Finite Group Databasebeta

← #12266847

Subgroups — #12266847

Order 1280.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65881C211yesmaximal, characteristic, complemented
2C2×#65881C211yesmaximal, characteristic, complemented
3C2×C4×D4×D5C211yesmaximal, characteristic, complemented
4C22×C4×D20C211yesmaximal, characteristic, complemented
5C4×C5×#121C211yesmaximal, characteristic, complemented
6#10614437C211yesmaximal, characteristic, complemented
7#10614433C211yesmaximal, characteristic, complemented
8C4×#4083C211yesmaximal, characteristic, complemented
9C4×#4083C211yesmaximal, characteristic, complemented
10#10614078C211yesmaximal, characteristic, complemented
11#10613796C211yesmaximal, characteristic, complemented
12#10608177C211yesmaximal, characteristic, complemented
13#10608173C211yesmaximal, characteristic, complemented
14#10607957C211yesmaximal, characteristic, complemented
15#10607956C211yesmaximal, characteristic, complemented
16#10607587C211yesmaximal, characteristic, complemented
17#10607579C211yesmaximal, characteristic, complemented
18#10607576C211yesmaximal, characteristic, complemented
19#10607235C211yesmaximal, characteristic, complemented
20#10606618C211yesmaximal, characteristic, complemented
21#10606615C211yesmaximal, characteristic, complemented
22#10606441C211yesmaximal, characteristic, complemented
23#10606435C211yesmaximal, characteristic, complemented
24#10605752C211yesmaximal, characteristic, complemented
25#10605627C211yesmaximal, characteristic, complemented
26#10605507C211yesmaximal, characteristic, complemented
27#10605485C211yesmaximal, characteristic, complemented
28#10605312C211yesmaximal, characteristic, complemented
29#10605311C211yesmaximal, characteristic, complemented
30C4×#4030C211yesmaximal, characteristic, complemented
31C4×#4028C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C22×#709C2211yescharacteristic, complemented
34C23×D20C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic
36C23×C4×D5C2211yescharacteristic, complemented
37C23×C4×D5C2211yescharacteristic, complemented
38C2×C5×#121C2211yescharacteristic
39C2×C4×C5×D4C2211yescharacteristic
40C2×C4×C5×D4C2211yescharacteristic, complemented
41C2×C4×C5×D4C2211yescharacteristic, complemented
42C22×C42×C5C2211yescharacteristic, complemented
43C2×#4085C2211yescharacteristic
44C2×#4085C2211yescharacteristic, complemented
45C2×#4083C2211yescharacteristic
46C2×#4083C2211yescharacteristic
47C2×#4083C2211yescharacteristic, complemented
48C2×#4083C2211yescharacteristic, complemented
49C2×D4×Dic5C2211yescharacteristic
50C2×C4×C22⋊D5C2211yescharacteristic
51C2×C4×C22⋊D5C2211yescharacteristic, complemented
52C2×C4×C22⋊D5C2211yescharacteristic, complemented
53C2×C4×C22⋊D5C2211yescharacteristic, complemented
54C2×C4×C22⋊D5C2211yescharacteristic, complemented
55C2×C4×C22⋊D5C2211yescharacteristic, complemented
56C2×C4×C22⋊D5C2211yescharacteristic, complemented
57C22×#685C2211yescharacteristic
58C22×#685C2211yescharacteristic, complemented
59C22×C4⋊Dic5C2211yescharacteristic, complemented
60#65881—28no—
61#65881—28no—
62C4×D4×D5—28no—
63C2×#4042C2211yescharacteristic, complemented
64C2×#4042C2211yescharacteristic, complemented
65C2×#4040C2211yescharacteristic, complemented
66C2×#4040C2211yescharacteristic, complemented
67C2×#4039C2211yescharacteristic, complemented
68C2×D5×C4⋊C4C2211yescharacteristic, complemented
69C2×#4030C2211yescharacteristic
70C2×#4030C2211yescharacteristic
71C2×#4030C2211yescharacteristic, complemented
72C2×#4029C2211yescharacteristic, complemented
73C2×#4029C2211yescharacteristic, complemented
74C2×#4028C2211yescharacteristic
75C2×#4028C2211yescharacteristic
76C2×#4028C2211yescharacteristic
77C2×#4027C2211yescharacteristic
78C2×#4027C2211yescharacteristic, complemented
79C2×D5×C22⋊C4C2211yescharacteristic
80C2×D5×C22⋊C4C2211yescharacteristic, complemented
81C2×#4024C2211yescharacteristic, complemented
82C2×#4024C2211yescharacteristic, complemented
83C2×C4×D20—28no—
84C2×C4×D20C2211yescharacteristic
85C2×C4×D20C2211yescharacteristic
86C2×C4×D20C2211yescharacteristic
87C2×C4×D20C2211yescharacteristic
88C2×C4×D20C2211yescharacteristic, complemented
89C2×C4×D20C2211yescharacteristic, complemented
90C2×C4×D20C2211yescharacteristic, complemented
91C2×C4×D20C2211yescharacteristic, complemented
92C2×C4×D20C2211yescharacteristic, complemented
93C2×C4×D20C2211yescharacteristic, complemented
94C2×#4018C2211yescharacteristic, complemented
95C2×#4018C2211yescharacteristic, complemented
96C2×C42×D5C2211yescharacteristic, complemented
97C5×#390C2211yescharacteristic, complemented
98C5×#389C2211yescharacteristic, complemented
99C5×#388C2211yescharacteristic, complemented
100C5×#388C2211yescharacteristic, complemented
101C5×#386C2211yescharacteristic
102C5×#386C2211yescharacteristic, complemented
103C5×#380C2211yescharacteristic, complemented
104C4×C5×C4⋊C4C2211yescharacteristic, complemented
105C4×C5×C22⋊C4C2211yescharacteristic, complemented
106C4×C5×C22⋊C4C2211yescharacteristic, complemented
107#65512C2211yescharacteristic, complemented
108#65512C2211yescharacteristic, complemented
109#65509C2211yescharacteristic
110#65509C2211yescharacteristic, complemented
111#65502C2211yescharacteristic
112#65502C2211yescharacteristic
113#65499C2211yescharacteristic, complemented
114#65499C2211yescharacteristic, complemented
115C4×C22⋊Dic5C2211yescharacteristic, complemented
116#65283C2211yescharacteristic, complemented
117#65283C2211yescharacteristic, complemented
118#65281C2211yescharacteristic, complemented
119#65281C2211yescharacteristic, complemented
120#65280C2211yescharacteristic, complemented
121#65280C2211yescharacteristic, complemented
122#65279C2211yescharacteristic, complemented
123#65279C2211yescharacteristic, complemented
124#65278C2211yescharacteristic, complemented
125#65278C2211yescharacteristic, complemented
126#65278C2211yescharacteristic, complemented
127#65278C2211yescharacteristic, complemented
128#65278C2211yescharacteristic, complemented
129#65278C2211yescharacteristic, complemented
130#65250C2211yescharacteristic, complemented
131#65250C2211yescharacteristic, complemented
132#65249C2211yescharacteristic
133#65249C2211yescharacteristic
134#65249C2211yescharacteristic, complemented
135#65249C2211yescharacteristic, complemented
136#65249C2211yescharacteristic, complemented
137#65248C2211yescharacteristic, complemented
138#65248C2211yescharacteristic, complemented
139#65247C2211yescharacteristic, complemented
140#65246C2211yescharacteristic, complemented
141#65245C2211yescharacteristic, complemented
142#65245C2211yescharacteristic, complemented
143#65245C2211yescharacteristic, complemented
144#65245C2211yescharacteristic, complemented
145#65245C2211yescharacteristic, complemented
146#65244C2211yescharacteristic
147#65244C2211yescharacteristic, complemented
148#65244C2211yescharacteristic, complemented
149#65240C2211yescharacteristic, complemented
150#65239C2211yescharacteristic, complemented
151#65238C2211yescharacteristic, complemented
152#65238C2211yescharacteristic, complemented
153#65237C2211yescharacteristic, complemented
154#65235C2211yescharacteristic, complemented
155#65235C2211yescharacteristic, complemented
156#65229C2211yescharacteristic, complemented
157#65229C2211yescharacteristic, complemented
158C4×#685C2211yescharacteristic, complemented
159C4×#685C2211yescharacteristic, complemented
160C4×#685C2211yescharacteristic, complemented
161C4×#685C2211yescharacteristic, complemented
162C4×#685C2211yescharacteristic, complemented
163#65222C2211yescharacteristic, complemented
164#65222C2211yescharacteristic, complemented
165#65221C2211yescharacteristic, complemented
166C4×#683C2211yescharacteristic, complemented
167#64965C2211yescharacteristic, complemented
168#64964C2211yescharacteristic, complemented
169#64963C2211yescharacteristic, complemented
170#64962C2211yescharacteristic, complemented
171#64961C2211yescharacteristic, complemented
172#64961C2211yescharacteristic, complemented
173#64961C2211yescharacteristic, complemented
174#64960C2211yescharacteristic
175#64960C2211yescharacteristic
176#64958C2211yescharacteristic, complemented
177#64957C2211yescharacteristic, complemented
178#64957C2211yescharacteristic, complemented
179#64956C2211yescharacteristic, complemented
180#64954C2211yescharacteristic
181#64954C2211yescharacteristic
182#64954C2211yescharacteristic
183#64954C2211yescharacteristic
184#64954C2211yescharacteristic, complemented
185#64950C2211yescharacteristic, complemented
186#64946C2211yescharacteristic, complemented
187#64945C2211yescharacteristic, complemented
188#64943C2211yescharacteristic, complemented
189#64943C2211yescharacteristic, complemented
190#64936C2211yescharacteristic, complemented
191#34655—51nomaximal, Sylow
192C24×D5C2311yescharacteristic
193C24×D5C2311yescharacteristic
194C24×D5C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C23×C4×C5C2311yescharacteristic
199C23×C4×C5C2311yescharacteristic
200C23×C4×C5C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C22×C22⋊D5C2311yescharacteristic
204C22×C22⋊D5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C2×D4×D5—24no—
216C2×D4×D5—24no—
217C2×D4×D5—24no—
218C2×#709—24no—
219C2×#709—24no—
220C2×#709—42no—
221C22×D20—24no—
222C22×D20—24no—
223C22×D20—24no—
224C22×D20C2311yescharacteristic
225C22×D20C2311yescharacteristic
226C22×D20C2311yescharacteristic
227C22×D20C2311yescharacteristic
228C22×D20C2311yescharacteristic
229C22×D20C2311yescharacteristic
230C22×D20C2311yescharacteristic
231C22×C4×D5—24no—
232C22×C4×D5—24no—
233C22×C4×D5—24no—
234C22×C4×D5—24no—
235C22×C4×D5—24no—
236C22×C4×D5—24no—
237C22×C4×D5—42no—
238C22×C4×D5—42no—
239C22×C4×D5—42no—
240C22×C4×D5C2311yescharacteristic
241C22×C4×D5C2311yescharacteristic
242C22×C4×D5C2311yescharacteristic
243C22×C4×D5C2311yescharacteristic
244C22×C4×D5C2311yescharacteristic
245C22×C4×D5C2311yescharacteristic
246C22×C4×D5C2311yescharacteristic
247C22×C4×D5C2311yescharacteristic
248C22×C4×D5C2311yescharacteristic
249C22×C4×D5C2311yescharacteristic
250C22×C4×D5C2311yescharacteristic
251C22×C4×D5C2311yescharacteristic
252C22×C4×D5C2311yescharacteristic
253C22×Dic10C2311yescharacteristic
254C5×#121—24no—
255C4×C5×D4—24no—
256C4×C5×D4—24no—
257C4×C5×D4—24no—
258C2×C5×C4⋊C4C2311yescharacteristic
259C2×C5×C4⋊C4C2311yescharacteristic
260C2×C5×C4⋊C4C2311yescharacteristic
261C2×C5×C4⋊C4C2311yescharacteristic
262C2×C5×C4⋊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×C5×C22⋊C4C2311yescharacteristic
272C2×C5×C22⋊C4C2311yescharacteristic
273C2×C42×C5—24no—
274C2×C42×C5C2311yescharacteristic
275C2×C42×C5C2311yescharacteristic
276C2×C42×C5C2311yescharacteristic
277C2×C42×C5C2311yescharacteristic
278C2×C42×C5C2311yescharacteristic
279C2×C42×C5C2311yescharacteristic
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
289#4085—24no—
290#4085—24no—
291#4083—24no—
292#4083—24no—
293#4083—24no—
294#4083—24no—
295D4×Dic5—24no—
296C4×C22⋊D5—24no—
297C4×C22⋊D5—24no—
298C4×C22⋊D5—24no—
299C4×C22⋊D5—24no—
300C4×C22⋊D5—42no—
301C4×C22⋊D5—42no—
302C4×C22⋊D5D418yescomplemented
303C2×#685—24no—
304C2×#685—24no—
305C2×#685C2311yescharacteristic
306C2×#685C2311yescharacteristic
307C2×#685C2311yescharacteristic
308C2×#685C2311yescharacteristic
309C2×#685C2311yescharacteristic
310C2×#685C2311yescharacteristic
311C2×#685C2311yescharacteristic
312C2×#685C2311yescharacteristic
313C2×#685C2311yescharacteristic
314C2×#685C2311yescharacteristic
315C2×#685C2311yescharacteristic
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×C4⋊Dic5—24no—
339C2×C4⋊Dic5C2311yescharacteristic
340C2×C4⋊Dic5C2311yescharacteristic
341C2×C4⋊Dic5C2311yescharacteristic
342C2×C4⋊Dic5C2311yescharacteristic
343C2×C4⋊Dic5C2311yescharacteristic
344C2×C4⋊Dic5C2311yescharacteristic
345C2×#683C2311yescharacteristic
346C2×#683C2311yescharacteristic
347C2×#683C2311yescharacteristic
348C2×#683C2311yescharacteristic
349C2×#683C2311yescharacteristic
350C2×#683C2311yescharacteristic
351C2×#683C2311yescharacteristic
352C2×#683C2311yescharacteristic
353C2×#683C2311yescharacteristic
354C2×#683C2311yescharacteristic
355C2×#683C2311yescharacteristic
356C2×#683C2311yescharacteristic
357C2×#683C2311yescharacteristic
358C2×C4×Dic5C2311yescharacteristic
359C2×C4×Dic5C2311yescharacteristic
360C2×C4×Dic5C2311yescharacteristic
361C2×C4×Dic5C2311yescharacteristic
362C2×C4×Dic5C2311yescharacteristic
363#4042—24no—
364#4042—24no—
365#4040—24no—
366#4040—24no—
367#4039—24no—
368D5×C4⋊C4—24no—
369#4030—24no—
370#4030—24no—
371#4030—24no—
372#4029—24no—
373#4029—24no—
374#4028—24no—
375#4028—24no—
376#4028—24no—
377#4027—24no—
378#4027—24no—
379D5×C22⋊C4—24no—
380D5×C22⋊C4—24no—
381#4024—24no—
382#4024—24no—
383C4×D20—24no—
384C4×D20—24no—
385C4×D20—24no—
386C4×D20—24no—
387C4×D20—24no—
388C4×D20—24no—
389C4×D20—24no—
390C4×D20—24no—
391C4×D20—24no—
392C4×D20D418yescomplemented
393#4018—24no—
394#4018—24no—
395C42×D5—24no—
396C5×#95C2311yescharacteristic
397C5×#95C2311yescharacteristic
398C5×#95C2311yescharacteristic
399C5×#95C2311yescharacteristic
400C5×#95C2311yescharacteristic
401C5×#95C2311yescharacteristic
402#3963C2311yescharacteristic
403#3963C2311yescharacteristic
404#3963C2311yescharacteristic
405#3963C2311yescharacteristic
406#3963C2311yescharacteristic
407#3963C2311yescharacteristic
408#3963C2311yescharacteristic
409#3963C2311yescharacteristic
410#3963C2311yescharacteristic
411#3963C2311yescharacteristic
412#3963C2311yescharacteristic
413#3963C2311yescharacteristic
414#3963C2311yescharacteristic
415#3963C2311yescharacteristic
416#3963C2311yescharacteristic
417#3963C2311yescharacteristic
418#3963C2311yescharacteristic
419#3963C2311yescharacteristic
420C2×#525—51no—
421C2×#525—51no—
422C22×C4×D4—51no—
423C22×C4×D4—51no—
424#2463—51no—
425#2456—51no—
426#2456—51no—
427#2455—51no—
428#2449—51no—
429#2449—51no—
430#2443—51no—
431#2443—51no—
432#2437—51no—
433#2424—51no—
434#2424—51no—
435#2418—51no—
436#2418—51no—
437#2410—51no—
438#2410—51no—
439#2403—51no—
440#2397—51no—
441#2392—51no—
442#2392—51no—
443#2388—51no—
444C4×#121—51no—
445C4×#121D511yescharacteristic, complemented
446C4×#120—51no—
447C4×#120—51no—
448C4×#120—51no—
449#2290—51no—
450#2290—51no—
451C24×C5C2411yescharacteristic
452C24×C5C2411yescharacteristic
453C24×C5C2411yescharacteristic
454C23×D5—22no—
455C23×D5—22no—
456C23×D5—22no—
457C23×D5—22no—
458C23×D5—22no—
459C23×D5—22no—
460C23×D5—22no—
461C23×D5—22no—
462C23×D5—22no—
463C23×D5—22no—
464C23×D5—22no—
465C23×D5—22no—
466C23×D5—22no—
467C23×D5—22no—
468C23×D5—41no—
469C23×D5—41no—
470C23×D5—41no—
471C23×D5—41no—
472C23×D5—41no—
473C23×D5—41no—
474C23×D5#4114yescomplemented
475C23×D5C2411yescharacteristic
476C23×D5C2411yescharacteristic
477C23×D5C2411yescharacteristic
478C23×D5C2411yescharacteristic
479C23×D5C2411yescharacteristic
480C2×C5×D4—22no—
481C2×C5×D4—22no—
482C2×C5×D4—22no—
483C2×C5×D4—22no—
484C2×C5×D4—22no—
485C2×C5×D4—22no—
486C2×C5×D4—22no—
487C2×C5×D4—41no—
488C2×C5×D4#4114yescomplemented
489C22×C4×C5—22no—
490C22×C4×C5—22no—
491C22×C4×C5—22no—
492C22×C4×C5—22no—
493C22×C4×C5—22no—
494C22×C4×C5—22no—
495C22×C4×C5—22no—
496C22×C4×C5—22no—
497C22×C4×C5—22no—
498C22×C4×C5—22no—
499C22×C4×C5—22no—
500C22×C4×C5—22no—
501C22×C4×C5—22no—
502C22×C4×C5—41no—
503C22×C4×C5C2×D414yes—
504C22×C4×C5C2411yescharacteristic
505C22×C4×C5C2411yescharacteristic
506C22×C4×C5C2411yescharacteristic
507C22×C4×C5C2411yescharacteristic
508C22×C4×C5C2411yescharacteristic
509C22×C4×C5C2411yescharacteristic
510C22×C4×C5C2411yescharacteristic
511C22×C4×C5C2411yescharacteristic
512C22×C4×C5C2411yescharacteristic
513C22×C4×C5C2411yescharacteristic
514C22×C4×C5C2411yescharacteristic
515C22×C4×C5C2411yescharacteristic
516C2×C22⋊D5—22no—
517C2×C22⋊D5—22no—
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—41no—
536C2×C22⋊D5—41no—
537C2×C22⋊D5—41no—
538C2×C22⋊D5—41no—
539C2×C22⋊D5—41no—
540C2×C22⋊D5—41no—
541C2×C22⋊D5—41no—
542C2×C22⋊D5C2×D414yes—
543C22×Dic5—22no—
544C22×Dic5—22no—
545C22×Dic5—22no—
546C22×Dic5—22no—
547C22×Dic5—22no—
548C22×Dic5—22no—
549C22×Dic5—41no—
550C22×Dic5—41no—
551C22×Dic5—41no—
552C22×Dic5C2411yescharacteristic
553C22×Dic5C2411yescharacteristic
554C22×Dic5C2411yescharacteristic
555C22×Dic5C2411yescharacteristic
556C22×Dic5C2411yescharacteristic
557C22×Dic5C2411yescharacteristic
558C22×Dic5C2411yescharacteristic
559C22×Dic5C2411yescharacteristic
560C22×Dic5C2411yescharacteristic
561C22×Dic5C2411yescharacteristic
562C22×Dic5C2411yescharacteristic
563D4×D5—232no—
564#709—416no—
565C2×D20—232no—
566C2×D20—22no—
567C2×D20—22no—
568C2×D20—22no—
569C2×D20—22no—
570C2×D20—22no—
571C2×D20—22no—
572C2×D20—22no—
573C2×D20—22no—
574C2×D20—22no—
575C2×D20—22no—
576C2×D20—22no—
577C2×D20—22no—
578C2×D20—22no—
579C2×D20—22no—
580C2×D20—22no—
581C2×D20—22no—
582C2×D20—22no—
583C2×D20—41no—
584C2×D20—41no—
585C2×D20C2×D414yes—
586C2×D20#4114yescomplemented
587C2×C4×D5—22no—
588C2×C4×D5—22no—
589C2×C4×D5—22no—
590C2×C4×D5—22no—
591C2×C4×D5—22no—
592C2×C4×D5—22no—
593C2×C4×D5—22no—
594C2×C4×D5—22no—
595C2×C4×D5—22no—
596C2×C4×D5—22no—
597C2×C4×D5—22no—
598C2×C4×D5—22no—
599C2×C4×D5—22no—
600C2×C4×D5—22no—
601C2×C4×D5—22no—
602C2×C4×D5—22no—
603C2×C4×D5—22no—
604C2×C4×D5—22no—
605C2×C4×D5—22no—
606C2×C4×D5—22no—
607C2×C4×D5—22no—
608C2×C4×D5—22no—
609C2×C4×D5—22no—
610C2×C4×D5—22no—
611C2×C4×D5—22no—
612C2×C4×D5—22no—
613C2×C4×D5—22no—
614C2×C4×D5—22no—
615C2×C4×D5—22no—
616C2×C4×D5—416no—
617C2×C4×D5—416no—
618C2×C4×D5—416no—
619C2×C4×D5—41no—
620C2×C4×D5—41no—
621C2×C4×D5—41no—
622C2×C4×D5—41no—
623C2×C4×D5—41no—
624C2×C4×D5—41no—
625C2×C4×D5—41no—
626C2×C4×D5C2×D414yes—
627C2×C4×D5C2×D414yescomplemented
628C2×C4×D5C2×D414yescomplemented
629C2×Dic10—22no—
630C2×Dic10—22no—
631C2×Dic10—41no—
632C5×C4⋊C4—22no—
633C5×C4⋊C4—22no—
634C5×C4⋊C4—22no—
635C5×C4⋊C4—22no—
636C5×C4⋊C4—41no—
637C5×C22⋊C4—22no—
638C5×C22⋊C4—22no—
639C5×C22⋊C4—22no—
640C5×C22⋊C4—22no—
641C5×C22⋊C4—22no—
642C5×C22⋊C4—22no—
643C5×C22⋊C4—22no—
644C5×C22⋊C4—22no—
645C5×C22⋊C4—22no—
646C5×C22⋊C4—22no—
647C42×C5—22no—
648C42×C5—22no—
649C42×C5—22no—
650C42×C5—22no—
651C42×C5—22no—
652C42×C5C2×D414yescomplemented
653C22⋊Dic5—22no—
654C22⋊Dic5—22no—
655C22⋊Dic5—22no—
656C22⋊Dic5—22no—
657C22⋊Dic5—22no—
658C22⋊Dic5—22no—
659C22⋊Dic5—41no—
660C22⋊Dic5—41no—
661C22⋊Dic5C2×D414yes—
662#685—22no—
663#685—22no—
664#685—22no—
665#685—22no—
666#685—22no—
667#685—22no—
668#685—22no—
669#685—22no—
670#685—22no—
671#685—22no—
672#685—22no—
673#685—22no—
674#685—22no—
675#685—22no—
676#685—22no—
677#685—22no—
678#685—22no—
679#685—22no—
680#685—22no—
681#685—22no—
682#685—22no—
683#685—22no—
684#685—22no—
685#685—22no—
686#685—22no—
687#685—41no—
688#685—41no—
689#685—41no—
690#685—41no—
691#685—41no—
692#685C2×D414yes—
693#685C2×D414yescomplemented
694#685C2×D414yescomplemented
695C4⋊Dic5—22no—
696C4⋊Dic5—22no—
697C4⋊Dic5—22no—
698C4⋊Dic5—22no—
699C4⋊Dic5—22no—
700C4⋊Dic5C2×D414yescomplemented
701#683—22no—
702#683—22no—
703#683—22no—
704#683—22no—
705#683—22no—
706#683—22no—
707#683—22no—
708#683—22no—
709#683—22no—
710#683—41no—
711#683—41no—
712#683—41no—
713#683C2×D414yescomplemented
714C4×Dic5—22no—
715C4×Dic5—22no—
716C4×Dic5—22no—
717C4×Dic5—22no—
718C4×Dic5C2×D414yescomplemented
719C22×#41—51no—
720C23×D4—51no—
721C23×D4—51no—
722C24×C4—51no—
723C24×C4—51no—
724C24×C4—51no—
725#525—108no—
726#525—108no—
727C2×#123—51no—
728C2×#123—51no—
729C2×#123—51no—
730C2×#123—51no—
731C2×C22⋊Q8—51no—
732C2×C22⋊Q8—51no—
733C2×C22⋊Q8—51no—
734C2×C22⋊Q8—51no—
735C2×#121—51no—
736C2×#121—51no—
737C2×#121—51no—
738C2×#121—51no—
739C2×#121—51no—
740C2×#121C2×D511yescharacteristic
741C2×#120—51no—
742C2×#120—51no—
743C2×#120—51no—
744C2×#120—51no—
745C2×#120—51no—
746C2×#120—51no—
747C2×#120—51no—
748C2×C4×D4—51no—
749C2×C4×D4—51no—
750C2×C4×D4—51no—
751C2×C4×D4—51no—
752C2×C4×D4—51no—
753C2×C4×D4—51no—
754C2×C4×D4—51no—
755C2×C4×D4—51no—
756C2×C4×D4—51no—
757C2×C4×D4—51no—
758C2×C4×D4—51no—
759C2×C4×D4—51no—
760C2×C4×D4—51no—
761C2×C4×D4—51no—
762C2×C4×D4—51no—
763C2×C4×D4—51no—
764C2×C4×D4—51no—
765C2×C4×D4—51no—
766C2×C4×D4—51no—
767C2×C4×D4—51no—
768C2×C4×D4—51no—
769C2×C4×D4—108no—
770C2×C4×D4—108no—
771C2×C4×D4C2×D511yescharacteristic
772C2×C4×D4C2×D511yescharacteristic, complemented
773C2×C4×D4C2×D511yescharacteristic, complemented
774C2×#117—51no—
775C2×#117—51no—
776C22×C4⋊C4—51no—
777C22×C4⋊C4—51no—
778C22×C22⋊C4—51no—
779C22×C22⋊C4—51no—
780C22×C22⋊C4—51no—
781C22×C22⋊C4—51no—
782C22×C42—51no—
783C22×C42C2×D511yescharacteristic, complemented
784#399—51no—
785#399—51no—
786#399—51no—
787#399—51no—
788#398—51no—
789#398—51no—
790#397—51no—
791#397—51no—
792#396—51no—
793#396—51no—
794#396—51no—
795#396—51no—
796#395—51no—
797#394—51no—
798#394—51no—
799#394—51no—
800#394—51no—
801#394—51no—
802#394—51no—
803#394—51no—
804#394—51no—
805#394—51no—
806#393—51no—
807#392—51no—
808#392—51no—
809#392—51no—
810#392—51no—
811#392—51no—
812#392—51no—
813#392—51no—
814#392—51no—
815#392—51no—
816#390—51no—
817#390C2×D511yescharacteristic, complemented
818#389—51no—
819#389C2×D511yescharacteristic, complemented
820#388—51no—
821#388—51no—
822#388—51no—
823#388—51no—
824#388—51no—
825#388—51no—
826#388C2×D511yescharacteristic, complemented
827#388C2×D511yescharacteristic, complemented
828#387—51no—
829#387—51no—
830#387—51no—
831#387—51no—
832#386—51no—
833#386—51no—
834#386—51no—
835#386—51no—
836#386—51no—
837#386—51no—
838#386—51no—
839#386—51no—
840#386—51no—
841#386—51no—
842#386—51no—
843#386—51no—
844#386—51no—
845#386—51no—
846#386—51no—
847#386C2×D511yescharacteristic
848#386C2×D511yescharacteristic, complemented
849#385—51no—
850#385—51no—
851#385—51no—
852#385—51no—
853#385—51no—
854#385—51no—
855#385—51no—
856#385—51no—
857#385—51no—
858#385—51no—
859#385—51no—
860#385—51no—
861#385—51no—
862#380—51no—
863#380C2×D511yescharacteristic, complemented
864#379—51no—
865#379—51no—
866#379—51no—
867C4×C4⋊C4—51no—
868C4×C4⋊C4C2×D511yescharacteristic, complemented
869C4×C22⋊C4—51no—
870C4×C22⋊C4—51no—
871C4×C22⋊C4—51no—
872C4×C22⋊C4—51no—
873C4×C22⋊C4—51no—
874C4×C22⋊C4—51no—
875C4×C22⋊C4C2×D511yescharacteristic, complemented
876C4×C22⋊C4C2×D511yescharacteristic, complemented
877#376—51no—
878C23×C5—21no—
879C23×C5—21no—
880C23×C5—21no—
881C23×C5—21no—
882C23×C5—21no—
883C23×C5—21no—
884C23×C5—21no—
885C23×C5—21no—
886C23×C5—21no—
887C23×C5—21no—
888C23×C5—21no—
889C23×C5—21no—
890C23×C5—21no—
891C23×C5—21no—
892C23×C5—21no—
893C23×C5—21no—
894C23×C5—21no—
895C23×C5C22×D412yes—
896C23×C5C2×#4112yes—
897C23×C5C2×#4112yes—
898C23×C5C2×#4112yes—
899C23×C5C2511yescharacteristic
900C22×D5—21no—
901C22×D5—21no—
902C22×D5—21no—
903C22×D5—21no—
904C22×D5—28no—
905C22×D5—28no—
906C22×D5—28no—
907C22×D5—21no—
908C22×D5—21no—
909C22×D5—21no—
910C22×D5—21no—
911C22×D5—21no—
912C22×D5—21no—
913C22×D5—21no—
914C22×D5—21no—
915C22×D5—21no—
916C22×D5—21no—
917C22×D5—21no—
918C22×D5—21no—
919C22×D5—21no—
920C22×D5—21no—
921C22×D5—21no—
922C22×D5—21no—
923C22×D5—21no—
924C22×D5—21no—
925C22×D5—21no—
926C22×D5—21no—
927C22×D5—21no—
928C22×D5—21no—
929C22×D5—21no—
930C22×D5—21no—
931C22×D5—28no—
932C22×D5—44no—
933C22×D5—44no—
934C22×D5—44no—
935C22×D5—44no—
936C22×D5—44no—
937C22×D5—44no—
938C22×D5—44no—
939C22×D5—44no—
940C22×D5—44no—
941C22×D5—44no—
942C22×D5—44no—
943C22×D5—44no—
944C22×D5—44no—
945C22×D5—44no—
946C22×D5—44no—
947C22×D5—44no—
948C22×D5—44no—
949C22×D5C22×D412yes—
950C22×D5C22×D412yes—
951C22×D5C22×D412yes—
952C22×D5C2×#4112yes—
953C22×D5C2×#4112yes—
954C22×D5C2×#4112yes—
955C22×D5C2×#4112yes—
956C5×D4—28no—
957C5×D4—44no—
958C5×D4—44no—
959C2×C4×C5—28no—
960C2×C4×C5—21no—
961C2×C4×C5—21no—
962C2×C4×C5—21no—
963C2×C4×C5—21no—
964C2×C4×C5—21no—
965C2×C4×C5—21no—
966C2×C4×C5—21no—
967C2×C4×C5—21no—
968C2×C4×C5—21no—
969C2×C4×C5—21no—
970C2×C4×C5—28no—
971C2×C4×C5—21no—
972C2×C4×C5—21no—
973C2×C4×C5—21no—
974C2×C4×C5—21no—
975C2×C4×C5—21no—
976C2×C4×C5—21no—
977C2×C4×C5—21no—
978C2×C4×C5—21no—
979C2×C4×C5—21no—
980C2×C4×C5—21no—
981C2×C4×C5—21no—
982C2×C4×C5—21no—
983C2×C4×C5—21no—
984C2×C4×C5—21no—
985C2×C4×C5—21no—
986C2×C4×C5—21no—
987C2×C4×C5—21no—
988C2×C4×C5—21no—
989C2×C4×C5—44no—
990C2×C4×C5—44no—
991C2×C4×C5—44no—
992C2×C4×C5C22×D412yes—
993C2×C4×C5C22×D412yes—
994C2×C4×C5C22×D412yes—
995C2×C4×C5C22×D412yes—
996C2×C4×C5C22×D412yes—
997C2×C4×C5C2×#4112yes—
998C2×C4×C5C2×#4112yes—
999C2×C4×C5H(5,𝔽2)12yes—
1000C22⋊D5—28no—
1001C22⋊D5—28no—
1002C22⋊D5—44no—
1003C22⋊D5—44no—
1004C22⋊D5—44no—
1005C22⋊D5—44no—
1006C22⋊D5—44no—
1007C22⋊D5—44no—
1008C22⋊D5—44no—
1009C2×Dic5—21no—
1010C2×Dic5—21no—
1011C2×Dic5—21no—
1012C2×Dic5—21no—
1013C2×Dic5—21no—
1014C2×Dic5—21no—
1015C2×Dic5—21no—
1016C2×Dic5—21no—
1017C2×Dic5—21no—
1018C2×Dic5—21no—
1019C2×Dic5—21no—
1020C2×Dic5—21no—
1021C2×Dic5—21no—
1022C2×Dic5—21no—
1023C2×Dic5—21no—
1024C2×Dic5—21no—
1025C2×Dic5—21no—
1026C2×Dic5—21no—
1027C2×Dic5—21no—
1028C2×Dic5—21no—
1029C2×Dic5—21no—
1030C2×Dic5—21no—
1031C2×Dic5—21no—
1032C2×Dic5—21no—
1033C2×Dic5—21no—
1034C2×Dic5—21no—
1035C2×Dic5—21no—
1036C2×Dic5—21no—
1037C2×Dic5—44no—
1038C2×Dic5—44no—
1039C2×Dic5—44no—
1040C2×Dic5C22×D412yes—
1041C2×Dic5C22×D412yes—
1042C2×Dic5C22×D412yes—
1043C2×Dic5C22×D412yes—
1044C2×Dic5C22×D412yes—
1045D20—28no—
1046D20—28no—
1047D20—28no—
1048D20—28no—
1049D20—28no—
1050D20—44no—
1051D20—44no—
1052C4×D5—28no—
1053C4×D5—28no—
1054C4×D5—28no—
1055C4×D5—28no—
1056C4×D5—44no—
1057C4×D5—44no—
1058C4×D5—44no—
1059C4×D5—44no—
1060C4×D5—44no—
1061C4×D5—44no—
1062C4×D5—44no—
1063C4×D5—44no—
1064C4×D5—44no—
1065Dic10—44no—
1066C25—51no—
1067C25—51no—
1068C25—51no—
1069C2×#41—104no—
1070C2×#41—104no—
1071C2×#41—202no—
1072C22×Q8—51no—
1073C22×D4—51no—
1074C22×D4—51no—
1075C22×D4—51no—
1076C22×D4—51no—
1077C22×D4—51no—
1078C22×D4—51no—
1079C22×D4—51no—
1080C22×D4—51no—
1081C22×D4—51no—
1082C22×D4—51no—
1083C22×D4—51no—
1084C22×D4—51no—
1085C22×D4—51no—
1086C22×D4—51no—
1087C22×D4—51no—
1088C22×D4—51no—
1089C22×D4—104no—
1090C22×D4—104no—
1091C22×D4—104no—
1092C22×D4—104no—
1093C22×D4—104no—
1094C22×D4—104no—
1095C22×D4C22×D511yescharacteristic
1096C22×D4C22×D511yescharacteristic
1097C22×D4C22×D511yescharacteristic
1098C23×C4—51no—
1099C23×C4—51no—
1100C23×C4—51no—
1101C23×C4—51no—
1102C23×C4—51no—
1103C23×C4—51no—
1104C23×C4—51no—
1105C23×C4—51no—
1106C23×C4—51no—
1107C23×C4—51no—
1108C23×C4—51no—
1109C23×C4—51no—
1110C23×C4—51no—
1111C23×C4—51no—
1112C23×C4—51no—
1113C23×C4—51no—
1114C23×C4—104no—
1115C23×C4—104no—
1116C23×C4—104no—
1117C23×C4—104no—
1118C23×C4—104no—
1119C23×C4—104no—
1120C23×C4—202no—
1121C23×C4—202no—
1122C23×C4—202no—
1123C23×C4C22×D511yescharacteristic
1124C23×C4C22×D511yescharacteristic
1125C23×C4C22×D511yescharacteristic
1126C23×C4C22×D511yescharacteristic
1127C23×C4C22×D511yescharacteristic
1128#123—104no—
1129#123—104no—
1130#123—104no—
1131#123—104no—
1132C22⋊Q8—104no—
1133C22⋊Q8—104no—
1134C22⋊Q8—104no—
1135C22⋊Q8—104no—
1136#121—24no—
1137#121—104no—
1138#121—104no—
1139#121—104no—
1140#121—104no—
1141#121—104no—
1142#120—104no—
1143#120—104no—
1144#120—104no—
1145#120—104no—
1146#120—104no—
1147#120—104no—
1148#120—104no—
1149C4×D4—24no—
1150C4×D4—24no—
1151C4×D4—24no—
1152C4×D4—58no—
1153C4×D4—58no—
1154C4×D4—104no—
1155C4×D4—104no—
1156C4×D4—104no—
1157C4×D4—104no—
1158C4×D4—104no—
1159C4×D4—104no—
1160C4×D4—104no—
1161C4×D4—104no—
1162C4×D4—104no—
1163C4×D4—104no—
1164C4×D4—104no—
1165C4×D4—104no—
1166C4×D4—104no—
1167C4×D4—104no—
1168C4×D4—104no—
1169C4×D4—104no—
1170C4×D4—104no—
1171C4×D4—202no—
1172C4×D4—202no—
1173#117—104no—
1174#117—104no—
1175C2×C4⋊C4—51no—
1176C2×C4⋊C4—51no—
1177C2×C4⋊C4—51no—
1178C2×C4⋊C4—51no—
1179C2×C4⋊C4—51no—
1180C2×C4⋊C4—51no—
1181C2×C4⋊C4—51no—
1182C2×C4⋊C4—51no—
1183C2×C4⋊C4—51no—
1184C2×C4⋊C4—51no—
1185C2×C4⋊C4—51no—
1186C2×C4⋊C4—51no—
1187C2×C4⋊C4—51no—
1188C2×C4⋊C4—51no—
1189C2×C4⋊C4—51no—
1190C2×C4⋊C4—51no—
1191C2×C4⋊C4—51no—
1192C2×C4⋊C4—51no—
1193C2×C4⋊C4—51no—
1194C2×C4⋊C4—104no—
1195C2×C4⋊C4—104no—
1196C2×C4⋊C4C22×D511yescharacteristic
1197C2×C4⋊C4C22×D511yescharacteristic
1198C2×C4⋊C4C22×D511yescharacteristic
1199C2×C4⋊C4C22×D511yescharacteristic
1200C2×C4⋊C4C22×D511yescharacteristic
1201C2×C22⋊C4—51no—
1202C2×C22⋊C4—51no—
1203C2×C22⋊C4—51no—
1204C2×C22⋊C4—51no—
1205C2×C22⋊C4—51no—
1206C2×C22⋊C4—51no—
1207C2×C22⋊C4—51no—
1208C2×C22⋊C4—51no—
1209C2×C22⋊C4—51no—
1210C2×C22⋊C4—51no—
1211C2×C22⋊C4—51no—
1212C2×C22⋊C4—51no—
1213C2×C22⋊C4—51no—
1214C2×C22⋊C4—51no—
1215C2×C22⋊C4—51no—
1216C2×C22⋊C4—51no—
1217C2×C22⋊C4—51no—
1218C2×C22⋊C4—51no—
1219C2×C22⋊C4—51no—
1220C2×C22⋊C4—51no—
1221C2×C22⋊C4—51no—
1222C2×C22⋊C4—51no—
1223C2×C22⋊C4—51no—
1224C2×C22⋊C4—51no—
1225C2×C22⋊C4—51no—
1226C2×C22⋊C4—51no—
1227C2×C22⋊C4—51no—
1228C2×C22⋊C4—51no—
1229C2×C22⋊C4—51no—
1230C2×C22⋊C4—51no—
1231C2×C22⋊C4—51no—
1232C2×C22⋊C4—51no—
1233C2×C22⋊C4—51no—
1234C2×C22⋊C4—51no—
1235C2×C22⋊C4—51no—
1236C2×C22⋊C4—51no—
1237C2×C22⋊C4—51no—
1238C2×C22⋊C4—51no—
1239C2×C22⋊C4—51no—
1240C2×C22⋊C4—51no—
1241C2×C22⋊C4—51no—
1242C2×C22⋊C4—51no—
1243C2×C22⋊C4—104no—
1244C2×C22⋊C4—104no—
1245C2×C22⋊C4—104no—
1246C2×C22⋊C4—104no—
1247C2×C22⋊C4C22×D511yescharacteristic
1248C2×C22⋊C4C22×D511yescharacteristic
1249C2×C22⋊C4C22×D511yescharacteristic
1250C2×C22⋊C4C22×D511yescharacteristic
1251C2×C22⋊C4C22×D511yescharacteristic
1252C2×C22⋊C4C22×D511yescharacteristic
1253C2×C22⋊C4C22×D511yescharacteristic
1254C2×C22⋊C4C22×D511yescharacteristic
1255C2×C22⋊C4C22×D511yescharacteristic
1256C2×C22⋊C4C22×D511yescharacteristic
1257C2×C42—24no—
1258C2×C42—51no—
1259C2×C42—51no—
1260C2×C42—51no—
1261C2×C42—51no—
1262C2×C42—51no—
1263C2×C42—104no—
1264C2×C42C22×D511yescharacteristic
1265C2×C42C22×D511yescharacteristic
1266C2×C42C22×D511yescharacteristic
1267C2×C42C22×D511yescharacteristic
1268C2×C42C22×D511yescharacteristic
1269C2×C42C22×D511yescharacteristic
1270#95—51no—
1271#95—51no—
1272#95—51no—
1273#95—51no—
1274#95—51no—
1275#95—51no—
1276#95—51no—
1277#95—51no—
1278#95—51no—
1279#95—51no—
1280#95—51no—
1281#95—51no—
1282#95—51no—
1283#95—51no—
1284#95—51no—
1285#95—51no—
1286#95—51no—
1287#95—51no—
1288#95C22×D511yescharacteristic
1289#95C22×D511yescharacteristic
1290#95C22×D511yescharacteristic
1291#95C22×D511yescharacteristic
1292#95C22×D511yescharacteristic
1293#95C22×D511yescharacteristic
1294C22×C5—22no—
1295C22×C5—22no—
1296C22×C5—22no—
1297C22×C5—22no—
1298C22×C5—22no—
1299C22×C5—22no—
1300C22×C5—22no—
1301C22×C5—22no—
1302C22×C5—22no—
1303C22×C5—41no—
1304C22×C5—41no—
1305C22×C5—41no—
1306C22×C5—41no—
1307C22×C5—41no—
1308C22×C5—41no—
1309C22×C5—41no—
1310C22×C5—41no—
1311C22×C5—41no—
1312C22×C5—41no—
1313C22×C5—41no—
1314C22×C5#52514yescomplemented
1315C22×C5C23×D411yescharacteristic
1316C22×C5C23×D411yescharacteristic
1317C22×C5C22×#4111yescharacteristic
1318C22×C5C22×#4111yescharacteristic
1319C22×C5C22×#4111yescharacteristic
1320C22×C5C2×H(5,𝔽2)11yescharacteristic
1321C22×C5#58511yescharacteristic
1322C2×D5—22no—
1323C2×D5—22no—
1324C2×D5—22no—
1325C2×D5—22no—
1326C2×D5—22no—
1327C2×D5—22no—
1328C2×D5—22no—
1329C2×D5—22no—
1330C2×D5—22no—
1331C2×D5—22no—
1332C2×D5—22no—
1333C2×D5—22no—
1334C2×D5—22no—
1335C2×D5—22no—
1336C2×D5—22no—
1337C2×D5—22no—
1338C2×D5—22no—
1339C2×D5—22no—
1340C2×D5—416no—
1341C2×D5—416no—
1342C2×D5—416no—
1343C2×D5—41no—
1344C2×D5—41no—
1345C2×D5—41no—
1346C2×D5—41no—
1347C2×D5—41no—
1348C2×D5—41no—
1349C2×D5—41no—
1350C2×D5—41no—
1351C2×D5—41no—
1352C2×D5—41no—
1353C2×D5—41no—
1354C2×D5—41no—
1355C2×D5—41no—
1356C2×D5—41no—
1357C2×D5—41no—
1358C2×D5—41no—
1359C2×D5#52514yescomplemented
1360C4×C5—22no—
1361C4×C5—22no—
1362C4×C5—22no—
1363C4×C5—22no—
1364C4×C5—22no—
1365C4×C5—41no—
1366C4×C5—41no—
1367C4×C5—41no—
1368C4×C5—41no—
1369C4×C5—41no—
1370C4×C5—41no—
1371C4×C5D4214yes—
1372Dic5—22no—
1373Dic5—22no—
1374Dic5—22no—
1375Dic5—22no—
1376Dic5—22no—
1377Dic5—41no—
1378Dic5—41no—
1379Dic5—41no—
1380Dic5—41no—
1381Dic5—41no—
1382Dic5—41no—
1383C24—51no—
1384C24—51no—
1385C24—51no—
1386C24—51no—
1387C24—51no—
1388C24—54no—
1389C24—102no—
1390C24—102no—
1391C24—102no—
1392C24—102no—
1393C24—102no—
1394C24—102no—
1395C24—102no—
1396C24—102no—
1397C24—102no—
1398C24—102no—
1399C24—102no—
1400C24—102no—
1401C24—102no—
1402C24—102no—
1403C24—201no—
1404C24—201no—
1405C24—201no—
1406C24—201no—
1407C24—201no—
1408C24—201no—
1409C24C23×D511yescharacteristic
1410C24C23×D511yescharacteristic
1411C24C23×D511yescharacteristic
1412#41—2016no—
1413C2×Q8—102no—
1414C2×Q8—102no—
1415C2×Q8—201no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—41no—
1424C2×D4—54no—
1425C2×D4—54no—
1426C2×D4—54no—
1427C2×D4—102no—
1428C2×D4—102no—
1429C2×D4—102no—
1430C2×D4—102no—
1431C2×D4—102no—
1432C2×D4—102no—
1433C2×D4—102no—
1434C2×D4—102no—
1435C2×D4—102no—
1436C2×D4—102no—
1437C2×D4—1032no—
1438C2×D4—102no—
1439C2×D4—102no—
1440C2×D4—102no—
1441C2×D4—102no—
1442C2×D4—102no—
1443C2×D4—102no—
1444C2×D4—102no—
1445C2×D4—102no—
1446C2×D4—1032no—
1447C2×D4—102no—
1448C2×D4—102no—
1449C2×D4—102no—
1450C2×D4—102no—
1451C2×D4—102no—
1452C2×D4—102no—
1453C2×D4—102no—
1454C2×D4—102no—
1455C2×D4—102no—
1456C2×D4—102no—
1457C2×D4—102no—
1458C2×D4—102no—
1459C2×D4—102no—
1460C2×D4—102no—
1461C2×D4—102no—
1462C2×D4—102no—
1463C2×D4—102no—
1464C2×D4—102no—
1465C2×D4—201no—
1466C2×D4—201no—
1467C2×D4—201no—
1468C2×D4—201no—
1469C2×D4—201no—
1470C2×D4—201no—
1471C2×D4—201no—
1472C2×D4—201no—
1473C2×D4—201no—
1474C2×D4#70914yescomplemented
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—22no—
1487C22×C4—22no—
1488C22×C4—41no—
1489C22×C4—51no—
1490C22×C4—51no—
1491C22×C4—51no—
1492C22×C4—51no—
1493C22×C4—51no—
1494C22×C4—54no—
1495C22×C4—54no—
1496C22×C4—54no—
1497C22×C4—51no—
1498C22×C4—51no—
1499C22×C4—51no—
1500C22×C4—51no—
1501C22×C4—51no—
1502C22×C4—51no—
1503C22×C4—102no—
1504C22×C4—102no—
1505C22×C4—102no—
1506C22×C4—102no—
1507C22×C4—102no—
1508C22×C4—102no—
1509C22×C4—102no—
1510C22×C4—102no—
1511C22×C4—102no—
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—102no—
1538C22×C4—201no—
1539C22×C4—201no—
1540C22×C4—201no—
1541C22×C4—201no—
1542C22×C4—201no—
1543C22×C4—201no—
1544C22×C4—201no—
1545C22×C4—2016no—
1546C22×C4—2016no—
1547C22×C4—2016no—
1548C22×C4—201no—
1549C22×C4—201no—
1550C22×C4—201no—
1551C22×C4D4×D514yes—
1552C22×C4C23×D511yescharacteristic
1553C22×C4C23×D511yescharacteristic
1554C22×C4C23×D511yescharacteristic
1555C22×C4C23×D511yescharacteristic
1556C22×C4C23×D511yescharacteristic
1557C22×C4C23×D511yescharacteristic
1558C22×C4C23×D511yescharacteristic
1559C22×C4C23×D511yescharacteristic
1560C22×C4C23×D511yescharacteristic
1561C22×C4C23×D511yescharacteristic
1562C22×C4C23×D511yescharacteristic
1563C22×C4C23×D511yescharacteristic
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—41no—
1569C4⋊C4—54no—
1570C4⋊C4—54no—
1571C4⋊C4—102no—
1572C4⋊C4—102no—
1573C4⋊C4—102no—
1574C4⋊C4—102no—
1575C4⋊C4—102no—
1576C4⋊C4—102no—
1577C4⋊C4—102no—
1578C4⋊C4—102no—
1579C4⋊C4—102no—
1580C4⋊C4—102no—
1581C4⋊C4—102no—
1582C4⋊C4—102no—
1583C4⋊C4—102no—
1584C4⋊C4—102no—
1585C4⋊C4—201no—
1586C4⋊C4—201no—
1587C4⋊C4—201no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—54no—
1599C22⋊C4—54no—
1600C22⋊C4—54no—
1601C22⋊C4—54no—
1602C22⋊C4—102no—
1603C22⋊C4—102no—
1604C22⋊C4—102no—
1605C22⋊C4—102no—
1606C22⋊C4—102no—
1607C22⋊C4—102no—
1608C22⋊C4—102no—
1609C22⋊C4—102no—
1610C22⋊C4—102no—
1611C22⋊C4—102no—
1612C22⋊C4—102no—
1613C22⋊C4—102no—
1614C22⋊C4—102no—
1615C22⋊C4—102no—
1616C22⋊C4—102no—
1617C22⋊C4—102no—
1618C22⋊C4—102no—
1619C22⋊C4—102no—
1620C22⋊C4—102no—
1621C22⋊C4—102no—
1622C22⋊C4—102no—
1623C22⋊C4—102no—
1624C22⋊C4—102no—
1625C22⋊C4—102no—
1626C22⋊C4—102no—
1627C22⋊C4—102no—
1628C22⋊C4—102no—
1629C22⋊C4—102no—
1630C22⋊C4—102no—
1631C22⋊C4—102no—
1632C22⋊C4—102no—
1633C22⋊C4—201no—
1634C22⋊C4—201no—
1635C22⋊C4—201no—
1636C22⋊C4—201no—
1637C22⋊C4—201no—
1638C22⋊C4—201no—
1639C22⋊C4—201no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—54no—
1646C42—102no—
1647C42—102no—
1648C42—102no—
1649C42—102no—
1650C42D4×D514yescomplemented
1651C2×C5—24no—
1652C2×C5—42no—
1653C2×C5—81no—
1654C2×C5C2×#52511yescharacteristic
1655C2×C5C2×#52511yescharacteristic
1656C2×C5#345911yescharacteristic
1657C2×C5C2×D4211yescharacteristic
1658C2×C5D4×#4111yescharacteristic
1659C2×C5D4×#4111yescharacteristic
1660C2×C5#348111yescharacteristic
1661D5—24no—
1662D5—42no—
1663D5—42no—
1664D5—42no—
1665D5—42no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—52no—
1684C23—52no—
1685C23—52no—
1686C23—52no—
1687C23—52no—
1688C23—52no—
1689C23—52no—
1690C23—108no—
1691C23—108no—
1692C23—108no—
1693C23—101no—
1694C23—101no—
1695C23—101no—
1696C23—101no—
1697C23—108no—
1698C23—101no—
1699C23—101no—
1700C23—101no—
1701C23—101no—
1702C23—101no—
1703C23—101no—
1704C23—101no—
1705C23—101no—
1706C23—101no—
1707C23—101no—
1708C23—101no—
1709C23—101no—
1710C23—101no—
1711C23—101no—
1712C23—101no—
1713C23—101no—
1714C23—101no—
1715C23—101no—
1716C23—101no—
1717C23—101no—
1718C23—101no—
1719C23—101no—
1720C23—101no—
1721C23—101no—
1722C23—204no—
1723C23—204no—
1724C23—204no—
1725C23—204no—
1726C23—204no—
1727C23—204no—
1728C23—204no—
1729C23—204no—
1730C23—204no—
1731C23—204no—
1732C23—204no—
1733C23—204no—
1734C23—204no—
1735C23—204no—
1736C23—204no—
1737C23—204no—
1738C23—204no—
1739C23C2×#70912yes—
1740C23C2×#70912yes—
1741C23C2×D4×D512yes—
1742C23D5×#4112yes—
1743C23C24×D511yescharacteristic
1744Q8—204no—
1745D4—28no—
1746D4—44no—
1747D4—44no—
1748D4—108no—
1749D4—108no—
1750D4—108no—
1751D4—108no—
1752D4—108no—
1753D4—108no—
1754D4—108no—
1755D4—204no—
1756D4—204no—
1757D4—204no—
1758D4—204no—
1759D4—204no—
1760D4—204no—
1761D4—204no—
1762D4—204no—
1763D4—204no—
1764C2×C4—28no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—28no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—44no—
1795C2×C4—44no—
1796C2×C4—44no—
1797C2×C4—52no—
1798C2×C4—52no—
1799C2×C4—52no—
1800C2×C4—52no—
1801C2×C4—52no—
1802C2×C4—108no—
1803C2×C4—101no—
1804C2×C4—101no—
1805C2×C4—101no—
1806C2×C4—101no—
1807C2×C4—101no—
1808C2×C4—101no—
1809C2×C4—101no—
1810C2×C4—101no—
1811C2×C4—101no—
1812C2×C4—101no—
1813C2×C4—108no—
1814C2×C4—108no—
1815C2×C4—108no—
1816C2×C4—101no—
1817C2×C4—101no—
1818C2×C4—101no—
1819C2×C4—101no—
1820C2×C4—101no—
1821C2×C4—101no—
1822C2×C4—101no—
1823C2×C4—101no—
1824C2×C4—101no—
1825C2×C4—101no—
1826C2×C4—101no—
1827C2×C4—101no—
1828C2×C4—101no—
1829C2×C4—101no—
1830C2×C4—101no—
1831C2×C4—101no—
1832C2×C4—101no—
1833C2×C4—101no—
1834C2×C4—204no—
1835C2×C4—204no—
1836C2×C4—204no—
1837C2×C4—204no—
1838C2×C4—204no—
1839C2×C4—204no—
1840C2×C4—204no—
1841C2×C4—204no—
1842C2×C4—204no—
1843C2×C4—204no—
1844C2×C4—204no—
1845C2×C4—204no—
1846C2×C4C2×#70912yes—
1847C2×C4C2×D4×D512yes—
1848C2×C4C2×D4×D512yes—
1849C2×C4C2×D4×D512yes—
1850C2×C4C2×D4×D512yes—
1851C2×C4C2×D4×D512yes—
1852C2×C4D5×#4112yes—
1853C2×C4#414912yes—
1854C5#3465511yescharacteristic, complemented, Sylow
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—54no—
1876C22—102no—
1877C22—102no—
1878C22—102no—
1879C22—102no—
1880C22—102no—
1881C22—102no—
1882C22—102no—
1883C22—102no—
1884C22—102no—
1885C22—102no—
1886C22—102no—
1887C22—102no—
1888C22—102no—
1889C22—102no—
1890C22—102no—
1891C22—102no—
1892C22—102no—
1893C22—102no—
1894C22—2016no—
1895C22—2016no—
1896C22—2016no—
1897C22—201no—
1898C22—201no—
1899C22—201no—
1900C22—201no—
1901C22—201no—
1902C22—201no—
1903C22—201no—
1904C22—201no—
1905C22—201no—
1906C22—201no—
1907C22—201no—
1908C22—201no—
1909C22—201no—
1910C22—201no—
1911C22—201no—
1912C22—201no—
1913C22#6588114yescomplemented
1914C22C22×#70911yescharacteristic
1915C22C22×D4×D511yescharacteristic
1916C22C22×D4×D511yescharacteristic
1917C22C2×D5×#4111yescharacteristic
1918C22C2×D5×#4111yescharacteristic
1919C22C2×#414911yescharacteristic
1920C22#6628311yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—102no—
1933C4—102no—
1934C4—102no—
1935C4—102no—
1936C4—102no—
1937C4—201no—
1938C4—201no—
1939C4—201no—
1940C4—201no—
1941C4—201no—
1942C4—201no—
1943C4#6594314yes—
1944C2—24no—
1945C2—42no—
1946C2—81no—
1947C2—104no—
1948C2—202no—
1949C2—202no—
1950C2—202no—
1951C2—202no—
1952C2C2×#6588111yescharacteristic
1953C2D4×#70911yescharacteristic
1954C2#1061774411yescharacteristic
1955C2C2×#6594311yescharacteristic
1956C2D5×#52511yescharacteristic
1957C2#1061804811yescharacteristic
1958C2#1061813911yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutator, socle, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC4×C5×#121C2
hypercenterC4×#121D5
hypocenterC5#34655
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#65881C2semidirect
2. C2×#65881C2semidirect
3. C2×C4×D4×D5C2semidirect
4. C22×C4×D20C2semidirect
5. C4×C5×#121C2semidirect
6. #10614437C2semidirect
7. #10614433C2semidirect
8. C4×#4083C2semidirect
9. C4×#4083C2semidirect
10. #10614078C2semidirect
11. #10613796C2semidirect
12. #10608177C2semidirect
13. #10608173C2semidirect
14. #10607957C2semidirect
15. #10607956C2semidirect
16. #10607587C2semidirect
17. #10607579C2semidirect
18. #10607576C2semidirect
19. #10607235C2semidirect
20. #10606618C2semidirect
21. #10606615C2semidirect
22. #10606441C2semidirect
23. #10606435C2semidirect
24. #10605752C2semidirect
25. #10605627C2semidirect
26. #10605507C2semidirect
27. #10605485C2semidirect
28. #10605312C2semidirect
29. #10605311C2semidirect
30. C4×#4030C2semidirect
31. C4×#4028C2semidirect
33. C22×#709C22semidirect
36. C23×C4×D5C22semidirect
37. C23×C4×D5C22semidirect
40. C2×C4×C5×D4C22semidirect
41. C2×C4×C5×D4C22semidirect
42. C22×C42×C5C22semidirect
44. C2×#4085C22semidirect
47. C2×#4083C22semidirect
48. C2×#4083C22semidirect
51. C2×C4×C22⋊D5C22semidirect
52. C2×C4×C22⋊D5C22semidirect
53. C2×C4×C22⋊D5C22semidirect
54. C2×C4×C22⋊D5C22semidirect
55. C2×C4×C22⋊D5C22semidirect
56. C2×C4×C22⋊D5C22semidirect
58. C22×#685C22semidirect
59. C22×C4⋊Dic5C22semidirect
63. C2×#4042C22semidirect
64. C2×#4042C22semidirect
65. C2×#4040C22semidirect
66. C2×#4040C22semidirect
67. C2×#4039C22semidirect
68. C2×D5×C4⋊C4C22semidirect
71. C2×#4030C22semidirect
72. C2×#4029C22semidirect
73. C2×#4029C22semidirect
78. C2×#4027C22semidirect
80. C2×D5×C22⋊C4C22semidirect
81. C2×#4024C22semidirect
82. C2×#4024C22semidirect
88. C2×C4×D20C22semidirect
89. C2×C4×D20C22semidirect
90. C2×C4×D20C22semidirect
91. C2×C4×D20C22semidirect
92. C2×C4×D20C22semidirect
93. C2×C4×D20C22semidirect
94. C2×#4018C22semidirect
95. C2×#4018C22semidirect
96. C2×C42×D5C22semidirect
97. C5×#390C22semidirect
98. C5×#389C22semidirect
99. C5×#388C22semidirect
100. C5×#388C22semidirect
102. C5×#386C22semidirect
103. C5×#380C22semidirect
104. C4×C5×C4⋊C4C22semidirect
105. C4×C5×C22⋊C4C22semidirect
106. C4×C5×C22⋊C4C22semidirect
107. #65512C22semidirect
108. #65512C22semidirect
110. #65509C22semidirect
113. #65499C22semidirect
114. #65499C22semidirect
115. C4×C22⋊Dic5C22semidirect
116. #65283C22semidirect
117. #65283C22semidirect
118. #65281C22semidirect
119. #65281C22semidirect
120. #65280C22semidirect
121. #65280C22semidirect
122. #65279C22semidirect
123. #65279C22semidirect
124. #65278C22semidirect
125. #65278C22semidirect
126. #65278C22semidirect
127. #65278C22semidirect
128. #65278C22semidirect
129. #65278C22semidirect
130. #65250C22semidirect
131. #65250C22semidirect
134. #65249C22semidirect
135. #65249C22semidirect
136. #65249C22semidirect
137. #65248C22semidirect
138. #65248C22semidirect
139. #65247C22semidirect
140. #65246C22semidirect
141. #65245C22semidirect
142. #65245C22semidirect
143. #65245C22semidirect
144. #65245C22semidirect
145. #65245C22semidirect
147. #65244C22semidirect
148. #65244C22semidirect
149. #65240C22semidirect
150. #65239C22semidirect
151. #65238C22semidirect
152. #65238C22semidirect
153. #65237C22semidirect
154. #65235C22semidirect
155. #65235C22semidirect
156. #65229C22semidirect
157. #65229C22semidirect
158. C4×#685C22semidirect
159. C4×#685C22semidirect
160. C4×#685C22semidirect
161. C4×#685C22semidirect
162. C4×#685C22semidirect
163. #65222C22semidirect
164. #65222C22semidirect
165. #65221C22semidirect
166. C4×#683C22semidirect
167. #64965C22semidirect
168. #64964C22semidirect
169. #64963C22semidirect
170. #64962C22semidirect
171. #64961C22semidirect
172. #64961C22semidirect
173. #64961C22semidirect
176. #64958C22semidirect
177. #64957C22semidirect
178. #64957C22semidirect
179. #64956C22semidirect
184. #64954C22semidirect
185. #64950C22semidirect
186. #64946C22semidirect
187. #64945C22semidirect
188. #64943C22semidirect
189. #64943C22semidirect
190. #64936C22semidirect
302. C4×C22⋊D5D4semidirect
392. C4×D20D4semidirect
445. C4×#121D5semidirect
474. C23×D5#41semidirect
488. C2×C5×D4#41semidirect
586. C2×D20#41semidirect
627. C2×C4×D5C2×D4semidirect
628. C2×C4×D5C2×D4semidirect
652. C42×C5C2×D4semidirect
693. #685C2×D4semidirect
694. #685C2×D4semidirect
700. C4⋊Dic5C2×D4semidirect
713. #683C2×D4semidirect
718. C4×Dic5C2×D4semidirect
772. C2×C4×D4C2×D5semidirect
773. C2×C4×D4C2×D5semidirect
783. C22×C42C2×D5semidirect
817. #390C2×D5semidirect
819. #389C2×D5semidirect
826. #388C2×D5semidirect
827. #388C2×D5semidirect
848. #386C2×D5semidirect
863. #380C2×D5semidirect
868. C4×C4⋊C4C2×D5semidirect
875. C4×C22⋊C4C2×D5semidirect
876. C4×C22⋊C4C2×D5semidirect
1314. C22×C5#525semidirect
1359. C2×D5#525semidirect
1474. C2×D4#709semidirect
1650. C42D4×D5semidirect
1854. C5#34655semidirect
1913. C22#65881semidirect

Maximal subgroups

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

subgroupindex
C2×#658812
C2×C4×D4×D52
C22×C4×D202
C4×C5×#1212
#106144372
#106144332
C4×#40832
#106140782
#106137962
#106081772
#106081732
#106079572
#106079562
#106075872
#106075792
#106075762
#106072352
#106066182
#106066152
#106064412
#106064352
#106057522
#106056272
#106055072
#106054852
#106053122
#106053112
C4×#40302
C4×#40282
#346555