Finite Group Databasebeta

← #29843366

Subgroups — #29843366

Order 15616.

2874 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840331C211yesmaximal, characteristic
2#21448995C211yesmaximal, characteristic, complemented
3#21448990C211yesmaximal, characteristic, complemented
4#21448974C211yesmaximal, characteristic, complemented
5#21448974C211yesmaximal, characteristic, complemented
6#21448929C211yesmaximal, characteristic, complemented
7#21448883C211yesmaximal, characteristic, complemented
8#21448865C211yesmaximal, characteristic, complemented
9#21448865C211yesmaximal, characteristic, complemented
10#21448801C211yesmaximal, characteristic, complemented
11#21448801C211yesmaximal, characteristic, complemented
12#21448795C211yesmaximal, characteristic, complemented
13#21448795C211yesmaximal, characteristic, complemented
14#21448679C211yesmaximal, characteristic, complemented
15#21448646C211yesmaximal, characteristic, complemented
16#21448643C211yesmaximal, characteristic, complemented
17#21448632C211yesmaximal, characteristic, complemented
18#21448629C211yesmaximal, characteristic, complemented
19#21448583C211yesmaximal, characteristic, complemented
20#21448583C211yesmaximal, characteristic, complemented
21#21448544C211yesmaximal, characteristic, complemented
22#21448542C211yesmaximal, characteristic, complemented
23#21448518C211yesmaximal, characteristic, complemented
24#21448518C211yesmaximal, characteristic, complemented
25#21448479C211yesmaximal, characteristic, complemented
26#21448476C211yesmaximal, characteristic, complemented
27#21448396C211yesmaximal, characteristic, complemented
28C4×#14519747C211yesmaximal, characteristic, complemented
29#21448320C211yesmaximal, characteristic, complemented
30C2×#16839640C211yesmaximal, characteristic, complemented
31C61×#2343C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C23×D244C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840331C4116yescomplemented
36C2×#14519774C2211yescharacteristic
37C2×#14519774C2211yescharacteristic
38C2×#14519765C2211yescharacteristic
39C2×#14519765C2211yescharacteristic
40C2×#14519752C2211yescharacteristic
41C2×#14519752C2211yescharacteristic
42C2×#14519752C2211yescharacteristic
43C2×#14519752C2211yescharacteristic
44C2×#14519747C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×C4×D244C2211yescharacteristic, complemented
49C2×C4×D244C2211yescharacteristic, complemented
50C2×C4×D244C2211yescharacteristic, complemented
51C2×C4×D244C2211yescharacteristic, complemented
52C2×#14519739C2211yescharacteristic, complemented
53C2×#14519739C2211yescharacteristic, complemented
54C2×#14519739C2211yescharacteristic, complemented
55C2×#14519739C2211yescharacteristic, complemented
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic
58C2×#14519737C2211yescharacteristic
59C2×#14519737C2211yescharacteristic
60C22×#11758198C2211yescharacteristic
61C22×#11758198C2211yescharacteristic
62C22×#11758198C2211yescharacteristic
63C2×C22⋊C4×D61C2211yescharacteristic
64C2×C22⋊C4×D61C2211yescharacteristic
65#16839666C2211yescharacteristic, complemented
66#16839666C2211yescharacteristic, complemented
67#16839666C2211yescharacteristic, complemented
68#16839666C2211yescharacteristic, complemented
69#16839664C2211yescharacteristic, complemented
70#16839664C2211yescharacteristic, complemented
71#16839664C2211yescharacteristic, complemented
72#16839664C2211yescharacteristic, complemented
73#16839663C2211yescharacteristic, complemented
74#16839663C2211yescharacteristic, complemented
75#16839663C2211yescharacteristic, complemented
76#16839663C2211yescharacteristic, complemented
77#16839654C2211yescharacteristic, complemented
78#16839654C2211yescharacteristic, complemented
79#16839654C2211yescharacteristic, complemented
80#16839654C2211yescharacteristic, complemented
81#16839653C2211yescharacteristic, complemented
82#16839653C2211yescharacteristic, complemented
83#16839653C2211yescharacteristic, complemented
84#16839653C2211yescharacteristic, complemented
85#16839652C2211yescharacteristic, complemented
86#16839652C2211yescharacteristic, complemented
87#16839652C2211yescharacteristic, complemented
88#16839652C2211yescharacteristic, complemented
89#16839651C2211yescharacteristic, complemented
90#16839651C2211yescharacteristic, complemented
91#16839651C2211yescharacteristic, complemented
92#16839651C2211yescharacteristic, complemented
93#16839648C2211yescharacteristic, complemented
94#16839648C2211yescharacteristic, complemented
95#16839648C2211yescharacteristic, complemented
96#16839648C2211yescharacteristic, complemented
97#16839641C2211yescharacteristic
98#16839641C2211yescharacteristic
99#16839640C2211yescharacteristic
100#16839640C2211yescharacteristic
101#16839640C2211yescharacteristic
102#16839640C2211yescharacteristic
103#16839640C2211yescharacteristic
104#16839640C2211yescharacteristic
105#16839640C2211yescharacteristic
106#16839640C2211yescharacteristic
107#16839640C2211yescharacteristic
108#16839640C2211yescharacteristic
109#16839640C2211yescharacteristic
110#16839640C2211yescharacteristic
111#16839640C2211yescharacteristic
112#16839640C2211yescharacteristic
113#16839640C2211yescharacteristic
114#16839640C2211yescharacteristic
115#16839640C2211yescharacteristic, complemented
116#16839640C2211yescharacteristic, complemented
117#16839640C2211yescharacteristic, complemented
118#16839640C2211yescharacteristic, complemented
119#16839640C2211yescharacteristic, complemented
120#16839640C2211yescharacteristic, complemented
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#16839640C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic, complemented
135#16839639C2211yescharacteristic
136#16839639C2211yescharacteristic
137#16839637C2211yescharacteristic
138#16839637C2211yescharacteristic
139#16839636C2211yescharacteristic, complemented
140#16839636C2211yescharacteristic, complemented
141#16839636C2211yescharacteristic, complemented
142#16839636C2211yescharacteristic, complemented
143#16839633C2211yescharacteristic, complemented
144#16839633C2211yescharacteristic, complemented
145#16839633C2211yescharacteristic, complemented
146#16839633C2211yescharacteristic, complemented
147#16839630C2211yescharacteristic, complemented
148#16839628C2211yescharacteristic, complemented
149#16839625C2211yescharacteristic
150#16839624C2211yescharacteristic, complemented
151#16839624C2211yescharacteristic, complemented
152#16839621C2211yescharacteristic, complemented
153#16839621C2211yescharacteristic, complemented
154#16839617C2211yescharacteristic
155#16839617C2211yescharacteristic
156C4×C4⋊Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C4×#11758198C2211yescharacteristic, complemented
160C4×#11758198C2211yescharacteristic, complemented
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163#16839609C2211yescharacteristic, complemented
164#16839609C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839608C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic
171#95×D61C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C2×#117×C61C2211yescharacteristic
174C61×#387C2211yescharacteristic, complemented
175C61×#387C2211yescharacteristic, complemented
176C61×#387C2211yescharacteristic, complemented
177C61×#387C2211yescharacteristic, complemented
178C61×#385C2211yescharacteristic
179C61×#385C2211yescharacteristic
180C61×#383C2211yescharacteristic, complemented
181C61×#382C2211yescharacteristic, complemented
182C61×#381C2211yescharacteristic
183C4×C4⋊C4×C61C2211yescharacteristic, complemented
184C4×C22⋊C4×C61C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C61×#376C2211yescharacteristic, complemented
187C2×#95×C61C2211yescharacteristic
188C24×D61C2311yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758222—42no—
191C2×#11758222—42no—
192C2×#11758222C2×C418yescomplemented
193C22×Dic122C2311yescharacteristic
194C22×D244—42no—
195C22×D244—42no—
196C22×D244C2×C418yescomplemented
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×D244C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231#14519774C2×C418yescomplemented
232#14519774C2×C418yescomplemented
233#14519765C2×C418yescomplemented
234#14519765C2×C418yescomplemented
235#14519752C2×C418yescomplemented
236#14519752C2×C418yescomplemented
237#14519752C2×C418yescomplemented
238#14519752C2×C418yescomplemented
239#14519747C2×C418yescomplemented
240#14519747C2×C418yescomplemented
241#14519747C2×C418yescomplemented
242#14519747C2×C418yescomplemented
243C4×D244—42no—
244C4×D244—42no—
245C4×D244—42no—
246C4×D244—42no—
247#14519739—42no—
248#14519739—42no—
249#14519739—42no—
250#14519739—42no—
251C4×C22⋊D61—42no—
252C4×C22⋊D61—42no—
253#14519737—42no—
254#14519737—42no—
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×#11758198—42no—
266C2×#11758198—42no—
267C2×#11758198—42no—
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
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
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C22⋊C4×D61—42no—
313C22⋊C4×D61—42no—
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
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
346C23×C4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349#117×C61C2×C418yescomplemented
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C42×C61C2311yescharacteristic
361C2×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364C2×C42×C61C2311yescharacteristic
365C2×C42×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×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
383C23×D61—22no—
384C23×D61—22no—
385C23×D61—22no—
386C23×D61—22no—
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×D61C22×C414yes—
396C23×D61C22×C414yes—
397C23×D61C2411yescharacteristic
398C23×D61C2411yescharacteristic
399C23×D61C2411yescharacteristic
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C22×C4×C61—22no—
404C22×C4×C61—22no—
405C22×C4×C61—22no—
406C22×C4×C61—22no—
407C22×C4×C61—22no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61C22×C414yes—
412C22×C4×C61C2411yescharacteristic
413C22×C4×C61C2411yescharacteristic
414C22×C4×C61C2411yescharacteristic
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
426C2×C22⋊D61—22no—
427C2×C22⋊D61—22no—
428C2×C22⋊D61—22no—
429C2×C22⋊D61—22no—
430C2×C22⋊D61C22×C414yes—
431C2×C22⋊D61C22×C414yes—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448#11758222—416no—
449C2×D244—416no—
450C2×D244—41no—
451C2×D244—41no—
452C2×D244—41no—
453C2×D244—41no—
454C2×D244—41no—
455C2×D244—41no—
456C2×D244—41no—
457C2×D244—41no—
458C2×D244—41no—
459C2×D244—41no—
460C2×D244—41no—
461C2×D244—41no—
462C2×D244—41no—
463C2×D244—41no—
464C2×D244—41no—
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×D244C22×C414yes—
477C2×D244C22×C414yes—
478C2×D244C22×C414yes—
479C2×D244C22×C414yes—
480C2×D244C22×C414yes—
481C2×D244C22×C414yes—
482C2×D244C22×C414yes—
483C2×D244C22×C414yes—
484C2×D244C22×C414yescomplemented
485C2×D244C22×C414yescomplemented
486C2×D244C22×C414yescomplemented
487C2×D244C22×C414yescomplemented
488C2×D244C22×C414yescomplemented
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—41no—
496C2×C4×D61—41no—
497C2×C4×D61—41no—
498C2×C4×D61—41no—
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—416no—
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×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61—41no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61C22×C414yescomplemented
531C2×C4×D61C22×C414yescomplemented
532C2×Dic122—41no—
533C2×Dic122—41no—
534C2×Dic122C22×C414yescomplemented
535C4⋊C4×C61—22no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C4⋊C4×C61—41no—
539C4⋊C4×C61C22×C414yescomplemented
540C4⋊C4×C61C22×C414yescomplemented
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61C22×C414yes—
544C22⋊C4×C61C22×C414yes—
545C42×C61—22no—
546C42×C61—41no—
547C42×C61—41no—
548C42×C61—41no—
549C42×C61C22×C414yescomplemented
550C42×C61C22×C414yescomplemented
551C22⋊Dic61—22no—
552C22⋊Dic61—22no—
553#11758198—22no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
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#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198C22×C414yes—
590#11758198C22×C414yes—
591#11758198C22×C414yes—
592#11758198C22×C414yes—
593#11758198C22×C414yescomplemented
594#11758198C22×C414yescomplemented
595#11758198C22×C414yescomplemented
596#11758198C22×C414yescomplemented
597C4⋊Dic61—22no—
598C4⋊Dic61—41no—
599C4⋊Dic61—41no—
600C4⋊Dic61—41no—
601#11758196—41no—
602#11758196—41no—
603#11758196—41no—
604#11758196—41no—
605C4×Dic61—22no—
606C4×Dic61—41no—
607C4×Dic61—41no—
608C4×Dic61—41no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61—41no—
612C4×Dic61—41no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61C23×C412yes—
618C23×C61H(5,𝔽2)12yes—
619C23×C61H(5,𝔽2)12yes—
620C23×C61C2511yescharacteristic
621C22×D61—28no—
622C22×D61—21no—
623C22×D61—21no—
624C22×D61—21no—
625C22×D61—21no—
626C22×D61—21no—
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—21no—
658C22×D61—28no—
659C22×D61—44no—
660C22×D61—44no—
661C22×D61—44no—
662C22×D61—44no—
663C22×D61—44no—
664C22×D61—44no—
665C22×D61—44no—
666C22×D61—44no—
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—
676C22×D61C23×C412yes—
677C2×C4×C61—28no—
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—21no—
712C2×C4×C61—21no—
713C2×C4×C61—44no—
714C2×C4×C61—82no—
715C2×C4×C61C23×C412yes—
716C2×C4×C61C23×C412yes—
717C2×C4×C61C23×C412yes—
718C2×C4×C61C23×C412yes—
719C2×C4×C61C23×C412yes—
720C2×C4×C61C23×C412yes—
721C2×C4×C61H(5,𝔽2)12yes—
722C22⋊D61—28no—
723C22⋊D61—28no—
724C2×Dic61—21no—
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—44no—
752C2×Dic61—82no—
753C2×Dic61C23×C412yes—
754C2×Dic61C23×C412yes—
755C2×Dic61H(5,𝔽2)12yes—
756D244—44no—
757D244—44no—
758D244—44no—
759D244—44no—
760D244—44no—
761D244—44no—
762D244—44no—
763D244—44no—
764D244—44no—
765D244—44no—
766D244—44no—
767D244—44no—
768D244—44no—
769C4×D61—44no—
770C4×D61—44no—
771C4×D61—44no—
772C4×D61—44no—
773C4×D61—44no—
774C4×D61—44no—
775C4×D61—82no—
776C4×D61—82no—
777C4×D61—82no—
778C4×D61—82no—
779C4×D61—82no—
780C4×D61—82no—
781C4×D61—82no—
782C4×D61—82no—
783Dic122—44no—
784#34406—611nomaximal, Sylow
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61#51814yes—
792C22×C61C24×C411yescharacteristic
793C22×C61C2×H(5,𝔽2)11yescharacteristic
794C22×C61C2×H(5,𝔽2)11yescharacteristic
795C22×C61C2×H(5,𝔽2)11yescharacteristic
796C22×C61C2×H(5,𝔽2)11yescharacteristic
797C22×C61#58511yescharacteristic
798C22×C61#58511yescharacteristic
799C2×D61—22no—
800C2×D61—22no—
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—22no—
817C2×D61—416no—
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—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—88no—
843C4×C61—22no—
844C4×C61—22no—
845C4×C61—22no—
846C4×C61—22no—
847C4×C61—22no—
848C4×C61—22no—
849C4×C61—22no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857Dic61—22no—
858Dic61—22no—
859Dic61—22no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867C2×#535—611no—
868#2380—611no—
869#2379—611no—
870#2377—611no—
871#2377—611no—
872#2372—611no—
873#2366—611no—
874#2364—611no—
875#2364—611no—
876#2358—611no—
877#2358—611no—
878#2358—611no—
879#2358—611no—
880#2343—611no—
881#2343D6111yescharacteristic, complemented
882#2339—611no—
883#2339—611no—
884#2337—611no—
885#2337—611no—
886#2333—611no—
887#2333—611no—
888#2328—611no—
889#2328—611no—
890#2325—611no—
891#2325—611no—
892#2321—611no—
893#2321—611no—
894#2308—611no—
895C4×#120—611no—
896C4×#120—611no—
897C2×#386—611no—
898C2×C61—24no—
899C2×C61C2×#51811yescharacteristic
900C2×C61C4×H(5,𝔽2)11yescharacteristic
901C2×C61C4×H(5,𝔽2)11yescharacteristic
902C2×C61#353211yescharacteristic
903C2×C61#353311yescharacteristic
904C2×C61#354211yescharacteristic
905C2×C61#354211yescharacteristic
906D61—42no—
907D61—42no—
908D61—42no—
909D61—42no—
910D61—42no—
911D61—42no—
912C22×#41—611no—
913C23×D4—611no—
914C24×C4—611no—
915#535—6116no—
916C2×#127—611no—
917C2×#127—611no—
918C2×#124—611no—
919C2×#124—611no—
920C2×#121—611no—
921C2×#121—611no—
922C2×#121—611no—
923C2×#121—611no—
924C2×#120—611no—
925C2×#120—611no—
926C2×#120—611no—
927C2×#120—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×C4×D4—611no—
935C2×C4×D4—611no—
936C2×C4×D4—611no—
937C2×C4×D4—611no—
938C2×C4×D4—611no—
939C2×C4×D4—611no—
940C2×#117C2×D6111yescharacteristic
941C22×C22⋊C4—611no—
942C22×C22⋊C4—611no—
943C22×C22⋊C4—611no—
944C22×C22⋊C4—611no—
945C22×C22⋊C4—611no—
946#391—611no—
947#391—611no—
948#391—611no—
949#391—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#388—611no—
959#388—611no—
960#388—611no—
961#388—611no—
962#388—611no—
963#388—611no—
964#388—611no—
965#388—611no—
966#388—611no—
967#388—611no—
968#388—611no—
969#388—611no—
970#388—611no—
971#388—611no—
972#388—611no—
973#388—611no—
974#387—611no—
975#387—611no—
976#387—611no—
977#387—611no—
978#387C2×D6111yescharacteristic, complemented
979#387C2×D6111yescharacteristic, complemented
980#387C2×D6111yescharacteristic, complemented
981#387C2×D6111yescharacteristic, complemented
982#386—611no—
983#386—611no—
984#386—611no—
985#386—611no—
986#386—611no—
987#386—611no—
988#386—611no—
989#386—611no—
990#386—611no—
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#386—611no—
1022#385—611no—
1023#385—611no—
1024#385—611no—
1025#385—611no—
1026#385—611no—
1027#385—611no—
1028#385—611no—
1029#385—611no—
1030#385—611no—
1031#385—611no—
1032#385C2×D6111yescharacteristic
1033#385C2×D6111yescharacteristic
1034#383—611no—
1035#383C2×D6111yescharacteristic, complemented
1036#382—611no—
1037#382C2×D6111yescharacteristic, complemented
1038#381—611no—
1039#381—611no—
1040#381—611no—
1041#381C2×D6111yescharacteristic
1042#380—611no—
1043#380—611no—
1044#379—611no—
1045#379—611no—
1046C4×C4⋊C4—611no—
1047C4×C4⋊C4C2×D6111yescharacteristic, complemented
1048C4×C22⋊C4—611no—
1049C4×C22⋊C4—611no—
1050C4×C22⋊C4—611no—
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⋊C4C2×D6111yescharacteristic
1061C4×C22⋊C4C2×D6111yescharacteristic
1062#376—611no—
1063#376C2×D6111yescharacteristic, complemented
1064C2×#95—611no—
1065C2×#95—611no—
1066C2×#95—611no—
1067C2×#95C2×D6111yescharacteristic
1068C61#3440611yescharacteristic, complemented, Sylow
1069C25—611no—
1070C25—611no—
1071C2×#41—618no—
1072C2×#41—2442no—
1073C2×#41—2442no—
1074C22×Q8—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—618no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—2442no—
1092C22×D4—2442no—
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×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—611no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—2442no—
1110C23×C4—2442no—
1111C23×C4—2442no—
1112C23×C4C22×D6111yescharacteristic
1113C23×C4C22×D6111yescharacteristic
1114C23×C4C22×D6111yescharacteristic
1115#127—618no—
1116#127—618no—
1117#124—618no—
1118#124—618no—
1119#121—618no—
1120#121—618no—
1121#121—618no—
1122#121—618no—
1123#120—618no—
1124#120—618no—
1125#120—618no—
1126#120—618no—
1127C4×D4—2442no—
1128C4×D4—2442no—
1129C4×D4—2442no—
1130C4×D4—2442no—
1131C4×D4—2442no—
1132C4×D4—2442no—
1133C4×D4—2442no—
1134C4×D4—2442no—
1135C4×D4—2442no—
1136C4×D4—2442no—
1137C4×D4—2442no—
1138C4×D4—2442no—
1139#117C4×D6118yescomplemented
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—611no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4C22×D6111yescharacteristic
1149C2×C4⋊C4C22×D6111yescharacteristic
1150C2×C4⋊C4C22×D6111yescharacteristic
1151C2×C4⋊C4C22×D6111yescharacteristic
1152C2×C4⋊C4C22×D6111yescharacteristic
1153C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—2442no—
1201C2×C22⋊C4—2442no—
1202C2×C22⋊C4—2442no—
1203C2×C22⋊C4—2442no—
1204C2×C22⋊C4—2442no—
1205C2×C22⋊C4C22×D6111yescharacteristic
1206C2×C22⋊C4C22×D6111yescharacteristic
1207C2×C22⋊C4C22×D6111yescharacteristic
1208C2×C22⋊C4C22×D6111yescharacteristic
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×C42C22×D6111yescharacteristic
1218C2×C42C22×D6111yescharacteristic
1219C2×C42C22×D6111yescharacteristic
1220C2×C42C22×D6111yescharacteristic
1221C2×C42C22×D6111yescharacteristic
1222C2×C42C22×D6111yescharacteristic
1223#95—611no—
1224#95—611no—
1225#95—611no—
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#95—611no—
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
1258#95C22×D6111yescharacteristic
1259#95C22×D6111yescharacteristic
1260#95C22×D6111yescharacteristic
1261#95C22×D6111yescharacteristic
1262#95C22×D6111yescharacteristic
1263C24—611no—
1264C24—611no—
1265C24—611no—
1266C24—611no—
1267C24—611no—
1268C24—611no—
1269C24—614no—
1270C24—614no—
1271C24—1222no—
1272C24—1222no—
1273C24—1222no—
1274C24—1222no—
1275C24—2441no—
1276C24—2441no—
1277C24—2441no—
1278C24—2441no—
1279C24—2441no—
1280C24—2441no—
1281C24—2441no—
1282C24—2441no—
1283C24C23×D6111yescharacteristic
1284#41—24416no—
1285C2×Q8—614no—
1286C2×Q8—2441no—
1287C2×Q8—2441no—
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—614no—
1300C2×D4—614no—
1301C2×D4—614no—
1302C2×D4—614no—
1303C2×D4—1222no—
1304C2×D4—1222no—
1305C2×D4—1222no—
1306C2×D4—1222no—
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—24416no—
1316C2×D4—2441no—
1317C2×D4—2441no—
1318C2×D4—2441no—
1319C2×D4—2441no—
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×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—611no—
1343C22×C4—611no—
1344C22×C4—611no—
1345C22×C4—614no—
1346C22×C4—614no—
1347C22×C4—611no—
1348C22×C4—611no—
1349C22×C4—611no—
1350C22×C4—611no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—1222no—
1355C22×C4—1222no—
1356C22×C4—1222no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—1222no—
1361C22×C4—1222no—
1362C22×C4—1222no—
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×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
1388C22×C4—2441no—
1389C22×C4—2441no—
1390C22×C4—2441no—
1391C22×C4—2441no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—24416no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—2441no—
1401C22×C4C2×C4×D6114yes—
1402C22×C4C23×D6111yescharacteristic
1403C22×C4C23×D6111yescharacteristic
1404C22×C4C23×D6111yescharacteristic
1405C22×C4C23×D6111yescharacteristic
1406C22×C4C23×D6111yescharacteristic
1407C22×C4C23×D6111yescharacteristic
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—1222no—
1421C4⋊C4—2441no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4C2×C4×D6114yescomplemented
1429C4⋊C4C2×C4×D6114yescomplemented
1430C22⋊C4—22no—
1431C22⋊C4—22no—
1432C22⋊C4—614no—
1433C22⋊C4—614no—
1434C22⋊C4—614no—
1435C22⋊C4—614no—
1436C22⋊C4—614no—
1437C22⋊C4—614no—
1438C22⋊C4—614no—
1439C22⋊C4—614no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
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⋊C4—2441no—
1467C22⋊C4—2441no—
1468C22⋊C4—2441no—
1469C22⋊C4—2441no—
1470C22⋊C4—2441no—
1471C22⋊C4—2441no—
1472C22⋊C4—2441no—
1473C22⋊C4—2441no—
1474C22⋊C4—2441no—
1475C22⋊C4—2441no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4C2×C4×D6114yes—
1479C22⋊C4C2×C4×D6114yes—
1480C42—22no—
1481C42—41no—
1482C42—41no—
1483C42—41no—
1484C42—1222no—
1485C42—2441no—
1486C42—2441no—
1487C42—2441no—
1488C42—2441no—
1489C42—2441no—
1490C42—2441no—
1491C42—2441no—
1492C42C2×C4×D6114yescomplemented
1493C42C2×C4×D6114yescomplemented
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—612no—
1499C23—612no—
1500C23—612no—
1501C23—612no—
1502C23—612no—
1503C23—612no—
1504C23—1228no—
1505C23—1228no—
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—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—4882no—
1543C23—4882no—
1544C23—4882no—
1545C23—4882no—
1546C23—2444no—
1547C23—2444no—
1548C23—2444no—
1549C23—2444no—
1550C23—2444no—
1551C23—2444no—
1552C23—2444no—
1553C23—2444no—
1554C23C22×C4×D6112yes—
1555C23#1451982312yes—
1556C23#1451982312yes—
1557C23C24×D6111yescharacteristic
1558Q8—2444no—
1559D4—1228no—
1560D4—1228no—
1561D4—2444no—
1562D4—2444no—
1563D4—2444no—
1564D4—2444no—
1565D4—2444no—
1566D4—2444no—
1567D4—2444no—
1568D4—2444no—
1569D4—2444no—
1570D4—2444no—
1571D4—2444no—
1572D4—2444no—
1573D4—2444no—
1574C2×C4—28no—
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—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—612no—
1613C2×C4—612no—
1614C2×C4—612no—
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—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—4882no—
1643C2×C4—4882no—
1644C2×C4—4882no—
1645C2×C4—4882no—
1646C2×C4—4882no—
1647C2×C4—4882no—
1648C2×C4—4882no—
1649C2×C4—4882no—
1650C2×C4—4882no—
1651C2×C4—2444no—
1652C2×C4—2444no—
1653C2×C4—2444no—
1654C2×C4—2444no—
1655C2×C4—2444no—
1656C2×C4—2444no—
1657C2×C4—2444no—
1658C2×C4C22×C4×D6112yes—
1659C2×C4C22×C4×D6112yes—
1660C2×C4C22×C4×D6112yes—
1661C2×C4C22×C4×D6112yes—
1662C2×C4C22×C4×D6112yes—
1663C2×C4C22×C4×D6112yes—
1664C2×C4#1451982312yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
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—1222no—
1685C22—1222no—
1686C22—1222no—
1687C22—1222no—
1688C22—1222no—
1689C22—4888no—
1690C22—24416no—
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—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22#1684023614yes—
1716C22C23×C4×D6111yescharacteristic
1717C22H(5,𝔽2)×D6111yescharacteristic
1718C22C2×#1451982311yescharacteristic
1719C22C2×#1451982311yescharacteristic
1720C22C2×#1451982311yescharacteristic
1721C22#1684059811yescharacteristic
1722C22#1684059911yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—1222no—
1738C4—1222no—
1739C4—1222no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C2—24no—
1748C2—2442no—
1749C2—2442no—
1750C2—2442no—
1751C2—2442no—
1752C2—2442no—
1753C2—2442no—
1754C2C2×#1684023611yescharacteristic
1755C2#2145902511yescharacteristic
1756C2C4×#1451982311yescharacteristic
1757C2#2145997511yescharacteristic
1758C2#2145998511yescharacteristic
1759C2#2146012811yescharacteristic
1760C2#2146012911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2343C2
socle, cosocleC23×C61C25
prime radicalC2×#16840331C2
hypercenter#2343D61
hypocenterC61#34406
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2343

Complements

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

NH ≅ G/Ntype
2. #21448995C2semidirect
3. #21448990C2semidirect
4. #21448974C2semidirect
5. #21448974C2semidirect
6. #21448929C2semidirect
7. #21448883C2semidirect
8. #21448865C2semidirect
9. #21448865C2semidirect
10. #21448801C2semidirect
11. #21448801C2semidirect
12. #21448795C2semidirect
13. #21448795C2semidirect
14. #21448679C2semidirect
15. #21448646C2semidirect
16. #21448643C2semidirect
17. #21448632C2semidirect
18. #21448629C2semidirect
19. #21448583C2semidirect
20. #21448583C2semidirect
21. #21448544C2semidirect
22. #21448542C2semidirect
23. #21448518C2semidirect
24. #21448518C2semidirect
25. #21448479C2semidirect
26. #21448476C2semidirect
27. #21448396C2semidirect
28. C4×#14519747C2semidirect
29. #21448320C2semidirect
30. C2×#16839640C2semidirect
31. C61×#2343C2semidirect
35. #16840331C4semidirect
48. C2×C4×D244C22semidirect
49. C2×C4×D244C22semidirect
50. C2×C4×D244C22semidirect
51. C2×C4×D244C22semidirect
52. C2×#14519739C22semidirect
53. C2×#14519739C22semidirect
54. C2×#14519739C22semidirect
55. C2×#14519739C22semidirect
65. #16839666C22semidirect
66. #16839666C22semidirect
67. #16839666C22semidirect
68. #16839666C22semidirect
69. #16839664C22semidirect
70. #16839664C22semidirect
71. #16839664C22semidirect
72. #16839664C22semidirect
73. #16839663C22semidirect
74. #16839663C22semidirect
75. #16839663C22semidirect
76. #16839663C22semidirect
77. #16839654C22semidirect
78. #16839654C22semidirect
79. #16839654C22semidirect
80. #16839654C22semidirect
81. #16839653C22semidirect
82. #16839653C22semidirect
83. #16839653C22semidirect
84. #16839653C22semidirect
85. #16839652C22semidirect
86. #16839652C22semidirect
87. #16839652C22semidirect
88. #16839652C22semidirect
89. #16839651C22semidirect
90. #16839651C22semidirect
91. #16839651C22semidirect
92. #16839651C22semidirect
93. #16839648C22semidirect
94. #16839648C22semidirect
95. #16839648C22semidirect
96. #16839648C22semidirect
115. #16839640C22semidirect
116. #16839640C22semidirect
117. #16839640C22semidirect
118. #16839640C22semidirect
119. #16839640C22semidirect
120. #16839640C22semidirect
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. #16839640C22semidirect
134. #16839640C22semidirect
139. #16839636C22semidirect
140. #16839636C22semidirect
141. #16839636C22semidirect
142. #16839636C22semidirect
143. #16839633C22semidirect
144. #16839633C22semidirect
145. #16839633C22semidirect
146. #16839633C22semidirect
147. #16839630C22semidirect
148. #16839628C22semidirect
150. #16839624C22semidirect
151. #16839624C22semidirect
152. #16839621C22semidirect
153. #16839621C22semidirect
156. C4×C4⋊Dic61C22semidirect
159. C4×#11758198C22semidirect
160. C4×#11758198C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
163. #16839609C22semidirect
164. #16839609C22semidirect
165. #16839609C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839608C22semidirect
171. #95×D61C22semidirect
172. #95×D61C22semidirect
174. C61×#387C22semidirect
175. C61×#387C22semidirect
176. C61×#387C22semidirect
177. C61×#387C22semidirect
180. C61×#383C22semidirect
181. C61×#382C22semidirect
183. C4×C4⋊C4×C61C22semidirect
186. C61×#376C22semidirect
192. C2×#11758222C2×C4semidirect
196. C22×D244C2×C4semidirect
231. #14519774C2×C4semidirect
232. #14519774C2×C4semidirect
233. #14519765C2×C4semidirect
234. #14519765C2×C4semidirect
235. #14519752C2×C4semidirect
236. #14519752C2×C4semidirect
237. #14519752C2×C4semidirect
238. #14519752C2×C4semidirect
239. #14519747C2×C4semidirect
240. #14519747C2×C4semidirect
241. #14519747C2×C4semidirect
242. #14519747C2×C4semidirect
349. #117×C61C2×C4semidirect
484. C2×D244C22×C4semidirect
485. C2×D244C22×C4semidirect
486. C2×D244C22×C4semidirect
487. C2×D244C22×C4semidirect
488. C2×D244C22×C4semidirect
530. C2×C4×D61C22×C4semidirect
531. C2×C4×D61C22×C4semidirect
534. C2×Dic122C22×C4semidirect
539. C4⋊C4×C61C22×C4semidirect
540. C4⋊C4×C61C22×C4semidirect
549. C42×C61C22×C4semidirect
550. C42×C61C22×C4semidirect
593. #11758198C22×C4semidirect
594. #11758198C22×C4semidirect
595. #11758198C22×C4semidirect
596. #11758198C22×C4semidirect
881. #2343D61semidirect
978. #387C2×D61semidirect
979. #387C2×D61semidirect
980. #387C2×D61semidirect
981. #387C2×D61semidirect
1035. #383C2×D61semidirect
1037. #382C2×D61semidirect
1047. C4×C4⋊C4C2×D61semidirect
1063. #376C2×D61semidirect
1068. C61#34406semidirect
1139. #117C4×D61semidirect
1428. C4⋊C4C2×C4×D61semidirect
1429. C4⋊C4C2×C4×D61semidirect
1492. C42C2×C4×D61semidirect
1493. C42C2×C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403312
#214489952
#214489902
#214489742
#214489292
#214488832
#214488652
#214488012
#214487952
#214486792
#214486462
#214486432
#214486322
#214486292
#214485832
#214485442
#214485422
#214485182
#214484792
#214484762
#214483962
C4×#145197472
#214483202
C2×#168396402
C61×#23432
#3440661