomplemented
508C22×C4×C5C2411yescharacteristic
509C22×C4×C5C2411yescharacteristic
510C22×C4×C5C2411yescharacteristic
511C22×C4×C5C2411yescharacteristic
512C22×C4×C5C2411yescharacteristic
513C22×C4×C5C2411yescharacteristic
514C22×C4×C5C2411yescharacteristic
515C22×C4×C5C2411yescharacteristic
516C22×C4×C5C2411yescharacteristic
517C22×C4×C5C2411yescharacteristic
518C2×C22⋊D5—22no—
519C2×C22⋊D5—22no—
520C2×C22⋊D5—22no—
521C2×C22⋊D5—22no—
522C2×C22⋊D5—22no—
523C2×C22⋊D5—22no—
524C2×C22⋊D5—22no—
525C2×C22⋊D5—22no—
526C2×C22⋊D5—22no—
527C2×C22⋊D5—22no—
528C2×C22⋊D5—22no—
529C2×C22⋊D5—22no—
530C2×C22⋊D5—22no—
531C2×C22⋊D5—22no—
532C2×C22⋊D5—22no—
533C2×C22⋊D5—22no—
534C2×C22⋊D5—22no—
535C2×C22⋊D5—22no—
536C2×C22⋊D5—22no—
537C2×C22⋊D5—22no—
538C2×C22⋊D5—41no—
539C2×C22⋊D5—41no—
540C2×C22⋊D5—41no—
541C2×C22⋊D5—41no—
542C2×C22⋊D5—41no—
543C2×C22⋊D5—41no—
544C2×C22⋊D5—41no—
545C2×C22⋊D5—41no—
546C2×C22⋊D5—41no—
547C2×C22⋊D5—41no—
548C2×C22⋊D5—41no—
549C2×C22⋊D5—41no—
550C2×C22⋊D5—416no—
551C2×C22⋊D5#4114yescomplemented
552C22×Dic5—22no—
553C22×Dic5—22no—
554C22×Dic5—22no—
555C22×Dic5—22no—
556C22×Dic5—41no—
557C22×Dic5—41no—
558C22×Dic5—41no—
559C22×Dic5—41no—
560C22×Dic5—41no—
561C22×Dic5—41no—
562C22×Dic5—41no—
563C22×Dic5—41no—
564C22×Dic5C2411yescharacteristic
565C22×Dic5C2411yescharacteristic
566C22×Dic5C2411yescharacteristic
567C22×Dic5C2411yescharacteristic
568C22×Dic5C2411yescharacteristic
569C22×Dic5C2411yescharacteristic
570C22×Dic5C2411yescharacteristic
571C22×Dic5C2411yescharacteristic
572C22×Dic5C2411yescharacteristic
573C22×Dic5C2411yescharacteristic
574C22×Dic5C2411yescharacteristic
575C22×Dic5C2411yescharacteristic
576C22×Dic5C2411yescharacteristic
577D4×D5—232no—
578C2×D20—22no—
579C2×D20—22no—
580C2×D20—22no—
581C2×C4×D5—22no—
582C2×C4×D5—22no—
583C2×C4×D5—22no—
584C2×C4×D5—22no—
585C2×C4×D5—22no—
586C2×C4×D5—22no—
587C2×C4×D5—22no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5—41no—
592C2×C4×D5—41no—
593C2×C4×D5—41no—
594C2×C4×D5—41no—
595C2×C4×D5—41no—
596C5×C4⋊C4—22no—
597C5×C4⋊C4—22no—
598C5×C4⋊C4—22no—
599C5×C4⋊C4—22no—
600C5×C4⋊C4—22no—
601C5×C4⋊C4C2×D414yescomplemented
602C5×C22⋊C4—22no—
603C5×C22⋊C4—22no—
604C5×C22⋊C4—22no—
605C5×C22⋊C4—22no—
606C5×C22⋊C4—22no—
607C5×C22⋊C4—22no—
608C5×C22⋊C4—22no—
609C5×C22⋊C4—22no—
610C5×C22⋊C4C2×D414yes—
611C5×C22⋊C4C2×D414yescomplemented
612C42×C5—22no—
613C42×C5C2×D414yescomplemented
614C22⋊Dic5—22no—
615C22⋊Dic5—22no—
616C22⋊Dic5—22no—
617C22⋊Dic5—22no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—22no—
624C22⋊Dic5—22no—
625C22⋊Dic5—41no—
626C22⋊Dic5—41no—
627C22⋊Dic5—41no—
628C22⋊Dic5—41no—
629C22⋊Dic5—41no—
630C22⋊Dic5—41no—
631C22⋊Dic5—41no—
632C22⋊Dic5—41no—
633C22⋊Dic5—41no—
634C22⋊Dic5—41no—
635C22⋊Dic5—41no—
636C22⋊Dic5—41no—
637#685—22no—
638#685—22no—
639#685—22no—
640#685—22no—
641#685—22no—
642#685—22no—
643#685—22no—
644#685—22no—
645#685—22no—
646#685—22no—
647#685—22no—
648#685—22no—
649#685—22no—
650#685—22no—
651#685—41no—
652#685—41no—
653#685—41no—
654#685—41no—
655#685—41no—
656#685—41no—
657#685—41no—
658#685—41no—
659#685—41no—
660C4⋊Dic5—22no—
661C4⋊Dic5—41no—
662C4⋊Dic5—41no—
663C4⋊Dic5—41no—
664C4⋊Dic5—41no—
665#683—22no—
666#683—22no—
667#683—22no—
668#683—22no—
669#683—41no—
670#683—41no—
671#683—41no—
672#683—41no—
673#683—41no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—22no—
677C4×Dic5—41no—
678C4×Dic5—41no—
679C22×#41C2×D511yescharacteristic, complemented
680C23×D4—51no—
681C23×D4—51no—
682C24×C4C2×D511yescharacteristic, complemented
683#525—28no—
684C2×#123—51no—
685C2×#123C2×D511yescharacteristic, complemented
686C2×#123C2×D511yescharacteristic, complemented
687C2×C22⋊Q8—51no—
688C2×C22⋊Q8C2×D511yescharacteristic, complemented
689C2×C22⋊Q8C2×D511yescharacteristic, complemented
690C2×#121—51no—
691C2×#121—51no—
692C2×#121—51no—
693C2×#121—51no—
694C2×#121C2×D511yescharacteristic
695C2×#121C2×D511yescharacteristic, complemented
696C2×#120—51no—
697C2×#120—51no—
698C2×#120—51no—
699C2×#120—51no—
700C2×#120—51no—
701C2×#120C2×D511yescharacteristic
702C2×#120C2×D511yescharacteristic, complemented
703#518—108no—
704C2×C4×D4—51no—
705C2×C4×D4—51no—
706C2×C4×D4—51no—
707C2×C4×D4—51no—
708C2×C4×D4—51no—
709C2×C4×D4—51no—
710C2×C4×D4—51no—
711C2×C4×D4—51no—
712C2×C4×D4—51no—
713C2×C4×D4C2×D511yescharacteristic
714C2×C4×D4C2×D511yescharacteristic, complemented
715C2×C4×D4C2×D511yescharacteristic, complemented
716C2×C4×D4C2×D511yescharacteristic, complemented
717C2×#117—51no—
718C2×#117—51no—
719C2×#117C2×D511yescharacteristic, complemented
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4—51no—
725C22×C22⋊C4—51no—
726#400—51no—
727#400—51no—
728#399—51no—
729#399—51no—
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
734#396—51no—
735#396—51no—
736#396—51no—
737#396—51no—
738#394—51no—
739#394—51no—
740#394—51no—
741#394—51no—
742#394—51no—
743#394—51no—
744#394—51no—
745#394—51no—
746#394—51no—
747#393—51no—
748#393—51no—
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392—51no—
757#392—51no—
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388—51no—
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386—51no—
803#386—51no—
804#386—51no—
805#386—51no—
806#386—51no—
807#386—51no—
808#385—51no—
809#385—51no—
810#385—51no—
811#385—51no—
812#385—51no—
813#385—51no—
814#385—51no—
815#385—51no—
816#385—51no—
817#385—51no—
818#385—51no—
819#385—51no—
820#383—51no—
821#382—51no—
822#381—51no—
823#381—51no—
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379—51no—
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—28no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—21no—
860C23×C5—21no—
861C23×C5—21no—
862C23×C5—21no—
863C23×C5—21no—
864C23×C5—21no—
865C23×C5—21no—
866C23×C5—44no—
867C23×C5—44no—
868C23×C5—44no—
869C23×C5—44no—
870C23×C5—44no—
871C23×C5—44no—
872C23×C5C22×D412yes—
873C23×C5C22×D412yes—
874C23×C5C2×#4112yes—
875C23×C5C2×#4112yes—
876C23×C5H(5,𝔽2)12yes—
877C23×C5H(5,𝔽2)12yes—
878C23×C5C2511yescharacteristic
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—21no—
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—21no—
897C22×D5—28no—
898C22×D5—28no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—82no—
902C22×D5—82no—
903C22×D5—82no—
904C22×D5—82no—
905C22×D5—82no—
906C22×D5—82no—
907C22×D5—82no—
908C22×D5—82no—
909C22×D5—82no—
910C22×D5—82no—
911C22×D5C2×#4112yes—
912C22×D5C2×#4112yes—
913C22×D5C2×#4112yes—
914C5×Q8—44no—
915C5×D4—28no—
916C5×D4—44no—
917C5×D4—44no—
918C5×D4—44no—
919C5×D4—44no—
920C5×D4—44no—
921C5×D4—44no—
922C2×C4×C5—28no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—21no—
926C2×C4×C5—21no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—44no—
948C2×C4×C5—44no—
949C2×C4×C5—44no—
950C2×C4×C5—44no—
951C2×C4×C5—44no—
952C2×C4×C5—44no—
953C2×C4×C5—44no—
954C2×C4×C5C22×D412yes—
955C2×C4×C5C22×D412yes—
956C2×C4×C5C22×D412yes—
957C2×C4×C5C22×D412yes—
958C2×C4×C5C22×D412yes—
959C2×C4×C5H(5,𝔽2)12yes—
960C22⋊D5—28no—
961C22⋊D5—28no—
962C22⋊D5—44no—
963C22⋊D5—44no—
964C22⋊D5—44no—
965C22⋊D5—44no—
966C22⋊D5—44no—
967C22⋊D5—44no—
968C22⋊D5—82no—
969C22⋊D5—82no—
970C22⋊D5—82no—
971C2×Dic5—21no—
972C2×Dic5—21no—
973C2×Dic5—21no—
974C2×Dic5—21no—
975C2×Dic5—21no—
976C2×Dic5—21no—
977C2×Dic5—21no—
978C2×Dic5—21no—
979C2×Dic5—21no—
980C2×Dic5—21no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—21no—
1002C2×Dic5—21no—
1003C2×Dic5—21no—
1004C2×Dic5—21no—
1005C2×Dic5—21no—
1006C2×Dic5—21no—
1007C2×Dic5—21no—
1008C2×Dic5—21no—
1009C2×Dic5—44no—
1010C2×Dic5—82no—
1011C2×Dic5—82no—
1012C2×Dic5—82no—
1013C2×Dic5C2×#4112yes—
1014D20—28no—
1015C4×D5—28no—
1016C4×D5—82no—
1017C4×D5—82no—
1018C4×D5—82no—
1019C4×D5—82no—
1020C25—51no—
1021C25—51no—
1022C25C22×D511yescharacteristic
1023C2×#41—24no—
1024C2×#41—42no—
1025C2×#41—42no—
1026C22×Q8C22×D511yescharacteristic
1027C22×D4—51no—
1028C22×D4—51no—
1029C22×D4—51no—
1030C22×D4—51no—
1031C22×D4—51no—
1032C22×D4—51no—
1033C22×D4—51no—
1034C22×D4—51no—
1035C22×D4—51no—
1036C22×D4—51no—
1037C22×D4—51no—
1038C22×D4—51no—
1039C22×D4—104no—
1040C22×D4—104no—
1041C22×D4—104no—
1042C22×D4—104no—
1043C22×D4—202no—
1044C22×D4—202no—
1045C22×D4C22×D511yescharacteristic
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C22×D4C22×D511yescharacteristic
1050C22×D4C22×D511yescharacteristic
1051C22×D4C22×D511yescharacteristic
1052C23×C4—24no—
1053C23×C4—42no—
1054C23×C4—42no—
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061C23×C4—51no—
1062C23×C4—51no—
1063C23×C4—51no—
1064C23×C4C22×D511yescharacteristic
1065C23×C4C22×D511yescharacteristic
1066C23×C4C22×D511yescharacteristic
1067C23×C4C22×D511yescharacteristic
1068C23×C4C22×D511yescharacteristic
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#123—24no—
1073#123—24no—
1074#123—202no—
1075C22⋊Q8—24no—
1076C22⋊Q8—24no—
1077C22⋊Q8—202no—
1078#121—24no—
1079#121—24no—
1080#121—104no—
1081#121—202no—
1082#121—202no—
1083#121—202no—
1084#120—24no—
1085#120—24no—
1086#120—104no—
1087#120—104no—
1088#120—202no—
1089#120—202no—
1090#120—202no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—104no—
1095C4×D4—104no—
1096C4×D4—104no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—202no—
1102C4×D4—202no—
1103C4×D4C22⋊D518yescomplemented
1104#117—24no—
1105#117—104no—
1106#117—104no—
1107C2×C4⋊C4—51no—
1108C2×C4⋊C4—51no—
1109C2×C4⋊C4—51no—
1110C2×C4⋊C4—51no—
1111C2×C4⋊C4—51no—
1112C2×C4⋊C4—51no—
1113C2×C4⋊C4—51no—
1114C2×C4⋊C4—51no—
1115C2×C4⋊C4—51no—
1116C2×C4⋊C4—51no—
1117C2×C4⋊C4—51no—
1118C2×C4⋊C4—51no—
1119C2×C4⋊C4—51no—
1120C2×C4⋊C4—51no—
1121C2×C4⋊C4C22×D511yescharacteristic
1122C2×C4⋊C4C22×D511yescharacteristic
1123C2×C4⋊C4C22×D511yescharacteristic
1124C2×C4⋊C4C22×D511yescharacteristic
1125C2×C4⋊C4C22×D511yescharacteristic
1126C2×C4⋊C4C22×D511yescharacteristic
1127C2×C22⋊C4—51no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—51no—
1169C2×C22⋊C4—51no—
1170C2×C22⋊C4—51no—
1171C2×C22⋊C4—51no—
1172C2×C22⋊C4—51no—
1173C2×C22⋊C4—104no—
1174C2×C22⋊C4—104no—
1175C2×C22⋊C4—104no—
1176C2×C22⋊C4—104no—
1177C2×C22⋊C4—202no—
1178C2×C22⋊C4—202no—
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic
1185C2×C22⋊C4C22×D511yescharacteristic
1186C2×C22⋊C4C22×D511yescharacteristic
1187C2×C22⋊C4C22×D511yescharacteristic
1188C2×C22⋊C4C22×D511yescharacteristic
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42C22×D511yescharacteristic
1195C2×C42C22×D511yescharacteristic
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95—51no—
1216#95—51no—
1217#95—51no—
1218#95—51no—
1219#95—51no—
1220#95—51no—
1221#95—51no—
1222#95—51no—
1223#95—51no—
1224#95—51no—
1225#95—51no—
1226#95—51no—
1227#95—51no—
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—22no—
1241C22×C5—22no—
1242C22×C5—22no—
1243C22×C5—416no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5—41no—
1249C22×C5—41no—
1250C22×C5—41no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5—41no—
1256C22×C5—41no—
1257C22×C5—41no—
1258C22×C5—41no—
1259C22×C5—41no—
1260C22×C5—41no—
1261C22×C5—41no—
1262C22×C5—41no—
1263C22×C5#52514yes—
1264C22×C5C23×D411yescharacteristic
1265C22×C5C22×#4111yescharacteristic
1266C22×C5C22×#4111yescharacteristic
1267C22×C5C2×H(5,𝔽2)11yescharacteristic
1268C22×C5C2×H(5,𝔽2)11yescharacteristic
1269C22×C5C2×H(5,𝔽2)11yescharacteristic
1270C22×C5#58511yescharacteristic
1271C2×D5—22no—
1272C2×D5—22no—
1273C2×D5—22no—
1274C2×D5—22no—
1275C2×D5—22no—
1276C2×D5—22no—
1277C2×D5—22no—
1278C2×D5—22no—
1279C2×D5—22no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—41no—
1283C2×D5—41no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—88no—
1293C2×D5—88no—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
1297C4×C5—22no—
1298C4×C5—22no—
1299C4×C5—22no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304Dic5—22no—
1305Dic5—41no—
1306Dic5—41no—
1307Dic5—41no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—51no—
1325C24—51no—
1326C24—51no—
1327C24—54no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—201no—
1334C24—201no—
1335C24—201no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24C23×D511yescharacteristic
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346#41—416no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—54no—
1371C2×D4—102no—
1372C2×D4—102no—
1373C2×D4—102no—
1374C2×D4—1032no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—102no—
1378C2×D4—102no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—102no—
1384C2×D4—102no—
1385C2×D4—102no—
1386C2×D4—102no—
1387C2×D4—102no—
1388C2×D4—102no—
1389C2×D4—102no—
1390C2×D4—102no—
1391C2×D4—102no—
1392C2×D4—102no—
1393C2×D4—102no—
1394C2×D4—102no—
1395C2×D4—201no—
1396C2×D4—201no—
1397C2×D4—201no—
1398C2×D4—201no—
1399C2×D4—201no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4—2016no—
1408C2×D4C2×C22⋊D514yes—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—41no—
1426C22×C4—41no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—416no—
1432C22×C4—51no—
1433C22×C4—51no—
1434C22×C4—51no—
1435C22×C4—51no—
1436C22×C4—51no—
1437C22×C4—51no—
1438C22×C4—51no—
1439C22×C4—51no—
1440C22×C4—51no—
1441C22×C4—51no—
1442C22×C4—51no—
1443C22×C4—51no—
1444C22×C4—51no—
1445C22×C4—102no—
1446C22×C4—102no—
1447C22×C4—102no—
1448C22×C4—102no—
1449C22×C4—102no—
1450C22×C4—102no—
1451C22×C4—102no—
1452C22×C4—102no—
1453C22×C4—102no—
1454C22×C4—102no—
1455C22×C4—102no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—201no—
1462C22×C4—201no—
1463C22×C4—201no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4C2×C22⋊D514yes—
1473C22×C4C2×C22⋊D514yescomplemented
1474C22×C4C23×D511yescharacteristic
1475C22×C4C23×D511yescharacteristic
1476C22×C4C23×D511yescharacteristic
1477C22×C4C23×D511yescharacteristic
1478C22×C4C23×D511yescharacteristic
1479C22×C4C23×D511yescharacteristic
1480C22×C4C23×D511yescharacteristic
1481C22×C4C23×D511yescharacteristic
1482C22×C4C23×D511yescharacteristic
1483C22×C4C23×D511yescharacteristic
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—102no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—201no—
1495C4⋊C4—201no—
1496C4⋊C4—201no—
1497C4⋊C4—201no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4C2×C22⋊D514yescomplemented
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—22no—
1512C22⋊C4—102no—
1513C22⋊C4—102no—
1514C22⋊C4—102no—
1515C22⋊C4—102no—
1516C22⋊C4—102no—
1517C22⋊C4—102no—
1518C22⋊C4—102no—
1519C22⋊C4—102no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—102no—
1527C22⋊C4—102no—
1528C22⋊C4—102no—
1529C22⋊C4—102no—
1530C22⋊C4—102no—
1531C22⋊C4—102no—
1532C22⋊C4—102no—
1533C22⋊C4—102no—
1534C22⋊C4—102no—
1535C22⋊C4—102no—
1536C22⋊C4—102no—
1537C22⋊C4—201no—
1538C22⋊C4—201no—
1539C22⋊C4—201no—
1540C22⋊C4—201no—
1541C22⋊C4—201no—
1542C22⋊C4—201no—
1543C22⋊C4—201no—
1544C22⋊C4—201no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4C2×C22⋊D514yes—
1559C22⋊C4C2×C22⋊D514yescomplemented
1560C42—22no—
1561C42—102no—
1562C42—102no—
1563C42—102no—
1564C42—201no—
1565C42—201no—
1566C42C2×C22⋊D514yescomplemented
1567C2×C5—24no—
1568C2×C5—42no—
1569C2×C5—42no—
1570C2×C5—42no—
1571C2×C5—81no—
1572C2×C5C2×#52511yescharacteristic
1573C2×C5#348411yescharacteristic
1574C2×C5#348811yescharacteristic
1575C2×C5#349011yescharacteristic
1576C2×C5#350511yescharacteristic
1577C2×C5#351311yescharacteristic
1578C2×C5#351911yescharacteristic
1579D5—42no—
1580D5—42no—
1581D5—42no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—28no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—44no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—52no—
1619C23—52no—
1620C23—52no—
1621C23—108no—
1622C23—101no—
1623C23—101no—
1624C23—101no—
1625C23—101no—
1626C23—101no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—101no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—108no—
1641C23—204no—
1642C23—204no—
1643C23—402no—
1644C23—402no—
1645C23—402no—
1646C23—402no—
1647C23—402no—
1648C23—402no—
1649C23—402no—
1650C23—402no—
1651C23—402no—
1652C23—402no—
1653C23#414412yes—
1654C23D5×#4112yes—
1655C23D5×#4112yes—
1656C23#414912yes—
1657C23C22×C22⋊D512yes—
1658C23C22×C22⋊D512yes—
1659C23C24×D511yescharacteristic
1660Q8—44no—
1661D4—28no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—108no—
1669D4—108no—
1670D4—108no—
1671D4—204no—
1672D4—204no—
1673D4—204no—
1674D4—204no—
1675D4—204no—
1676D4—204no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—28no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—44no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—52no—
1713C2×C4—108no—
1714C2×C4—101no—
1715C2×C4—101no—
1716C2×C4—101no—
1717C2×C4—101no—
1718C2×C4—101no—
1719C2×C4—101no—
1720C2×C4—101no—
1721C2×C4—101no—
1722C2×C4—101no—
1723C2×C4—101no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—101no—
1751C2×C4—101no—
1752C2×C4—204no—
1753C2×C4—402no—
1754C2×C4—402no—
1755C2×C4—402no—
1756C2×C4—402no—
1757C2×C4—402no—
1758C2×C4—402no—
1759C2×C4—402no—
1760C2×C4#414412yes—
1761C2×C4C22×C22⋊D512yes—
1762C2×C4C22×C22⋊D512yes—
1763C2×C4C22×C22⋊D512yes—
1764C2×C4C22×C22⋊D512yes—
1765C2×C4C22×C22⋊D512yes—
1766C5#3535211yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—102no—
1803C22—102no—
1804C22—102no—
1805C22—102no—
1806C22—102no—
1807C22—102no—
1808C22—102no—
1809C22—102no—
1810C22—102no—
1811C22—201no—
1812C22—201no—
1813C22—201no—
1814C22—201no—
1815C22—201no—
1816C22—201no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—408no—
1824C22—408no—
1825C22#6616214yes—
1826C22C2×#414411yescharacteristic
1827C22C2×#414411yescharacteristic
1828C22C2×D5×#4111yescharacteristic
1829C22C2×D5×#4111yescharacteristic
1830C22C2×#414911yescharacteristic
1831C22#6628311yescharacteristic
1832C22C23×C22⋊D511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—22no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—102no—
1844C4—201no—
1845C4—201no—
1846C4—201no—
1847C4—201no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—42no—
1860C2—81no—
1861C2—202no—
1862C2—202no—
1863C2—202no—
1864C2#1061794411yescharacteristic
1865C2#1061794511yescharacteristic
1866C2#1061794611yescharacteristic
1867C2#1061794711yescharacteristic
1868C2#1061914011yescharacteristic
1869C2C2×#6616211yescharacteristic
1870C2#1061917611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC2×C5×#525C2
hypercenterC2×#525D5
hypocenterC5#35352
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×C5×#525C2semidirect
2. C2×#65879C2semidirect
3. #10615828C2semidirect
4. #10615827C2semidirect
5. C4×#4099C2semidirect
6. C2×#65502C2semidirect
7. #10614630C2semidirect
8. #10614627C2semidirect
9. #10614586C2semidirect
10. #10614581C2semidirect
11. #10614549C2semidirect
12. #10614547C2semidirect
13. #10614501C2semidirect
14. #10614496C2semidirect
15. #10614438C2semidirect
16. #10614433C2semidirect
17. #10614389C2semidirect
18. #10614387C2semidirect
19. #10614336C2semidirect
20. #10614335C2semidirect
21. #10614317C2semidirect
22. #10614316C2semidirect
23. #10614150C2semidirect
24. #10614149C2semidirect
25. #10614147C2semidirect
26. #10614145C2semidirect
27. #10614126C2semidirect
28. #10614058C2semidirect
29. #10614055C2semidirect
30. #10614016C2semidirect
31. #10614015C2semidirect
32. C22×C5×#41C22semidirect
33. C24×C4×C5C22semidirect
37. C2×C5×#123C22semidirect
38. C2×C5×#123C22semidirect
39. C2×C5×C22⋊Q8C22semidirect
40. C2×C5×C22⋊Q8C22semidirect
42. C2×C5×#121C22semidirect
44. C2×C5×#120C22semidirect
46. C2×C4×C5×D4C22semidirect
47. C2×C4×C5×D4C22semidirect
48. C2×C4×C5×D4C22semidirect
49. C2×C5×#117C22semidirect
51. C22×C22⋊Dic5C22semidirect
52. C2×#4092C22semidirect
54. C2×#4084C22semidirect
55. C2×#4084C22semidirect
56. C2×#4084C22semidirect
60. C2×#4083C22semidirect
61. C2×#4081C22semidirect
64. C2×C4×C22⋊D5C22semidirect
65. C2×C4×C22⋊D5C22semidirect
66. C2×C4×C22⋊D5C22semidirect
69. C22×#685C22semidirect
71. C2×#4039C22semidirect
72. C2×#4038C22semidirect
74. C2×#4027C22semidirect
76. C2×D5×C22⋊C4C22semidirect
77. C2×C4×D20C22semidirect
78. C2×#4018C22semidirect
79. #65536C22semidirect
80. #65520C22semidirect
81. #65520C22semidirect
82. #65519C22semidirect
87. #65512C22semidirect
88. #65512C22semidirect
89. #65511C22semidirect
90. #65511C22semidirect
91. #65511C22semidirect
92. #65511C22semidirect
93. #65510C22semidirect
96. #65509C22semidirect
97. #65509C22semidirect
98. #65509C22semidirect
99. #65509C22semidirect
105. #65502C22semidirect
106. #65502C22semidirect
107. #65502C22semidirect
108. #65502C22semidirect
109. #65502C22semidirect
110. #65502C22semidirect
111. #65502C22semidirect
112. #65502C22semidirect
113. #65502C22semidirect
114. #65501C22semidirect
115. #65500C22semidirect
116. #65499C22semidirect
117. #65499C22semidirect
118. #65499C22semidirect
119. #65499C22semidirect
120. C4×C22⋊Dic5C22semidirect
121. C4×C22⋊Dic5C22semidirect
122. C4×C22⋊Dic5C22semidirect
123. C2×#3963C22semidirect
124. C2×#3963C22semidirect
125. #65283C22semidirect
126. #65283C22semidirect
127. #65283C22semidirect
128. #65281C22semidirect
129. #65280C22semidirect
130. #65279C22semidirect
131. #65279C22semidirect
132. #65278C22semidirect
133. #65278C22semidirect
134. #65278C22semidirect
135. #65278C22semidirect
136. #65278C22semidirect
137. #65276C22semidirect
138. #65276C22semidirect
139. #65275C22semidirect
140. #65273C22semidirect
141. #65271C22semidirect
142. #65270C22semidirect
143. #65270C22semidirect
144. #65267C22semidirect
145. #65267C22semidirect
146. #65267C22semidirect
149. #65250C22semidirect
152. #65249C22semidirect
153. #65248C22semidirect
155. #65246C22semidirect
156. #65246C22semidirect
159. #65245C22semidirect
160. #65245C22semidirect
161. #65245C22semidirect
162. #65245C22semidirect
163. #65245C22semidirect
165. #65244C22semidirect
166. #65242C22semidirect
167. #65242C22semidirect
168. #65241C22semidirect
169. #65240C22semidirect
170. #65240C22semidirect
171. #65239C22semidirect
172. #65239C22semidirect
173. #65238C22semidirect
174. #65237C22semidirect
175. #65235C22semidirect
176. #65233C22semidirect
177. #65233C22semidirect
178. #65233C22semidirect
179. #65233C22semidirect
180. #65233C22semidirect
181. #65232C22semidirect
182. #65231C22semidirect
183. #65229C22semidirect
184. #65229C22semidirect
185. #65229C22semidirect
186. #65226C22semidirect
187. #65225C22semidirect
188. #65222C22semidirect
253. C4×C5×D4D4semidirect
398. C2×#525D5semidirect
454. C23×D5#41semidirect
507. C22×C4×C5C2×D4semidirect
551. C2×C22⋊D5#41semidirect
601. C5×C4⋊C4C2×D4semidirect
611. C5×C22⋊C4C2×D4semidirect
613. C42×C5C2×D4semidirect
679. C22×#41C2×D5semidirect
682. C24×C4C2×D5semidirect
685. C2×#123C2×D5semidirect
686. C2×#123C2×D5semidirect
688. C2×C22⋊Q8C2×D5semidirect
689. C2×C22⋊Q8C2×D5semidirect
695. C2×#121C2×D5semidirect
702. C2×#120C2×D5semidirect
714. C2×C4×D4C2×D5semidirect
715. C2×C4×D4C2×D5semidirect
716. C2×C4×D4C2×D5semidirect
719. C2×#117C2×D5semidirect
1103. C4×D4C22⋊D5semidirect
1473. C22×C4C2×C22⋊D5semidirect
1503. C4⋊C4C2×C22⋊D5semidirect
1559. C22⋊C4C2×C22⋊D5semidirect
1566. C42C2×C22⋊D5semidirect
1766. C5#35352semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#5252
C2×#658792
#106158282
#106158272
C4×#40992
C2×#655022
#106146302
#106146272
#106145862
#106145812
#106145492
#106145472
#106145012
#106144962
#106144382
#106144332
#106143892
#106143872
#106143362
#106143352
#106143172
#106143162
#106141502
#106141492
#106141472
#106141452
#106141262
#106140582
#106140552
#106140162
#106140152
#353525