Finite Group Databasebeta

← #12278425

Subgroups — #12278425

Order 1280.

3114 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66162C211yesmaximal, characteristic, complemented
2C2×#65820C211yesmaximal, characteristic, complemented
3C5×#2404C211yesmaximal, characteristic, complemented
4#10615828C211yesmaximal, characteristic, complemented
5#10614336C211yesmaximal, characteristic, complemented
6#10614335C211yesmaximal, characteristic, complemented
7#10614317C211yesmaximal, characteristic, complemented
8#10614316C211yesmaximal, characteristic, complemented
9#10613860C211yesmaximal, characteristic, complemented
10#10608597C211yesmaximal, characteristic, complemented
11#10608596C211yesmaximal, characteristic, complemented
12#10608522C211yesmaximal, characteristic, complemented
13#10608518C211yesmaximal, characteristic, complemented
14#10608487C211yesmaximal, characteristic, complemented
15#10608486C211yesmaximal, characteristic, complemented
16#10608416C211yesmaximal, characteristic, complemented
17#10608407C211yesmaximal, characteristic, complemented
18#10606628C211yesmaximal, characteristic, complemented
19#10606623C211yesmaximal, characteristic, complemented
20#10606608C211yesmaximal, characteristic, complemented
21#10606607C211yesmaximal, characteristic, complemented
22D5×#386C211yesmaximal, characteristic, complemented
23#10606510C211yesmaximal, characteristic, complemented
24#10606507C211yesmaximal, characteristic, complemented
25#10606506C211yesmaximal, characteristic, complemented
26#10606482C211yesmaximal, characteristic, complemented
27#10606451C211yesmaximal, characteristic, complemented
28#10606445C211yesmaximal, characteristic, complemented
29#10606390C211yesmaximal, characteristic, complemented
30#10605864C211yesmaximal, characteristic, complemented
31#10605851C211yesmaximal, characteristic, complemented
32C22×C5×#41C2211yescharacteristic, complemented
33C23×C22⋊D5C2211yescharacteristic
34C22×D4×D5C2211yescharacteristic
35C23×C4×D5C2211yescharacteristic, complemented
36C2×C5×#120C2211yescharacteristic
37C2×C5×#120C2211yescharacteristic, complemented
38C22×C5×C22⋊C4C2211yescharacteristic, complemented
39C2×#4099C2211yescharacteristic
40C22×C22⋊Dic5C2211yescharacteristic, complemented
41#66162—28no—
42C2×#4092C2211yescharacteristic, complemented
43C2×#4092C2211yescharacteristic, complemented
44C2×#4092C2211yescharacteristic, complemented
45C2×#4085C2211yescharacteristic, complemented
46C2×#4084C2211yescharacteristic
47C2×#4084C2211yescharacteristic
48C2×#4084C2211yescharacteristic, complemented
49C2×#4084C2211yescharacteristic, complemented
50C2×#4083C2211yescharacteristic
51C2×#4083C2211yescharacteristic
52C2×#4083C2211yescharacteristic
53C2×#4083C2211yescharacteristic, complemented
54C2×#4081C2211yescharacteristic, complemented
55C2×#4081C2211yescharacteristic, complemented
56C2×D4×Dic5C2211yescharacteristic, complemented
57C2×#4075C2211yescharacteristic, complemented
58C2×C4×C22⋊D5C2211yescharacteristic
59C2×C4×C22⋊D5C2211yescharacteristic
60C2×C4×C22⋊D5C2211yescharacteristic, complemented
61C2×C4×C22⋊D5C2211yescharacteristic, complemented
62C2×C4×C22⋊D5C2211yescharacteristic, complemented
63C2×C4×C22⋊D5C2211yescharacteristic, complemented
64C2×C4×C22⋊D5C2211yescharacteristic, complemented
65C2×#4072C2211yescharacteristic, complemented
66C2×#4030C2211yescharacteristic, complemented
67#65820—28no—
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic
70C2×#4027C2211yescharacteristic, complemented
71C2×#4027C2211yescharacteristic, complemented
72C2×#4027C2211yescharacteristic, complemented
73C2×D5×C22⋊C4C2211yescharacteristic
74C2×D5×C22⋊C4C2211yescharacteristic
75C2×D5×C22⋊C4C2211yescharacteristic
76C2×D5×C22⋊C4C2211yescharacteristic, complemented
77C2×#4023C2211yescharacteristic, complemented
78C2×#4023C2211yescharacteristic, complemented
79C5×#393C2211yescharacteristic, complemented
80C5×#393C2211yescharacteristic, complemented
81C5×#392C2211yescharacteristic
82C5×#392C2211yescharacteristic, complemented
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic, complemented
85C5×#386C2211yescharacteristic, complemented
86C5×#386C2211yescharacteristic, complemented
87C5×#386C2211yescharacteristic, complemented
88C5×#386C2211yescharacteristic, complemented
89C5×#381C2211yescharacteristic, complemented
90#65536C2211yescharacteristic, complemented
91#65519C2211yescharacteristic, complemented
92#65512C2211yescharacteristic
93#65512C2211yescharacteristic
94#65512C2211yescharacteristic
95#65512C2211yescharacteristic, complemented
96#65512C2211yescharacteristic, complemented
97#65511C2211yescharacteristic
98#65511C2211yescharacteristic, complemented
99#65511C2211yescharacteristic, complemented
100#65510C2211yescharacteristic, complemented
101#65510C2211yescharacteristic, complemented
102#65509C2211yescharacteristic
103#65509C2211yescharacteristic
104#65509C2211yescharacteristic, complemented
105#65509C2211yescharacteristic, complemented
106#65509C2211yescharacteristic, complemented
107#65502C2211yescharacteristic, complemented
108#65502C2211yescharacteristic, complemented
109#65501C2211yescharacteristic, complemented
110#65500C2211yescharacteristic, complemented
111#65499C2211yescharacteristic, complemented
112#65499C2211yescharacteristic, complemented
113#65250C2211yescharacteristic
114#65250C2211yescharacteristic, complemented
115#65250C2211yescharacteristic, complemented
116#65250C2211yescharacteristic, complemented
117#65250C2211yescharacteristic, complemented
118#65249C2211yescharacteristic
119#65249C2211yescharacteristic
120#65248C2211yescharacteristic, complemented
121#65247C2211yescharacteristic
122#65247C2211yescharacteristic, complemented
123#65246C2211yescharacteristic, complemented
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic
129#65245C2211yescharacteristic
130#65245C2211yescharacteristic, complemented
131#65245C2211yescharacteristic, complemented
132#65245C2211yescharacteristic, complemented
133#65245C2211yescharacteristic, complemented
134#65244C2211yescharacteristic
135#65244C2211yescharacteristic, complemented
136#65242C2211yescharacteristic, complemented
137#65241C2211yescharacteristic, complemented
138#65240C2211yescharacteristic, complemented
139#65239C2211yescharacteristic, complemented
140#65239C2211yescharacteristic, complemented
141#65238C2211yescharacteristic, complemented
142#65238C2211yescharacteristic, complemented
143#65237C2211yescharacteristic, complemented
144#65237C2211yescharacteristic, complemented
145#65237C2211yescharacteristic, complemented
146#65237C2211yescharacteristic, complemented
147#65235C2211yescharacteristic, complemented
148#65234C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65233C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65233C2211yescharacteristic, complemented
153#65233C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65231C2211yescharacteristic, complemented
156C22⋊C4×Dic5C2211yescharacteristic, complemented
157#64964C2211yescharacteristic, complemented
158#64959C2211yescharacteristic, complemented
159#64959C2211yescharacteristic, complemented
160#64958C2211yescharacteristic, complemented
161#64958C2211yescharacteristic, complemented
162#64957C2211yescharacteristic, complemented
163#64957C2211yescharacteristic, complemented
164#64957C2211yescharacteristic, complemented
165#64957C2211yescharacteristic, complemented
166#64957C2211yescharacteristic, complemented
167#64957C2211yescharacteristic, complemented
168#64957C2211yescharacteristic, complemented
169#64956C2211yescharacteristic, complemented
170#64956C2211yescharacteristic, complemented
171#64955C2211yescharacteristic, complemented
172#64955C2211yescharacteristic, complemented
173#64954C2211yescharacteristic, complemented
174#64954C2211yescharacteristic, complemented
175#64954C2211yescharacteristic, complemented
176D5×#95C2211yescharacteristic, complemented
177D5×#95C2211yescharacteristic, complemented
178#64949C2211yescharacteristic, complemented
179#64947C2211yescharacteristic, complemented
180#64946C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64944C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64943C2211yescharacteristic, complemented
185#64942C2211yescharacteristic, complemented
186#64942C2211yescharacteristic, complemented
187#64940C2211yescharacteristic, complemented
188#64939C2211yescharacteristic, complemented
189#35352—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C24×D5C2311yescharacteristic
192C24×D5C2311yescharacteristic
193C2×C5×#41—24no—
194C2×C5×#41—42no—
195C2×C5×#41—42no—
196C22×C5×Q8C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C22×C5×D4C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic
208C22×C22⋊D5—24no—
209C22×C22⋊D5—24no—
210C22×C22⋊D5—24no—
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic
216C22×C22⋊D5C2311yescharacteristic
217C22×C22⋊D5C2311yescharacteristic
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C22×C22⋊D5C2311yescharacteristic
221C22×C22⋊D5C2311yescharacteristic
222C23×Dic5C2311yescharacteristic
223C23×Dic5C2311yescharacteristic
224C23×Dic5C2311yescharacteristic
225C23×Dic5C2311yescharacteristic
226C2×D4×D5—24no—
227C2×D4×D5—42no—
228C2×D4×D5—42no—
229C22×D20C2311yescharacteristic
230C22×C4×D5—24no—
231C22×C4×D5—42no—
232C22×C4×D5—42no—
233C22×C4×D5C2311yescharacteristic
234C22×C4×D5C2311yescharacteristic
235C22×C4×D5C2311yescharacteristic
236C22×C4×D5C2311yescharacteristic
237C22×C4×D5C2311yescharacteristic
238C22×C4×D5C2311yescharacteristic
239C22×C4×D5C2311yescharacteristic
240C22×C4×D5C2311yescharacteristic
241C22×C4×D5C2311yescharacteristic
242C5×#120—42no—
243C5×#120—42no—
244C2×C5×C22⋊C4—24no—
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259#4099—42no—
260C2×C22⋊Dic5—24no—
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284#4092—24no—
285#4092—24no—
286#4092—42no—
287#4085—42no—
288#4084—24no—
289#4084—24no—
290#4084—24no—
291#4084—42no—
292#4083—24no—
293#4083—24no—
294#4083—24no—
295#4083—24no—
296#4081—24no—
297#4081—24no—
298D4×Dic5—42no—
299#4075—42no—
300C4×C22⋊D5—24no—
301C4×C22⋊D5—24no—
302C4×C22⋊D5—24no—
303C4×C22⋊D5—24no—
304C4×C22⋊D5—24no—
305C4×C22⋊D5—24no—
306C4×C22⋊D5D418yescomplemented
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
326#4072—24no—
327C2×C4⋊Dic5C2311yescharacteristic
328C2×C4⋊Dic5C2311yescharacteristic
329C2×C4⋊Dic5C2311yescharacteristic
330C2×C4⋊Dic5C2311yescharacteristic
331C2×C4⋊Dic5C2311yescharacteristic
332C2×C4⋊Dic5C2311yescharacteristic
333C2×C4⋊Dic5C2311yescharacteristic
334C2×#683C2311yescharacteristic
335C2×#683C2311yescharacteristic
336C2×#683C2311yescharacteristic
337C2×#683C2311yescharacteristic
338C2×#683C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×#683C2311yescharacteristic
344C2×#683C2311yescharacteristic
345C2×#683C2311yescharacteristic
346C2×#683C2311yescharacteristic
347C2×C4×Dic5C2311yescharacteristic
348C2×C4×Dic5C2311yescharacteristic
349C2×C4×Dic5C2311yescharacteristic
350C2×C4×Dic5C2311yescharacteristic
351C2×C4×Dic5C2311yescharacteristic
352C2×C4×Dic5C2311yescharacteristic
353C2×C4×Dic5C2311yescharacteristic
354#4030—42no—
355#4027—24no—
356#4027—24no—
357#4027—24no—
358#4027—24no—
359#4027—42no—
360D5×C22⋊C4—24no—
361D5×C22⋊C4—24no—
362D5×C22⋊C4—42no—
363D5×C22⋊C4—42no—
364#4023—24no—
365#4023—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370C5×#95C2311yescharacteristic
371C5×#95C2311yescharacteristic
372C5×#95C2311yescharacteristic
373C5×#95C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#525—51no—
399C2×#518—51no—
400#2609—51no—
401#2600—51no—
402#2598—51no—
403#2598—51no—
404#2535—51no—
405#2534—51no—
406#2477—51no—
407#2471—51no—
408#2464—51no—
409#2463—51no—
410#2457—51no—
411#2456—51no—
412#2450—51no—
413#2444—51no—
414#2437—51no—
415#2424—51no—
416#2424—51no—
417#2418—51no—
418#2418—51no—
419#2410—51no—
420#2410—51no—
421#2407—51no—
422#2404D511yescharacteristic, complemented
423#2403—51no—
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120—51no—
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—41no—
433C24×C5—41no—
434C24×C5—41no—
435C24×C5—41no—
436C24×C5C2411yescharacteristic
437C24×C5C2411yescharacteristic
438C24×C5C2411yescharacteristic
439C24×C5C2411yescharacteristic
440C24×C5C2411yescharacteristic
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—22no—
444C23×D5—22no—
445C23×D5—22no—
446C23×D5—22no—
447C23×D5—22no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5—41no—
454C23×D5#4114yescomplemented
455C23×D5C2411yescharacteristic
456C23×D5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C5×#41—416no—
459C2×C5×Q8—22no—
460C2×C5×Q8—22no—
461C2×C5×Q8—41no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—22no—
465C2×C5×D4—22no—
466C2×C5×D4—22no—
467C2×C5×D4—22no—
468C2×C5×D4—22no—
469C2×C5×D4—22no—
470C2×C5×D4—22no—
471C2×C5×D4—22no—
472C2×C5×D4—22no—
473C2×C5×D4—22no—
474C2×C5×D4—41no—
475C2×C5×D4—41no—
476C2×C5×D4—41no—
477C2×C5×D4—41no—
478C2×C5×D4—41no—
479C2×C5×D4—41no—
480C2×C5×D4—41no—
481C2×C5×D4—41no—
482C2×C5×D4—41no—
483C22×C4×C5—22no—
484C22×C4×C5—22no—
485C22×C4×C5—22no—
486C22×C4×C5—22no—
487C22×C4×C5—22no—
488C22×C4×C5—41no—
489C22×C4×C5—41no—
490C22×C4×C5—41no—
491C22×C4×C5—41no—
492C22×C4×C5—41no—
493C22×C4×C5—41no—
494C22×C4×C5C2×D414yescomplemented
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C22×C4×C5C2411yescharacteristic
498C22×C4×C5C2411yescharacteristic
499C22×C4×C5C2411yescharacteristic
500C22×C4×C5C2411yescharacteristic
501C22×C4×C5C2411yescharacteristic
502C22×C4×C5C2411yescharacteristic
503C22×C4×C5C2411yescharacteristic
504C22×C4×C5C2411yescharacteristic
505C2×C22⋊D5—232no—
506C2×C22⋊D5—22no—
507C2×C22⋊D5—22no—
508C2×C22⋊D5—22no—
509C2×C22⋊D5—22no—
510C2×C22⋊D5—22no—
511C2×C22⋊D5—22no—
512C2×C22⋊D5—22no—
513C2×C22⋊D5—22no—
514C2×C22⋊D5—22no—
515C2×C22⋊D5—22no—
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—41no—
531C2×C22⋊D5—41no—
532C2×C22⋊D5—41no—
533C2×C22⋊D5—41no—
534C2×C22⋊D5—41no—
535C2×C22⋊D5—41no—
536C2×C22⋊D5—41no—
537C2×C22⋊D5C2×D414yes—
538C2×C22⋊D5#4114yescomplemented
539C22×Dic5—22no—
540C22×Dic5—22no—
541C22×Dic5—22no—
542C22×Dic5—22no—
543C22×Dic5—22no—
544C22×Dic5—22no—
545C22×Dic5—22no—
546C22×Dic5—41no—
547C22×Dic5—41no—
548C22×Dic5—41no—
549C22×Dic5—41no—
550C22×Dic5—41no—
551C22×Dic5C2411yescharacteristic
552C22×Dic5C2411yescharacteristic
553C22×Dic5C2411yescharacteristic
554C22×Dic5C2411yescharacteristic
555C22×Dic5C2411yescharacteristic
556C22×Dic5C2411yescharacteristic
557C22×Dic5C2411yescharacteristic
558C22×Dic5C2411yescharacteristic
559C22×Dic5C2411yescharacteristic
560C22×Dic5C2411yescharacteristic
561C22×Dic5C2411yescharacteristic
562C22×Dic5C2411yescharacteristic
563C22×Dic5C2411yescharacteristic
564D4×D5—416no—
565C2×D20—22no—
566C2×D20—22no—
567C2×D20—41no—
568C2×C4×D5—22no—
569C2×C4×D5—22no—
570C2×C4×D5—22no—
571C2×C4×D5—22no—
572C2×C4×D5—22no—
573C2×C4×D5—22no—
574C2×C4×D5—22no—
575C2×C4×D5—22no—
576C2×C4×D5—22no—
577C2×C4×D5—22no—
578C2×C4×D5—41no—
579C2×C4×D5—41no—
580C2×C4×D5—41no—
581C2×C4×D5—41no—
582C2×C4×D5—41no—
583C2×C4×D5—41no—
584C2×C4×D5—41no—
585C2×C4×D5—41no—
586C2×C4×D5—416no—
587C2×C4×D5—41no—
588C2×C4×D5—41no—
589C2×C4×D5—41no—
590C2×C4×D5—41no—
591C2×C4×D5—41no—
592C2×C4×D5—41no—
593C2×C4×D5—41no—
594C2×C4×D5—41no—
595C2×C4×D5C2×D414yes—
596C5×C22⋊C4—22no—
597C5×C22⋊C4—22no—
598C5×C22⋊C4—22no—
599C5×C22⋊C4—22no—
600C5×C22⋊C4—22no—
601C5×C22⋊C4—22no—
602C5×C22⋊C4—41no—
603C5×C22⋊C4—41no—
604C5×C22⋊C4—41no—
605C5×C22⋊C4—41no—
606C5×C22⋊C4—41no—
607C5×C22⋊C4—41no—
608C5×C22⋊C4—41no—
609C5×C22⋊C4—41no—
610C22⋊Dic5—22no—
611C22⋊Dic5—22no—
612C22⋊Dic5—22no—
613C22⋊Dic5—22no—
614C22⋊Dic5—22no—
615C22⋊Dic5—22no—
616C22⋊Dic5—22no—
617C22⋊Dic5—22no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—41no—
624C22⋊Dic5—41no—
625C22⋊Dic5—41no—
626C22⋊Dic5—41no—
627C22⋊Dic5—41no—
628C22⋊Dic5—41no—
629C22⋊Dic5—41no—
630C22⋊Dic5—41no—
631C22⋊Dic5—41no—
632C22⋊Dic5C2×D414yescomplemented
633#685—22no—
634#685—22no—
635#685—22no—
636#685—22no—
637#685—22no—
638#685—22no—
639#685—22no—
640#685—22no—
641#685—22no—
642#685—22no—
643#685—22no—
644#685—22no—
645#685—22no—
646#685—22no—
647#685—41no—
648#685—41no—
649#685—41no—
650#685—41no—
651#685C2×D414yes—
652C4⋊Dic5—22no—
653C4⋊Dic5—22no—
654C4⋊Dic5—22no—
655C4⋊Dic5—41no—
656C4⋊Dic5—41no—
657C4⋊Dic5—41no—
658C4⋊Dic5—41no—
659#683—22no—
660#683—22no—
661#683—22no—
662#683—22no—
663#683—22no—
664#683—22no—
665#683—22no—
666#683—41no—
667#683—41no—
668#683—41no—
669#683—41no—
670#683—41no—
671#683C2×D414yescomplemented
672C4×Dic5—22no—
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—41no—
677C4×Dic5—41no—
678C4×Dic5C2×D414yescomplemented
679C22×#41C2×D511yescharacteristic, complemented
680C23×D4—51no—
681C23×D4—51no—
682C24×C4—51no—
683#525—108no—
684C2×#123—51no—
685C2×#123—51no—
686C2×#123—51no—
687C2×C22⋊Q8—51no—
688C2×C22⋊Q8—51no—
689C2×C22⋊Q8—51no—
690C2×#121—51no—
691C2×#121—51no—
692C2×#121—51no—
693C2×#121—51no—
694C2×#121—51no—
695C2×#121—51no—
696C2×#120—51no—
697C2×#120—51no—
698C2×#120—51no—
699C2×#120—51no—
700C2×#120—51no—
701C2×#120C2×D511yescharacteristic
702C2×#120C2×D511yescharacteristic, complemented
703#518—108no—
704C2×C4×D4—51no—
705C2×C4×D4—51no—
706C2×C4×D4—51no—
707C2×C4×D4—51no—
708C2×C4×D4—51no—
709C2×C4×D4—51no—
710C2×C4×D4—51no—
711C2×C4×D4—51no—
712C2×C4×D4—51no—
713C2×C4×D4—51no—
714C2×C4×D4—51no—
715C2×C4×D4—51no—
716C2×C4×D4—51no—
717C2×#117—51no—
718C2×#117—51no—
719C2×#117—51no—
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4—51no—
725C22×C22⋊C4C2×D511yescharacteristic, complemented
726#400—51no—
727#400—51no—
728#399—51no—
729#399—51no—
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
734#396—51no—
735#396—51no—
736#396—51no—
737#396—51no—
738#394—51no—
739#394—51no—
740#394—51no—
741#394—51no—
742#394—51no—
743#394—51no—
744#394—51no—
745#394—51no—
746#394—51no—
747#393C2×D511yescharacteristic, complemented
748#393C2×D511yescharacteristic, complemented
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392—51no—
755#392—51no—
756#392C2×D511yescharacteristic
757#392C2×D511yescharacteristic, complemented
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388—51no—
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386C2×D511yescharacteristic
803#386C2×D511yescharacteristic, complemented
804#386C2×D511yescharacteristic, complemented
805#386C2×D511yescharacteristic, complemented
806#386C2×D511yescharacteristic, complemented
807#386C2×D511yescharacteristic, complemented
808#385—51no—
809#385—51no—
810#385—51no—
811#385—51no—
812#385—51no—
813#385—51no—
814#385—51no—
815#385—51no—
816#385—51no—
817#385—51no—
818#385—51no—
819#385—51no—
820#383—51no—
821#382—51no—
822#381—51no—
823#381C2×D511yescharacteristic, complemented
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379—51no—
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—28no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—21no—
841C23×C5—21no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—21no—
860C23×C5—21no—
861C23×C5—21no—
862C23×C5—21no—
863C23×C5—21no—
864C23×C5—21no—
865C23×C5—21no—
866C23×C5—21no—
867C23×C5—21no—
868C23×C5—82no—
869C23×C5—82no—
870C23×C5—82no—
871C23×C5—82no—
872C23×C5—82no—
873C23×C5—82no—
874C23×C5C22×D412yes—
875C23×C5C2×#4112yes—
876C23×C5C2×#4112yes—
877C23×C5H(5,𝔽2)12yes—
878C23×C5C2511yescharacteristic
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—28no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—21no—
893C22×D5—21no—
894C22×D5—21no—
895C22×D5—21no—
896C22×D5—28no—
897C22×D5—44no—
898C22×D5—44no—
899C22×D5—44no—
900C22×D5—44no—
901C22×D5—44no—
902C22×D5—44no—
903C22×D5—44no—
904C22×D5—44no—
905C22×D5—82no—
906C22×D5—82no—
907C22×D5—82no—
908C22×D5—82no—
909C22×D5C22×D412yes—
910C22×D5C2×#4112yes—
911C22×D5C2×#4112yes—
912C22×D5C2×#4112yes—
913C22×D5H(5,𝔽2)12yes—
914C5×Q8—44no—
915C5×D4—44no—
916C5×D4—44no—
917C5×D4—44no—
918C5×D4—44no—
919C5×D4—44no—
920C5×D4—82no—
921C5×D4—82no—
922C2×C4×C5—28no—
923C2×C4×C5—21no—
924C2×C4×C5—21no—
925C2×C4×C5—21no—
926C2×C4×C5—21no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—21no—
949C2×C4×C5—21no—
950C2×C4×C5—44no—
951C2×C4×C5—44no—
952C2×C4×C5—82no—
953C2×C4×C5C22×D412yes—
954C2×C4×C5C22×D412yes—
955C2×C4×C5H(5,𝔽2)12yes—
956C22⋊D5—28no—
957C22⋊D5—28no—
958C22⋊D5—28no—
959C22⋊D5—28no—
960C22⋊D5—44no—
961C22⋊D5—44no—
962C22⋊D5—44no—
963C22⋊D5—44no—
964C22⋊D5—44no—
965C22⋊D5—44no—
966C22⋊D5—82no—
967C2×Dic5—28no—
968C2×Dic5—21no—
969C2×Dic5—21no—
970C2×Dic5—21no—
971C2×Dic5—21no—
972C2×Dic5—21no—
973C2×Dic5—21no—
974C2×Dic5—21no—
975C2×Dic5—21no—
976C2×Dic5—21no—
977C2×Dic5—21no—
978C2×Dic5—21no—
979C2×Dic5—21no—
980C2×Dic5—21no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—21no—
1002C2×Dic5—21no—
1003C2×Dic5—44no—
1004C2×Dic5—82no—
1005C2×Dic5—82no—
1006C2×Dic5C22×D412yes—
1007C2×Dic5C22×D412yes—
1008C2×Dic5C22×D412yes—
1009C2×Dic5C2×#4112yes—
1010D20—44no—
1011C4×D5—44no—
1012C4×D5—44no—
1013C4×D5—44no—
1014C4×D5—44no—
1015C4×D5—44no—
1016C4×D5—82no—
1017C4×D5—82no—
1018C4×D5—82no—
1019C4×D5—82no—
1020C25—51no—
1021C25—51no—
1022C25C22×D511yescharacteristic
1023C2×#41—24no—
1024C2×#41—42no—
1025C2×#41—42no—
1026C22×Q8C22×D511yescharacteristic
1027C22×D4—51no—
1028C22×D4—51no—
1029C22×D4—51no—
1030C22×D4—51no—
1031C22×D4—51no—
1032C22×D4—51no—
1033C22×D4—51no—
1034C22×D4—51no—
1035C22×D4—51no—
1036C22×D4—51no—
1037C22×D4—51no—
1038C22×D4—51no—
1039C22×D4—104no—
1040C22×D4—104no—
1041C22×D4—104no—
1042C22×D4—104no—
1043C22×D4—202no—
1044C22×D4—202no—
1045C22×D4C22×D511yescharacteristic
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C22×D4C22×D511yescharacteristic
1050C22×D4C22×D511yescharacteristic
1051C22×D4C22×D511yescharacteristic
1052C23×C4—51no—
1053C23×C4—51no—
1054C23×C4—51no—
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061C23×C4—51no—
1062C23×C4—51no—
1063C23×C4—51no—
1064C23×C4—51no—
1065C23×C4—104no—
1066C23×C4—202no—
1067C23×C4—202no—
1068C23×C4C22×D511yescharacteristic
1069C23×C4C22×D511yescharacteristic
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#123—104no—
1073#123—104no—
1074#123—202no—
1075C22⋊Q8—104no—
1076C22⋊Q8—104no—
1077C22⋊Q8—202no—
1078#121—104no—
1079#121—104no—
1080#121—104no—
1081#121—202no—
1082#121—202no—
1083#121—202no—
1084#120—42no—
1085#120—42no—
1086#120—104no—
1087#120—104no—
1088#120—104no—
1089#120—104no—
1090#120—202no—
1091C4×D4—58no—
1092C4×D4—104no—
1093C4×D4—104no—
1094C4×D4—104no—
1095C4×D4—104no—
1096C4×D4—104no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—202no—
1103C4×D4—202no—
1104#117—104no—
1105#117—104no—
1106#117—104no—
1107C2×C4⋊C4—51no—
1108C2×C4⋊C4—51no—
1109C2×C4⋊C4—51no—
1110C2×C4⋊C4—51no—
1111C2×C4⋊C4—51no—
1112C2×C4⋊C4—51no—
1113C2×C4⋊C4—51no—
1114C2×C4⋊C4—51no—
1115C2×C4⋊C4—51no—
1116C2×C4⋊C4—51no—
1117C2×C4⋊C4—51no—
1118C2×C4⋊C4—51no—
1119C2×C4⋊C4—51no—
1120C2×C4⋊C4—51no—
1121C2×C4⋊C4—51no—
1122C2×C4⋊C4—51no—
1123C2×C4⋊C4—51no—
1124C2×C4⋊C4—51no—
1125C2×C4⋊C4—51no—
1126C2×C4⋊C4—51no—
1127C2×C22⋊C4—24no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—51no—
1169C2×C22⋊C4—51no—
1170C2×C22⋊C4—104no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—104no—
1173C2×C22⋊C4—202no—
1174C2×C22⋊C4—202no—
1175C2×C22⋊C4C22×D511yescharacteristic
1176C2×C22⋊C4C22×D511yescharacteristic
1177C2×C22⋊C4C22×D511yescharacteristic
1178C2×C22⋊C4C22×D511yescharacteristic
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic
1185C2×C22⋊C4C22×D511yescharacteristic
1186C2×C22⋊C4C22×D511yescharacteristic
1187C2×C22⋊C4C22×D511yescharacteristic
1188C2×C22⋊C4C22×D511yescharacteristic
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42—51no—
1195C2×C42—51no—
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95—51no—
1216#95—51no—
1217#95—51no—
1218#95—51no—
1219#95—51no—
1220#95C22×D511yescharacteristic
1221#95C22×D511yescharacteristic
1222#95C22×D511yescharacteristic
1223#95C22×D511yescharacteristic
1224#95C22×D511yescharacteristic
1225#95C22×D511yescharacteristic
1226#95C22×D511yescharacteristic
1227#95C22×D511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—41no—
1241C22×C5—41no—
1242C22×C5—41no—
1243C22×C5—41no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5—41no—
1248C22×C5—41no—
1249C22×C5—41no—
1250C22×C5—41no—
1251C22×C5—41no—
1252C22×C5—41no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5—41no—
1256C22×C5—41no—
1257C22×C5—41no—
1258C22×C5—41no—
1259C22×C5—41no—
1260C22×C5—41no—
1261C22×C5—41no—
1262C22×C5—41no—
1263C22×C5—88no—
1264C22×C5C23×D411yescharacteristic
1265C22×C5C22×#4111yescharacteristic
1266C22×C5C22×#4111yescharacteristic
1267C22×C5C2×H(5,𝔽2)11yescharacteristic
1268C22×C5C2×H(5,𝔽2)11yescharacteristic
1269C22×C5C2×H(5,𝔽2)11yescharacteristic
1270C22×C5#58511yescharacteristic
1271C2×D5—22no—
1272C2×D5—22no—
1273C2×D5—22no—
1274C2×D5—22no—
1275C2×D5—22no—
1276C2×D5—22no—
1277C2×D5—22no—
1278C2×D5—22no—
1279C2×D5—22no—
1280C2×D5—22no—
1281C2×D5—22no—
1282C2×D5—22no—
1283C2×D5—416no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—88no—
1293C2×D5#52514yes—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—22no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304Dic5—22no—
1305Dic5—22no—
1306Dic5—22no—
1307Dic5—22no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—41no—
1321C24—41no—
1322C24—41no—
1323C24—41no—
1324C24—51no—
1325C24—51no—
1326C24—51no—
1327C24—54no—
1328C24—102no—
1329C24—102no—
1330C24—102no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—201no—
1336C24—201no—
1337C24—201no—
1338C24—201no—
1339C24—201no—
1340C24—201no—
1341C24C23×D511yescharacteristic
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346#41—416no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—41no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—54no—
1372C2×D4—54no—
1373C2×D4—102no—
1374C2×D4—102no—
1375C2×D4—102no—
1376C2×D4—102no—
1377C2×D4—102no—
1378C2×D4—102no—
1379C2×D4—102no—
1380C2×D4—102no—
1381C2×D4—102no—
1382C2×D4—102no—
1383C2×D4—102no—
1384C2×D4—1032no—
1385C2×D4—102no—
1386C2×D4—102no—
1387C2×D4—102no—
1388C2×D4—102no—
1389C2×D4—102no—
1390C2×D4—102no—
1391C2×D4—102no—
1392C2×D4—102no—
1393C2×D4—102no—
1394C2×D4—102no—
1395C2×D4—102no—
1396C2×D4—102no—
1397C2×D4—102no—
1398C2×D4—102no—
1399C2×D4—102no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4—201no—
1408C2×D4—2016no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—51no—
1421C22×C4—51no—
1422C22×C4—51no—
1423C22×C4—51no—
1424C22×C4—54no—
1425C22×C4—51no—
1426C22×C4—51no—
1427C22×C4—51no—
1428C22×C4—51no—
1429C22×C4—51no—
1430C22×C4—51no—
1431C22×C4—51no—
1432C22×C4—51no—
1433C22×C4—51no—
1434C22×C4—102no—
1435C22×C4—102no—
1436C22×C4—102no—
1437C22×C4—102no—
1438C22×C4—102no—
1439C22×C4—102no—
1440C22×C4—102no—
1441C22×C4—102no—
1442C22×C4—102no—
1443C22×C4—102no—
1444C22×C4—102no—
1445C22×C4—102no—
1446C22×C4—102no—
1447C22×C4—102no—
1448C22×C4—102no—
1449C22×C4—102no—
1450C22×C4—102no—
1451C22×C4—201no—
1452C22×C4—201no—
1453C22×C4—201no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4—201no—
1461C22×C4—201no—
1462C22×C4—201no—
1463C22×C4—201no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—2016no—
1468C22×C4—201no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4—201no—
1473C22×C4D4×D514yescomplemented
1474C22×C4C23×D511yescharacteristic
1475C22×C4C23×D511yescharacteristic
1476C22×C4C23×D511yescharacteristic
1477C22×C4C23×D511yescharacteristic
1478C22×C4C23×D511yescharacteristic
1479C22×C4C23×D511yescharacteristic
1480C22×C4C23×D511yescharacteristic
1481C22×C4C23×D511yescharacteristic
1482C22×C4C23×D511yescharacteristic
1483C22×C4C23×D511yescharacteristic
1484C4⋊C4—54no—
1485C4⋊C4—102no—
1486C4⋊C4—102no—
1487C4⋊C4—102no—
1488C4⋊C4—102no—
1489C4⋊C4—102no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—102no—
1495C4⋊C4—201no—
1496C4⋊C4—201no—
1497C4⋊C4—201no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4—201no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—54no—
1519C22⋊C4—54no—
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—102no—
1539C22⋊C4—102no—
1540C22⋊C4—102no—
1541C22⋊C4—102no—
1542C22⋊C4—102no—
1543C22⋊C4—102no—
1544C22⋊C4—102no—
1545C22⋊C4—102no—
1546C22⋊C4—102no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4—201no—
1560C42—54no—
1561C42—102no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—201no—
1566C42—201no—
1567C2×C5—42no—
1568C2×C5—42no—
1569C2×C5—42no—
1570C2×C5—42no—
1571C2×C5—81no—
1572C2×C5C2×#52511yescharacteristic
1573C2×C5#348411yescharacteristic
1574C2×C5#348811yescharacteristic
1575C2×C5#349011yescharacteristic
1576C2×C5#350511yescharacteristic
1577C2×C5#351311yescharacteristic
1578C2×C5#351911yescharacteristic
1579D5—24no—
1580D5—42no—
1581D5—42no—
1582C23—28no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—52no—
1615C23—52no—
1616C23—52no—
1617C23—52no—
1618C23—52no—
1619C23—82no—
1620C23—82no—
1621C23—82no—
1622C23—82no—
1623C23—82no—
1624C23—82no—
1625C23—108no—
1626C23—108no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—101no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—101no—
1641C23—101no—
1642C23—101no—
1643C23—204no—
1644C23—204no—
1645C23—204no—
1646C23—204no—
1647C23—204no—
1648C23—204no—
1649C23—204no—
1650C23—204no—
1651C23—402no—
1652C23—402no—
1653C23—402no—
1654C23—402no—
1655C23C2×D4×D512yes—
1656C23#414412yes—
1657C23D5×#4112yes—
1658C23D5×#4112yes—
1659C23C24×D511yescharacteristic
1660Q8—44no—
1661D4—44no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—82no—
1667D4—82no—
1668D4—108no—
1669D4—108no—
1670D4—108no—
1671D4—108no—
1672D4—204no—
1673D4—204no—
1674D4—204no—
1675D4—204no—
1676D4—204no—
1677D4—204no—
1678D4—204no—
1679D4—402no—
1680C2×C4—28no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—44no—
1709C2×C4—44no—
1710C2×C4—52no—
1711C2×C4—52no—
1712C2×C4—52no—
1713C2×C4—52no—
1714C2×C4—82no—
1715C2×C4—108no—
1716C2×C4—101no—
1717C2×C4—101no—
1718C2×C4—101no—
1719C2×C4—101no—
1720C2×C4—101no—
1721C2×C4—101no—
1722C2×C4—101no—
1723C2×C4—101no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—101no—
1751C2×C4—204no—
1752C2×C4—204no—
1753C2×C4—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—402no—
1758C2×C4—402no—
1759C2×C4—402no—
1760C2×C4—402no—
1761C2×C4—402no—
1762C2×C4—402no—
1763C2×C4C2×D4×D512yes—
1764C2×C4C2×D4×D512yes—
1765C2×C4#414412yes—
1766C5#3535211yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—54no—
1803C22—88no—
1804C22—102no—
1805C22—102no—
1806C22—102no—
1807C22—102no—
1808C22—102no—
1809C22—102no—
1810C22—102no—
1811C22—102no—
1812C22—102no—
1813C22—102no—
1814C22—102no—
1815C22—102no—
1816C22—2016no—
1817C22—201no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—201no—
1824C22—201no—
1825C22—408no—
1826C22C22×D4×D511yescharacteristic
1827C22C2×#414411yescharacteristic
1828C22C2×#414411yescharacteristic
1829C22C2×D5×#4111yescharacteristic
1830C22C2×D5×#4111yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22#6628511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—102no—
1844C4—102no—
1845C4—102no—
1846C4—102no—
1847C4—201no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—42no—
1857C2—42no—
1858C2—42no—
1859C2—42no—
1860C2—81no—
1861C2—104no—
1862C2—202no—
1863C2—202no—
1864C2#1061782011yescharacteristic
1865C2D5×#52511yescharacteristic
1866C2#1061823211yescharacteristic
1867C2#1061853611yescharacteristic
1868C2#1061854111yescharacteristic
1869C2#1061856511yescharacteristic
1870C2#1061856711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2404C2
hypercenter#2404D5
hypocenterC5#35352
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2404

Complements

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

NH ≅ G/Ntype
1. C2×#66162C2semidirect
2. C2×#65820C2semidirect
3. C5×#2404C2semidirect
4. #10615828C2semidirect
5. #10614336C2semidirect
6. #10614335C2semidirect
7. #10614317C2semidirect
8. #10614316C2semidirect
9. #10613860C2semidirect
10. #10608597C2semidirect
11. #10608596C2semidirect
12. #10608522C2semidirect
13. #10608518C2semidirect
14. #10608487C2semidirect
15. #10608486C2semidirect
16. #10608416C2semidirect
17. #10608407C2semidirect
18. #10606628C2semidirect
19. #10606623C2semidirect
20. #10606608C2semidirect
21. #10606607C2semidirect
22. D5×#386C2semidirect
23. #10606510C2semidirect
24. #10606507C2semidirect
25. #10606506C2semidirect
26. #10606482C2semidirect
27. #10606451C2semidirect
28. #10606445C2semidirect
29. #10606390C2semidirect
30. #10605864C2semidirect
31. #10605851C2semidirect
32. C22×C5×#41C22semidirect
35. C23×C4×D5C22semidirect
37. C2×C5×#120C22semidirect
38. C22×C5×C22⋊C4C22semidirect
40. C22×C22⋊Dic5C22semidirect
42. C2×#4092C22semidirect
43. C2×#4092C22semidirect
44. C2×#4092C22semidirect
45. C2×#4085C22semidirect
48. C2×#4084C22semidirect
49. C2×#4084C22semidirect
53. C2×#4083C22semidirect
54. C2×#4081C22semidirect
55. C2×#4081C22semidirect
56. C2×D4×Dic5C22semidirect
57. C2×#4075C22semidirect
60. C2×C4×C22⋊D5C22semidirect
61. C2×C4×C22⋊D5C22semidirect
62. C2×C4×C22⋊D5C22semidirect
63. C2×C4×C22⋊D5C22semidirect
64. C2×C4×C22⋊D5C22semidirect
65. C2×#4072C22semidirect
66. C2×#4030C22semidirect
70. C2×#4027C22semidirect
71. C2×#4027C22semidirect
72. C2×#4027C22semidirect
76. C2×D5×C22⋊C4C22semidirect
77. C2×#4023C22semidirect
78. C2×#4023C22semidirect
79. C5×#393C22semidirect
80. C5×#393C22semidirect
82. C5×#392C22semidirect
84. C5×#386C22semidirect
85. C5×#386C22semidirect
86. C5×#386C22semidirect
87. C5×#386C22semidirect
88. C5×#386C22semidirect
89. C5×#381C22semidirect
90. #65536C22semidirect
91. #65519C22semidirect
95. #65512C22semidirect
96. #65512C22semidirect
98. #65511C22semidirect
99. #65511C22semidirect
100. #65510C22semidirect
101. #65510C22semidirect
104. #65509C22semidirect
105. #65509C22semidirect
106. #65509C22semidirect
107. #65502C22semidirect
108. #65502C22semidirect
109. #65501C22semidirect
110. #65500C22semidirect
111. #65499C22semidirect
112. #65499C22semidirect
114. #65250C22semidirect
115. #65250C22semidirect
116. #65250C22semidirect
117. #65250C22semidirect
120. #65248C22semidirect
122. #65247C22semidirect
123. #65246C22semidirect
130. #65245C22semidirect
131. #65245C22semidirect
132. #65245C22semidirect
133. #65245C22semidirect
135. #65244C22semidirect
136. #65242C22semidirect
137. #65241C22semidirect
138. #65240C22semidirect
139. #65239C22semidirect
140. #65239C22semidirect
141. #65238C22semidirect
142. #65238C22semidirect
143. #65237C22semidirect
144. #65237C22semidirect
145. #65237C22semidirect
146. #65237C22semidirect
147. #65235C22semidirect
148. #65234C22semidirect
149. #65234C22semidirect
150. #65233C22semidirect
151. #65233C22semidirect
152. #65233C22semidirect
153. #65233C22semidirect
154. #65233C22semidirect
155. #65231C22semidirect
156. C22⋊C4×Dic5C22semidirect
157. #64964C22semidirect
158. #64959C22semidirect
159. #64959C22semidirect
160. #64958C22semidirect
161. #64958C22semidirect
162. #64957C22semidirect
163. #64957C22semidirect
164. #64957C22semidirect
165. #64957C22semidirect
166. #64957C22semidirect
167. #64957C22semidirect
168. #64957C22semidirect
169. #64956C22semidirect
170. #64956C22semidirect
171. #64955C22semidirect
172. #64955C22semidirect
173. #64954C22semidirect
174. #64954C22semidirect
175. #64954C22semidirect
176. D5×#95C22semidirect
177. D5×#95C22semidirect
178. #64949C22semidirect
179. #64947C22semidirect
180. #64946C22semidirect
181. #64944C22semidirect
182. #64944C22semidirect
183. #64944C22semidirect
184. #64943C22semidirect
185. #64942C22semidirect
186. #64942C22semidirect
187. #64940C22semidirect
188. #64939C22semidirect
306. C4×C22⋊D5D4semidirect
422. #2404D5semidirect
454. C23×D5#41semidirect
494. C22×C4×C5C2×D4semidirect
538. C2×C22⋊D5#41semidirect
632. C22⋊Dic5C2×D4semidirect
671. #683C2×D4semidirect
678. C4×Dic5C2×D4semidirect
679. C22×#41C2×D5semidirect
702. C2×#120C2×D5semidirect
725. C22×C22⋊C4C2×D5semidirect
747. #393C2×D5semidirect
748. #393C2×D5semidirect
757. #392C2×D5semidirect
803. #386C2×D5semidirect
804. #386C2×D5semidirect
805. #386C2×D5semidirect
806. #386C2×D5semidirect
807. #386C2×D5semidirect
823. #381C2×D5semidirect
1473. C22×C4D4×D5semidirect
1766. C5#35352semidirect

Maximal subgroups

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

subgroupindex
C2×#661622
C2×#658202
C5×#24042
#106158282
#106143362
#106143352
#106143172
#106143162
#106138602
#106085972
#106085962
#106085222
#106085182
#106084872
#106084862
#106084162
#106084072
#106066282
#106066232
#106066082
#106066072
D5×#3862
#106065102
#106065072
#106065062
#106064822
#106064512
#106064452
#106063902
#106058642
#106058512
#353525