Finite Group Databasebeta

← #12306403

Subgroups — #12306403

Order 1280.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2418C211yesmaximal, characteristic, complemented
2#10614639C211yesmaximal, characteristic, complemented
3#10614638C211yesmaximal, characteristic, complemented
4#10614343C211yesmaximal, characteristic, complemented
5#10614317C211yesmaximal, characteristic, complemented
6#10614138C211yesmaximal, characteristic, complemented
7#10614126C211yesmaximal, characteristic, complemented
8C2×#65244C211yesmaximal, characteristic, complemented
9#10613842C211yesmaximal, characteristic, complemented
10#10609851C211yesmaximal, characteristic, complemented
11#10609847C211yesmaximal, characteristic, complemented
12#10609435C211yesmaximal, characteristic, complemented
13#10609422C211yesmaximal, characteristic, complemented
14#10608875C211yesmaximal, characteristic, complemented
15#10608873C211yesmaximal, characteristic, complemented
16#10608868C211yesmaximal, characteristic, complemented
17#10608860C211yesmaximal, characteristic, complemented
18#10607667C211yesmaximal, characteristic, complemented
19#10607664C211yesmaximal, characteristic, complemented
20#10607654C211yesmaximal, characteristic, complemented
21#10607649C211yesmaximal, characteristic, complemented
22#10606650C211yesmaximal, characteristic, complemented
23#10606641C211yesmaximal, characteristic, complemented
24#10606636C211yesmaximal, characteristic, complemented
25#10606459C211yesmaximal, characteristic, complemented
26#10606323C211yesmaximal, characteristic, complemented
27#10606183C211yesmaximal, characteristic, complemented
28#10605752C211yesmaximal, characteristic, complemented
29#10605683C211yesmaximal, characteristic, complemented
30#10605592C211yesmaximal, characteristic, complemented
31#10605561C211yesmaximal, characteristic, complemented
32C25×D5C2211yescharacteristic
33C2×C5×#123C2211yescharacteristic, complemented
34C2×C5×#120C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic, complemented
36C22×C5×C22⋊C4C2211yescharacteristic
37C2×#4099C2211yescharacteristic
38C22×C22⋊Dic5C2211yescharacteristic
39C2×#4085C2211yescharacteristic, complemented
40C2×#4084C2211yescharacteristic, complemented
41C2×#4083C2211yescharacteristic
42C2×#4083C2211yescharacteristic
43C2×#4083C2211yescharacteristic
44C2×#4083C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×#4083C2211yescharacteristic
47C2×#4076C2211yescharacteristic, complemented
48C22×#685C2211yescharacteristic
49C22×#685C2211yescharacteristic
50C22×#685C2211yescharacteristic
51C22×#685C2211yescharacteristic
52C2×#4070C2211yescharacteristic, complemented
53C2×#4044C2211yescharacteristic, complemented
54C2×#4040C2211yescharacteristic, complemented
55C2×#4031C2211yescharacteristic, complemented
56C2×#4031C2211yescharacteristic, complemented
57C2×#4028C2211yescharacteristic
58C2×#4028C2211yescharacteristic
59C2×#4028C2211yescharacteristic
60C2×#4028C2211yescharacteristic
61C2×#4028C2211yescharacteristic
62C2×#4028C2211yescharacteristic
63C2×#4027C2211yescharacteristic, complemented
64C2×#4025C2211yescharacteristic, complemented
65C5×#399C2211yescharacteristic, complemented
66C5×#397C2211yescharacteristic, complemented
67C5×#394C2211yescharacteristic, complemented
68C5×#394C2211yescharacteristic, complemented
69C5×#388C2211yescharacteristic, complemented
70C5×#388C2211yescharacteristic, complemented
71C5×#386C2211yescharacteristic, complemented
72C5×#386C2211yescharacteristic, complemented
73C5×#385C2211yescharacteristic, complemented
74C5×#380C2211yescharacteristic, complemented
75C5×#379C2211yescharacteristic
76#65536C2211yescharacteristic
77#65512C2211yescharacteristic, complemented
78#65511C2211yescharacteristic, complemented
79#65510C2211yescharacteristic, complemented
80#65509C2211yescharacteristic, complemented
81#65502C2211yescharacteristic, complemented
82#65502C2211yescharacteristic, complemented
83#65502C2211yescharacteristic, complemented
84#65502C2211yescharacteristic, complemented
85#65502C2211yescharacteristic, complemented
86C4×C22⋊Dic5C2211yescharacteristic, complemented
87#65283C2211yescharacteristic, complemented
88#65283C2211yescharacteristic, complemented
89#65283C2211yescharacteristic, complemented
90#65283C2211yescharacteristic, complemented
91#65283C2211yescharacteristic, complemented
92#65283C2211yescharacteristic, complemented
93#65282C2211yescharacteristic, complemented
94#65281C2211yescharacteristic, complemented
95#65280C2211yescharacteristic, complemented
96#65280C2211yescharacteristic, complemented
97#65279C2211yescharacteristic, complemented
98#65279C2211yescharacteristic, complemented
99#65279C2211yescharacteristic, complemented
100#65279C2211yescharacteristic, complemented
101#65279C2211yescharacteristic, complemented
102#65279C2211yescharacteristic, complemented
103#65277C2211yescharacteristic, complemented
104#65277C2211yescharacteristic, complemented
105#65250C2211yescharacteristic, complemented
106#65250C2211yescharacteristic, complemented
107#65250C2211yescharacteristic, complemented
108#65250C2211yescharacteristic, complemented
109#65249C2211yescharacteristic, complemented
110#65249C2211yescharacteristic, complemented
111#65249C2211yescharacteristic, complemented
112#65248C2211yescharacteristic, complemented
113#65248C2211yescharacteristic, complemented
114#65248C2211yescharacteristic, complemented
115#65248C2211yescharacteristic, complemented
116#65246C2211yescharacteristic, complemented
117#65246C2211yescharacteristic, complemented
118#65246C2211yescharacteristic, complemented
119#65246C2211yescharacteristic, complemented
120#65245C2211yescharacteristic, complemented
121#65244C2211yescharacteristic
122#65244C2211yescharacteristic
123#65244C2211yescharacteristic
124#65244C2211yescharacteristic
125#65244C2211yescharacteristic
126#65244C2211yescharacteristic
127#65244C2211yescharacteristic
128#65244C2211yescharacteristic
129#65244C2211yescharacteristic
130#65244C2211yescharacteristic
131#65244C2211yescharacteristic
132#65244C2211yescharacteristic
133#65244C2211yescharacteristic
134#65244C2211yescharacteristic
135#65244C2211yescharacteristic
136#65244C2211yescharacteristic
137#65244C2211yescharacteristic
138#65244C2211yescharacteristic
139#65244C2211yescharacteristic
140#65244C2211yescharacteristic
141#65242C2211yescharacteristic, complemented
142#65241C2211yescharacteristic, complemented
143#65241C2211yescharacteristic, complemented
144#65241C2211yescharacteristic, complemented
145#65240C2211yescharacteristic, complemented
146#65240C2211yescharacteristic, complemented
147#65239C2211yescharacteristic, complemented
148#65239C2211yescharacteristic, complemented
149#65237C2211yescharacteristic, complemented
150#65237C2211yescharacteristic, complemented
151#65236C2211yescharacteristic, complemented
152#65235C2211yescharacteristic, complemented
153#65234C2211yescharacteristic, complemented
154#65233C2211yescharacteristic, complemented
155#65233C2211yescharacteristic, complemented
156#65233C2211yescharacteristic, complemented
157#65231C2211yescharacteristic, complemented
158C22⋊C4×Dic5C2211yescharacteristic, complemented
159#65229C2211yescharacteristic, complemented
160#65229C2211yescharacteristic, complemented
161#65229C2211yescharacteristic, complemented
162#65228C2211yescharacteristic, complemented
163#64966C2211yescharacteristic, complemented
164#64966C2211yescharacteristic, complemented
165#64964C2211yescharacteristic, complemented
166#64964C2211yescharacteristic, complemented
167#64964C2211yescharacteristic, complemented
168#64964C2211yescharacteristic, complemented
169#64964C2211yescharacteristic, complemented
170#64963C2211yescharacteristic, complemented
171#64962C2211yescharacteristic, complemented
172#64962C2211yescharacteristic, complemented
173#64962C2211yescharacteristic, complemented
174#64961C2211yescharacteristic, complemented
175#64961C2211yescharacteristic, complemented
176#64961C2211yescharacteristic, complemented
177#64959C2211yescharacteristic, complemented
178#64959C2211yescharacteristic, complemented
179#64958C2211yescharacteristic, complemented
180#64958C2211yescharacteristic, complemented
181#64958C2211yescharacteristic, complemented
182#64958C2211yescharacteristic, complemented
183#64958C2211yescharacteristic, complemented
184#64954C2211yescharacteristic, complemented
185#64954C2211yescharacteristic, complemented
186#64954C2211yescharacteristic, complemented
187#36725—51nomaximal, Sylow
188C25×C5C2311yescharacteristic
189C24×D5—24no—
190C24×D5—42no—
191C24×D5—42no—
192C24×D5—42no—
193C24×D5—42no—
194C24×D5—42no—
195C24×D5—42no—
196C24×D5C2311yescharacteristic
197C24×D5C2311yescharacteristic
198C24×D5C2311yescharacteristic
199C24×D5C2311yescharacteristic
200C24×D5C2311yescharacteristic
201C24×D5C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C22×C5×D4C2311yescharacteristic
205C23×C4×C5C2311yescharacteristic
206C23×C4×C5C2311yescharacteristic
207C23×C4×C5C2311yescharacteristic, complemented
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic, complemented
216C23×Dic5C2311yescharacteristic
217C23×Dic5C2311yescharacteristic
218C22×D20C2311yescharacteristic
219C22×D20C2311yescharacteristic
220C22×D20C2311yescharacteristic
221C22×D20C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic, complemented
223C22×Dic10C2311yescharacteristic, complemented
224C5×#123—42no—
225C5×#120—42no—
226C4×C5×D4—42no—
227C2×C5×C4⋊C4C2311yescharacteristic, complemented
228C2×C5×C4⋊C4C2311yescharacteristic, complemented
229C2×C5×C4⋊C4C2311yescharacteristic, complemented
230C2×C5×C4⋊C4C2311yescharacteristic, complemented
231C2×C5×C4⋊C4C2311yescharacteristic, complemented
232C2×C5×C22⋊C4—42no—
233C2×C5×C22⋊C4C2311yescharacteristic
234C2×C5×C22⋊C4C2311yescharacteristic
235C2×C5×C22⋊C4C2311yescharacteristic
236C2×C5×C22⋊C4C2311yescharacteristic
237C2×C5×C22⋊C4C2311yescharacteristic
238C2×C5×C22⋊C4C2311yescharacteristic
239C2×C5×C22⋊C4C2311yescharacteristic
240C2×C5×C22⋊C4C2311yescharacteristic
241C2×C5×C22⋊C4C2311yescharacteristic
242C2×C5×C22⋊C4C2311yescharacteristic
243C2×C5×C22⋊C4C2311yescharacteristic
244C2×C5×C22⋊C4C2311yescharacteristic
245C2×C5×C22⋊C4C2311yescharacteristic
246C2×C5×C22⋊C4C2311yescharacteristic, complemented
247C2×C5×C22⋊C4C2311yescharacteristic, complemented
248C2×C5×C22⋊C4C2311yescharacteristic, complemented
249C2×C42×C5C2311yescharacteristic, complemented
250#4099—42no—
251C2×C22⋊Dic5—42no—
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, complemented
266C2×C22⋊Dic5C2311yescharacteristic, complemented
267C2×C22⋊Dic5C2311yescharacteristic, complemented
268#4085—42no—
269#4084—42no—
270#4083—24no—
271#4083—42no—
272#4083—42no—
273#4083—42no—
274#4083—42no—
275#4083—42no—
276#4076—42no—
277C2×#685—42no—
278C2×#685—42no—
279C2×#685—42no—
280C2×#685—42no—
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#685C2311yescharacteristic
297C2×#685C2311yescharacteristic
298C2×#685C2311yescharacteristic
299C2×#685C2311yescharacteristic
300C2×#685C2311yescharacteristic
301C2×#685C2311yescharacteristic
302C2×#685C2311yescharacteristic
303C2×#685C2311yescharacteristic
304C2×#685C2311yescharacteristic
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, complemented
322C2×#685C2311yescharacteristic, complemented
323C2×#685C2311yescharacteristic, complemented
324C2×#685C2311yescharacteristic, complemented
325C2×#685C2311yescharacteristic, complemented
326C2×#685C2311yescharacteristic, complemented
327C2×C4⋊Dic5C2311yescharacteristic, complemented
328C2×C4⋊Dic5C2311yescharacteristic, complemented
329C2×C4⋊Dic5C2311yescharacteristic, complemented
330C2×C4⋊Dic5C2311yescharacteristic, complemented
331C2×C4⋊Dic5C2311yescharacteristic, complemented
332#4070—42no—
333C2×#683C2311yescharacteristic, complemented
334C2×#683C2311yescharacteristic, complemented
335C2×#683C2311yescharacteristic, complemented
336C2×#683C2311yescharacteristic, complemented
337C2×#683C2311yescharacteristic, complemented
338C2×#683C2311yescharacteristic, complemented
339C2×#683C2311yescharacteristic, complemented
340C2×#683C2311yescharacteristic, complemented
341C2×C4×Dic5C2311yescharacteristic, complemented
342C2×C4×Dic5C2311yescharacteristic, complemented
343C2×C4×Dic5C2311yescharacteristic, complemented
344C2×C4×Dic5C2311yescharacteristic, complemented
345C2×C4×Dic5C2311yescharacteristic, complemented
346#4044—42no—
347#4040—42no—
348#4031—42no—
349#4031—42no—
350#4028—24no—
351#4028—42no—
352#4028—42no—
353#4028—42no—
354#4028—42no—
355#4028—42no—
356#4027—42no—
357#4025—42no—
358C5×#95C2311yescharacteristic, complemented
359C5×#95C2311yescharacteristic, complemented
360C5×#95C2311yescharacteristic, complemented
361C5×#95C2311yescharacteristic, complemented
362C5×#95C2311yescharacteristic, complemented
363C5×#95C2311yescharacteristic, complemented
364#3963C2311yescharacteristic, complemented
365#3963C2311yescharacteristic, complemented
366#3963C2311yescharacteristic, complemented
367#3963C2311yescharacteristic, complemented
368#3963C2311yescharacteristic, complemented
369#3963C2311yescharacteristic, complemented
370#3963C2311yescharacteristic, complemented
371#3963C2311yescharacteristic, complemented
372#3963C2311yescharacteristic, complemented
373#3963C2311yescharacteristic, complemented
374#3963C2311yescharacteristic, complemented
375#3963C2311yescharacteristic, complemented
376#3963C2311yescharacteristic, complemented
377#3963C2311yescharacteristic, complemented
378#3963C2311yescharacteristic, complemented
379#3963C2311yescharacteristic, complemented
380#3963C2311yescharacteristic, complemented
381#3963C2311yescharacteristic, complemented
382#2846—51no—
383#2846—51no—
384#2736—51no—
385#2735—51no—
386#2735—51no—
387#2735—51no—
388#2697—51no—
389#2697—51no—
390#2685—51no—
391#2685—51no—
392#2685—51no—
393#2685—51no—
394#2684—51no—
395#2684—51no—
396#2678—51no—
397#2678—51no—
398#2670—51no—
399#2668—51no—
400#2626—51no—
401#2617—51no—
402#2480—51no—
403#2480—51no—
404#2472—51no—
405#2472—51no—
406#2424—51no—
407#2424—51no—
408#2418—51no—
409#2418D511yescharacteristic, complemented
410#2321—51no—
411#2321—51no—
412C2×#379—51no—
413C24×C5—22no—
414C24×C5—22no—
415C24×C5—22no—
416C24×C5—22no—
417C24×C5—22no—
418C24×C5—41no—
419C24×C5—41no—
420C24×C5C2411yescharacteristic
421C24×C5C2411yescharacteristic
422C24×C5C2411yescharacteristic
423C24×C5C2411yescharacteristic
424C23×D5—22no—
425C23×D5—22no—
426C23×D5—22no—
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—22no—
433C23×D5—22no—
434C23×D5—22no—
435C23×D5—22no—
436C23×D5—22no—
437C23×D5—22no—
438C23×D5—22no—
439C23×D5—22no—
440C23×D5—22no—
441C23×D5—22no—
442C23×D5—22no—
443C23×D5—41no—
444C23×D5—41no—
445C23×D5—41no—
446C23×D5—41no—
447C23×D5—41no—
448C23×D5—41no—
449C23×D5—41no—
450C23×D5—41no—
451C23×D5—41no—
452C23×D5—41no—
453C23×D5—41no—
454C23×D5—41no—
455C23×D5—41no—
456C23×D5—41no—
457C23×D5—41no—
458C23×D5—41no—
459C23×D5—41no—
460C23×D5—41no—
461C23×D5—41no—
462C23×D5—41no—
463C23×D5—41no—
464C23×D5—41no—
465C23×D5—416no—
466C23×D5—416no—
467C23×D5—416no—
468C23×D5—416no—
469C23×D5—416no—
470C23×D5—416no—
471C23×D5—416no—
472C23×D5#4114yes—
473C23×D5C2411yescharacteristic
474C23×D5C2411yescharacteristic
475C23×D5C2411yescharacteristic
476C23×D5C2411yescharacteristic
477C23×D5C2411yescharacteristic
478C2×C5×D4—22no—
479C2×C5×D4—22no—
480C2×C5×D4—22no—
481C2×C5×D4—22no—
482C2×C5×D4—22no—
483C2×C5×D4—41no—
484C2×C5×D4—41no—
485C2×C5×D4—41no—
486C2×C5×D4—41no—
487C22×C4×C5—22no—
488C22×C4×C5—22no—
489C22×C4×C5—41no—
490C22×C4×C5—41no—
491C22×C4×C5—41no—
492C22×C4×C5—41no—
493C22×C4×C5—41no—
494C22×C4×C5—41no—
495C22×C4×C5—41no—
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
505C22×C4×C5C2411yescharacteristic
506C22×C4×C5C2411yescharacteristic
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—41no—
517C2×C22⋊D5—41no—
518C2×C22⋊D5—41no—
519C2×C22⋊D5—41no—
520C2×C22⋊D5—41no—
521C2×C22⋊D5—41no—
522C2×C22⋊D5—41no—
523C2×C22⋊D5—41no—
524C2×C22⋊D5—41no—
525C2×C22⋊D5—41no—
526C2×C22⋊D5—41no—
527C2×C22⋊D5—41no—
528C2×C22⋊D5—41no—
529C2×C22⋊D5—41no—
530C2×C22⋊D5—41no—
531C22×Dic5—22no—
532C22×Dic5—22no—
533C22×Dic5—41no—
534C22×Dic5—41no—
535C22×Dic5—41no—
536C22×Dic5—41no—
537C22×Dic5C2411yescharacteristic
538C22×Dic5C2411yescharacteristic
539C22×Dic5C2411yescharacteristic
540C22×Dic5C2411yescharacteristic
541C22×Dic5C2411yescharacteristic
542C22×Dic5C2411yescharacteristic
543C22×Dic5C2411yescharacteristic
544C22×Dic5C2411yescharacteristic
545C22×Dic5C2411yescharacteristic
546C22×Dic5C2411yescharacteristic
547C22×Dic5C2411yescharacteristic
548C2×D20—22no—
549C2×D20—22no—
550C2×D20—22no—
551C2×D20—22no—
552C2×D20—41no—
553C2×D20—41no—
554C2×D20—41no—
555C2×D20—41no—
556C2×D20—41no—
557C2×D20—41no—
558C2×D20—41no—
559C2×D20—41no—
560C2×C4×D5—41no—
561C2×C4×D5—41no—
562C2×C4×D5—41no—
563C2×Dic10—41no—
564C2×Dic10—41no—
565C2×Dic10—41no—
566C5×C4⋊C4—41no—
567C5×C4⋊C4—41no—
568C5×C4⋊C4—41no—
569C5×C4⋊C4—41no—
570C5×C4⋊C4—41no—
571C5×C22⋊C4—22no—
572C5×C22⋊C4—22no—
573C5×C22⋊C4—22no—
574C5×C22⋊C4—22no—
575C5×C22⋊C4—22no—
576C5×C22⋊C4—22no—
577C5×C22⋊C4—22no—
578C5×C22⋊C4—41no—
579C5×C22⋊C4—41no—
580C5×C22⋊C4—41no—
581C5×C22⋊C4—41no—
582C5×C22⋊C4—41no—
583C5×C22⋊C4—41no—
584C5×C22⋊C4—41no—
585C5×C22⋊C4—41no—
586C5×C22⋊C4—41no—
587C42×C5—41no—
588C22⋊Dic5—22no—
589C22⋊Dic5—22no—
590C22⋊Dic5—22no—
591C22⋊Dic5—22no—
592C22⋊Dic5—22no—
593C22⋊Dic5—22no—
594C22⋊Dic5—22no—
595C22⋊Dic5—41no—
596C22⋊Dic5—41no—
597C22⋊Dic5—41no—
598C22⋊Dic5—41no—
599C22⋊Dic5—41no—
600C22⋊Dic5—41no—
601C22⋊Dic5—41no—
602C22⋊Dic5—41no—
603C22⋊Dic5—41no—
604#685—22no—
605#685—22no—
606#685—22no—
607#685—22no—
608#685—22no—
609#685—22no—
610#685—22no—
611#685—22no—
612#685—22no—
613#685—22no—
614#685—22no—
615#685—22no—
616#685—41no—
617#685—41no—
618#685—41no—
619#685—41no—
620#685—41no—
621#685—41no—
622#685—41no—
623#685—41no—
624#685—41no—
625#685—41no—
626#685—41no—
627#685—41no—
628#685—41no—
629#685—41no—
630#685—41no—
631#685—41no—
632#685—41no—
633#685—41no—
634#685—41no—
635#685—41no—
636#685—41no—
637#685—41no—
638#685—41no—
639#685—41no—
640#685—41no—
641#685—41no—
642#685—41no—
643#685—41no—
644#685—41no—
645#685—41no—
646#685—41no—
647#685—41no—
648#685—41no—
649#685—41no—
650C4⋊Dic5—41no—
651C4⋊Dic5—41no—
652C4⋊Dic5—41no—
653C4⋊Dic5—41no—
654C4⋊Dic5—41no—
655#683—41no—
656#683—41no—
657#683—41no—
658#683—41no—
659#683—41no—
660#683—41no—
661#683—41no—
662#683—41no—
663C4×Dic5—41no—
664C4×Dic5—41no—
665C4×Dic5—41no—
666C4×Dic5—41no—
667C4×Dic5—41no—
668C26—51no—
669C2×#126—51no—
670C2×#126—51no—
671C2×#124—51no—
672C2×#124—51no—
673C2×#123—51no—
674C2×#123C2×D511yescharacteristic, complemented
675C2×C22⋊Q8—51no—
676C2×#121—51no—
677C2×#121—51no—
678C2×#121—51no—
679C2×#120—51no—
680C2×#120—51no—
681C2×#120—51no—
682C2×#120—51no—
683C2×#120—51no—
684C2×#120—51no—
685C2×#120—51no—
686C2×#120—51no—
687C2×#120—51no—
688C2×#120—51no—
689C2×#120—51no—
690C2×#120—51no—
691C2×#120—51no—
692C2×#120C2×D511yescharacteristic
693C2×C4×D4—51no—
694C2×C4×D4C2×D511yescharacteristic, complemented
695C22×C22⋊C4—51no—
696C22×C22⋊C4—51no—
697C22×C22⋊C4—51no—
698C22×C22⋊C4—51no—
699C22×C22⋊C4—51no—
700C22×C22⋊C4C2×D511yescharacteristic
701#399—51no—
702#399—51no—
703#399—51no—
704#399C2×D511yescharacteristic, complemented
705#397—51no—
706#397—51no—
707#397—51no—
708#397—51no—
709#397—51no—
710#397—51no—
711#397—51no—
712#397—51no—
713#397—51no—
714#397—51no—
715#397—51no—
716#397C2×D511yescharacteristic, complemented
717#396—51no—
718#396—51no—
719#396—51no—
720#396—51no—
721#396—51no—
722#396—51no—
723#396—51no—
724#396—51no—
725#394—51no—
726#394—51no—
727#394—51no—
728#394—51no—
729#394—51no—
730#394—51no—
731#394—51no—
732#394—51no—
733#394—51no—
734#394—51no—
735#394—51no—
736#394—51no—
737#394—51no—
738#394—51no—
739#394C2×D511yescharacteristic, complemented
740#394C2×D511yescharacteristic, complemented
741#393—51no—
742#393—51no—
743#393—51no—
744#393—51no—
745#392—51no—
746#392—51no—
747#392—51no—
748#392—51no—
749#390—51no—
750#390—51no—
751#390—51no—
752#390—51no—
753#390—51no—
754#390—51no—
755#390—51no—
756#390—51no—
757#388—51no—
758#388—51no—
759#388—51no—
760#388—51no—
761#388—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#388—51no—
775#388—51no—
776#388—51no—
777#388—51no—
778#388—51no—
779#388C2×D511yescharacteristic, complemented
780#388C2×D511yescharacteristic, complemented
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#386C2×D511yescharacteristic, complemented
792#386C2×D511yescharacteristic, complemented
793#385—51no—
794#385—51no—
795#385—51no—
796#385C2×D511yescharacteristic, complemented
797#380—51no—
798#380C2×D511yescharacteristic, complemented
799#379—51no—
800#379—51no—
801#379—51no—
802#379—51no—
803#379—51no—
804#379—51no—
805#379—51no—
806#379—51no—
807#379—51no—
808#379—51no—
809#379—51no—
810#379—51no—
811#379—51no—
812#379—51no—
813#379—51no—
814#379—51no—
815#379—51no—
816#379—51no—
817#379—51no—
818#379—51no—
819#379—51no—
820#379C2×D511yescharacteristic
821C4×C22⋊C4—51no—
822C4×C22⋊C4—51no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—21no—
826C23×C5—21no—
827C23×C5—28no—
828C23×C5—21no—
829C23×C5—21no—
830C23×C5—21no—
831C23×C5—21no—
832C23×C5—21no—
833C23×C5—21no—
834C23×C5—21no—
835C23×C5—21no—
836C23×C5—21no—
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—44no—
848C23×C5—44no—
849C23×C5—44no—
850C23×C5—44no—
851C23×C5—44no—
852C23×C5—44no—
853C23×C5C2×#4112yes—
854C23×C5H(5,𝔽2)12yes—
855C23×C5H(5,𝔽2)12yes—
856C23×C5H(5,𝔽2)12yes—
857C23×C5H(5,𝔽2)12yes—
858C23×C5C2511yescharacteristic
859C22×D5—28no—
860C22×D5—28no—
861C22×D5—21no—
862C22×D5—21no—
863C22×D5—21no—
864C22×D5—21no—
865C22×D5—21no—
866C22×D5—21no—
867C22×D5—21no—
868C22×D5—21no—
869C22×D5—21no—
870C22×D5—21no—
871C22×D5—21no—
872C22×D5—21no—
873C22×D5—21no—
874C22×D5—21no—
875C22×D5—21no—
876C22×D5—21no—
877C22×D5—21no—
878C22×D5—21no—
879C22×D5—21no—
880C22×D5—21no—
881C22×D5—21no—
882C22×D5—21no—
883C22×D5—21no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—21no—
892C22×D5—44no—
893C22×D5—44no—
894C22×D5—44no—
895C22×D5—44no—
896C22×D5—44no—
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—44no—
906C22×D5—44no—
907C22×D5—44no—
908C22×D5—44no—
909C22×D5—44no—
910C22×D5—44no—
911C22×D5—44no—
912C22×D5—44no—
913C22×D5—44no—
914C22×D5—44no—
915C22×D5—44no—
916C22×D5—44no—
917C22×D5—44no—
918C22×D5—44no—
919C22×D5—44no—
920C22×D5—44no—
921C22×D5—44no—
922C22×D5—44no—
923C22×D5—44no—
924C22×D5—44no—
925C22×D5—44no—
926C22×D5—44no—
927C22×D5—4128no—
928C22×D5—44no—
929C22×D5—44no—
930C22×D5—44no—
931C22×D5—44no—
932C22×D5—44no—
933C22×D5C2×#4112yes—
934C22×D5C2×#4112yes—
935C22×D5H(5,𝔽2)12yes—
936C22×D5H(5,𝔽2)12yes—
937C5×D4—44no—
938C5×D4—82no—
939C5×D4—82no—
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—21no—
951C2×C4×C5—21no—
952C2×C4×C5—21no—
953C2×C4×C5—21no—
954C2×C4×C5—21no—
955C2×C4×C5—21no—
956C2×C4×C5—21no—
957C2×C4×C5—21no—
958C2×C4×C5—21no—
959C2×C4×C5—21no—
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—21no—
971C2×C4×C5—21no—
972C2×C4×C5—21no—
973C2×C4×C5—82no—
974C2×C4×C5—82no—
975C2×C4×C5—82no—
976C22⋊D5—44no—
977C22⋊D5—82no—
978C22⋊D5—82no—
979C22⋊D5—82no—
980C22⋊D5—82no—
981C22⋊D5—82no—
982C22⋊D5—82no—
983C22⋊D5—82no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—21no—
1002C2×Dic5—21no—
1003C2×Dic5—21no—
1004C2×Dic5—21no—
1005C2×Dic5—21no—
1006C2×Dic5—21no—
1007C2×Dic5—21no—
1008C2×Dic5—21no—
1009C2×Dic5—21no—
1010C2×Dic5—21no—
1011C2×Dic5—21no—
1012C2×Dic5—21no—
1013C2×Dic5—21no—
1014C2×Dic5—21no—
1015C2×Dic5—21no—
1016C2×Dic5—21no—
1017C2×Dic5—82no—
1018C2×Dic5—82no—
1019D20—82no—
1020D20—82no—
1021D20—82no—
1022D20—82no—
1023C4×D5—82no—
1024Dic10—82no—
1025C25—51no—
1026C25—51no—
1027C25—51no—
1028C25—51no—
1029C25—51no—
1030C25—51no—
1031C25—104no—
1032C25—202no—
1033C25—202no—
1034C25—202no—
1035C25—202no—
1036C25—202no—
1037C25—202no—
1038C25C22×D511yescharacteristic
1039C22×Q8—51no—
1040C22×D4—51no—
1041C22×D4—51no—
1042C22×D4—51no—
1043C22×D4—51no—
1044C22×D4—51no—
1045C22×D4—51no—
1046C22×D4—51no—
1047C22×D4—51no—
1048C22×D4—51no—
1049C22×D4—51no—
1050C22×D4—51no—
1051C22×D4—51no—
1052C22×D4C22×D511yescharacteristic
1053C22×D4C22×D511yescharacteristic
1054C22×D4C22×D511yescharacteristic
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4C22×D511yescharacteristic
1059C23×C4C22×D511yescharacteristic
1060C23×C4C22×D511yescharacteristic, complemented
1061#126—202no—
1062#126—202no—
1063#124—202no—
1064#124—202no—
1065#123—42no—
1066#123—202no—
1067C22⋊Q8—202no—
1068#121—202no—
1069#121—202no—
1070#121—202no—
1071#120—42no—
1072#120—104no—
1073#120—104no—
1074#120—202no—
1075#120—202no—
1076#120—202no—
1077#120—202no—
1078#120—202no—
1079#120—202no—
1080#120—202no—
1081#120—202no—
1082#120—202no—
1083#120—202no—
1084#120—202no—
1085C4×D4—42no—
1086C4×D4—202no—
1087C2×C4⋊C4—51no—
1088C2×C4⋊C4—51no—
1089C2×C4⋊C4—51no—
1090C2×C4⋊C4—51no—
1091C2×C4⋊C4—51no—
1092C2×C4⋊C4—51no—
1093C2×C4⋊C4—51no—
1094C2×C4⋊C4—51no—
1095C2×C4⋊C4—51no—
1096C2×C4⋊C4—51no—
1097C2×C4⋊C4—51no—
1098C2×C4⋊C4—51no—
1099C2×C4⋊C4—51no—
1100C2×C4⋊C4C22×D511yescharacteristic, complemented
1101C2×C4⋊C4C22×D511yescharacteristic, complemented
1102C2×C4⋊C4C22×D511yescharacteristic, complemented
1103C2×C4⋊C4C22×D511yescharacteristic, complemented
1104C2×C4⋊C4C22×D511yescharacteristic, complemented
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—51no—
1107C2×C22⋊C4—51no—
1108C2×C22⋊C4—51no—
1109C2×C22⋊C4—51no—
1110C2×C22⋊C4—51no—
1111C2×C22⋊C4—51no—
1112C2×C22⋊C4—51no—
1113C2×C22⋊C4—51no—
1114C2×C22⋊C4—51no—
1115C2×C22⋊C4—51no—
1116C2×C22⋊C4—51no—
1117C2×C22⋊C4—51no—
1118C2×C22⋊C4—51no—
1119C2×C22⋊C4—51no—
1120C2×C22⋊C4—51no—
1121C2×C22⋊C4—51no—
1122C2×C22⋊C4—51no—
1123C2×C22⋊C4—51no—
1124C2×C22⋊C4—51no—
1125C2×C22⋊C4—51no—
1126C2×C22⋊C4—51no—
1127C2×C22⋊C4—51no—
1128C2×C22⋊C4—51no—
1129C2×C22⋊C4—51no—
1130C2×C22⋊C4—51no—
1131C2×C22⋊C4—51no—
1132C2×C22⋊C4—51no—
1133C2×C22⋊C4—51no—
1134C2×C22⋊C4—51no—
1135C2×C22⋊C4—51no—
1136C2×C22⋊C4—51no—
1137C2×C22⋊C4—51no—
1138C2×C22⋊C4—51no—
1139C2×C22⋊C4—51no—
1140C2×C22⋊C4—51no—
1141C2×C22⋊C4—51no—
1142C2×C22⋊C4—51no—
1143C2×C22⋊C4—51no—
1144C2×C22⋊C4—51no—
1145C2×C22⋊C4—51no—
1146C2×C22⋊C4—51no—
1147C2×C22⋊C4—51no—
1148C2×C22⋊C4—51no—
1149C2×C22⋊C4—51no—
1150C2×C22⋊C4—51no—
1151C2×C22⋊C4—51no—
1152C2×C22⋊C4—51no—
1153C2×C22⋊C4—51no—
1154C2×C22⋊C4—51no—
1155C2×C22⋊C4—51no—
1156C2×C22⋊C4—51no—
1157C2×C22⋊C4—51no—
1158C2×C22⋊C4—51no—
1159C2×C22⋊C4—51no—
1160C2×C22⋊C4—51no—
1161C2×C22⋊C4—51no—
1162C2×C22⋊C4—51no—
1163C2×C22⋊C4—51no—
1164C2×C22⋊C4—51no—
1165C2×C22⋊C4—51no—
1166C2×C22⋊C4—51no—
1167C2×C22⋊C4—51no—
1168C2×C22⋊C4—202no—
1169C2×C22⋊C4—202no—
1170C2×C22⋊C4—202no—
1171C2×C22⋊C4—202no—
1172C2×C22⋊C4—202no—
1173C2×C22⋊C4C22×D511yescharacteristic
1174C2×C22⋊C4C22×D511yescharacteristic
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, complemented
1187C2×C22⋊C4C22×D511yescharacteristic, complemented
1188C2×C22⋊C4C22×D511yescharacteristic, complemented
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42C22×D511yescharacteristic, complemented
1195#95—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#95C22×D511yescharacteristic, complemented
1214#95C22×D511yescharacteristic, complemented
1215#95C22×D511yescharacteristic, complemented
1216#95C22×D511yescharacteristic, complemented
1217#95C22×D511yescharacteristic, complemented
1218#95C22×D511yescharacteristic, complemented
1219C22×C5—22no—
1220C22×C5—22no—
1221C22×C5—22no—
1222C22×C5—22no—
1223C22×C5—22no—
1224C22×C5—22no—
1225C22×C5—22no—
1226C22×C5—22no—
1227C22×C5—22no—
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—416no—
1232C22×C5—41no—
1233C22×C5—41no—
1234C22×C5—41no—
1235C22×C5—41no—
1236C22×C5—41no—
1237C22×C5—41no—
1238C22×C5—41no—
1239C22×C5—41no—
1240C22×C5—41no—
1241C22×C5—41no—
1242C22×C5—41no—
1243C22×C5—41no—
1244C22×C5—41no—
1245C22×C5—41no—
1246C22×C5—41no—
1247C22×C5#53814yes—
1248C22×C5C22×#4111yescharacteristic
1249C22×C5C2×H(5,𝔽2)11yescharacteristic
1250C22×C5C2×H(5,𝔽2)11yescharacteristic
1251C22×C5C2×H(5,𝔽2)11yescharacteristic
1252C22×C5C2×H(5,𝔽2)11yescharacteristic
1253C22×C5C2×H(5,𝔽2)11yescharacteristic
1254C22×C5C2×H(5,𝔽2)11yescharacteristic
1255C2×D5—22no—
1256C2×D5—22no—
1257C2×D5—22no—
1258C2×D5—22no—
1259C2×D5—22no—
1260C2×D5—22no—
1261C2×D5—22no—
1262C2×D5—22no—
1263C2×D5—22no—
1264C2×D5—22no—
1265C2×D5—22no—
1266C2×D5—22no—
1267C2×D5—416no—
1268C2×D5—416no—
1269C2×D5—416no—
1270C2×D5—416no—
1271C2×D5—416no—
1272C2×D5—416no—
1273C2×D5—41no—
1274C2×D5—41no—
1275C2×D5—41no—
1276C2×D5—41no—
1277C2×D5—41no—
1278C2×D5—41no—
1279C2×D5—41no—
1280C2×D5—41no—
1281C2×D5—41no—
1282C2×D5—41no—
1283C2×D5—41no—
1284C2×D5—41no—
1285C2×D5—41no—
1286C2×D5—41no—
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5—41no—
1294C2×D5—41no—
1295C2×D5—41no—
1296C4×C5—41no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302C4×C5—41no—
1303C4×C5—41no—
1304C4×C5—41no—
1305C4×C5—41no—
1306C4×C5—41no—
1307Dic5—41no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317Dic5—41no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—22no—
1323C24—41no—
1324C24—41no—
1325C24—51no—
1326C24—51no—
1327C24—51no—
1328C24—51no—
1329C24—54no—
1330C24—51no—
1331C24—102no—
1332C24—102no—
1333C24—102no—
1334C24—102no—
1335C24—102no—
1336C24—102no—
1337C24—102no—
1338C24—102no—
1339C24—102no—
1340C24—102no—
1341C24—102no—
1342C24—102no—
1343C24—102no—
1344C24—102no—
1345C24—102no—
1346C24—102no—
1347C24—102no—
1348C24—102no—
1349C24—102no—
1350C24—201no—
1351C24—201no—
1352C24—201no—
1353C24—201no—
1354C24—201no—
1355C24—201no—
1356C24—201no—
1357C24—201no—
1358C24—201no—
1359C24—201no—
1360C24—201no—
1361C24—201no—
1362C24—201no—
1363C24—201no—
1364C24—201no—
1365C24—201no—
1366C24—201no—
1367C24—201no—
1368C24—201no—
1369C24—201no—
1370C24—201no—
1371C24—201no—
1372C24—2016no—
1373C24—2016no—
1374C24—2016no—
1375C24—2016no—
1376C24—2016no—
1377C24—2016no—
1378C24—2016no—
1379C24C23×D511yescharacteristic
1380C24C23×D511yescharacteristic
1381C24C23×D511yescharacteristic
1382C24C23×D511yescharacteristic
1383C2×Q8—201no—
1384C2×Q8—201no—
1385C2×Q8—201no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—102no—
1396C2×D4—102no—
1397C2×D4—102no—
1398C2×D4—102no—
1399C2×D4—102no—
1400C2×D4—102no—
1401C2×D4—102no—
1402C2×D4—102no—
1403C2×D4—102no—
1404C2×D4—102no—
1405C2×D4—102no—
1406C2×D4—102no—
1407C2×D4—102no—
1408C2×D4—201no—
1409C2×D4—201no—
1410C2×D4—201no—
1411C2×D4—201no—
1412C2×D4—201no—
1413C2×D4—201no—
1414C2×D4—201no—
1415C2×D4—201no—
1416C2×D4—201no—
1417C2×D4—201no—
1418C2×D4—201no—
1419C2×D4—201no—
1420C2×D4—201no—
1421C2×D4—201no—
1422C2×D4—201no—
1423C2×D4—201no—
1424C2×D4—201no—
1425C2×D4—201no—
1426C2×D4—201no—
1427C2×D4—201no—
1428C2×D4—201no—
1429C2×D4—201no—
1430C2×D4—201no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—51no—
1441C22×C4—51no—
1442C22×C4—51no—
1443C22×C4—51no—
1444C22×C4—51no—
1445C22×C4—51no—
1446C22×C4—51no—
1447C22×C4—51no—
1448C22×C4—51no—
1449C22×C4—51no—
1450C22×C4—51no—
1451C22×C4—102no—
1452C22×C4—102no—
1453C22×C4—201no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×C4C23×D511yescharacteristic
1461C22×C4C23×D511yescharacteristic
1462C22×C4C23×D511yescharacteristic
1463C22×C4C23×D511yescharacteristic
1464C22×C4C23×D511yescharacteristic
1465C22×C4C23×D511yescharacteristic
1466C22×C4C23×D511yescharacteristic
1467C22×C4C23×D511yescharacteristic
1468C22×C4C23×D511yescharacteristic
1469C22×C4C23×D511yescharacteristic
1470C22×C4C23×D511yescharacteristic
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—201no—
1477C4⋊C4—201no—
1478C4⋊C4—201no—
1479C4⋊C4—201no—
1480C4⋊C4—201no—
1481C4⋊C4—201no—
1482C4⋊C4—201no—
1483C4⋊C4—201no—
1484C4⋊C4—201no—
1485C4⋊C4—201no—
1486C4⋊C4—201no—
1487C4⋊C4—201no—
1488C4⋊C4—201no—
1489C22⋊C4—22no—
1490C22⋊C4—22no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
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—201no—
1525C22⋊C4—201no—
1526C22⋊C4—201no—
1527C22⋊C4—201no—
1528C22⋊C4—201no—
1529C22⋊C4—201no—
1530C22⋊C4—201no—
1531C22⋊C4—201no—
1532C22⋊C4—201no—
1533C22⋊C4—201no—
1534C22⋊C4—201no—
1535C22⋊C4—201no—
1536C22⋊C4—201no—
1537C22⋊C4—201no—
1538C22⋊C4—201no—
1539C22⋊C4—201no—
1540C22⋊C4—201no—
1541C22⋊C4—201no—
1542C22⋊C4—201no—
1543C22⋊C4—201no—
1544C22⋊C4—201no—
1545C22⋊C4—201no—
1546C22⋊C4—201no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4—201no—
1560C22⋊C4—201no—
1561C22⋊C4—201no—
1562C22⋊C4—201no—
1563C22⋊C4—201no—
1564C22⋊C4—201no—
1565C22⋊C4—201no—
1566C22⋊C4—201no—
1567C42—41no—
1568C42—201no—
1569C42—201no—
1570C42—201no—
1571C42—201no—
1572C42—201no—
1573C2×C5—24no—
1574C2×C5—42no—
1575C2×C5—42no—
1576C2×C5—81no—
1577C2×C5C2×#53811yescharacteristic
1578C2×C5#349011yescharacteristic
1579C2×C5#349011yescharacteristic
1580C2×C5#353211yescharacteristic
1581C2×C5#353211yescharacteristic
1582C2×C5#353211yescharacteristic
1583C2×C5#353211yescharacteristic
1584D5—42no—
1585D5—42no—
1586D5—42no—
1587D5—42no—
1588D5—81no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—28no—
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—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—52no—
1620C23—52no—
1621C23—52no—
1622C23—52no—
1623C23—108no—
1624C23—108no—
1625C23—101no—
1626C23—101no—
1627C23—101no—
1628C23—101no—
1629C23—101no—
1630C23—101no—
1631C23—101no—
1632C23—101no—
1633C23—101no—
1634C23—101no—
1635C23—101no—
1636C23—101no—
1637C23—101no—
1638C23—101no—
1639C23—101no—
1640C23—101no—
1641C23—101no—
1642C23—101no—
1643C23—101no—
1644C23—101no—
1645C23—101no—
1646C23—101no—
1647C23—101no—
1648C23—101no—
1649C23—101no—
1650C23—101no—
1651C23—101no—
1652C23—101no—
1653C23—101no—
1654C23—101no—
1655C23—101no—
1656C23—204no—
1657C23—204no—
1658C23—204no—
1659C23—204no—
1660C23—204no—
1661C23—204no—
1662C23—204no—
1663C23—204no—
1664C23—204no—
1665C23—204no—
1666C23—204no—
1667C23—204no—
1668C23—204no—
1669C23—204no—
1670C23—204no—
1671C23—204no—
1672C23—204no—
1673C23—204no—
1674C23—204no—
1675C23—204no—
1676C23—204no—
1677C23—204no—
1678C23—204no—
1679C23—204no—
1680C23—204no—
1681C23—204no—
1682C23—204no—
1683C23—204no—
1684C23—204no—
1685C23—204no—
1686C23—204no—
1687C23—204no—
1688C23—204no—
1689C23—204no—
1690C23—204no—
1691C23—20128no—
1692C23—204no—
1693C23—204no—
1694C23—204no—
1695C23—204no—
1696C23—204no—
1697C23#414412yes—
1698C23#414412yes—
1699C23D5×#4112yes—
1700C23#414912yes—
1701C23#414912yes—
1702C23C24×D511yescharacteristic
1703Q8—402no—
1704D4—44no—
1705D4—82no—
1706D4—82no—
1707D4—204no—
1708D4—402no—
1709D4—402no—
1710D4—402no—
1711D4—402no—
1712D4—402no—
1713D4—402no—
1714D4—402no—
1715D4—402no—
1716D4—402no—
1717D4—402no—
1718D4—402no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—82no—
1753C2×C4—82no—
1754C2×C4—82no—
1755C2×C4—101no—
1756C2×C4—101no—
1757C2×C4—101no—
1758C2×C4—101no—
1759C2×C4—101no—
1760C2×C4—101no—
1761C2×C4—101no—
1762C2×C4—101no—
1763C2×C4—101no—
1764C2×C4—101no—
1765C2×C4—101no—
1766C2×C4—101no—
1767C2×C4—101no—
1768C2×C4—101no—
1769C2×C4—101no—
1770C2×C4—101no—
1771C2×C4—101no—
1772C2×C4—101no—
1773C2×C4—101no—
1774C2×C4—101no—
1775C2×C4—101no—
1776C2×C4—101no—
1777C2×C4—101no—
1778C2×C4—101no—
1779C2×C4—101no—
1780C2×C4—101no—
1781C2×C4—101no—
1782C2×C4—101no—
1783C2×C4—101no—
1784C2×C4—101no—
1785C2×C4—101no—
1786C2×C4—101no—
1787C2×C4—101no—
1788C2×C4—402no—
1789C2×C4—402no—
1790C2×C4—402no—
1791C5#3672511yescharacteristic, complemented, Sylow
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—416no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—102no—
1821C22—102no—
1822C22—102no—
1823C22—102no—
1824C22—102no—
1825C22—102no—
1826C22—102no—
1827C22—102no—
1828C22—102no—
1829C22—102no—
1830C22—102no—
1831C22—102no—
1832C22—2016no—
1833C22—2016no—
1834C22—2016no—
1835C22—2016no—
1836C22—2016no—
1837C22—2016no—
1838C22—201no—
1839C22—201no—
1840C22—201no—
1841C22—201no—
1842C22—201no—
1843C22—201no—
1844C22—201no—
1845C22—201no—
1846C22—201no—
1847C22—201no—
1848C22—201no—
1849C22—201no—
1850C22—201no—
1851C22—201no—
1852C22—201no—
1853C22—201no—
1854C22—201no—
1855C22—201no—
1856C22—201no—
1857C22—201no—
1858C22—201no—
1859C22—201no—
1860C22—201no—
1861C22#6599114yes—
1862C22C2×#414411yescharacteristic
1863C22C2×#414411yescharacteristic
1864C22C2×D5×#4111yescharacteristic
1865C22C2×#414911yescharacteristic
1866C22C2×#414911yescharacteristic
1867C22D5×H(5,𝔽2)11yescharacteristic
1868C22D5×H(5,𝔽2)11yescharacteristic
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—201no—
1881C4—201no—
1882C4—201no—
1883C4—201no—
1884C4—201no—
1885C4—201no—
1886C4—201no—
1887C4—201no—
1888C4—201no—
1889C4—201no—
1890C4—201no—
1891C2—24no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—202no—
1896C2—202no—
1897C2—202no—
1898C2—202no—
1899C2—401no—
1900C2C2×#6599111yescharacteristic
1901C2#1061794411yescharacteristic
1902C2#1061831511yescharacteristic
1903C2#1061852311yescharacteristic
1904C2#1061856811yescharacteristic
1905C2#1061856811yescharacteristic
1906C2#1061871911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2418C2
hypercenter#2418D5
hypocenterC5#36725
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C5×#2418C2semidirect
2. #10614639C2semidirect
3. #10614638C2semidirect
4. #10614343C2semidirect
5. #10614317C2semidirect
6. #10614138C2semidirect
7. #10614126C2semidirect
8. C2×#65244C2semidirect
9. #10613842C2semidirect
10. #10609851C2semidirect
11. #10609847C2semidirect
12. #10609435C2semidirect
13. #10609422C2semidirect
14. #10608875C2semidirect
15. #10608873C2semidirect
16. #10608868C2semidirect
17. #10608860C2semidirect
18. #10607667C2semidirect
19. #10607664C2semidirect
20. #10607654C2semidirect
21. #10607649C2semidirect
22. #10606650C2semidirect
23. #10606641C2semidirect
24. #10606636C2semidirect
25. #10606459C2semidirect
26. #10606323C2semidirect
27. #10606183C2semidirect
28. #10605752C2semidirect
29. #10605683C2semidirect
30. #10605592C2semidirect
31. #10605561C2semidirect
33. C2×C5×#123C22semidirect
35. C2×C4×C5×D4C22semidirect
39. C2×#4085C22semidirect
40. C2×#4084C22semidirect
47. C2×#4076C22semidirect
52. C2×#4070C22semidirect
53. C2×#4044C22semidirect
54. C2×#4040C22semidirect
55. C2×#4031C22semidirect
56. C2×#4031C22semidirect
63. C2×#4027C22semidirect
64. C2×#4025C22semidirect
65. C5×#399C22semidirect
66. C5×#397C22semidirect
67. C5×#394C22semidirect
68. C5×#394C22semidirect
69. C5×#388C22semidirect
70. C5×#388C22semidirect
71. C5×#386C22semidirect
72. C5×#386C22semidirect
73. C5×#385C22semidirect
74. C5×#380C22semidirect
77. #65512C22semidirect
78. #65511C22semidirect
79. #65510C22semidirect
80. #65509C22semidirect
81. #65502C22semidirect
82. #65502C22semidirect
83. #65502C22semidirect
84. #65502C22semidirect
85. #65502C22semidirect
86. C4×C22⋊Dic5C22semidirect
87. #65283C22semidirect
88. #65283C22semidirect
89. #65283C22semidirect
90. #65283C22semidirect
91. #65283C22semidirect
92. #65283C22semidirect
93. #65282C22semidirect
94. #65281C22semidirect
95. #65280C22semidirect
96. #65280C22semidirect
97. #65279C22semidirect
98. #65279C22semidirect
99. #65279C22semidirect
100. #65279C22semidirect
101. #65279C22semidirect
102. #65279C22semidirect
103. #65277C22semidirect
104. #65277C22semidirect
105. #65250C22semidirect
106. #65250C22semidirect
107. #65250C22semidirect
108. #65250C22semidirect
109. #65249C22semidirect
110. #65249C22semidirect
111. #65249C22semidirect
112. #65248C22semidirect
113. #65248C22semidirect
114. #65248C22semidirect
115. #65248C22semidirect
116. #65246C22semidirect
117. #65246C22semidirect
118. #65246C22semidirect
119. #65246C22semidirect
120. #65245C22semidirect
141. #65242C22semidirect
142. #65241C22semidirect
143. #65241C22semidirect
144. #65241C22semidirect
145. #65240C22semidirect
146. #65240C22semidirect
147. #65239C22semidirect
148. #65239C22semidirect
149. #65237C22semidirect
150. #65237C22semidirect
151. #65236C22semidirect
152. #65235C22semidirect
153. #65234C22semidirect
154. #65233C22semidirect
155. #65233C22semidirect
156. #65233C22semidirect
157. #65231C22semidirect
158. C22⋊C4×Dic5C22semidirect
159. #65229C22semidirect
160. #65229C22semidirect
161. #65229C22semidirect
162. #65228C22semidirect
163. #64966C22semidirect
164. #64966C22semidirect
165. #64964C22semidirect
166. #64964C22semidirect
167. #64964C22semidirect
168. #64964C22semidirect
169. #64964C22semidirect
170. #64963C22semidirect
171. #64962C22semidirect
172. #64962C22semidirect
173. #64962C22semidirect
174. #64961C22semidirect
175. #64961C22semidirect
176. #64961C22semidirect
177. #64959C22semidirect
178. #64959C22semidirect
179. #64958C22semidirect
180. #64958C22semidirect
181. #64958C22semidirect
182. #64958C22semidirect
183. #64958C22semidirect
184. #64954C22semidirect
185. #64954C22semidirect
186. #64954C22semidirect
207. C23×C4×C5C23semidirect
215. C22×C22⋊D5C23semidirect
222. C22×C4×D5C23semidirect
223. C22×Dic10C23semidirect
227. C2×C5×C4⋊C4C23semidirect
228. C2×C5×C4⋊C4C23semidirect
229. C2×C5×C4⋊C4C23semidirect
230. C2×C5×C4⋊C4C23semidirect
231. C2×C5×C4⋊C4C23semidirect
246. C2×C5×C22⋊C4C23semidirect
247. C2×C5×C22⋊C4C23semidirect
248. C2×C5×C22⋊C4C23semidirect
249. C2×C42×C5C23semidirect
265. C2×C22⋊Dic5C23semidirect
266. C2×C22⋊Dic5C23semidirect
267. C2×C22⋊Dic5C23semidirect
321. C2×#685C23semidirect
322. C2×#685C23semidirect
323. C2×#685C23semidirect
324. C2×#685C23semidirect
325. C2×#685C23semidirect
326. C2×#685C23semidirect
327. C2×C4⋊Dic5C23semidirect
328. C2×C4⋊Dic5C23semidirect
329. C2×C4⋊Dic5C23semidirect
330. C2×C4⋊Dic5C23semidirect
331. C2×C4⋊Dic5C23semidirect
333. C2×#683C23semidirect
334. C2×#683C23semidirect
335. C2×#683C23semidirect
336. C2×#683C23semidirect
337. C2×#683C23semidirect
338. C2×#683C23semidirect
339. C2×#683C23semidirect
340. C2×#683C23semidirect
341. C2×C4×Dic5C23semidirect
342. C2×C4×Dic5C23semidirect
343. C2×C4×Dic5C23semidirect
344. C2×C4×Dic5C23semidirect
345. C2×C4×Dic5C23semidirect
358. C5×#95C23semidirect
359. C5×#95C23semidirect
360. C5×#95C23semidirect
361. C5×#95C23semidirect
362. C5×#95C23semidirect
363. C5×#95C23semidirect
364. #3963C23semidirect
365. #3963C23semidirect
366. #3963C23semidirect
367. #3963C23semidirect
368. #3963C23semidirect
369. #3963C23semidirect
370. #3963C23semidirect
371. #3963C23semidirect
372. #3963C23semidirect
373. #3963C23semidirect
374. #3963C23semidirect
375. #3963C23semidirect
376. #3963C23semidirect
377. #3963C23semidirect
378. #3963C23semidirect
379. #3963C23semidirect
380. #3963C23semidirect
381. #3963C23semidirect
409. #2418D5semidirect
674. C2×#123C2×D5semidirect
694. C2×C4×D4C2×D5semidirect
704. #399C2×D5semidirect
716. #397C2×D5semidirect
739. #394C2×D5semidirect
740. #394C2×D5semidirect
779. #388C2×D5semidirect
780. #388C2×D5semidirect
791. #386C2×D5semidirect
792. #386C2×D5semidirect
796. #385C2×D5semidirect
798. #380C2×D5semidirect
1060. C23×C4C22×D5semidirect
1100. C2×C4⋊C4C22×D5semidirect
1101. C2×C4⋊C4C22×D5semidirect
1102. C2×C4⋊C4C22×D5semidirect
1103. C2×C4⋊C4C22×D5semidirect
1104. C2×C4⋊C4C22×D5semidirect
1186. C2×C22⋊C4C22×D5semidirect
1187. C2×C22⋊C4C22×D5semidirect
1188. C2×C22⋊C4C22×D5semidirect
1194. C2×C42C22×D5semidirect
1213. #95C22×D5semidirect
1214. #95C22×D5semidirect
1215. #95C22×D5semidirect
1216. #95C22×D5semidirect
1217. #95C22×D5semidirect
1218. #95C22×D5semidirect
1791. C5#36725semidirect

Maximal subgroups

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

subgroupindex
C5×#24182
#106146392
#106146382
#106143432
#106143172
#106141382
#106141262
C2×#652442
#106138422
#106098512
#106098472
#106094352
#106094222
#106088752
#106088732
#106088682
#106088602
#106076672
#106076642
#106076542
#106076492
#106066502
#106066412
#106066362
#106064592
#106063232
#106061832
#106057522
#106056832
#106055922
#106055612
#367255