Finite Group Databasebeta

← #12267955

Subgroups — #12267955

Order 1280.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66162C211yesmaximal, characteristic, complemented
2C2×C4×#711C211yesmaximal, characteristic, complemented
3C5×#2388C211yesmaximal, characteristic, complemented
4#10615817C211yesmaximal, characteristic, complemented
5C4×#4084C211yesmaximal, characteristic, complemented
6C4×#4083C211yesmaximal, characteristic, complemented
7#10614076C211yesmaximal, characteristic, complemented
8C4×#4085C211yesmaximal, characteristic, complemented
9#10614049C211yesmaximal, characteristic, complemented
10#10608982C211yesmaximal, characteristic, complemented
11#10608911C211yesmaximal, characteristic, complemented
12#10608849C211yesmaximal, characteristic, complemented
13#10608843C211yesmaximal, characteristic, complemented
14#10608840C211yesmaximal, characteristic, complemented
15#10608661C211yesmaximal, characteristic, complemented
16#10608655C211yesmaximal, characteristic, complemented
17#10608641C211yesmaximal, characteristic, complemented
18#10608597C211yesmaximal, characteristic, complemented
19#10608522C211yesmaximal, characteristic, complemented
20#10608488C211yesmaximal, characteristic, complemented
21#10608487C211yesmaximal, characteristic, complemented
22#10608485C211yesmaximal, characteristic, complemented
23#10608416C211yesmaximal, characteristic, complemented
24#10608414C211yesmaximal, characteristic, complemented
25#10608409C211yesmaximal, characteristic, complemented
26C4×#4029C211yesmaximal, characteristic, complemented
27#10605293C211yesmaximal, characteristic, complemented
28C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
29#10605212C211yesmaximal, characteristic, complemented
30#10605211C211yesmaximal, characteristic, complemented
31C4×#4032C211yesmaximal, characteristic, complemented
32C22×C5×#41C2211yescharacteristic
33C22×#711C2211yescharacteristic
34C23×C4×D5C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic
36C2×C4×C5×D4C2211yescharacteristic, complemented
37C2×C4×C5×D4C2211yescharacteristic, complemented
38#66162—28no—
39C2×#4092C2211yescharacteristic
40C2×#4092C2211yescharacteristic
41C2×#4085C2211yescharacteristic
42C2×#4084C2211yescharacteristic
43C2×#4084C2211yescharacteristic
44C2×#4084C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×#4083C2211yescharacteristic
47C2×#4083C2211yescharacteristic
48C2×#4081C2211yescharacteristic
49C2×#4081C2211yescharacteristic
50C2×D4×Dic5C2211yescharacteristic, complemented
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic
54C2×C4×C22⋊D5C2211yescharacteristic
55C2×C4×C22⋊D5C2211yescharacteristic
56C2×C4×C22⋊D5C2211yescharacteristic
57C2×#4072C2211yescharacteristic
58C2×#4072C2211yescharacteristic, complemented
59C22×C4×Dic5C2211yescharacteristic, complemented
60C22×C4×Dic5C2211yescharacteristic, complemented
61C4×#711—28no—
62C2×#4038C2211yescharacteristic
63C2×#4033C2211yescharacteristic, complemented
64C2×#4032C2211yescharacteristic
65C2×#4029C2211yescharacteristic
66C2×#4027C2211yescharacteristic
67C2×#4027C2211yescharacteristic
68C2×D5×C22⋊C4C2211yescharacteristic
69C2×D5×C22⋊C4C2211yescharacteristic
70C2×#4023C2211yescharacteristic, complemented
71C2×#4023C2211yescharacteristic, complemented
72C2×C42×D5C2211yescharacteristic
73C2×C42×D5C2211yescharacteristic
74C2×C4×Dic10C2211yescharacteristic, complemented
75C5×#395C2211yescharacteristic, complemented
76C5×#394C2211yescharacteristic
77C5×#394C2211yescharacteristic
78C5×#394C2211yescharacteristic, complemented
79C5×#393C2211yescharacteristic, complemented
80C5×#392C2211yescharacteristic
81C5×#392C2211yescharacteristic
82C5×#392C2211yescharacteristic, complemented
83C4×C5×C22⋊C4C2211yescharacteristic
84C4×C5×C22⋊C4C2211yescharacteristic, complemented
85C4×C5×C22⋊C4C2211yescharacteristic, complemented
86#65519C2211yescharacteristic, complemented
87#65519C2211yescharacteristic, complemented
88#65512C2211yescharacteristic
89#65511C2211yescharacteristic, complemented
90#65510C2211yescharacteristic
91#65510C2211yescharacteristic
92#65510C2211yescharacteristic, complemented
93#65509C2211yescharacteristic
94#65509C2211yescharacteristic
95#65509C2211yescharacteristic
96#65509C2211yescharacteristic
97#65509C2211yescharacteristic
98#65509C2211yescharacteristic, complemented
99#65509C2211yescharacteristic, complemented
100#65509C2211yescharacteristic, complemented
101C4×C22⋊Dic5C2211yescharacteristic
102C4×C22⋊Dic5C2211yescharacteristic
103C4×C22⋊Dic5C2211yescharacteristic, complemented
104C4×C22⋊Dic5C2211yescharacteristic, complemented
105C4×C22⋊Dic5C2211yescharacteristic, complemented
106#65283C2211yescharacteristic
107#65279C2211yescharacteristic
108#65278C2211yescharacteristic
109#65278C2211yescharacteristic
110#65276C2211yescharacteristic
111#65273C2211yescharacteristic, complemented
112#65270C2211yescharacteristic, complemented
113#65270C2211yescharacteristic, complemented
114#65262C2211yescharacteristic, complemented
115#65261C2211yescharacteristic, complemented
116#65250C2211yescharacteristic
117#65250C2211yescharacteristic
118#65248C2211yescharacteristic
119#65248C2211yescharacteristic
120#65247C2211yescharacteristic
121#65247C2211yescharacteristic
122#65246C2211yescharacteristic
123#65245C2211yescharacteristic
124#65245C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic
129#65245C2211yescharacteristic
130#65244C2211yescharacteristic
131#65241C2211yescharacteristic, complemented
132#65241C2211yescharacteristic, complemented
133#65240C2211yescharacteristic
134#65240C2211yescharacteristic
135#65240C2211yescharacteristic, complemented
136#65239C2211yescharacteristic, complemented
137#65239C2211yescharacteristic, complemented
138#65239C2211yescharacteristic, complemented
139#65238C2211yescharacteristic
140#65237C2211yescharacteristic
141#65237C2211yescharacteristic
142#65237C2211yescharacteristic, complemented
143#65236C2211yescharacteristic
144#65236C2211yescharacteristic, complemented
145#65235C2211yescharacteristic
146#65234C2211yescharacteristic, complemented
147#65234C2211yescharacteristic, complemented
148#65234C2211yescharacteristic, complemented
149#65234C2211yescharacteristic, complemented
150#65233C2211yescharacteristic, complemented
151#65233C2211yescharacteristic, complemented
152#65232C2211yescharacteristic, complemented
153#65231C2211yescharacteristic, complemented
154C22⋊C4×Dic5C2211yescharacteristic
155C22⋊C4×Dic5C2211yescharacteristic
156C4×#685C2211yescharacteristic
157C4×#685C2211yescharacteristic
158C4×#685C2211yescharacteristic
159C4×#685C2211yescharacteristic
160C4×C4⋊Dic5C2211yescharacteristic, complemented
161C4×C4⋊Dic5C2211yescharacteristic, complemented
162#65221C2211yescharacteristic, complemented
163C4×#683C2211yescharacteristic, complemented
164C4×#683C2211yescharacteristic, complemented
165#64964C2211yescharacteristic
166#64962C2211yescharacteristic
167#64959C2211yescharacteristic
168#64959C2211yescharacteristic
169#64957C2211yescharacteristic
170#64957C2211yescharacteristic
171#64957C2211yescharacteristic
172#64955C2211yescharacteristic
173#64955C2211yescharacteristic
174#64953C2211yescharacteristic
175D5×#95C2211yescharacteristic
176D5×#95C2211yescharacteristic
177#64950C2211yescharacteristic, complemented
178#64949C2211yescharacteristic, complemented
179#64949C2211yescharacteristic, complemented
180#64947C2211yescharacteristic, complemented
181#64946C2211yescharacteristic, complemented
182#64945C2211yescharacteristic, complemented
183#64944C2211yescharacteristic, complemented
184#64944C2211yescharacteristic, complemented
185#64943C2211yescharacteristic, complemented
186#64942C2211yescharacteristic, complemented
187#64942C2211yescharacteristic, complemented
188#64941C2211yescharacteristic, complemented
189#34732—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C2×C5×#41—24no—
192C2×C5×#41—24no—
193C2×C5×#41—42no—
194C22×C5×Q8C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C23×Dic5C2311yescharacteristic
215C23×Dic5C2311yescharacteristic
216C2×#711—24no—
217C2×#711—24no—
218C2×#711—24no—
219C22×C4×D5—24no—
220C22×C4×D5—24no—
221C22×C4×D5—42no—
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×C4×D5C2311yescharacteristic
226C22×C4×D5C2311yescharacteristic
227C22×C4×D5C2311yescharacteristic
228C22×C4×D5C2311yescharacteristic
229C22×C4×D5C2311yescharacteristic
230C22×Dic10C2311yescharacteristic
231C4×C5×D4—24no—
232C4×C5×D4—24no—
233C4×C5×D4—42no—
234C2×C5×C4⋊C4C2311yescharacteristic
235C2×C5×C4⋊C4C2311yescharacteristic
236C2×C5×C4⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C42×C5C2311yescharacteristic
250C2×C42×C5C2311yescharacteristic
251C2×C42×C5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
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
272#4092—24no—
273#4092—24no—
274#4085—24no—
275#4084—24no—
276#4084—24no—
277#4084—24no—
278#4083—24no—
279#4083—24no—
280#4083—24no—
281#4081—24no—
282#4081—24no—
283D4×Dic5—24no—
284C4×C22⋊D5—24no—
285C4×C22⋊D5—24no—
286C4×C22⋊D5—24no—
287C4×C22⋊D5—24no—
288C4×C22⋊D5—42no—
289C4×C22⋊D5D418yescomplemented
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304#4072—24no—
305#4072—42no—
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311C2×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313C2×C4⋊Dic5C2311yescharacteristic
314C2×C4⋊Dic5C2311yescharacteristic
315C2×#683C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×C4×Dic5—24no—
328C2×C4×Dic5—24no—
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343#4038—24no—
344#4033—24no—
345#4032—24no—
346#4029—24no—
347#4027—24no—
348#4027—24no—
349D5×C22⋊C4—24no—
350D5×C22⋊C4—24no—
351#4023—24no—
352#4023—24no—
353C42×D5—24no—
354C42×D5—42no—
355C4×Dic10—24no—
356C5×#95C2311yescharacteristic
357C5×#95C2311yescharacteristic
358C5×#95C2311yescharacteristic
359C5×#95C2311yescharacteristic
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#3963C2311yescharacteristic
365#3963C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#525—51no—
393C2×C4×#41—51no—
394#2477—51no—
395#2476—51no—
396#2471—51no—
397#2470—51no—
398#2465—51no—
399#2464—51no—
400#2458—51no—
401#2457—51no—
402#2450—51no—
403#2444—51no—
404#2438—51no—
405#2430—51no—
406#2424—51no—
407#2418—51no—
408#2411—51no—
409#2404—51no—
410#2398—51no—
411#2396—51no—
412#2392—51no—
413#2388D511yescharacteristic, complemented
414C4×#123—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#121—51no—
418C4×#120—51no—
419#2297—51no—
420#2290—51no—
421#2290—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C24×C5C2411yescharacteristic
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—41no—
433C23×D5—41no—
434C23×D5C2411yescharacteristic
435C23×D5C2411yescharacteristic
436C5×#41—416no—
437C2×C5×Q8—22no—
438C2×C5×Q8—22no—
439C2×C5×Q8—41no—
440C2×C5×D4—22no—
441C2×C5×D4—22no—
442C2×C5×D4—22no—
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4—22no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—22no—
449C2×C5×D4—22no—
450C2×C5×D4—22no—
451C2×C5×D4—22no—
452C2×C5×D4—22no—
453C2×C5×D4—41no—
454C2×C5×D4—41no—
455C2×C5×D4—41no—
456C2×C5×D4—41no—
457C2×C5×D4—41no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—22no—
464C22×C4×C5—22no—
465C22×C4×C5—22no—
466C22×C4×C5—22no—
467C22×C4×C5—22no—
468C22×C4×C5C2×D414yes—
469C22×C4×C5#4114yescomplemented
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—22no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—22no—
494C2×C22⋊D5—41no—
495C2×C22⋊D5—41no—
496C2×C22⋊D5—41no—
497C2×C22⋊D5C2×D414yes—
498C2×C22⋊D5#4114yescomplemented
499C22×Dic5—22no—
500C22×Dic5—22no—
501C22×Dic5—22no—
502C22×Dic5—22no—
503C22×Dic5—22no—
504C22×Dic5—22no—
505C22×Dic5—22no—
506C22×Dic5—22no—
507C22×Dic5—22no—
508C22×Dic5—22no—
509C22×Dic5—22no—
510C22×Dic5—22no—
511C22×Dic5—41no—
512C22×Dic5—41no—
513C22×Dic5—41no—
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C22×Dic5C2411yescharacteristic
523C22×Dic5C2411yescharacteristic
524C22×Dic5C2411yescharacteristic
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528#711—232no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—22no—
539C2×C4×D5—22no—
540C2×C4×D5—22no—
541C2×C4×D5—22no—
542C2×C4×D5—22no—
543C2×C4×D5—22no—
544C2×C4×D5—22no—
545C2×C4×D5—416no—
546C2×C4×D5—41no—
547C2×C4×D5—41no—
548C2×C4×D5—41no—
549C2×C4×D5—41no—
550C2×C4×D5—41no—
551C2×C4×D5—41no—
552C2×C4×D5C2×D414yes—
553C2×C4×D5#4114yescomplemented
554C2×Dic10—22no—
555C2×Dic10—22no—
556C2×Dic10—22no—
557C5×C4⋊C4—22no—
558C5×C4⋊C4—22no—
559C5×C4⋊C4—41no—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—22no—
564C5×C22⋊C4—22no—
565C5×C22⋊C4—22no—
566C5×C22⋊C4—22no—
567C5×C22⋊C4—22no—
568C5×C22⋊C4—41no—
569C5×C22⋊C4—41no—
570C5×C22⋊C4—41no—
571C5×C22⋊C4—41no—
572C42×C5—22no—
573C42×C5—22no—
574C42×C5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—22no—
587C22⋊Dic5—22no—
588C22⋊Dic5—41no—
589C22⋊Dic5—41no—
590C22⋊Dic5—41no—
591C22⋊Dic5—41no—
592C22⋊Dic5—41no—
593C22⋊Dic5—41no—
594C22⋊Dic5C2×D414yes—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—22no—
601#685—22no—
602#685—22no—
603#685—22no—
604#685—22no—
605#685—22no—
606#685—41no—
607#685C2×D414yes—
608#685#4114yescomplemented
609C4⋊Dic5—22no—
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—22no—
614C4⋊Dic5—22no—
615C4⋊Dic5—22no—
616C4⋊Dic5—41no—
617C4⋊Dic5—41no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—22no—
626#683—41no—
627#683—41no—
628#683—41no—
629#683C2×D414yes—
630C4×Dic5—22no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—22no—
638C4×Dic5—22no—
639C4×Dic5—22no—
640C4×Dic5—22no—
641C4×Dic5—41no—
642C4×Dic5—41no—
643C4×Dic5C2×D414yes—
644C22×#41—51no—
645C22×#41C2×D511yescharacteristic
646C24×C4—51no—
647#525—108no—
648C2×#123—51no—
649C2×#123—51no—
650C2×#123—51no—
651C2×#123—51no—
652C2×C22⋊Q8—51no—
653C2×C22⋊Q8—51no—
654C2×#121—51no—
655C2×#121—51no—
656C2×#121—51no—
657C2×#121—51no—
658C2×#120—51no—
659C2×#120—51no—
660C2×#120—51no—
661C4×#41—108no—
662C2×C4×Q8—51no—
663C2×C4×Q8—51no—
664C2×C4×D4—51no—
665C2×C4×D4—51no—
666C2×C4×D4—51no—
667C2×C4×D4—51no—
668C2×C4×D4—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4C2×D511yescharacteristic
674C2×C4×D4C2×D511yescharacteristic, complemented
675C2×C4×D4C2×D511yescharacteristic, complemented
676C2×#117—51no—
677C2×#117—51no—
678C2×#117—51no—
679C2×#117—51no—
680C2×#117—51no—
681C22×C22⋊C4—51no—
682C22×C22⋊C4—51no—
683C22×C42—51no—
684C22×C42—51no—
685C22×C42—51no—
686C22×C42—51no—
687#400—51no—
688#400—51no—
689#400—51no—
690#399—51no—
691#398—51no—
692#398—51no—
693#398—51no—
694#397—51no—
695#397—51no—
696#397—51no—
697#396—51no—
698#396—51no—
699#396—51no—
700#396—51no—
701#395—51no—
702#395C2×D511yescharacteristic, complemented
703#394—51no—
704#394—51no—
705#394—51no—
706#394—51no—
707#394—51no—
708#394C2×D511yescharacteristic
709#394C2×D511yescharacteristic
710#394C2×D511yescharacteristic, complemented
711#393—51no—
712#393—51no—
713#393—51no—
714#393C2×D511yescharacteristic, complemented
715#392—51no—
716#392C2×D511yescharacteristic
717#392C2×D511yescharacteristic
718#392C2×D511yescharacteristic, complemented
719#391—51no—
720#391—51no—
721#390—51no—
722#390—51no—
723#390—51no—
724#390—51no—
725#389—51no—
726#389—51no—
727#388—51no—
728#388—51no—
729#388—51no—
730#388—51no—
731#388—51no—
732#388—51no—
733#388—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#387—51no—
740#387—51no—
741#387—51no—
742#387—51no—
743#387—51no—
744#387—51no—
745#387—51no—
746#387—51no—
747#386—51no—
748#386—51no—
749#386—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386—51no—
759#386—51no—
760#386—51no—
761#386—51no—
762#386—51no—
763#386—51no—
764#385—51no—
765#385—51no—
766#385—51no—
767#385—51no—
768#385—51no—
769#385—51no—
770#385—51no—
771#385—51no—
772#385—51no—
773#381—51no—
774#381—51no—
775#380—51no—
776#380—51no—
777#379—51no—
778C4×C4⋊C4—51no—
779C4×C4⋊C4—51no—
780C4×C4⋊C4—51no—
781C4×C4⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4—51no—
795C4×C22⋊C4C2×D511yescharacteristic
796C4×C22⋊C4C2×D511yescharacteristic, complemented
797C4×C22⋊C4C2×D511yescharacteristic, complemented
798#376—51no—
799C2×#95—51no—
800C2×#95—51no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5—21no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—21no—
826C23×C5C22×D412yes—
827C23×C5C2×#4112yes—
828C23×C5C2×#4112yes—
829C23×C5C2511yescharacteristic
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—21no—
834C22×D5—28no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—21no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5—44no—
847C22×D5C22×D412yes—
848C22×D5C2×#4112yes—
849C22×D5C2×#4112yes—
850C22×D5C2×#4112yes—
851C5×Q8—44no—
852C5×D4—28no—
853C5×D4—44no—
854C5×D4—44no—
855C5×D4—44no—
856C5×D4—44no—
857C5×D4—44no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—28no—
867C2×C4×C5—28no—
868C2×C4×C5—21no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—21no—
885C2×C4×C5—21no—
886C2×C4×C5—44no—
887C2×C4×C5—44no—
888C2×C4×C5C22×D412yes—
889C2×C4×C5C22×D412yes—
890C2×C4×C5C2×#4112yes—
891C2×C4×C5C2×#4112yes—
892C2×C4×C5C2×#4112yes—
893C2×C4×C5C2×#4112yes—
894C2×C4×C5H(5,𝔽2)12yes—
895C22⋊D5—28no—
896C22⋊D5—28no—
897C22⋊D5—44no—
898C22⋊D5—44no—
899C22⋊D5—44no—
900C22⋊D5—44no—
901C2×Dic5—28no—
902C2×Dic5—28no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—21no—
937C2×Dic5—21no—
938C2×Dic5—21no—
939C2×Dic5—44no—
940C2×Dic5—44no—
941C2×Dic5—44no—
942C2×Dic5C22×D412yes—
943C2×Dic5C22×D412yes—
944C2×Dic5C22×D412yes—
945C2×Dic5C2×#4112yes—
946C2×Dic5C2×#4112yes—
947C2×Dic5C2×#4112yes—
948C4×D5—28no—
949C4×D5—28no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953C4×D5—44no—
954C4×D5—44no—
955C4×D5—44no—
956Dic10—28no—
957C25—51no—
958C2×#41—24no—
959C2×#41—24no—
960C2×#41—42no—
961C2×#41—104no—
962C2×#41—104no—
963C2×#41—104no—
964C22×Q8—51no—
965C22×Q8C22×D511yescharacteristic
966C22×D4—51no—
967C22×D4—51no—
968C22×D4—51no—
969C22×D4—51no—
970C22×D4—51no—
971C22×D4—51no—
972C22×D4C22×D511yescharacteristic
973C22×D4C22×D511yescharacteristic
974C22×D4C22×D511yescharacteristic
975C22×D4C22×D511yescharacteristic
976C22×D4C22×D511yescharacteristic
977C22×D4C22×D511yescharacteristic
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—51no—
984C23×C4—51no—
985C23×C4—51no—
986C23×C4—51no—
987C23×C4—51no—
988C23×C4—51no—
989C23×C4—51no—
990C23×C4—51no—
991C23×C4—104no—
992C23×C4—104no—
993C23×C4—202no—
994C23×C4C22×D511yescharacteristic
995C23×C4C22×D511yescharacteristic
996C23×C4C22×D511yescharacteristic
997C23×C4C22×D511yescharacteristic
998#123—104no—
999#123—104no—
1000#123—104no—
1001#123—104no—
1002C22⋊Q8—104no—
1003C22⋊Q8—104no—
1004#121—104no—
1005#121—104no—
1006#121—104no—
1007#121—104no—
1008#120—104no—
1009#120—104no—
1010#120—104no—
1011C4×Q8—104no—
1012C4×Q8—104no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—42no—
1016C4×D4—58no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—104no—
1023C4×D4—104no—
1024C4×D4—202no—
1025#117—104no—
1026#117—104no—
1027#117—104no—
1028#117—104no—
1029#117—202no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4—51no—
1050C2×C4⋊C4—51no—
1051C2×C4⋊C4C22×D511yescharacteristic
1052C2×C4⋊C4C22×D511yescharacteristic
1053C2×C4⋊C4C22×D511yescharacteristic
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—104no—
1089C2×C22⋊C4—104no—
1090C2×C22⋊C4C22×D511yescharacteristic
1091C2×C22⋊C4C22×D511yescharacteristic
1092C2×C22⋊C4C22×D511yescharacteristic
1093C2×C22⋊C4C22×D511yescharacteristic
1094C2×C22⋊C4C22×D511yescharacteristic
1095C2×C22⋊C4C22×D511yescharacteristic
1096C2×C22⋊C4C22×D511yescharacteristic
1097C2×C22⋊C4C22×D511yescharacteristic
1098C2×C22⋊C4C22×D511yescharacteristic
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C42—51no—
1103C2×C42—51no—
1104C2×C42—51no—
1105C2×C42—51no—
1106C2×C42—51no—
1107C2×C42—51no—
1108C2×C42—51no—
1109C2×C42—51no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—104no—
1117C2×C42—104no—
1118C2×C42—104no—
1119C2×C42—202no—
1120C2×C42C22×D511yescharacteristic
1121C2×C42C22×D511yescharacteristic
1122C2×C42C22×D511yescharacteristic
1123#95—51no—
1124#95—51no—
1125#95—51no—
1126#95—51no—
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95—51no—
1151#95—51no—
1152#95—51no—
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156#95C22×D511yescharacteristic
1157#95C22×D511yescharacteristic
1158#95C22×D511yescharacteristic
1159C22×C5—22no—
1160C22×C5—22no—
1161C22×C5—22no—
1162C22×C5—22no—
1163C22×C5—22no—
1164C22×C5—22no—
1165C22×C5—22no—
1166C22×C5—22no—
1167C22×C5—22no—
1168C22×C5—41no—
1169C22×C5—41no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5—41no—
1184C22×C5—41no—
1185C22×C5—41no—
1186C22×C5—41no—
1187C22×C5C23×D411yescharacteristic
1188C22×C5C22×#4111yescharacteristic
1189C22×C5C22×#4111yescharacteristic
1190C22×C5C22×#4111yescharacteristic
1191C22×C5C22×#4111yescharacteristic
1192C22×C5C2×H(5,𝔽2)11yescharacteristic
1193C22×C5#58511yescharacteristic
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—22no—
1200C2×D5—22no—
1201C2×D5—22no—
1202C2×D5—22no—
1203C2×D5—416no—
1204C2×D5—41no—
1205C2×D5—41no—
1206C2×D5—41no—
1207C2×D5—41no—
1208C2×D5#52514yes—
1209C4×C5—22no—
1210C4×C5—22no—
1211C4×C5—22no—
1212C4×C5—22no—
1213C4×C5—41no—
1214C4×C5—41no—
1215C4×C5—41no—
1216C4×C5—41no—
1217C4×C5—41no—
1218C4×C5—41no—
1219C4×C5#54614yes—
1220Dic5—22no—
1221Dic5—22no—
1222Dic5—22no—
1223Dic5—22no—
1224Dic5—22no—
1225Dic5—22no—
1226Dic5—41no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231Dic5—41no—
1232Dic5—41no—
1233Dic5—41no—
1234C24—51no—
1235C24—51no—
1236C24—102no—
1237C24—102no—
1238C24—102no—
1239C24—102no—
1240C24—102no—
1241C24—201no—
1242C24—201no—
1243C24C23×D511yescharacteristic
1244C24C23×D511yescharacteristic
1245C24C23×D511yescharacteristic
1246C24C23×D511yescharacteristic
1247#41—416no—
1248#41—1032no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—41no—
1252C2×Q8—102no—
1253C2×Q8—102no—
1254C2×Q8—102no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—54no—
1274C2×D4—54no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—102no—
1285C2×D4—102no—
1286C2×D4—102no—
1287C2×D4—102no—
1288C2×D4—201no—
1289C2×D4—201no—
1290C2×D4—201no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—51no—
1302C22×C4—51no—
1303C22×C4—51no—
1304C22×C4—51no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—54no—
1308C22×C4—54no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—51no—
1314C22×C4—51no—
1315C22×C4—51no—
1316C22×C4—51no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—102no—
1335C22×C4—102no—
1336C22×C4—102no—
1337C22×C4—102no—
1338C22×C4—102no—
1339C22×C4—102no—
1340C22×C4—102no—
1341C22×C4—102no—
1342C22×C4—102no—
1343C22×C4—102no—
1344C22×C4—102no—
1345C22×C4—201no—
1346C22×C4—201no—
1347C22×C4—201no—
1348C22×C4—201no—
1349C22×C4—201no—
1350C22×C4—201no—
1351C22×C4—2016no—
1352C22×C4—201no—
1353C22×C4—201no—
1354C22×C4—201no—
1355C22×C4D4×D514yes—
1356C22×C4#71114yescomplemented
1357C22×C4C23×D511yescharacteristic
1358C22×C4C23×D511yescharacteristic
1359C22×C4C23×D511yescharacteristic
1360C22×C4C23×D511yescharacteristic
1361C22×C4C23×D511yescharacteristic
1362C22×C4C23×D511yescharacteristic
1363C22×C4C23×D511yescharacteristic
1364C22×C4C23×D511yescharacteristic
1365C22×C4C23×D511yescharacteristic
1366C22×C4C23×D511yescharacteristic
1367C22×C4C23×D511yescharacteristic
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—41no—
1371C4⋊C4—54no—
1372C4⋊C4—102no—
1373C4⋊C4—102no—
1374C4⋊C4—102no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—102no—
1382C4⋊C4—102no—
1383C4⋊C4—102no—
1384C4⋊C4—102no—
1385C4⋊C4—102no—
1386C4⋊C4—102no—
1387C4⋊C4—201no—
1388C4⋊C4—201no—
1389C4⋊C4—201no—
1390C4⋊C4—201no—
1391C4⋊C4—201no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—54no—
1405C22⋊C4—54no—
1406C22⋊C4—54no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—102no—
1429C22⋊C4—102no—
1430C22⋊C4—102no—
1431C22⋊C4—201no—
1432C22⋊C4—201no—
1433C22⋊C4—201no—
1434C22⋊C4—201no—
1435C22⋊C4—201no—
1436C22⋊C4—201no—
1437C22⋊C4—201no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—54no—
1442C42—102no—
1443C42—102no—
1444C42—102no—
1445C42—102no—
1446C42—102no—
1447C42—102no—
1448C42—102no—
1449C42—102no—
1450C42—102no—
1451C42—102no—
1452C42—102no—
1453C42—201no—
1454C42—201no—
1455C2×C5—42no—
1456C2×C5—42no—
1457C2×C5—42no—
1458C2×C5—81no—
1459C2×C5C2×#52511yescharacteristic
1460C2×C5#344411yescharacteristic
1461C2×C5#346011yescharacteristic
1462C2×C5C2×#54611yescharacteristic
1463C2×C5D4×#4111yescharacteristic
1464C2×C5#347511yescharacteristic
1465C2×C5#348111yescharacteristic
1466D5—24no—
1467D5—42no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—52no—
1494C23—52no—
1495C23—52no—
1496C23—52no—
1497C23—108no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—101no—
1506C23—101no—
1507C23—101no—
1508C23—204no—
1509C23—204no—
1510C23—204no—
1511C23—204no—
1512C23—204no—
1513C23—204no—
1514C23C2×D4×D512yes—
1515C23C2×#71112yes—
1516C23D5×#4112yes—
1517C23C24×D511yescharacteristic
1518Q8—44no—
1519Q8—108no—
1520D4—28no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525D4—44no—
1526D4—108no—
1527D4—108no—
1528D4—204no—
1529D4—204no—
1530D4—204no—
1531D4—204no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—28no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—52no—
1563C2×C4—52no—
1564C2×C4—52no—
1565C2×C4—52no—
1566C2×C4—52no—
1567C2×C4—52no—
1568C2×C4—108no—
1569C2×C4—108no—
1570C2×C4—108no—
1571C2×C4—101no—
1572C2×C4—101no—
1573C2×C4—101no—
1574C2×C4—101no—
1575C2×C4—101no—
1576C2×C4—101no—
1577C2×C4—101no—
1578C2×C4—101no—
1579C2×C4—101no—
1580C2×C4—101no—
1581C2×C4—101no—
1582C2×C4—101no—
1583C2×C4—108no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—101no—
1601C2×C4—101no—
1602C2×C4—101no—
1603C2×C4—101no—
1604C2×C4—101no—
1605C2×C4—101no—
1606C2×C4—101no—
1607C2×C4—101no—
1608C2×C4—204no—
1609C2×C4—204no—
1610C2×C4—204no—
1611C2×C4—204no—
1612C2×C4—204no—
1613C2×C4—204no—
1614C2×C4—204no—
1615C2×C4—204no—
1616C2×C4—204no—
1617C2×C4C2×D4×D512yes—
1618C2×C4C2×D4×D512yes—
1619C2×C4C2×#71112yes—
1620C2×C4C2×#71112yes—
1621C2×C4#414412yes—
1622C2×C4D5×#4112yes—
1623C2×C4D5×#4112yes—
1624C5#3473211yescharacteristic, complemented, Sylow
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—54no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—102no—
1658C22—102no—
1659C22—102no—
1660C22—102no—
1661C22—102no—
1662C22—102no—
1663C22—2016no—
1664C22—201no—
1665C22—201no—
1666C22—201no—
1667C22—201no—
1668C22C22×D4×D511yescharacteristic
1669C22C22×#71111yescharacteristic
1670C22C2×#414411yescharacteristic
1671C22C2×D5×#4111yescharacteristic
1672C22C2×D5×#4111yescharacteristic
1673C22C2×D5×#4111yescharacteristic
1674C22#6628311yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—102no—
1686C4—102no—
1687C4—102no—
1688C4—102no—
1689C4—102no—
1690C4—102no—
1691C4—201no—
1692C4—201no—
1693C4—201no—
1694C4—201no—
1695C4—201no—
1696C4—201no—
1697C4—201no—
1698C4—201no—
1699C4#6592514yes—
1700C2—42no—
1701C2—42no—
1702C2—42no—
1703C2—81no—
1704C2—104no—
1705C2—202no—
1706C2C2×#6592511yescharacteristic
1707C2#1061792211yescharacteristic
1708C2D5×#52511yescharacteristic
1709C2#1061793911yescharacteristic
1710C2#1061812011yescharacteristic
1711C2#1061813811yescharacteristic
1712C2#1061813911yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutator, socle, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC5×#2388C2
hypercenter#2388D5
hypocenterC5#34732
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ #2388

Complements

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

NH ≅ G/Ntype
1. C2×#66162C2semidirect
2. C2×C4×#711C2semidirect
3. C5×#2388C2semidirect
4. #10615817C2semidirect
5. C4×#4084C2semidirect
6. C4×#4083C2semidirect
7. #10614076C2semidirect
8. C4×#4085C2semidirect
9. #10614049C2semidirect
10. #10608982C2semidirect
11. #10608911C2semidirect
12. #10608849C2semidirect
13. #10608843C2semidirect
14. #10608840C2semidirect
15. #10608661C2semidirect
16. #10608655C2semidirect
17. #10608641C2semidirect
18. #10608597C2semidirect
19. #10608522C2semidirect
20. #10608488C2semidirect
21. #10608487C2semidirect
22. #10608485C2semidirect
23. #10608416C2semidirect
24. #10608414C2semidirect
25. #10608409C2semidirect
26. C4×#4029C2semidirect
27. #10605293C2semidirect
28. C4×D5×C22⋊C4C2semidirect
29. #10605212C2semidirect
30. #10605211C2semidirect
31. C4×#4032C2semidirect
36. C2×C4×C5×D4C22semidirect
37. C2×C4×C5×D4C22semidirect
50. C2×D4×Dic5C22semidirect
58. C2×#4072C22semidirect
59. C22×C4×Dic5C22semidirect
60. C22×C4×Dic5C22semidirect
63. C2×#4033C22semidirect
70. C2×#4023C22semidirect
71. C2×#4023C22semidirect
74. C2×C4×Dic10C22semidirect
75. C5×#395C22semidirect
78. C5×#394C22semidirect
79. C5×#393C22semidirect
82. C5×#392C22semidirect
84. C4×C5×C22⋊C4C22semidirect
85. C4×C5×C22⋊C4C22semidirect
86. #65519C22semidirect
87. #65519C22semidirect
89. #65511C22semidirect
92. #65510C22semidirect
98. #65509C22semidirect
99. #65509C22semidirect
100. #65509C22semidirect
103. C4×C22⋊Dic5C22semidirect
104. C4×C22⋊Dic5C22semidirect
105. C4×C22⋊Dic5C22semidirect
111. #65273C22semidirect
112. #65270C22semidirect
113. #65270C22semidirect
114. #65262C22semidirect
115. #65261C22semidirect
131. #65241C22semidirect
132. #65241C22semidirect
135. #65240C22semidirect
136. #65239C22semidirect
137. #65239C22semidirect
138. #65239C22semidirect
142. #65237C22semidirect
144. #65236C22semidirect
146. #65234C22semidirect
147. #65234C22semidirect
148. #65234C22semidirect
149. #65234C22semidirect
150. #65233C22semidirect
151. #65233C22semidirect
152. #65232C22semidirect
153. #65231C22semidirect
160. C4×C4⋊Dic5C22semidirect
161. C4×C4⋊Dic5C22semidirect
162. #65221C22semidirect
163. C4×#683C22semidirect
164. C4×#683C22semidirect
177. #64950C22semidirect
178. #64949C22semidirect
179. #64949C22semidirect
180. #64947C22semidirect
181. #64946C22semidirect
182. #64945C22semidirect
183. #64944C22semidirect
184. #64944C22semidirect
185. #64943C22semidirect
186. #64942C22semidirect
187. #64942C22semidirect
188. #64941C22semidirect
289. C4×C22⋊D5D4semidirect
413. #2388D5semidirect
469. C22×C4×C5#41semidirect
498. C2×C22⋊D5#41semidirect
553. C2×C4×D5#41semidirect
608. #685#41semidirect
674. C2×C4×D4C2×D5semidirect
675. C2×C4×D4C2×D5semidirect
702. #395C2×D5semidirect
710. #394C2×D5semidirect
714. #393C2×D5semidirect
718. #392C2×D5semidirect
796. C4×C22⋊C4C2×D5semidirect
797. C4×C22⋊C4C2×D5semidirect
1356. C22×C4#711semidirect
1624. C5#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#661622
C2×C4×#7112
C5×#23882
#106158172
C4×#40842
C4×#40832
#106140762
C4×#40852
#106140492
#106089822
#106089112
#106088492
#106088432
#106088402
#106086612
#106086552
#106086412
#106085972
#106085222
#106084882
#106084872
#106084852
#106084162
#106084142
#106084092
C4×#40292
#106052932
C4×D5×C22⋊C42
#106052122
#106052112
C4×#40322
#347325