Finite Group Databasebeta

← #12307722

Subgroups — #12307722

Order 1280.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#2444C211yesmaximal, characteristic, complemented
2#10614433C211yesmaximal, characteristic
3#10614406C211yesmaximal, characteristic, complemented
4#10614126C211yesmaximal, characteristic, complemented
5#10614086C211yesmaximal, characteristic, complemented
6#10610019C211yesmaximal, characteristic, complemented
7#10609996C211yesmaximal, characteristic, complemented
8#10609451C211yesmaximal, characteristic, complemented
9#10609435C211yesmaximal, characteristic, complemented
10#10609359C211yesmaximal, characteristic, complemented
11#10609328C211yesmaximal, characteristic, complemented
12#10608873C211yesmaximal, characteristic, complemented
13#10608792C211yesmaximal, characteristic, complemented
14#10607664C211yesmaximal, characteristic, complemented
15#10607413C211yesmaximal, characteristic, complemented
16#10607161C211yesmaximal, characteristic, complemented
17#10606911C211yesmaximal, characteristic, complemented
18#10606663C211yesmaximal, characteristic, complemented
19#10606650C211yesmaximal, characteristic, complemented
20#10606605C211yesmaximal, characteristic, complemented
21#10606601C211yesmaximal, characteristic, complemented
22#10606600C211yesmaximal, characteristic, complemented
23#10606470C211yesmaximal, characteristic, complemented
24#10606421C211yesmaximal, characteristic, complemented
25#10606417C211yesmaximal, characteristic, complemented
26#10606351C211yesmaximal, characteristic, complemented
27#10606144C211yesmaximal, characteristic, complemented
28#10605872C211yesmaximal, characteristic, complemented
29#10605835C211yesmaximal, characteristic, complemented
30#10605087C211yesmaximal, characteristic, complemented
31C2×#64958C211yesmaximal, characteristic, complemented
32C22×D4×D5C2211yescharacteristic
33C2×C5×#121C2211yescharacteristic
34C2×C4×C5×D4C2211yescharacteristic, complemented
35C2×#4085C2211yescharacteristic
36C2×#4083C2211yescharacteristic
37C2×#4083C2211yescharacteristic
38C2×#4081C2211yescharacteristic
39C2×#4081C2211yescharacteristic, complemented
40C22×#685C2211yescharacteristic
41C22×#685C2211yescharacteristic
42C22×#685C2211yescharacteristic
43C22×#683C2211yescharacteristic, complemented
44C22×C4×Dic5C2211yescharacteristic, complemented
45C2×#4043C2211yescharacteristic, complemented
46C2×#4032C2211yescharacteristic
47C2×#4031C2211yescharacteristic, complemented
48C2×D5×C22⋊C4C2211yescharacteristic
49C2×#4025C2211yescharacteristic, complemented
50C2×#4024C2211yescharacteristic, complemented
51C5×#400C2211yescharacteristic, complemented
52C5×#397C2211yescharacteristic, complemented
53C5×#397C2211yescharacteristic, complemented
54C5×#394C2211yescharacteristic, complemented
55C5×#388C2211yescharacteristic, complemented
56C5×#387C2211yescharacteristic, complemented
57C5×#386C2211yescharacteristic
58C5×#386C2211yescharacteristic
59C5×#386C2211yescharacteristic, complemented
60C5×#386C2211yescharacteristic, complemented
61C5×#385C2211yescharacteristic, complemented
62C5×#381C2211yescharacteristic, complemented
63C2×C5×#95C2211yescharacteristic, complemented
64#65512C2211yescharacteristic
65#65511C2211yescharacteristic, complemented
66#65511C2211yescharacteristic, complemented
67#65509C2211yescharacteristic
68#65509C2211yescharacteristic
69#65509C2211yescharacteristic, complemented
70#65502C2211yescharacteristic
71#65502C2211yescharacteristic
72#65502C2211yescharacteristic
73#65502C2211yescharacteristic
74#65502C2211yescharacteristic, complemented
75#65502C2211yescharacteristic, complemented
76#65501C2211yescharacteristic, complemented
77#65501C2211yescharacteristic, complemented
78#65499C2211yescharacteristic, complemented
79C4×C22⋊Dic5C2211yescharacteristic, complemented
80C2×#3963C2211yescharacteristic, complemented
81#65283C2211yescharacteristic
82#65283C2211yescharacteristic
83#65283C2211yescharacteristic, complemented
84#65281C2211yescharacteristic, complemented
85#65281C2211yescharacteristic, complemented
86#65280C2211yescharacteristic
87#65279C2211yescharacteristic
88#65279C2211yescharacteristic, complemented
89#65278C2211yescharacteristic
90#65276C2211yescharacteristic, complemented
91#65273C2211yescharacteristic, complemented
92#65273C2211yescharacteristic, complemented
93#65272C2211yescharacteristic, complemented
94#65269C2211yescharacteristic, complemented
95#65269C2211yescharacteristic, complemented
96#65250C2211yescharacteristic
97#65250C2211yescharacteristic
98#65250C2211yescharacteristic, complemented
99#65249C2211yescharacteristic
100#65248C2211yescharacteristic
101#65248C2211yescharacteristic
102#65248C2211yescharacteristic
103#65247C2211yescharacteristic
104#65246C2211yescharacteristic
105#65246C2211yescharacteristic, complemented
106#65246C2211yescharacteristic, complemented
107#65245C2211yescharacteristic
108#65245C2211yescharacteristic
109#65245C2211yescharacteristic
110#65245C2211yescharacteristic, complemented
111#65245C2211yescharacteristic, complemented
112#65244C2211yescharacteristic
113#65244C2211yescharacteristic
114#65244C2211yescharacteristic
115#65244C2211yescharacteristic
116#65244C2211yescharacteristic
117#65244C2211yescharacteristic
118#65242C2211yescharacteristic, complemented
119#65241C2211yescharacteristic, complemented
120#65240C2211yescharacteristic, complemented
121#65240C2211yescharacteristic, complemented
122#65240C2211yescharacteristic, complemented
123#65239C2211yescharacteristic, complemented
124#65237C2211yescharacteristic, complemented
125#65237C2211yescharacteristic, complemented
126#65237C2211yescharacteristic, complemented
127#65237C2211yescharacteristic, complemented
128#65236C2211yescharacteristic, complemented
129#65235C2211yescharacteristic, complemented
130#65234C2211yescharacteristic, complemented
131#65233C2211yescharacteristic, complemented
132#65233C2211yescharacteristic, complemented
133#65233C2211yescharacteristic, complemented
134#65232C2211yescharacteristic, complemented
135#65229C2211yescharacteristic
136#65229C2211yescharacteristic, complemented
137#65229C2211yescharacteristic, complemented
138#65217C2211yescharacteristic, complemented
139#64966C2211yescharacteristic
140#64964C2211yescharacteristic
141#64964C2211yescharacteristic
142#64964C2211yescharacteristic, complemented
143#64964C2211yescharacteristic, complemented
144#64964C2211yescharacteristic, complemented
145#64963C2211yescharacteristic, complemented
146#64962C2211yescharacteristic
147#64961C2211yescharacteristic
148#64961C2211yescharacteristic
149#64959C2211yescharacteristic, complemented
150#64959C2211yescharacteristic, complemented
151#64958C2211yescharacteristic
152#64958C2211yescharacteristic
153#64958C2211yescharacteristic
154#64958C2211yescharacteristic
155#64958C2211yescharacteristic, complemented
156#64958C2211yescharacteristic, complemented
157#64958C2211yescharacteristic, complemented
158#64958C2211yescharacteristic, complemented
159#64958C2211yescharacteristic, complemented
160#64958C2211yescharacteristic, complemented
161#64957C2211yescharacteristic
162#64957C2211yescharacteristic
163#64957C2211yescharacteristic, complemented
164#64957C2211yescharacteristic, complemented
165#64956C2211yescharacteristic, complemented
166#64956C2211yescharacteristic, complemented
167#64954C2211yescharacteristic
168#64954C2211yescharacteristic
169#64953C2211yescharacteristic
170#64953C2211yescharacteristic
171C5⋊#401C2211yescharacteristic, complemented
172#64949C2211yescharacteristic, complemented
173#64949C2211yescharacteristic, complemented
174#64949C2211yescharacteristic, complemented
175#64949C2211yescharacteristic, complemented
176#64947C2211yescharacteristic, complemented
177#64944C2211yescharacteristic, complemented
178#64943C2211yescharacteristic, complemented
179#64942C2211yescharacteristic, complemented
180#64941C2211yescharacteristic, complemented
181#64940C2211yescharacteristic, complemented
182#64940C2211yescharacteristic, complemented
183#64939C2211yescharacteristic, complemented
184#64939C2211yescharacteristic, complemented
185#64935C2211yescharacteristic, complemented
186#64935C2211yescharacteristic, complemented
187#36779—51nomaximal, Sylow
188C24×D5C2311yescharacteristic
189C24×D5C2311yescharacteristic
190C22×C5×D4C2311yescharacteristic
191C22×C5×D4C2311yescharacteristic
192C22×C5×D4C2311yescharacteristic
193C23×C4×C5C2311yescharacteristic
194C23×C4×C5C2311yescharacteristic
195C23×C4×C5C2311yescharacteristic
196C23×C4×C5C2311yescharacteristic
197C22×C22⋊D5C2311yescharacteristic
198C22×C22⋊D5C2311yescharacteristic
199C22×C22⋊D5C2311yescharacteristic
200C22×C22⋊D5C2311yescharacteristic
201C22×C22⋊D5C2311yescharacteristic
202C23×Dic5C2311yescharacteristic
203C23×Dic5C2311yescharacteristic
204C23×Dic5C2311yescharacteristic
205C2×D4×D5—24no—
206C2×D4×D5—42no—
207C2×D4×D5—42no—
208C22×D20C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C22×Dic10C2311yescharacteristic
213C5×#121—42no—
214C4×C5×D4—42no—
215C2×C5×C4⋊C4C2311yescharacteristic
216C2×C5×C4⋊C4C2311yescharacteristic
217C2×C5×C4⋊C4C2311yescharacteristic
218C2×C5×C4⋊C4C2311yescharacteristic
219C2×C5×C22⋊C4C2311yescharacteristic
220C2×C5×C22⋊C4C2311yescharacteristic
221C2×C5×C22⋊C4C2311yescharacteristic
222C2×C5×C22⋊C4C2311yescharacteristic
223C2×C5×C22⋊C4C2311yescharacteristic
224C2×C5×C22⋊C4C2311yescharacteristic
225C2×C5×C22⋊C4C2311yescharacteristic
226C2×C5×C22⋊C4C2311yescharacteristic
227C2×C5×C22⋊C4C2311yescharacteristic
228C2×C5×C22⋊C4C2311yescharacteristic
229C2×C5×C22⋊C4C2311yescharacteristic
230C2×C42×C5C2311yescharacteristic
231C2×C22⋊Dic5C2311yescharacteristic
232C2×C22⋊Dic5C2311yescharacteristic
233C2×C22⋊Dic5C2311yescharacteristic
234C2×C22⋊Dic5C2311yescharacteristic
235C2×C22⋊Dic5C2311yescharacteristic
236C2×C22⋊Dic5C2311yescharacteristic
237C2×C22⋊Dic5C2311yescharacteristic
238C2×C22⋊Dic5C2311yescharacteristic
239C2×C22⋊Dic5C2311yescharacteristic
240C2×C22⋊Dic5C2311yescharacteristic
241C2×C22⋊Dic5C2311yescharacteristic
242C2×C22⋊Dic5C2311yescharacteristic
243C2×C22⋊Dic5C2311yescharacteristic
244C2×C22⋊Dic5C2311yescharacteristic
245#4085—42no—
246#4083—24no—
247#4083—42no—
248#4081—42no—
249#4081—42no—
250C2×#685—24no—
251C2×#685—42no—
252C2×#685—42no—
253C2×#685C2311yescharacteristic
254C2×#685C2311yescharacteristic
255C2×#685C2311yescharacteristic
256C2×#685C2311yescharacteristic
257C2×#685C2311yescharacteristic
258C2×#685C2311yescharacteristic
259C2×#685C2311yescharacteristic
260C2×#685C2311yescharacteristic
261C2×#685C2311yescharacteristic
262C2×#685C2311yescharacteristic
263C2×#685C2311yescharacteristic
264C2×#685C2311yescharacteristic
265C2×#685C2311yescharacteristic
266C2×#685C2311yescharacteristic
267C2×#685C2311yescharacteristic
268C2×#685C2311yescharacteristic
269C2×#685C2311yescharacteristic
270C2×#685C2311yescharacteristic
271C2×#685C2311yescharacteristic
272C2×#685C2311yescharacteristic
273C2×#685C2311yescharacteristic
274C2×#685C2311yescharacteristic
275C2×#685C2311yescharacteristic
276C2×#685C2311yescharacteristic
277C2×#685C2311yescharacteristic
278C2×#685C2311yescharacteristic
279C2×#685C2311yescharacteristic
280C2×#685C2311yescharacteristic
281C2×#685C2311yescharacteristic
282C2×#685C2311yescharacteristic
283C2×#685C2311yescharacteristic
284C2×C4⋊Dic5C2311yescharacteristic
285C2×C4⋊Dic5C2311yescharacteristic
286C2×C4⋊Dic5C2311yescharacteristic
287C2×C4⋊Dic5C2311yescharacteristic
288C2×C4⋊Dic5C2311yescharacteristic
289C2×C4⋊Dic5C2311yescharacteristic
290C2×C4⋊Dic5C2311yescharacteristic
291C2×#683—42no—
292C2×#683C2311yescharacteristic
293C2×#683C2311yescharacteristic
294C2×#683C2311yescharacteristic
295C2×#683C2311yescharacteristic
296C2×#683C2311yescharacteristic
297C2×#683C2311yescharacteristic
298C2×#683C2311yescharacteristic
299C2×#683C2311yescharacteristic
300C2×#683C2311yescharacteristic
301C2×#683C2311yescharacteristic
302C2×#683C2311yescharacteristic
303C2×#683C2311yescharacteristic
304C2×#683C2311yescharacteristic
305C2×#683C2311yescharacteristic
306C2×#683C2311yescharacteristic
307C2×C4×Dic5—42no—
308C2×C4×Dic5C2311yescharacteristic
309C2×C4×Dic5C2311yescharacteristic
310C2×C4×Dic5C2311yescharacteristic
311C2×C4×Dic5C2311yescharacteristic
312C2×C4×Dic5C2311yescharacteristic
313C2×C4×Dic5C2311yescharacteristic
314#4043—42no—
315#4032—42no—
316#4031—42no—
317D5×C22⋊C4—42no—
318#4025—42no—
319#4024—42no—
320C5×#95C2311yescharacteristic
321C5×#95C2311yescharacteristic
322C5×#95C2311yescharacteristic
323C5×#95C2311yescharacteristic
324C5×#95C2311yescharacteristic
325C5×#95C2311yescharacteristic
326C5×#95C2311yescharacteristic
327C5×#95C2311yescharacteristic
328C5×#95C2311yescharacteristic
329C5×#95C2311yescharacteristic
330C5×#95C2311yescharacteristic
331C5×#95C2311yescharacteristic
332#3963C2311yescharacteristic
333#3963C2311yescharacteristic
334#3963C2311yescharacteristic
335#3963C2311yescharacteristic
336#3963C2311yescharacteristic
337#3963C2311yescharacteristic
338#3963C2311yescharacteristic
339#3963C2311yescharacteristic
340#3963C2311yescharacteristic
341#3963C2311yescharacteristic
342#3963C2311yescharacteristic
343#3963C2311yescharacteristic
344#3963C2311yescharacteristic
345#3963C2311yescharacteristic
346#3963C2311yescharacteristic
347#3963C2311yescharacteristic
348#3963C2311yescharacteristic
349#3963C2311yescharacteristic
350#3963C2311yescharacteristic
351#3963C2311yescharacteristic
352#3963C2311yescharacteristic
353#3963C2311yescharacteristic
354#3963C2311yescharacteristic
355#3963C2311yescharacteristic
356#3963C2311yescharacteristic
357#3963C2311yescharacteristic
358#3963C2311yescharacteristic
359#3963C2311yescharacteristic
360#3963C2311yescharacteristic
361#3963C2311yescharacteristic
362#3963C2311yescharacteristic
363#3963C2311yescharacteristic
364#2852—51no—
365#2850—51no—
366#2781—51no—
367#2781—51no—
368#2778—51no—
369#2765—51no—
370#2764—51no—
371#2761—51no—
372#2756—51no—
373#2749—51no—
374#2743—51no—
375#2741—51no—
376#2735—51no—
377#2735—51no—
378#2730—51no—
379#2702—51no—
380#2685—51no—
381#2684—51no—
382#2623—51no—
383#2618—51no—
384#2510—51no—
385#2488—51no—
386#2444D511yescharacteristic, complemented
387#2437—51no—
388#2425—51no—
389#2412—51no—
390#2410—51no—
391#2405—51no—
392#2321—51no—
393#2308—51no—
394C2×#388—51no—
395C24×C5C2411yescharacteristic
396C24×C5C2411yescharacteristic
397C24×C5C2411yescharacteristic
398C23×D5—22no—
399C23×D5—22no—
400C23×D5—22no—
401C23×D5—41no—
402C23×D5—41no—
403C23×D5—41no—
404C23×D5—41no—
405C23×D5—41no—
406C23×D5—41no—
407C23×D5—41no—
408C23×D5—41no—
409C23×D5—41no—
410C23×D5—41no—
411C23×D5#4114yes—
412C23×D5C2411yescharacteristic
413C23×D5C2411yescharacteristic
414C23×D5C2411yescharacteristic
415C2×C5×D4—22no—
416C2×C5×D4—22no—
417C2×C5×D4—22no—
418C2×C5×D4—22no—
419C2×C5×D4—22no—
420C2×C5×D4—22no—
421C2×C5×D4—41no—
422C2×C5×D4—41no—
423C2×C5×D4—41no—
424C22×C4×C5—22no—
425C22×C4×C5—22no—
426C22×C4×C5—22no—
427C22×C4×C5—41no—
428C22×C4×C5—41no—
429C22×C4×C5—41no—
430C22×C4×C5—41no—
431C22×C4×C5—41no—
432C22×C4×C5—41no—
433C22×C4×C5—41no—
434C22×C4×C5—41no—
435C22×C4×C5—41no—
436C22×C4×C5C2411yescharacteristic
437C22×C4×C5C2411yescharacteristic
438C22×C4×C5C2411yescharacteristic
439C22×C4×C5C2411yescharacteristic
440C22×C4×C5C2411yescharacteristic
441C22×C4×C5C2411yescharacteristic
442C22×C4×C5C2411yescharacteristic
443C22×C4×C5C2411yescharacteristic
444C22×C4×C5C2411yescharacteristic
445C22×C4×C5C2411yescharacteristic
446C22×C4×C5C2411yescharacteristic
447C22×C4×C5C2411yescharacteristic
448C2×C22⋊D5—22no—
449C2×C22⋊D5—22no—
450C2×C22⋊D5—22no—
451C2×C22⋊D5—22no—
452C2×C22⋊D5—22no—
453C2×C22⋊D5—22no—
454C2×C22⋊D5—22no—
455C2×C22⋊D5—41no—
456C2×C22⋊D5—41no—
457C2×C22⋊D5—41no—
458C2×C22⋊D5—41no—
459C2×C22⋊D5—41no—
460C2×C22⋊D5—41no—
461C2×C22⋊D5—41no—
462C2×C22⋊D5—41no—
463C22×Dic5—22no—
464C22×Dic5—22no—
465C22×Dic5—22no—
466C22×Dic5—22no—
467C22×Dic5—22no—
468C22×Dic5—22no—
469C22×Dic5—41no—
470C22×Dic5—41no—
471C22×Dic5—41no—
472C22×Dic5C2411yescharacteristic
473C22×Dic5C2411yescharacteristic
474C22×Dic5C2411yescharacteristic
475C22×Dic5C2411yescharacteristic
476C22×Dic5C2411yescharacteristic
477C22×Dic5C2411yescharacteristic
478C22×Dic5C2411yescharacteristic
479C22×Dic5C2411yescharacteristic
480C22×Dic5C2411yescharacteristic
481C22×Dic5C2411yescharacteristic
482C22×Dic5C2411yescharacteristic
483C22×Dic5C2411yescharacteristic
484C22×Dic5C2411yescharacteristic
485D4×D5—416no—
486C2×D20—22no—
487C2×D20—41no—
488C2×D20—41no—
489C2×C4×D5—22no—
490C2×C4×D5—41no—
491C2×C4×D5—41no—
492C2×C4×D5—41no—
493C2×C4×D5—41no—
494C2×C4×D5—41no—
495C2×C4×D5—41no—
496C2×C4×D5—41no—
497C2×C4×D5—41no—
498C2×Dic10—22no—
499C2×Dic10—41no—
500C2×Dic10—41no—
501C5×C4⋊C4—41no—
502C5×C4⋊C4—41no—
503C5×C4⋊C4—41no—
504C5×C4⋊C4—41no—
505C5×C22⋊C4—22no—
506C5×C22⋊C4—22no—
507C5×C22⋊C4—41no—
508C5×C22⋊C4—41no—
509C5×C22⋊C4—41no—
510C5×C22⋊C4—41no—
511C5×C22⋊C4—41no—
512C5×C22⋊C4—41no—
513C5×C22⋊C4—41no—
514C5×C22⋊C4—41no—
515C5×C22⋊C4—41no—
516C42×C5—41no—
517C22⋊Dic5—22no—
518C22⋊Dic5—22no—
519C22⋊Dic5—22no—
520C22⋊Dic5—22no—
521C22⋊Dic5—41no—
522C22⋊Dic5—41no—
523C22⋊Dic5—41no—
524C22⋊Dic5—41no—
525C22⋊Dic5—41no—
526C22⋊Dic5—41no—
527C22⋊Dic5—41no—
528C22⋊Dic5—41no—
529C22⋊Dic5—41no—
530C22⋊Dic5—41no—
531#685—22no—
532#685—22no—
533#685—22no—
534#685—22no—
535#685—22no—
536#685—22no—
537#685—22no—
538#685—22no—
539#685—41no—
540#685—41no—
541#685—41no—
542#685—41no—
543#685—41no—
544#685—41no—
545#685—41no—
546#685—41no—
547#685—41no—
548#685—41no—
549#685—41no—
550#685—41no—
551#685—41no—
552#685—41no—
553#685—41no—
554#685—41no—
555#685—41no—
556#685—41no—
557#685—41no—
558#685—41no—
559#685—41no—
560#685—41no—
561#685—41no—
562C4⋊Dic5—22no—
563C4⋊Dic5—41no—
564C4⋊Dic5—41no—
565C4⋊Dic5—41no—
566C4⋊Dic5—41no—
567C4⋊Dic5—41no—
568C4⋊Dic5—41no—
569#683—41no—
570#683—41no—
571#683—41no—
572#683—41no—
573#683—41no—
574#683—41no—
575#683—41no—
576#683—41no—
577#683—41no—
578#683—41no—
579#683—41no—
580#683—41no—
581#683—41no—
582#683—41no—
583#683—41no—
584C4×Dic5—22no—
585C4×Dic5—22no—
586C4×Dic5—41no—
587C4×Dic5—41no—
588C4×Dic5—41no—
589C4×Dic5—41no—
590C23×D4—51no—
591C2×#126—51no—
592C2×#124—51no—
593C2×#123—51no—
594C2×#123—51no—
595C2×#123—51no—
596C2×C22⋊Q8—51no—
597C2×C22⋊Q8—51no—
598C2×#121—51no—
599C2×#121C2×D511yescharacteristic
600C2×#120—51no—
601C2×#120—51no—
602C2×C4×D4C2×D511yescharacteristic, complemented
603C22×C4⋊C4—51no—
604C22×C22⋊C4—51no—
605C22×C22⋊C4—51no—
606C22×C22⋊C4—51no—
607C22×C22⋊C4—51no—
608C22×C42—51no—
609#401—51no—
610#400—51no—
611#400—51no—
612#400—51no—
613#400—51no—
614#400—51no—
615#400C2×D511yescharacteristic, complemented
616#399—51no—
617#399—51no—
618#399—51no—
619#398—51no—
620#398—51no—
621#398—51no—
622#398—51no—
623#398—51no—
624#397—51no—
625#397—51no—
626#397—51no—
627#397—51no—
628#397—51no—
629#397—51no—
630#397—51no—
631#397—51no—
632#397C2×D511yescharacteristic, complemented
633#397C2×D511yescharacteristic, complemented
634#396—51no—
635#396—51no—
636#396—51no—
637#396—51no—
638#396—51no—
639#396—51no—
640#396—51no—
641#394—51no—
642#394—51no—
643#394—51no—
644#394—51no—
645#394—51no—
646#394—51no—
647#394—51no—
648#394—51no—
649#394—51no—
650#394—51no—
651#394—51no—
652#394C2×D511yescharacteristic, complemented
653#393—51no—
654#393—51no—
655#392—51no—
656#392—51no—
657#391—51no—
658#391—51no—
659#390—51no—
660#390—51no—
661#390—51no—
662#389—51no—
663#388—51no—
664#388—51no—
665#388—51no—
666#388—51no—
667#388—51no—
668#388—51no—
669#388—51no—
670#388—51no—
671#388—51no—
672#388—51no—
673#388—51no—
674#388—51no—
675#388—51no—
676#388—51no—
677#388—51no—
678#388—51no—
679#388—51no—
680#388—51no—
681#388—51no—
682#388—51no—
683#388—51no—
684#388—51no—
685#388—51no—
686#388—51no—
687#388C2×D511yescharacteristic, complemented
688#387—51no—
689#387—51no—
690#387—51no—
691#387—51no—
692#387C2×D511yescharacteristic, complemented
693#386—51no—
694#386—51no—
695#386—51no—
696#386—51no—
697#386—51no—
698#386—51no—
699#386—51no—
700#386—51no—
701#386—51no—
702#386—51no—
703#386—51no—
704#386—51no—
705#386—51no—
706#386—51no—
707#386—51no—
708#386—51no—
709#386—51no—
710#386C2×D511yescharacteristic
711#386C2×D511yescharacteristic
712#386C2×D511yescharacteristic, complemented
713#386C2×D511yescharacteristic, complemented
714#385—51no—
715#385—51no—
716#385—51no—
717#385—51no—
718#385—51no—
719#385—51no—
720#385—51no—
721#385—51no—
722#385C2×D511yescharacteristic, complemented
723#383—51no—
724#383—51no—
725#382—51no—
726#382—51no—
727#381—51no—
728#381—51no—
729#381—51no—
730#381C2×D511yescharacteristic, complemented
731#380—51no—
732#380—51no—
733#380—51no—
734#380—51no—
735#380—51no—
736#379—51no—
737#379—51no—
738#379—51no—
739#379—51no—
740#379—51no—
741#379—51no—
742C4×C22⋊C4—51no—
743C2×#95—51no—
744C2×#95C2×D511yescharacteristic, complemented
745C23×C5—21no—
746C23×C5—21no—
747C23×C5—21no—
748C23×C5—21no—
749C23×C5—21no—
750C23×C5—21no—
751C23×C5—21no—
752C23×C5—21no—
753C23×C5—21no—
754C23×C5—21no—
755C23×C5—21no—
756C23×C5—21no—
757C23×C5—21no—
758C23×C5—21no—
759C23×C5—21no—
760C23×C5—21no—
761C23×C5—21no—
762C23×C5—21no—
763C23×C5C2×#4112yes—
764C23×C5H(5,𝔽2)12yes—
765C23×C5H(5,𝔽2)12yes—
766C23×C5C2511yescharacteristic
767C22×D5—21no—
768C22×D5—21no—
769C22×D5—21no—
770C22×D5—21no—
771C22×D5—21no—
772C22×D5—21no—
773C22×D5—21no—
774C22×D5—21no—
775C22×D5—21no—
776C22×D5—21no—
777C22×D5—21no—
778C22×D5—21no—
779C22×D5—28no—
780C22×D5—21no—
781C22×D5—21no—
782C22×D5—21no—
783C22×D5—21no—
784C22×D5—21no—
785C22×D5—21no—
786C22×D5—21no—
787C22×D5—44no—
788C22×D5—44no—
789C22×D5—44no—
790C22×D5—82no—
791C22×D5—82no—
792C22×D5—82no—
793C22×D5—82no—
794C22×D5—82no—
795C22×D5—82no—
796C22×D5—82no—
797C22×D5—82no—
798C22×D5—82no—
799C22×D5—82no—
800C22×D5C2×#4112yes—
801C22×D5C2×#4112yes—
802C5×D4—44no—
803C5×D4—44no—
804C5×D4—82no—
805C2×C4×C5—21no—
806C2×C4×C5—21no—
807C2×C4×C5—21no—
808C2×C4×C5—21no—
809C2×C4×C5—21no—
810C2×C4×C5—21no—
811C2×C4×C5—21no—
812C2×C4×C5—21no—
813C2×C4×C5—21no—
814C2×C4×C5—21no—
815C2×C4×C5—21no—
816C2×C4×C5—21no—
817C2×C4×C5—21no—
818C2×C4×C5—21no—
819C2×C4×C5—21no—
820C2×C4×C5—21no—
821C2×C4×C5—21no—
822C2×C4×C5—21no—
823C2×C4×C5—21no—
824C2×C4×C5—21no—
825C2×C4×C5—21no—
826C2×C4×C5—21no—
827C2×C4×C5—21no—
828C2×C4×C5—21no—
829C2×C4×C5—21no—
830C2×C4×C5—21no—
831C2×C4×C5—21no—
832C2×C4×C5—21no—
833C2×C4×C5—21no—
834C2×C4×C5—21no—
835C2×C4×C5—21no—
836C2×C4×C5—21no—
837C2×C4×C5—21no—
838C2×C4×C5—21no—
839C2×C4×C5—21no—
840C2×C4×C5—21no—
841C2×C4×C5—44no—
842C2×C4×C5—82no—
843C2×C4×C5—82no—
844C2×C4×C5—82no—
845C22⋊D5—44no—
846C22⋊D5—44no—
847C22⋊D5—82no—
848C22⋊D5—82no—
849C22⋊D5—82no—
850C2×Dic5—21no—
851C2×Dic5—21no—
852C2×Dic5—21no—
853C2×Dic5—21no—
854C2×Dic5—21no—
855C2×Dic5—21no—
856C2×Dic5—21no—
857C2×Dic5—21no—
858C2×Dic5—21no—
859C2×Dic5—21no—
860C2×Dic5—21no—
861C2×Dic5—21no—
862C2×Dic5—21no—
863C2×Dic5—21no—
864C2×Dic5—21no—
865C2×Dic5—21no—
866C2×Dic5—21no—
867C2×Dic5—21no—
868C2×Dic5—21no—
869C2×Dic5—21no—
870C2×Dic5—21no—
871C2×Dic5—21no—
872C2×Dic5—21no—
873C2×Dic5—21no—
874C2×Dic5—21no—
875C2×Dic5—21no—
876C2×Dic5—21no—
877C2×Dic5—21no—
878C2×Dic5—21no—
879C2×Dic5—21no—
880C2×Dic5—21no—
881C2×Dic5—21no—
882C2×Dic5—21no—
883C2×Dic5—21no—
884C2×Dic5—21no—
885C2×Dic5—21no—
886C2×Dic5—21no—
887C2×Dic5—21no—
888C2×Dic5—44no—
889C2×Dic5—44no—
890C2×Dic5—44no—
891C2×Dic5H(5,𝔽2)12yes—
892D20—44no—
893C4×D5—44no—
894C4×D5—82no—
895C4×D5—82no—
896Dic10—82no—
897C25—51no—
898C25—51no—
899C22×Q8—51no—
900C22×D4—51no—
901C22×D4—51no—
902C22×D4—51no—
903C22×D4—51no—
904C22×D4—51no—
905C22×D4—51no—
906C22×D4—104no—
907C22×D4—202no—
908C22×D4—202no—
909C22×D4C22×D511yescharacteristic
910C22×D4C22×D511yescharacteristic
911C22×D4C22×D511yescharacteristic
912C23×C4—51no—
913C23×C4—51no—
914C23×C4—51no—
915C23×C4—51no—
916C23×C4—51no—
917C23×C4—51no—
918C23×C4C22×D511yescharacteristic
919C23×C4C22×D511yescharacteristic
920C23×C4C22×D511yescharacteristic
921C23×C4C22×D511yescharacteristic
922#126—202no—
923#124—202no—
924#123—202no—
925#123—202no—
926#123—202no—
927C22⋊Q8—202no—
928C22⋊Q8—202no—
929#121—42no—
930#121—202no—
931#120—104no—
932#120—202no—
933C4×D4—42no—
934C2×C4⋊C4—51no—
935C2×C4⋊C4—51no—
936C2×C4⋊C4—51no—
937C2×C4⋊C4—51no—
938C2×C4⋊C4—51no—
939C2×C4⋊C4—51no—
940C2×C4⋊C4—51no—
941C2×C4⋊C4—51no—
942C2×C4⋊C4—51no—
943C2×C4⋊C4—51no—
944C2×C4⋊C4—51no—
945C2×C4⋊C4—51no—
946C2×C4⋊C4—51no—
947C2×C4⋊C4—51no—
948C2×C4⋊C4—51no—
949C2×C4⋊C4—51no—
950C2×C4⋊C4—51no—
951C2×C4⋊C4—51no—
952C2×C4⋊C4—51no—
953C2×C4⋊C4—51no—
954C2×C4⋊C4—51no—
955C2×C4⋊C4—51no—
956C2×C4⋊C4—202no—
957C2×C4⋊C4C22×D511yescharacteristic
958C2×C4⋊C4C22×D511yescharacteristic
959C2×C4⋊C4C22×D511yescharacteristic
960C2×C4⋊C4C22×D511yescharacteristic
961C2×C22⋊C4—51no—
962C2×C22⋊C4—51no—
963C2×C22⋊C4—51no—
964C2×C22⋊C4—51no—
965C2×C22⋊C4—51no—
966C2×C22⋊C4—51no—
967C2×C22⋊C4—51no—
968C2×C22⋊C4—51no—
969C2×C22⋊C4—51no—
970C2×C22⋊C4—51no—
971C2×C22⋊C4—51no—
972C2×C22⋊C4—51no—
973C2×C22⋊C4—51no—
974C2×C22⋊C4—51no—
975C2×C22⋊C4—51no—
976C2×C22⋊C4—51no—
977C2×C22⋊C4—51no—
978C2×C22⋊C4—51no—
979C2×C22⋊C4—51no—
980C2×C22⋊C4—51no—
981C2×C22⋊C4—51no—
982C2×C22⋊C4—51no—
983C2×C22⋊C4—51no—
984C2×C22⋊C4—51no—
985C2×C22⋊C4—51no—
986C2×C22⋊C4—51no—
987C2×C22⋊C4—51no—
988C2×C22⋊C4—51no—
989C2×C22⋊C4—51no—
990C2×C22⋊C4—51no—
991C2×C22⋊C4—51no—
992C2×C22⋊C4—51no—
993C2×C22⋊C4—51no—
994C2×C22⋊C4—51no—
995C2×C22⋊C4—51no—
996C2×C22⋊C4—51no—
997C2×C22⋊C4—51no—
998C2×C22⋊C4—51no—
999C2×C22⋊C4—51no—
1000C2×C22⋊C4—51no—
1001C2×C22⋊C4—51no—
1002C2×C22⋊C4—51no—
1003C2×C22⋊C4—51no—
1004C2×C22⋊C4—51no—
1005C2×C22⋊C4—51no—
1006C2×C22⋊C4—104no—
1007C2×C22⋊C4—202no—
1008C2×C22⋊C4—202no—
1009C2×C22⋊C4—202no—
1010C2×C22⋊C4C22×D511yescharacteristic
1011C2×C22⋊C4C22×D511yescharacteristic
1012C2×C22⋊C4C22×D511yescharacteristic
1013C2×C22⋊C4C22×D511yescharacteristic
1014C2×C22⋊C4C22×D511yescharacteristic
1015C2×C22⋊C4C22×D511yescharacteristic
1016C2×C22⋊C4C22×D511yescharacteristic
1017C2×C22⋊C4C22×D511yescharacteristic
1018C2×C22⋊C4C22×D511yescharacteristic
1019C2×C22⋊C4C22×D511yescharacteristic
1020C2×C22⋊C4C22×D511yescharacteristic
1021C2×C42—51no—
1022C2×C42—51no—
1023C2×C42—51no—
1024C2×C42—51no—
1025C2×C42—51no—
1026C2×C42—51no—
1027C2×C42—202no—
1028C2×C42C22×D511yescharacteristic
1029#95—51no—
1030#95—51no—
1031#95—51no—
1032#95—51no—
1033#95—51no—
1034#95—51no—
1035#95—51no—
1036#95—51no—
1037#95—51no—
1038#95—51no—
1039#95—51no—
1040#95—51no—
1041#95—51no—
1042#95—51no—
1043#95—51no—
1044#95—51no—
1045#95—51no—
1046#95—51no—
1047#95—51no—
1048#95—51no—
1049#95—51no—
1050#95—51no—
1051#95—51no—
1052#95—51no—
1053#95—51no—
1054#95—51no—
1055#95—51no—
1056#95—51no—
1057#95—51no—
1058#95—51no—
1059#95—51no—
1060#95—51no—
1061#95C22×D511yescharacteristic
1062#95C22×D511yescharacteristic
1063#95C22×D511yescharacteristic
1064#95C22×D511yescharacteristic
1065#95C22×D511yescharacteristic
1066#95C22×D511yescharacteristic
1067#95C22×D511yescharacteristic
1068#95C22×D511yescharacteristic
1069#95C22×D511yescharacteristic
1070#95C22×D511yescharacteristic
1071#95C22×D511yescharacteristic
1072#95C22×D511yescharacteristic
1073C22×C5—22no—
1074C22×C5—22no—
1075C22×C5—22no—
1076C22×C5—22no—
1077C22×C5—22no—
1078C22×C5—22no—
1079C22×C5—41no—
1080C22×C5—41no—
1081C22×C5—41no—
1082C22×C5—41no—
1083C22×C5—41no—
1084C22×C5—41no—
1085C22×C5—41no—
1086C22×C5—41no—
1087C22×C5—41no—
1088C22×C5—41no—
1089C22×C5—41no—
1090C22×C5—41no—
1091C22×C5—41no—
1092C22×C5—41no—
1093C22×C5#53814yes—
1094C22×C5C22×#4111yescharacteristic
1095C22×C5C2×H(5,𝔽2)11yescharacteristic
1096C22×C5C2×H(5,𝔽2)11yescharacteristic
1097C22×C5C2×H(5,𝔽2)11yescharacteristic
1098C22×C5#58511yescharacteristic
1099C22×C5#58511yescharacteristic
1100C22×C5#58511yescharacteristic
1101C2×D5—22no—
1102C2×D5—22no—
1103C2×D5—22no—
1104C2×D5—22no—
1105C2×D5—22no—
1106C2×D5—22no—
1107C2×D5—41no—
1108C2×D5—41no—
1109C2×D5—41no—
1110C2×D5—41no—
1111C2×D5—41no—
1112C2×D5—41no—
1113C2×D5—41no—
1114C2×D5—41no—
1115C2×D5—41no—
1116C2×D5—41no—
1117C2×D5—41no—
1118C2×D5—41no—
1119C2×D5—41no—
1120C2×D5—41no—
1121C2×D5—41no—
1122C2×D5—88no—
1123C2×D5—88no—
1124C4×C5—41no—
1125C4×C5—41no—
1126C4×C5—41no—
1127C4×C5—41no—
1128C4×C5—41no—
1129C4×C5—41no—
1130C4×C5—41no—
1131C4×C5—41no—
1132C4×C5—41no—
1133C4×C5—41no—
1134C4×C5—41no—
1135C4×C5—41no—
1136Dic5—22no—
1137Dic5—41no—
1138Dic5—41no—
1139Dic5—41no—
1140Dic5—41no—
1141Dic5—41no—
1142Dic5—41no—
1143Dic5—41no—
1144Dic5—41no—
1145Dic5—41no—
1146Dic5—41no—
1147Dic5—41no—
1148Dic5—41no—
1149C24—51no—
1150C24—51no—
1151C24—54no—
1152C24—51no—
1153C24—102no—
1154C24—102no—
1155C24—102no—
1156C24—201no—
1157C24—201no—
1158C24—201no—
1159C24—201no—
1160C24—201no—
1161C24—201no—
1162C24—201no—
1163C24—201no—
1164C24—201no—
1165C24—201no—
1166C24C23×D511yescharacteristic
1167C24C23×D511yescharacteristic
1168C24C23×D511yescharacteristic
1169C2×Q8—102no—
1170C2×Q8—201no—
1171C2×Q8—201no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—102no—
1182C2×D4—102no—
1183C2×D4—102no—
1184C2×D4—102no—
1185C2×D4—102no—
1186C2×D4—102no—
1187C2×D4—102no—
1188C2×D4—102no—
1189C2×D4—201no—
1190C2×D4—201no—
1191C2×D4—201no—
1192C2×D4—201no—
1193C2×D4—201no—
1194C2×D4—201no—
1195C2×D4—201no—
1196C2×D4—201no—
1197C2×D4—201no—
1198C2×D4—201no—
1199C2×D4—2016no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—51no—
1213C22×C4—51no—
1214C22×C4—51no—
1215C22×C4—51no—
1216C22×C4—51no—
1217C22×C4—51no—
1218C22×C4—51no—
1219C22×C4—51no—
1220C22×C4—51no—
1221C22×C4—51no—
1222C22×C4—51no—
1223C22×C4—51no—
1224C22×C4—51no—
1225C22×C4—102no—
1226C22×C4—102no—
1227C22×C4—102no—
1228C22×C4—102no—
1229C22×C4—102no—
1230C22×C4—102no—
1231C22×C4—102no—
1232C22×C4—201no—
1233C22×C4—201no—
1234C22×C4—201no—
1235C22×C4—201no—
1236C22×C4—201no—
1237C22×C4—201no—
1238C22×C4—201no—
1239C22×C4—201no—
1240C22×C4—201no—
1241C22×C4—201no—
1242C22×C4—201no—
1243C22×C4C23×D511yescharacteristic
1244C22×C4C23×D511yescharacteristic
1245C22×C4C23×D511yescharacteristic
1246C22×C4C23×D511yescharacteristic
1247C22×C4C23×D511yescharacteristic
1248C22×C4C23×D511yescharacteristic
1249C22×C4C23×D511yescharacteristic
1250C22×C4C23×D511yescharacteristic
1251C22×C4C23×D511yescharacteristic
1252C22×C4C23×D511yescharacteristic
1253C22×C4C23×D511yescharacteristic
1254C22×C4C23×D511yescharacteristic
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—102no—
1260C4⋊C4—201no—
1261C4⋊C4—201no—
1262C4⋊C4—201no—
1263C4⋊C4—201no—
1264C4⋊C4—201no—
1265C4⋊C4—201no—
1266C4⋊C4—201no—
1267C4⋊C4—201no—
1268C4⋊C4—201no—
1269C4⋊C4—201no—
1270C4⋊C4—201no—
1271C4⋊C4—201no—
1272C4⋊C4—201no—
1273C4⋊C4—201no—
1274C4⋊C4—201no—
1275C4⋊C4—201no—
1276C4⋊C4—201no—
1277C4⋊C4—201no—
1278C4⋊C4—201no—
1279C4⋊C4—201no—
1280C4⋊C4—201no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—102no—
1293C22⋊C4—102no—
1294C22⋊C4—102no—
1295C22⋊C4—102no—
1296C22⋊C4—102no—
1297C22⋊C4—102no—
1298C22⋊C4—102no—
1299C22⋊C4—102no—
1300C22⋊C4—102no—
1301C22⋊C4—102no—
1302C22⋊C4—102no—
1303C22⋊C4—102no—
1304C22⋊C4—201no—
1305C22⋊C4—201no—
1306C22⋊C4—201no—
1307C22⋊C4—201no—
1308C22⋊C4—201no—
1309C22⋊C4—201no—
1310C22⋊C4—201no—
1311C22⋊C4—201no—
1312C22⋊C4—201no—
1313C22⋊C4—201no—
1314C22⋊C4—201no—
1315C22⋊C4—201no—
1316C22⋊C4—201no—
1317C22⋊C4—201no—
1318C22⋊C4—201no—
1319C22⋊C4—201no—
1320C22⋊C4—201no—
1321C22⋊C4—201no—
1322C22⋊C4—201no—
1323C22⋊C4—201no—
1324C22⋊C4—201no—
1325C22⋊C4—201no—
1326C22⋊C4—201no—
1327C22⋊C4—201no—
1328C22⋊C4—201no—
1329C22⋊C4—201no—
1330C22⋊C4—201no—
1331C22⋊C4—201no—
1332C22⋊C4—201no—
1333C22⋊C4—201no—
1334C22⋊C4—201no—
1335C22⋊C4—201no—
1336C22⋊C4—201no—
1337C42—41no—
1338C42—102no—
1339C42—102no—
1340C42—201no—
1341C42—201no—
1342C42—201no—
1343C42—201no—
1344C2×C5—24no—
1345C2×C5—81no—
1346C2×C5—81no—
1347C2×C5C2×#53811yescharacteristic
1348C2×C5#349111yescharacteristic
1349C2×C5#350511yescharacteristic
1350C2×C5#353411yescharacteristic
1351C2×C5#354211yescharacteristic
1352C2×C5#354511yescharacteristic
1353C2×C5#356011yescharacteristic
1354D5—42no—
1355D5—42no—
1356D5—81no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—52no—
1376C23—52no—
1377C23—101no—
1378C23—101no—
1379C23—101no—
1380C23—101no—
1381C23—101no—
1382C23—101no—
1383C23—101no—
1384C23—101no—
1385C23—101no—
1386C23—101no—
1387C23—101no—
1388C23—101no—
1389C23—108no—
1390C23—101no—
1391C23—101no—
1392C23—101no—
1393C23—101no—
1394C23—101no—
1395C23—101no—
1396C23—101no—
1397C23—204no—
1398C23—204no—
1399C23—204no—
1400C23—402no—
1401C23—402no—
1402C23—402no—
1403C23—402no—
1404C23—402no—
1405C23—402no—
1406C23—402no—
1407C23—402no—
1408C23—402no—
1409C23—402no—
1410C23#414412yes—
1411C23D5×#4112yes—
1412C23#414912yes—
1413C23C24×D511yescharacteristic
1414Q8—402no—
1415D4—44no—
1416D4—44no—
1417D4—82no—
1418D4—204no—
1419D4—204no—
1420D4—204no—
1421D4—402no—
1422D4—402no—
1423D4—402no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—44no—
1461C2×C4—52no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—101no—
1466C2×C4—101no—
1467C2×C4—101no—
1468C2×C4—101no—
1469C2×C4—101no—
1470C2×C4—101no—
1471C2×C4—101no—
1472C2×C4—101no—
1473C2×C4—101no—
1474C2×C4—101no—
1475C2×C4—101no—
1476C2×C4—101no—
1477C2×C4—101no—
1478C2×C4—101no—
1479C2×C4—101no—
1480C2×C4—101no—
1481C2×C4—101no—
1482C2×C4—101no—
1483C2×C4—101no—
1484C2×C4—101no—
1485C2×C4—101no—
1486C2×C4—101no—
1487C2×C4—101no—
1488C2×C4—101no—
1489C2×C4—101no—
1490C2×C4—101no—
1491C2×C4—101no—
1492C2×C4—101no—
1493C2×C4—101no—
1494C2×C4—101no—
1495C2×C4—101no—
1496C2×C4—101no—
1497C2×C4—101no—
1498C2×C4—101no—
1499C2×C4—101no—
1500C2×C4—101no—
1501C2×C4—101no—
1502C2×C4—101no—
1503C2×C4—204no—
1504C2×C4—204no—
1505C2×C4—204no—
1506C2×C4—204no—
1507C2×C4—402no—
1508C2×C4—402no—
1509C5#3677911yescharacteristic, complemented, Sylow
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—102no—
1531C22—102no—
1532C22—102no—
1533C22—102no—
1534C22—102no—
1535C22—102no—
1536C22—201no—
1537C22—201no—
1538C22—201no—
1539C22—201no—
1540C22—201no—
1541C22—201no—
1542C22—201no—
1543C22—201no—
1544C22—201no—
1545C22—201no—
1546C22—201no—
1547C22—201no—
1548C22—201no—
1549C22—201no—
1550C22—201no—
1551C22—408no—
1552C22—408no—
1553C22#6599114yes—
1554C22C2×#414411yescharacteristic
1555C22C2×D5×#4111yescharacteristic
1556C22C2×#414911yescharacteristic
1557C22#6628311yescharacteristic
1558C22#6628311yescharacteristic
1559C22D5×H(5,𝔽2)11yescharacteristic
1560C22#6628511yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—102no—
1574C4—201no—
1575C4—201no—
1576C4—201no—
1577C4—201no—
1578C4—201no—
1579C4—201no—
1580C4—201no—
1581C4—201no—
1582C4—201no—
1583C4—201no—
1584C4—201no—
1585C4—201no—
1586C2—24no—
1587C2—81no—
1588C2—81no—
1589C2—202no—
1590C2—202no—
1591C2—401no—
1592C2C2×#6599111yescharacteristic
1593C2#1061805611yescharacteristic
1594C2#1061831611yescharacteristic
1595C2#1061855111yescharacteristic
1596C2#1061855311yescharacteristic
1597C2#1061880211yescharacteristic
1598C2#1061881611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2444C2
prime radical#10614433C2
hypercenter#2444D5
hypocenterC5#36779
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
1. C5×#2444C2semidirect
3. #10614406C2semidirect
4. #10614126C2semidirect
5. #10614086C2semidirect
6. #10610019C2semidirect
7. #10609996C2semidirect
8. #10609451C2semidirect
9. #10609435C2semidirect
10. #10609359C2semidirect
11. #10609328C2semidirect
12. #10608873C2semidirect
13. #10608792C2semidirect
14. #10607664C2semidirect
15. #10607413C2semidirect
16. #10607161C2semidirect
17. #10606911C2semidirect
18. #10606663C2semidirect
19. #10606650C2semidirect
20. #10606605C2semidirect
21. #10606601C2semidirect
22. #10606600C2semidirect
23. #10606470C2semidirect
24. #10606421C2semidirect
25. #10606417C2semidirect
26. #10606351C2semidirect
27. #10606144C2semidirect
28. #10605872C2semidirect
29. #10605835C2semidirect
30. #10605087C2semidirect
31. C2×#64958C2semidirect
34. C2×C4×C5×D4C22semidirect
39. C2×#4081C22semidirect
43. C22×#683C22semidirect
44. C22×C4×Dic5C22semidirect
45. C2×#4043C22semidirect
47. C2×#4031C22semidirect
49. C2×#4025C22semidirect
50. C2×#4024C22semidirect
51. C5×#400C22semidirect
52. C5×#397C22semidirect
53. C5×#397C22semidirect
54. C5×#394C22semidirect
55. C5×#388C22semidirect
56. C5×#387C22semidirect
59. C5×#386C22semidirect
60. C5×#386C22semidirect
61. C5×#385C22semidirect
62. C5×#381C22semidirect
63. C2×C5×#95C22semidirect
65. #65511C22semidirect
66. #65511C22semidirect
69. #65509C22semidirect
74. #65502C22semidirect
75. #65502C22semidirect
76. #65501C22semidirect
77. #65501C22semidirect
78. #65499C22semidirect
79. C4×C22⋊Dic5C22semidirect
80. C2×#3963C22semidirect
83. #65283C22semidirect
84. #65281C22semidirect
85. #65281C22semidirect
88. #65279C22semidirect
90. #65276C22semidirect
91. #65273C22semidirect
92. #65273C22semidirect
93. #65272C22semidirect
94. #65269C22semidirect
95. #65269C22semidirect
98. #65250C22semidirect
105. #65246C22semidirect
106. #65246C22semidirect
110. #65245C22semidirect
111. #65245C22semidirect
118. #65242C22semidirect
119. #65241C22semidirect
120. #65240C22semidirect
121. #65240C22semidirect
122. #65240C22semidirect
123. #65239C22semidirect
124. #65237C22semidirect
125. #65237C22semidirect
126. #65237C22semidirect
127. #65237C22semidirect
128. #65236C22semidirect
129. #65235C22semidirect
130. #65234C22semidirect
131. #65233C22semidirect
132. #65233C22semidirect
133. #65233C22semidirect
134. #65232C22semidirect
136. #65229C22semidirect
137. #65229C22semidirect
138. #65217C22semidirect
142. #64964C22semidirect
143. #64964C22semidirect
144. #64964C22semidirect
145. #64963C22semidirect
149. #64959C22semidirect
150. #64959C22semidirect
155. #64958C22semidirect
156. #64958C22semidirect
157. #64958C22semidirect
158. #64958C22semidirect
159. #64958C22semidirect
160. #64958C22semidirect
163. #64957C22semidirect
164. #64957C22semidirect
165. #64956C22semidirect
166. #64956C22semidirect
171. C5⋊#401C22semidirect
172. #64949C22semidirect
173. #64949C22semidirect
174. #64949C22semidirect
175. #64949C22semidirect
176. #64947C22semidirect
177. #64944C22semidirect
178. #64943C22semidirect
179. #64942C22semidirect
180. #64941C22semidirect
181. #64940C22semidirect
182. #64940C22semidirect
183. #64939C22semidirect
184. #64939C22semidirect
185. #64935C22semidirect
186. #64935C22semidirect
386. #2444D5semidirect
602. C2×C4×D4C2×D5semidirect
615. #400C2×D5semidirect
632. #397C2×D5semidirect
633. #397C2×D5semidirect
652. #394C2×D5semidirect
687. #388C2×D5semidirect
692. #387C2×D5semidirect
712. #386C2×D5semidirect
713. #386C2×D5semidirect
722. #385C2×D5semidirect
730. #381C2×D5semidirect
744. C2×#95C2×D5semidirect
1509. C5#36779semidirect

Maximal subgroups

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

subgroupindex
C5×#24442
#106144332
#106144062
#106141262
#106140862
#106100192
#106099962
#106094512
#106094352
#106093592
#106093282
#106088732
#106087922
#106076642
#106074132
#106071612
#106069112
#106066632
#106066502
#106066052
#106066012
#106066002
#106064702
#106064212
#106064172
#106063512
#106061442
#106058722
#106058352
#106050872
C2×#649582
#367795