Finite Group Databasebeta

← #29843459

Subgroups — #29843459

Order 15616.

2766 conjugacy classes of subgroups.

The subgroup lattice has 1752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840330C211yesmaximal, characteristic
2#21448995C211yesmaximal, characteristic, complemented
3#21448994C211yesmaximal, characteristic, complemented
4#21448959C211yesmaximal, characteristic, complemented
5#21448959C211yesmaximal, characteristic, complemented
6#21448883C211yesmaximal, characteristic, complemented
7#21448882C211yesmaximal, characteristic, complemented
8#21448858C211yesmaximal, characteristic, complemented
9#21448852C211yesmaximal, characteristic, complemented
10#21448838C211yesmaximal, characteristic, complemented
11#21448832C211yesmaximal, characteristic, complemented
12#21448801C211yesmaximal, characteristic, complemented
13#21448795C211yesmaximal, characteristic, complemented
14#21448713C211yesmaximal, characteristic, complemented
15#21448707C211yesmaximal, characteristic, complemented
16#21448637C211yesmaximal, characteristic, complemented
17#21448637C211yesmaximal, characteristic, complemented
18#21448634C211yesmaximal, characteristic, complemented
19#21448631C211yesmaximal, characteristic, complemented
20#21448631C211yesmaximal, characteristic, complemented
21#21448511C211yesmaximal, characteristic, complemented
22#21448507C211yesmaximal, characteristic, complemented
23#21448481C211yesmaximal, characteristic, complemented
24#21448479C211yesmaximal, characteristic, complemented
25#21448476C211yesmaximal, characteristic, complemented
26#21448472C211yesmaximal, characteristic, complemented
27#21448410C211yesmaximal, characteristic, complemented
28#21448331C211yesmaximal, characteristic, complemented
29C4×#14519750C211yesmaximal, characteristic, complemented
30#21448308C211yesmaximal, characteristic, complemented
31C61×#2337C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840330C4116yescomplemented
35C2×#14519774C2211yescharacteristic
36C2×#14519773C2211yescharacteristic
37C2×#14519766C2211yescharacteristic
38C2×#14519750C2211yescharacteristic
39C2×#14519750C2211yescharacteristic
40C2×#14519750C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×#14519747C2211yescharacteristic
44C2×#14519747C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×C4×D244C2211yescharacteristic, complemented
47C2×C4×D244C2211yescharacteristic, complemented
48C2×#14519739C2211yescharacteristic, complemented
49C2×#14519739C2211yescharacteristic, complemented
50C2×C4×C22⋊D61C2211yescharacteristic
51C2×C4×C22⋊D61C2211yescharacteristic
52C2×C4×C22⋊D61C2211yescharacteristic, complemented
53C2×C4×C22⋊D61C2211yescharacteristic, complemented
54C2×#14519737C2211yescharacteristic
55C2×#14519737C2211yescharacteristic
56C2×#14519737C2211yescharacteristic, complemented
57C2×#14519737C2211yescharacteristic, complemented
58C2×#14519735C2211yescharacteristic, complemented
59C2×#14519734C2211yescharacteristic
60C2×#14519734C2211yescharacteristic, complemented
61C2×C4⋊C4×D61C2211yescharacteristic, complemented
62C22×#11758198C2211yescharacteristic
63C22×#11758198C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65C2×C22⋊C4×D61C2211yescharacteristic
66C2×C42×D61C2211yescharacteristic, complemented
67#16839669C2211yescharacteristic, complemented
68#16839669C2211yescharacteristic, complemented
69#16839664C2211yescharacteristic
70#16839664C2211yescharacteristic
71#16839664C2211yescharacteristic, complemented
72#16839664C2211yescharacteristic, complemented
73#16839663C2211yescharacteristic
74#16839663C2211yescharacteristic
75#16839663C2211yescharacteristic, complemented
76#16839663C2211yescharacteristic, complemented
77#16839662C2211yescharacteristic
78#16839662C2211yescharacteristic
79#16839662C2211yescharacteristic
80#16839662C2211yescharacteristic
81#16839662C2211yescharacteristic, complemented
82#16839662C2211yescharacteristic, complemented
83#16839662C2211yescharacteristic, complemented
84#16839662C2211yescharacteristic, complemented
85#16839659C2211yescharacteristic, complemented
86#16839659C2211yescharacteristic, complemented
87#16839657C2211yescharacteristic, complemented
88#16839657C2211yescharacteristic, complemented
89#16839655C2211yescharacteristic, complemented
90#16839655C2211yescharacteristic, complemented
91#16839655C2211yescharacteristic, complemented
92#16839655C2211yescharacteristic, complemented
93#16839654C2211yescharacteristic
94#16839654C2211yescharacteristic
95#16839654C2211yescharacteristic, complemented
96#16839654C2211yescharacteristic, complemented
97#16839653C2211yescharacteristic
98#16839653C2211yescharacteristic
99#16839653C2211yescharacteristic, complemented
100#16839653C2211yescharacteristic, complemented
101#16839652C2211yescharacteristic
102#16839652C2211yescharacteristic
103#16839652C2211yescharacteristic, complemented
104#16839652C2211yescharacteristic, complemented
105#16839651C2211yescharacteristic
106#16839651C2211yescharacteristic
107#16839651C2211yescharacteristic, complemented
108#16839651C2211yescharacteristic, complemented
109#16839642C2211yescharacteristic
110#16839642C2211yescharacteristic
111#16839641C2211yescharacteristic, complemented
112#16839641C2211yescharacteristic, complemented
113#16839640C2211yescharacteristic
114#16839640C2211yescharacteristic
115#16839640C2211yescharacteristic
116#16839640C2211yescharacteristic
117#16839640C2211yescharacteristic
118#16839640C2211yescharacteristic
119#16839640C2211yescharacteristic
120#16839640C2211yescharacteristic
121#16839640C2211yescharacteristic, complemented
122#16839640C2211yescharacteristic, complemented
123#16839640C2211yescharacteristic, complemented
124#16839640C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic, complemented
126#16839640C2211yescharacteristic, complemented
127#16839640C2211yescharacteristic, complemented
128#16839640C2211yescharacteristic, complemented
129#16839640C2211yescharacteristic, complemented
130#16839640C2211yescharacteristic, complemented
131#16839640C2211yescharacteristic, complemented
132#16839640C2211yescharacteristic, complemented
133#16839639C2211yescharacteristic, complemented
134#16839639C2211yescharacteristic, complemented
135#16839638C2211yescharacteristic, complemented
136#16839638C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic, complemented
139#16839637C2211yescharacteristic, complemented
140#16839637C2211yescharacteristic, complemented
141#16839636C2211yescharacteristic, complemented
142#16839636C2211yescharacteristic, complemented
143#16839633C2211yescharacteristic, complemented
144#16839633C2211yescharacteristic, complemented
145#16839630C2211yescharacteristic, complemented
146#16839629C2211yescharacteristic, complemented
147#16839629C2211yescharacteristic, complemented
148#16839621C2211yescharacteristic
149#16839621C2211yescharacteristic
150#16839621C2211yescharacteristic, complemented
151#16839621C2211yescharacteristic, complemented
152#16839617C2211yescharacteristic
153#16839617C2211yescharacteristic
154#16839617C2211yescharacteristic
155#16839617C2211yescharacteristic
156C4×#11758196C2211yescharacteristic, complemented
157C4×#11758196C2211yescharacteristic, complemented
158C4×C4⋊Dic61C2211yescharacteristic, complemented
159#16839613C2211yescharacteristic, complemented
160#16839613C2211yescharacteristic, complemented
161#16839613C2211yescharacteristic, complemented
162#16839613C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C4×#11758198C2211yescharacteristic, complemented
166C4×#11758198C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839609C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic, complemented
173C2×#124×C61C2211yescharacteristic
174C61×#391C2211yescharacteristic, complemented
175C61×#391C2211yescharacteristic, complemented
176C61×#388C2211yescharacteristic, complemented
177C61×#388C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#385C2211yescharacteristic, complemented
183C61×#385C2211yescharacteristic, complemented
184C61×#383C2211yescharacteristic, complemented
185C4×C4⋊C4×C61C2211yescharacteristic, complemented
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758226—42no—
191C2×#11758226—42no—
192C2×#11758226C2×C418yescomplemented
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C2×D4×D61—42no—
208C2×D4×D61—42no—
209C2×D4×D61C2×C418yescomplemented
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223#14519774C2×C418yescomplemented
224#14519773C2×C418yescomplemented
225#14519766C2×C418yescomplemented
226#14519750C2×C418yescomplemented
227#14519750C2×C418yescomplemented
228#14519750C2×C418yescomplemented
229#14519750C2×C418yescomplemented
230#14519747C2×C418yescomplemented
231#14519747C2×C418yescomplemented
232#14519747C2×C418yescomplemented
233#14519747C2×C418yescomplemented
234C4×D244—42no—
235C4×D244—42no—
236#14519739—42no—
237#14519739—42no—
238C4×C22⋊D61—42no—
239C4×C22⋊D61—42no—
240C4×C22⋊D61—42no—
241C4×C22⋊D61—42no—
242#14519737—42no—
243#14519737—42no—
244#14519737—42no—
245#14519737—42no—
246#14519735—42no—
247#14519734—42no—
248#14519734C2×C418yescomplemented
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C4⋊C4×D61—42no—
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×#11758198—42no—
271C2×#11758198—42no—
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×#11758198C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C22⋊C4×D61—42no—
311C22⋊C4×D61—42no—
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C42×D61—42no—
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346C22×Q8×C61C2311yescharacteristic
347C22×D4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350#124×C61C2×C418yescomplemented
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366C2×C42×C61C2311yescharacteristic
367C2×C42×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376#95×C61C2311yescharacteristic
377#95×C61C2311yescharacteristic
378#95×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382C24×C61C2411yescharacteristic
383C24×C61C2411yescharacteristic
384C23×D61—41no—
385C23×D61—41no—
386C23×D61—41no—
387C23×D61—41no—
388C23×D61—41no—
389C23×D61—41no—
390C23×D61—41no—
391C23×D61—41no—
392C23×D61—41no—
393C23×D61—41no—
394C23×D61—41no—
395C23×D61—41no—
396C23×D61C22×C414yes—
397C23×D61C22×C414yes—
398C23×D61C2411yescharacteristic
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C2×Q8×C61—41no—
404C2×Q8×C61—41no—
405C2×Q8×C61C22×C414yes—
406C2×D4×C61—41no—
407C2×D4×C61—41no—
408C2×D4×C61C22×C414yes—
409C22×C4×C61—22no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61C2411yescharacteristic
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—41no—
433C2×C22⋊D61—41no—
434C2×C22⋊D61—41no—
435C2×C22⋊D61—41no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61C22×C414yes—
441C2×C22⋊D61C22×C414yes—
442C2×C22⋊D61C22×C414yes—
443C2×C22⋊D61C22×C414yes—
444C2×C22⋊D61C22×C414yes—
445C2×C22⋊D61C22×C414yes—
446C22×Dic61—22no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463#11758226—416no—
464D4×D61—416no—
465C2×D244—41no—
466C2×D244—41no—
467C2×D244—41no—
468C2×D244—41no—
469C2×D244—41no—
470C2×D244—41no—
471C2×D244—41no—
472C2×D244—41no—
473C2×D244—41no—
474C2×D244—41no—
475C2×D244—41no—
476C2×D244—41no—
477C2×D244—41no—
478C2×D244—41no—
479C2×D244—41no—
480C2×D244—41no—
481C2×D244C22×C414yes—
482C2×D244C22×C414yes—
483C2×D244C22×C414yes—
484C2×D244C22×C414yes—
485C2×D244C22×C414yes—
486C2×D244C22×C414yes—
487C2×D244C22×C414yes—
488C2×D244C22×C414yes—
489C2×C4×D61—22no—
490C2×C4×D61—22no—
491C2×C4×D61—22no—
492C2×C4×D61—22no—
493C2×C4×D61—22no—
494C2×C4×D61—22no—
495C2×C4×D61—22no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—41no—
500C2×C4×D61—41no—
501C2×C4×D61—41no—
502C2×C4×D61—41no—
503C2×C4×D61—41no—
504C2×C4×D61—41no—
505C2×C4×D61—41no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—41no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61—41no—
514C2×C4×D61—41no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61C22×C414yes—
520C2×C4×D61C22×C414yes—
521C2×C4×D61C22×C414yes—
522C4⋊C4×C61—22no—
523C4⋊C4×C61—41no—
524C4⋊C4×C61—41no—
525C4⋊C4×C61—41no—
526C22⋊C4×C61—22no—
527C22⋊C4×C61—41no—
528C22⋊C4×C61—41no—
529C22⋊C4×C61—41no—
530C22⋊C4×C61—41no—
531C22⋊C4×C61—41no—
532C22⋊C4×C61C22×C414yes—
533C22⋊C4×C61C22×C414yes—
534C22⋊C4×C61C22×C414yes—
535C22⋊C4×C61C22×C414yes—
536C42×C61—41no—
537C42×C61—41no—
538C42×C61—41no—
539C42×C61—41no—
540C42×C61C22×C414yes—
541C22⋊Dic61—22no—
542C22⋊Dic61—41no—
543C22⋊Dic61—41no—
544C22⋊Dic61—41no—
545C22⋊Dic61—41no—
546C22⋊Dic61—41no—
547#11758198—22no—
548#11758198—22no—
549#11758198—22no—
550#11758198—22no—
551#11758198—22no—
552#11758198—22no—
553#11758198—41no—
554#11758198—41no—
555#11758198—41no—
556#11758198—41no—
557#11758198—41no—
558#11758198—41no—
559#11758198—41no—
560#11758198—41no—
561#11758198—41no—
562#11758198—41no—
563#11758198—41no—
564#11758198—41no—
565#11758198—41no—
566#11758198—41no—
567#11758198—41no—
568#11758198—41no—
569#11758198—41no—
570#11758198—41no—
571#11758198—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198C22×C414yes—
580#11758198C22×C414yes—
581#11758198C22×C414yes—
582#11758198C22×C414yes—
583#11758198C22×C414yes—
584#11758198C22×C414yes—
585C4⋊Dic61—22no—
586C4⋊Dic61—41no—
587C4⋊Dic61—41no—
588C4⋊Dic61—41no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—41no—
596#11758196—41no—
597#11758196C22×C414yes—
598#11758196C22×C414yes—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—41no—
604C4×Dic61—41no—
605C4×Dic61—41no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C4×Dic61—41no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61C22×C414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—21no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61C23×C412yes—
625C23×C61C23×C412yes—
626C23×C61C2511yescharacteristic
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—21no—
632C22×D61—21no—
633C22×D61—21no—
634C22×D61—21no—
635C22×D61—21no—
636C22×D61—21no—
637C22×D61—21no—
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—44no—
658C22×D61—44no—
659C22×D61—44no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61—82no—
664C22×D61—82no—
665C22×D61—82no—
666C22×D61—82no—
667C22×D61—82no—
668C22×D61—82no—
669C22×D61—82no—
670C22×D61—82no—
671C22×D61C23×C412yes—
672C22×D61C23×C412yes—
673C22×D61C23×C412yes—
674C22×D61C23×C412yes—
675C22×D61C23×C412yes—
676Q8×C61—44no—
677D4×C61—44no—
678C2×C4×C61—21no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—82no—
712C2×C4×C61—82no—
713C2×C4×C61C23×C412yes—
714C2×C4×C61C23×C412yes—
715C2×C4×C61C23×C412yes—
716C2×C4×C61C23×C412yes—
717C2×C4×C61C23×C412yes—
718C2×C4×C61H(5,𝔽2)12yes—
719C22⋊D61—28no—
720C22⋊D61—28no—
721C22⋊D61—44no—
722C22⋊D61—44no—
723C22⋊D61—44no—
724C22⋊D61—44no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—82no—
753C2×Dic61—82no—
754C2×Dic61C23×C412yes—
755C2×Dic61C23×C412yes—
756C2×Dic61C23×C412yes—
757C2×Dic61H(5,𝔽2)12yes—
758C2×Dic61H(5,𝔽2)12yes—
759C2×Dic61H(5,𝔽2)12yes—
760D244—44no—
761D244—44no—
762D244—44no—
763D244—44no—
764D244—44no—
765D244—44no—
766D244—44no—
767D244—44no—
768C4×D61—28no—
769C4×D61—28no—
770C4×D61—28no—
771C4×D61—44no—
772C4×D61—44no—
773C4×D61—82no—
774C4×D61—82no—
775C4×D61—82no—
776C4×D61—82no—
777C4×D61—82no—
778C4×D61—82no—
779#34411—611nomaximal, Sylow
780C22×C61—22no—
781C22×C61—22no—
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—41no—
787C22×C61—41no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61C24×C411yescharacteristic
795C22×C61C2×H(5,𝔽2)11yescharacteristic
796C22×C61C2×H(5,𝔽2)11yescharacteristic
797C22×C61C2×H(5,𝔽2)11yescharacteristic
798C22×C61C2×H(5,𝔽2)11yescharacteristic
799C22×C61#58511yescharacteristic
800C22×C61#58511yescharacteristic
801C2×D61—22no—
802C2×D61—22no—
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—22no—
806C2×D61—22no—
807C2×D61—22no—
808C2×D61—22no—
809C2×D61—22no—
810C2×D61—22no—
811C2×D61—22no—
812C2×D61—22no—
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61—41no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—88no—
837C2×D61—88no—
838C4×C61—22no—
839C4×C61—22no—
840C4×C61—22no—
841C4×C61—22no—
842C4×C61—22no—
843C4×C61—22no—
844C4×C61—41no—
845C4×C61—41no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851Dic61—22no—
852Dic61—22no—
853Dic61—22no—
854Dic61—41no—
855Dic61—41no—
856Dic61—41no—
857Dic61—41no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61#51814yes—
862C2×#535—611no—
863#2380—611no—
864#2380—611no—
865#2375—611no—
866#2375—611no—
867#2366—611no—
868#2366—611no—
869#2363—611no—
870#2363—611no—
871#2361—611no—
872#2361—611no—
873#2358—611no—
874#2358—611no—
875#2347—611no—
876#2347—611no—
877D4×C22⋊C4—611no—
878D4×C22⋊C4—611no—
879#2337—611no—
880#2337—611no—
881#2337—611no—
882#2337D6111yescharacteristic, complemented
883#2324—611no—
884#2324—611no—
885#2321—611no—
886#2321—611no—
887#2321—611no—
888#2321—611no—
889#2311—611no—
890C4×#121—611no—
891C4×#121—611no—
892#2297—611no—
893C2×C61—42no—
894C2×C61—42no—
895C2×C61C2×#51811yescharacteristic
896C2×C61C4×H(5,𝔽2)11yescharacteristic
897C2×C61C4×H(5,𝔽2)11yescharacteristic
898C2×C61#353711yescharacteristic
899C2×C61#354011yescharacteristic
900C2×C61#354611yescharacteristic
901C2×C61#354611yescharacteristic
902D61—42no—
903D61—42no—
904D61—42no—
905D61—42no—
906D61—42no—
907C22×#41—611no—
908C23×D4—611no—
909#535—6116no—
910C2×#127—611no—
911C2×#127—611no—
912C2×#124—611no—
913C2×#124C2×D6111yescharacteristic
914C2×#121—611no—
915C2×#121—611no—
916C2×#121—611no—
917C2×#121—611no—
918C2×#120—611no—
919C2×#120—611no—
920C2×#120—611no—
921C2×#120—611no—
922C2×C4×D4—611no—
923C2×C4×D4—611no—
924C2×C4×D4—611no—
925C2×C4×D4—611no—
926C2×C4×D4—611no—
927C2×C4×D4—611no—
928C2×C4×D4—611no—
929C2×C4×D4—611no—
930C2×C4×D4—611no—
931C2×C4×D4—611no—
932C2×C4×D4—611no—
933C2×C4×D4—611no—
934C2×#117—611no—
935C2×#117—611no—
936C2×#117—611no—
937C22×C4⋊C4—611no—
938C22×C22⋊C4—611no—
939C22×C22⋊C4—611no—
940C22×C22⋊C4—611no—
941C22×C22⋊C4—611no—
942C22×C42—611no—
943#391—611no—
944#391—611no—
945#391C2×D6111yescharacteristic, complemented
946#391C2×D6111yescharacteristic, complemented
947#390—611no—
948#390—611no—
949#390—611no—
950#390—611no—
951#390—611no—
952#390—611no—
953#390—611no—
954#390—611no—
955#390—611no—
956#390—611no—
957#390—611no—
958#390—611no—
959#390—611no—
960#390—611no—
961#390—611no—
962#390—611no—
963#389—611no—
964#389—611no—
965#389—611no—
966#389—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#388—611no—
981#388—611no—
982#388—611no—
983#388—611no—
984#388—611no—
985#388—611no—
986#388—611no—
987#388C2×D6111yescharacteristic, complemented
988#388C2×D6111yescharacteristic, complemented
989#388C2×D6111yescharacteristic, complemented
990#388C2×D6111yescharacteristic, complemented
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386—611no—
999#386—611no—
1000#386—611no—
1001#386—611no—
1002#386—611no—
1003#386—611no—
1004#386—611no—
1005#386—611no—
1006#386—611no—
1007#386—611no—
1008#386—611no—
1009#386—611no—
1010#386—611no—
1011#386—611no—
1012#386—611no—
1013#386—611no—
1014#386—611no—
1015#386—611no—
1016#386—611no—
1017#386—611no—
1018#386—611no—
1019#386—611no—
1020#386—611no—
1021#386C2×D6111yescharacteristic
1022#386C2×D6111yescharacteristic
1023#385—611no—
1024#385—611no—
1025#385—611no—
1026#385—611no—
1027#385—611no—
1028#385—611no—
1029#385C2×D6111yescharacteristic, complemented
1030#385C2×D6111yescharacteristic, complemented
1031#383—611no—
1032#383—611no—
1033#383—611no—
1034#383C2×D6111yescharacteristic, complemented
1035#380—611no—
1036#380—611no—
1037#380—611no—
1038#380—611no—
1039#379—611no—
1040#379—611no—
1041#379—611no—
1042#379—611no—
1043C4×C4⋊C4—611no—
1044C4×C4⋊C4—611no—
1045C4×C4⋊C4—611no—
1046C4×C4⋊C4—611no—
1047C4×C4⋊C4—611no—
1048C4×C4⋊C4—611no—
1049C4×C4⋊C4—611no—
1050C4×C4⋊C4C2×D6111yescharacteristic, complemented
1051C4×C22⋊C4—611no—
1052C4×C22⋊C4—611no—
1053C4×C22⋊C4—611no—
1054C4×C22⋊C4—611no—
1055C4×C22⋊C4—611no—
1056C4×C22⋊C4—611no—
1057C4×C22⋊C4—611no—
1058C4×C22⋊C4—611no—
1059C4×C22⋊C4—611no—
1060C4×C22⋊C4—611no—
1061C4×C22⋊C4C2×D6111yescharacteristic, complemented
1062C4×C22⋊C4C2×D6111yescharacteristic, complemented
1063C61#3441111yescharacteristic, complemented, Sylow
1064C25—611no—
1065C25—611no—
1066C2×#41—618no—
1067C2×#41—2442no—
1068C2×#41—2442no—
1069C22×Q8C22×D6111yescharacteristic
1070C22×D4—611no—
1071C22×D4—611no—
1072C22×D4—611no—
1073C22×D4—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—618no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—2442no—
1086C22×D4—2442no—
1087C22×D4C22×D6111yescharacteristic
1088C23×C4—611no—
1089C23×C4—611no—
1090C23×C4—611no—
1091C23×C4—611no—
1092C23×C4—611no—
1093C23×C4—611no—
1094C23×C4—611no—
1095C23×C4—611no—
1096C23×C4—611no—
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4C22×D6111yescharacteristic
1102C23×C4C22×D6111yescharacteristic
1103#127—618no—
1104#127—618no—
1105#124—618no—
1106#124C4×D6118yescomplemented
1107#121—618no—
1108#121—618no—
1109#121—618no—
1110#121—618no—
1111#120—618no—
1112#120—618no—
1113#120—618no—
1114#120—618no—
1115C4×D4—2442no—
1116C4×D4—2442no—
1117C4×D4—2442no—
1118C4×D4—2442no—
1119C4×D4—2442no—
1120C4×D4—2442no—
1121C4×D4—2442no—
1122C4×D4—2442no—
1123C4×D4—2442no—
1124C4×D4—2442no—
1125C4×D4—2442no—
1126C4×D4—2442no—
1127#117—618no—
1128#117—2442no—
1129#117—2442no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4—611no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—2442no—
1145C2×C4⋊C4C22×D6111yescharacteristic
1146C2×C4⋊C4C22×D6111yescharacteristic
1147C2×C4⋊C4C22×D6111yescharacteristic
1148C2×C4⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—2442no—
1194C2×C22⋊C4—2442no—
1195C2×C22⋊C4—2442no—
1196C2×C22⋊C4—2442no—
1197C2×C22⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4C22×D6111yescharacteristic
1199C2×C22⋊C4C22×D6111yescharacteristic
1200C2×C22⋊C4C22×D6111yescharacteristic
1201C2×C22⋊C4C22×D6111yescharacteristic
1202C2×C22⋊C4C22×D6111yescharacteristic
1203C2×C22⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4C22×D6111yescharacteristic
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C42—611no—
1208C2×C42—611no—
1209C2×C42—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—611no—
1215C2×C42—611no—
1216C2×C42—611no—
1217C2×C42—611no—
1218C2×C42—611no—
1219C2×C42—611no—
1220C2×C42—2442no—
1221C2×C42C22×D6111yescharacteristic
1222C2×C42C22×D6111yescharacteristic
1223C2×C42C22×D6111yescharacteristic
1224C2×C42C22×D6111yescharacteristic
1225C2×C42C22×D6111yescharacteristic
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95C22×D6111yescharacteristic
1247#95C22×D6111yescharacteristic
1248#95C22×D6111yescharacteristic
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253#95C22×D6111yescharacteristic
1254#95C22×D6111yescharacteristic
1255#95C22×D6111yescharacteristic
1256#95C22×D6111yescharacteristic
1257#95C22×D6111yescharacteristic
1258C24—611no—
1259C24—611no—
1260C24—611no—
1261C24—611no—
1262C24—611no—
1263C24—614no—
1264C24—614no—
1265C24—2441no—
1266C24—2441no—
1267C24—2441no—
1268C24—2441no—
1269C24—2441no—
1270C24—2441no—
1271C24—2441no—
1272C24—2441no—
1273C24—2441no—
1274C24—2441no—
1275C24—2441no—
1276C24—2441no—
1277C24C23×D6111yescharacteristic
1278C24C23×D6111yescharacteristic
1279#41—24416no—
1280C2×Q8—41no—
1281C2×Q8—41no—
1282C2×Q8C2×C4×D6114yes—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—614no—
1286C2×D4—614no—
1287C2×D4—614no—
1288C2×D4—614no—
1289C2×D4—614no—
1290C2×D4—614no—
1291C2×D4—614no—
1292C2×D4—614no—
1293C2×D4—614no—
1294C2×D4—614no—
1295C2×D4—614no—
1296C2×D4—614no—
1297C2×D4—614no—
1298C2×D4—614no—
1299C2×D4—1222no—
1300C2×D4—1222no—
1301C2×D4—1222no—
1302C2×D4—1222no—
1303C2×D4—2441no—
1304C2×D4—2441no—
1305C2×D4—2441no—
1306C2×D4—2441no—
1307C2×D4—2441no—
1308C2×D4—2441no—
1309C2×D4—2441no—
1310C2×D4—2441no—
1311C2×D4—2441no—
1312C2×D4—2441no—
1313C2×D4—2441no—
1314C2×D4—2441no—
1315C2×D4—2441no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—24416no—
1320C2×D4—2441no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4C2×C4×D6114yes—
1329C22×C4—22no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—611no—
1336C22×C4—611no—
1337C22×C4—611no—
1338C22×C4—611no—
1339C22×C4—614no—
1340C22×C4—614no—
1341C22×C4—614no—
1342C22×C4—611no—
1343C22×C4—611no—
1344C22×C4—611no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—1222no—
1350C22×C4—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—1222no—
1354C22×C4—1222no—
1355C22×C4—1222no—
1356C22×C4—1222no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—2441no—
1361C22×C4—2441no—
1362C22×C4—2441no—
1363C22×C4—2441no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—2441no—
1369C22×C4—2441no—
1370C22×C4—2441no—
1371C22×C4—2441no—
1372C22×C4—2441no—
1373C22×C4—2441no—
1374C22×C4—2441no—
1375C22×C4—2441no—
1376C22×C4—2441no—
1377C22×C4—2441no—
1378C22×C4—2441no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—2441no—
1385C22×C4C23×D6111yescharacteristic
1386C22×C4C23×D6111yescharacteristic
1387C22×C4C23×D6111yescharacteristic
1388C22×C4C23×D6111yescharacteristic
1389C22×C4C23×D6111yescharacteristic
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392C22×C4C23×D6111yescharacteristic
1393C22×C4C23×D6111yescharacteristic
1394C22×C4C23×D6111yescharacteristic
1395C22×C4C23×D6111yescharacteristic
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398C4⋊C4—22no—
1399C4⋊C4—41no—
1400C4⋊C4—41no—
1401C4⋊C4—41no—
1402C4⋊C4—614no—
1403C4⋊C4—614no—
1404C4⋊C4—1222no—
1405C4⋊C4—1222no—
1406C4⋊C4—1222no—
1407C4⋊C4—1222no—
1408C4⋊C4—1222no—
1409C4⋊C4—1222no—
1410C4⋊C4—1222no—
1411C4⋊C4—2441no—
1412C4⋊C4—2441no—
1413C4⋊C4—2441no—
1414C4⋊C4—2441no—
1415C4⋊C4—2441no—
1416C22⋊C4—22no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—614no—
1423C22⋊C4—614no—
1424C22⋊C4—614no—
1425C22⋊C4—614no—
1426C22⋊C4—614no—
1427C22⋊C4—614no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—2441no—
1436C22⋊C4—2441no—
1437C22⋊C4—2441no—
1438C22⋊C4—2441no—
1439C22⋊C4—2441no—
1440C22⋊C4—2441no—
1441C22⋊C4—2441no—
1442C22⋊C4—2441no—
1443C22⋊C4—2441no—
1444C22⋊C4—2441no—
1445C22⋊C4—2441no—
1446C22⋊C4—2441no—
1447C22⋊C4—2441no—
1448C22⋊C4—2441no—
1449C22⋊C4—2441no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4—2441no—
1459C22⋊C4—2441no—
1460C22⋊C4—2441no—
1461C22⋊C4—2441no—
1462C22⋊C4—2441no—
1463C22⋊C4—2441no—
1464C22⋊C4—2441no—
1465C22⋊C4—2441no—
1466C22⋊C4C2×C4×D6114yes—
1467C22⋊C4C2×C4×D6114yes—
1468C22⋊C4C2×C4×D6114yes—
1469C22⋊C4C2×C4×D6114yes—
1470C42—41no—
1471C42—41no—
1472C42—41no—
1473C42—41no—
1474C42—614no—
1475C42—1222no—
1476C42—1222no—
1477C42—1222no—
1478C42—1222no—
1479C42—2441no—
1480C42—2441no—
1481C42—2441no—
1482C42—2441no—
1483C42—2441no—
1484C42—2441no—
1485C42—2441no—
1486C42—2441no—
1487C42C2×C4×D6114yes—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—612no—
1501C23—612no—
1502C23—612no—
1503C23—612no—
1504C23—612no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—1221no—
1512C23—1221no—
1513C23—1221no—
1514C23—1221no—
1515C23—1221no—
1516C23—1221no—
1517C23—1221no—
1518C23—1221no—
1519C23—1221no—
1520C23—1221no—
1521C23—1221no—
1522C23—1221no—
1523C23—1221no—
1524C23—1221no—
1525C23—1221no—
1526C23—1221no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—4882no—
1536C23—4882no—
1537C23—4882no—
1538C23—4882no—
1539C23—4882no—
1540C23—4882no—
1541C23—4882no—
1542C23—4882no—
1543C23—2444no—
1544C23—2444no—
1545C23—2444no—
1546C23—2444no—
1547C23—2444no—
1548C23—2444no—
1549C23C22×C4×D6112yes—
1550C23C22×C4×D6112yes—
1551C23C24×D6111yescharacteristic
1552Q8—44no—
1553D4—44no—
1554D4—1228no—
1555D4—1228no—
1556D4—2444no—
1557D4—2444no—
1558D4—2444no—
1559D4—2444no—
1560D4—2444no—
1561D4—2444no—
1562D4—2444no—
1563D4—2444no—
1564D4—2444no—
1565D4—2444no—
1566D4—2444no—
1567D4—2444no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—612no—
1604C2×C4—612no—
1605C2×C4—612no—
1606C2×C4—612no—
1607C2×C4—612no—
1608C2×C4—612no—
1609C2×C4—1228no—
1610C2×C4—1228no—
1611C2×C4—1228no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—1221no—
1619C2×C4—1221no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—4882no—
1640C2×C4—4882no—
1641C2×C4—4882no—
1642C2×C4—4882no—
1643C2×C4—4882no—
1644C2×C4—4882no—
1645C2×C4—4882no—
1646C2×C4—4882no—
1647C2×C4—2444no—
1648C2×C4—2444no—
1649C2×C4C22×C4×D6112yes—
1650C2×C4C22×C4×D6112yes—
1651C2×C4C22×C4×D6112yes—
1652C2×C4C22×C4×D6112yes—
1653C2×C4C22×C4×D6112yes—
1654C2×C4#1451982312yes—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—22no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—1222no—
1670C22—1222no—
1671C22—1222no—
1672C22—1222no—
1673C22—1222no—
1674C22—1222no—
1675C22—1222no—
1676C22—1222no—
1677C22—1222no—
1678C22—1222no—
1679C22—1222no—
1680C22—1222no—
1681C22—1222no—
1682C22—1222no—
1683C22—1222no—
1684C22—4888no—
1685C22—4888no—
1686C22—2441no—
1687C22—2441no—
1688C22—2441no—
1689C22—2441no—
1690C22—2441no—
1691C22—2441no—
1692C22—2441no—
1693C22—2441no—
1694C22—2441no—
1695C22—2441no—
1696C22—2441no—
1697C22—2441no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22—2441no—
1704C22—2441no—
1705C22—2441no—
1706C22C23×C4×D6111yescharacteristic
1707C22H(5,𝔽2)×D6111yescharacteristic
1708C22H(5,𝔽2)×D6111yescharacteristic
1709C22H(5,𝔽2)×D6111yescharacteristic
1710C22C2×#1451982311yescharacteristic
1711C22#1684059811yescharacteristic
1712C22#1684059911yescharacteristic
1713C4—22no—
1714C4—22no—
1715C4—22no—
1716C4—22no—
1717C4—22no—
1718C4—22no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—614no—
1727C4—1222no—
1728C4—1222no—
1729C4—1222no—
1730C4—2441no—
1731C4—2441no—
1732C4—2441no—
1733C4—2441no—
1734C4—2441no—
1735C4—2441no—
1736C4—2441no—
1737C2—42no—
1738C2—42no—
1739C2—2442no—
1740C2—2442no—
1741C2—2442no—
1742C2—2442no—
1743C2—2442no—
1744C2#518×D6111yescharacteristic
1745C2#2145902511yescharacteristic
1746C2C4×#1451982311yescharacteristic
1747C2#2146005111yescharacteristic
1748C2#2146008411yescharacteristic
1749C2#2146018411yescharacteristic
1750C2#2146018811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2337C2
socle, cosocleC23×C61C25
prime radicalC2×#16840330C2
hypercenter#2337D61
hypocenterC61#34411
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2337

Complements

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

NH ≅ G/Ntype
2. #21448995C2semidirect
3. #21448994C2semidirect
4. #21448959C2semidirect
5. #21448959C2semidirect
6. #21448883C2semidirect
7. #21448882C2semidirect
8. #21448858C2semidirect
9. #21448852C2semidirect
10. #21448838C2semidirect
11. #21448832C2semidirect
12. #21448801C2semidirect
13. #21448795C2semidirect
14. #21448713C2semidirect
15. #21448707C2semidirect
16. #21448637C2semidirect
17. #21448637C2semidirect
18. #21448634C2semidirect
19. #21448631C2semidirect
20. #21448631C2semidirect
21. #21448511C2semidirect
22. #21448507C2semidirect
23. #21448481C2semidirect
24. #21448479C2semidirect
25. #21448476C2semidirect
26. #21448472C2semidirect
27. #21448410C2semidirect
28. #21448331C2semidirect
29. C4×#14519750C2semidirect
30. #21448308C2semidirect
31. C61×#2337C2semidirect
34. #16840330C4semidirect
46. C2×C4×D244C22semidirect
47. C2×C4×D244C22semidirect
48. C2×#14519739C22semidirect
49. C2×#14519739C22semidirect
52. C2×C4×C22⋊D61C22semidirect
53. C2×C4×C22⋊D61C22semidirect
56. C2×#14519737C22semidirect
57. C2×#14519737C22semidirect
58. C2×#14519735C22semidirect
60. C2×#14519734C22semidirect
61. C2×C4⋊C4×D61C22semidirect
66. C2×C42×D61C22semidirect
67. #16839669C22semidirect
68. #16839669C22semidirect
71. #16839664C22semidirect
72. #16839664C22semidirect
75. #16839663C22semidirect
76. #16839663C22semidirect
81. #16839662C22semidirect
82. #16839662C22semidirect
83. #16839662C22semidirect
84. #16839662C22semidirect
85. #16839659C22semidirect
86. #16839659C22semidirect
87. #16839657C22semidirect
88. #16839657C22semidirect
89. #16839655C22semidirect
90. #16839655C22semidirect
91. #16839655C22semidirect
92. #16839655C22semidirect
95. #16839654C22semidirect
96. #16839654C22semidirect
99. #16839653C22semidirect
100. #16839653C22semidirect
103. #16839652C22semidirect
104. #16839652C22semidirect
107. #16839651C22semidirect
108. #16839651C22semidirect
111. #16839641C22semidirect
112. #16839641C22semidirect
121. #16839640C22semidirect
122. #16839640C22semidirect
123. #16839640C22semidirect
124. #16839640C22semidirect
125. #16839640C22semidirect
126. #16839640C22semidirect
127. #16839640C22semidirect
128. #16839640C22semidirect
129. #16839640C22semidirect
130. #16839640C22semidirect
131. #16839640C22semidirect
132. #16839640C22semidirect
133. #16839639C22semidirect
134. #16839639C22semidirect
135. #16839638C22semidirect
136. #16839638C22semidirect
137. #16839638C22semidirect
138. #16839638C22semidirect
139. #16839637C22semidirect
140. #16839637C22semidirect
141. #16839636C22semidirect
142. #16839636C22semidirect
143. #16839633C22semidirect
144. #16839633C22semidirect
145. #16839630C22semidirect
146. #16839629C22semidirect
147. #16839629C22semidirect
150. #16839621C22semidirect
151. #16839621C22semidirect
156. C4×#11758196C22semidirect
157. C4×#11758196C22semidirect
158. C4×C4⋊Dic61C22semidirect
159. #16839613C22semidirect
160. #16839613C22semidirect
161. #16839613C22semidirect
162. #16839613C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C4×#11758198C22semidirect
166. C4×#11758198C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839609C22semidirect
172. #16839609C22semidirect
174. C61×#391C22semidirect
175. C61×#391C22semidirect
176. C61×#388C22semidirect
177. C61×#388C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
182. C61×#385C22semidirect
183. C61×#385C22semidirect
184. C61×#383C22semidirect
185. C4×C4⋊C4×C61C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
192. C2×#11758226C2×C4semidirect
209. C2×D4×D61C2×C4semidirect
223. #14519774C2×C4semidirect
224. #14519773C2×C4semidirect
225. #14519766C2×C4semidirect
226. #14519750C2×C4semidirect
227. #14519750C2×C4semidirect
228. #14519750C2×C4semidirect
229. #14519750C2×C4semidirect
230. #14519747C2×C4semidirect
231. #14519747C2×C4semidirect
232. #14519747C2×C4semidirect
233. #14519747C2×C4semidirect
248. #14519734C2×C4semidirect
350. #124×C61C2×C4semidirect
882. #2337D61semidirect
945. #391C2×D61semidirect
946. #391C2×D61semidirect
987. #388C2×D61semidirect
988. #388C2×D61semidirect
989. #388C2×D61semidirect
990. #388C2×D61semidirect
1029. #385C2×D61semidirect
1030. #385C2×D61semidirect
1034. #383C2×D61semidirect
1050. C4×C4⋊C4C2×D61semidirect
1061. C4×C22⋊C4C2×D61semidirect
1062. C4×C22⋊C4C2×D61semidirect
1063. C61#34411semidirect
1106. #124C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403302
#214489952
#214489942
#214489592
#214488832
#214488822
#214488582
#214488522
#214488382
#214488322
#214488012
#214487952
#214487132
#214487072
#214486372
#214486342
#214486312
#214485112
#214485072
#214484812
#214484792
#214484762
#214484722
#214484102
#214483312
C4×#145197502
#214483082
C61×#23372
#3441161