Finite Group Databasebeta

← #29848692

Subgroups — #29848692

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×#16840271C211yesmaximal, characteristic, complemented
2C2×C4×#11758226C211yesmaximal, characteristic, complemented
3#21450013C211yesmaximal, characteristic, complemented
4#21450006C211yesmaximal, characteristic, complemented
5#21449925C211yesmaximal, characteristic, complemented
6#21449918C211yesmaximal, characteristic, complemented
7#21449833C211yesmaximal, characteristic, complemented
8#21449826C211yesmaximal, characteristic, complemented
9#21449736C211yesmaximal, characteristic, complemented
10#21449729C211yesmaximal, characteristic, complemented
11#21449646C211yesmaximal, characteristic, complemented
12#21449572C211yesmaximal, characteristic, complemented
13#21449498C211yesmaximal, characteristic, complemented
14#21449432C211yesmaximal, characteristic, complemented
15#21449348C211yesmaximal, characteristic, complemented
16#21449282C211yesmaximal, characteristic, complemented
17#21449197C211yesmaximal, characteristic, complemented
18#21449139C211yesmaximal, characteristic, complemented
19#21449089C211yesmaximal, characteristic, complemented
20#21449063C211yesmaximal, characteristic, complemented
21#21449035C211yesmaximal, characteristic, complemented
22C4×#14519759C211yesmaximal, characteristic, complemented
23C4×#14519759C211yesmaximal, characteristic, complemented
24C4×#14519750C211yesmaximal, characteristic, complemented
25C4×#14519748C211yesmaximal, characteristic, complemented
26C4×#14519747C211yesmaximal, characteristic, complemented
27#21448305C211yesmaximal, characteristic, complemented
28#21448263C211yesmaximal, characteristic, complemented
29#21448263C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2398C211yesmaximal, characteristic, complemented
32C22×#11758226C2211yescharacteristic
33C22×#11758222C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35#16840271—28no—
36C2×#14519762C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519759C2211yescharacteristic
39C2×#14519759C2211yescharacteristic
40C2×#14519755C2211yescharacteristic
41C2×#14519754C2211yescharacteristic
42C2×#14519750C2211yescharacteristic
43C2×#14519750C2211yescharacteristic
44C2×#14519749C2211yescharacteristic
45C2×#14519748C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519747C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C4×#11758226—28no—
50C2×Q8×Dic61C2211yescharacteristic, complemented
51C2×C4×D244C2211yescharacteristic
52C2×C4×D244C2211yescharacteristic
53C2×C4×D244C2211yescharacteristic
54C2×C4×D244C2211yescharacteristic, complemented
55C2×#14519739C2211yescharacteristic
56C2×#14519739C2211yescharacteristic
57C2×#14519739C2211yescharacteristic, complemented
58C2×C4×C22⋊D61C2211yescharacteristic
59C2×C4×C22⋊D61C2211yescharacteristic
60C2×C4×C22⋊D61C2211yescharacteristic
61C2×C4×C22⋊D61C2211yescharacteristic, complemented
62C2×#14519735C2211yescharacteristic
63C2×#14519735C2211yescharacteristic, complemented
64C2×#14519735C2211yescharacteristic, complemented
65C2×#14519734C2211yescharacteristic
66C2×#14519734C2211yescharacteristic, complemented
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C22⋊C4×D61C2211yescharacteristic
69C2×C42×D61C2211yescharacteristic
70C2×C42×D61C2211yescharacteristic
71C2×C42×D61C2211yescharacteristic, complemented
72C2×C42×D61C2211yescharacteristic, complemented
73#16839700C2211yescharacteristic, complemented
74#16839697C2211yescharacteristic
75#16839696C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839695C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839686C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic
81#16839684C2211yescharacteristic
82#16839684C2211yescharacteristic
83#16839683C2211yescharacteristic, complemented
84#16839681C2211yescharacteristic, complemented
85#16839680C2211yescharacteristic
86#16839680C2211yescharacteristic, complemented
87#16839678C2211yescharacteristic
88#16839678C2211yescharacteristic, complemented
89#16839677C2211yescharacteristic
90#16839677C2211yescharacteristic
91#16839675C2211yescharacteristic, complemented
92#16839673C2211yescharacteristic
93#16839672C2211yescharacteristic
94#16839671C2211yescharacteristic
95#16839671C2211yescharacteristic
96#16839671C2211yescharacteristic, complemented
97#16839666C2211yescharacteristic, complemented
98#16839666C2211yescharacteristic, complemented
99#16839665C2211yescharacteristic
100#16839662C2211yescharacteristic
101#16839662C2211yescharacteristic
102#16839662C2211yescharacteristic, complemented
103#16839659C2211yescharacteristic, complemented
104#16839658C2211yescharacteristic, complemented
105#16839656C2211yescharacteristic
106#16839656C2211yescharacteristic, complemented
107#16839655C2211yescharacteristic
108#16839655C2211yescharacteristic, complemented
109#16839655C2211yescharacteristic, complemented
110#16839654C2211yescharacteristic
111#16839654C2211yescharacteristic
112#16839654C2211yescharacteristic, complemented
113#16839654C2211yescharacteristic, complemented
114#16839651C2211yescharacteristic, complemented
115#16839650C2211yescharacteristic
116#16839650C2211yescharacteristic, complemented
117#16839647C2211yescharacteristic, complemented
118#16839647C2211yescharacteristic, complemented
119#16839647C2211yescharacteristic, complemented
120#16839647C2211yescharacteristic, complemented
121#16839645C2211yescharacteristic, complemented
122#16839645C2211yescharacteristic, complemented
123#16839644C2211yescharacteristic, complemented
124#16839644C2211yescharacteristic, complemented
125#16839640C2211yescharacteristic
126#16839640C2211yescharacteristic
127#16839640C2211yescharacteristic
128#16839640C2211yescharacteristic
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic
134#16839639C2211yescharacteristic
135#16839638C2211yescharacteristic
136#16839638C2211yescharacteristic
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic, complemented
140#16839638C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic, complemented
142#16839637C2211yescharacteristic
143#16839636C2211yescharacteristic
144#16839636C2211yescharacteristic
145#16839636C2211yescharacteristic
146#16839636C2211yescharacteristic
147#16839636C2211yescharacteristic
148#16839636C2211yescharacteristic, complemented
149#16839636C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839624C2211yescharacteristic
152#16839624C2211yescharacteristic, complemented
153#16839621C2211yescharacteristic
154#16839619C2211yescharacteristic, complemented
155#16839617C2211yescharacteristic
156C4×#11758196C2211yescharacteristic, complemented
157C4×#11758196C2211yescharacteristic, complemented
158C4×C4⋊Dic61C2211yescharacteristic, complemented
159C4×C4⋊Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C4×#11758198C2211yescharacteristic
163C4×#11758198C2211yescharacteristic
164C4×#11758198C2211yescharacteristic
165C4×#11758198C2211yescharacteristic
166C4×#11758198C2211yescharacteristic, complemented
167C4×#11758198C2211yescharacteristic, complemented
168C4×C22⋊Dic61C2211yescharacteristic
169C4×C22⋊Dic61C2211yescharacteristic, complemented
170#16839609C2211yescharacteristic
171#16839609C2211yescharacteristic
172#95×D61C2211yescharacteristic
173#95×D61C2211yescharacteristic
174C2×C4×Q8×C61C2211yescharacteristic, complemented
175C2×C4×D4×C61C2211yescharacteristic
176C61×#400C2211yescharacteristic, complemented
177C61×#400C2211yescharacteristic, complemented
178C61×#397C2211yescharacteristic
179C61×#397C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#393C2211yescharacteristic
183C61×#393C2211yescharacteristic, complemented
184C4×C22⋊C4×C61C2211yescharacteristic
185C4×C22⋊C4×C61C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C61×#376C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C2×#11758226—24no—
191C2×#11758226—24no—
192C2×#11758226—24no—
193C2×#11758222—24no—
194C2×#11758222—24no—
195C2×#11758222—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
209C22×C4×D61—24no—
210C22×C4×D61—24no—
211C22×C4×D61—42no—
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519762—24no—
227#14519759—24no—
228#14519759—24no—
229#14519759—24no—
230#14519755—24no—
231#14519754—24no—
232#14519750—24no—
233#14519750—24no—
234#14519749—24no—
235#14519748—24no—
236#14519747—24no—
237#14519747—24no—
238#14519745—24no—
239Q8×Dic61—24no—
240C4×D244—24no—
241C4×D244—24no—
242C4×D244—24no—
243C4×D244D418yescomplemented
244#14519739—24no—
245#14519739—24no—
246#14519739—24no—
247C4×C22⋊D61—24no—
248C4×C22⋊D61—24no—
249C4×C22⋊D61—42no—
250C4×C22⋊D61—42no—
251#14519735—24no—
252#14519735—24no—
253#14519735—24no—
254#14519734—24no—
255#14519734—42no—
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
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—24no—
313C22⋊C4×D61—24no—
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316C2×C4×Dic61C2311yescharacteristic
317C2×C4×Dic61C2311yescharacteristic
318C2×C4×Dic61C2311yescharacteristic
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C42×D61—24no—
327C42×D61—24no—
328C42×D61—24no—
329C42×D61—42no—
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
357C23×C4×C61C2311yescharacteristic
358C4×Q8×C61—24no—
359C4×D4×C61—24no—
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊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×C42×C61C2311yescharacteristic
375C2×C42×C61C2311yescharacteristic
376C2×C42×C61C2311yescharacteristic
377C2×C42×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379#95×C61C2311yescharacteristic
380#95×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—22no—
413C22×C4×C61—22no—
414C22×C4×C61—22no—
415C22×C4×C61—22no—
416C22×C4×C61C2411yescharacteristic
417C22×C4×C61C2411yescharacteristic
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
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—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61—41no—
445C2×C22⋊D61—41no—
446C2×C22⋊D61—41no—
447C22×Dic61—22no—
448C22×Dic61—22no—
449C22×Dic61—41no—
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#11758222—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—416no—
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×D61C2×D414yes—
519C2×C4×D61C2×D414yes—
520C2×C4×D61#4114yescomplemented
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—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C42×C61—22no—
540C42×C61—22no—
541C42×C61—22no—
542C42×C61—22no—
543C42×C61C2×D414yes—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—41no—
550C22⋊Dic61—41no—
551C22⋊Dic61#4114yescomplemented
552#11758198—22no—
553#11758198—22no—
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—41no—
572#11758198—41no—
573#11758198—41no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198C2×D414yes—
579#11758198C2×D414yes—
580C4⋊Dic61—22no—
581C4⋊Dic61—22no—
582C4⋊Dic61—22no—
583C4⋊Dic61—22no—
584C4⋊Dic61—22no—
585C4⋊Dic61—22no—
586C4⋊Dic61—41no—
587C4⋊Dic61C2×D414yes—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—22no—
594#11758196—22no—
595#11758196—41no—
596#11758196—41no—
597#11758196—41no—
598#11758196—41no—
599#11758196—41no—
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×Dic61—41no—
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—44no—
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—
704C2×C4×C61H(5,𝔽2)12yes—
705C22⋊D61—44no—
706C22⋊D61—44no—
707C22⋊D61—44no—
708C22⋊D61—44no—
709C22⋊D61—44no—
710C22⋊D61—44no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
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—21no—
741C2×Dic61—44no—
742C2×Dic61C22×D412yes—
743C2×Dic61C22×D412yes—
744C2×Dic61C2×#4112yes—
745C2×Dic61C2×#4112yes—
746C2×Dic61C2×#4112yes—
747C2×Dic61C2×#4112yes—
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—28no—
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—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61#54614yes—
832Dic61—22no—
833Dic61—22no—
834Dic61—22no—
835Dic61—22no—
836Dic61—22no—
837Dic61—22no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
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#2458—611no—
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#2398D6111yescharacteristic, complemented
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×#123—611no—
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×D4C2×D6111yescharacteristic
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#400C2×D6111yescharacteristic, complemented
933#400C2×D6111yescharacteristic, complemented
934#399—611no—
935#398—611no—
936#398—611no—
937#398—611no—
938#397—611no—
939#397C2×D6111yescharacteristic
940#397C2×D6111yescharacteristic, complemented
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#394C2×D6111yescharacteristic
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#390—611no—
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#388—611no—
980#388—611no—
981#388—611no—
982#388—611no—
983#387—611no—
984#387—611no—
985#387—611no—
986#387—611no—
987#387—611no—
988#387—611no—
989#387—611no—
990#387—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#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385—611no—
1013#385—611no—
1014#385—611no—
1015#385—611no—
1016#385—611no—
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⋊C4C2×D6111yescharacteristic
1039C4×C22⋊C4C2×D6111yescharacteristic
1040C4×C22⋊C4C2×D6111yescharacteristic, complemented
1041C4×C22⋊C4C2×D6111yescharacteristic, complemented
1042#376C2×D6111yescharacteristic, complemented
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—1224no—
1083C23×C4—1224no—
1084C23×C4—2442no—
1085C23×C4C22×D6111yescharacteristic
1086C23×C4C22×D6111yescharacteristic
1087#123—1224no—
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—24no—
1103C4×D4—618no—
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⋊C4—611no—
1137C2×C4⋊C4—611no—
1138C2×C4⋊C4—611no—
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—611no—
1179C2×C22⋊C4—1224no—
1180C2×C22⋊C4—1224no—
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—1224no—
1204C2×C42—1224no—
1205C2×C42—1224no—
1206C2×C42—2442no—
1207C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1237#95C22×D6111yescharacteristic
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—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—611no—
1312C22×C4—611no—
1313C22×C4—611no—
1314C22×C4—611no—
1315C22×C4—611no—
1316C22×C4—611no—
1317C22×C4—614no—
1318C22×C4—614no—
1319C22×C4—614no—
1320C22×C4—614no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
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—2441no—
1360C22×C4—2441no—
1361C22×C4—2441no—
1362C22×C4—2441no—
1363C22×C4—2441no—
1364C22×C4—2441no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—24416no—
1368C22×C4—2441no—
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—614no—
1387C4⋊C4—1222no—
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—2441no—
1401C4⋊C4—2441no—
1402C4⋊C4—2441no—
1403C4⋊C4—2441no—
1404C4⋊C4—2441no—
1405C4⋊C4—2441no—
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—41no—
1415C22⋊C4—41no—
1416C22⋊C4—614no—
1417C22⋊C4—614no—
1418C22⋊C4—614no—
1419C22⋊C4—1222no—
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—1222no—
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—22no—
1456C42—1222no—
1457C42—1222no—
1458C42—1222no—
1459C42—1222no—
1460C42—1222no—
1461C42—1222no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—2441no—
1467C42—2441no—
1468C42D4×D6114yes—
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—44no—
1566C2×C4—44no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—612no—
1570C2×C4—612no—
1571C2×C4—612no—
1572C2×C4—612no—
1573C2×C4—1228no—
1574C2×C4—1228no—
1575C2×C4—1228no—
1576C2×C4—1221no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
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—1228no—
1589C2×C4—1228no—
1590C2×C4—1228no—
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×C4C2×D4×D6112yes—
1619C2×C4C2×D4×D6112yes—
1620C2×C4C2×D4×D6112yes—
1621C2×C4#41×D6112yes—
1622C2×C4#41×D6112yes—
1623C2×C4#41×D6112yes—
1624C2×C4#1451982312yes—
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
1673C22C2×#1451982311yescharacteristic
1674C22#1684059811yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—1222no—
1688C4—1222no—
1689C4—1222no—
1690C4—1222no—
1691C4—1222no—
1692C4—1222no—
1693C4—2441no—
1694C4—2441no—
1695C4—2441no—
1696C4—2441no—
1697C4—2441no—
1698C4—2441no—
1699C4#1684040514yes—
1700C2—42no—
1701C2—81no—
1702C2—1224no—
1703C2—2442no—
1704C2—2442no—
1705C2—2442no—
1706C2#525×D6111yescharacteristic
1707C2#2145911311yescharacteristic
1708C2#2145924011yescharacteristic
1709C2C2×#1684040511yescharacteristic
1710C2#2145930211yescharacteristic
1711C2#2145937511yescharacteristic
1712C2#2145942511yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC61×#2398C2
hypercenter#2398D61
hypocenterC61#34732
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #2398

Complements

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

NH ≅ G/Ntype
1. C2×#16840271C2semidirect
2. C2×C4×#11758226C2semidirect
3. #21450013C2semidirect
4. #21450006C2semidirect
5. #21449925C2semidirect
6. #21449918C2semidirect
7. #21449833C2semidirect
8. #21449826C2semidirect
9. #21449736C2semidirect
10. #21449729C2semidirect
11. #21449646C2semidirect
12. #21449572C2semidirect
13. #21449498C2semidirect
14. #21449432C2semidirect
15. #21449348C2semidirect
16. #21449282C2semidirect
17. #21449197C2semidirect
18. #21449139C2semidirect
19. #21449089C2semidirect
20. #21449063C2semidirect
21. #21449035C2semidirect
22. C4×#14519759C2semidirect
23. C4×#14519759C2semidirect
24. C4×#14519750C2semidirect
25. C4×#14519748C2semidirect
26. C4×#14519747C2semidirect
27. #21448305C2semidirect
28. #21448263C2semidirect
29. #21448263C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2398C2semidirect
50. C2×Q8×Dic61C22semidirect
54. C2×C4×D244C22semidirect
57. C2×#14519739C22semidirect
61. C2×C4×C22⋊D61C22semidirect
63. C2×#14519735C22semidirect
64. C2×#14519735C22semidirect
66. C2×#14519734C22semidirect
71. C2×C42×D61C22semidirect
72. C2×C42×D61C22semidirect
73. #16839700C22semidirect
75. #16839696C22semidirect
76. #16839695C22semidirect
77. #16839695C22semidirect
78. #16839691C22semidirect
79. #16839686C22semidirect
83. #16839683C22semidirect
84. #16839681C22semidirect
86. #16839680C22semidirect
88. #16839678C22semidirect
91. #16839675C22semidirect
96. #16839671C22semidirect
97. #16839666C22semidirect
98. #16839666C22semidirect
102. #16839662C22semidirect
103. #16839659C22semidirect
104. #16839658C22semidirect
106. #16839656C22semidirect
108. #16839655C22semidirect
109. #16839655C22semidirect
112. #16839654C22semidirect
113. #16839654C22semidirect
114. #16839651C22semidirect
116. #16839650C22semidirect
117. #16839647C22semidirect
118. #16839647C22semidirect
119. #16839647C22semidirect
120. #16839647C22semidirect
121. #16839645C22semidirect
122. #16839645C22semidirect
123. #16839644C22semidirect
124. #16839644C22semidirect
139. #16839638C22semidirect
140. #16839638C22semidirect
141. #16839638C22semidirect
148. #16839636C22semidirect
149. #16839636C22semidirect
150. #16839636C22semidirect
152. #16839624C22semidirect
154. #16839619C22semidirect
156. C4×#11758196C22semidirect
157. C4×#11758196C22semidirect
158. C4×C4⋊Dic61C22semidirect
159. C4×C4⋊Dic61C22semidirect
166. C4×#11758198C22semidirect
167. C4×#11758198C22semidirect
169. C4×C22⋊Dic61C22semidirect
174. C2×C4×Q8×C61C22semidirect
176. C61×#400C22semidirect
177. C61×#400C22semidirect
179. C61×#397C22semidirect
183. C61×#393C22semidirect
186. C4×C22⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
188. C61×#376C22semidirect
243. C4×D244D4semidirect
478. C2×D244#41semidirect
520. C2×C4×D61#41semidirect
521. C2×C4×D61#41semidirect
551. C22⋊Dic61#41semidirect
862. #2398D61semidirect
907. C2×C4×Q8C2×D61semidirect
932. #400C2×D61semidirect
933. #400C2×D61semidirect
940. #397C2×D61semidirect
958. #393C2×D61semidirect
1040. C4×C22⋊C4C2×D61semidirect
1041. C4×C22⋊C4C2×D61semidirect
1042. #376C2×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×#168402712
C2×C4×#117582262
#214500132
#214500062
#214499252
#214499182
#214498332
#214498262
#214497362
#214497292
#214496462
#214495722
#214494982
#214494322
#214493482
#214492822
#214491972
#214491392
#214490892
#214490632
#214490352
C4×#145197592
C4×#145197502
C4×#145197482
C4×#145197472
#214483052
#214482632
C4×C22⋊C4×D612
C61×#23982
#3473261