Finite Group Databasebeta

← #29845357

Subgroups — #29845357

Order 15616.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840406C211yesmaximal, characteristic
2#21448987C211yesmaximal, characteristic, complemented
3#21448971C211yesmaximal, characteristic, complemented
4#21448962C211yesmaximal, characteristic, complemented
5#21448958C211yesmaximal, characteristic, complemented
6#21448928C211yesmaximal, characteristic, complemented
7#21448867C211yesmaximal, characteristic, complemented
8#21448860C211yesmaximal, characteristic, complemented
9#21448817C211yesmaximal, characteristic, complemented
10#21448798C211yesmaximal, characteristic, complemented
11#21448757C211yesmaximal, characteristic, complemented
12#21448756C211yesmaximal, characteristic, complemented
13#21448670C211yesmaximal, characteristic, complemented
14#21448664C211yesmaximal, characteristic, complemented
15#21448645C211yesmaximal, characteristic, complemented
16D4×C22⋊Dic61C211yesmaximal, characteristic, complemented
17#21448628C211yesmaximal, characteristic, complemented
18#21448610C211yesmaximal, characteristic, complemented
19#21448585C211yesmaximal, characteristic, complemented
20#21448572C211yesmaximal, characteristic, complemented
21#21448521C211yesmaximal, characteristic, complemented
22#21448493C211yesmaximal, characteristic, complemented
23#21448477C211yesmaximal, characteristic, complemented
24#21448474C211yesmaximal, characteristic, complemented
25#21448459C211yesmaximal, characteristic, complemented
26#21448415C211yesmaximal, characteristic, complemented
27#21448406C211yesmaximal, characteristic, complemented
28#21448329C211yesmaximal, characteristic, complemented
29#21448259C211yesmaximal, characteristic, complemented
30C2×#16839656C211yesmaximal, characteristic, complemented
31C61×#2308C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33#16840406C4116yescomplemented
34C2×#14519764C2211yescharacteristic
35C2×#14519758C2211yescharacteristic
36C2×#14519758C2211yescharacteristic
37C2×#14519756C2211yescharacteristic
38C2×#14519749C2211yescharacteristic
39C2×#14519749C2211yescharacteristic
40C2×#14519748C2211yescharacteristic
41C2×#14519746C2211yescharacteristic
42C2×#14519746C2211yescharacteristic
43C2×D4×Dic61C2211yescharacteristic
44C2×D4×Dic61C2211yescharacteristic
45C2×D4×Dic61C2211yescharacteristic
46C2×C4×C22⋊D61C2211yescharacteristic
47C2×C4×C22⋊D61C2211yescharacteristic, complemented
48C2×C4×C22⋊D61C2211yescharacteristic, complemented
49C2×#14519737C2211yescharacteristic, complemented
50C2×#14519737C2211yescharacteristic, complemented
51C2×#14519733C2211yescharacteristic, complemented
52C2×#14519733C2211yescharacteristic, complemented
53C22×#11758196C2211yescharacteristic, complemented
54C22×C22⋊Dic61C2211yescharacteristic
55C22×C22⋊Dic61C2211yescharacteristic
56C22×C22⋊Dic61C2211yescharacteristic
57C22×C22⋊Dic61C2211yescharacteristic
58C22×C4×Dic61C2211yescharacteristic, complemented
59#16839666C2211yescharacteristic, complemented
60#16839666C2211yescharacteristic, complemented
61#16839666C2211yescharacteristic, complemented
62#16839666C2211yescharacteristic, complemented
63#16839665C2211yescharacteristic
64#16839665C2211yescharacteristic
65#16839662C2211yescharacteristic
66#16839662C2211yescharacteristic
67#16839662C2211yescharacteristic, complemented
68#16839662C2211yescharacteristic, complemented
69#16839662C2211yescharacteristic, complemented
70#16839662C2211yescharacteristic, complemented
71#16839659C2211yescharacteristic, complemented
72#16839659C2211yescharacteristic, complemented
73#16839659C2211yescharacteristic, complemented
74#16839659C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic
76#16839656C2211yescharacteristic
77#16839656C2211yescharacteristic
78#16839656C2211yescharacteristic
79#16839656C2211yescharacteristic
80#16839656C2211yescharacteristic
81#16839656C2211yescharacteristic
82#16839656C2211yescharacteristic
83#16839656C2211yescharacteristic, complemented
84#16839656C2211yescharacteristic, complemented
85#16839656C2211yescharacteristic, complemented
86#16839656C2211yescharacteristic, complemented
87#16839656C2211yescharacteristic, complemented
88#16839656C2211yescharacteristic, complemented
89#16839656C2211yescharacteristic, complemented
90#16839656C2211yescharacteristic, complemented
91#16839654C2211yescharacteristic, complemented
92#16839654C2211yescharacteristic, complemented
93#16839650C2211yescharacteristic
94#16839650C2211yescharacteristic
95#16839650C2211yescharacteristic
96#16839650C2211yescharacteristic
97#16839650C2211yescharacteristic, complemented
98#16839650C2211yescharacteristic, complemented
99#16839650C2211yescharacteristic, complemented
100#16839650C2211yescharacteristic, complemented
101#16839650C2211yescharacteristic, complemented
102#16839650C2211yescharacteristic, complemented
103#16839650C2211yescharacteristic, complemented
104#16839650C2211yescharacteristic, complemented
105#16839649C2211yescharacteristic, complemented
106#16839649C2211yescharacteristic, complemented
107#16839647C2211yescharacteristic, complemented
108#16839647C2211yescharacteristic, complemented
109#16839645C2211yescharacteristic, complemented
110#16839645C2211yescharacteristic, complemented
111#16839644C2211yescharacteristic, complemented
112#16839644C2211yescharacteristic, complemented
113#16839644C2211yescharacteristic, complemented
114#16839644C2211yescharacteristic, complemented
115#16839642C2211yescharacteristic
116#16839642C2211yescharacteristic
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839641C2211yescharacteristic, complemented
120#16839641C2211yescharacteristic, complemented
121#16839639C2211yescharacteristic, complemented
122#16839639C2211yescharacteristic, complemented
123#16839638C2211yescharacteristic
124#16839638C2211yescharacteristic
125#16839638C2211yescharacteristic, complemented
126#16839638C2211yescharacteristic, complemented
127#16839638C2211yescharacteristic, complemented
128#16839638C2211yescharacteristic, complemented
129#16839635C2211yescharacteristic, complemented
130#16839635C2211yescharacteristic, complemented
131#16839635C2211yescharacteristic, complemented
132#16839635C2211yescharacteristic, complemented
133#16839634C2211yescharacteristic, complemented
134#16839634C2211yescharacteristic, complemented
135#16839634C2211yescharacteristic, complemented
136#16839634C2211yescharacteristic, complemented
137#16839629C2211yescharacteristic, complemented
138#16839624C2211yescharacteristic, complemented
139#16839623C2211yescharacteristic, complemented
140#16839623C2211yescharacteristic, complemented
141#16839622C2211yescharacteristic
142#16839621C2211yescharacteristic, complemented
143#16839621C2211yescharacteristic, complemented
144#16839620C2211yescharacteristic, complemented
145#16839620C2211yescharacteristic, complemented
146#16839620C2211yescharacteristic, complemented
147#16839620C2211yescharacteristic, complemented
148#16839618C2211yescharacteristic
149#16839618C2211yescharacteristic
150#16839613C2211yescharacteristic, complemented
151#16839613C2211yescharacteristic, complemented
152#16839613C2211yescharacteristic, complemented
153C22⋊C4×Dic61C2211yescharacteristic, complemented
154C22⋊C4×Dic61C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic, complemented
156C22⋊C4×Dic61C2211yescharacteristic, complemented
157C22⋊C4×Dic61C2211yescharacteristic, complemented
158C22⋊C4×Dic61C2211yescharacteristic, complemented
159C22⋊C4×Dic61C2211yescharacteristic, complemented
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C4×C22⋊Dic61C2211yescharacteristic
162C4×C22⋊Dic61C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic, complemented
164C4×C22⋊Dic61C2211yescharacteristic, complemented
165C4×C22⋊Dic61C2211yescharacteristic, complemented
166#16839609C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839607C2211yescharacteristic, complemented
169#16839607C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172#95×D61C2211yescharacteristic, complemented
173C23×D4×C61C2211yescharacteristic
174C22×C22⋊C4×C61C2211yescharacteristic
175C22×C22⋊C4×C61C2211yescharacteristic
176C61×#386C2211yescharacteristic
177C61×#386C2211yescharacteristic
178C61×#386C2211yescharacteristic
179C61×#386C2211yescharacteristic
180C61×#386C2211yescharacteristic
181C61×#386C2211yescharacteristic
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#381C2211yescharacteristic
185C61×#381C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C61×#379C2211yescharacteristic
188C2×#11758224—42no—
189C2×#11758224—42no—
190C2×#11758224C2×C418yescomplemented
191C22×Dic122C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519764C2×C418yescomplemented
209#14519758C2×C418yescomplemented
210#14519758C2×C418yescomplemented
211#14519756C2×C418yescomplemented
212#14519749C2×C418yescomplemented
213#14519749C2×C418yescomplemented
214#14519748C2×C418yescomplemented
215#14519746C2×C418yescomplemented
216#14519746C2×C418yescomplemented
217D4×Dic61—42no—
218D4×Dic61—42no—
219D4×Dic61C2×C418yescomplemented
220C4×C22⋊D61—42no—
221C4×C22⋊D61—42no—
222C4×C22⋊D61C2×C418yescomplemented
223#14519737—42no—
224#14519737—42no—
225#14519733—42no—
226#14519733—42no—
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×#11758196—42no—
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×#11758196C2311yescharacteristic
236C2×#11758196C2311yescharacteristic
237C2×#11758196C2311yescharacteristic
238C2×#11758196C2311yescharacteristic
239C2×#11758196C2311yescharacteristic
240C2×#11758196C2311yescharacteristic
241C2×#11758196C2311yescharacteristic
242C2×#11758196C2311yescharacteristic
243C2×#11758196C2311yescharacteristic
244C2×#11758196C2311yescharacteristic
245C2×#11758196C2311yescharacteristic
246C2×#11758196C2311yescharacteristic
247C2×#11758196C2311yescharacteristic
248C2×C22⋊Dic61—42no—
249C2×C22⋊Dic61—42no—
250C2×C22⋊Dic61C2×C418yescomplemented
251C2×C22⋊Dic61C2×C418yescomplemented
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C22⋊Dic61C2311yescharacteristic
258C2×C22⋊Dic61C2311yescharacteristic
259C2×C22⋊Dic61C2311yescharacteristic
260C2×C22⋊Dic61C2311yescharacteristic
261C2×C22⋊Dic61C2311yescharacteristic
262C2×C22⋊Dic61C2311yescharacteristic
263C2×C22⋊Dic61C2311yescharacteristic
264C2×C22⋊Dic61C2311yescharacteristic
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
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×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C2×#11758198C2311yescharacteristic
286C2×C4×Dic61—42no—
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294C2×C4×Dic61C2311yescharacteristic
295C2×C4×Dic61C2311yescharacteristic
296C2×C4×Dic61C2311yescharacteristic
297C2×C4×Dic61C2311yescharacteristic
298C2×C4×Dic61C2311yescharacteristic
299C2×C4×Dic61C2311yescharacteristic
300C2×C4×Dic61C2311yescharacteristic
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336C25×C61C2311yescharacteristic
337C25×C61C2311yescharacteristic
338C22×D4×C61—42no—
339C22×D4×C61—42no—
340C22×D4×C61C2×C418yescomplemented
341C22×D4×C61C2311yescharacteristic
342C22×D4×C61C2311yescharacteristic
343C22×D4×C61C2311yescharacteristic
344C22×D4×C61C2311yescharacteristic
345C23×C4×C61C2311yescharacteristic
346C23×C4×C61C2311yescharacteristic
347C23×C4×C61C2311yescharacteristic
348C23×C4×C61C2311yescharacteristic
349C23×C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61—42no—
351C2×C22⋊C4×C61—42no—
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2311yescharacteristic
354C2×C22⋊C4×C61C2311yescharacteristic
355C2×C22⋊C4×C61C2311yescharacteristic
356C2×C22⋊C4×C61C2311yescharacteristic
357C2×C22⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370#95×C61C2311yescharacteristic
371#95×C61C2311yescharacteristic
372#95×C61C2311yescharacteristic
373#95×C61C2311yescharacteristic
374#95×C61C2311yescharacteristic
375#95×C61C2311yescharacteristic
376C24×C61—22no—
377C24×C61—22no—
378C24×C61—41no—
379C24×C61—41no—
380C24×C61—41no—
381C24×C61—41no—
382C24×C61—41no—
383C24×C61—41no—
384C24×C61—41no—
385C24×C61—41no—
386C24×C61—41no—
387C24×C61—41no—
388C24×C61C22×C414yes—
389C24×C61C22×C414yes—
390C24×C61C2411yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C24×C61C2411yescharacteristic
395C23×D61C2411yescharacteristic
396C2×D4×C61—22no—
397C2×D4×C61—22no—
398C2×D4×C61—22no—
399C2×D4×C61—22no—
400C2×D4×C61—41no—
401C2×D4×C61—41no—
402C2×D4×C61—41no—
403C2×D4×C61—41no—
404C2×D4×C61—416no—
405C2×D4×C61C22×C414yes—
406C2×D4×C61C22×C414yes—
407C2×D4×C61C22×C414yes—
408C2×D4×C61C22×C414yes—
409C22×C4×C61—22no—
410C22×C4×C61—22no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61—41no—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61—41no—
421C22×C4×C61—41no—
422C22×C4×C61—41no—
423C22×C4×C61C22×C414yes—
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C2×C22⋊D61—22no—
435C2×C22⋊D61—22no—
436C2×C22⋊D61—41no—
437C2×C22⋊D61—41no—
438C2×C22⋊D61—41no—
439C2×C22⋊D61—41no—
440C2×C22⋊D61—41no—
441C2×C22⋊D61—41no—
442C2×C22⋊D61—41no—
443C2×C22⋊D61—41no—
444C2×C22⋊D61C22×C414yes—
445C2×C22⋊D61C22×C414yes—
446C2×C22⋊D61C22×C414yes—
447C2×C22⋊D61C22×C414yes—
448C2×C22⋊D61C22×C414yes—
449C22×Dic61—22no—
450C22×Dic61—22no—
451C22×Dic61—22no—
452C22×Dic61—22no—
453C22×Dic61—22no—
454C22×Dic61—22no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61—41no—
460C22×Dic61—41no—
461C22×Dic61—41no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61—41no—
467C22×Dic61—41no—
468C22×Dic61—41no—
469C22×Dic61C22×C414yes—
470C22×Dic61C22×C414yes—
471C22×Dic61C22×C414yes—
472C22×Dic61C22×C414yes—
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484C22×Dic61C2411yescharacteristic
485C22×Dic61C2411yescharacteristic
486C22×Dic61C2411yescharacteristic
487C22×Dic61C2411yescharacteristic
488#11758224—416no—
489C2×C4×D61—22no—
490C2×C4×D61—41no—
491C2×C4×D61—41no—
492C2×C4×D61—41no—
493C2×C4×D61—41no—
494C2×C4×D61—41no—
495C2×C4×D61—41no—
496C2×C4×D61—41no—
497C2×C4×D61C22×C414yes—
498C2×Dic122—41no—
499C2×Dic122—41no—
500C2×Dic122C22×C414yes—
501C22⋊C4×C61—22no—
502C22⋊C4×C61—22no—
503C22⋊C4×C61—41no—
504C22⋊C4×C61—41no—
505C22⋊C4×C61—41no—
506C22⋊C4×C61—41no—
507C22⋊C4×C61—41no—
508C22⋊C4×C61—41no—
509C22⋊C4×C61—41no—
510C22⋊C4×C61—41no—
511C22⋊C4×C61—41no—
512C22⋊C4×C61—41no—
513C22⋊C4×C61—41no—
514C22⋊C4×C61—41no—
515C22⋊C4×C61—41no—
516C22⋊C4×C61—41no—
517C22⋊Dic61—22no—
518C22⋊Dic61—22no—
519C22⋊Dic61—22no—
520C22⋊Dic61—22no—
521C22⋊Dic61—22no—
522C22⋊Dic61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C22⋊Dic61—41no—
527C22⋊Dic61—41no—
528C22⋊Dic61—41no—
529C22⋊Dic61—41no—
530C22⋊Dic61—41no—
531C22⋊Dic61—41no—
532C22⋊Dic61—41no—
533C22⋊Dic61C22×C414yes—
534C22⋊Dic61C22×C414yes—
535C22⋊Dic61C22×C414yes—
536C22⋊Dic61C22×C414yes—
537C22⋊Dic61C22×C414yes—
538C22⋊Dic61C22×C414yes—
539C22⋊Dic61C22×C414yes—
540C22⋊Dic61C22×C414yes—
541C22⋊Dic61C22×C414yes—
542C22⋊Dic61C22×C414yes—
543C22⋊Dic61C22×C414yes—
544#11758198—41no—
545#11758198—41no—
546#11758198—41no—
547#11758198—41no—
548#11758198—41no—
549#11758198—41no—
550#11758198C22×C414yes—
551C4⋊Dic61—41no—
552C4⋊Dic61—41no—
553C4⋊Dic61C22×C414yes—
554#11758196—22no—
555#11758196—41no—
556#11758196—41no—
557#11758196—41no—
558#11758196—41no—
559#11758196—41no—
560#11758196—41no—
561#11758196—41no—
562#11758196—41no—
563#11758196—41no—
564#11758196—41no—
565#11758196—41no—
566#11758196—41no—
567#11758196—41no—
568#11758196C22×C414yes—
569#11758196C22×C414yes—
570#11758196C22×C414yes—
571C4×Dic61—22no—
572C4×Dic61—22no—
573C4×Dic61—41no—
574C4×Dic61—41no—
575C4×Dic61—41no—
576C4×Dic61—41no—
577C4×Dic61—41no—
578C4×Dic61—41no—
579C4×Dic61—41no—
580C4×Dic61—41no—
581C4×Dic61—41no—
582C4×Dic61—41no—
583C4×Dic61—41no—
584C4×Dic61—41no—
585C4×Dic61—41no—
586C4×Dic61—41no—
587C4×Dic61C22×C414yes—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—21no—
593C23×C61—21no—
594C23×C61—21no—
595C23×C61—21no—
596C23×C61—21no—
597C23×C61—21no—
598C23×C61—21no—
599C23×C61—21no—
600C23×C61—21no—
601C23×C61—21no—
602C23×C61—21no—
603C23×C61—21no—
604C23×C61—21no—
605C23×C61—21no—
606C23×C61—21no—
607C23×C61—21no—
608C23×C61—21no—
609C23×C61—21no—
610C23×C61—21no—
611C23×C61—21no—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—28no—
617C23×C61—44no—
618C23×C61—44no—
619C23×C61—44no—
620C23×C61—44no—
621C23×C61—44no—
622C23×C61—82no—
623C23×C61—82no—
624C23×C61—82no—
625C23×C61—82no—
626C23×C61—82no—
627C23×C61—82no—
628C23×C61—82no—
629C23×C61—82no—
630C23×C61C23×C412yes—
631C23×C61C23×C412yes—
632C23×C61C23×C412yes—
633C23×C61C23×C412yes—
634C23×C61C23×C412yes—
635C23×C61H(5,𝔽2)12yes—
636C23×C61H(5,𝔽2)12yes—
637C23×C61C2511yescharacteristic
638C22×D61—21no—
639C22×D61—21no—
640C22×D61—21no—
641C22×D61—21no—
642C22×D61—21no—
643C22×D61—21no—
644C22×D61C23×C412yes—
645D4×C61—28no—
646D4×C61—28no—
647D4×C61—44no—
648D4×C61—44no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—21no—
656C2×C4×C61—21no—
657C2×C4×C61—21no—
658C2×C4×C61—21no—
659C2×C4×C61—21no—
660C2×C4×C61—21no—
661C2×C4×C61—21no—
662C2×C4×C61—21no—
663C2×C4×C61—21no—
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—44no—
678C2×C4×C61—44no—
679C2×C4×C61—82no—
680C2×C4×C61—82no—
681C2×C4×C61—82no—
682C2×C4×C61C23×C412yes—
683C2×C4×C61C23×C412yes—
684C22⋊D61—28no—
685C22⋊D61—44no—
686C22⋊D61—44no—
687C22⋊D61—44no—
688C22⋊D61—44no—
689C2×Dic61—28no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—21no—
698C2×Dic61—21no—
699C2×Dic61—21no—
700C2×Dic61—21no—
701C2×Dic61—21no—
702C2×Dic61—21no—
703C2×Dic61—21no—
704C2×Dic61—21no—
705C2×Dic61—21no—
706C2×Dic61—21no—
707C2×Dic61—21no—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—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—44no—
728C2×Dic61—44no—
729C2×Dic61—44no—
730C2×Dic61—44no—
731C2×Dic61—82no—
732C2×Dic61—82no—
733C2×Dic61—82no—
734C2×Dic61C23×C412yes—
735C2×Dic61C23×C412yes—
736C2×Dic61C23×C412yes—
737C2×Dic61C23×C412yes—
738C2×Dic61C23×C412yes—
739C2×Dic61C23×C412yes—
740C2×Dic61C23×C412yes—
741C2×Dic61H(5,𝔽2)12yes—
742C4×D61—44no—
743C4×D61—82no—
744C4×D61—82no—
745Dic122—44no—
746#34492—611nomaximal, Sylow
747C22×C61—22no—
748C22×C61—22no—
749C22×C61—22no—
750C22×C61—22no—
751C22×C61—22no—
752C22×C61—22no—
753C22×C61—22no—
754C22×C61—22no—
755C22×C61—22no—
756C22×C61—22no—
757C22×C61—22no—
758C22×C61—22no—
759C22×C61—22no—
760C22×C61—22no—
761C22×C61—22no—
762C22×C61—22no—
763C22×C61—22no—
764C22×C61—22no—
765C22×C61—41no—
766C22×C61—41no—
767C22×C61—41no—
768C22×C61—41no—
769C22×C61—41no—
770C22×C61—41no—
771C22×C61—41no—
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—88no—
782C22×C61—88no—
783C22×C61#51814yes—
784C22×C61C24×C411yescharacteristic
785C22×C61C2×H(5,𝔽2)11yescharacteristic
786C22×C61C2×H(5,𝔽2)11yescharacteristic
787C22×C61C2×H(5,𝔽2)11yescharacteristic
788C22×C61#58511yescharacteristic
789C22×C61#58511yescharacteristic
790C22×C61#58511yescharacteristic
791C2×D61—22no—
792C2×D61—22no—
793C2×D61—22no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C2×D61—41no—
798C4×C61—22no—
799C4×C61—22no—
800C4×C61—41no—
801C4×C61—41no—
802C4×C61—41no—
803C4×C61—41no—
804C4×C61—41no—
805C4×C61—41no—
806C4×C61—41no—
807C4×C61—41no—
808Dic61—22no—
809Dic61—22no—
810Dic61—22no—
811Dic61—22no—
812Dic61—22no—
813Dic61—22no—
814Dic61—22no—
815Dic61—22no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822Dic61—41no—
823C2×#546—611no—
824#2378—611no—
825#2377—611no—
826#2376—611no—
827#2375—611no—
828#2372—611no—
829#2364—611no—
830#2363—611no—
831#2359—611no—
832#2358—611no—
833#2353—611no—
834#2353—611no—
835#2342—611no—
836#2342—611no—
837#2339—611no—
838D4×C22⋊C4—611no—
839#2337—611no—
840#2335—611no—
841#2333—611no—
842#2332—611no—
843#2325—611no—
844#2322—611no—
845#2321—611no—
846#2321—611no—
847#2319—611no—
848#2312—611no—
849#2311—611no—
850#2308D6111yescharacteristic, complemented
851C4×#121—611no—
852#2290—611no—
853C2×#388—611no—
854C2×C61—24no—
855C2×C61—42no—
856C2×C61—42no—
857C2×C61—42no—
858C2×C61—42no—
859C2×C61C2×#51811yescharacteristic
860C2×C61#342811yescharacteristic
861C2×C61C4×H(5,𝔽2)11yescharacteristic
862C2×C61#353411yescharacteristic
863C2×C61#354211yescharacteristic
864C2×C61#354511yescharacteristic
865C2×C61#356011yescharacteristic
866D61—42no—
867C22×#41—611no—
868C23×D4C2×D6111yescharacteristic
869#546—6116no—
870C2×#124—611no—
871C2×#123—611no—
872C2×#123—611no—
873C2×C22⋊Q8—611no—
874C2×#121—611no—
875C2×#121—611no—
876C2×#121—611no—
877C2×#120—611no—
878C2×#120—611no—
879C2×C4×D4—611no—
880C2×C4×D4—611no—
881C2×C4×D4—611no—
882C2×C4×D4—611no—
883C2×C4×D4—611no—
884C2×C4×D4—611no—
885C2×C4×D4—611no—
886C2×C4×D4—611no—
887C2×#117—611no—
888C2×#117—611no—
889C22×C4⋊C4—611no—
890C22×C22⋊C4—611no—
891C22×C22⋊C4—611no—
892C22×C22⋊C4—611no—
893C22×C22⋊C4—611no—
894C22×C22⋊C4C2×D6111yescharacteristic
895C22×C22⋊C4C2×D6111yescharacteristic
896C22×C42—611no—
897#391—611no—
898#391—611no—
899#391—611no—
900#391—611no—
901#390—611no—
902#390—611no—
903#390—611no—
904#390—611no—
905#390—611no—
906#390—611no—
907#390—611no—
908#390—611no—
909#389—611no—
910#389—611no—
911#389—611no—
912#389—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#388—611no—
930#388—611no—
931#388—611no—
932#388—611no—
933#388—611no—
934#388—611no—
935#388—611no—
936#388—611no—
937#388—611no—
938#388—611no—
939#388—611no—
940#388—611no—
941#388—611no—
942#388—611no—
943#387—611no—
944#387—611no—
945#387—611no—
946#387—611no—
947#387—611no—
948#387—611no—
949#387—611no—
950#387—611no—
951#387—611no—
952#387—611no—
953#386—611no—
954#386—611no—
955#386—611no—
956#386—611no—
957#386—611no—
958#386—611no—
959#386—611no—
960#386—611no—
961#386—611no—
962#386—611no—
963#386—611no—
964#386—611no—
965#386—611no—
966#386—611no—
967#386C2×D6111yescharacteristic
968#386C2×D6111yescharacteristic
969#386C2×D6111yescharacteristic
970#386C2×D6111yescharacteristic
971#386C2×D6111yescharacteristic
972#386C2×D6111yescharacteristic
973#386C2×D6111yescharacteristic
974#386C2×D6111yescharacteristic
975#385—611no—
976#385—611no—
977#385—611no—
978#385—611no—
979#385—611no—
980#385—611no—
981#385—611no—
982#385—611no—
983#383—611no—
984#381—611no—
985#381—611no—
986#381—611no—
987#381C2×D6111yescharacteristic
988#381C2×D6111yescharacteristic
989#380—611no—
990#380—611no—
991#380—611no—
992#380—611no—
993#380—611no—
994#380—611no—
995#380—611no—
996#379—611no—
997#379—611no—
998#379C2×D6111yescharacteristic
999#379C2×D6111yescharacteristic
1000C4×C4⋊C4—611no—
1001C4×C4⋊C4—611no—
1002C4×C4⋊C4—611no—
1003C4×C22⋊C4—611no—
1004C4×C22⋊C4—611no—
1005C4×C22⋊C4—611no—
1006C4×C22⋊C4—611no—
1007C4×C22⋊C4—611no—
1008C4×C22⋊C4—611no—
1009C4×C22⋊C4—611no—
1010C4×C22⋊C4—611no—
1011C4×C22⋊C4—611no—
1012C4×C22⋊C4—611no—
1013C4×C22⋊C4—611no—
1014C4×C22⋊C4—611no—
1015C4×C22⋊C4—611no—
1016C4×C22⋊C4—611no—
1017C4×C22⋊C4—611no—
1018#376—611no—
1019#376—611no—
1020C2×#95—611no—
1021C2×#95—611no—
1022C2×#95—611no—
1023C61#3449211yescharacteristic, complemented, Sylow
1024C25C22×D6111yescharacteristic
1025C25C22×D6111yescharacteristic
1026C2×#41—618no—
1027C2×#41—2442no—
1028C2×#41—2442no—
1029C22×Q8—611no—
1030C22×D4—42no—
1031C22×D4—42no—
1032C22×D4—611no—
1033C22×D4—611no—
1034C22×D4—611no—
1035C22×D4—611no—
1036C22×D4—611no—
1037C22×D4C4×D6118yescomplemented
1038C22×D4C22×D6111yescharacteristic
1039C22×D4C22×D6111yescharacteristic
1040C22×D4C22×D6111yescharacteristic
1041C22×D4C22×D6111yescharacteristic
1042C23×C4—611no—
1043C23×C4—611no—
1044C23×C4—611no—
1045C23×C4—611no—
1046C23×C4—611no—
1047C23×C4—611no—
1048C23×C4—611no—
1049C23×C4—611no—
1050C23×C4—611no—
1051C23×C4—611no—
1052C23×C4—611no—
1053C23×C4C22×D6111yescharacteristic
1054C23×C4C22×D6111yescharacteristic
1055C23×C4C22×D6111yescharacteristic
1056C23×C4C22×D6111yescharacteristic
1057C23×C4C22×D6111yescharacteristic
1058#124—618no—
1059#123—618no—
1060#123—618no—
1061C22⋊Q8—618no—
1062#121—618no—
1063#121—618no—
1064#121—618no—
1065#120—618no—
1066#120—618no—
1067C4×D4—618no—
1068C4×D4—618no—
1069C4×D4—2442no—
1070C4×D4—2442no—
1071C4×D4—2442no—
1072C4×D4—2442no—
1073C4×D4—2442no—
1074C4×D4—2442no—
1075#117—2442no—
1076#117—2442no—
1077C2×C4⋊C4—611no—
1078C2×C4⋊C4—611no—
1079C2×C4⋊C4—611no—
1080C2×C4⋊C4—611no—
1081C2×C4⋊C4—611no—
1082C2×C4⋊C4—611no—
1083C2×C4⋊C4—611no—
1084C2×C4⋊C4—611no—
1085C2×C4⋊C4—611no—
1086C2×C4⋊C4—611no—
1087C2×C4⋊C4—611no—
1088C2×C4⋊C4—611no—
1089C2×C4⋊C4—611no—
1090C2×C4⋊C4—611no—
1091C2×C4⋊C4—611no—
1092C2×C4⋊C4—611no—
1093C2×C4⋊C4—611no—
1094C2×C4⋊C4—611no—
1095C2×C4⋊C4—611no—
1096C2×C4⋊C4—611no—
1097C2×C4⋊C4—2442no—
1098C2×C22⋊C4—42no—
1099C2×C22⋊C4—42no—
1100C2×C22⋊C4—618no—
1101C2×C22⋊C4—618no—
1102C2×C22⋊C4—611no—
1103C2×C22⋊C4—611no—
1104C2×C22⋊C4—611no—
1105C2×C22⋊C4—611no—
1106C2×C22⋊C4—611no—
1107C2×C22⋊C4—611no—
1108C2×C22⋊C4—611no—
1109C2×C22⋊C4—611no—
1110C2×C22⋊C4—611no—
1111C2×C22⋊C4—611no—
1112C2×C22⋊C4—611no—
1113C2×C22⋊C4—611no—
1114C2×C22⋊C4—611no—
1115C2×C22⋊C4—611no—
1116C2×C22⋊C4—611no—
1117C2×C22⋊C4—611no—
1118C2×C22⋊C4—611no—
1119C2×C22⋊C4—611no—
1120C2×C22⋊C4—611no—
1121C2×C22⋊C4—611no—
1122C2×C22⋊C4—611no—
1123C2×C22⋊C4—611no—
1124C2×C22⋊C4—611no—
1125C2×C22⋊C4—611no—
1126C2×C22⋊C4—611no—
1127C2×C22⋊C4—611no—
1128C2×C22⋊C4—611no—
1129C2×C22⋊C4—611no—
1130C2×C22⋊C4—611no—
1131C2×C22⋊C4—611no—
1132C2×C22⋊C4—611no—
1133C2×C22⋊C4—611no—
1134C2×C22⋊C4—611no—
1135C2×C22⋊C4—611no—
1136C2×C22⋊C4—2442no—
1137C2×C22⋊C4—2442no—
1138C2×C22⋊C4C22×D6111yescharacteristic
1139C2×C22⋊C4C22×D6111yescharacteristic
1140C2×C22⋊C4C22×D6111yescharacteristic
1141C2×C22⋊C4C22×D6111yescharacteristic
1142C2×C22⋊C4C22×D6111yescharacteristic
1143C2×C22⋊C4C22×D6111yescharacteristic
1144C2×C22⋊C4C22×D6111yescharacteristic
1145C2×C22⋊C4C22×D6111yescharacteristic
1146C2×C22⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4C22×D6111yescharacteristic
1148C2×C22⋊C4C22×D6111yescharacteristic
1149C2×C22⋊C4C22×D6111yescharacteristic
1150C2×C22⋊C4C22×D6111yescharacteristic
1151C2×C22⋊C4C22×D6111yescharacteristic
1152C2×C22⋊C4C22×D6111yescharacteristic
1153C2×C22⋊C4C22×D6111yescharacteristic
1154C2×C42—611no—
1155C2×C42—611no—
1156C2×C42—611no—
1157C2×C42—611no—
1158C2×C42—611no—
1159C2×C42—611no—
1160C2×C42—611no—
1161C2×C42—611no—
1162C2×C42—611no—
1163C2×C42—611no—
1164C2×C42—611no—
1165C2×C42—611no—
1166C2×C42—611no—
1167C2×C42—611no—
1168C2×C42—611no—
1169C2×C42—611no—
1170C2×C42—611no—
1171C2×C42—2442no—
1172#95—611no—
1173#95—611no—
1174#95—611no—
1175#95—611no—
1176#95—611no—
1177#95—611no—
1178#95—611no—
1179#95—611no—
1180#95—611no—
1181#95—611no—
1182#95—611no—
1183#95—611no—
1184#95—611no—
1185#95—611no—
1186#95—611no—
1187#95—611no—
1188#95—611no—
1189#95—611no—
1190#95—611no—
1191#95—611no—
1192#95—611no—
1193#95—611no—
1194#95—611no—
1195#95—611no—
1196#95—611no—
1197#95—611no—
1198#95—611no—
1199#95—611no—
1200#95—611no—
1201#95—611no—
1202#95—611no—
1203#95—611no—
1204#95C22×D6111yescharacteristic
1205#95C22×D6111yescharacteristic
1206#95C22×D6111yescharacteristic
1207#95C22×D6111yescharacteristic
1208#95C22×D6111yescharacteristic
1209#95C22×D6111yescharacteristic
1210#95C22×D6111yescharacteristic
1211#95C22×D6111yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—41no—
1215C24—41no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—611no—
1225C24C2×C4×D6114yes—
1226C24C2×C4×D6114yes—
1227C24C23×D6111yescharacteristic
1228C24C23×D6111yescharacteristic
1229C24C23×D6111yescharacteristic
1230C24C23×D6111yescharacteristic
1231C24C23×D6111yescharacteristic
1232#41—24416no—
1233C2×Q8—614no—
1234C2×Q8—2441no—
1235C2×Q8—2441no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—416no—
1245C2×D4—614no—
1246C2×D4—614no—
1247C2×D4—614no—
1248C2×D4—614no—
1249C2×D4—614no—
1250C2×D4—1222no—
1251C2×D4—1222no—
1252C2×D4—2441no—
1253C2×D4—2441no—
1254C2×D4—2441no—
1255C2×D4—2441no—
1256C2×D4—2441no—
1257C2×D4—2441no—
1258C2×D4—2441no—
1259C2×D4—2441no—
1260C2×D4C2×C4×D6114yes—
1261C2×D4C2×C4×D6114yes—
1262C2×D4C2×C4×D6114yes—
1263C2×D4C2×C4×D6114yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—614no—
1279C22×C4—611no—
1280C22×C4—611no—
1281C22×C4—611no—
1282C22×C4—611no—
1283C22×C4—611no—
1284C22×C4—611no—
1285C22×C4—611no—
1286C22×C4—611no—
1287C22×C4—614no—
1288C22×C4—614no—
1289C22×C4—614no—
1290C22×C4—614no—
1291C22×C4—611no—
1292C22×C4—611no—
1293C22×C4—611no—
1294C22×C4—611no—
1295C22×C4—611no—
1296C22×C4—611no—
1297C22×C4—611no—
1298C22×C4—1222no—
1299C22×C4—1222no—
1300C22×C4—1222no—
1301C22×C4—1222no—
1302C22×C4—1222no—
1303C22×C4—1222no—
1304C22×C4—1222no—
1305C22×C4—2441no—
1306C22×C4—2441no—
1307C22×C4—2441no—
1308C22×C4—2441no—
1309C22×C4—2441no—
1310C22×C4—2441no—
1311C22×C4—2441no—
1312C22×C4—2441no—
1313C22×C4—2441no—
1314C22×C4—2441no—
1315C22×C4—2441no—
1316C22×C4—2441no—
1317C22×C4—2441no—
1318C22×C4—2441no—
1319C22×C4—2441no—
1320C22×C4—2441no—
1321C22×C4—2441no—
1322C22×C4—2441no—
1323C22×C4—2441no—
1324C22×C4—2441no—
1325C22×C4—2441no—
1326C22×C4C2×C4×D6114yes—
1327C22×C4C23×D6111yescharacteristic
1328C22×C4C23×D6111yescharacteristic
1329C22×C4C23×D6111yescharacteristic
1330C22×C4C23×D6111yescharacteristic
1331C22×C4C23×D6111yescharacteristic
1332C22×C4C23×D6111yescharacteristic
1333C22×C4C23×D6111yescharacteristic
1334C22×C4C23×D6111yescharacteristic
1335C22×C4C23×D6111yescharacteristic
1336C22×C4C23×D6111yescharacteristic
1337C4⋊C4—614no—
1338C4⋊C4—614no—
1339C4⋊C4—614no—
1340C4⋊C4—614no—
1341C4⋊C4—1222no—
1342C4⋊C4—2441no—
1343C4⋊C4—2441no—
1344C4⋊C4—2441no—
1345C4⋊C4—2441no—
1346C4⋊C4—2441no—
1347C4⋊C4—2441no—
1348C4⋊C4—2441no—
1349C4⋊C4—2441no—
1350C4⋊C4—2441no—
1351C4⋊C4—2441no—
1352C4⋊C4—2441no—
1353C4⋊C4—2441no—
1354C4⋊C4—2441no—
1355C4⋊C4—2441no—
1356C4⋊C4—2441no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—614no—
1374C22⋊C4—614no—
1375C22⋊C4—614no—
1376C22⋊C4—614no—
1377C22⋊C4—614no—
1378C22⋊C4—614no—
1379C22⋊C4—614no—
1380C22⋊C4—614no—
1381C22⋊C4—614no—
1382C22⋊C4—614no—
1383C22⋊C4—614no—
1384C22⋊C4—614no—
1385C22⋊C4—1222no—
1386C22⋊C4—1222no—
1387C22⋊C4—1222no—
1388C22⋊C4—1222no—
1389C22⋊C4—1222no—
1390C22⋊C4—2441no—
1391C22⋊C4—2441no—
1392C22⋊C4—2441no—
1393C22⋊C4—2441no—
1394C22⋊C4—2441no—
1395C22⋊C4—2441no—
1396C22⋊C4—2441no—
1397C22⋊C4—2441no—
1398C22⋊C4—2441no—
1399C22⋊C4—2441no—
1400C22⋊C4—2441no—
1401C22⋊C4—2441no—
1402C22⋊C4—2441no—
1403C22⋊C4—2441no—
1404C22⋊C4—2441no—
1405C22⋊C4—2441no—
1406C22⋊C4—2441no—
1407C42—614no—
1408C42—1222no—
1409C42—1222no—
1410C42—2441no—
1411C42—2441no—
1412C42—2441no—
1413C42—2441no—
1414C42—2441no—
1415C42—2441no—
1416C42—2441no—
1417C42—2441no—
1418C42—2441no—
1419C42—2441no—
1420C42—2441no—
1421C42—2441no—
1422C42—2441no—
1423C42—2441no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—28no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23—44no—
1457C23—44no—
1458C23—82no—
1459C23—82no—
1460C23—82no—
1461C23—82no—
1462C23—82no—
1463C23—82no—
1464C23—82no—
1465C23—82no—
1466C23—612no—
1467C23—1221no—
1468C23—1221no—
1469C23—1221no—
1470C23—1221no—
1471C23—1221no—
1472C23—1221no—
1473C23C22×C4×D6112yes—
1474C23C22×C4×D6112yes—
1475C23C22×C4×D6112yes—
1476C23C22×C4×D6112yes—
1477C23C22×C4×D6112yes—
1478C23#1451982212yes—
1479C23#1451982212yes—
1480C23C24×D6111yescharacteristic
1481Q8—2444no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—44no—
1486D4—1228no—
1487D4—2444no—
1488D4—2444no—
1489D4—2444no—
1490D4—2444no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—82no—
1524C2×C4—612no—
1525C2×C4—612no—
1526C2×C4—612no—
1527C2×C4—612no—
1528C2×C4—612no—
1529C2×C4—612no—
1530C2×C4—612no—
1531C2×C4—612no—
1532C2×C4—1228no—
1533C2×C4—1221no—
1534C2×C4—1221no—
1535C2×C4—1221no—
1536C2×C4—1221no—
1537C2×C4—1221no—
1538C2×C4—1221no—
1539C2×C4—1221no—
1540C2×C4—1221no—
1541C2×C4—1221no—
1542C2×C4—1221no—
1543C2×C4—1221no—
1544C2×C4—1221no—
1545C2×C4—1221no—
1546C2×C4—1221no—
1547C2×C4—1221no—
1548C2×C4—1221no—
1549C2×C4—1221no—
1550C2×C4—1221no—
1551C2×C4—1221no—
1552C2×C4—1221no—
1553C2×C4—1221no—
1554C2×C4—1221no—
1555C2×C4—1221no—
1556C2×C4—1221no—
1557C2×C4—1221no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—4882no—
1571C2×C4—4882no—
1572C2×C4—4882no—
1573C2×C4—4882no—
1574C2×C4—4882no—
1575C2×C4—2444no—
1576C2×C4—2444no—
1577C2×C4—2444no—
1578C2×C4—2444no—
1579C2×C4—2444no—
1580C2×C4C22×C4×D6112yes—
1581C2×C4C22×C4×D6112yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—88no—
1617C22—88no—
1618C22—1222no—
1619C22—1222no—
1620C22—1222no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22#1684023514yes—
1626C22C23×C4×D6111yescharacteristic
1627C22H(5,𝔽2)×D6111yescharacteristic
1628C22C2×#1451982211yescharacteristic
1629C22C2×#1451982211yescharacteristic
1630C22#1684059711yescharacteristic
1631C22#1684059711yescharacteristic
1632C22#1684059711yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—1222no—
1644C4—1222no—
1645C4—1222no—
1646C4—1222no—
1647C4—1222no—
1648C4—1222no—
1649C4—1222no—
1650C4—1222no—
1651C4—2441no—
1652C4—2441no—
1653C4—2441no—
1654C4—2441no—
1655C4—2441no—
1656C4—2441no—
1657C4—2441no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—2442no—
1664C2C2×#1684023511yescharacteristic
1665C2#2145901711yescharacteristic
1666C2#2145902311yescharacteristic
1667C2#2146000611yescharacteristic
1668C2#2146013011yescharacteristic
1669C2#2146016811yescharacteristic
1670C2#2146036111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2308C2
socle, cosocleC23×C61C25
prime radicalC2×#16840406C2
hypercenter#2308D61
hypocenterC61#34492
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2308

Complements

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

NH ≅ G/Ntype
2. #21448987C2semidirect
3. #21448971C2semidirect
4. #21448962C2semidirect
5. #21448958C2semidirect
6. #21448928C2semidirect
7. #21448867C2semidirect
8. #21448860C2semidirect
9. #21448817C2semidirect
10. #21448798C2semidirect
11. #21448757C2semidirect
12. #21448756C2semidirect
13. #21448670C2semidirect
14. #21448664C2semidirect
15. #21448645C2semidirect
16. D4×C22⋊Dic61C2semidirect
17. #21448628C2semidirect
18. #21448610C2semidirect
19. #21448585C2semidirect
20. #21448572C2semidirect
21. #21448521C2semidirect
22. #21448493C2semidirect
23. #21448477C2semidirect
24. #21448474C2semidirect
25. #21448459C2semidirect
26. #21448415C2semidirect
27. #21448406C2semidirect
28. #21448329C2semidirect
29. #21448259C2semidirect
30. C2×#16839656C2semidirect
31. C61×#2308C2semidirect
33. #16840406C4semidirect
47. C2×C4×C22⋊D61C22semidirect
48. C2×C4×C22⋊D61C22semidirect
49. C2×#14519737C22semidirect
50. C2×#14519737C22semidirect
51. C2×#14519733C22semidirect
52. C2×#14519733C22semidirect
53. C22×#11758196C22semidirect
58. C22×C4×Dic61C22semidirect
59. #16839666C22semidirect
60. #16839666C22semidirect
61. #16839666C22semidirect
62. #16839666C22semidirect
67. #16839662C22semidirect
68. #16839662C22semidirect
69. #16839662C22semidirect
70. #16839662C22semidirect
71. #16839659C22semidirect
72. #16839659C22semidirect
73. #16839659C22semidirect
74. #16839659C22semidirect
83. #16839656C22semidirect
84. #16839656C22semidirect
85. #16839656C22semidirect
86. #16839656C22semidirect
87. #16839656C22semidirect
88. #16839656C22semidirect
89. #16839656C22semidirect
90. #16839656C22semidirect
91. #16839654C22semidirect
92. #16839654C22semidirect
97. #16839650C22semidirect
98. #16839650C22semidirect
99. #16839650C22semidirect
100. #16839650C22semidirect
101. #16839650C22semidirect
102. #16839650C22semidirect
103. #16839650C22semidirect
104. #16839650C22semidirect
105. #16839649C22semidirect
106. #16839649C22semidirect
107. #16839647C22semidirect
108. #16839647C22semidirect
109. #16839645C22semidirect
110. #16839645C22semidirect
111. #16839644C22semidirect
112. #16839644C22semidirect
113. #16839644C22semidirect
114. #16839644C22semidirect
119. #16839641C22semidirect
120. #16839641C22semidirect
121. #16839639C22semidirect
122. #16839639C22semidirect
125. #16839638C22semidirect
126. #16839638C22semidirect
127. #16839638C22semidirect
128. #16839638C22semidirect
129. #16839635C22semidirect
130. #16839635C22semidirect
131. #16839635C22semidirect
132. #16839635C22semidirect
133. #16839634C22semidirect
134. #16839634C22semidirect
135. #16839634C22semidirect
136. #16839634C22semidirect
137. #16839629C22semidirect
138. #16839624C22semidirect
139. #16839623C22semidirect
140. #16839623C22semidirect
142. #16839621C22semidirect
143. #16839621C22semidirect
144. #16839620C22semidirect
145. #16839620C22semidirect
146. #16839620C22semidirect
147. #16839620C22semidirect
150. #16839613C22semidirect
151. #16839613C22semidirect
152. #16839613C22semidirect
153. C22⋊C4×Dic61C22semidirect
154. C22⋊C4×Dic61C22semidirect
155. C22⋊C4×Dic61C22semidirect
156. C22⋊C4×Dic61C22semidirect
157. C22⋊C4×Dic61C22semidirect
158. C22⋊C4×Dic61C22semidirect
159. C22⋊C4×Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
162. C4×C22⋊Dic61C22semidirect
163. C4×C22⋊Dic61C22semidirect
164. C4×C22⋊Dic61C22semidirect
165. C4×C22⋊Dic61C22semidirect
166. #16839609C22semidirect
167. #16839609C22semidirect
168. #16839607C22semidirect
169. #16839607C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
172. #95×D61C22semidirect
190. C2×#11758224C2×C4semidirect
208. #14519764C2×C4semidirect
209. #14519758C2×C4semidirect
210. #14519758C2×C4semidirect
211. #14519756C2×C4semidirect
212. #14519749C2×C4semidirect
213. #14519749C2×C4semidirect
214. #14519748C2×C4semidirect
215. #14519746C2×C4semidirect
216. #14519746C2×C4semidirect
219. D4×Dic61C2×C4semidirect
222. C4×C22⋊D61C2×C4semidirect
250. C2×C22⋊Dic61C2×C4semidirect
251. C2×C22⋊Dic61C2×C4semidirect
340. C22×D4×C61C2×C4semidirect
850. #2308D61semidirect
1023. C61#34492semidirect
1037. C22×D4C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168404062
#214489872
#214489712
#214489622
#214489582
#214489282
#214488672
#214488602
#214488172
#214487982
#214487572
#214487562
#214486702
#214486642
#214486452
D4×C22⋊Dic612
#214486282
#214486102
#214485852
#214485722
#214485212
#214484932
#214484772
#214484742
#214484592
#214484152
#214484062
#214483292
#214482592
C2×#168396562
C61×#23082
#3449261