Finite Group Databasebeta

← #12272004

Subgroups — #12272004

Order 1280.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D5C211yesmaximal, characteristic, complemented
2C2×#65898C211yesmaximal, characteristic, complemented
3C5×#2318C211yesmaximal, characteristic, complemented
4#10607581C211yesmaximal, characteristic, complemented
5#10607575C211yesmaximal, characteristic, complemented
6#10607271C211yesmaximal, characteristic, complemented
7#10607247C211yesmaximal, characteristic, complemented
8#10607058C211yesmaximal, characteristic, complemented
9#10607052C211yesmaximal, characteristic, complemented
10#10606740C211yesmaximal, characteristic, complemented
11#10606721C211yesmaximal, characteristic, complemented
12#10606619C211yesmaximal, characteristic
13#10606434C211yesmaximal, characteristic, complemented
14#10606425C211yesmaximal, characteristic, complemented
15#10606417C211yesmaximal, characteristic, complemented
16#10606153C211yesmaximal, characteristic, complemented
17#10606144C211yesmaximal, characteristic, complemented
18#10606141C211yesmaximal, characteristic, complemented
19#10606137C211yesmaximal, characteristic, complemented
20#10606048C211yesmaximal, characteristic, complemented
21#10606008C211yesmaximal, characteristic, complemented
22#10605988C211yesmaximal, characteristic, complemented
23#10605976C211yesmaximal, characteristic, complemented
24#10605877C211yesmaximal, characteristic, complemented
25#10605822C211yesmaximal, characteristic, complemented
26#10605780C211yesmaximal, characteristic, complemented
27#10605765C211yesmaximal, characteristic, complemented
28C4×#4028C211yesmaximal, characteristic, complemented
29#10605177C211yesmaximal, characteristic, complemented
30C2×#64957C211yesmaximal, characteristic, complemented
31#10605064C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic
36C2×#4085C2211yescharacteristic
37C2×#4081C2211yescharacteristic
38C2×D4×Dic5C2211yescharacteristic
39C2×#4076C2211yescharacteristic
40C2×#4075C2211yescharacteristic, complemented
41C2×C4×C22⋊D5C2211yescharacteristic
42C2×C4×C22⋊D5C2211yescharacteristic
43C2×C4×C22⋊D5C2211yescharacteristic, complemented
44C22×#685C2211yescharacteristic
45C22×#685C2211yescharacteristic
46C22×C4⋊Dic5C2211yescharacteristic, complemented
47C2×#4070C2211yescharacteristic, complemented
48C22×#683C2211yescharacteristic, complemented
49#65898—28no—
50C4×D4×D5—28no—
51C2×#4043C2211yescharacteristic
52C2×#4043C2211yescharacteristic, complemented
53C2×#4042C2211yescharacteristic, complemented
54C2×#4039C2211yescharacteristic
55C2×D5×C4⋊C4C2211yescharacteristic
56C2×#4035C2211yescharacteristic, complemented
57C2×#4032C2211yescharacteristic
58C2×#4032C2211yescharacteristic, complemented
59C2×#4032C2211yescharacteristic, complemented
60C2×#4029C2211yescharacteristic, complemented
61C2×#4028C2211yescharacteristic
62C2×#4028C2211yescharacteristic
63C2×#4027C2211yescharacteristic
64C2×#4027C2211yescharacteristic
65C2×D5×C22⋊C4C2211yescharacteristic
66C2×D5×C22⋊C4C2211yescharacteristic
67C2×#4025C2211yescharacteristic, complemented
68C2×#4024C2211yescharacteristic, complemented
69C2×#4022C2211yescharacteristic, complemented
70C2×C4×D20C2211yescharacteristic
71C2×C4×D20C2211yescharacteristic
72C2×C4×D20C2211yescharacteristic, complemented
73C2×C42×D5C2211yescharacteristic
74C2×#4016C2211yescharacteristic, complemented
75C5×#388C2211yescharacteristic, complemented
76C5×#388C2211yescharacteristic, complemented
77C5×#387C2211yescharacteristic, complemented
78C5×#387C2211yescharacteristic, complemented
79C5×#386C2211yescharacteristic
80C5×#386C2211yescharacteristic
81C5×#385C2211yescharacteristic, complemented
82C5×#385C2211yescharacteristic, complemented
83C5×#383C2211yescharacteristic, complemented
84C5×#382C2211yescharacteristic, complemented
85C5×#381C2211yescharacteristic, complemented
86C5×#380C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88C2×C5×#95C2211yescharacteristic, complemented
89#65502C2211yescharacteristic
90#65502C2211yescharacteristic, complemented
91#65501C2211yescharacteristic, complemented
92C2×#3963C2211yescharacteristic, complemented
93#65283C2211yescharacteristic, complemented
94#65283C2211yescharacteristic, complemented
95#65283C2211yescharacteristic, complemented
96#65283C2211yescharacteristic, complemented
97#65280C2211yescharacteristic, complemented
98#65280C2211yescharacteristic, complemented
99#65280C2211yescharacteristic, complemented
100#65276C2211yescharacteristic
101#65276C2211yescharacteristic
102#65276C2211yescharacteristic
103#65276C2211yescharacteristic, complemented
104#65274C2211yescharacteristic, complemented
105#65274C2211yescharacteristic, complemented
106#65272C2211yescharacteristic, complemented
107#65250C2211yescharacteristic
108#65250C2211yescharacteristic
109#65250C2211yescharacteristic
110#65250C2211yescharacteristic, complemented
111#65249C2211yescharacteristic
112#65247C2211yescharacteristic
113#65247C2211yescharacteristic, complemented
114#65244C2211yescharacteristic
115#65244C2211yescharacteristic
116#65244C2211yescharacteristic
117#65244C2211yescharacteristic
118#65242C2211yescharacteristic, complemented
119#65242C2211yescharacteristic, complemented
120#65242C2211yescharacteristic, complemented
121#65239C2211yescharacteristic, complemented
122#65239C2211yescharacteristic, complemented
123#65239C2211yescharacteristic, complemented
124#65239C2211yescharacteristic, complemented
125#65232C2211yescharacteristic, complemented
126#65232C2211yescharacteristic, complemented
127#65229C2211yescharacteristic, complemented
128#65229C2211yescharacteristic, complemented
129C4×#685C2211yescharacteristic
130C4×#685C2211yescharacteristic, complemented
131#65217C2211yescharacteristic, complemented
132#65217C2211yescharacteristic, complemented
133#64966C2211yescharacteristic, complemented
134#64966C2211yescharacteristic, complemented
135#64966C2211yescharacteristic, complemented
136#64963C2211yescharacteristic, complemented
137#64963C2211yescharacteristic, complemented
138#64963C2211yescharacteristic, complemented
139#64962C2211yescharacteristic, complemented
140#64961C2211yescharacteristic
141#64961C2211yescharacteristic
142#64961C2211yescharacteristic
143#64960C2211yescharacteristic
144#64959C2211yescharacteristic, complemented
145#64959C2211yescharacteristic, complemented
146#64959C2211yescharacteristic, complemented
147#64959C2211yescharacteristic, complemented
148#64957C2211yescharacteristic
149#64957C2211yescharacteristic
150#64957C2211yescharacteristic
151#64957C2211yescharacteristic
152#64957C2211yescharacteristic
153#64957C2211yescharacteristic
154#64957C2211yescharacteristic
155#64957C2211yescharacteristic
156#64957C2211yescharacteristic
157#64957C2211yescharacteristic
158#64957C2211yescharacteristic, complemented
159#64957C2211yescharacteristic, complemented
160#64957C2211yescharacteristic, complemented
161#64957C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163#64957C2211yescharacteristic, complemented
164#64957C2211yescharacteristic, complemented
165#64957C2211yescharacteristic, complemented
166#64957C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64954C2211yescharacteristic
169#64954C2211yescharacteristic
170#64954C2211yescharacteristic
171#64954C2211yescharacteristic
172#64954C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176#64950C2211yescharacteristic, complemented
177#64950C2211yescharacteristic, complemented
178#64950C2211yescharacteristic, complemented
179#64948C2211yescharacteristic, complemented
180#64945C2211yescharacteristic, complemented
181#64942C2211yescharacteristic, complemented
182#64942C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64942C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64942C2211yescharacteristic, complemented
187#64942C2211yescharacteristic, complemented
188#64942C2211yescharacteristic, complemented
189#34991—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C23×Dic5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C2×D4×D5—24no—
206C2×D4×D5—24no—
207C2×D4×D5—24no—
208C22×D20C2311yescharacteristic
209C22×D20C2311yescharacteristic
210C22×D20C2311yescharacteristic
211C22×D20C2311yescharacteristic
212C22×C4×D5—24no—
213C22×C4×D5—24no—
214C22×C4×D5—42no—
215C22×C4×D5—42no—
216C22×C4×D5—42no—
217C22×C4×D5—42no—
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×Dic10C2311yescharacteristic
229C4×C5×D4D418yescomplemented
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
232C2×C5×C4⋊C4C2311yescharacteristic
233C2×C5×C4⋊C4C2311yescharacteristic
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C42×C5C2311yescharacteristic
244C2×C42×C5C2311yescharacteristic
245C2×C42×C5C2311yescharacteristic
246C2×C22⋊Dic5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252#4085—24no—
253#4081—24no—
254D4×Dic5—24no—
255#4076—24no—
256#4075—24no—
257C4×C22⋊D5—24no—
258C4×C22⋊D5—24no—
259C4×C22⋊D5—24no—
260C2×#685—24no—
261C2×#685—42no—
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×C4⋊Dic5—42no—
297C2×C4⋊Dic5C2311yescharacteristic
298C2×C4⋊Dic5C2311yescharacteristic
299C2×C4⋊Dic5C2311yescharacteristic
300C2×C4⋊Dic5C2311yescharacteristic
301C2×C4⋊Dic5C2311yescharacteristic
302C2×C4⋊Dic5C2311yescharacteristic
303C2×C4⋊Dic5C2311yescharacteristic
304C2×C4⋊Dic5C2311yescharacteristic
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311C2×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313C2×C4⋊Dic5C2311yescharacteristic
314#4070—24no—
315C2×#683—24no—
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×C4×Dic5C2311yescharacteristic
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332#4043—42no—
333#4043—42no—
334#4042—24no—
335#4039—24no—
336D5×C4⋊C4—24no—
337#4035—24no—
338#4032—24no—
339#4032—24no—
340#4032—42no—
341#4029—24no—
342#4028—24no—
343#4028—42no—
344#4027—24no—
345#4027—24no—
346D5×C22⋊C4—24no—
347D5×C22⋊C4—24no—
348#4025—24no—
349#4024—24no—
350#4022—24no—
351C4×D20—24no—
352C4×D20—42no—
353C4×D20—42no—
354C42×D5—24no—
355#4016—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
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
392C2×#539—51no—
393C22×C4×D4—51no—
394#2852—51no—
395#2851—51no—
396#2849—51no—
397#2848—51no—
398#2638—51no—
399#2636—51no—
400#2633—51no—
401#2630—51no—
402#2480—51no—
403#2473—51no—
404#2466—51no—
405#2463—51no—
406#2460—51no—
407#2455—51no—
408#2449—51no—
409#2449—51no—
410#2443—51no—
411#2437—51no—
412#2425—51no—
413#2419—51no—
414#2418—51no—
415#2412—51no—
416#2410—51no—
417#2405—51no—
418#2325—51no—
419#2322—51no—
420#2318D511yescharacteristic, complemented
421C4×#120—51no—
422C2×#385—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—41no—
435C23×D5—41no—
436C23×D5—41no—
437C23×D5—41no—
438C23×D5#4114yes—
439C23×D5C2411yescharacteristic
440C23×D5C2411yescharacteristic
441C23×D5C2411yescharacteristic
442C23×D5C2411yescharacteristic
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4C2×D414yes—
446C22×C4×C5—22no—
447C22×C4×C5—22no—
448C22×C4×C5—41no—
449C22×C4×C5—41no—
450C22×C4×C5—41no—
451C22×C4×C5—41no—
452C22×C4×C5—41no—
453C22×C4×C5—41no—
454C22×C4×C5—41no—
455C22×C4×C5—41no—
456C22×C4×C5C2×D414yes—
457C22×C4×C5C2×D414yes—
458C22×C4×C5C2411yescharacteristic
459C22×C4×C5C2411yescharacteristic
460C22×C4×C5C2411yescharacteristic
461C22×C4×C5C2411yescharacteristic
462C22×C4×C5C2411yescharacteristic
463C22×C4×C5C2411yescharacteristic
464C22×C4×C5C2411yescharacteristic
465C22×C4×C5C2411yescharacteristic
466C22×C4×C5C2411yescharacteristic
467C22×C4×C5C2411yescharacteristic
468C22×C4×C5C2411yescharacteristic
469C22×C4×C5C2411yescharacteristic
470C22×C4×C5C2411yescharacteristic
471C2×C22⋊D5—22no—
472C2×C22⋊D5—22no—
473C2×C22⋊D5—22no—
474C2×C22⋊D5—22no—
475C2×C22⋊D5—22no—
476C2×C22⋊D5—22no—
477C2×C22⋊D5—22no—
478C2×C22⋊D5—22no—
479C2×C22⋊D5—22no—
480C2×C22⋊D5—41no—
481C2×C22⋊D5—41no—
482C2×C22⋊D5#4114yes—
483C22×Dic5—22no—
484C22×Dic5—22no—
485C22×Dic5—22no—
486C22×Dic5—22no—
487C22×Dic5—22no—
488C22×Dic5—22no—
489C22×Dic5—22no—
490C22×Dic5—22no—
491C22×Dic5—41no—
492C22×Dic5—41no—
493C22×Dic5—41no—
494C22×Dic5—41no—
495C22×Dic5C2411yescharacteristic
496C22×Dic5C2411yescharacteristic
497C22×Dic5C2411yescharacteristic
498C22×Dic5C2411yescharacteristic
499C22×Dic5C2411yescharacteristic
500C22×Dic5C2411yescharacteristic
501C22×Dic5C2411yescharacteristic
502C22×Dic5C2411yescharacteristic
503C22×Dic5C2411yescharacteristic
504C22×Dic5C2411yescharacteristic
505C22×Dic5C2411yescharacteristic
506C22×Dic5C2411yescharacteristic
507D4×D5—232no—
508C2×D20—22no—
509C2×D20—22no—
510C2×D20—22no—
511C2×D20—22no—
512C2×D20—22no—
513C2×D20—22no—
514C2×D20—22no—
515C2×D20—22no—
516C2×D20—41no—
517C2×D20—41no—
518C2×D20—41no—
519C2×D20—41no—
520C2×C4×D5—22no—
521C2×C4×D5—22no—
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—416no—
540C2×C4×D5—416no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5—41no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5—41no—
552C2×Dic10—22no—
553C2×Dic10—41no—
554C2×Dic10—41no—
555C5×C4⋊C4—41no—
556C5×C4⋊C4—41no—
557C5×C4⋊C4—41no—
558C5×C4⋊C4—41no—
559C5×C4⋊C4C2×D414yes—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—41no—
563C5×C22⋊C4—41no—
564C5×C22⋊C4—41no—
565C5×C22⋊C4—41no—
566C5×C22⋊C4C2×D414yes—
567C5×C22⋊C4C2×D414yes—
568C42×C5—41no—
569C42×C5—41no—
570C42×C5C2×D414yes—
571C22⋊Dic5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577#685—22no—
578#685—22no—
579#685—22no—
580#685—22no—
581#685—22no—
582#685—22no—
583#685—22no—
584#685—22no—
585#685—22no—
586#685—22no—
587#685—22no—
588#685—22no—
589#685—22no—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—41no—
601#685—41no—
602#685—41no—
603#685—41no—
604#685—41no—
605#685—41no—
606#685—41no—
607#685—41no—
608#685—41no—
609#685—41no—
610#685—41no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—22no—
617C4⋊Dic5—22no—
618C4⋊Dic5—22no—
619C4⋊Dic5—22no—
620C4⋊Dic5—22no—
621C4⋊Dic5—41no—
622C4⋊Dic5—41no—
623C4⋊Dic5—41no—
624C4⋊Dic5—41no—
625C4⋊Dic5—41no—
626C4⋊Dic5—41no—
627C4⋊Dic5—41no—
628#683—22no—
629#683—22no—
630#683—22no—
631#683—22no—
632#683—22no—
633#683—22no—
634#683—22no—
635#683—22no—
636#683—22no—
637#683—22no—
638#683—22no—
639#683—22no—
640C4×Dic5—22no—
641C4×Dic5—22no—
642C4×Dic5—22no—
643C4×Dic5—22no—
644C23×D4—51no—
645C24×C4—51no—
646C24×C4—51no—
647#539—108no—
648C2×#126—51no—
649C2×#126—51no—
650C2×#125—51no—
651C2×#125—51no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×#123—51no—
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×C22⋊Q8—51no—
661C2×C22⋊Q8—51no—
662C2×C22⋊Q8—51no—
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—51no—
677C2×C4×D4—108no—
678C2×C4×D4C2×D511yescharacteristic
679C22×C4⋊C4—51no—
680C22×C4⋊C4—51no—
681C22×C4⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C22⋊C4—51no—
686C22×C42—51no—
687#400—51no—
688#399—51no—
689#399—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#398—51no—
695#397—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#397—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#396—51no—
705#395—51no—
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394—51no—
712#394—51no—
713#394—51no—
714#394—51no—
715#394—51no—
716#393—51no—
717#392—51no—
718#392—51no—
719#389—51no—
720#389—51no—
721#389—51no—
722#389—51no—
723#388—51no—
724#388—51no—
725#388—51no—
726#388—51no—
727#388—51no—
728#388—51no—
729#388C2×D511yescharacteristic, complemented
730#388C2×D511yescharacteristic, complemented
731#387—51no—
732#387—51no—
733#387—51no—
734#387—51no—
735#387—51no—
736#387—51no—
737#387—51no—
738#387—51no—
739#387C2×D511yescharacteristic, complemented
740#387C2×D511yescharacteristic, complemented
741#386—51no—
742#386—51no—
743#386—51no—
744#386—51no—
745#386—51no—
746#386—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386C2×D511yescharacteristic
754#386C2×D511yescharacteristic
755#385—51no—
756#385—51no—
757#385—51no—
758#385—51no—
759#385—51no—
760#385—51no—
761#385—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#385—51no—
774#385—51no—
775#385—51no—
776#385—51no—
777#385—51no—
778#385—51no—
779#385C2×D511yescharacteristic, complemented
780#385C2×D511yescharacteristic, complemented
781#383C2×D511yescharacteristic, complemented
782#382C2×D511yescharacteristic, complemented
783#381—51no—
784#381—51no—
785#381C2×D511yescharacteristic, complemented
786#380—51no—
787#380—51no—
788#380—51no—
789#380—51no—
790#380—51no—
791#380C2×D511yescharacteristic, complemented
792#379—51no—
793#379—51no—
794#379—51no—
795#379—51no—
796C4×C22⋊C4—51no—
797C4×C22⋊C4—51no—
798C4×C22⋊C4C2×D511yescharacteristic, complemented
799C2×#95—51no—
800C2×#95C2×D511yescharacteristic, complemented
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5C22×D412yes—
812C23×C5C22×D412yes—
813C23×C5C2×#4112yes—
814C23×C5C2×#4112yes—
815C23×C5C2511yescharacteristic
816C22×D5—21no—
817C22×D5—21no—
818C22×D5—21no—
819C22×D5—21no—
820C22×D5—28no—
821C22×D5—28no—
822C22×D5—21no—
823C22×D5—21no—
824C22×D5—21no—
825C22×D5—21no—
826C22×D5—21no—
827C22×D5—21no—
828C22×D5—21no—
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—28no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—21no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5—44no—
848C22×D5—44no—
849C22×D5—44no—
850C22×D5—44no—
851C22×D5—44no—
852C22×D5—44no—
853C22×D5C2×#4112yes—
854C22×D5C2×#4112yes—
855C22×D5C2×#4112yes—
856C22×D5H(5,𝔽2)12yes—
857C22×D52−1+412yes—
858C5×D4—28no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—21no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—21no—
887C2×C4×C5—21no—
888C2×C4×C5—21no—
889C2×C4×C5—21no—
890C2×C4×C5—21no—
891C2×C4×C5—21no—
892C2×C4×C5—21no—
893C2×C4×C5—44no—
894C2×C4×C5—44no—
895C2×C4×C5—44no—
896C2×C4×C5—82no—
897C2×C4×C5C22×D412yes—
898C2×C4×C5C22×D412yes—
899C2×C4×C5C22×D412yes—
900C2×C4×C5C22×D412yes—
901C2×C4×C5C22×D412yes—
902C22⋊D5—28no—
903C22⋊D5—28no—
904C22⋊D5—44no—
905C22⋊D5—82no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—21no—
940C2×Dic5—44no—
941C2×Dic5—44no—
942C2×Dic5—44no—
943C2×Dic5—82no—
944C2×Dic5C2×#4112yes—
945C2×Dic5H(5,𝔽2)12yes—
946D20—28no—
947D20—44no—
948D20—44no—
949D20—82no—
950C4×D5—28no—
951C4×D5—28no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956C4×D5—44no—
957C4×D5—44no—
958C4×D5—44no—
959C4×D5—82no—
960Dic10—82no—
961C25—51no—
962C25—51no—
963C22×Q8—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4—104no—
973C22×D4—104no—
974C22×D4—104no—
975C22×D4C22×D511yescharacteristic
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—104no—
991C23×C4—104no—
992C23×C4—202no—
993C23×C4—202no—
994C23×C4—202no—
995C23×C4—202no—
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998C23×C4C22×D511yescharacteristic
999C23×C4C22×D511yescharacteristic
1000#126—104no—
1001#126—104no—
1002#125—104no—
1003#125—104no—
1004#123—104no—
1005#123—104no—
1006#123—104no—
1007#123—104no—
1008#123—104no—
1009#123—202no—
1010C22⋊Q8—104no—
1011C22⋊Q8—104no—
1012C22⋊Q8—104no—
1013C22⋊Q8—202no—
1014C22⋊Q8—202no—
1015#121—104no—
1016#121—104no—
1017#120—104no—
1018#120—202no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—104no—
1025C4×D4—104no—
1026C4×D4—104no—
1027C4×D4—202no—
1028C4×D4—202no—
1029C4×D4D2018yescomplemented
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4—51no—
1052C2×C4⋊C4—51no—
1053C2×C4⋊C4—51no—
1054C2×C4⋊C4—51no—
1055C2×C4⋊C4—51no—
1056C2×C4⋊C4—51no—
1057C2×C4⋊C4—51no—
1058C2×C4⋊C4—51no—
1059C2×C4⋊C4—104no—
1060C2×C4⋊C4—104no—
1061C2×C4⋊C4—202no—
1062C2×C4⋊C4C22×D511yescharacteristic
1063C2×C4⋊C4C22×D511yescharacteristic
1064C2×C4⋊C4C22×D511yescharacteristic
1065C2×C4⋊C4C22×D511yescharacteristic
1066C2×C4⋊C4C22×D511yescharacteristic
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—51no—
1089C2×C22⋊C4—51no—
1090C2×C22⋊C4—51no—
1091C2×C22⋊C4—51no—
1092C2×C22⋊C4—51no—
1093C2×C22⋊C4—51no—
1094C2×C22⋊C4—51no—
1095C2×C22⋊C4—51no—
1096C2×C22⋊C4—51no—
1097C2×C22⋊C4—51no—
1098C2×C22⋊C4—51no—
1099C2×C22⋊C4—51no—
1100C2×C22⋊C4—51no—
1101C2×C22⋊C4—51no—
1102C2×C22⋊C4—51no—
1103C2×C22⋊C4—51no—
1104C2×C22⋊C4—51no—
1105C2×C22⋊C4—51no—
1106C2×C22⋊C4—51no—
1107C2×C22⋊C4—104no—
1108C2×C22⋊C4—104no—
1109C2×C22⋊C4—104no—
1110C2×C22⋊C4—202no—
1111C2×C22⋊C4C22×D511yescharacteristic
1112C2×C22⋊C4C22×D511yescharacteristic
1113C2×C22⋊C4C22×D511yescharacteristic
1114C2×C22⋊C4C22×D511yescharacteristic
1115C2×C22⋊C4C22×D511yescharacteristic
1116C2×C22⋊C4C22×D511yescharacteristic
1117C2×C22⋊C4C22×D511yescharacteristic
1118C2×C22⋊C4C22×D511yescharacteristic
1119C2×C42—51no—
1120C2×C42—51no—
1121C2×C42—51no—
1122C2×C42—51no—
1123C2×C42—104no—
1124C2×C42C22×D511yescharacteristic
1125C2×C42C22×D511yescharacteristic
1126C2×C42C22×D511yescharacteristic
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95C22×D511yescharacteristic
1150#95C22×D511yescharacteristic
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159#95C22×D511yescharacteristic
1160#95C22×D511yescharacteristic
1161#95C22×D511yescharacteristic
1162#95C22×D511yescharacteristic
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—22no—
1169C22×C5—22no—
1170C22×C5—22no—
1171C22×C5—22no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5#52514yes—
1177C22×C5C23×D411yescharacteristic
1178C22×C5C22×#4111yescharacteristic
1179C22×C5C22×#4111yescharacteristic
1180C22×C5C2×H(5,𝔽2)11yescharacteristic
1181C22×C5C2×H(5,𝔽2)11yescharacteristic
1182C22×C5C2×2−1+411yescharacteristic
1183C22×C5#58511yescharacteristic
1184C2×D5—22no—
1185C2×D5—22no—
1186C2×D5—22no—
1187C2×D5—22no—
1188C2×D5—22no—
1189C2×D5—22no—
1190C2×D5—22no—
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—416no—
1197C2×D5—416no—
1198C2×D5—41no—
1199C2×D5—41no—
1200C2×D5—41no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5—41no—
1209C2×D5—41no—
1210C2×D5—41no—
1211C2×D5—41no—
1212C2×D5—41no—
1213C2×D5#53914yescomplemented
1214C4×C5—22no—
1215C4×C5—22no—
1216C4×C5—22no—
1217C4×C5—22no—
1218C4×C5—22no—
1219C4×C5—41no—
1220C4×C5—41no—
1221C4×C5—41no—
1222C4×C5—41no—
1223C4×C5—41no—
1224C4×C5—41no—
1225C4×C5—41no—
1226C4×C5—41no—
1227Dic5—22no—
1228Dic5—22no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234Dic5—41no—
1235Dic5—41no—
1236Dic5—41no—
1237Dic5—41no—
1238Dic5—41no—
1239C24—51no—
1240C24—51no—
1241C24—51no—
1242C24—54no—
1243C24—51no—
1244C24—102no—
1245C24—102no—
1246C24—102no—
1247C24—102no—
1248C24—102no—
1249C24—102no—
1250C24—102no—
1251C24—102no—
1252C24—102no—
1253C24—201no—
1254C24—201no—
1255C24—201no—
1256C24—201no—
1257C24C23×D511yescharacteristic
1258C24C23×D511yescharacteristic
1259C2×Q8—102no—
1260C2×Q8—201no—
1261C2×Q8—201no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—54no—
1265C2×D4—102no—
1266C2×D4—102no—
1267C2×D4—102no—
1268C2×D4—102no—
1269C2×D4—102no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—1032no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—201no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C2×D4—201no—
1288C2×D4—201no—
1289C2×D4C2×D2014yes—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—51no—
1303C22×C4—51no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—102no—
1313C22×C4—102no—
1314C22×C4—102no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—201no—
1340C22×C4—201no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—2016no—
1351C22×C4—2016no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4—201no—
1356C22×C4C2×D2014yes—
1357C22×C4C2×D2014yes—
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C22×C4C23×D511yescharacteristic
1369C22×C4C23×D511yescharacteristic
1370C22×C4C23×D511yescharacteristic
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—102no—
1388C4⋊C4—102no—
1389C4⋊C4—102no—
1390C4⋊C4—102no—
1391C4⋊C4—102no—
1392C4⋊C4—102no—
1393C4⋊C4—102no—
1394C4⋊C4—102no—
1395C4⋊C4—102no—
1396C4⋊C4—102no—
1397C4⋊C4—201no—
1398C4⋊C4—201no—
1399C4⋊C4—201no—
1400C4⋊C4—201no—
1401C4⋊C4—201no—
1402C4⋊C4—201no—
1403C4⋊C4—201no—
1404C4⋊C4C2×D2014yes—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—102no—
1432C22⋊C4—102no—
1433C22⋊C4—102no—
1434C22⋊C4—102no—
1435C22⋊C4—102no—
1436C22⋊C4—102no—
1437C22⋊C4—102no—
1438C22⋊C4—102no—
1439C22⋊C4—102no—
1440C22⋊C4—201no—
1441C22⋊C4—201no—
1442C22⋊C4—201no—
1443C22⋊C4—201no—
1444C22⋊C4—201no—
1445C22⋊C4—201no—
1446C22⋊C4—201no—
1447C22⋊C4—201no—
1448C22⋊C4—201no—
1449C22⋊C4—201no—
1450C22⋊C4—201no—
1451C22⋊C4C2×D2014yes—
1452C22⋊C4C2×D2014yes—
1453C42—41no—
1454C42—41no—
1455C42—102no—
1456C42—102no—
1457C42—102no—
1458C42—102no—
1459C42C2×D2014yes—
1460C2×C5—24no—
1461C2×C5—42no—
1462C2×C5C2×#52511yescharacteristic
1463C2×C5C2×#53911yescharacteristic
1464C2×C5#345911yescharacteristic
1465C2×C5#348411yescharacteristic
1466C2×C5#348911yescharacteristic
1467C2×C5#351311yescharacteristic
1468C2×C5#352011yescharacteristic
1469D5—24no—
1470D5—42no—
1471D5—42no—
1472D5—81no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—52no—
1484C23—52no—
1485C23—52no—
1486C23—52no—
1487C23—52no—
1488C23—108no—
1489C23—108no—
1490C23—101no—
1491C23—101no—
1492C23—101no—
1493C23—101no—
1494C23—108no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—101no—
1509C23—101no—
1510C23—101no—
1511C23—101no—
1512C23—101no—
1513C23—101no—
1514C23—204no—
1515C23—204no—
1516C23—204no—
1517C23—204no—
1518C23—204no—
1519C23—204no—
1520C23—204no—
1521C23—204no—
1522C23—204no—
1523C23—204no—
1524C23—204no—
1525C23C22×D2012yes—
1526C23C22×D2012yes—
1527C23D5×#4112yes—
1528C23D5×#4112yes—
1529C23C24×D511yescharacteristic
1530Q8—402no—
1531D4—28no—
1532D4—108no—
1533D4—108no—
1534D4—108no—
1535D4—204no—
1536D4—204no—
1537D4—204no—
1538D4—402no—
1539D4—402no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—52no—
1578C2×C4—52no—
1579C2×C4—82no—
1580C2×C4—108no—
1581C2×C4—108no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—101no—
1609C2×C4—101no—
1610C2×C4—101no—
1611C2×C4—101no—
1612C2×C4—101no—
1613C2×C4—101no—
1614C2×C4—101no—
1615C2×C4—101no—
1616C2×C4—204no—
1617C2×C4—204no—
1618C2×C4—204no—
1619C2×C4—204no—
1620C2×C4—204no—
1621C2×C4—204no—
1622C2×C4—204no—
1623C2×C4—204no—
1624C2×C4—204no—
1625C2×C4—204no—
1626C2×C4—402no—
1627C2×C4—402no—
1628C2×C4C22×D2012yes—
1629C2×C4C22×D2012yes—
1630C2×C4C22×D2012yes—
1631C2×C4C22×D2012yes—
1632C2×C4C22×D2012yes—
1633C5#3499111yescharacteristic, complemented, Sylow
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—54no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—2016no—
1661C22—2016no—
1662C22—201no—
1663C22—201no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22—201no—
1669C22—201no—
1670C22—201no—
1671C22—201no—
1672C22—201no—
1673C22—201no—
1674C22—201no—
1675C22—201no—
1676C22—201no—
1677C22#6585814yes—
1678C22C23×D2011yescharacteristic
1679C22C2×D5×#4111yescharacteristic
1680C22C2×D5×#4111yescharacteristic
1681C22D5×H(5,𝔽2)11yescharacteristic
1682C22D5×H(5,𝔽2)11yescharacteristic
1683C22#6628511yescharacteristic
1684C22D5×2−1+411yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—102no—
1699C4—102no—
1700C4—201no—
1701C4—201no—
1702C4—201no—
1703C4—201no—
1704C4—201no—
1705C4—201no—
1706C4—201no—
1707C4—201no—
1708C4—201no—
1709C4—201no—
1710C2—24no—
1711C2—42no—
1712C2—104no—
1713C2—202no—
1714C2—202no—
1715C2—401no—
1716C2C2×#6585811yescharacteristic
1717C2#1061776811yescharacteristic
1718C2#1061780211yescharacteristic
1719C2#1061828911yescharacteristic
1720C2#1061831711yescharacteristic
1721C2D5×#53911yescharacteristic
1722C2#1061835711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2318C2
prime radical#10606619C2
hypercenter#2318D5
hypocenterC5#34991
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
1. C2×C4×D4×D5C2semidirect
2. C2×#65898C2semidirect
3. C5×#2318C2semidirect
4. #10607581C2semidirect
5. #10607575C2semidirect
6. #10607271C2semidirect
7. #10607247C2semidirect
8. #10607058C2semidirect
9. #10607052C2semidirect
10. #10606740C2semidirect
11. #10606721C2semidirect
13. #10606434C2semidirect
14. #10606425C2semidirect
15. #10606417C2semidirect
16. #10606153C2semidirect
17. #10606144C2semidirect
18. #10606141C2semidirect
19. #10606137C2semidirect
20. #10606048C2semidirect
21. #10606008C2semidirect
22. #10605988C2semidirect
23. #10605976C2semidirect
24. #10605877C2semidirect
25. #10605822C2semidirect
26. #10605780C2semidirect
27. #10605765C2semidirect
28. C4×#4028C2semidirect
29. #10605177C2semidirect
30. C2×#64957C2semidirect
31. #10605064C2semidirect
40. C2×#4075C22semidirect
43. C2×C4×C22⋊D5C22semidirect
46. C22×C4⋊Dic5C22semidirect
47. C2×#4070C22semidirect
48. C22×#683C22semidirect
52. C2×#4043C22semidirect
53. C2×#4042C22semidirect
56. C2×#4035C22semidirect
58. C2×#4032C22semidirect
59. C2×#4032C22semidirect
60. C2×#4029C22semidirect
67. C2×#4025C22semidirect
68. C2×#4024C22semidirect
69. C2×#4022C22semidirect
72. C2×C4×D20C22semidirect
74. C2×#4016C22semidirect
75. C5×#388C22semidirect
76. C5×#388C22semidirect
77. C5×#387C22semidirect
78. C5×#387C22semidirect
81. C5×#385C22semidirect
82. C5×#385C22semidirect
83. C5×#383C22semidirect
84. C5×#382C22semidirect
85. C5×#381C22semidirect
86. C5×#380C22semidirect
87. C4×C5×C22⋊C4C22semidirect
88. C2×C5×#95C22semidirect
90. #65502C22semidirect
91. #65501C22semidirect
92. C2×#3963C22semidirect
93. #65283C22semidirect
94. #65283C22semidirect
95. #65283C22semidirect
96. #65283C22semidirect
97. #65280C22semidirect
98. #65280C22semidirect
99. #65280C22semidirect
103. #65276C22semidirect
104. #65274C22semidirect
105. #65274C22semidirect
106. #65272C22semidirect
110. #65250C22semidirect
113. #65247C22semidirect
118. #65242C22semidirect
119. #65242C22semidirect
120. #65242C22semidirect
121. #65239C22semidirect
122. #65239C22semidirect
123. #65239C22semidirect
124. #65239C22semidirect
125. #65232C22semidirect
126. #65232C22semidirect
127. #65229C22semidirect
128. #65229C22semidirect
130. C4×#685C22semidirect
131. #65217C22semidirect
132. #65217C22semidirect
133. #64966C22semidirect
134. #64966C22semidirect
135. #64966C22semidirect
136. #64963C22semidirect
137. #64963C22semidirect
138. #64963C22semidirect
139. #64962C22semidirect
144. #64959C22semidirect
145. #64959C22semidirect
146. #64959C22semidirect
147. #64959C22semidirect
158. #64957C22semidirect
159. #64957C22semidirect
160. #64957C22semidirect
161. #64957C22semidirect
162. #64957C22semidirect
163. #64957C22semidirect
164. #64957C22semidirect
165. #64957C22semidirect
166. #64957C22semidirect
167. #64957C22semidirect
172. #64954C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. #64950C22semidirect
177. #64950C22semidirect
178. #64950C22semidirect
179. #64948C22semidirect
180. #64945C22semidirect
181. #64942C22semidirect
182. #64942C22semidirect
183. #64942C22semidirect
184. #64942C22semidirect
185. #64942C22semidirect
186. #64942C22semidirect
187. #64942C22semidirect
188. #64942C22semidirect
229. C4×C5×D4D4semidirect
420. #2318D5semidirect
729. #388C2×D5semidirect
730. #388C2×D5semidirect
739. #387C2×D5semidirect
740. #387C2×D5semidirect
779. #385C2×D5semidirect
780. #385C2×D5semidirect
781. #383C2×D5semidirect
782. #382C2×D5semidirect
785. #381C2×D5semidirect
791. #380C2×D5semidirect
798. C4×C22⋊C4C2×D5semidirect
800. C2×#95C2×D5semidirect
1029. C4×D4D20semidirect
1213. C2×D5#539semidirect
1633. C5#34991semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D52
C2×#658982
C5×#23182
#106075812
#106075752
#106072712
#106072472
#106070582
#106070522
#106067402
#106067212
#106066192
#106064342
#106064252
#106064172
#106061532
#106061442
#106061412
#106061372
#106060482
#106060082
#106059882
#106059762
#106058772
#106058222
#106057802
#106057652
C4×#40282
#106051772
C2×#649572
#106050642
#349915