Finite Group Databasebeta

← #29887100

Subgroups — #29887100

Order 15616.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840344C211yesmaximal, characteristic, complemented
2C2×#16840273C211yesmaximal, characteristic, complemented
3#21454111C211yesmaximal, characteristic, complemented
4#21452492C211yesmaximal, characteristic, complemented
5#21452447C211yesmaximal, characteristic, complemented
6#21452421C211yesmaximal, characteristic, complemented
7#21452408C211yesmaximal, characteristic, complemented
8#21452241C211yesmaximal, characteristic, complemented
9#21452180C211yesmaximal, characteristic, complemented
10#21452175C211yesmaximal, characteristic, complemented
11#21452165C211yesmaximal, characteristic, complemented
12#21452153C211yesmaximal, characteristic, complemented
13#21452147C211yesmaximal, characteristic, complemented
14#21452145C211yesmaximal, characteristic, complemented
15#21452140C211yesmaximal, characteristic, complemented
16#21452071C211yesmaximal, characteristic, complemented
17#21452041C211yesmaximal, characteristic, complemented
18#21452036C211yesmaximal, characteristic, complemented
19#21452031C211yesmaximal, characteristic, complemented
20#21451704C211yesmaximal, characteristic, complemented
21#21451660C211yesmaximal, characteristic, complemented
22#21451502C211yesmaximal, characteristic, complemented
23#21451443C211yesmaximal, characteristic, complemented
24#21451412C211yesmaximal, characteristic, complemented
25#21451403C211yesmaximal, characteristic, complemented
26#21450788C211yesmaximal, characteristic, complemented
27#21450707C211yesmaximal, characteristic, complemented
28#21449161C211yesmaximal, characteristic, complemented
29#21449136C211yesmaximal, characteristic, complemented
30#21448461C211yesmaximal, characteristic, complemented
31C61×#2847C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33#16840344—28no—
34C2×#14519773C2211yescharacteristic
35C2×#14519772C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519764C2211yescharacteristic
38C2×#14519763C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic, complemented
40#16840273—28no—
41C2×#14519760C2211yescharacteristic
42C2×#14519760C2211yescharacteristic
43C2×#14519760C2211yescharacteristic
44C2×#14519760C2211yescharacteristic, complemented
45C2×#14519759C2211yescharacteristic
46C2×#14519758C2211yescharacteristic, complemented
47C2×#14519756C2211yescharacteristic, complemented
48C2×#14519756C2211yescharacteristic, complemented
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519751C2211yescharacteristic
52C2×#14519751C2211yescharacteristic
53C2×#14519749C2211yescharacteristic
54C2×#14519749C2211yescharacteristic, complemented
55C2×#14519748C2211yescharacteristic
56C2×#14519747C2211yescharacteristic, complemented
57C2×#14519746C2211yescharacteristic
58C2×#14519746C2211yescharacteristic
59C2×#14519746C2211yescharacteristic, complemented
60C2×#14519745C2211yescharacteristic
61C2×#14519745C2211yescharacteristic
62C2×#14519745C2211yescharacteristic
63C2×#14519745C2211yescharacteristic, complemented
64C2×C4×C22⋊D61C2211yescharacteristic
65C2×C4×C22⋊D61C2211yescharacteristic
66C2×C4×C22⋊D61C2211yescharacteristic, complemented
67C2×C4×C22⋊D61C2211yescharacteristic, complemented
68C2×#14519737C2211yescharacteristic, complemented
69C2×#14519736C2211yescharacteristic, complemented
70C2×C22⋊C4×D61C2211yescharacteristic, complemented
71#16839700C2211yescharacteristic, complemented
72#16839697C2211yescharacteristic, complemented
73#16839696C2211yescharacteristic, complemented
74#16839694C2211yescharacteristic, complemented
75#16839692C2211yescharacteristic, complemented
76#16839691C2211yescharacteristic, complemented
77#16839690C2211yescharacteristic, complemented
78#16839687C2211yescharacteristic, complemented
79#16839686C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic, complemented
81#16839685C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic, complemented
83#16839684C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839683C2211yescharacteristic, complemented
86#16839680C2211yescharacteristic, complemented
87#16839680C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic
97#16839677C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839676C2211yescharacteristic
100#16839676C2211yescharacteristic
101#16839676C2211yescharacteristic
102#16839676C2211yescharacteristic, complemented
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839675C2211yescharacteristic, complemented
106#16839674C2211yescharacteristic, complemented
107#16839674C2211yescharacteristic, complemented
108#16839671C2211yescharacteristic
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic, complemented
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic
114#16839670C2211yescharacteristic
115#16839670C2211yescharacteristic
116#16839670C2211yescharacteristic
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839666C2211yescharacteristic, complemented
120#16839666C2211yescharacteristic, complemented
121#16839665C2211yescharacteristic
122#16839665C2211yescharacteristic
123#16839665C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic
125#16839662C2211yescharacteristic
126#16839662C2211yescharacteristic
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839659C2211yescharacteristic, complemented
131#16839657C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic, complemented
134#16839655C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839655C2211yescharacteristic, complemented
137#16839654C2211yescharacteristic, complemented
138#16839654C2211yescharacteristic, complemented
139#16839654C2211yescharacteristic, complemented
140#16839652C2211yescharacteristic, complemented
141#16839652C2211yescharacteristic, complemented
142#16839650C2211yescharacteristic, complemented
143#16839650C2211yescharacteristic, complemented
144#16839650C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic, complemented
147#16839647C2211yescharacteristic, complemented
148#16839644C2211yescharacteristic, complemented
149#16839642C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic
151#16839641C2211yescharacteristic
152#16839641C2211yescharacteristic
153#16839641C2211yescharacteristic
154#16839640C2211yescharacteristic, complemented
155#16839640C2211yescharacteristic, complemented
156#16839638C2211yescharacteristic
157#16839638C2211yescharacteristic, complemented
158#16839638C2211yescharacteristic, complemented
159#16839636C2211yescharacteristic, complemented
160#16839635C2211yescharacteristic, complemented
161#16839635C2211yescharacteristic, complemented
162#16839635C2211yescharacteristic, complemented
163#16839635C2211yescharacteristic, complemented
164#16839634C2211yescharacteristic, complemented
165#16839625C2211yescharacteristic, complemented
166#16839625C2211yescharacteristic, complemented
167#16839624C2211yescharacteristic, complemented
168#16839624C2211yescharacteristic, complemented
169#16839621C2211yescharacteristic, complemented
170#16839618C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839613C2211yescharacteristic, complemented
173#16839607C2211yescharacteristic, complemented
174C24×C4×C61C2211yescharacteristic, complemented
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#121×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic, complemented
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
187C61×#380C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C2×#11758222—24no—
191C2×#11758222—42no—
192C2×#11758222—42no—
193C22×Dic122C2311yescharacteristic
194C22×Dic122C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214#14519773—42no—
215#14519772—24no—
216#14519770—24no—
217#14519764—24no—
218#14519763—24no—
219#14519763—42no—
220#14519760—24no—
221#14519760—24no—
222#14519760—24no—
223#14519760—42no—
224#14519759—42no—
225#14519758—24no—
226#14519756—24no—
227#14519756—24no—
228#14519755—24no—
229#14519754—42no—
230#14519751—24no—
231#14519751—24no—
232#14519749—24no—
233#14519749—42no—
234#14519748—24no—
235#14519747—42no—
236#14519746—24no—
237#14519746—24no—
238#14519746—42no—
239#14519745—24no—
240#14519745—24no—
241#14519745—42no—
242#14519745—42no—
243C4×C22⋊D61—24no—
244C4×C22⋊D61—24no—
245C4×C22⋊D61—24no—
246C4×C22⋊D61D418yescomplemented
247#14519737—24no—
248#14519736—24no—
249C2×C4⋊Dic61C2311yescharacteristic
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
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
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C22⋊C4×D61—24no—
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
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
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348C25×C61C2311yescharacteristic
349C22×D4×C61C2311yescharacteristic
350C22×D4×C61C2311yescharacteristic
351C22×D4×C61C2311yescharacteristic
352C22×D4×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C23×C4×C61—24no—
357C23×C4×C61—42no—
358C23×C4×C61—42no—
359C23×C4×C61C2311yescharacteristic
360C23×C4×C61C2311yescharacteristic
361C23×C4×C61C2311yescharacteristic
362C23×C4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365#121×C61—24no—
366#121×C61—42no—
367#121×C61—42no—
368#120×C61—42no—
369#120×C61—42no—
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊C4×C61C2311yescharacteristic
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61—22no—
392C24×C61—22no—
393C24×C61—22no—
394C24×C61—41no—
395C24×C61—41no—
396C24×C61—41no—
397C24×C61—41no—
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C24×C61C2411yescharacteristic
402C24×C61C2411yescharacteristic
403C23×D61—22no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61C2411yescharacteristic
411C23×D61C2411yescharacteristic
412C23×D61C2411yescharacteristic
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—22no—
419C2×D4×C61—22no—
420C2×D4×C61—41no—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C22×C4×C61—22no—
435C22×C4×C61—22no—
436C22×C4×C61—22no—
437C22×C4×C61—22no—
438C22×C4×C61—22no—
439C22×C4×C61—22no—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—41no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61—41no—
449C22×C4×C61—41no—
450C22×C4×C61—41no—
451C22×C4×C61—416no—
452C22×C4×C61C2×D414yes—
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61C2×D414yes—
502C22×Dic61—22no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61C2411yescharacteristic
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518#11758222—416no—
519C2×D244—22no—
520C2×D244—22no—
521C2×D244—41no—
522C2×D244—41no—
523C2×D244—41no—
524C2×D244—41no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61C2×D414yes—
534C2×Dic122—22no—
535C2×Dic122—22no—
536C2×Dic122—22no—
537C2×Dic122—41no—
538C2×Dic122—41no—
539C2×Dic122—41no—
540C4⋊C4×C61—22no—
541C4⋊C4×C61—41no—
542C4⋊C4×C61—41no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—22no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61C2×D414yes—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198C2×D414yes—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—41no—
607C4⋊Dic61—41no—
608C4⋊Dic61—41no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622#11758196—41no—
623#11758196C2×D414yes—
624C4×Dic61—22no—
625C4×Dic61—22no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61—41no—
629C4×Dic61—41no—
630C4×Dic61C2×D414yes—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—44no—
664C23×C61—44no—
665C23×C61—44no—
666C23×C61—44no—
667C23×C61—44no—
668C23×C61—44no—
669C23×C61—44no—
670C23×C61C22×D412yes—
671C23×C61H(5,𝔽2)12yes—
672C23×C61H(5,𝔽2)12yes—
673C23×C61C2511yescharacteristic
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—44no—
695C22×D61—82no—
696C22×D61—82no—
697C22×D61—82no—
698C22×D61—82no—
699C22×D61—82no—
700C22×D61—82no—
701C22×D61C22×D412yes—
702D4×C61—82no—
703D4×C61—82no—
704D4×C61—82no—
705D4×C61—82no—
706D4×C61—82no—
707D4×C61—82no—
708D4×C61—82no—
709C2×C4×C61—28no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—44no—
738C2×C4×C61—44no—
739C2×C4×C61—44no—
740C2×C4×C61—44no—
741C2×C4×C61—44no—
742C2×C4×C61C22×D412yes—
743C2×C4×C61C22×D412yes—
744C2×C4×C61H(5,𝔽2)12yes—
745C22⋊D61—44no—
746C22⋊D61—44no—
747C22⋊D61—44no—
748C22⋊D61—44no—
749C22⋊D61—44no—
750C22⋊D61—44no—
751C22⋊D61—44no—
752C22⋊D61—82no—
753C22⋊D61—82no—
754C22⋊D61—82no—
755C22⋊D61—82no—
756C22⋊D61—82no—
757C22⋊D61—82no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—82no—
795C2×Dic61C22×D412yes—
796C2×Dic61C22×D412yes—
797C2×Dic61C22×D412yes—
798D244—44no—
799D244—82no—
800C4×D61—44no—
801C4×D61—44no—
802C4×D61—82no—
803Dic122—44no—
804Dic122—82no—
805#36724—611nomaximal, Sylow
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
810C22×C61—22no—
811C22×C61—22no—
812C22×C61—22no—
813C22×C61—22no—
814C22×C61—22no—
815C22×C61—416no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61C23×D411yescharacteristic
843C22×C61C2×H(5,𝔽2)11yescharacteristic
844C22×C61C2×H(5,𝔽2)11yescharacteristic
845C22×C61C2×H(5,𝔽2)11yescharacteristic
846C22×C61#58511yescharacteristic
847C22×C61#58511yescharacteristic
848C22×C61#58511yescharacteristic
849C2×D61—22no—
850C2×D61—22no—
851C2×D61—22no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—88no—
871C4×C61—22no—
872C4×C61—22no—
873C4×C61—22no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61—41no—
880C4×C61—41no—
881Dic61—22no—
882Dic61—22no—
883Dic61—22no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61—41no—
892Dic61—41no—
893Dic61—41no—
894C2×#538—611no—
895C2×#525—611no—
896#2849—611no—
897#2847D6111yescharacteristic, complemented
898#2705—611no—
899#2702—611no—
900#2700—611no—
901#2699—611no—
902#2687—611no—
903#2682—611no—
904#2681—611no—
905#2681—611no—
906#2679—611no—
907#2678—611no—
908#2678—611no—
909#2678—611no—
910#2672—611no—
911#2670—611no—
912#2669—611no—
913#2669—611no—
914#2635—611no—
915#2630—611no—
916#2610—611no—
917#2603—611no—
918#2601—611no—
919#2600—611no—
920#2544—611no—
921#2534—611no—
922#2407—611no—
923#2404—611no—
924#2319—611no—
925C2×C61—42no—
926C2×C61—42no—
927C2×C61—42no—
928C2×C61—81no—
929C2×C61—81no—
930C2×C61#344911yescharacteristic
931C2×C61#348411yescharacteristic
932C2×C61#348811yescharacteristic
933C2×C61#353311yescharacteristic
934C2×C61#353411yescharacteristic
935C2×C61#354011yescharacteristic
936C2×C61#354211yescharacteristic
937D61—42no—
938D61—81no—
939D61—81no—
940C22×#41—611no—
941C24×C4C2×D6111yescharacteristic, complemented
942#538—1228no—
943C2×#127—611no—
944C2×#126—611no—
945C2×#126—611no—
946C2×#124—611no—
947C2×#124—611no—
948C2×#124—611no—
949#525—1228no—
950C2×#123—611no—
951C2×#123—611no—
952C2×#123—611no—
953C2×#123—611no—
954C2×#123—611no—
955C2×#123—611no—
956C2×C22⋊Q8—611no—
957C2×C22⋊Q8—611no—
958C2×C22⋊Q8—611no—
959C2×C22⋊Q8—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121C2×D6111yescharacteristic
966C2×#121C2×D6111yescharacteristic
967C2×#121C2×D6111yescharacteristic
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×#120—611no—
976C2×#120C2×D6111yescharacteristic
977C2×#120C2×D6111yescharacteristic, complemented
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×C4×D4—611no—
981C2×C4×D4—611no—
982C2×C4×D4—611no—
983C2×#117—611no—
984C22×C22⋊C4—611no—
985#400—611no—
986#399—611no—
987#398—611no—
988#398—611no—
989#398—611no—
990#397—611no—
991#397—611no—
992#397—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#395—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#394—611no—
1013#394—611no—
1014#394—611no—
1015#394—611no—
1016#394—611no—
1017#394—611no—
1018#394—611no—
1019#393—611no—
1020#393—611no—
1021#393—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#392—611no—
1029#392—611no—
1030#392—611no—
1031#392—611no—
1032#392—611no—
1033#391—611no—
1034#391—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#390—611no—
1042#390—611no—
1043#390—611no—
1044#389—611no—
1045#389—611no—
1046#389—611no—
1047#388—611no—
1048#388—611no—
1049#388—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388—611no—
1057#388—611no—
1058#388—611no—
1059#388—611no—
1060#388—611no—
1061#387—611no—
1062#387—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#386C2×D6111yescharacteristic
1074#386C2×D6111yescharacteristic
1075#386C2×D6111yescharacteristic
1076#386C2×D6111yescharacteristic, complemented
1077#386C2×D6111yescharacteristic, complemented
1078#386C2×D6111yescharacteristic, complemented
1079#385—611no—
1080#385—611no—
1081#385—611no—
1082#385—611no—
1083#385—611no—
1084#385—611no—
1085#381—611no—
1086#381—611no—
1087#381—611no—
1088#381—611no—
1089#380—611no—
1090#380C2×D6111yescharacteristic, complemented
1091#380C2×D6111yescharacteristic, complemented
1092#380C2×D6111yescharacteristic, complemented
1093#379—611no—
1094#379—611no—
1095C4×C4⋊C4—611no—
1096#376—611no—
1097C61#3672411yescharacteristic, complemented, Sylow
1098C25—611no—
1099C25C22×D6111yescharacteristic
1100C2×#41—1224no—
1101C2×#41—2442no—
1102C2×#41—2442no—
1103C22×Q8—611no—
1104C22×Q8—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4—611no—
1120C22×D4C22×D6111yescharacteristic
1121C22×D4C22×D6111yescharacteristic
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C22×D4C22×D6111yescharacteristic
1126C22×D4C22×D6111yescharacteristic
1127C23×C4—24no—
1128C23×C4—42no—
1129C23×C4—42no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—611no—
1134C23×C4C22×D6111yescharacteristic
1135C23×C4C22×D6111yescharacteristic
1136C23×C4C22×D6111yescharacteristic
1137C23×C4C22×D6111yescharacteristic
1138C23×C4C22×D6111yescharacteristic
1139C23×C4C22×D6111yescharacteristic
1140#127—2442no—
1141#126—1224no—
1142#126—1224no—
1143#124—1224no—
1144#124—1224no—
1145#124—2442no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—2442no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154C22⋊Q8—1224no—
1155C22⋊Q8—2442no—
1156#121—24no—
1157#121—42no—
1158#121—42no—
1159#121—1224no—
1160#121—1224no—
1161#121—1224no—
1162#121—1224no—
1163#121—2442no—
1164#120—42no—
1165#120—42no—
1166#120—1224no—
1167#120—1224no—
1168#120—1224no—
1169#120—1224no—
1170#120—2442no—
1171#120—2442no—
1172#120—2442no—
1173#120—2442no—
1174C4×D4—618no—
1175C4×D4—1224no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179#117—1224no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4C22×D6111yescharacteristic
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—1224no—
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C22⋊C4C22×D6111yescharacteristic
1261C2×C22⋊C4C22×D6111yescharacteristic
1262C2×C22⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4C22×D6111yescharacteristic
1264C2×C22⋊C4C22×D6111yescharacteristic
1265C2×C42—611no—
1266C2×C42—611no—
1267C2×C42—611no—
1268C2×C42—611no—
1269C2×C42—611no—
1270C2×C42—611no—
1271C2×C42—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291#95—611no—
1292#95—611no—
1293#95—611no—
1294#95C22×D6111yescharacteristic
1295#95C22×D6111yescharacteristic
1296#95C22×D6111yescharacteristic
1297#95C22×D6111yescharacteristic
1298#95C22×D6111yescharacteristic
1299#95C22×D6111yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—611no—
1308C24—611no—
1309C24—611no—
1310C24—1222no—
1311C24—2441no—
1312C24—2441no—
1313C24—2441no—
1314C24—2441no—
1315C24—2441no—
1316C24—2441no—
1317C24C23×D6111yescharacteristic
1318C24C23×D6111yescharacteristic
1319C24C23×D6111yescharacteristic
1320C24C23×D6111yescharacteristic
1321C24C23×D6111yescharacteristic
1322#41—24416no—
1323C2×Q8—1222no—
1324C2×Q8—1222no—
1325C2×Q8—1222no—
1326C2×Q8—2441no—
1327C2×Q8—2441no—
1328C2×Q8—2441no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—614no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—1222no—
1354C2×D4—1222no—
1355C2×D4—1222no—
1356C2×D4—1222no—
1357C2×D4—1222no—
1358C2×D4—1222no—
1359C2×D4—1222no—
1360C2×D4—1222no—
1361C2×D4—1222no—
1362C2×D4—1222no—
1363C2×D4—1222no—
1364C2×D4—1222no—
1365C2×D4—1222no—
1366C2×D4—1222no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C2×D4—2441no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—41no—
1408C22×C4—41no—
1409C22×C4—41no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—416no—
1413C22×C4—611no—
1414C22×C4—611no—
1415C22×C4—611no—
1416C22×C4—614no—
1417C22×C4—611no—
1418C22×C4—611no—
1419C22×C4—611no—
1420C22×C4—611no—
1421C22×C4—611no—
1422C22×C4—611no—
1423C22×C4—611no—
1424C22×C4—611no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—1222no—
1428C22×C4—1222no—
1429C22×C4—1222no—
1430C22×C4—2441no—
1431C22×C4—2441no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4—2441no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4D4×D6114yes—
1439C22×C4C23×D6111yescharacteristic
1440C22×C4C23×D6111yescharacteristic
1441C22×C4C23×D6111yescharacteristic
1442C22×C4C23×D6111yescharacteristic
1443C22×C4C23×D6111yescharacteristic
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—614no—
1453C4⋊C4—1222no—
1454C4⋊C4—1222no—
1455C4⋊C4—1222no—
1456C4⋊C4—1222no—
1457C4⋊C4—1222no—
1458C4⋊C4—1222no—
1459C4⋊C4—1222no—
1460C4⋊C4—1222no—
1461C4⋊C4—1222no—
1462C4⋊C4—1222no—
1463C4⋊C4—2441no—
1464C4⋊C4—2441no—
1465C4⋊C4—2441no—
1466C4⋊C4—2441no—
1467C4⋊C4—2441no—
1468C4⋊C4—2441no—
1469C4⋊C4—2441no—
1470C4⋊C4—2441no—
1471C4⋊C4—2441no—
1472C4⋊C4—2441no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—614no—
1486C22⋊C4—614no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—1222no—
1501C22⋊C4—1222no—
1502C22⋊C4—1222no—
1503C22⋊C4—1222no—
1504C22⋊C4—1222no—
1505C22⋊C4—1222no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
1508C22⋊C4—2441no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4—2441no—
1532C22⋊C4—2441no—
1533C42—614no—
1534C42—1222no—
1535C42—1222no—
1536C42—2441no—
1537C42—2441no—
1538C42—2441no—
1539C42—2441no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—612no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—1221no—
1592C23—1221no—
1593C23—1221no—
1594C23—1221no—
1595C23—1221no—
1596C23—1221no—
1597C23—1221no—
1598C23—1221no—
1599C23—1221no—
1600C23—4882no—
1601C23—4882no—
1602C23—4882no—
1603C23—4882no—
1604C23—4882no—
1605C23—4882no—
1606C23—2444no—
1607C23C2×D4×D6112yes—
1608C23#1451982212yes—
1609C23#1451982212yes—
1610C23C24×D6111yescharacteristic
1611Q8—4882no—
1612Q8—2444no—
1613D4—82no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—4882no—
1621D4—4882no—
1622D4—4882no—
1623D4—4882no—
1624D4—4882no—
1625D4—4882no—
1626D4—4882no—
1627D4—2444no—
1628D4—2444no—
1629D4—2444no—
1630D4—2444no—
1631D4—2444no—
1632D4—2444no—
1633D4—2444no—
1634D4—2444no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—44no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—612no—
1669C2×C4—612no—
1670C2×C4—612no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—1221no—
1699C2×C4—1221no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—4882no—
1708C2×C4—4882no—
1709C2×C4—2444no—
1710C2×C4—2444no—
1711C2×C4C2×D4×D6112yes—
1712C2×C4C2×D4×D6112yes—
1713C2×C4#1451982212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—1222no—
1751C22—1222no—
1752C22—1222no—
1753C22—4888no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22—2441no—
1767C22—2441no—
1768C22—2441no—
1769C22—2441no—
1770C22—2441no—
1771C22—2441no—
1772C22C22×D4×D6111yescharacteristic
1773C22C2×#1451982211yescharacteristic
1774C22C2×#1451982211yescharacteristic
1775C22C2×#1451982211yescharacteristic
1776C22#1684059811yescharacteristic
1777C22#1684059811yescharacteristic
1778C22#1684059811yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—1222no—
1790C4—1222no—
1791C4—1222no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C4—2441no—
1797C4—2441no—
1798C4—2441no—
1799C4—2441no—
1800C4—2441no—
1801C4—2441no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—4881no—
1808C2—4881no—
1809C2—2442no—
1810C2#2145914911yescharacteristic
1811C2#2145944811yescharacteristic
1812C2#2145948411yescharacteristic
1813C2#2145998311yescharacteristic
1814C2#2146000911yescharacteristic
1815C2#2146009411yescharacteristic
1816C2#2146013911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2847C2
hypercenter#2847D61
hypocenterC61#36724
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2847

Complements

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

NH ≅ G/Ntype
1. C2×#16840344C2semidirect
2. C2×#16840273C2semidirect
3. #21454111C2semidirect
4. #21452492C2semidirect
5. #21452447C2semidirect
6. #21452421C2semidirect
7. #21452408C2semidirect
8. #21452241C2semidirect
9. #21452180C2semidirect
10. #21452175C2semidirect
11. #21452165C2semidirect
12. #21452153C2semidirect
13. #21452147C2semidirect
14. #21452145C2semidirect
15. #21452140C2semidirect
16. #21452071C2semidirect
17. #21452041C2semidirect
18. #21452036C2semidirect
19. #21452031C2semidirect
20. #21451704C2semidirect
21. #21451660C2semidirect
22. #21451502C2semidirect
23. #21451443C2semidirect
24. #21451412C2semidirect
25. #21451403C2semidirect
26. #21450788C2semidirect
27. #21450707C2semidirect
28. #21449161C2semidirect
29. #21449136C2semidirect
30. #21448461C2semidirect
31. C61×#2847C2semidirect
35. C2×#14519772C22semidirect
36. C2×#14519770C22semidirect
38. C2×#14519763C22semidirect
39. C2×#14519763C22semidirect
44. C2×#14519760C22semidirect
46. C2×#14519758C22semidirect
47. C2×#14519756C22semidirect
48. C2×#14519756C22semidirect
49. C2×#14519755C22semidirect
50. C2×#14519754C22semidirect
54. C2×#14519749C22semidirect
56. C2×#14519747C22semidirect
59. C2×#14519746C22semidirect
63. C2×#14519745C22semidirect
66. C2×C4×C22⋊D61C22semidirect
67. C2×C4×C22⋊D61C22semidirect
68. C2×#14519737C22semidirect
69. C2×#14519736C22semidirect
70. C2×C22⋊C4×D61C22semidirect
71. #16839700C22semidirect
72. #16839697C22semidirect
73. #16839696C22semidirect
74. #16839694C22semidirect
75. #16839692C22semidirect
76. #16839691C22semidirect
77. #16839690C22semidirect
78. #16839687C22semidirect
79. #16839686C22semidirect
80. #16839685C22semidirect
81. #16839685C22semidirect
82. #16839685C22semidirect
83. #16839684C22semidirect
84. #16839684C22semidirect
85. #16839683C22semidirect
86. #16839680C22semidirect
87. #16839680C22semidirect
88. #16839679C22semidirect
91. #16839678C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
97. #16839677C22semidirect
98. #16839677C22semidirect
102. #16839676C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839675C22semidirect
106. #16839674C22semidirect
107. #16839674C22semidirect
110. #16839671C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839666C22semidirect
120. #16839666C22semidirect
123. #16839665C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839659C22semidirect
131. #16839657C22semidirect
132. #16839657C22semidirect
133. #16839655C22semidirect
134. #16839655C22semidirect
135. #16839655C22semidirect
136. #16839655C22semidirect
137. #16839654C22semidirect
138. #16839654C22semidirect
139. #16839654C22semidirect
140. #16839652C22semidirect
141. #16839652C22semidirect
142. #16839650C22semidirect
143. #16839650C22semidirect
144. #16839650C22semidirect
145. #16839650C22semidirect
146. #16839650C22semidirect
147. #16839647C22semidirect
148. #16839644C22semidirect
149. #16839642C22semidirect
154. #16839640C22semidirect
155. #16839640C22semidirect
157. #16839638C22semidirect
158. #16839638C22semidirect
159. #16839636C22semidirect
160. #16839635C22semidirect
161. #16839635C22semidirect
162. #16839635C22semidirect
163. #16839635C22semidirect
164. #16839634C22semidirect
165. #16839625C22semidirect
166. #16839625C22semidirect
167. #16839624C22semidirect
168. #16839624C22semidirect
169. #16839621C22semidirect
170. #16839618C22semidirect
171. #16839617C22semidirect
172. #16839613C22semidirect
173. #16839607C22semidirect
174. C24×C4×C61C22semidirect
179. C2×#120×C61C22semidirect
183. C61×#386C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#380C22semidirect
187. C61×#380C22semidirect
188. C61×#380C22semidirect
246. C4×C22⋊D61D4semidirect
897. #2847D61semidirect
941. C24×C4C2×D61semidirect
977. C2×#120C2×D61semidirect
1076. #386C2×D61semidirect
1077. #386C2×D61semidirect
1078. #386C2×D61semidirect
1090. #380C2×D61semidirect
1091. #380C2×D61semidirect
1092. #380C2×D61semidirect
1097. C61#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#168403442
C2×#168402732
#214541112
#214524922
#214524472
#214524212
#214524082
#214522412
#214521802
#214521752
#214521652
#214521532
#214521472
#214521452
#214521402
#214520712
#214520412
#214520362
#214520312
#214517042
#214516602
#214515022
#214514432
#214514122
#214514032
#214507882
#214507072
#214491612
#214491362
#214484612
C61×#28472
#3672461