Finite Group Databasebeta

← #12269470

Subgroups — #12269470

Order 1280.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#66162C211yesmaximal, characteristic, complemented
2C2×#65891C211yesmaximal, characteristic, complemented
3C5×#2388C211yesmaximal, characteristic, complemented
4#10615817C211yesmaximal, characteristic, complemented
5C4×#4084C211yesmaximal, characteristic, complemented
6C4×#4083C211yesmaximal, characteristic, complemented
7#10614076C211yesmaximal, characteristic, complemented
8C4×#4085C211yesmaximal, characteristic, complemented
9#10614050C211yesmaximal, characteristic, complemented
10#10608984C211yesmaximal, characteristic, complemented
11#10608919C211yesmaximal, characteristic, complemented
12#10608850C211yesmaximal, characteristic, complemented
13#10608846C211yesmaximal, characteristic, complemented
14#10608684C211yesmaximal, characteristic, complemented
15#10608681C211yesmaximal, characteristic, complemented
16#10608678C211yesmaximal, characteristic, complemented
17#10608656C211yesmaximal, characteristic, complemented
18#10608598C211yesmaximal, characteristic, complemented
19#10608529C211yesmaximal, characteristic, complemented
20#10608490C211yesmaximal, characteristic, complemented
21#10608489C211yesmaximal, characteristic, complemented
22#10608487C211yesmaximal, characteristic, complemented
23#10608422C211yesmaximal, characteristic, complemented
24#10608421C211yesmaximal, characteristic, complemented
25#10608420C211yesmaximal, characteristic, complemented
26#10605314C211yesmaximal, characteristic, complemented
27C4×#4029C211yesmaximal, characteristic, complemented
28C4×D5×C22⋊C4C211yesmaximal, characteristic, complemented
29#10605211C211yesmaximal, characteristic, complemented
30C4×#4031C211yesmaximal, characteristic, complemented
31C4×#4027C211yesmaximal, characteristic, complemented
32C22×C5×#41C2211yescharacteristic
33C23×C4×D5C2211yescharacteristic
34C2×C4×C5×D4C2211yescharacteristic
35C2×C4×C5×D4C2211yescharacteristic, complemented
36C2×C4×C5×D4C2211yescharacteristic, complemented
37#66162—28no—
38C2×#4092C2211yescharacteristic
39C2×#4092C2211yescharacteristic
40C2×#4085C2211yescharacteristic
41C2×#4084C2211yescharacteristic
42C2×#4084C2211yescharacteristic
43C2×#4084C2211yescharacteristic
44C2×#4084C2211yescharacteristic
45C2×#4083C2211yescharacteristic
46C2×#4083C2211yescharacteristic
47C2×#4083C2211yescharacteristic
48C2×#4082C2211yescharacteristic, complemented
49C2×#4081C2211yescharacteristic
50C2×#4081C2211yescharacteristic
51C2×C4×C22⋊D5C2211yescharacteristic
52C2×C4×C22⋊D5C2211yescharacteristic
53C2×C4×C22⋊D5C2211yescharacteristic
54C2×C4×C22⋊D5C2211yescharacteristic
55C2×C4×C22⋊D5C2211yescharacteristic
56C2×C4×C22⋊D5C2211yescharacteristic
57C2×#4072C2211yescharacteristic
58C2×#4072C2211yescharacteristic, complemented
59C2×#4072C2211yescharacteristic, complemented
60C22×C4×Dic5C2211yescharacteristic, complemented
61#65891—28no—
62C2×#4043C2211yescharacteristic
63C2×#4036C2211yescharacteristic, complemented
64C2×#4031C2211yescharacteristic
65C2×#4029C2211yescharacteristic
66C2×#4029C2211yescharacteristic
67C2×#4029C2211yescharacteristic
68C2×#4027C2211yescharacteristic
69C2×#4027C2211yescharacteristic
70C2×D5×C22⋊C4C2211yescharacteristic
71C2×D5×C22⋊C4C2211yescharacteristic
72C2×#4025C2211yescharacteristic, complemented
73C2×#4025C2211yescharacteristic, complemented
74C2×C42×D5C2211yescharacteristic
75C2×C42×D5C2211yescharacteristic
76C2×C4×Dic10C2211yescharacteristic, complemented
77C5×#395C2211yescharacteristic, complemented
78C5×#394C2211yescharacteristic
79C5×#394C2211yescharacteristic
80C5×#394C2211yescharacteristic, complemented
81C5×#393C2211yescharacteristic, complemented
82C5×#392C2211yescharacteristic
83C5×#392C2211yescharacteristic
84C5×#392C2211yescharacteristic, complemented
85C4×C5×C22⋊C4C2211yescharacteristic
86C4×C5×C22⋊C4C2211yescharacteristic, complemented
87C4×C5×C22⋊C4C2211yescharacteristic, complemented
88#65519C2211yescharacteristic, complemented
89#65519C2211yescharacteristic, complemented
90#65512C2211yescharacteristic
91#65511C2211yescharacteristic, complemented
92#65510C2211yescharacteristic
93#65510C2211yescharacteristic
94#65510C2211yescharacteristic
95#65510C2211yescharacteristic
96#65510C2211yescharacteristic, complemented
97#65509C2211yescharacteristic
98#65509C2211yescharacteristic
99#65509C2211yescharacteristic
100#65509C2211yescharacteristic, complemented
101#65509C2211yescharacteristic, complemented
102#65509C2211yescharacteristic, complemented
103C4×C22⋊Dic5C2211yescharacteristic
104C4×C22⋊Dic5C2211yescharacteristic
105C4×C22⋊Dic5C2211yescharacteristic, complemented
106C4×C22⋊Dic5C2211yescharacteristic, complemented
107C4×C22⋊Dic5C2211yescharacteristic, complemented
108#65283C2211yescharacteristic
109#65279C2211yescharacteristic
110#65278C2211yescharacteristic
111#65278C2211yescharacteristic
112#65276C2211yescharacteristic
113#65274C2211yescharacteristic, complemented
114#65274C2211yescharacteristic, complemented
115#65273C2211yescharacteristic, complemented
116#65262C2211yescharacteristic, complemented
117#65261C2211yescharacteristic, complemented
118#65250C2211yescharacteristic
119#65250C2211yescharacteristic
120#65250C2211yescharacteristic
121#65248C2211yescharacteristic
122#65247C2211yescharacteristic
123#65246C2211yescharacteristic
124#65246C2211yescharacteristic
125#65245C2211yescharacteristic
126#65245C2211yescharacteristic
127#65245C2211yescharacteristic
128#65245C2211yescharacteristic
129#65245C2211yescharacteristic
130#65244C2211yescharacteristic
131#65242C2211yescharacteristic, complemented
132#65242C2211yescharacteristic, complemented
133#65241C2211yescharacteristic, complemented
134#65240C2211yescharacteristic
135#65240C2211yescharacteristic
136#65240C2211yescharacteristic, complemented
137#65240C2211yescharacteristic, complemented
138#65240C2211yescharacteristic, complemented
139#65240C2211yescharacteristic, complemented
140#65238C2211yescharacteristic
141#65237C2211yescharacteristic
142#65237C2211yescharacteristic
143#65237C2211yescharacteristic, complemented
144#65236C2211yescharacteristic
145#65235C2211yescharacteristic
146#65234C2211yescharacteristic, complemented
147#65234C2211yescharacteristic, complemented
148#65233C2211yescharacteristic, complemented
149#65233C2211yescharacteristic, complemented
150#65233C2211yescharacteristic, complemented
151#65231C2211yescharacteristic, complemented
152C22⋊C4×Dic5C2211yescharacteristic
153C22⋊C4×Dic5C2211yescharacteristic
154C22⋊C4×Dic5C2211yescharacteristic, complemented
155C22⋊C4×Dic5C2211yescharacteristic, complemented
156C4×#685C2211yescharacteristic
157C4×#685C2211yescharacteristic
158C4×#685C2211yescharacteristic
159C4×#685C2211yescharacteristic
160C4×C4⋊Dic5C2211yescharacteristic, complemented
161C4×C4⋊Dic5C2211yescharacteristic, complemented
162C4×#683C2211yescharacteristic, complemented
163C4×#683C2211yescharacteristic, complemented
164C42×Dic5C2211yescharacteristic, complemented
165#64966C2211yescharacteristic
166#64963C2211yescharacteristic
167#64959C2211yescharacteristic
168#64958C2211yescharacteristic
169#64957C2211yescharacteristic
170#64955C2211yescharacteristic
171#64955C2211yescharacteristic
172#64955C2211yescharacteristic
173#64955C2211yescharacteristic
174#64953C2211yescharacteristic
175D5×#95C2211yescharacteristic
176D5×#95C2211yescharacteristic
177#64950C2211yescharacteristic, complemented
178#64950C2211yescharacteristic, complemented
179#64949C2211yescharacteristic, complemented
180#64948C2211yescharacteristic, complemented
181#64946C2211yescharacteristic, complemented
182#64945C2211yescharacteristic, complemented
183#64943C2211yescharacteristic, complemented
184#64941C2211yescharacteristic, complemented
185#64939C2211yescharacteristic, complemented
186#64938C2211yescharacteristic, complemented
187#64938C2211yescharacteristic, complemented
188#64935C2211yescharacteristic, complemented
189#34829—51nomaximal, Sylow
190C24×D5C2311yescharacteristic
191C2×C5×#41—24no—
192C2×C5×#41—24no—
193C2×C5×#41—42no—
194C22×C5×Q8C2311yescharacteristic
195C22×C5×D4C2311yescharacteristic
196C22×C5×D4C2311yescharacteristic
197C22×C5×D4C2311yescharacteristic
198C22×C5×D4C2311yescharacteristic
199C22×C5×D4C2311yescharacteristic
200C22×C5×D4C2311yescharacteristic
201C23×C4×C5C2311yescharacteristic
202C23×C4×C5C2311yescharacteristic
203C23×C4×C5C2311yescharacteristic
204C23×C4×C5C2311yescharacteristic
205C22×C22⋊D5C2311yescharacteristic
206C22×C22⋊D5C2311yescharacteristic
207C22×C22⋊D5C2311yescharacteristic
208C22×C22⋊D5C2311yescharacteristic
209C22×C22⋊D5C2311yescharacteristic
210C22×C22⋊D5C2311yescharacteristic
211C23×Dic5C2311yescharacteristic
212C23×Dic5C2311yescharacteristic
213C23×Dic5C2311yescharacteristic
214C22×C4×D5—24no—
215C22×C4×D5—24no—
216C22×C4×D5—42no—
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C22×C4×D5C2311yescharacteristic
223C22×C4×D5C2311yescharacteristic
224C22×C4×D5C2311yescharacteristic
225C22×Dic10C2311yescharacteristic
226C4×C5×D4—24no—
227C4×C5×D4—24no—
228C4×C5×D4—42no—
229C2×C5×C4⋊C4C2311yescharacteristic
230C2×C5×C4⋊C4C2311yescharacteristic
231C2×C5×C4⋊C4C2311yescharacteristic
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×C42×C5C2311yescharacteristic
245C2×C42×C5C2311yescharacteristic
246C2×C42×C5C2311yescharacteristic
247C2×C22⋊Dic5C2311yescharacteristic
248C2×C22⋊Dic5C2311yescharacteristic
249C2×C22⋊Dic5C2311yescharacteristic
250C2×C22⋊Dic5C2311yescharacteristic
251C2×C22⋊Dic5C2311yescharacteristic
252C2×C22⋊Dic5C2311yescharacteristic
253C2×C22⋊Dic5C2311yescharacteristic
254C2×C22⋊Dic5C2311yescharacteristic
255C2×C22⋊Dic5C2311yescharacteristic
256C2×C22⋊Dic5C2311yescharacteristic
257C2×C22⋊Dic5C2311yescharacteristic
258C2×C22⋊Dic5C2311yescharacteristic
259C2×C22⋊Dic5C2311yescharacteristic
260C2×C22⋊Dic5C2311yescharacteristic
261C2×C22⋊Dic5C2311yescharacteristic
262C2×C22⋊Dic5C2311yescharacteristic
263C2×C22⋊Dic5C2311yescharacteristic
264C2×C22⋊Dic5C2311yescharacteristic
265C2×C22⋊Dic5C2311yescharacteristic
266C2×C22⋊Dic5C2311yescharacteristic
267C2×C22⋊Dic5C2311yescharacteristic
268C2×C22⋊Dic5C2311yescharacteristic
269#4092—24no—
270#4092—24no—
271#4085—24no—
272#4084—24no—
273#4084—24no—
274#4084—24no—
275#4084—24no—
276#4083—24no—
277#4083—24no—
278#4083—24no—
279#4082—24no—
280#4081—24no—
281#4081—24no—
282C4×C22⋊D5—24no—
283C4×C22⋊D5—24no—
284C4×C22⋊D5—24no—
285C4×C22⋊D5—24no—
286C4×C22⋊D5—42no—
287C4×C22⋊D5D418yescomplemented
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
302#4072—24no—
303#4072—24no—
304#4072—24no—
305C2×C4⋊Dic5C2311yescharacteristic
306C2×C4⋊Dic5C2311yescharacteristic
307C2×C4⋊Dic5C2311yescharacteristic
308C2×C4⋊Dic5C2311yescharacteristic
309C2×C4⋊Dic5C2311yescharacteristic
310C2×C4⋊Dic5C2311yescharacteristic
311C2×C4⋊Dic5C2311yescharacteristic
312C2×C4⋊Dic5C2311yescharacteristic
313C2×C4⋊Dic5C2311yescharacteristic
314C2×C4⋊Dic5C2311yescharacteristic
315C2×C4⋊Dic5C2311yescharacteristic
316C2×#683C2311yescharacteristic
317C2×#683C2311yescharacteristic
318C2×#683C2311yescharacteristic
319C2×#683C2311yescharacteristic
320C2×#683C2311yescharacteristic
321C2×#683C2311yescharacteristic
322C2×#683C2311yescharacteristic
323C2×#683C2311yescharacteristic
324C2×#683C2311yescharacteristic
325C2×#683C2311yescharacteristic
326C2×#683C2311yescharacteristic
327C2×#683C2311yescharacteristic
328C2×C4×Dic5—42no—
329C2×C4×Dic5C2311yescharacteristic
330C2×C4×Dic5C2311yescharacteristic
331C2×C4×Dic5C2311yescharacteristic
332C2×C4×Dic5C2311yescharacteristic
333C2×C4×Dic5C2311yescharacteristic
334C2×C4×Dic5C2311yescharacteristic
335C2×C4×Dic5C2311yescharacteristic
336C2×C4×Dic5C2311yescharacteristic
337C2×C4×Dic5C2311yescharacteristic
338C2×C4×Dic5C2311yescharacteristic
339C2×C4×Dic5C2311yescharacteristic
340C2×C4×Dic5C2311yescharacteristic
341C2×C4×Dic5C2311yescharacteristic
342C2×C4×Dic5C2311yescharacteristic
343C2×C4×Dic5C2311yescharacteristic
344C2×C4×Dic5C2311yescharacteristic
345#4043—24no—
346#4036—24no—
347#4031—24no—
348#4029—24no—
349#4029—24no—
350#4029—24no—
351#4027—24no—
352#4027—24no—
353D5×C22⋊C4—24no—
354D5×C22⋊C4—24no—
355#4025—24no—
356#4025—24no—
357C42×D5—24no—
358C42×D5—42no—
359C4×Dic10—24no—
360C5×#95C2311yescharacteristic
361C5×#95C2311yescharacteristic
362C5×#95C2311yescharacteristic
363C5×#95C2311yescharacteristic
364C5×#95C2311yescharacteristic
365C5×#95C2311yescharacteristic
366#3963C2311yescharacteristic
367#3963C2311yescharacteristic
368#3963C2311yescharacteristic
369#3963C2311yescharacteristic
370#3963C2311yescharacteristic
371#3963C2311yescharacteristic
372#3963C2311yescharacteristic
373#3963C2311yescharacteristic
374#3963C2311yescharacteristic
375#3963C2311yescharacteristic
376#3963C2311yescharacteristic
377#3963C2311yescharacteristic
378#3963C2311yescharacteristic
379#3963C2311yescharacteristic
380#3963C2311yescharacteristic
381#3963C2311yescharacteristic
382#3963C2311yescharacteristic
383#3963C2311yescharacteristic
384#3963C2311yescharacteristic
385#3963C2311yescharacteristic
386#3963C2311yescharacteristic
387#3963C2311yescharacteristic
388#3963C2311yescharacteristic
389#3963C2311yescharacteristic
390#3963C2311yescharacteristic
391#3963C2311yescharacteristic
392C2×#529—51no—
393C2×#525—51no—
394#2560—51no—
395#2559—51no—
396#2558—51no—
397#2557—51no—
398#2556—51no—
399#2555—51no—
400#2554—51no—
401#2553—51no—
402#2549—51no—
403#2543—51no—
404#2539—51no—
405#2534—51no—
406#2488—51no—
407#2472—51no—
408#2425—51no—
409#2424—51no—
410#2396—51no—
411#2395—51no—
412#2392—51no—
413#2388D511yescharacteristic, complemented
414C4×#124—51no—
415C4×#123—51no—
416C4×#121—51no—
417C4×#121—51no—
418C4×#120—51no—
419#2297—51no—
420#2293—51no—
421C42×D4—51no—
422C2×C4×C22⋊C4—51no—
423C24×C5C2411yescharacteristic
424C24×C5C2411yescharacteristic
425C24×C5C2411yescharacteristic
426C24×C5C2411yescharacteristic
427C23×D5—22no—
428C23×D5—22no—
429C23×D5—22no—
430C23×D5—22no—
431C23×D5—22no—
432C23×D5—41no—
433C23×D5—41no—
434C23×D5C2411yescharacteristic
435C23×D5C2411yescharacteristic
436C5×#41—416no—
437C2×C5×Q8—22no—
438C2×C5×Q8—22no—
439C2×C5×Q8—41no—
440C2×C5×D4—22no—
441C2×C5×D4—22no—
442C2×C5×D4—22no—
443C2×C5×D4—22no—
444C2×C5×D4—22no—
445C2×C5×D4—22no—
446C2×C5×D4—22no—
447C2×C5×D4—22no—
448C2×C5×D4—22no—
449C2×C5×D4—22no—
450C2×C5×D4—22no—
451C2×C5×D4—41no—
452C2×C5×D4—41no—
453C2×C5×D4—41no—
454C2×C5×D4—41no—
455C2×C5×D4—41no—
456C2×C5×D4—41no—
457C2×C5×D4—41no—
458C22×C4×C5—22no—
459C22×C4×C5—22no—
460C22×C4×C5—22no—
461C22×C4×C5—22no—
462C22×C4×C5—22no—
463C22×C4×C5—22no—
464C22×C4×C5—22no—
465C22×C4×C5—22no—
466C22×C4×C5—22no—
467C22×C4×C5—22no—
468C22×C4×C5C2×D414yes—
469C22×C4×C5#4114yes—
470C22×C4×C5C2411yescharacteristic
471C22×C4×C5C2411yescharacteristic
472C22×C4×C5C2411yescharacteristic
473C22×C4×C5C2411yescharacteristic
474C22×C4×C5C2411yescharacteristic
475C22×C4×C5C2411yescharacteristic
476C22×C4×C5C2411yescharacteristic
477C22×C4×C5C2411yescharacteristic
478C22×C4×C5C2411yescharacteristic
479C22×C4×C5C2411yescharacteristic
480C22×C4×C5C2411yescharacteristic
481C2×C22⋊D5—22no—
482C2×C22⋊D5—22no—
483C2×C22⋊D5—22no—
484C2×C22⋊D5—22no—
485C2×C22⋊D5—22no—
486C2×C22⋊D5—22no—
487C2×C22⋊D5—22no—
488C2×C22⋊D5—22no—
489C2×C22⋊D5—22no—
490C2×C22⋊D5—22no—
491C2×C22⋊D5—22no—
492C2×C22⋊D5—22no—
493C2×C22⋊D5—22no—
494C2×C22⋊D5—22no—
495C2×C22⋊D5—41no—
496C2×C22⋊D5—41no—
497C2×C22⋊D5—41no—
498C2×C22⋊D5C2×D414yes—
499C22×Dic5—22no—
500C22×Dic5—22no—
501C22×Dic5—22no—
502C22×Dic5—22no—
503C22×Dic5—22no—
504C22×Dic5—41no—
505C22×Dic5—41no—
506C22×Dic5—41no—
507C22×Dic5—41no—
508C22×Dic5C2411yescharacteristic
509C22×Dic5C2411yescharacteristic
510C22×Dic5C2411yescharacteristic
511C22×Dic5C2411yescharacteristic
512C22×Dic5C2411yescharacteristic
513C22×Dic5C2411yescharacteristic
514C22×Dic5C2411yescharacteristic
515C22×Dic5C2411yescharacteristic
516C22×Dic5C2411yescharacteristic
517C22×Dic5C2411yescharacteristic
518C22×Dic5C2411yescharacteristic
519C22×Dic5C2411yescharacteristic
520C22×Dic5C2411yescharacteristic
521C22×Dic5C2411yescharacteristic
522C2×C4×D5—22no—
523C2×C4×D5—22no—
524C2×C4×D5—22no—
525C2×C4×D5—22no—
526C2×C4×D5—22no—
527C2×C4×D5—22no—
528C2×C4×D5—22no—
529C2×C4×D5—22no—
530C2×C4×D5—22no—
531C2×C4×D5—22no—
532C2×C4×D5—22no—
533C2×C4×D5—22no—
534C2×C4×D5—22no—
535C2×C4×D5—22no—
536C2×C4×D5—22no—
537C2×C4×D5—22no—
538C2×C4×D5—416no—
539C2×C4×D5—41no—
540C2×C4×D5—41no—
541C2×C4×D5—41no—
542C2×C4×D5—41no—
543C2×C4×D5—41no—
544C2×C4×D5—41no—
545C2×C4×D5C2×D414yes—
546C2×C4×D5#4114yescomplemented
547C2×Dic10—22no—
548C2×Dic10—22no—
549C2×Dic10—41no—
550C5×C4⋊C4—22no—
551C5×C4⋊C4—22no—
552C5×C4⋊C4—41no—
553C5×C22⋊C4—22no—
554C5×C22⋊C4—22no—
555C5×C22⋊C4—22no—
556C5×C22⋊C4—22no—
557C5×C22⋊C4—22no—
558C5×C22⋊C4—22no—
559C5×C22⋊C4—22no—
560C5×C22⋊C4—22no—
561C5×C22⋊C4—22no—
562C5×C22⋊C4—22no—
563C5×C22⋊C4—41no—
564C5×C22⋊C4—41no—
565C42×C5—22no—
566C42×C5—22no—
567C42×C5—22no—
568C22⋊Dic5—22no—
569C22⋊Dic5—22no—
570C22⋊Dic5—22no—
571C22⋊Dic5—22no—
572C22⋊Dic5—22no—
573C22⋊Dic5—22no—
574C22⋊Dic5—22no—
575C22⋊Dic5—22no—
576C22⋊Dic5—22no—
577C22⋊Dic5—22no—
578C22⋊Dic5—22no—
579C22⋊Dic5—22no—
580C22⋊Dic5—22no—
581C22⋊Dic5—22no—
582C22⋊Dic5—22no—
583C22⋊Dic5—22no—
584C22⋊Dic5—22no—
585C22⋊Dic5—22no—
586C22⋊Dic5—41no—
587C22⋊Dic5—41no—
588C22⋊Dic5—41no—
589C22⋊Dic5C2×D414yes—
590#685—22no—
591#685—22no—
592#685—22no—
593#685—22no—
594#685—22no—
595#685—22no—
596#685—22no—
597#685—22no—
598#685—22no—
599#685—22no—
600#685—41no—
601#685C2×D414yes—
602#685#4114yescomplemented
603#685#4114yescomplemented
604C4⋊Dic5—22no—
605C4⋊Dic5—22no—
606C4⋊Dic5—22no—
607C4⋊Dic5—22no—
608C4⋊Dic5—22no—
609C4⋊Dic5—22no—
610C4⋊Dic5—22no—
611C4⋊Dic5—22no—
612C4⋊Dic5—22no—
613C4⋊Dic5—41no—
614C4⋊Dic5—41no—
615#683—22no—
616#683—22no—
617#683—22no—
618#683—22no—
619#683—22no—
620#683—22no—
621#683—22no—
622#683—22no—
623#683—22no—
624#683—22no—
625#683—41no—
626#683C2×D414yes—
627C4×Dic5—22no—
628C4×Dic5—22no—
629C4×Dic5—22no—
630C4×Dic5—22no—
631C4×Dic5—22no—
632C4×Dic5—22no—
633C4×Dic5—22no—
634C4×Dic5—22no—
635C4×Dic5—22no—
636C4×Dic5—22no—
637C4×Dic5—41no—
638C4×Dic5—41no—
639C4×Dic5—41no—
640C4×Dic5—41no—
641C4×Dic5—41no—
642C4×Dic5C2×D414yes—
643C22×#41C2×D511yescharacteristic
644C24×C4—51no—
645#529—108no—
646C2×#126—51no—
647C2×#126—51no—
648C2×#125—51no—
649C2×#124—51no—
650C2×#124—51no—
651#525—108no—
652C2×#123—51no—
653C2×#123—51no—
654C2×#123—51no—
655C2×#123—51no—
656C2×#123—51no—
657C2×C22⋊Q8—51no—
658C2×C22⋊Q8—51no—
659C2×C22⋊Q8—51no—
660C2×#121—51no—
661C2×#121—51no—
662C2×#121—51no—
663C2×#121—51no—
664C2×#121—51no—
665C2×#120—51no—
666C2×#120—51no—
667C2×#120—51no—
668C2×C4×Q8—51no—
669C2×C4×D4—51no—
670C2×C4×D4—51no—
671C2×C4×D4—51no—
672C2×C4×D4—51no—
673C2×C4×D4—51no—
674C2×C4×D4—51no—
675C2×C4×D4—51no—
676C2×C4×D4—51no—
677C2×C4×D4C2×D511yescharacteristic
678C2×C4×D4C2×D511yescharacteristic, complemented
679C2×C4×D4C2×D511yescharacteristic, complemented
680C2×#117—51no—
681C2×#117—51no—
682C2×#117—51no—
683C22×C22⋊C4—51no—
684C22×C22⋊C4—51no—
685C22×C42—51no—
686C22×C42—51no—
687C22×C42—51no—
688#400—51no—
689#400—51no—
690#399—51no—
691#399—51no—
692#398—51no—
693#398—51no—
694#398—51no—
695#398—51no—
696#397—51no—
697#397—51no—
698#397—51no—
699#397—51no—
700#396—51no—
701#396—51no—
702#396—51no—
703#396—51no—
704#395—51no—
705#395C2×D511yescharacteristic, complemented
706#394—51no—
707#394—51no—
708#394—51no—
709#394—51no—
710#394—51no—
711#394C2×D511yescharacteristic
712#394C2×D511yescharacteristic
713#394C2×D511yescharacteristic, complemented
714#393—51no—
715#393C2×D511yescharacteristic, complemented
716#392—51no—
717#392C2×D511yescharacteristic
718#392C2×D511yescharacteristic
719#392C2×D511yescharacteristic, complemented
720#391—51no—
721#391—51no—
722#391—51no—
723#390—51no—
724#390—51no—
725#390—51no—
726#390—51no—
727#390—51no—
728#390—51no—
729#390—51no—
730#389—51no—
731#389—51no—
732#389—51no—
733#389—51no—
734#388—51no—
735#388—51no—
736#388—51no—
737#388—51no—
738#388—51no—
739#388—51no—
740#388—51no—
741#388—51no—
742#388—51no—
743#388—51no—
744#388—51no—
745#388—51no—
746#388—51no—
747#388—51no—
748#387—51no—
749#387—51no—
750#386—51no—
751#386—51no—
752#386—51no—
753#386—51no—
754#386—51no—
755#386—51no—
756#386—51no—
757#386—51no—
758#386—51no—
759#386—51no—
760#386—51no—
761#386—51no—
762#385—51no—
763#385—51no—
764#385—51no—
765#385—51no—
766#382—51no—
767#381—51no—
768#380—51no—
769#380—51no—
770#379—51no—
771C4×C4⋊C4—51no—
772C4×C4⋊C4—51no—
773C4×C4⋊C4—51no—
774C4×C4⋊C4—51no—
775C4×C4⋊C4—51no—
776C4×C4⋊C4—51no—
777C4×C22⋊C4—51no—
778C4×C22⋊C4—51no—
779C4×C22⋊C4—51no—
780C4×C22⋊C4—51no—
781C4×C22⋊C4—51no—
782C4×C22⋊C4—51no—
783C4×C22⋊C4—51no—
784C4×C22⋊C4—51no—
785C4×C22⋊C4—51no—
786C4×C22⋊C4—51no—
787C4×C22⋊C4—51no—
788C4×C22⋊C4—51no—
789C4×C22⋊C4—51no—
790C4×C22⋊C4—51no—
791C4×C22⋊C4—51no—
792C4×C22⋊C4—51no—
793C4×C22⋊C4—51no—
794C4×C22⋊C4C2×D511yescharacteristic
795C4×C22⋊C4C2×D511yescharacteristic, complemented
796C4×C22⋊C4C2×D511yescharacteristic, complemented
797C2×#95—51no—
798C2×#95—51no—
799C43—51no—
800C23×C5—21no—
801C23×C5—21no—
802C23×C5—21no—
803C23×C5—21no—
804C23×C5—21no—
805C23×C5—21no—
806C23×C5—21no—
807C23×C5—21no—
808C23×C5—21no—
809C23×C5—21no—
810C23×C5—21no—
811C23×C5—21no—
812C23×C5—21no—
813C23×C5—21no—
814C23×C5—21no—
815C23×C5—21no—
816C23×C5—21no—
817C23×C5—21no—
818C23×C5—21no—
819C23×C5—21no—
820C23×C5—21no—
821C23×C5—21no—
822C23×C5—21no—
823C23×C5—21no—
824C23×C5—21no—
825C23×C5—21no—
826C23×C5C22×D412yes—
827C23×C5C2×#4112yes—
828C23×C5C2511yescharacteristic
829C22×D5—21no—
830C22×D5—21no—
831C22×D5—21no—
832C22×D5—21no—
833C22×D5—28no—
834C22×D5—21no—
835C22×D5—21no—
836C22×D5—21no—
837C22×D5—21no—
838C22×D5—21no—
839C22×D5—21no—
840C22×D5—44no—
841C22×D5—44no—
842C22×D5—44no—
843C22×D5—44no—
844C22×D5—44no—
845C22×D5—44no—
846C22×D5C22×D412yes—
847C22×D5C2×#4112yes—
848C22×D5C2×#4112yes—
849C22×D5C2×#4112yes—
850C5×Q8—44no—
851C5×D4—44no—
852C5×D4—44no—
853C5×D4—44no—
854C5×D4—44no—
855C5×D4—44no—
856C5×D4—44no—
857C2×C4×C5—21no—
858C2×C4×C5—21no—
859C2×C4×C5—21no—
860C2×C4×C5—21no—
861C2×C4×C5—21no—
862C2×C4×C5—21no—
863C2×C4×C5—21no—
864C2×C4×C5—21no—
865C2×C4×C5—21no—
866C2×C4×C5—21no—
867C2×C4×C5—28no—
868C2×C4×C5—28no—
869C2×C4×C5—21no—
870C2×C4×C5—21no—
871C2×C4×C5—21no—
872C2×C4×C5—21no—
873C2×C4×C5—21no—
874C2×C4×C5—21no—
875C2×C4×C5—21no—
876C2×C4×C5—21no—
877C2×C4×C5—21no—
878C2×C4×C5—21no—
879C2×C4×C5—21no—
880C2×C4×C5—21no—
881C2×C4×C5—21no—
882C2×C4×C5—21no—
883C2×C4×C5—21no—
884C2×C4×C5—44no—
885C2×C4×C5—44no—
886C2×C4×C5C22×D412yes—
887C2×C4×C5C22×D412yes—
888C2×C4×C5C2×#4112yes—
889C2×C4×C5C2×#4112yes—
890C2×C4×C5C2×#4112yes—
891C2×C4×C5C2×#4112yes—
892C2×C4×C5C2×#4112yes—
893C2×C4×C5H(5,𝔽2)12yes—
894C22⋊D5—28no—
895C22⋊D5—44no—
896C22⋊D5—44no—
897C22⋊D5—44no—
898C22⋊D5—44no—
899C22⋊D5—44no—
900C2×Dic5—21no—
901C2×Dic5—21no—
902C2×Dic5—21no—
903C2×Dic5—21no—
904C2×Dic5—21no—
905C2×Dic5—21no—
906C2×Dic5—21no—
907C2×Dic5—21no—
908C2×Dic5—21no—
909C2×Dic5—21no—
910C2×Dic5—21no—
911C2×Dic5—21no—
912C2×Dic5—21no—
913C2×Dic5—21no—
914C2×Dic5—21no—
915C2×Dic5—21no—
916C2×Dic5—21no—
917C2×Dic5—21no—
918C2×Dic5—21no—
919C2×Dic5—21no—
920C2×Dic5—21no—
921C2×Dic5—21no—
922C2×Dic5—21no—
923C2×Dic5—21no—
924C2×Dic5—21no—
925C2×Dic5—21no—
926C2×Dic5—21no—
927C2×Dic5—21no—
928C2×Dic5—21no—
929C2×Dic5—21no—
930C2×Dic5—21no—
931C2×Dic5—21no—
932C2×Dic5—21no—
933C2×Dic5—21no—
934C2×Dic5—21no—
935C2×Dic5—21no—
936C2×Dic5—44no—
937C2×Dic5—44no—
938C2×Dic5—44no—
939C2×Dic5C22×D412yes—
940C2×Dic5C22×D412yes—
941C2×Dic5C22×D412yes—
942C2×Dic5C2×#4112yes—
943C2×Dic5C2×#4112yes—
944C2×Dic5C2×#4112yes—
945C4×D5—28no—
946C4×D5—44no—
947C4×D5—44no—
948C4×D5—44no—
949C4×D5—44no—
950C4×D5—44no—
951C4×D5—44no—
952C4×D5—44no—
953Dic10—44no—
954C25—51no—
955C2×#41—24no—
956C2×#41—24no—
957C2×#41—42no—
958C22×Q8—51no—
959C22×Q8C22×D511yescharacteristic
960C22×D4—51no—
961C22×D4—51no—
962C22×D4—51no—
963C22×D4—51no—
964C22×D4—51no—
965C22×D4—51no—
966C22×D4C22×D511yescharacteristic
967C22×D4C22×D511yescharacteristic
968C22×D4C22×D511yescharacteristic
969C22×D4C22×D511yescharacteristic
970C22×D4C22×D511yescharacteristic
971C22×D4C22×D511yescharacteristic
972C23×C4—51no—
973C23×C4—51no—
974C23×C4—51no—
975C23×C4—51no—
976C23×C4—51no—
977C23×C4—51no—
978C23×C4—51no—
979C23×C4—51no—
980C23×C4—51no—
981C23×C4—51no—
982C23×C4—51no—
983C23×C4—104no—
984C23×C4—104no—
985C23×C4—202no—
986C23×C4C22×D511yescharacteristic
987C23×C4C22×D511yescharacteristic
988C23×C4C22×D511yescharacteristic
989C23×C4C22×D511yescharacteristic
990#126—104no—
991#126—104no—
992#125—104no—
993#124—104no—
994#124—104no—
995#123—104no—
996#123—104no—
997#123—104no—
998#123—104no—
999#123—104no—
1000C22⋊Q8—104no—
1001C22⋊Q8—104no—
1002C22⋊Q8—104no—
1003#121—104no—
1004#121—104no—
1005#121—104no—
1006#121—104no—
1007#121—104no—
1008#120—104no—
1009#120—104no—
1010#120—104no—
1011C4×Q8—104no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—42no—
1015C4×D4—58no—
1016C4×D4—104no—
1017C4×D4—104no—
1018C4×D4—104no—
1019C4×D4—104no—
1020C4×D4—104no—
1021C4×D4—104no—
1022C4×D4—202no—
1023#117—104no—
1024#117—104no—
1025#117—104no—
1026C2×C4⋊C4—51no—
1027C2×C4⋊C4—51no—
1028C2×C4⋊C4—51no—
1029C2×C4⋊C4—51no—
1030C2×C4⋊C4—51no—
1031C2×C4⋊C4—51no—
1032C2×C4⋊C4—51no—
1033C2×C4⋊C4—51no—
1034C2×C4⋊C4—51no—
1035C2×C4⋊C4—51no—
1036C2×C4⋊C4—51no—
1037C2×C4⋊C4—51no—
1038C2×C4⋊C4—51no—
1039C2×C4⋊C4—51no—
1040C2×C4⋊C4—51no—
1041C2×C4⋊C4—51no—
1042C2×C4⋊C4—51no—
1043C2×C4⋊C4—51no—
1044C2×C4⋊C4—51no—
1045C2×C4⋊C4—51no—
1046C2×C4⋊C4—51no—
1047C2×C4⋊C4—51no—
1048C2×C4⋊C4—51no—
1049C2×C4⋊C4C22×D511yescharacteristic
1050C2×C4⋊C4C22×D511yescharacteristic
1051C2×C4⋊C4C22×D511yescharacteristic
1052C2×C22⋊C4—51no—
1053C2×C22⋊C4—51no—
1054C2×C22⋊C4—51no—
1055C2×C22⋊C4—51no—
1056C2×C22⋊C4—51no—
1057C2×C22⋊C4—51no—
1058C2×C22⋊C4—51no—
1059C2×C22⋊C4—51no—
1060C2×C22⋊C4—51no—
1061C2×C22⋊C4—51no—
1062C2×C22⋊C4—51no—
1063C2×C22⋊C4—51no—
1064C2×C22⋊C4—51no—
1065C2×C22⋊C4—51no—
1066C2×C22⋊C4—51no—
1067C2×C22⋊C4—51no—
1068C2×C22⋊C4—51no—
1069C2×C22⋊C4—51no—
1070C2×C22⋊C4—51no—
1071C2×C22⋊C4—51no—
1072C2×C22⋊C4—51no—
1073C2×C22⋊C4—51no—
1074C2×C22⋊C4—51no—
1075C2×C22⋊C4—51no—
1076C2×C22⋊C4—51no—
1077C2×C22⋊C4—51no—
1078C2×C22⋊C4—51no—
1079C2×C22⋊C4—51no—
1080C2×C22⋊C4—51no—
1081C2×C22⋊C4—51no—
1082C2×C22⋊C4—51no—
1083C2×C22⋊C4—51no—
1084C2×C22⋊C4—51no—
1085C2×C22⋊C4—51no—
1086C2×C22⋊C4—51no—
1087C2×C22⋊C4—51no—
1088C2×C22⋊C4—104no—
1089C2×C22⋊C4—104no—
1090C2×C22⋊C4C22×D511yescharacteristic
1091C2×C22⋊C4C22×D511yescharacteristic
1092C2×C22⋊C4C22×D511yescharacteristic
1093C2×C22⋊C4C22×D511yescharacteristic
1094C2×C22⋊C4C22×D511yescharacteristic
1095C2×C22⋊C4C22×D511yescharacteristic
1096C2×C22⋊C4C22×D511yescharacteristic
1097C2×C22⋊C4C22×D511yescharacteristic
1098C2×C22⋊C4C22×D511yescharacteristic
1099C2×C22⋊C4C22×D511yescharacteristic
1100C2×C22⋊C4C22×D511yescharacteristic
1101C2×C22⋊C4C22×D511yescharacteristic
1102C2×C42—51no—
1103C2×C42—51no—
1104C2×C42—51no—
1105C2×C42—51no—
1106C2×C42—51no—
1107C2×C42—51no—
1108C2×C42—51no—
1109C2×C42—51no—
1110C2×C42—51no—
1111C2×C42—51no—
1112C2×C42—51no—
1113C2×C42—51no—
1114C2×C42—51no—
1115C2×C42—51no—
1116C2×C42—51no—
1117C2×C42—51no—
1118C2×C42—104no—
1119C2×C42—202no—
1120C2×C42—202no—
1121C2×C42C22×D511yescharacteristic
1122C2×C42C22×D511yescharacteristic
1123C2×C42C22×D511yescharacteristic
1124#95—51no—
1125#95—51no—
1126#95—51no—
1127#95—51no—
1128#95—51no—
1129#95—51no—
1130#95—51no—
1131#95—51no—
1132#95—51no—
1133#95—51no—
1134#95—51no—
1135#95—51no—
1136#95—51no—
1137#95—51no—
1138#95—51no—
1139#95—51no—
1140#95—51no—
1141#95—51no—
1142#95—51no—
1143#95—51no—
1144#95—51no—
1145#95—51no—
1146#95—51no—
1147#95—51no—
1148#95—51no—
1149#95—51no—
1150#95C22×D511yescharacteristic
1151#95C22×D511yescharacteristic
1152#95C22×D511yescharacteristic
1153#95C22×D511yescharacteristic
1154#95C22×D511yescharacteristic
1155#95C22×D511yescharacteristic
1156C22×C5—22no—
1157C22×C5—22no—
1158C22×C5—22no—
1159C22×C5—22no—
1160C22×C5—22no—
1161C22×C5—22no—
1162C22×C5—41no—
1163C22×C5—41no—
1164C22×C5—41no—
1165C22×C5—41no—
1166C22×C5—41no—
1167C22×C5—41no—
1168C22×C5—41no—
1169C22×C5—41no—
1170C22×C5—41no—
1171C22×C5—41no—
1172C22×C5—41no—
1173C22×C5—41no—
1174C22×C5—41no—
1175C22×C5—41no—
1176C22×C5—41no—
1177C22×C5—41no—
1178C22×C5—41no—
1179C22×C5—41no—
1180C22×C5—41no—
1181C22×C5—41no—
1182C22×C5—41no—
1183C22×C5—41no—
1184C22×C5C23×D411yescharacteristic
1185C22×C5C22×#4111yescharacteristic
1186C22×C5C22×#4111yescharacteristic
1187C22×C5C22×#4111yescharacteristic
1188C22×C5C22×#4111yescharacteristic
1189C22×C5C2×H(5,𝔽2)11yescharacteristic
1190C22×C5#58511yescharacteristic
1191C2×D5—22no—
1192C2×D5—22no—
1193C2×D5—22no—
1194C2×D5—22no—
1195C2×D5—22no—
1196C2×D5—22no—
1197C2×D5—22no—
1198C2×D5—22no—
1199C2×D5—22no—
1200C2×D5—416no—
1201C2×D5—41no—
1202C2×D5—41no—
1203C2×D5—41no—
1204C2×D5—41no—
1205C2×D5#53214yes—
1206C4×C5—22no—
1207C4×C5—22no—
1208C4×C5—22no—
1209C4×C5—22no—
1210C4×C5—22no—
1211C4×C5—41no—
1212C4×C5—41no—
1213C4×C5—41no—
1214C4×C5—41no—
1215C4×C5—41no—
1216C4×C5#54614yes—
1217Dic5—22no—
1218Dic5—22no—
1219Dic5—22no—
1220Dic5—22no—
1221Dic5—22no—
1222Dic5—22no—
1223Dic5—41no—
1224Dic5—41no—
1225Dic5—41no—
1226Dic5—41no—
1227Dic5—41no—
1228Dic5—41no—
1229Dic5—41no—
1230Dic5—41no—
1231C24—51no—
1232C24—51no—
1233C24—102no—
1234C24—102no—
1235C24—102no—
1236C24—102no—
1237C24—102no—
1238C24—201no—
1239C24—201no—
1240C24C23×D511yescharacteristic
1241C24C23×D511yescharacteristic
1242C24C23×D511yescharacteristic
1243C24C23×D511yescharacteristic
1244#41—416no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—41no—
1248C2×Q8—102no—
1249C2×Q8—102no—
1250C2×Q8—201no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—54no—
1270C2×D4—102no—
1271C2×D4—102no—
1272C2×D4—102no—
1273C2×D4—102no—
1274C2×D4—102no—
1275C2×D4—102no—
1276C2×D4—102no—
1277C2×D4—102no—
1278C2×D4—102no—
1279C2×D4—102no—
1280C2×D4—102no—
1281C2×D4—102no—
1282C2×D4—102no—
1283C2×D4—102no—
1284C2×D4—201no—
1285C2×D4—201no—
1286C2×D4—201no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—51no—
1298C22×C4—51no—
1299C22×C4—51no—
1300C22×C4—51no—
1301C22×C4—51no—
1302C22×C4—51no—
1303C22×C4—54no—
1304C22×C4—54no—
1305C22×C4—51no—
1306C22×C4—51no—
1307C22×C4—51no—
1308C22×C4—51no—
1309C22×C4—51no—
1310C22×C4—51no—
1311C22×C4—51no—
1312C22×C4—51no—
1313C22×C4—102no—
1314C22×C4—102no—
1315C22×C4—102no—
1316C22×C4—102no—
1317C22×C4—102no—
1318C22×C4—102no—
1319C22×C4—102no—
1320C22×C4—102no—
1321C22×C4—102no—
1322C22×C4—102no—
1323C22×C4—102no—
1324C22×C4—102no—
1325C22×C4—102no—
1326C22×C4—102no—
1327C22×C4—102no—
1328C22×C4—102no—
1329C22×C4—102no—
1330C22×C4—102no—
1331C22×C4—102no—
1332C22×C4—102no—
1333C22×C4—102no—
1334C22×C4—201no—
1335C22×C4—201no—
1336C22×C4—201no—
1337C22×C4—201no—
1338C22×C4—201no—
1339C22×C4—201no—
1340C22×C4—2016no—
1341C22×C4—201no—
1342C22×C4—201no—
1343C22×C4—201no—
1344C22×C4—201no—
1345C22×C4D4×D514yes—
1346C22×C4#71114yes—
1347C22×C4C23×D511yescharacteristic
1348C22×C4C23×D511yescharacteristic
1349C22×C4C23×D511yescharacteristic
1350C22×C4C23×D511yescharacteristic
1351C22×C4C23×D511yescharacteristic
1352C22×C4C23×D511yescharacteristic
1353C22×C4C23×D511yescharacteristic
1354C22×C4C23×D511yescharacteristic
1355C22×C4C23×D511yescharacteristic
1356C22×C4C23×D511yescharacteristic
1357C22×C4C23×D511yescharacteristic
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—41no—
1361C4⋊C4—54no—
1362C4⋊C4—102no—
1363C4⋊C4—102no—
1364C4⋊C4—102no—
1365C4⋊C4—102no—
1366C4⋊C4—102no—
1367C4⋊C4—102no—
1368C4⋊C4—102no—
1369C4⋊C4—102no—
1370C4⋊C4—102no—
1371C4⋊C4—102no—
1372C4⋊C4—102no—
1373C4⋊C4—102no—
1374C4⋊C4—102no—
1375C4⋊C4—102no—
1376C4⋊C4—102no—
1377C4⋊C4—102no—
1378C4⋊C4—102no—
1379C4⋊C4—102no—
1380C4⋊C4—102no—
1381C4⋊C4—201no—
1382C4⋊C4—201no—
1383C4⋊C4—201no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—54no—
1397C22⋊C4—54no—
1398C22⋊C4—54no—
1399C22⋊C4—54no—
1400C22⋊C4—102no—
1401C22⋊C4—102no—
1402C22⋊C4—102no—
1403C22⋊C4—102no—
1404C22⋊C4—102no—
1405C22⋊C4—102no—
1406C22⋊C4—102no—
1407C22⋊C4—102no—
1408C22⋊C4—102no—
1409C22⋊C4—102no—
1410C22⋊C4—102no—
1411C22⋊C4—102no—
1412C22⋊C4—102no—
1413C22⋊C4—102no—
1414C22⋊C4—102no—
1415C22⋊C4—102no—
1416C22⋊C4—102no—
1417C22⋊C4—102no—
1418C22⋊C4—102no—
1419C22⋊C4—102no—
1420C22⋊C4—102no—
1421C22⋊C4—102no—
1422C22⋊C4—102no—
1423C22⋊C4—102no—
1424C22⋊C4—102no—
1425C22⋊C4—102no—
1426C22⋊C4—102no—
1427C22⋊C4—102no—
1428C22⋊C4—201no—
1429C22⋊C4—201no—
1430C22⋊C4—201no—
1431C22⋊C4—201no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—54no—
1436C42—102no—
1437C42—102no—
1438C42—102no—
1439C42—102no—
1440C42—102no—
1441C42—102no—
1442C42—102no—
1443C42—102no—
1444C42—102no—
1445C42—102no—
1446C42—201no—
1447C42—201no—
1448C42—201no—
1449C42—201no—
1450C42—201no—
1451C2×C5—42no—
1452C2×C5—42no—
1453C2×C5—81no—
1454C2×C5—81no—
1455C2×C5C2×#53211yescharacteristic
1456C2×C5#344411yescharacteristic
1457C2×C5#345911yescharacteristic
1458C2×C5C2×#54611yescharacteristic
1459C2×C5D4×#4111yescharacteristic
1460C2×C5#347511yescharacteristic
1461C2×C5#348111yescharacteristic
1462D5—24no—
1463D5—42no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—52no—
1491C23—52no—
1492C23—52no—
1493C23—52no—
1494C23—108no—
1495C23—101no—
1496C23—101no—
1497C23—101no—
1498C23—101no—
1499C23—101no—
1500C23—101no—
1501C23—101no—
1502C23—101no—
1503C23—101no—
1504C23—101no—
1505C23—204no—
1506C23—204no—
1507C23—204no—
1508C23—204no—
1509C23—204no—
1510C23—204no—
1511C23C2×D4×D512yes—
1512C23C2×#71112yes—
1513C23C24×D511yescharacteristic
1514Q8—44no—
1515Q8—204no—
1516D4—44no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—44no—
1521D4—44no—
1522D4—108no—
1523D4—204no—
1524D4—204no—
1525D4—204no—
1526D4—204no—
1527D4—204no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—28no—
1539C2×C4—28no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—52no—
1558C2×C4—52no—
1559C2×C4—52no—
1560C2×C4—52no—
1561C2×C4—52no—
1562C2×C4—52no—
1563C2×C4—101no—
1564C2×C4—101no—
1565C2×C4—101no—
1566C2×C4—101no—
1567C2×C4—101no—
1568C2×C4—101no—
1569C2×C4—101no—
1570C2×C4—101no—
1571C2×C4—101no—
1572C2×C4—101no—
1573C2×C4—101no—
1574C2×C4—101no—
1575C2×C4—108no—
1576C2×C4—101no—
1577C2×C4—101no—
1578C2×C4—101no—
1579C2×C4—101no—
1580C2×C4—101no—
1581C2×C4—101no—
1582C2×C4—101no—
1583C2×C4—101no—
1584C2×C4—101no—
1585C2×C4—101no—
1586C2×C4—101no—
1587C2×C4—101no—
1588C2×C4—101no—
1589C2×C4—101no—
1590C2×C4—101no—
1591C2×C4—101no—
1592C2×C4—101no—
1593C2×C4—101no—
1594C2×C4—101no—
1595C2×C4—101no—
1596C2×C4—101no—
1597C2×C4—101no—
1598C2×C4—101no—
1599C2×C4—101no—
1600C2×C4—204no—
1601C2×C4—204no—
1602C2×C4—204no—
1603C2×C4—204no—
1604C2×C4—204no—
1605C2×C4—204no—
1606C2×C4—204no—
1607C2×C4—204no—
1608C2×C4—204no—
1609C2×C4—204no—
1610C2×C4C2×D4×D512yes—
1611C2×C4C2×D4×D512yes—
1612C2×C4C2×#71112yes—
1613C2×C4C2×#71112yes—
1614C2×C4#414412yes—
1615C2×C4D5×#4112yes—
1616C2×C4D5×#4112yes—
1617C2×C4D5×#4112yes—
1618C5#3482911yescharacteristic, complemented, Sylow
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—54no—
1648C22—102no—
1649C22—102no—
1650C22—102no—
1651C22—102no—
1652C22—102no—
1653C22—102no—
1654C22—102no—
1655C22—102no—
1656C22—102no—
1657C22—2016no—
1658C22—201no—
1659C22—201no—
1660C22—201no—
1661C22—201no—
1662C22C22×D4×D511yescharacteristic
1663C22C22×#71111yescharacteristic
1664C22C2×#414411yescharacteristic
1665C22C2×D5×#4111yescharacteristic
1666C22C2×D5×#4111yescharacteristic
1667C22C2×D5×#4111yescharacteristic
1668C22#6628311yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—102no—
1680C4—102no—
1681C4—102no—
1682C4—102no—
1683C4—102no—
1684C4—102no—
1685C4—201no—
1686C4—201no—
1687C4—201no—
1688C4—201no—
1689C4—201no—
1690C4—201no—
1691C4—201no—
1692C4—201no—
1693C4#6592514yes—
1694C2—42no—
1695C2—42no—
1696C2—81no—
1697C2—81no—
1698C2—104no—
1699C2—202no—
1700C2C2×#6592511yescharacteristic
1701C2#1061792211yescharacteristic
1702C2#1061793711yescharacteristic
1703C2#1061793811yescharacteristic
1704C2#1061812011yescharacteristic
1705C2D5×#53211yescharacteristic
1706C2#1061814011yescharacteristic
subgroupG/H
centerC22×C4C23×D5
commutator, socle, cosocleC23×C5C25
FrattiniC23C24×D5
FittingC5×#2388C2
hypercenter#2388D5
hypocenterC5#34829
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C22×C4 ◁ #2388

Complements

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

NH ≅ G/Ntype
1. C2×#66162C2semidirect
2. C2×#65891C2semidirect
3. C5×#2388C2semidirect
4. #10615817C2semidirect
5. C4×#4084C2semidirect
6. C4×#4083C2semidirect
7. #10614076C2semidirect
8. C4×#4085C2semidirect
9. #10614050C2semidirect
10. #10608984C2semidirect
11. #10608919C2semidirect
12. #10608850C2semidirect
13. #10608846C2semidirect
14. #10608684C2semidirect
15. #10608681C2semidirect
16. #10608678C2semidirect
17. #10608656C2semidirect
18. #10608598C2semidirect
19. #10608529C2semidirect
20. #10608490C2semidirect
21. #10608489C2semidirect
22. #10608487C2semidirect
23. #10608422C2semidirect
24. #10608421C2semidirect
25. #10608420C2semidirect
26. #10605314C2semidirect
27. C4×#4029C2semidirect
28. C4×D5×C22⋊C4C2semidirect
29. #10605211C2semidirect
30. C4×#4031C2semidirect
31. C4×#4027C2semidirect
35. C2×C4×C5×D4C22semidirect
36. C2×C4×C5×D4C22semidirect
48. C2×#4082C22semidirect
58. C2×#4072C22semidirect
59. C2×#4072C22semidirect
60. C22×C4×Dic5C22semidirect
63. C2×#4036C22semidirect
72. C2×#4025C22semidirect
73. C2×#4025C22semidirect
76. C2×C4×Dic10C22semidirect
77. C5×#395C22semidirect
80. C5×#394C22semidirect
81. C5×#393C22semidirect
84. C5×#392C22semidirect
86. C4×C5×C22⋊C4C22semidirect
87. C4×C5×C22⋊C4C22semidirect
88. #65519C22semidirect
89. #65519C22semidirect
91. #65511C22semidirect
96. #65510C22semidirect
100. #65509C22semidirect
101. #65509C22semidirect
102. #65509C22semidirect
105. C4×C22⋊Dic5C22semidirect
106. C4×C22⋊Dic5C22semidirect
107. C4×C22⋊Dic5C22semidirect
113. #65274C22semidirect
114. #65274C22semidirect
115. #65273C22semidirect
116. #65262C22semidirect
117. #65261C22semidirect
131. #65242C22semidirect
132. #65242C22semidirect
133. #65241C22semidirect
136. #65240C22semidirect
137. #65240C22semidirect
138. #65240C22semidirect
139. #65240C22semidirect
143. #65237C22semidirect
146. #65234C22semidirect
147. #65234C22semidirect
148. #65233C22semidirect
149. #65233C22semidirect
150. #65233C22semidirect
151. #65231C22semidirect
154. C22⋊C4×Dic5C22semidirect
155. C22⋊C4×Dic5C22semidirect
160. C4×C4⋊Dic5C22semidirect
161. C4×C4⋊Dic5C22semidirect
162. C4×#683C22semidirect
163. C4×#683C22semidirect
164. C42×Dic5C22semidirect
177. #64950C22semidirect
178. #64950C22semidirect
179. #64949C22semidirect
180. #64948C22semidirect
181. #64946C22semidirect
182. #64945C22semidirect
183. #64943C22semidirect
184. #64941C22semidirect
185. #64939C22semidirect
186. #64938C22semidirect
187. #64938C22semidirect
188. #64935C22semidirect
287. C4×C22⋊D5D4semidirect
413. #2388D5semidirect
546. C2×C4×D5#41semidirect
602. #685#41semidirect
603. #685#41semidirect
678. C2×C4×D4C2×D5semidirect
679. C2×C4×D4C2×D5semidirect
705. #395C2×D5semidirect
713. #394C2×D5semidirect
715. #393C2×D5semidirect
719. #392C2×D5semidirect
795. C4×C22⋊C4C2×D5semidirect
796. C4×C22⋊C4C2×D5semidirect
1618. C5#34829semidirect

Maximal subgroups

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

subgroupindex
C2×#661622
C2×#658912
C5×#23882
#106158172
C4×#40842
C4×#40832
#106140762
C4×#40852
#106140502
#106089842
#106089192
#106088502
#106088462
#106086842
#106086812
#106086782
#106086562
#106085982
#106085292
#106084902
#106084892
#106084872
#106084222
#106084212
#106084202
#106053142
C4×#40292
C4×D5×C22⋊C42
#106052112
C4×#40312
C4×#40272
#348295