Finite Group Databasebeta

← #12278422

Subgroups — #12278422

Order 1280.

3114 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66132C211yesmaximal, characteristic, complemented
2C2×#65920C211yesmaximal, characteristic, complemented
3C5×#2403C211yesmaximal, characteristic, complemented
4#10615779C211yesmaximal, characteristic, complemented
5#10615779C211yesmaximal, characteristic, complemented
6C2×#65509C211yesmaximal, characteristic, complemented
7#10614321C211yesmaximal, characteristic, complemented
8#10614318C211yesmaximal, characteristic, complemented
9#10614318C211yesmaximal, characteristic, complemented
10#10614316C211yesmaximal, characteristic, complemented
11#10614316C211yesmaximal, characteristic, complemented
12#10614312C211yesmaximal, characteristic, complemented
13Dic5×#120C211yesmaximal, characteristic, complemented
14#10608424C211yesmaximal, characteristic, complemented
15#10608423C211yesmaximal, characteristic, complemented
16#10608417C211yesmaximal, characteristic, complemented
17#10608413C211yesmaximal, characteristic, complemented
18#10608412C211yesmaximal, characteristic, complemented
19#10608409C211yesmaximal, characteristic, complemented
20#10608406C211yesmaximal, characteristic, complemented
21#10608399C211yesmaximal, characteristic, complemented
22#10606510C211yesmaximal, characteristic, complemented
23#10606506C211yesmaximal, characteristic, complemented
24#10606464C211yesmaximal, characteristic, complemented
25#10606456C211yesmaximal, characteristic, complemented
26#10606443C211yesmaximal, characteristic, complemented
27#10606437C211yesmaximal, characteristic, complemented
28#10606397C211yesmaximal, characteristic, complemented
29#10606394C211yesmaximal, characteristic, complemented
30#10605559C211yesmaximal, characteristic, complemented
31#10605552C211yesmaximal, characteristic, complemented
32C23×C5×D4C2211yescharacteristic
33C23×C5×D4C2211yescharacteristic
34C24×Dic5C2211yescharacteristic, complemented
35C22×#711C2211yescharacteristic, complemented
36C2×C5×#120C2211yescharacteristic
37C2×C5×#120C2211yescharacteristic
38C2×C5×#120C2211yescharacteristic
39C2×C5×#120C2211yescharacteristic
40C2×#4099C2211yescharacteristic
41C2×#4099C2211yescharacteristic, complemented
42C2×#4099C2211yescharacteristic, complemented
43C22×C22⋊Dic5C2211yescharacteristic
44C22×C22⋊Dic5C2211yescharacteristic
45C22×C22⋊Dic5C2211yescharacteristic
46C22×C22⋊Dic5C2211yescharacteristic, complemented
47C22×C22⋊Dic5C2211yescharacteristic, complemented
48C22×C22⋊Dic5C2211yescharacteristic, complemented
49C2×#4085C2211yescharacteristic
50C2×#4085C2211yescharacteristic
51C2×#4085C2211yescharacteristic, complemented
52C2×#4085C2211yescharacteristic, complemented
53C2×#4085C2211yescharacteristic, complemented
54C2×#4085C2211yescharacteristic, complemented
55#66132—28no—
56C2×#4081C2211yescharacteristic, complemented
57C2×#4081C2211yescharacteristic, complemented
58C2×D4×Dic5C2211yescharacteristic
59C2×D4×Dic5C2211yescharacteristic
60C2×D4×Dic5C2211yescharacteristic
61C2×D4×Dic5C2211yescharacteristic
62C2×D4×Dic5C2211yescharacteristic, complemented
63C2×D4×Dic5C2211yescharacteristic, complemented
64C2×D4×Dic5C2211yescharacteristic, complemented
65C2×D4×Dic5C2211yescharacteristic, complemented
66C2×D4×Dic5C2211yescharacteristic, complemented
67C2×D4×Dic5C2211yescharacteristic, complemented
68C2×D4×Dic5C2211yescharacteristic, complemented
69C2×#4072C2211yescharacteristic, complemented
70C2×#4072C2211yescharacteristic, complemented
71#65920—28no—
72C2×#4032C2211yescharacteristic, complemented
73C2×#4027C2211yescharacteristic, complemented
74C2×#4027C2211yescharacteristic, complemented
75C2×#4024C2211yescharacteristic, complemented
76C2×#4024C2211yescharacteristic, complemented
77C2×#4024C2211yescharacteristic, complemented
78C2×#4023C2211yescharacteristic, complemented
79C5×#392C2211yescharacteristic
80C5×#392C2211yescharacteristic
81C5×#392C2211yescharacteristic
82C5×#392C2211yescharacteristic
83C5×#386C2211yescharacteristic
84C5×#386C2211yescharacteristic
85C5×#386C2211yescharacteristic
86C5×#386C2211yescharacteristic
87C5×#379C2211yescharacteristic
88#65536C2211yescharacteristic, complemented
89#65536C2211yescharacteristic, complemented
90#65512C2211yescharacteristic
91#65512C2211yescharacteristic
92#65512C2211yescharacteristic, complemented
93#65512C2211yescharacteristic, complemented
94#65512C2211yescharacteristic, complemented
95#65511C2211yescharacteristic
96#65511C2211yescharacteristic
97#65511C2211yescharacteristic, complemented
98#65511C2211yescharacteristic, complemented
99#65511C2211yescharacteristic, complemented
100#65511C2211yescharacteristic, complemented
101#65511C2211yescharacteristic, complemented
102#65509C2211yescharacteristic
103#65509C2211yescharacteristic
104#65509C2211yescharacteristic
105#65509C2211yescharacteristic
106#65509C2211yescharacteristic
107#65509C2211yescharacteristic
108#65509C2211yescharacteristic, complemented
109#65509C2211yescharacteristic, complemented
110#65509C2211yescharacteristic, complemented
111#65509C2211yescharacteristic, complemented
112#65509C2211yescharacteristic, complemented
113#65509C2211yescharacteristic, complemented
114#65509C2211yescharacteristic, complemented
115#65509C2211yescharacteristic, complemented
116#65509C2211yescharacteristic, complemented
117#65509C2211yescharacteristic, complemented
118#65502C2211yescharacteristic, complemented
119#65502C2211yescharacteristic, complemented
120#65499C2211yescharacteristic, complemented
121#65499C2211yescharacteristic, complemented
122C2×#3963C2211yescharacteristic, complemented
123C2×#3963C2211yescharacteristic, complemented
124#65250C2211yescharacteristic, complemented
125#65250C2211yescharacteristic, complemented
126#65247C2211yescharacteristic, complemented
127#65247C2211yescharacteristic, complemented
128#65247C2211yescharacteristic, complemented
129#65246C2211yescharacteristic, complemented
130#65246C2211yescharacteristic, complemented
131#65246C2211yescharacteristic, complemented
132#65245C2211yescharacteristic, complemented
133#65245C2211yescharacteristic, complemented
134#65245C2211yescharacteristic, complemented
135#65242C2211yescharacteristic, complemented
136#65242C2211yescharacteristic, complemented
137#65239C2211yescharacteristic, complemented
138#65239C2211yescharacteristic, complemented
139#65239C2211yescharacteristic, complemented
140#65239C2211yescharacteristic, complemented
141#65238C2211yescharacteristic, complemented
142#65238C2211yescharacteristic, complemented
143#65237C2211yescharacteristic, complemented
144#65237C2211yescharacteristic, complemented
145#65237C2211yescharacteristic, complemented
146#65237C2211yescharacteristic, complemented
147#65236C2211yescharacteristic, complemented
148#65236C2211yescharacteristic, complemented
149#65235C2211yescharacteristic, complemented
150#65235C2211yescharacteristic, complemented
151#65235C2211yescharacteristic, complemented
152#65235C2211yescharacteristic, complemented
153#65235C2211yescharacteristic, complemented
154#65234C2211yescharacteristic, complemented
155#65234C2211yescharacteristic, complemented
156#65234C2211yescharacteristic, complemented
157#65234C2211yescharacteristic, complemented
158#65234C2211yescharacteristic, complemented
159#65233C2211yescharacteristic, complemented
160#65233C2211yescharacteristic, complemented
161#65233C2211yescharacteristic, complemented
162#65233C2211yescharacteristic, complemented
163#65233C2211yescharacteristic, complemented
164#65232C2211yescharacteristic, complemented
165#65232C2211yescharacteristic, complemented
166#65231C2211yescharacteristic, complemented
167#65231C2211yescharacteristic, complemented
168#65231C2211yescharacteristic, complemented
169#65231C2211yescharacteristic, complemented
170C22⋊C4×Dic5C2211yescharacteristic, complemented
171C22⋊C4×Dic5C2211yescharacteristic, complemented
172C22⋊C4×Dic5C2211yescharacteristic, complemented
173#64963C2211yescharacteristic, complemented
174#64959C2211yescharacteristic, complemented
175#64958C2211yescharacteristic, complemented
176#64957C2211yescharacteristic, complemented
177#64949C2211yescharacteristic, complemented
178#64948C2211yescharacteristic, complemented
179#64946C2211yescharacteristic, complemented
180#64944C2211yescharacteristic, complemented
181#64944C2211yescharacteristic, complemented
182#64943C2211yescharacteristic, complemented
183#64942C2211yescharacteristic, complemented
184#64942C2211yescharacteristic, complemented
185#64941C2211yescharacteristic, complemented
186#64940C2211yescharacteristic, complemented
187#64939C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#35352—51nomaximal, Sylow
190C25×C5C2311yescharacteristic
191C25×C5C2311yescharacteristic
192C25×C5C2311yescharacteristic
193C22×C5×D4—24no—
194C22×C5×D4—24no—
195C22×C5×D4—24no—
196C22×C5×D4—24no—
197C22×C5×D4—42no—
198C22×C5×D4—42no—
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C22×C5×D4C2311yescharacteristic
202C22×C5×D4C2311yescharacteristic
203C22×C5×D4C2311yescharacteristic
204C22×C5×D4C2311yescharacteristic
205C22×C5×D4C2311yescharacteristic
206C22×C5×D4C2311yescharacteristic
207C22×C5×D4C2311yescharacteristic
208C22×C5×D4C2311yescharacteristic
209C22×C5×D4C2311yescharacteristic
210C22×C5×D4C2311yescharacteristic
211C23×C4×C5C2311yescharacteristic
212C23×C4×C5C2311yescharacteristic
213C22×C22⋊D5C2311yescharacteristic
214C22×C22⋊D5C2311yescharacteristic
215C22×C22⋊D5C2311yescharacteristic
216C22×C22⋊D5C2311yescharacteristic
217C22×C22⋊D5C2311yescharacteristic
218C22×C22⋊D5C2311yescharacteristic
219C22×C22⋊D5C2311yescharacteristic
220C23×Dic5—24no—
221C23×Dic5—42no—
222C23×Dic5—42no—
223C23×Dic5C2311yescharacteristic
224C23×Dic5C2311yescharacteristic
225C23×Dic5C2311yescharacteristic
226C23×Dic5C2311yescharacteristic
227C23×Dic5C2311yescharacteristic
228C23×Dic5C2311yescharacteristic
229C23×Dic5C2311yescharacteristic
230C23×Dic5C2311yescharacteristic
231C23×Dic5C2311yescharacteristic
232C23×Dic5C2311yescharacteristic
233C23×Dic5C2311yescharacteristic
234C23×Dic5C2311yescharacteristic
235C23×Dic5C2311yescharacteristic
236C23×Dic5C2311yescharacteristic
237C2×#711—24no—
238C2×#711—42no—
239C2×#711—42no—
240C22×C4×D5C2311yescharacteristic
241C22×Dic10C2311yescharacteristic
242C5×#120—24no—
243C5×#120—24no—
244C5×#120—42no—
245C5×#120—42no—
246C2×C5×C22⋊C4C2311yescharacteristic
247C2×C5×C22⋊C4C2311yescharacteristic
248C2×C5×C22⋊C4C2311yescharacteristic
249C2×C5×C22⋊C4C2311yescharacteristic
250C2×C5×C22⋊C4C2311yescharacteristic
251C2×C5×C22⋊C4C2311yescharacteristic
252C2×C5×C22⋊C4C2311yescharacteristic
253C2×C5×C22⋊C4C2311yescharacteristic
254C2×C5×C22⋊C4C2311yescharacteristic
255C2×C5×C22⋊C4C2311yescharacteristic
256C2×C5×C22⋊C4C2311yescharacteristic
257C2×C5×C22⋊C4C2311yescharacteristic
258C2×C5×C22⋊C4C2311yescharacteristic
259C2×C5×C22⋊C4C2311yescharacteristic
260#4099—24no—
261#4099—24no—
262#4099—42no—
263C2×C22⋊Dic5—24no—
264C2×C22⋊Dic5—24no—
265C2×C22⋊Dic5—24no—
266C2×C22⋊Dic5—24no—
267C2×C22⋊Dic5—42no—
268C2×C22⋊Dic5—42no—
269C2×C22⋊Dic5C2311yescharacteristic
270C2×C22⋊Dic5C2311yescharacteristic
271C2×C22⋊Dic5C2311yescharacteristic
272C2×C22⋊Dic5C2311yescharacteristic
273C2×C22⋊Dic5C2311yescharacteristic
274C2×C22⋊Dic5C2311yescharacteristic
275C2×C22⋊Dic5C2311yescharacteristic
276C2×C22⋊Dic5C2311yescharacteristic
277C2×C22⋊Dic5C2311yescharacteristic
278C2×C22⋊Dic5C2311yescharacteristic
279C2×C22⋊Dic5C2311yescharacteristic
280C2×C22⋊Dic5C2311yescharacteristic
281C2×C22⋊Dic5C2311yescharacteristic
282C2×C22⋊Dic5C2311yescharacteristic
283C2×C22⋊Dic5C2311yescharacteristic
284C2×C22⋊Dic5C2311yescharacteristic
285C2×C22⋊Dic5C2311yescharacteristic
286C2×C22⋊Dic5C2311yescharacteristic
287C2×C22⋊Dic5C2311yescharacteristic
288C2×C22⋊Dic5C2311yescharacteristic
289C2×C22⋊Dic5C2311yescharacteristic
290C2×C22⋊Dic5C2311yescharacteristic
291C2×C22⋊Dic5C2311yescharacteristic
292C2×C22⋊Dic5C2311yescharacteristic
293C2×C22⋊Dic5C2311yescharacteristic
294C2×C22⋊Dic5C2311yescharacteristic
295C2×C22⋊Dic5C2311yescharacteristic
296C2×C22⋊Dic5C2311yescharacteristic
297C2×C22⋊Dic5C2311yescharacteristic
298C2×C22⋊Dic5C2311yescharacteristic
299C2×C22⋊Dic5C2311yescharacteristic
300C2×C22⋊Dic5C2311yescharacteristic
301C2×C22⋊Dic5C2311yescharacteristic
302C2×C22⋊Dic5C2311yescharacteristic
303C2×C22⋊Dic5C2311yescharacteristic
304#4085—24no—
305#4085—24no—
306#4085—24no—
307#4085—42no—
308#4085—42no—
309#4085—42no—
310#4081—24no—
311#4081—42no—
312D4×Dic5—24no—
313D4×Dic5—24no—
314D4×Dic5—24no—
315D4×Dic5—24no—
316D4×Dic5—24no—
317D4×Dic5—24no—
318D4×Dic5—24no—
319D4×Dic5—24no—
320D4×Dic5—42no—
321D4×Dic5—42no—
322D4×Dic5D418yescomplemented
323C2×#685C2311yescharacteristic
324C2×#685C2311yescharacteristic
325C2×#685C2311yescharacteristic
326C2×#685C2311yescharacteristic
327C2×#685C2311yescharacteristic
328C2×#685C2311yescharacteristic
329C2×#685C2311yescharacteristic
330#4072—24no—
331#4072—24no—
332C2×C4⋊Dic5C2311yescharacteristic
333C2×C4⋊Dic5C2311yescharacteristic
334C2×C4⋊Dic5C2311yescharacteristic
335C2×C4⋊Dic5C2311yescharacteristic
336C2×C4⋊Dic5C2311yescharacteristic
337C2×C4⋊Dic5C2311yescharacteristic
338C2×C4⋊Dic5C2311yescharacteristic
339C2×#683C2311yescharacteristic
340C2×#683C2311yescharacteristic
341C2×#683C2311yescharacteristic
342C2×#683C2311yescharacteristic
343C2×#683C2311yescharacteristic
344C2×#683C2311yescharacteristic
345C2×#683C2311yescharacteristic
346C2×#683C2311yescharacteristic
347C2×#683C2311yescharacteristic
348C2×#683C2311yescharacteristic
349C2×#683C2311yescharacteristic
350C2×#683C2311yescharacteristic
351C2×#683C2311yescharacteristic
352C2×C4×Dic5C2311yescharacteristic
353C2×C4×Dic5C2311yescharacteristic
354C2×C4×Dic5C2311yescharacteristic
355C2×C4×Dic5C2311yescharacteristic
356C2×C4×Dic5C2311yescharacteristic
357C2×C4×Dic5C2311yescharacteristic
358C2×C4×Dic5C2311yescharacteristic
359#4032—24no—
360#4027—24no—
361#4027—24no—
362#4024—24no—
363#4024—24no—
364#4024—42no—
365#4023—24no—
366C5×#95C2311yescharacteristic
367C5×#95C2311yescharacteristic
368C5×#95C2311yescharacteristic
369C5×#95C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392#3963C2311yescharacteristic
393#3963C2311yescharacteristic
394#3963C2311yescharacteristic
395#3963C2311yescharacteristic
396#3963C2311yescharacteristic
397#3963C2311yescharacteristic
398C2×#525—51no—
399C2×#518—51no—
400#2609—51no—
401#2600—51no—
402#2598—51no—
403#2598—51no—
404#2535—51no—
405#2534—51no—
406#2477—51no—
407#2471—51no—
408#2464—51no—
409#2463—51no—
410#2457—51no—
411#2456—51no—
412#2450—51no—
413#2444—51no—
414#2437—51no—
415#2424—51no—
416#2424—51no—
417#2418—51no—
418#2418—51no—
419#2410—51no—
420#2410—51no—
421#2407—51no—
422#2404—51no—
423#2403D511yescharacteristic, complemented
424#2325—51no—
425#2321—51no—
426#2318—51no—
427C4×#120—51no—
428C2×#386—51no—
429C24×C5—22no—
430C24×C5—22no—
431C24×C5—22no—
432C24×C5—22no—
433C24×C5—22no—
434C24×C5—22no—
435C24×C5—22no—
436C24×C5—22no—
437C24×C5—22no—
438C24×C5—22no—
439C24×C5—41no—
440C24×C5—41no—
441C24×C5—41no—
442C24×C5—41no—
443C24×C5—41no—
444C24×C5—41no—
445C24×C5—41no—
446C24×C5—41no—
447C24×C5—41no—
448C24×C5—41no—
449C24×C5#4114yescomplemented
450C24×C5C2411yescharacteristic
451C24×C5C2411yescharacteristic
452C24×C5C2411yescharacteristic
453C24×C5C2411yescharacteristic
454C24×C5C2411yescharacteristic
455C24×C5C2411yescharacteristic
456C24×C5C2411yescharacteristic
457C23×D5C2411yescharacteristic
458C2×C5×D4—232no—
459C2×C5×D4—22no—
460C2×C5×D4—22no—
461C2×C5×D4—22no—
462C2×C5×D4—22no—
463C2×C5×D4—22no—
464C2×C5×D4—22no—
465C2×C5×D4—22no—
466C2×C5×D4—22no—
467C2×C5×D4—22no—
468C2×C5×D4—22no—
469C2×C5×D4—22no—
470C2×C5×D4—22no—
471C2×C5×D4—22no—
472C2×C5×D4—22no—
473C2×C5×D4—22no—
474C2×C5×D4—22no—
475C2×C5×D4—22no—
476C2×C5×D4—22no—
477C2×C5×D4—22no—
478C2×C5×D4—22no—
479C2×C5×D4—22no—
480C2×C5×D4—22no—
481C2×C5×D4—22no—
482C2×C5×D4—22no—
483C2×C5×D4—22no—
484C2×C5×D4—22no—
485C2×C5×D4—41no—
486C2×C5×D4—41no—
487C2×C5×D4—41no—
488C2×C5×D4—41no—
489C2×C5×D4—41no—
490C2×C5×D4—41no—
491C2×C5×D4—41no—
492C2×C5×D4—41no—
493C2×C5×D4—416no—
494C2×C5×D4C2×D414yes—
495C2×C5×D4#4114yescomplemented
496C22×C4×C5—22no—
497C22×C4×C5—22no—
498C22×C4×C5—22no—
499C22×C4×C5—22no—
500C22×C4×C5—41no—
501C22×C4×C5—41no—
502C22×C4×C5C2411yescharacteristic
503C22×C4×C5C2411yescharacteristic
504C22×C4×C5C2411yescharacteristic
505C22×C4×C5C2411yescharacteristic
506C22×C4×C5C2411yescharacteristic
507C22×C4×C5C2411yescharacteristic
508C22×C4×C5C2411yescharacteristic
509C22×C4×C5C2411yescharacteristic
510C2×C22⋊D5—22no—
511C2×C22⋊D5—22no—
512C2×C22⋊D5—22no—
513C2×C22⋊D5—22no—
514C2×C22⋊D5—22no—
515C2×C22⋊D5—22no—
516C2×C22⋊D5—22no—
517C2×C22⋊D5—22no—
518C2×C22⋊D5—22no—
519C2×C22⋊D5—22no—
520C2×C22⋊D5—22no—
521C2×C22⋊D5—22no—
522C2×C22⋊D5—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—22no—
534C22×Dic5—22no—
535C22×Dic5—22no—
536C22×Dic5—22no—
537C22×Dic5—22no—
538C22×Dic5—22no—
539C22×Dic5—22no—
540C22×Dic5—22no—
541C22×Dic5—22no—
542C22×Dic5—22no—
543C22×Dic5—22no—
544C22×Dic5—22no—
545C22×Dic5—22no—
546C22×Dic5—22no—
547C22×Dic5—22no—
548C22×Dic5—41no—
549C22×Dic5—41no—
550C22×Dic5—41no—
551C22×Dic5—41no—
552C22×Dic5—41no—
553C22×Dic5—41no—
554C22×Dic5—41no—
555C22×Dic5—41no—
556C22×Dic5—41no—
557C22×Dic5—41no—
558C22×Dic5—41no—
559C22×Dic5—41no—
560C22×Dic5—41no—
561C22×Dic5—41no—
562C22×Dic5—41no—
563C22×Dic5—41no—
564C22×Dic5—41no—
565C22×Dic5—41no—
566C22×Dic5—41no—
567C22×Dic5—41no—
568C22×Dic5—41no—
569C22×Dic5—41no—
570C22×Dic5—41no—
571C22×Dic5—416no—
572C22×Dic5C2×D414yes—
573C22×Dic5C2×D414yescomplemented
574C22×Dic5C2411yescharacteristic
575C22×Dic5C2411yescharacteristic
576C22×Dic5C2411yescharacteristic
577C22×Dic5C2411yescharacteristic
578C22×Dic5C2411yescharacteristic
579C22×Dic5C2411yescharacteristic
580C22×Dic5C2411yescharacteristic
581C22×Dic5C2411yescharacteristic
582C22×Dic5C2411yescharacteristic
583C22×Dic5C2411yescharacteristic
584C22×Dic5C2411yescharacteristic
585C22×Dic5C2411yescharacteristic
586C22×Dic5C2411yescharacteristic
587C22×Dic5C2411yescharacteristic
588C22×Dic5C2411yescharacteristic
589#711—416no—
590C2×C4×D5—22no—
591C2×C4×D5—41no—
592C2×C4×D5—41no—
593C2×Dic10—22no—
594C2×Dic10—22no—
595C2×Dic10—41no—
596C5×C22⋊C4—22no—
597C5×C22⋊C4—22no—
598C5×C22⋊C4—22no—
599C5×C22⋊C4—22no—
600C5×C22⋊C4—22no—
601C5×C22⋊C4—22no—
602C5×C22⋊C4—41no—
603C5×C22⋊C4—41no—
604C5×C22⋊C4—41no—
605C5×C22⋊C4—41no—
606C5×C22⋊C4—41no—
607C5×C22⋊C4—41no—
608C5×C22⋊C4—41no—
609C5×C22⋊C4—41no—
610C22⋊Dic5—22no—
611C22⋊Dic5—22no—
612C22⋊Dic5—22no—
613C22⋊Dic5—22no—
614C22⋊Dic5—22no—
615C22⋊Dic5—22no—
616C22⋊Dic5—22no—
617C22⋊Dic5—22no—
618C22⋊Dic5—22no—
619C22⋊Dic5—22no—
620C22⋊Dic5—22no—
621C22⋊Dic5—22no—
622C22⋊Dic5—22no—
623C22⋊Dic5—22no—
624C22⋊Dic5—22no—
625C22⋊Dic5—22no—
626C22⋊Dic5—22no—
627C22⋊Dic5—22no—
628C22⋊Dic5—22no—
629C22⋊Dic5—22no—
630C22⋊Dic5—22no—
631C22⋊Dic5—22no—
632C22⋊Dic5—22no—
633C22⋊Dic5—22no—
634C22⋊Dic5—41no—
635C22⋊Dic5—41no—
636C22⋊Dic5—41no—
637C22⋊Dic5—41no—
638C22⋊Dic5—41no—
639C22⋊Dic5—41no—
640C22⋊Dic5—41no—
641C22⋊Dic5—41no—
642C22⋊Dic5—41no—
643C22⋊Dic5C2×D414yes—
644C22⋊Dic5C2×D414yescomplemented
645#685—22no—
646#685—22no—
647#685—22no—
648#685—41no—
649#685—41no—
650#685—41no—
651#685—41no—
652C4⋊Dic5—22no—
653C4⋊Dic5—22no—
654C4⋊Dic5—22no—
655C4⋊Dic5—22no—
656C4⋊Dic5—22no—
657C4⋊Dic5—41no—
658C4⋊Dic5C2×D414yescomplemented
659#683—22no—
660#683—22no—
661#683—22no—
662#683—22no—
663#683—22no—
664#683—41no—
665#683—41no—
666#683—41no—
667#683—41no—
668#683—41no—
669#683—41no—
670#683—41no—
671#683—41no—
672C4×Dic5—22no—
673C4×Dic5—22no—
674C4×Dic5—22no—
675C4×Dic5—22no—
676C4×Dic5—41no—
677C4×Dic5—41no—
678C4×Dic5C2×D414yescomplemented
679C22×#41—51no—
680C23×D4C2×D511yescharacteristic
681C23×D4C2×D511yescharacteristic
682C24×C4—51no—
683#525—108no—
684C2×#123—51no—
685C2×#123—51no—
686C2×#123—51no—
687C2×C22⋊Q8—51no—
688C2×C22⋊Q8—51no—
689C2×C22⋊Q8—51no—
690C2×#121—51no—
691C2×#121—51no—
692C2×#121—51no—
693C2×#121—51no—
694C2×#121—51no—
695C2×#121—51no—
696C2×#120—51no—
697C2×#120—51no—
698C2×#120—51no—
699C2×#120C2×D511yescharacteristic
700C2×#120C2×D511yescharacteristic
701C2×#120C2×D511yescharacteristic
702C2×#120C2×D511yescharacteristic
703#518—108no—
704C2×C4×D4—51no—
705C2×C4×D4—51no—
706C2×C4×D4—51no—
707C2×C4×D4—51no—
708C2×C4×D4—51no—
709C2×C4×D4—51no—
710C2×C4×D4—51no—
711C2×C4×D4—51no—
712C2×C4×D4—51no—
713C2×C4×D4—51no—
714C2×C4×D4—51no—
715C2×C4×D4—51no—
716C2×C4×D4—51no—
717C2×#117—51no—
718C2×#117—51no—
719C2×#117—51no—
720C22×C22⋊C4—51no—
721C22×C22⋊C4—51no—
722C22×C22⋊C4—51no—
723C22×C22⋊C4—51no—
724C22×C22⋊C4—51no—
725C22×C22⋊C4—51no—
726#400—51no—
727#400—51no—
728#399—51no—
729#399—51no—
730#398—51no—
731#397—51no—
732#397—51no—
733#397—51no—
734#396—51no—
735#396—51no—
736#396—51no—
737#396—51no—
738#394—51no—
739#394—51no—
740#394—51no—
741#394—51no—
742#394—51no—
743#394—51no—
744#394—51no—
745#394—51no—
746#394—51no—
747#393—51no—
748#393—51no—
749#392—51no—
750#392—51no—
751#392—51no—
752#392—51no—
753#392—51no—
754#392C2×D511yescharacteristic
755#392C2×D511yescharacteristic
756#392C2×D511yescharacteristic
757#392C2×D511yescharacteristic
758#391—51no—
759#390—51no—
760#390—51no—
761#390—51no—
762#388—51no—
763#388—51no—
764#388—51no—
765#388—51no—
766#388—51no—
767#388—51no—
768#388—51no—
769#388—51no—
770#388—51no—
771#388—51no—
772#388—51no—
773#388—51no—
774#387—51no—
775#387—51no—
776#387—51no—
777#387—51no—
778#387—51no—
779#387—51no—
780#386—51no—
781#386—51no—
782#386—51no—
783#386—51no—
784#386—51no—
785#386—51no—
786#386—51no—
787#386—51no—
788#386—51no—
789#386—51no—
790#386—51no—
791#386—51no—
792#386—51no—
793#386—51no—
794#386—51no—
795#386—51no—
796#386—51no—
797#386—51no—
798#386—51no—
799#386—51no—
800#386—51no—
801#386—51no—
802#386—51no—
803#386—51no—
804#386C2×D511yescharacteristic
805#386C2×D511yescharacteristic
806#386C2×D511yescharacteristic
807#386C2×D511yescharacteristic
808#385—51no—
809#385—51no—
810#385—51no—
811#385—51no—
812#385—51no—
813#385—51no—
814#385—51no—
815#385—51no—
816#385—51no—
817#385—51no—
818#385—51no—
819#385—51no—
820#383—51no—
821#382—51no—
822#381—51no—
823#381—51no—
824#380—51no—
825#380—51no—
826#380—51no—
827#380—51no—
828#379—51no—
829#379—51no—
830#379C2×D511yescharacteristic
831C4×C22⋊C4—51no—
832C4×C22⋊C4—51no—
833C4×C22⋊C4—51no—
834C2×#95—51no—
835C2×#95—51no—
836C23×C5—21no—
837C23×C5—21no—
838C23×C5—21no—
839C23×C5—21no—
840C23×C5—28no—
841C23×C5—28no—
842C23×C5—21no—
843C23×C5—21no—
844C23×C5—21no—
845C23×C5—21no—
846C23×C5—21no—
847C23×C5—21no—
848C23×C5—21no—
849C23×C5—21no—
850C23×C5—21no—
851C23×C5—21no—
852C23×C5—21no—
853C23×C5—21no—
854C23×C5—21no—
855C23×C5—21no—
856C23×C5—21no—
857C23×C5—21no—
858C23×C5—21no—
859C23×C5—21no—
860C23×C5—21no—
861C23×C5—21no—
862C23×C5—21no—
863C23×C5—21no—
864C23×C5—21no—
865C23×C5—21no—
866C23×C5—21no—
867C23×C5—21no—
868C23×C5—21no—
869C23×C5—21no—
870C23×C5—21no—
871C23×C5—21no—
872C23×C5—21no—
873C23×C5—21no—
874C23×C5—21no—
875C23×C5—21no—
876C23×C5—21no—
877C23×C5—21no—
878C23×C5—28no—
879C23×C5—44no—
880C23×C5—44no—
881C23×C5—44no—
882C23×C5—44no—
883C23×C5—44no—
884C23×C5—44no—
885C23×C5—44no—
886C23×C5—44no—
887C23×C5—82no—
888C23×C5—82no—
889C23×C5—82no—
890C23×C5—82no—
891C23×C5—82no—
892C23×C5—82no—
893C23×C5—82no—
894C23×C5—82no—
895C23×C5—82no—
896C23×C5—82no—
897C23×C5C22×D412yes—
898C23×C5C22×D412yes—
899C23×C5C2×#4112yes—
900C23×C5C2×#4112yes—
901C23×C5C2×#4112yes—
902C23×C5C2×#4112yes—
903C23×C5C2×#4112yes—
904C23×C5H(5,𝔽2)12yes—
905C23×C5H(5,𝔽2)12yes—
906C23×C5C2511yescharacteristic
907C22×D5—21no—
908C22×D5—21no—
909C22×D5—21no—
910C22×D5—21no—
911C22×D5—21no—
912C22×D5—21no—
913C22×D5—21no—
914C5×D4—28no—
915C5×D4—28no—
916C5×D4—28no—
917C5×D4—28no—
918C5×D4—44no—
919C5×D4—44no—
920C5×D4—44no—
921C5×D4—44no—
922C5×D4—44no—
923C5×D4—44no—
924C5×D4—44no—
925C5×D4—44no—
926C2×C4×C5—28no—
927C2×C4×C5—21no—
928C2×C4×C5—21no—
929C2×C4×C5—21no—
930C2×C4×C5—21no—
931C2×C4×C5—21no—
932C2×C4×C5—21no—
933C2×C4×C5—21no—
934C2×C4×C5—21no—
935C2×C4×C5—21no—
936C2×C4×C5—21no—
937C2×C4×C5—21no—
938C2×C4×C5—21no—
939C2×C4×C5—21no—
940C2×C4×C5—21no—
941C2×C4×C5—21no—
942C2×C4×C5—21no—
943C2×C4×C5—21no—
944C2×C4×C5—21no—
945C2×C4×C5—21no—
946C2×C4×C5—21no—
947C2×C4×C5—21no—
948C2×C4×C5—21no—
949C2×C4×C5—44no—
950C2×C4×C5C22×D412yes—
951C2×C4×C5C2×#4112yes—
952C22⋊D5—44no—
953C22⋊D5—44no—
954C22⋊D5—44no—
955C22⋊D5—44no—
956C22⋊D5—82no—
957C22⋊D5—82no—
958C22⋊D5—82no—
959C2×Dic5—28no—
960C2×Dic5—21no—
961C2×Dic5—21no—
962C2×Dic5—21no—
963C2×Dic5—21no—
964C2×Dic5—21no—
965C2×Dic5—21no—
966C2×Dic5—21no—
967C2×Dic5—21no—
968C2×Dic5—21no—
969C2×Dic5—21no—
970C2×Dic5—21no—
971C2×Dic5—21no—
972C2×Dic5—21no—
973C2×Dic5—21no—
974C2×Dic5—21no—
975C2×Dic5—21no—
976C2×Dic5—21no—
977C2×Dic5—21no—
978C2×Dic5—21no—
979C2×Dic5—21no—
980C2×Dic5—21no—
981C2×Dic5—21no—
982C2×Dic5—21no—
983C2×Dic5—21no—
984C2×Dic5—21no—
985C2×Dic5—21no—
986C2×Dic5—21no—
987C2×Dic5—21no—
988C2×Dic5—21no—
989C2×Dic5—21no—
990C2×Dic5—21no—
991C2×Dic5—21no—
992C2×Dic5—21no—
993C2×Dic5—21no—
994C2×Dic5—21no—
995C2×Dic5—21no—
996C2×Dic5—21no—
997C2×Dic5—21no—
998C2×Dic5—21no—
999C2×Dic5—21no—
1000C2×Dic5—44no—
1001C2×Dic5—44no—
1002C2×Dic5—44no—
1003C2×Dic5—44no—
1004C2×Dic5—44no—
1005C2×Dic5—44no—
1006C2×Dic5—82no—
1007C2×Dic5—82no—
1008C2×Dic5—82no—
1009C2×Dic5—82no—
1010C2×Dic5—82no—
1011C2×Dic5—82no—
1012C2×Dic5—82no—
1013C2×Dic5C22×D412yes—
1014C2×Dic5C22×D412yes—
1015C2×Dic5C22×D412yes—
1016C2×Dic5C22×D412yes—
1017C2×Dic5H(5,𝔽2)12yes—
1018C4×D5—44no—
1019Dic10—44no—
1020C25C22×D511yescharacteristic
1021C25C22×D511yescharacteristic
1022C25C22×D511yescharacteristic
1023C2×#41—104no—
1024C2×#41—202no—
1025C2×#41—202no—
1026C22×Q8—51no—
1027C22×D4—24no—
1028C22×D4—24no—
1029C22×D4—24no—
1030C22×D4—24no—
1031C22×D4—42no—
1032C22×D4—42no—
1033C22×D4—51no—
1034C22×D4—51no—
1035C22×D4—51no—
1036C22×D4—51no—
1037C22×D4—51no—
1038C22×D4—51no—
1039C22×D4—51no—
1040C22×D4C22×D511yescharacteristic
1041C22×D4C22×D511yescharacteristic
1042C22×D4C22×D511yescharacteristic
1043C22×D4C22×D511yescharacteristic
1044C22×D4C22×D511yescharacteristic
1045C22×D4C22×D511yescharacteristic
1046C22×D4C22×D511yescharacteristic
1047C22×D4C22×D511yescharacteristic
1048C22×D4C22×D511yescharacteristic
1049C22×D4C22×D511yescharacteristic
1050C22×D4C22×D511yescharacteristic
1051C22×D4C22×D511yescharacteristic
1052C23×C4—51no—
1053C23×C4—51no—
1054C23×C4—51no—
1055C23×C4—51no—
1056C23×C4—51no—
1057C23×C4—51no—
1058C23×C4—51no—
1059C23×C4—51no—
1060C23×C4—51no—
1061C23×C4—51no—
1062C23×C4—51no—
1063C23×C4—51no—
1064C23×C4—51no—
1065C23×C4—51no—
1066C23×C4—51no—
1067C23×C4—104no—
1068C23×C4—202no—
1069C23×C4—202no—
1070C23×C4C22×D511yescharacteristic
1071C23×C4C22×D511yescharacteristic
1072#123—104no—
1073#123—104no—
1074#123—202no—
1075C22⋊Q8—104no—
1076C22⋊Q8—104no—
1077C22⋊Q8—202no—
1078#121—104no—
1079#121—104no—
1080#121—104no—
1081#121—202no—
1082#121—202no—
1083#121—202no—
1084#120—24no—
1085#120—24no—
1086#120—42no—
1087#120—42no—
1088#120—104no—
1089#120—104no—
1090#120—202no—
1091C4×D4—58no—
1092C4×D4—104no—
1093C4×D4—104no—
1094C4×D4—104no—
1095C4×D4—104no—
1096C4×D4—104no—
1097C4×D4—104no—
1098C4×D4—104no—
1099C4×D4—104no—
1100C4×D4—104no—
1101C4×D4—104no—
1102C4×D4—202no—
1103C4×D4—202no—
1104#117—104no—
1105#117—104no—
1106#117—104no—
1107C2×C4⋊C4—51no—
1108C2×C4⋊C4—51no—
1109C2×C4⋊C4—51no—
1110C2×C4⋊C4—51no—
1111C2×C4⋊C4—51no—
1112C2×C4⋊C4—51no—
1113C2×C4⋊C4—51no—
1114C2×C4⋊C4—51no—
1115C2×C4⋊C4—51no—
1116C2×C4⋊C4—51no—
1117C2×C4⋊C4—51no—
1118C2×C4⋊C4—51no—
1119C2×C4⋊C4—51no—
1120C2×C4⋊C4—51no—
1121C2×C4⋊C4—51no—
1122C2×C4⋊C4—51no—
1123C2×C4⋊C4—51no—
1124C2×C4⋊C4—51no—
1125C2×C4⋊C4—51no—
1126C2×C4⋊C4—51no—
1127C2×C22⋊C4—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—51no—
1169C2×C22⋊C4—104no—
1170C2×C22⋊C4—104no—
1171C2×C22⋊C4—104no—
1172C2×C22⋊C4—104no—
1173C2×C22⋊C4—202no—
1174C2×C22⋊C4—202no—
1175C2×C22⋊C4C22×D511yescharacteristic
1176C2×C22⋊C4C22×D511yescharacteristic
1177C2×C22⋊C4C22×D511yescharacteristic
1178C2×C22⋊C4C22×D511yescharacteristic
1179C2×C22⋊C4C22×D511yescharacteristic
1180C2×C22⋊C4C22×D511yescharacteristic
1181C2×C22⋊C4C22×D511yescharacteristic
1182C2×C22⋊C4C22×D511yescharacteristic
1183C2×C22⋊C4C22×D511yescharacteristic
1184C2×C22⋊C4C22×D511yescharacteristic
1185C2×C22⋊C4C22×D511yescharacteristic
1186C2×C22⋊C4C22×D511yescharacteristic
1187C2×C22⋊C4C22×D511yescharacteristic
1188C2×C22⋊C4C22×D511yescharacteristic
1189C2×C42—51no—
1190C2×C42—51no—
1191C2×C42—51no—
1192C2×C42—51no—
1193C2×C42—51no—
1194C2×C42—51no—
1195C2×C42—51no—
1196#95—51no—
1197#95—51no—
1198#95—51no—
1199#95—51no—
1200#95—51no—
1201#95—51no—
1202#95—51no—
1203#95—51no—
1204#95—51no—
1205#95—51no—
1206#95—51no—
1207#95—51no—
1208#95—51no—
1209#95—51no—
1210#95—51no—
1211#95—51no—
1212#95—51no—
1213#95—51no—
1214#95—51no—
1215#95—51no—
1216#95—51no—
1217#95—51no—
1218#95—51no—
1219#95—51no—
1220#95—51no—
1221#95—51no—
1222#95—51no—
1223#95—51no—
1224#95C22×D511yescharacteristic
1225#95C22×D511yescharacteristic
1226#95C22×D511yescharacteristic
1227#95C22×D511yescharacteristic
1228C22×C5—22no—
1229C22×C5—22no—
1230C22×C5—22no—
1231C22×C5—22no—
1232C22×C5—22no—
1233C22×C5—22no—
1234C22×C5—22no—
1235C22×C5—22no—
1236C22×C5—22no—
1237C22×C5—22no—
1238C22×C5—22no—
1239C22×C5—22no—
1240C22×C5—22no—
1241C22×C5—22no—
1242C22×C5—22no—
1243C22×C5—22no—
1244C22×C5—22no—
1245C22×C5—22no—
1246C22×C5—22no—
1247C22×C5—22no—
1248C22×C5—22no—
1249C22×C5—22no—
1250C22×C5—22no—
1251C22×C5—22no—
1252C22×C5—416no—
1253C22×C5—41no—
1254C22×C5—41no—
1255C22×C5—41no—
1256C22×C5—41no—
1257C22×C5—41no—
1258C22×C5—41no—
1259C22×C5—41no—
1260C22×C5—41no—
1261C22×C5—41no—
1262C22×C5—41no—
1263C22×C5—41no—
1264C22×C5—41no—
1265C22×C5—41no—
1266C22×C5—41no—
1267C22×C5—41no—
1268C22×C5—41no—
1269C22×C5—41no—
1270C22×C5—41no—
1271C22×C5—41no—
1272C22×C5—41no—
1273C22×C5—41no—
1274C22×C5—41no—
1275C22×C5—41no—
1276C22×C5—41no—
1277C22×C5—88no—
1278C22×C5—88no—
1279C22×C5#52514yes—
1280C22×C5C23×D411yescharacteristic
1281C22×C5C22×#4111yescharacteristic
1282C22×C5C22×#4111yescharacteristic
1283C22×C5C2×H(5,𝔽2)11yescharacteristic
1284C22×C5C2×H(5,𝔽2)11yescharacteristic
1285C22×C5C2×H(5,𝔽2)11yescharacteristic
1286C22×C5#58511yescharacteristic
1287C2×D5—41no—
1288C2×D5—41no—
1289C2×D5—41no—
1290C2×D5—41no—
1291C2×D5—41no—
1292C2×D5—41no—
1293C2×D5—41no—
1294C4×C5—22no—
1295C4×C5—22no—
1296C4×C5—41no—
1297C4×C5—41no—
1298C4×C5—41no—
1299C4×C5—41no—
1300C4×C5—41no—
1301C4×C5—41no—
1302Dic5—22no—
1303Dic5—22no—
1304Dic5—22no—
1305Dic5—22no—
1306Dic5—22no—
1307Dic5—41no—
1308Dic5—41no—
1309Dic5—41no—
1310Dic5—41no—
1311Dic5—41no—
1312Dic5—41no—
1313Dic5—41no—
1314Dic5—41no—
1315Dic5—41no—
1316Dic5—41no—
1317C24—22no—
1318C24—22no—
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—22no—
1323C24—22no—
1324C24—22no—
1325C24—22no—
1326C24—22no—
1327C24—41no—
1328C24—41no—
1329C24—41no—
1330C24—41no—
1331C24—41no—
1332C24—41no—
1333C24—41no—
1334C24—41no—
1335C24—41no—
1336C24—41no—
1337C24—51no—
1338C24#71114yescomplemented
1339C24C23×D511yescharacteristic
1340C24C23×D511yescharacteristic
1341C24C23×D511yescharacteristic
1342C24C23×D511yescharacteristic
1343C24C23×D511yescharacteristic
1344C24C23×D511yescharacteristic
1345C24C23×D511yescharacteristic
1346#41—2016no—
1347C2×Q8—102no—
1348C2×Q8—102no—
1349C2×Q8—201no—
1350C2×D4—232no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—22no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—41no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—416no—
1386C2×D4—102no—
1387C2×D4—102no—
1388C2×D4—102no—
1389C2×D4—102no—
1390C2×D4—102no—
1391C2×D4—102no—
1392C2×D4—102no—
1393C2×D4—102no—
1394C2×D4—102no—
1395C2×D4—102no—
1396C2×D4—102no—
1397C2×D4—102no—
1398C2×D4—201no—
1399C2×D4—201no—
1400C2×D4—201no—
1401C2×D4—201no—
1402C2×D4—201no—
1403C2×D4—201no—
1404C2×D4—201no—
1405C2×D4—201no—
1406C2×D4—201no—
1407C2×D4D4×D514yes—
1408C2×D4#71114yescomplemented
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—51no—
1416C22×C4—51no—
1417C22×C4—51no—
1418C22×C4—51no—
1419C22×C4—51no—
1420C22×C4—54no—
1421C22×C4—54no—
1422C22×C4—51no—
1423C22×C4—51no—
1424C22×C4—51no—
1425C22×C4—51no—
1426C22×C4—51no—
1427C22×C4—51no—
1428C22×C4—51no—
1429C22×C4—51no—
1430C22×C4—51no—
1431C22×C4—51no—
1432C22×C4—102no—
1433C22×C4—102no—
1434C22×C4—102no—
1435C22×C4—102no—
1436C22×C4—102no—
1437C22×C4—102no—
1438C22×C4—102no—
1439C22×C4—102no—
1440C22×C4—102no—
1441C22×C4—102no—
1442C22×C4—102no—
1443C22×C4—102no—
1444C22×C4—102no—
1445C22×C4—102no—
1446C22×C4—102no—
1447C22×C4—102no—
1448C22×C4—102no—
1449C22×C4—102no—
1450C22×C4—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×C4—201no—
1461C22×C4—201no—
1462C22×C4—201no—
1463C22×C4—201no—
1464C22×C4—201no—
1465C22×C4—201no—
1466C22×C4—201no—
1467C22×C4—201no—
1468C22×C4—201no—
1469C22×C4—201no—
1470C22×C4—201no—
1471C22×C4—201no—
1472C22×C4—201no—
1473C22×C4—201no—
1474C22×C4—201no—
1475C22×C4—2016no—
1476C22×C4C23×D511yescharacteristic
1477C22×C4C23×D511yescharacteristic
1478C22×C4C23×D511yescharacteristic
1479C22×C4C23×D511yescharacteristic
1480C22×C4C23×D511yescharacteristic
1481C22×C4C23×D511yescharacteristic
1482C22×C4C23×D511yescharacteristic
1483C22×C4C23×D511yescharacteristic
1484C4⋊C4—54no—
1485C4⋊C4—102no—
1486C4⋊C4—102no—
1487C4⋊C4—102no—
1488C4⋊C4—102no—
1489C4⋊C4—102no—
1490C4⋊C4—102no—
1491C4⋊C4—102no—
1492C4⋊C4—102no—
1493C4⋊C4—102no—
1494C4⋊C4—102no—
1495C4⋊C4—201no—
1496C4⋊C4—201no—
1497C4⋊C4—201no—
1498C4⋊C4—201no—
1499C4⋊C4—201no—
1500C4⋊C4—201no—
1501C4⋊C4—201no—
1502C4⋊C4—201no—
1503C4⋊C4—201no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—41no—
1511C22⋊C4—41no—
1512C22⋊C4—41no—
1513C22⋊C4—41no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—54no—
1519C22⋊C4—54no—
1520C22⋊C4—102no—
1521C22⋊C4—102no—
1522C22⋊C4—102no—
1523C22⋊C4—102no—
1524C22⋊C4—102no—
1525C22⋊C4—102no—
1526C22⋊C4—102no—
1527C22⋊C4—102no—
1528C22⋊C4—102no—
1529C22⋊C4—102no—
1530C22⋊C4—102no—
1531C22⋊C4—102no—
1532C22⋊C4—102no—
1533C22⋊C4—102no—
1534C22⋊C4—102no—
1535C22⋊C4—102no—
1536C22⋊C4—102no—
1537C22⋊C4—102no—
1538C22⋊C4—102no—
1539C22⋊C4—102no—
1540C22⋊C4—102no—
1541C22⋊C4—102no—
1542C22⋊C4—102no—
1543C22⋊C4—102no—
1544C22⋊C4—102no—
1545C22⋊C4—102no—
1546C22⋊C4—102no—
1547C22⋊C4—201no—
1548C22⋊C4—201no—
1549C22⋊C4—201no—
1550C22⋊C4—201no—
1551C22⋊C4—201no—
1552C22⋊C4—201no—
1553C22⋊C4—201no—
1554C22⋊C4—201no—
1555C22⋊C4—201no—
1556C22⋊C4—201no—
1557C22⋊C4—201no—
1558C22⋊C4—201no—
1559C22⋊C4—201no—
1560C42—54no—
1561C42—102no—
1562C42—102no—
1563C42—102no—
1564C42—102no—
1565C42—201no—
1566C42—201no—
1567C2×C5—24no—
1568C2×C5—42no—
1569C2×C5—42no—
1570C2×C5—42no—
1571C2×C5—42no—
1572C2×C5—42no—
1573C2×C5—42no—
1574C2×C5C2×#52511yescharacteristic
1575C2×C5#348411yescharacteristic
1576C2×C5#348811yescharacteristic
1577C2×C5#349011yescharacteristic
1578C2×C5#350511yescharacteristic
1579C2×C5#351311yescharacteristic
1580C2×C5#351911yescharacteristic
1581D5—81no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—28no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—28no—
1625C23—44no—
1626C23—44no—
1627C23—44no—
1628C23—44no—
1629C23—44no—
1630C23—44no—
1631C23—44no—
1632C23—44no—
1633C23—82no—
1634C23—82no—
1635C23—82no—
1636C23—82no—
1637C23—82no—
1638C23—82no—
1639C23—82no—
1640C23—82no—
1641C23—82no—
1642C23—82no—
1643C23—101no—
1644C23—101no—
1645C23—101no—
1646C23—101no—
1647C23—101no—
1648C23—101no—
1649C23—101no—
1650C23C2×D4×D512yes—
1651C23C2×D4×D512yes—
1652C23C2×#71112yes—
1653C23C2×#71112yes—
1654C23C2×#71112yes—
1655C23C2×#71112yes—
1656C23C2×#71112yes—
1657C23#414412yes—
1658C23#414412yes—
1659C23C24×D511yescharacteristic
1660Q8—204no—
1661D4—28no—
1662D4—28no—
1663D4—28no—
1664D4—28no—
1665D4—44no—
1666D4—44no—
1667D4—44no—
1668D4—44no—
1669D4—44no—
1670D4—44no—
1671D4—44no—
1672D4—44no—
1673D4—204no—
1674D4—204no—
1675D4—204no—
1676D4—204no—
1677D4—402no—
1678D4—402no—
1679D4—402no—
1680C2×C4—28no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—44no—
1704C2×C4—52no—
1705C2×C4—52no—
1706C2×C4—52no—
1707C2×C4—52no—
1708C2×C4—52no—
1709C2×C4—108no—
1710C2×C4—101no—
1711C2×C4—101no—
1712C2×C4—101no—
1713C2×C4—101no—
1714C2×C4—101no—
1715C2×C4—101no—
1716C2×C4—101no—
1717C2×C4—101no—
1718C2×C4—101no—
1719C2×C4—101no—
1720C2×C4—101no—
1721C2×C4—101no—
1722C2×C4—101no—
1723C2×C4—101no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—204no—
1751C2×C4—204no—
1752C2×C4—204no—
1753C2×C4—204no—
1754C2×C4—204no—
1755C2×C4—204no—
1756C2×C4—204no—
1757C2×C4—402no—
1758C2×C4—402no—
1759C2×C4—402no—
1760C2×C4—402no—
1761C2×C4—402no—
1762C2×C4—402no—
1763C2×C4—402no—
1764C2×C4C2×D4×D512yes—
1765C2×C4C2×#71112yes—
1766C5#3535211yescharacteristic, complemented, Sylow
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—416no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
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—88no—
1817C22—88no—
1818C22—201no—
1819C22—201no—
1820C22—201no—
1821C22—201no—
1822C22—201no—
1823C22—201no—
1824C22—201no—
1825C22#6592014yes—
1826C22C22×D4×D511yescharacteristic
1827C22C22×#71111yescharacteristic
1828C22C22×#71111yescharacteristic
1829C22C2×#414411yescharacteristic
1830C22C2×#414411yescharacteristic
1831C22D5×H(5,𝔽2)11yescharacteristic
1832C22#6628511yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—102no—
1842C4—102no—
1843C4—102no—
1844C4—102no—
1845C4—102no—
1846C4—201no—
1847C4—201no—
1848C4—201no—
1849C4—201no—
1850C4—201no—
1851C4—201no—
1852C4—201no—
1853C4—201no—
1854C4—201no—
1855C4—201no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—42no—
1860C2—42no—
1861C2—42no—
1862C2—42no—
1863C2—401no—
1864C2C2×#6592011yescharacteristic
1865C2#1061781411yescharacteristic
1866C2#1061820011yescharacteristic
1867C2#1061850811yescharacteristic
1868C2#1061851011yescharacteristic
1869C2#1061851211yescharacteristic
1870C2#1061852111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2403C2
hypercenter#2403D5
hypocenterC5#35352
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2403

Complements

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

NH ≅ G/Ntype
1. C2×#66132C2semidirect
2. C2×#65920C2semidirect
3. C5×#2403C2semidirect
4. #10615779C2semidirect
5. #10615779C2semidirect
6. C2×#65509C2semidirect
7. #10614321C2semidirect
8. #10614318C2semidirect
9. #10614318C2semidirect
10. #10614316C2semidirect
11. #10614316C2semidirect
12. #10614312C2semidirect
13. Dic5×#120C2semidirect
14. #10608424C2semidirect
15. #10608423C2semidirect
16. #10608417C2semidirect
17. #10608413C2semidirect
18. #10608412C2semidirect
19. #10608409C2semidirect
20. #10608406C2semidirect
21. #10608399C2semidirect
22. #10606510C2semidirect
23. #10606506C2semidirect
24. #10606464C2semidirect
25. #10606456C2semidirect
26. #10606443C2semidirect
27. #10606437C2semidirect
28. #10606397C2semidirect
29. #10606394C2semidirect
30. #10605559C2semidirect
31. #10605552C2semidirect
34. C24×Dic5C22semidirect
35. C22×#711C22semidirect
41. C2×#4099C22semidirect
42. C2×#4099C22semidirect
46. C22×C22⋊Dic5C22semidirect
47. C22×C22⋊Dic5C22semidirect
48. C22×C22⋊Dic5C22semidirect
51. C2×#4085C22semidirect
52. C2×#4085C22semidirect
53. C2×#4085C22semidirect
54. C2×#4085C22semidirect
56. C2×#4081C22semidirect
57. C2×#4081C22semidirect
62. C2×D4×Dic5C22semidirect
63. C2×D4×Dic5C22semidirect
64. C2×D4×Dic5C22semidirect
65. C2×D4×Dic5C22semidirect
66. C2×D4×Dic5C22semidirect
67. C2×D4×Dic5C22semidirect
68. C2×D4×Dic5C22semidirect
69. C2×#4072C22semidirect
70. C2×#4072C22semidirect
72. C2×#4032C22semidirect
73. C2×#4027C22semidirect
74. C2×#4027C22semidirect
75. C2×#4024C22semidirect
76. C2×#4024C22semidirect
77. C2×#4024C22semidirect
78. C2×#4023C22semidirect
88. #65536C22semidirect
89. #65536C22semidirect
92. #65512C22semidirect
93. #65512C22semidirect
94. #65512C22semidirect
97. #65511C22semidirect
98. #65511C22semidirect
99. #65511C22semidirect
100. #65511C22semidirect
101. #65511C22semidirect
108. #65509C22semidirect
109. #65509C22semidirect
110. #65509C22semidirect
111. #65509C22semidirect
112. #65509C22semidirect
113. #65509C22semidirect
114. #65509C22semidirect
115. #65509C22semidirect
116. #65509C22semidirect
117. #65509C22semidirect
118. #65502C22semidirect
119. #65502C22semidirect
120. #65499C22semidirect
121. #65499C22semidirect
122. C2×#3963C22semidirect
123. C2×#3963C22semidirect
124. #65250C22semidirect
125. #65250C22semidirect
126. #65247C22semidirect
127. #65247C22semidirect
128. #65247C22semidirect
129. #65246C22semidirect
130. #65246C22semidirect
131. #65246C22semidirect
132. #65245C22semidirect
133. #65245C22semidirect
134. #65245C22semidirect
135. #65242C22semidirect
136. #65242C22semidirect
137. #65239C22semidirect
138. #65239C22semidirect
139. #65239C22semidirect
140. #65239C22semidirect
141. #65238C22semidirect
142. #65238C22semidirect
143. #65237C22semidirect
144. #65237C22semidirect
145. #65237C22semidirect
146. #65237C22semidirect
147. #65236C22semidirect
148. #65236C22semidirect
149. #65235C22semidirect
150. #65235C22semidirect
151. #65235C22semidirect
152. #65235C22semidirect
153. #65235C22semidirect
154. #65234C22semidirect
155. #65234C22semidirect
156. #65234C22semidirect
157. #65234C22semidirect
158. #65234C22semidirect
159. #65233C22semidirect
160. #65233C22semidirect
161. #65233C22semidirect
162. #65233C22semidirect
163. #65233C22semidirect
164. #65232C22semidirect
165. #65232C22semidirect
166. #65231C22semidirect
167. #65231C22semidirect
168. #65231C22semidirect
169. #65231C22semidirect
170. C22⋊C4×Dic5C22semidirect
171. C22⋊C4×Dic5C22semidirect
172. C22⋊C4×Dic5C22semidirect
173. #64963C22semidirect
174. #64959C22semidirect
175. #64958C22semidirect
176. #64957C22semidirect
177. #64949C22semidirect
178. #64948C22semidirect
179. #64946C22semidirect
180. #64944C22semidirect
181. #64944C22semidirect
182. #64943C22semidirect
183. #64942C22semidirect
184. #64942C22semidirect
185. #64941C22semidirect
186. #64940C22semidirect
187. #64939C22semidirect
188. #64935C22semidirect
322. D4×Dic5D4semidirect
423. #2403D5semidirect
449. C24×C5#41semidirect
495. C2×C5×D4#41semidirect
573. C22×Dic5C2×D4semidirect
644. C22⋊Dic5C2×D4semidirect
658. C4⋊Dic5C2×D4semidirect
678. C4×Dic5C2×D4semidirect
1338. C24#711semidirect
1408. C2×D4#711semidirect
1766. C5#35352semidirect

Maximal subgroups

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

subgroupindex
C2×#661322
C2×#659202
C5×#24032
#106157792
C2×#655092
#106143212
#106143182
#106143162
#106143122
Dic5×#1202
#106084242
#106084232
#106084172
#106084132
#106084122
#106084092
#106084062
#106083992
#106065102
#106065062
#106064642
#106064562
#106064432
#106064372
#106063972
#106063942
#106055592
#106055522
#353525