Finite Group Databasebeta

← #12306406

Subgroups — #12306406

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×#2685C211yesmaximal, characteristic, complemented
2#10614845C211yesmaximal, characteristic, complemented
3#10614812C211yesmaximal, characteristic, complemented
4#10614343C211yesmaximal, characteristic, complemented
5#10614327C211yesmaximal, characteristic, complemented
6#10609847C211yesmaximal, characteristic, complemented
7#10609841C211yesmaximal, characteristic, complemented
8#10609168C211yesmaximal, characteristic, complemented
9#10609034C211yesmaximal, characteristic, complemented
10#10608874C211yesmaximal, characteristic, complemented
11#10608871C211yesmaximal, characteristic, complemented
12#10608860C211yesmaximal, characteristic, complemented
13#10608858C211yesmaximal, characteristic, complemented
14#10608854C211yesmaximal, characteristic, complemented
15#10608845C211yesmaximal, characteristic, complemented
16#10608842C211yesmaximal, characteristic, complemented
17#10608656C211yesmaximal, characteristic, complemented
18#10608200C211yesmaximal, characteristic, complemented
19#10608193C211yesmaximal, characteristic, complemented
20#10608173C211yesmaximal, characteristic, complemented
21#10608160C211yesmaximal, characteristic, complemented
22#10607667C211yesmaximal, characteristic, complemented
23#10607665C211yesmaximal, characteristic, complemented
24#10607665C211yesmaximal, characteristic, complemented
25#10607576C211yesmaximal, characteristic, complemented
26#10607558C211yesmaximal, characteristic, complemented
27#10607258C211yesmaximal, characteristic, complemented
28#10605592C211yesmaximal, characteristic, complemented
29#10605590C211yesmaximal, characteristic, complemented
30D5×#379C211yesmaximal, characteristic, complemented
31#10605572C211yesmaximal, characteristic, complemented
32C25×D5C2211yescharacteristic
33C2×C5×#126C2211yescharacteristic, complemented
34C2×C5×#120C2211yescharacteristic
35C2×#4099C2211yescharacteristic
36C2×#4085C2211yescharacteristic, complemented
37C2×#4083C2211yescharacteristic
38C2×#4083C2211yescharacteristic
39C2×#4083C2211yescharacteristic
40C2×#4083C2211yescharacteristic
41C2×#4083C2211yescharacteristic
42C2×#4083C2211yescharacteristic
43C2×#4081C2211yescharacteristic, complemented
44C2×#4044C2211yescharacteristic, complemented
45C2×#4043C2211yescharacteristic, complemented
46C2×#4040C2211yescharacteristic, complemented
47C2×#4031C2211yescharacteristic, complemented
48C2×#4031C2211yescharacteristic, complemented
49C2×#4030C2211yescharacteristic, complemented
50C2×#4030C2211yescharacteristic, complemented
51C2×#4028C2211yescharacteristic
52C2×#4028C2211yescharacteristic
53C2×#4028C2211yescharacteristic
54C2×#4028C2211yescharacteristic
55C2×#4028C2211yescharacteristic
56C2×#4028C2211yescharacteristic
57C2×#4027C2211yescharacteristic, complemented
58C2×D5×C22⋊C4C2211yescharacteristic
59C2×D5×C22⋊C4C2211yescharacteristic
60C2×D5×C22⋊C4C2211yescharacteristic
61C2×D5×C22⋊C4C2211yescharacteristic
62C2×D5×C22⋊C4C2211yescharacteristic
63C2×D5×C22⋊C4C2211yescharacteristic
64C2×C4×D20C2211yescharacteristic, complemented
65C5×#399C2211yescharacteristic, complemented
66C5×#396C2211yescharacteristic, complemented
67C5×#394C2211yescharacteristic, complemented
68C5×#394C2211yescharacteristic, complemented
69C5×#394C2211yescharacteristic, complemented
70C5×#394C2211yescharacteristic, complemented
71C5×#390C2211yescharacteristic, complemented
72C5×#390C2211yescharacteristic, complemented
73C5×#388C2211yescharacteristic, complemented
74C5×#388C2211yescharacteristic, complemented
75C5×#388C2211yescharacteristic, complemented
76C5×#379C2211yescharacteristic
77C5×#379C2211yescharacteristic
78#65536C2211yescharacteristic
79#65536C2211yescharacteristic
80#65512C2211yescharacteristic, complemented
81#65512C2211yescharacteristic, complemented
82#65510C2211yescharacteristic, complemented
83#65509C2211yescharacteristic, complemented
84#65283C2211yescharacteristic, complemented
85#65283C2211yescharacteristic, complemented
86#65283C2211yescharacteristic, complemented
87#65282C2211yescharacteristic, complemented
88#65282C2211yescharacteristic, complemented
89#65281C2211yescharacteristic, complemented
90#65281C2211yescharacteristic, complemented
91#65280C2211yescharacteristic, complemented
92#65280C2211yescharacteristic, complemented
93#65280C2211yescharacteristic, complemented
94#65279C2211yescharacteristic, complemented
95#65279C2211yescharacteristic, complemented
96#65279C2211yescharacteristic, complemented
97#65279C2211yescharacteristic, complemented
98#65278C2211yescharacteristic, complemented
99#65278C2211yescharacteristic, complemented
100#65278C2211yescharacteristic, complemented
101#65278C2211yescharacteristic, complemented
102#65277C2211yescharacteristic, complemented
103#65277C2211yescharacteristic, complemented
104#65276C2211yescharacteristic, complemented
105#65250C2211yescharacteristic, complemented
106#65250C2211yescharacteristic, complemented
107#65250C2211yescharacteristic, complemented
108#65250C2211yescharacteristic, complemented
109#65250C2211yescharacteristic, complemented
110#65249C2211yescharacteristic, complemented
111#65249C2211yescharacteristic, complemented
112#65248C2211yescharacteristic, complemented
113#65248C2211yescharacteristic, complemented
114#65248C2211yescharacteristic, complemented
115#65247C2211yescharacteristic, complemented
116#65247C2211yescharacteristic, complemented
117#65247C2211yescharacteristic, complemented
118#65246C2211yescharacteristic, complemented
119#65246C2211yescharacteristic, complemented
120#65245C2211yescharacteristic, complemented
121#65245C2211yescharacteristic, complemented
122#65245C2211yescharacteristic, complemented
123#65245C2211yescharacteristic, complemented
124#65245C2211yescharacteristic, complemented
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#65244C2211yescharacteristic
142#65244C2211yescharacteristic
143#65242C2211yescharacteristic, complemented
144#65242C2211yescharacteristic, complemented
145#65241C2211yescharacteristic, complemented
146#65241C2211yescharacteristic, complemented
147#65241C2211yescharacteristic, complemented
148#65241C2211yescharacteristic, complemented
149#65240C2211yescharacteristic, complemented
150#65240C2211yescharacteristic, complemented
151#65240C2211yescharacteristic, complemented
152#65238C2211yescharacteristic, complemented
153#65237C2211yescharacteristic, complemented
154#65237C2211yescharacteristic, complemented
155#65237C2211yescharacteristic, complemented
156#65236C2211yescharacteristic, complemented
157#65236C2211yescharacteristic, complemented
158#65234C2211yescharacteristic, complemented
159#65234C2211yescharacteristic, complemented
160#65234C2211yescharacteristic, complemented
161#65234C2211yescharacteristic, complemented
162#65233C2211yescharacteristic, complemented
163#65233C2211yescharacteristic, complemented
164#65229C2211yescharacteristic, complemented
165#65229C2211yescharacteristic, complemented
166#65229C2211yescharacteristic, complemented
167#65229C2211yescharacteristic, complemented
168#65229C2211yescharacteristic, complemented
169#65228C2211yescharacteristic, complemented
170C4×#685C2211yescharacteristic, complemented
171#64965C2211yescharacteristic, complemented
172#64964C2211yescharacteristic, complemented
173#64964C2211yescharacteristic, complemented
174#64963C2211yescharacteristic, complemented
175#64963C2211yescharacteristic, complemented
176#64962C2211yescharacteristic, complemented
177#64962C2211yescharacteristic, complemented
178#64961C2211yescharacteristic, complemented
179#64959C2211yescharacteristic, complemented
180#64959C2211yescharacteristic, complemented
181#64958C2211yescharacteristic, complemented
182#64956C2211yescharacteristic, complemented
183#64955C2211yescharacteristic, 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
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C22×C22⋊D5C2311yescharacteristic
212C22×C22⋊D5C2311yescharacteristic, complemented
213C23×Dic5C2311yescharacteristic, complemented
214C22×D20C2311yescharacteristic
215C22×D20C2311yescharacteristic
216C22×D20C2311yescharacteristic
217C22×D20C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic, complemented
223C22×Dic10C2311yescharacteristic, complemented
224C5×#126—42no—
225C5×#120—42no—
226C2×C5×C4⋊C4C2311yescharacteristic, complemented
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⋊C4C2311yescharacteristic
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
247C2×C5×C22⋊C4C2311yescharacteristic, complemented
248C2×C5×C22⋊C4C2311yescharacteristic, complemented
249C2×C5×C22⋊C4C2311yescharacteristic, complemented
250C2×C5×C22⋊C4C2311yescharacteristic, complemented
251C2×C42×C5C2311yescharacteristic, complemented
252C2×C42×C5C2311yescharacteristic, complemented
253#4099—42no—
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, complemented
270C2×C22⋊Dic5C2311yescharacteristic, complemented
271#4085—42no—
272#4083—24no—
273#4083—42no—
274#4083—42no—
275#4083—42no—
276#4083—42no—
277#4083—42no—
278#4081—42no—
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×#685C2311yescharacteristic
285C2×#685C2311yescharacteristic
286C2×#685C2311yescharacteristic
287C2×#685C2311yescharacteristic
288C2×#685C2311yescharacteristic
289C2×#685C2311yescharacteristic
290C2×#685C2311yescharacteristic
291C2×#685C2311yescharacteristic
292C2×#685C2311yescharacteristic
293C2×#685C2311yescharacteristic
294C2×#685C2311yescharacteristic
295C2×#685C2311yescharacteristic
296C2×#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, complemented
316C2×#685C2311yescharacteristic, complemented
317C2×#685C2311yescharacteristic, complemented
318C2×#685C2311yescharacteristic, complemented
319C2×#685C2311yescharacteristic, complemented
320C2×#685C2311yescharacteristic, complemented
321C2×C4⋊Dic5C2311yescharacteristic, complemented
322C2×C4⋊Dic5C2311yescharacteristic, complemented
323C2×C4⋊Dic5C2311yescharacteristic, complemented
324C2×C4⋊Dic5C2311yescharacteristic, complemented
325C2×#683C2311yescharacteristic, complemented
326C2×#683C2311yescharacteristic, complemented
327C2×#683C2311yescharacteristic, complemented
328C2×#683C2311yescharacteristic, complemented
329C2×#683C2311yescharacteristic, complemented
330C2×#683C2311yescharacteristic, complemented
331C2×#683C2311yescharacteristic, complemented
332C2×#683C2311yescharacteristic, complemented
333C2×C4×Dic5C2311yescharacteristic, complemented
334C2×C4×Dic5C2311yescharacteristic, complemented
335C2×C4×Dic5C2311yescharacteristic, complemented
336C2×C4×Dic5C2311yescharacteristic, complemented
337#4044—42no—
338#4043—42no—
339#4040—42no—
340#4031—42no—
341#4031—42no—
342#4030—42no—
343#4030—42no—
344#4028—24no—
345#4028—42no—
346#4028—42no—
347#4028—42no—
348#4028—42no—
349#4028—42no—
350#4027—42no—
351D5×C22⋊C4—42no—
352D5×C22⋊C4—42no—
353D5×C22⋊C4—42no—
354D5×C22⋊C4—42no—
355D5×C22⋊C4—42no—
356D5×C22⋊C4—42no—
357C4×D20—42no—
358C5×#95C2311yescharacteristic, complemented
359C5×#95C2311yescharacteristic, complemented
360C5×#95C2311yescharacteristic, complemented
361C5×#95C2311yescharacteristic, complemented
362#3963C2311yescharacteristic, complemented
363#3963C2311yescharacteristic, 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#2685D511yescharacteristic, complemented
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#2418—51no—
410#2321—51no—
411#2321—51no—
412C2×#379—51no—
413C24×C5—22no—
414C24×C5—22no—
415C24×C5—22no—
416C24×C5—41no—
417C24×C5—41no—
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—22no—
444C23×D5—22no—
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—41no—
482C2×C5×D4—41no—
483C2×C5×D4—41no—
484C2×C5×D4—41no—
485C2×C5×D4—41no—
486C2×C5×D4—41no—
487C22×C4×C5C2411yescharacteristic
488C22×C4×C5C2411yescharacteristic
489C22×C4×C5C2411yescharacteristic
490C22×C4×C5C2411yescharacteristic
491C22×C4×C5C2411yescharacteristic
492C22×C4×C5C2411yescharacteristic
493C22×C4×C5C2411yescharacteristic
494C22×C4×C5C2411yescharacteristic
495C22×C4×C5C2411yescharacteristic
496C22×C4×C5C2411yescharacteristic
497C22×C4×C5C2411yescharacteristic
498C2×C22⋊D5—22no—
499C2×C22⋊D5—22no—
500C2×C22⋊D5—22no—
501C2×C22⋊D5—22no—
502C2×C22⋊D5—22no—
503C2×C22⋊D5—22no—
504C2×C22⋊D5—22no—
505C2×C22⋊D5—22no—
506C2×C22⋊D5—22no—
507C2×C22⋊D5—41no—
508C2×C22⋊D5—41no—
509C2×C22⋊D5—41no—
510C2×C22⋊D5—41no—
511C2×C22⋊D5—41no—
512C2×C22⋊D5—41no—
513C2×C22⋊D5—41no—
514C2×C22⋊D5—41no—
515C2×C22⋊D5—41no—
516C2×C22⋊D5—41no—
517C2×C22⋊D5—41no—
518C2×C22⋊D5—41no—
519C2×C22⋊D5—41no—
520C2×C22⋊D5—41no—
521C2×C22⋊D5—41no—
522C22×Dic5—41no—
523C22×Dic5—41no—
524C22×Dic5—41no—
525C22×Dic5C2411yescharacteristic
526C22×Dic5C2411yescharacteristic
527C22×Dic5C2411yescharacteristic
528C22×Dic5C2411yescharacteristic
529C22×Dic5C2411yescharacteristic
530C22×Dic5C2411yescharacteristic
531C22×Dic5C2411yescharacteristic
532C22×Dic5C2411yescharacteristic
533C22×Dic5C2411yescharacteristic
534C22×Dic5C2411yescharacteristic
535C22×Dic5C2411yescharacteristic
536C2×D20—22no—
537C2×D20—22no—
538C2×D20—22no—
539C2×D20—22no—
540C2×D20—22no—
541C2×D20—22no—
542C2×D20—41no—
543C2×D20—41no—
544C2×D20—41no—
545C2×D20—41no—
546C2×D20—41no—
547C2×D20—41no—
548C2×C4×D5—22no—
549C2×C4×D5—22no—
550C2×C4×D5—22no—
551C2×C4×D5—22no—
552C2×C4×D5—41no—
553C2×C4×D5—41no—
554C2×C4×D5—41no—
555C2×C4×D5—41no—
556C2×C4×D5—41no—
557C2×C4×D5—41no—
558C2×C4×D5—41no—
559C2×C4×D5—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×C4⋊C4—41no—
572C5×C22⋊C4—22no—
573C5×C22⋊C4—22no—
574C5×C22⋊C4—22no—
575C5×C22⋊C4—22no—
576C5×C22⋊C4—22no—
577C5×C22⋊C4—41no—
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—
587C5×C22⋊C4—41no—
588C5×C22⋊C4—41no—
589C5×C22⋊C4—41no—
590C5×C22⋊C4—41no—
591C42×C5—41no—
592C42×C5—41no—
593C22⋊Dic5—22no—
594C22⋊Dic5—22no—
595C22⋊Dic5—22no—
596C22⋊Dic5—22no—
597C22⋊Dic5—22no—
598C22⋊Dic5—41no—
599C22⋊Dic5—41no—
600C22⋊Dic5—41no—
601C22⋊Dic5—41no—
602C22⋊Dic5—41no—
603C22⋊Dic5—41no—
604C22⋊Dic5—41no—
605C22⋊Dic5—41no—
606C22⋊Dic5—41no—
607C22⋊Dic5—41no—
608C22⋊Dic5—41no—
609C22⋊Dic5—41no—
610#685—22no—
611#685—22no—
612#685—22no—
613#685—22no—
614#685—22no—
615#685—22no—
616#685—22no—
617#685—22no—
618#685—22no—
619#685—22no—
620#685—22no—
621#685—22no—
622#685—22no—
623#685—22no—
624#685—22no—
625#685—22no—
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—
650#685—41no—
651#685—41no—
652C4⋊Dic5—41no—
653C4⋊Dic5—41no—
654C4⋊Dic5—41no—
655C4⋊Dic5—41no—
656#683—41no—
657#683—41no—
658#683—41no—
659#683—41no—
660#683—41no—
661#683—41no—
662#683—41no—
663#683—41no—
664C4×Dic5—41no—
665C4×Dic5—41no—
666C4×Dic5—41no—
667C4×Dic5—41no—
668C26—51no—
669C2×#126—51no—
670C2×#126C2×D511yescharacteristic, complemented
671C2×#124—51no—
672C2×#124—51no—
673C2×#123—51no—
674C2×#123—51no—
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×D4—51no—
695C22×C22⋊C4—51no—
696C22×C22⋊C4—51no—
697C22×C22⋊C4—51no—
698C22×C22⋊C4—51no—
699C22×C22⋊C4—51no—
700C22×C22⋊C4—51no—
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#397—51no—
717#396—51no—
718#396—51no—
719#396—51no—
720#396—51no—
721#396—51no—
722#396—51no—
723#396—51no—
724#396C2×D511yescharacteristic, complemented
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#394C2×D511yescharacteristic, complemented
738#394C2×D511yescharacteristic, complemented
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#390C2×D511yescharacteristic, complemented
756#390C2×D511yescharacteristic, complemented
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#388C2×D511yescharacteristic, complemented
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#386—51no—
792#386—51no—
793#385—51no—
794#385—51no—
795#385—51no—
796#385—51no—
797#380—51no—
798#380—51no—
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#379C2×D511yescharacteristic
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—21no—
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—21no—
848C23×C5—44no—
849C23×C5—44no—
850C23×C5—44no—
851C23×C5—44no—
852C23×C5—44no—
853C23×C5—44no—
854C23×C5—44no—
855C23×C5C2×#4112yes—
856C23×C5H(5,𝔽2)12yes—
857C23×C5H(5,𝔽2)12yes—
858C23×C5C2511yescharacteristic
859C22×D5—21no—
860C22×D5—21no—
861C22×D5—21no—
862C22×D5—21no—
863C22×D5—28no—
864C22×D5—28no—
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—28no—
884C22×D5—21no—
885C22×D5—21no—
886C22×D5—21no—
887C22×D5—21no—
888C22×D5—21no—
889C22×D5—21no—
890C22×D5—21no—
891C22×D5—44no—
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—4128no—
926C22×D5—44no—
927C22×D5—44no—
928C22×D5—44no—
929C22×D5—44no—
930C22×D5—44no—
931C22×D5C2×#4112yes—
932C22×D5C2×#4112yes—
933C22×D5H(5,𝔽2)12yes—
934C22×D5H(5,𝔽2)12yes—
935C22×D5H(5,𝔽2)12yes—
936C22×D5H(5,𝔽2)12yes—
937C5×D4—82no—
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—
973C22⋊D5—44no—
974C22⋊D5—82no—
975C22⋊D5—82no—
976C22⋊D5—82no—
977C22⋊D5—82no—
978C22⋊D5—82no—
979C22⋊D5—82no—
980C22⋊D5—82no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—21no—
1001C2×Dic5—21no—
1002C2×Dic5—21no—
1003C2×Dic5—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—82no—
1015D20—44no—
1016D20—82no—
1017D20—82no—
1018D20—82no—
1019C4×D5—82no—
1020C4×D5—82no—
1021C4×D5—82no—
1022C4×D5—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×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061#126—42no—
1062#126—202no—
1063#124—202no—
1064#124—202no—
1065#123—202no—
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—202no—
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⋊C4C22×D511yescharacteristic, complemented
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—51no—
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—202no—
1165C2×C22⋊C4—202no—
1166C2×C22⋊C4—202no—
1167C2×C22⋊C4—202no—
1168C2×C22⋊C4—202no—
1169C2×C22⋊C4—202no—
1170C2×C22⋊C4C22×D511yescharacteristic
1171C2×C22⋊C4C22×D511yescharacteristic
1172C2×C22⋊C4C22×D511yescharacteristic
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, complemented
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×C42C22×D511yescharacteristic, complemented
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#95—51no—
1214#95—51no—
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—416no—
1229C22×C5—41no—
1230C22×C5—41no—
1231C22×C5—41no—
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—41no—
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—22no—
1268C2×D5—22no—
1269C2×D5—22no—
1270C2×D5—416no—
1271C2×D5—416no—
1272C2×D5—416no—
1273C2×D5—416no—
1274C2×D5—416no—
1275C2×D5—416no—
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#53814yes—
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—41no—
1322C24—41no—
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—102no—
1351C24—102no—
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—41no—
1390C2×D4—41no—
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—102no—
1409C2×D4—102no—
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—51no—
1432C22×C4—51no—
1433C22×C4—51no—
1434C22×C4—51no—
1435C22×C4—51no—
1436C22×C4—51no—
1437C22×C4—51no—
1438C22×C4—51no—
1439C22×C4—51no—
1440C22×C4—51no—
1441C22×C4—51no—
1442C22×C4—102no—
1443C22×C4—102no—
1444C22×C4—102no—
1445C22×C4—102no—
1446C22×C4—201no—
1447C22×C4—201no—
1448C22×C4—201no—
1449C22×C4—201no—
1450C22×C4—201no—
1451C22×C4—201no—
1452C22×C4—201no—
1453C22×C4—201no—
1454C22×C4—201no—
1455C22×C4—201no—
1456C22×C4—201no—
1457C22×C4—201no—
1458C22×C4—201no—
1459C22×C4—201no—
1460C22×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—41no—
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—41no—
1495C22⋊C4—41no—
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—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—102no—
1509C22⋊C4—102no—
1510C22⋊C4—102no—
1511C22⋊C4—102no—
1512C22⋊C4—102no—
1513C22⋊C4—102no—
1514C22⋊C4—102no—
1515C22⋊C4—102no—
1516C22⋊C4—102no—
1517C22⋊C4—102no—
1518C22⋊C4—102no—
1519C22⋊C4—102no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—102no—
1527C22⋊C4—102no—
1528C22⋊C4—102no—
1529C22⋊C4—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—41no—
1569C42—201no—
1570C42—201no—
1571C42—201no—
1572C42—201no—
1573C2×C5—42no—
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—24no—
1585D5—42no—
1586D5—42no—
1587D5—42no—
1588D5—81no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—52no—
1622C23—52no—
1623C23—52no—
1624C23—52no—
1625C23—52no—
1626C23—52no—
1627C23—108no—
1628C23—108no—
1629C23—108no—
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—101no—
1657C23—101no—
1658C23—101no—
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—204no—
1692C23—204no—
1693C23—204no—
1694C23—204no—
1695C23—20128no—
1696C23—204no—
1697C23—204no—
1698C23—204no—
1699C23#414412yes—
1700C23D5×#4112yes—
1701C23#414912yes—
1702C23C24×D511yescharacteristic
1703Q8—402no—
1704D4—82no—
1705D4—82no—
1706D4—82no—
1707D4—204no—
1708D4—204no—
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—101no—
1753C2×C4—101no—
1754C2×C4—101no—
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—402no—
1786C2×C4—402no—
1787C2×C4—402no—
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—416no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
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—41no—
1821C22—54no—
1822C22—102no—
1823C22—102no—
1824C22—102no—
1825C22—102no—
1826C22—102no—
1827C22—102no—
1828C22—102no—
1829C22—102no—
1830C22—102no—
1831C22—102no—
1832C22—102no—
1833C22—102no—
1834C22—102no—
1835C22—102no—
1836C22—102no—
1837C22—2016no—
1838C22—2016no—
1839C22—2016no—
1840C22—2016no—
1841C22—2016no—
1842C22—2016no—
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—201no—
1862C22C2×#414411yescharacteristic
1863C22C2×D5×#4111yescharacteristic
1864C22C2×#414911yescharacteristic
1865C22D5×H(5,𝔽2)11yescharacteristic
1866C22D5×H(5,𝔽2)11yescharacteristic
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—42no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—104no—
1896C2—202no—
1897C2—202no—
1898C2—202no—
1899C2—401no—
1900C2#1061823411yescharacteristic
1901C2D5×#53811yescharacteristic
1902C2#1061831911yescharacteristic
1903C2#1061856511yescharacteristic
1904C2#1061856811yescharacteristic
1905C2#1061871611yescharacteristic
1906C2#1061898111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2685C2
hypercenter#2685D5
hypocenterC5#36725
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C5×#2685C2semidirect
2. #10614845C2semidirect
3. #10614812C2semidirect
4. #10614343C2semidirect
5. #10614327C2semidirect
6. #10609847C2semidirect
7. #10609841C2semidirect
8. #10609168C2semidirect
9. #10609034C2semidirect
10. #10608874C2semidirect
11. #10608871C2semidirect
12. #10608860C2semidirect
13. #10608858C2semidirect
14. #10608854C2semidirect
15. #10608845C2semidirect
16. #10608842C2semidirect
17. #10608656C2semidirect
18. #10608200C2semidirect
19. #10608193C2semidirect
20. #10608173C2semidirect
21. #10608160C2semidirect
22. #10607667C2semidirect
23. #10607665C2semidirect
24. #10607665C2semidirect
25. #10607576C2semidirect
26. #10607558C2semidirect
27. #10607258C2semidirect
28. #10605592C2semidirect
29. #10605590C2semidirect
30. D5×#379C2semidirect
31. #10605572C2semidirect
33. C2×C5×#126C22semidirect
36. C2×#4085C22semidirect
43. C2×#4081C22semidirect
44. C2×#4044C22semidirect
45. C2×#4043C22semidirect
46. C2×#4040C22semidirect
47. C2×#4031C22semidirect
48. C2×#4031C22semidirect
49. C2×#4030C22semidirect
50. C2×#4030C22semidirect
57. C2×#4027C22semidirect
64. C2×C4×D20C22semidirect
65. C5×#399C22semidirect
66. C5×#396C22semidirect
67. C5×#394C22semidirect
68. C5×#394C22semidirect
69. C5×#394C22semidirect
70. C5×#394C22semidirect
71. C5×#390C22semidirect
72. C5×#390C22semidirect
73. C5×#388C22semidirect
74. C5×#388C22semidirect
75. C5×#388C22semidirect
80. #65512C22semidirect
81. #65512C22semidirect
82. #65510C22semidirect
83. #65509C22semidirect
84. #65283C22semidirect
85. #65283C22semidirect
86. #65283C22semidirect
87. #65282C22semidirect
88. #65282C22semidirect
89. #65281C22semidirect
90. #65281C22semidirect
91. #65280C22semidirect
92. #65280C22semidirect
93. #65280C22semidirect
94. #65279C22semidirect
95. #65279C22semidirect
96. #65279C22semidirect
97. #65279C22semidirect
98. #65278C22semidirect
99. #65278C22semidirect
100. #65278C22semidirect
101. #65278C22semidirect
102. #65277C22semidirect
103. #65277C22semidirect
104. #65276C22semidirect
105. #65250C22semidirect
106. #65250C22semidirect
107. #65250C22semidirect
108. #65250C22semidirect
109. #65250C22semidirect
110. #65249C22semidirect
111. #65249C22semidirect
112. #65248C22semidirect
113. #65248C22semidirect
114. #65248C22semidirect
115. #65247C22semidirect
116. #65247C22semidirect
117. #65247C22semidirect
118. #65246C22semidirect
119. #65246C22semidirect
120. #65245C22semidirect
121. #65245C22semidirect
122. #65245C22semidirect
123. #65245C22semidirect
124. #65245C22semidirect
143. #65242C22semidirect
144. #65242C22semidirect
145. #65241C22semidirect
146. #65241C22semidirect
147. #65241C22semidirect
148. #65241C22semidirect
149. #65240C22semidirect
150. #65240C22semidirect
151. #65240C22semidirect
152. #65238C22semidirect
153. #65237C22semidirect
154. #65237C22semidirect
155. #65237C22semidirect
156. #65236C22semidirect
157. #65236C22semidirect
158. #65234C22semidirect
159. #65234C22semidirect
160. #65234C22semidirect
161. #65234C22semidirect
162. #65233C22semidirect
163. #65233C22semidirect
164. #65229C22semidirect
165. #65229C22semidirect
166. #65229C22semidirect
167. #65229C22semidirect
168. #65229C22semidirect
169. #65228C22semidirect
170. C4×#685C22semidirect
171. #64965C22semidirect
172. #64964C22semidirect
173. #64964C22semidirect
174. #64963C22semidirect
175. #64963C22semidirect
176. #64962C22semidirect
177. #64962C22semidirect
178. #64961C22semidirect
179. #64959C22semidirect
180. #64959C22semidirect
181. #64958C22semidirect
182. #64956C22semidirect
183. #64955C22semidirect
184. #64954C22semidirect
185. #64954C22semidirect
186. #64954C22semidirect
212. C22×C22⋊D5C23semidirect
213. C23×Dic5C23semidirect
222. C22×C4×D5C23semidirect
223. C22×Dic10C23semidirect
226. C2×C5×C4⋊C4C23semidirect
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
247. C2×C5×C22⋊C4C23semidirect
248. C2×C5×C22⋊C4C23semidirect
249. C2×C5×C22⋊C4C23semidirect
250. C2×C5×C22⋊C4C23semidirect
251. C2×C42×C5C23semidirect
252. C2×C42×C5C23semidirect
269. C2×C22⋊Dic5C23semidirect
270. C2×C22⋊Dic5C23semidirect
315. C2×#685C23semidirect
316. C2×#685C23semidirect
317. C2×#685C23semidirect
318. C2×#685C23semidirect
319. C2×#685C23semidirect
320. C2×#685C23semidirect
321. C2×C4⋊Dic5C23semidirect
322. C2×C4⋊Dic5C23semidirect
323. C2×C4⋊Dic5C23semidirect
324. C2×C4⋊Dic5C23semidirect
325. C2×#683C23semidirect
326. C2×#683C23semidirect
327. C2×#683C23semidirect
328. C2×#683C23semidirect
329. C2×#683C23semidirect
330. C2×#683C23semidirect
331. C2×#683C23semidirect
332. C2×#683C23semidirect
333. C2×C4×Dic5C23semidirect
334. C2×C4×Dic5C23semidirect
335. C2×C4×Dic5C23semidirect
336. C2×C4×Dic5C23semidirect
358. C5×#95C23semidirect
359. C5×#95C23semidirect
360. C5×#95C23semidirect
361. C5×#95C23semidirect
362. #3963C23semidirect
363. #3963C23semidirect
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
393. #2685D5semidirect
670. C2×#126C2×D5semidirect
704. #399C2×D5semidirect
724. #396C2×D5semidirect
737. #394C2×D5semidirect
738. #394C2×D5semidirect
739. #394C2×D5semidirect
740. #394C2×D5semidirect
755. #390C2×D5semidirect
756. #390C2×D5semidirect
778. #388C2×D5semidirect
779. #388C2×D5semidirect
780. #388C2×D5semidirect
1099. C2×C4⋊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
1185. C2×C22⋊C4C22×D5semidirect
1186. C2×C22⋊C4C22×D5semidirect
1187. C2×C22⋊C4C22×D5semidirect
1188. C2×C22⋊C4C22×D5semidirect
1193. C2×C42C22×D5semidirect
1194. C2×C42C22×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×#26852
#106148452
#106148122
#106143432
#106143272
#106098472
#106098412
#106091682
#106090342
#106088742
#106088712
#106088602
#106088582
#106088542
#106088452
#106088422
#106086562
#106082002
#106081932
#106081732
#106081602
#106076672
#106076652
#106075762
#106075582
#106072582
#106055922
#106055902
D5×#3792
#106055722
#367255