Finite Group Databasebeta

← #29848685

Subgroups — #29848685

Order 15616.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840270C211yesmaximal, characteristic, complemented
2C2×C4×#11758226C211yesmaximal, characteristic, complemented
3#21450018C211yesmaximal, characteristic, complemented
4#21450011C211yesmaximal, characteristic, complemented
5#21449926C211yesmaximal, characteristic, complemented
6#21449919C211yesmaximal, characteristic, complemented
7#21449834C211yesmaximal, characteristic, complemented
8#21449827C211yesmaximal, characteristic, complemented
9#21449726C211yesmaximal, characteristic, complemented
10#21449642C211yesmaximal, characteristic, complemented
11#21449576C211yesmaximal, characteristic, complemented
12#21449490C211yesmaximal, characteristic, complemented
13#21449432C211yesmaximal, characteristic, complemented
14#21449362C211yesmaximal, characteristic, complemented
15#21449288C211yesmaximal, characteristic, complemented
16#21449197C211yesmaximal, characteristic, complemented
17#21449139C211yesmaximal, characteristic, complemented
18#21449101C211yesmaximal, characteristic, complemented
19#21449086C211yesmaximal, characteristic, complemented
20#21449060C211yesmaximal, characteristic, complemented
21#21449033C211yesmaximal, characteristic, complemented
22#21448346C211yesmaximal, characteristic, complemented
23#21448340C211yesmaximal, characteristic, complemented
24#21448331C211yesmaximal, characteristic, complemented
25#21448331C211yesmaximal, characteristic, complemented
26#21448320C211yesmaximal, characteristic, complemented
27#21448306C211yesmaximal, characteristic, complemented
28#21448261C211yesmaximal, characteristic, complemented
29#21448257C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2458C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C22×#11758224C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840270—28no—
36C2×#14519762C2211yescharacteristic
37C2×#14519760C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519755C2211yescharacteristic
40C2×#14519755C2211yescharacteristic
41C2×#14519750C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519750C2211yescharacteristic
44C2×#14519750C2211yescharacteristic
45C2×#14519747C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48C4×#11758226—28no—
49C2×Q8×Dic61C2211yescharacteristic, complemented
50C2×C4×D244C2211yescharacteristic
51C2×C4×D244C2211yescharacteristic
52C2×C4×D244C2211yescharacteristic, complemented
53C2×#14519739C2211yescharacteristic
54C2×#14519739C2211yescharacteristic
55C2×#14519739C2211yescharacteristic
56C2×#14519739C2211yescharacteristic
57C2×#14519739C2211yescharacteristic, complemented
58C2×#14519737C2211yescharacteristic
59C2×#14519737C2211yescharacteristic
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic, complemented
62C2×#14519735C2211yescharacteristic
63C2×#14519735C2211yescharacteristic, complemented
64C2×#14519735C2211yescharacteristic, complemented
65C2×#14519735C2211yescharacteristic, complemented
66C2×#14519733C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C42×D61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic, complemented
72C2×C42×D61C2211yescharacteristic, complemented
73#16839704C2211yescharacteristic, complemented
74#16839704C2211yescharacteristic, complemented
75#16839702C2211yescharacteristic, complemented
76#16839698C2211yescharacteristic
77#16839696C2211yescharacteristic, complemented
78#16839696C2211yescharacteristic, complemented
79#16839689C2211yescharacteristic
80#16839688C2211yescharacteristic, complemented
81#16839687C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic
83#16839685C2211yescharacteristic
84#16839684C2211yescharacteristic
85#16839684C2211yescharacteristic, complemented
86#16839682C2211yescharacteristic, complemented
87#16839681C2211yescharacteristic, complemented
88#16839680C2211yescharacteristic
89#16839680C2211yescharacteristic, complemented
90#16839679C2211yescharacteristic
91#16839678C2211yescharacteristic
92#16839678C2211yescharacteristic
93#16839677C2211yescharacteristic
94#16839677C2211yescharacteristic, complemented
95#16839675C2211yescharacteristic, complemented
96#16839673C2211yescharacteristic
97#16839672C2211yescharacteristic
98#16839671C2211yescharacteristic
99#16839671C2211yescharacteristic, complemented
100#16839670C2211yescharacteristic
101#16839668C2211yescharacteristic, complemented
102#16839667C2211yescharacteristic, complemented
103#16839665C2211yescharacteristic
104#16839662C2211yescharacteristic
105#16839662C2211yescharacteristic, complemented
106#16839657C2211yescharacteristic, complemented
107#16839657C2211yescharacteristic, complemented
108#16839655C2211yescharacteristic
109#16839654C2211yescharacteristic
110#16839653C2211yescharacteristic
111#16839653C2211yescharacteristic
112#16839653C2211yescharacteristic, complemented
113#16839653C2211yescharacteristic, complemented
114#16839651C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic, complemented
116#16839648C2211yescharacteristic, complemented
117#16839647C2211yescharacteristic, complemented
118#16839646C2211yescharacteristic, complemented
119#16839646C2211yescharacteristic, complemented
120#16839644C2211yescharacteristic, complemented
121#16839643C2211yescharacteristic, complemented
122#16839641C2211yescharacteristic
123#16839640C2211yescharacteristic
124#16839640C2211yescharacteristic
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839638C2211yescharacteristic
131#16839638C2211yescharacteristic
132#16839638C2211yescharacteristic
133#16839638C2211yescharacteristic
134#16839638C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic, complemented
139#16839636C2211yescharacteristic
140#16839636C2211yescharacteristic, complemented
141#16839636C2211yescharacteristic, complemented
142#16839633C2211yescharacteristic
143#16839633C2211yescharacteristic
144#16839633C2211yescharacteristic
145#16839633C2211yescharacteristic
146#16839633C2211yescharacteristic, complemented
147#16839624C2211yescharacteristic
148#16839624C2211yescharacteristic, complemented
149#16839621C2211yescharacteristic
150#16839621C2211yescharacteristic, complemented
151#16839617C2211yescharacteristic
152C4⋊C4×Dic61C2211yescharacteristic, complemented
153#16839613C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155#16839613C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic
163C4×#11758198C2211yescharacteristic
164C4×C22⋊Dic61C2211yescharacteristic
165#16839609C2211yescharacteristic
166#16839609C2211yescharacteristic
167#16839609C2211yescharacteristic
168#16839609C2211yescharacteristic
169#16839609C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic
173#95×D61C2211yescharacteristic
174C2×#123×C61C2211yescharacteristic
175C2×C4×Q8×C61C2211yescharacteristic, complemented
176C61×#398C2211yescharacteristic, complemented
177C61×#394C2211yescharacteristic
178C61×#393C2211yescharacteristic
179C61×#393C2211yescharacteristic, complemented
180C61×#390C2211yescharacteristic
181C61×#388C2211yescharacteristic
182C61×#388C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#388C2211yescharacteristic, complemented
185C61×#387C2211yescharacteristic, complemented
186C61×#387C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic
188C4×C22⋊C4×C61C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758226—24no—
191C2×#11758226—24no—
192C2×#11758226—24no—
193C2×#11758224—24no—
194C2×#11758224—24no—
195C2×#11758224—42no—
196C22×Dic122C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61—24no—
211C22×C4×D61—24no—
212C22×C4×D61—42no—
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
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227#14519762—24no—
228#14519760—24no—
229#14519759—24no—
230#14519755—24no—
231#14519755—24no—
232#14519750—24no—
233#14519750—24no—
234#14519750—24no—
235#14519750—24no—
236#14519747—24no—
237#14519747—24no—
238#14519745—24no—
239Q8×Dic61—24no—
240C4×D244—24no—
241C4×D244—24no—
242C4×D244—24no—
243#14519739—24no—
244#14519739—24no—
245#14519739—24no—
246#14519739—42no—
247#14519739D418yescomplemented
248#14519737—24no—
249#14519737—24no—
250#14519737—24no—
251#14519737—42no—
252#14519735—24no—
253#14519735—24no—
254#14519735—24no—
255#14519735—42no—
256#14519733—24no—
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
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
309C22⋊C4×D61—24no—
310C22⋊C4×D61—24no—
311C2×C4×Dic61C2311yescharacteristic
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
324C42×D61—24no—
325C42×D61—24no—
326C42×D61—24no—
327C42×D61—42no—
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
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×Q8×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357#123×C61—24no—
358C4×Q8×C61—24no—
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C42×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379C2×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61C2411yescharacteristic
401C23×D61C2411yescharacteristic
402C23×D61C2411yescharacteristic
403C23×D61C2411yescharacteristic
404C2×Q8×C61—22no—
405C2×Q8×C61—22no—
406C2×Q8×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—41no—
410C22×C4×C61—22no—
411C22×C4×C61—22no—
412C22×C4×C61—41no—
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⋊D61—22no—
431C2×C22⋊D61—22no—
432C2×C22⋊D61—22no—
433C2×C22⋊D61—22no—
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C22×Dic61—22no—
445C22×Dic61—22no—
446C22×Dic61—22no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61#4114yescomplemented
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462#11758226—232no—
463#11758224—416no—
464C2×D244—22no—
465C2×D244—22no—
466C2×D244—22no—
467C2×D244—22no—
468C2×D244—22no—
469C2×D244—22no—
470C2×D244—22no—
471C2×D244—22no—
472C2×D244—22no—
473C2×D244—22no—
474C2×D244—22no—
475C2×D244—41no—
476C2×D244—41no—
477C2×D244C2×D414yes—
478C2×D244#4114yescomplemented
479C2×C4×D61—22no—
480C2×C4×D61—22no—
481C2×C4×D61—22no—
482C2×C4×D61—22no—
483C2×C4×D61—22no—
484C2×C4×D61—22no—
485C2×C4×D61—22no—
486C2×C4×D61—22no—
487C2×C4×D61—22no—
488C2×C4×D61—22no—
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—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—416no—
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×D61C2×D414yes—
520C2×C4×D61C2×D414yes—
521C2×C4×D61#4114yescomplemented
522C2×Dic122—22no—
523C2×Dic122—22no—
524C2×Dic122—41no—
525C4⋊C4×C61—22no—
526C4⋊C4×C61—22no—
527C4⋊C4×C61—22no—
528C4⋊C4×C61—22no—
529C4⋊C4×C61—41no—
530C4⋊C4×C61—41no—
531C4⋊C4×C61C2×D414yes—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—41no—
543C42×C61—22no—
544C42×C61—22no—
545C42×C61—22no—
546C42×C61—41no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—22no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554#11758198—22no—
555#11758198—22no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198C2×D414yes—
580#11758198C2×D414yes—
581#11758198#4114yescomplemented
582C4⋊Dic61—22no—
583C4⋊Dic61—22no—
584C4⋊Dic61—22no—
585C4⋊Dic61—22no—
586C4⋊Dic61—41no—
587#11758196—22no—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—22no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—22no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
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×C61—21no—
625C23×C61C2×#4112yes—
626C23×C61C2511yescharacteristic
627C22×D61—21no—
628C22×D61—21no—
629C22×D61—21no—
630C22×D61—21no—
631C22×D61—28no—
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—44no—
651C22×D61—44no—
652C22×D61—44no—
653C22×D61—44no—
654C22×D61—44no—
655C22×D61—44no—
656C22×D61C22×D412yes—
657C22×D61C22×D412yes—
658C22×D61C2×#4112yes—
659C22×D61C2×#4112yes—
660C22×D61C2×#4112yes—
661C22×D61C2×#4112yes—
662Q8×C61—28no—
663D4×C61—44no—
664C2×C4×C61—21no—
665C2×C4×C61—21no—
666C2×C4×C61—21no—
667C2×C4×C61—21no—
668C2×C4×C61—21no—
669C2×C4×C61—21no—
670C2×C4×C61—21no—
671C2×C4×C61—21no—
672C2×C4×C61—21no—
673C2×C4×C61—21no—
674C2×C4×C61—21no—
675C2×C4×C61—21no—
676C2×C4×C61—21no—
677C2×C4×C61—21no—
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—44no—
698C2×C4×C61C22×D412yes—
699C2×C4×C61C22×D412yes—
700C2×C4×C61C22×D412yes—
701C2×C4×C61C2×#4112yes—
702C2×C4×C61C2×#4112yes—
703C2×C4×C61C2×#4112yes—
704C22⋊D61—44no—
705C22⋊D61—44no—
706C22⋊D61—44no—
707C22⋊D61—44no—
708C22⋊D61—44no—
709C22⋊D61—44no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—28no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
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—44no—
741C2×Dic61C22×D412yes—
742C2×Dic61C22×D412yes—
743C2×Dic61C2×#4112yes—
744C2×Dic61C2×#4112yes—
745C2×Dic61C2×#4112yes—
746C2×Dic61C2×#4112yes—
747C2×Dic61H(5,𝔽2)12yes—
748D244—28no—
749D244—28no—
750D244—28no—
751D244—44no—
752D244—44no—
753C4×D61—28no—
754C4×D61—28no—
755C4×D61—28no—
756C4×D61—28no—
757C4×D61—28no—
758C4×D61—44no—
759C4×D61—44no—
760C4×D61—44no—
761C4×D61—44no—
762C4×D61—44no—
763C4×D61—44no—
764C4×D61—44no—
765C4×D61—44no—
766C4×D61—44no—
767Dic122—44no—
768#34732—611nomaximal, Sylow
769C22×C61—22no—
770C22×C61—22no—
771C22×C61—22no—
772C22×C61—41no—
773C22×C61—41no—
774C22×C61—41no—
775C22×C61—41no—
776C22×C61—41no—
777C22×C61—41no—
778C22×C61—41no—
779C22×C61—41no—
780C22×C61—41no—
781C22×C61—41no—
782C22×C61—41no—
783C22×C61C23×D411yescharacteristic
784C22×C61C22×#4111yescharacteristic
785C22×C61C22×#4111yescharacteristic
786C22×C61C22×#4111yescharacteristic
787C22×C61C22×#4111yescharacteristic
788C22×C61C2×H(5,𝔽2)11yescharacteristic
789C22×C61#58511yescharacteristic
790C2×D61—22no—
791C2×D61—22no—
792C2×D61—22no—
793C2×D61—22no—
794C2×D61—22no—
795C2×D61—22no—
796C2×D61—22no—
797C2×D61—22no—
798C2×D61—22no—
799C2×D61—22no—
800C2×D61—22no—
801C2×D61—22no—
802C2×D61—22no—
803C2×D61—22no—
804C2×D61—22no—
805C2×D61—416no—
806C2×D61—41no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C2×D61#52514yes—
819C4×C61—22no—
820C4×C61—22no—
821C4×C61—22no—
822C4×C61—22no—
823C4×C61—22no—
824C4×C61—22no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832Dic61—22no—
833Dic61—22no—
834Dic61—22no—
835Dic61—22no—
836Dic61—41no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61#54614yes—
844C2×#525—611no—
845C2×C4×#41—611no—
846#2477—611no—
847#2476—611no—
848#2471—611no—
849#2470—611no—
850#2465—611no—
851#2464—611no—
852#2458D6111yescharacteristic, complemented
853#2457—611no—
854#2450—611no—
855#2444—611no—
856#2438—611no—
857#2430—611no—
858#2424—611no—
859#2418—611no—
860#2411—611no—
861#2404—611no—
862#2398—611no—
863#2396—611no—
864#2392—611no—
865#2388—611no—
866C4×#123—611no—
867C4×#123—611no—
868C4×#121—611no—
869C4×#121—611no—
870C4×#120—611no—
871#2297—611no—
872#2290—611no—
873#2290—611no—
874C2×C4×C22⋊C4—611no—
875C2×C61—42no—
876C2×C61—81no—
877C2×C61C2×#52511yescharacteristic
878C2×C61#344411yescharacteristic
879C2×C61#346011yescharacteristic
880C2×C61C2×#54611yescharacteristic
881C2×C61D4×#4111yescharacteristic
882C2×C61#347511yescharacteristic
883C2×C61#348111yescharacteristic
884D61—24no—
885D61—42no—
886D61—42no—
887D61—42no—
888C22×#41—611no—
889C22×#41—611no—
890C24×C4—611no—
891#525—1228no—
892C2×#123—611no—
893C2×#123—611no—
894C2×#123—611no—
895C2×#123C2×D6111yescharacteristic
896C2×C22⋊Q8—611no—
897C2×C22⋊Q8—611no—
898C2×#121—611no—
899C2×#121—611no—
900C2×#121—611no—
901C2×#121—611no—
902C2×#120—611no—
903C2×#120—611no—
904C2×#120—611no—
905C4×#41—1228no—
906C2×C4×Q8—611no—
907C2×C4×Q8C2×D6111yescharacteristic, complemented
908C2×C4×D4—611no—
909C2×C4×D4—611no—
910C2×C4×D4—611no—
911C2×C4×D4—611no—
912C2×C4×D4—611no—
913C2×C4×D4—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×#117—611no—
921C2×#117—611no—
922C2×#117—611no—
923C2×#117—611no—
924C2×#117—611no—
925C22×C22⋊C4—611no—
926C22×C22⋊C4—611no—
927C22×C42—611no—
928C22×C42—611no—
929C22×C42—611no—
930C22×C42—611no—
931#400—611no—
932#400—611no—
933#400—611no—
934#399—611no—
935#398—611no—
936#398—611no—
937#398C2×D6111yescharacteristic, complemented
938#397—611no—
939#397—611no—
940#397—611no—
941#396—611no—
942#396—611no—
943#396—611no—
944#396—611no—
945#395—611no—
946#395—611no—
947#394—611no—
948#394—611no—
949#394—611no—
950#394—611no—
951#394—611no—
952#394—611no—
953#394—611no—
954#394C2×D6111yescharacteristic
955#393—611no—
956#393—611no—
957#393C2×D6111yescharacteristic
958#393C2×D6111yescharacteristic, complemented
959#392—611no—
960#392—611no—
961#392—611no—
962#392—611no—
963#391—611no—
964#391—611no—
965#390—611no—
966#390—611no—
967#390—611no—
968#390C2×D6111yescharacteristic
969#389—611no—
970#389—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#388C2×D6111yescharacteristic
980#388C2×D6111yescharacteristic, complemented
981#388C2×D6111yescharacteristic, complemented
982#388C2×D6111yescharacteristic, complemented
983#387—611no—
984#387—611no—
985#387—611no—
986#387—611no—
987#387—611no—
988#387—611no—
989#387C2×D6111yescharacteristic, complemented
990#387C2×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#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385—611no—
1013#385—611no—
1014#385—611no—
1015#385—611no—
1016#385C2×D6111yescharacteristic
1017#381—611no—
1018#381—611no—
1019#380—611no—
1020#380—611no—
1021#379—611no—
1022C4×C4⋊C4—611no—
1023C4×C4⋊C4—611no—
1024C4×C4⋊C4—611no—
1025C4×C4⋊C4—611no—
1026C4×C22⋊C4—611no—
1027C4×C22⋊C4—611no—
1028C4×C22⋊C4—611no—
1029C4×C22⋊C4—611no—
1030C4×C22⋊C4—611no—
1031C4×C22⋊C4—611no—
1032C4×C22⋊C4—611no—
1033C4×C22⋊C4—611no—
1034C4×C22⋊C4—611no—
1035C4×C22⋊C4—611no—
1036C4×C22⋊C4—611no—
1037C4×C22⋊C4—611no—
1038C4×C22⋊C4—611no—
1039C4×C22⋊C4—611no—
1040C4×C22⋊C4—611no—
1041C4×C22⋊C4C2×D6111yescharacteristic
1042#376—611no—
1043C2×#95—611no—
1044C2×#95—611no—
1045C61#3473211yescharacteristic, complemented, Sylow
1046C25—611no—
1047C2×#41—1224no—
1048C2×#41—1224no—
1049C2×#41—1224no—
1050C2×#41—1224no—
1051C2×#41—1224no—
1052C2×#41—2442no—
1053C22×Q8—611no—
1054C22×Q8C22×D6111yescharacteristic
1055C22×D4—611no—
1056C22×D4—611no—
1057C22×D4—611no—
1058C22×D4—611no—
1059C22×D4—611no—
1060C22×D4—611no—
1061C22×D4—611no—
1062C22×D4—611no—
1063C22×D4—611no—
1064C22×D4—611no—
1065C22×D4—611no—
1066C22×D4C22×D6111yescharacteristic
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—611no—
1082C23×C4—611no—
1083C23×C4—1224no—
1084C23×C4—1224no—
1085C23×C4—2442no—
1086C23×C4C22×D6111yescharacteristic
1087#123—24no—
1088#123—1224no—
1089#123—1224no—
1090#123—1224no—
1091C22⋊Q8—1224no—
1092C22⋊Q8—1224no—
1093#121—1224no—
1094#121—1224no—
1095#121—1224no—
1096#121—1224no—
1097#120—1224no—
1098#120—1224no—
1099#120—1224no—
1100C4×Q8—24no—
1101C4×Q8—1224no—
1102C4×D4—618no—
1103C4×D4—1224no—
1104C4×D4—1224no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—2442no—
1113C4×D4—2442no—
1114#117—1224no—
1115#117—1224no—
1116#117—1224no—
1117#117—1224no—
1118#117—2442no—
1119C2×C4⋊C4—611no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1137C2×C4⋊C4C22×D6111yescharacteristic
1138C2×C4⋊C4C22×D6111yescharacteristic
1139C2×C4⋊C4C22×D6111yescharacteristic
1140C2×C4⋊C4C22×D6111yescharacteristic
1141C2×C4⋊C4C22×D6111yescharacteristic
1142C2×C4⋊C4C22×D6111yescharacteristic
1143C2×C22⋊C4—611no—
1144C2×C22⋊C4—611no—
1145C2×C22⋊C4—611no—
1146C2×C22⋊C4—611no—
1147C2×C22⋊C4—611no—
1148C2×C22⋊C4—611no—
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—1224no—
1179C2×C22⋊C4—1224no—
1180C2×C22⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4C22×D6111yescharacteristic
1182C2×C22⋊C4C22×D6111yescharacteristic
1183C2×C22⋊C4C22×D6111yescharacteristic
1184C2×C22⋊C4C22×D6111yescharacteristic
1185C2×C22⋊C4C22×D6111yescharacteristic
1186C2×C22⋊C4C22×D6111yescharacteristic
1187C2×C22⋊C4C22×D6111yescharacteristic
1188C2×C22⋊C4C22×D6111yescharacteristic
1189C2×C22⋊C4C22×D6111yescharacteristic
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C42—611no—
1192C2×C42—611no—
1193C2×C42—611no—
1194C2×C42—611no—
1195C2×C42—611no—
1196C2×C42—611no—
1197C2×C42—611no—
1198C2×C42—611no—
1199C2×C42—611no—
1200C2×C42—611no—
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—1224no—
1205C2×C42—1224no—
1206C2×C42—1224no—
1207C2×C42—2442no—
1208C2×C42C22×D6111yescharacteristic
1209C2×C42C22×D6111yescharacteristic
1210C2×C42C22×D6111yescharacteristic
1211C2×C42C22×D6111yescharacteristic
1212#95—611no—
1213#95—611no—
1214#95—611no—
1215#95—611no—
1216#95—611no—
1217#95—611no—
1218#95—611no—
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
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#95C22×D6111yescharacteristic
1239#95C22×D6111yescharacteristic
1240#95C22×D6111yescharacteristic
1241#95C22×D6111yescharacteristic
1242#95C22×D6111yescharacteristic
1243#95C22×D6111yescharacteristic
1244#95C22×D6111yescharacteristic
1245#95C22×D6111yescharacteristic
1246#95C22×D6111yescharacteristic
1247#95C22×D6111yescharacteristic
1248C24—611no—
1249C24—611no—
1250C24—611no—
1251C24—611no—
1252C24—1222no—
1253C24—1222no—
1254C24—1222no—
1255C24—1222no—
1256C24—1222no—
1257C24—2441no—
1258C24—2441no—
1259C24C23×D6111yescharacteristic
1260C24C23×D6111yescharacteristic
1261#41—12232no—
1262#41—24416no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—1222no—
1267C2×Q8—1222no—
1268C2×Q8—2441no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—614no—
1273C2×D4—614no—
1274C2×D4—1222no—
1275C2×D4—1222no—
1276C2×D4—1222no—
1277C2×D4—1222no—
1278C2×D4—1222no—
1279C2×D4—1222no—
1280C2×D4—1222no—
1281C2×D4—1222no—
1282C2×D4—1222no—
1283C2×D4—1222no—
1284C2×D4—1222no—
1285C2×D4—1222no—
1286C2×D4—1222no—
1287C2×D4—1222no—
1288C2×D4—1222no—
1289C2×D4—1222no—
1290C2×D4—1222no—
1291C2×D4—1222no—
1292C2×D4—1222no—
1293C2×D4—1222no—
1294C2×D4—1222no—
1295C2×D4—1222no—
1296C2×D4—1222no—
1297C2×D4—1222no—
1298C2×D4—2441no—
1299C2×D4—2441no—
1300C2×D4—2441no—
1301C2×D4—2441no—
1302C2×D4—2441no—
1303C2×D4—2441no—
1304C2×D4—2441no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—41no—
1308C22×C4—611no—
1309C22×C4—614no—
1310C22×C4—611no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—614no—
1315C22×C4—614no—
1316C22×C4—614no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—1222no—
1325C22×C4—1222no—
1326C22×C4—1222no—
1327C22×C4—1222no—
1328C22×C4—1222no—
1329C22×C4—1222no—
1330C22×C4—1222no—
1331C22×C4—1222no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
1340C22×C4—1222no—
1341C22×C4—1222no—
1342C22×C4—1222no—
1343C22×C4—1222no—
1344C22×C4—1222no—
1345C22×C4—1222no—
1346C22×C4—1222no—
1347C22×C4—1222no—
1348C22×C4—1222no—
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—24416no—
1369C22×C4C23×D6111yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373C22×C4C23×D6111yescharacteristic
1374C22×C4C23×D6111yescharacteristic
1375C22×C4C23×D6111yescharacteristic
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—1222no—
1389C4⋊C4—1222no—
1390C4⋊C4—1222no—
1391C4⋊C4—1222no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—1222no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—1222no—
1400C4⋊C4—1222no—
1401C4⋊C4—2441no—
1402C4⋊C4—2441no—
1403C4⋊C4—2441no—
1404C4⋊C4—2441no—
1405C4⋊C4D4×D6114yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—41no—
1417C22⋊C4—614no—
1418C22⋊C4—614no—
1419C22⋊C4—614no—
1420C22⋊C4—1222no—
1421C22⋊C4—1222no—
1422C22⋊C4—1222no—
1423C22⋊C4—1222no—
1424C22⋊C4—1222no—
1425C22⋊C4—1222no—
1426C22⋊C4—1222no—
1427C22⋊C4—1222no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
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—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—41no—
1456C42—614no—
1457C42—1222no—
1458C42—1222no—
1459C42—1222no—
1460C42—1222no—
1461C42—1222no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—2441no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—612no—
1483C23—612no—
1484C23—612no—
1485C23—612no—
1486C23—612no—
1487C23—612no—
1488C23—1228no—
1489C23—1221no—
1490C23—1221no—
1491C23—1221no—
1492C23—1221no—
1493C23—1221no—
1494C23—1221no—
1495C23—1221no—
1496C23—1221no—
1497C23—1221no—
1498C23—1221no—
1499C23—1221no—
1500C23—1221no—
1501C23—1221no—
1502C23—1221no—
1503C23—1221no—
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23—1221no—
1509C23—1221no—
1510C23—1221no—
1511C23—2444no—
1512C23—2444no—
1513C23—2444no—
1514C23—2444no—
1515C23—2444no—
1516C23—2444no—
1517C23#41×D6112yes—
1518C23C24×D6111yescharacteristic
1519Q8—28no—
1520Q8—2444no—
1521D4—44no—
1522D4—1228no—
1523D4—1228no—
1524D4—1228no—
1525D4—2444no—
1526D4—2444no—
1527D4—2444no—
1528D4—2444no—
1529D4—2444no—
1530D4—2444no—
1531D4—2444no—
1532D4—2444no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—612no—
1570C2×C4—612no—
1571C2×C4—612no—
1572C2×C4—612no—
1573C2×C4—612no—
1574C2×C4—1228no—
1575C2×C4—1228no—
1576C2×C4—1228no—
1577C2×C4—1228no—
1578C2×C4—1228no—
1579C2×C4—1228no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—2444no—
1610C2×C4—2444no—
1611C2×C4—2444no—
1612C2×C4—2444no—
1613C2×C4—2444no—
1614C2×C4—2444no—
1615C2×C4—2444no—
1616C2×C4—2444no—
1617C2×C4—2444no—
1618C2×C4—2444no—
1619C2×C4C2×D4×D6112yes—
1620C2×C4C2×D4×D6112yes—
1621C2×C4C2×D4×D6112yes—
1622C2×C4#41×D6112yes—
1623C2×C4#41×D6112yes—
1624C2×C4#41×D6112yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—614no—
1640C22—1222no—
1641C22—1222no—
1642C22—1222no—
1643C22—1222no—
1644C22—1222no—
1645C22—1222no—
1646C22—1222no—
1647C22—1222no—
1648C22—1222no—
1649C22—1222no—
1650C22—1222no—
1651C22—1222no—
1652C22—1222no—
1653C22—1222no—
1654C22—1222no—
1655C22—24416no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22—2441no—
1660C22—2441no—
1661C22—2441no—
1662C22—2441no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22C22×D4×D6111yescharacteristic
1669C22C2×#41×D6111yescharacteristic
1670C22C2×#41×D6111yescharacteristic
1671C22C2×#41×D6111yescharacteristic
1672C22C2×#41×D6111yescharacteristic
1673C22H(5,𝔽2)×D6111yescharacteristic
1674C22#1684059911yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—614no—
1689C4—1222no—
1690C4—1222no—
1691C4—1222no—
1692C4—1222no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4—2441no—
1699C4—2441no—
1700C2—42no—
1701C2—81no—
1702C2—1224no—
1703C2—2442no—
1704C2—2442no—
1705C2—2442no—
1706C2#525×D6111yescharacteristic
1707C2#2145911311yescharacteristic
1708C2#2145923911yescharacteristic
1709C2#546×D6111yescharacteristic
1710C2#2145930811yescharacteristic
1711C2#2145938411yescharacteristic
1712C2#2145942811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2458C2
hypercenter#2458D61
hypocenterC61#34732
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2458

Complements

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

NH ≅ G/Ntype
1. C2×#16840270C2semidirect
2. C2×C4×#11758226C2semidirect
3. #21450018C2semidirect
4. #21450011C2semidirect
5. #21449926C2semidirect
6. #21449919C2semidirect
7. #21449834C2semidirect
8. #21449827C2semidirect
9. #21449726C2semidirect
10. #21449642C2semidirect
11. #21449576C2semidirect
12. #21449490C2semidirect
13. #21449432C2semidirect
14. #21449362C2semidirect
15. #21449288C2semidirect
16. #21449197C2semidirect
17. #21449139C2semidirect
18. #21449101C2semidirect
19. #21449086C2semidirect
20. #21449060C2semidirect
21. #21449033C2semidirect
22. #21448346C2semidirect
23. #21448340C2semidirect
24. #21448331C2semidirect
25. #21448331C2semidirect
26. #21448320C2semidirect
27. #21448306C2semidirect
28. #21448261C2semidirect
29. #21448257C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2458C2semidirect
49. C2×Q8×Dic61C22semidirect
52. C2×C4×D244C22semidirect
57. C2×#14519739C22semidirect
61. C2×#14519737C22semidirect
63. C2×#14519735C22semidirect
64. C2×#14519735C22semidirect
65. C2×#14519735C22semidirect
71. C2×C42×D61C22semidirect
72. C2×C42×D61C22semidirect
73. #16839704C22semidirect
74. #16839704C22semidirect
75. #16839702C22semidirect
77. #16839696C22semidirect
78. #16839696C22semidirect
80. #16839688C22semidirect
81. #16839687C22semidirect
85. #16839684C22semidirect
86. #16839682C22semidirect
87. #16839681C22semidirect
89. #16839680C22semidirect
94. #16839677C22semidirect
95. #16839675C22semidirect
99. #16839671C22semidirect
101. #16839668C22semidirect
102. #16839667C22semidirect
105. #16839662C22semidirect
106. #16839657C22semidirect
107. #16839657C22semidirect
112. #16839653C22semidirect
113. #16839653C22semidirect
114. #16839651C22semidirect
115. #16839650C22semidirect
116. #16839648C22semidirect
117. #16839647C22semidirect
118. #16839646C22semidirect
119. #16839646C22semidirect
120. #16839644C22semidirect
121. #16839643C22semidirect
136. #16839638C22semidirect
137. #16839638C22semidirect
138. #16839638C22semidirect
140. #16839636C22semidirect
141. #16839636C22semidirect
146. #16839633C22semidirect
148. #16839624C22semidirect
150. #16839621C22semidirect
152. C4⋊C4×Dic61C22semidirect
153. #16839613C22semidirect
154. #16839613C22semidirect
155. #16839613C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C22⋊C4×Dic61C22semidirect
169. #16839609C22semidirect
170. #16839609C22semidirect
171. #16839607C22semidirect
175. C2×C4×Q8×C61C22semidirect
176. C61×#398C22semidirect
179. C61×#393C22semidirect
182. C61×#388C22semidirect
183. C61×#388C22semidirect
184. C61×#388C22semidirect
185. C61×#387C22semidirect
186. C61×#387C22semidirect
247. #14519739D4semidirect
449. C22×Dic61#41semidirect
478. C2×D244#41semidirect
521. C2×C4×D61#41semidirect
581. #11758198#41semidirect
852. #2458D61semidirect
907. C2×C4×Q8C2×D61semidirect
937. #398C2×D61semidirect
958. #393C2×D61semidirect
980. #388C2×D61semidirect
981. #388C2×D61semidirect
982. #388C2×D61semidirect
989. #387C2×D61semidirect
990. #387C2×D61semidirect
1045. C61#34732semidirect

Maximal subgroups

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

subgroupindex
C2×#168402702
C2×C4×#117582262
#214500182
#214500112
#214499262
#214499192
#214498342
#214498272
#214497262
#214496422
#214495762
#214494902
#214494322
#214493622
#214492882
#214491972
#214491392
#214491012
#214490862
#214490602
#214490332
#214483462
#214483402
#214483312
#214483202
#214483062
#214482612
#214482572
C4×C22⋊C4×D612
C61×#24582
#3473261