Finite Group Databasebeta

← #29844242

Subgroups — #29844242

Order 15616.

2306 conjugacy classes of subgroups.

The subgroup lattice has 1570 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840347C211yesmaximal, characteristic
2#21449006C211yesmaximal, characteristic, complemented
3#21448970C211yesmaximal, characteristic, complemented
4#21448961C211yesmaximal, characteristic, complemented
5#21448954C211yesmaximal, characteristic, complemented
6#21448936C211yesmaximal, characteristic, complemented
7#21448867C211yesmaximal, characteristic, complemented
8#21448860C211yesmaximal, characteristic, complemented
9#21448854C211yesmaximal, characteristic, complemented
10#21448817C211yesmaximal, characteristic, complemented
11#21448808C211yesmaximal, characteristic, complemented
12#21448803C211yesmaximal, characteristic, complemented
13#21448765C211yesmaximal, characteristic, complemented
14#21448754C211yesmaximal, characteristic, complemented
15#21448670C211yesmaximal, characteristic, complemented
16#21448670C211yesmaximal, characteristic, complemented
17#21448628C211yesmaximal, characteristic, complemented
18#21448626C211yesmaximal, characteristic, complemented
19#21448591C211yesmaximal, characteristic, complemented
20#21448569C211yesmaximal, characteristic, complemented
21#21448529C211yesmaximal, characteristic, complemented
22#21448521C211yesmaximal, characteristic, complemented
23#21448515C211yesmaximal, characteristic, complemented
24#21448494C211yesmaximal, characteristic, complemented
25#21448474C211yesmaximal, characteristic, complemented
26#21448474C211yesmaximal, characteristic, complemented
27#21448445C211yesmaximal, characteristic, complemented
28#21448373C211yesmaximal, characteristic, complemented
29#21448360C211yesmaximal, characteristic, complemented
30#21448281C211yesmaximal, characteristic, complemented
31C61×#2375C211yesmaximal, characteristic, complemented
32#16840347C4116yescomplemented
33C2×#14519770C2211yescharacteristic
34C2×#14519770C2211yescharacteristic
35C2×#14519764C2211yescharacteristic
36C2×#14519763C2211yescharacteristic
37C2×#14519759C2211yescharacteristic
38C2×#14519758C2211yescharacteristic
39C2×#14519754C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519749C2211yescharacteristic
42C2×#14519748C2211yescharacteristic
43C2×#14519746C2211yescharacteristic
44C2×#14519742C2211yescharacteristic, complemented
45C2×D4×Dic61C2211yescharacteristic
46C2×D4×Dic61C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×C4×C22⋊D61C2211yescharacteristic, complemented
49C2×#14519737C2211yescharacteristic
50C2×#14519737C2211yescharacteristic
51C2×#14519737C2211yescharacteristic
52C2×#14519734C2211yescharacteristic, complemented
53C2×#14519733C2211yescharacteristic
54C2×#14519733C2211yescharacteristic
55C2×#14519733C2211yescharacteristic, complemented
56C22×C22⋊Dic61C2211yescharacteristic
57C22×C22⋊Dic61C2211yescharacteristic
58C22×C22⋊Dic61C2211yescharacteristic
59#16839668C2211yescharacteristic, complemented
60#16839666C2211yescharacteristic, complemented
61#16839666C2211yescharacteristic, complemented
62#16839665C2211yescharacteristic
63#16839662C2211yescharacteristic
64#16839662C2211yescharacteristic
65#16839662C2211yescharacteristic
66#16839662C2211yescharacteristic
67#16839662C2211yescharacteristic, complemented
68#16839660C2211yescharacteristic, complemented
69#16839660C2211yescharacteristic, complemented
70#16839659C2211yescharacteristic, complemented
71#16839659C2211yescharacteristic, complemented
72#16839658C2211yescharacteristic, complemented
73#16839657C2211yescharacteristic, complemented
74#16839656C2211yescharacteristic
75#16839656C2211yescharacteristic
76#16839656C2211yescharacteristic
77#16839656C2211yescharacteristic
78#16839656C2211yescharacteristic
79#16839656C2211yescharacteristic
80#16839656C2211yescharacteristic
81#16839656C2211yescharacteristic
82#16839656C2211yescharacteristic, complemented
83#16839656C2211yescharacteristic, complemented
84#16839656C2211yescharacteristic, complemented
85#16839655C2211yescharacteristic
86#16839655C2211yescharacteristic
87#16839654C2211yescharacteristic, complemented
88#16839654C2211yescharacteristic, complemented
89#16839653C2211yescharacteristic, complemented
90#16839652C2211yescharacteristic, complemented
91#16839650C2211yescharacteristic
92#16839650C2211yescharacteristic
93#16839650C2211yescharacteristic
94#16839650C2211yescharacteristic
95#16839650C2211yescharacteristic
96#16839650C2211yescharacteristic
97#16839650C2211yescharacteristic
98#16839650C2211yescharacteristic
99#16839650C2211yescharacteristic, complemented
100#16839649C2211yescharacteristic, complemented
101#16839649C2211yescharacteristic, complemented
102#16839647C2211yescharacteristic, complemented
103#16839647C2211yescharacteristic, complemented
104#16839646C2211yescharacteristic, complemented
105#16839645C2211yescharacteristic, complemented
106#16839645C2211yescharacteristic, complemented
107#16839644C2211yescharacteristic, complemented
108#16839644C2211yescharacteristic, complemented
109#16839643C2211yescharacteristic, complemented
110#16839643C2211yescharacteristic, complemented
111#16839643C2211yescharacteristic, complemented
112#16839642C2211yescharacteristic
113#16839642C2211yescharacteristic
114#16839642C2211yescharacteristic
115#16839639C2211yescharacteristic
116#16839639C2211yescharacteristic
117#16839639C2211yescharacteristic, complemented
118#16839638C2211yescharacteristic
119#16839638C2211yescharacteristic
120#16839638C2211yescharacteristic
121#16839638C2211yescharacteristic
122#16839638C2211yescharacteristic, complemented
123#16839637C2211yescharacteristic
124#16839637C2211yescharacteristic
125#16839635C2211yescharacteristic, complemented
126#16839634C2211yescharacteristic
127#16839634C2211yescharacteristic
128#16839634C2211yescharacteristic
129#16839634C2211yescharacteristic
130#16839634C2211yescharacteristic
131#16839634C2211yescharacteristic
132#16839634C2211yescharacteristic, complemented
133#16839634C2211yescharacteristic, complemented
134#16839633C2211yescharacteristic, complemented
135#16839631C2211yescharacteristic, complemented
136#16839629C2211yescharacteristic, complemented
137#16839629C2211yescharacteristic, complemented
138#16839626C2211yescharacteristic, complemented
139#16839623C2211yescharacteristic
140#16839623C2211yescharacteristic
141#16839621C2211yescharacteristic, complemented
142#16839620C2211yescharacteristic
143#16839620C2211yescharacteristic
144#16839619C2211yescharacteristic, complemented
145C4⋊C4×Dic61C2211yescharacteristic, complemented
146C4⋊C4×Dic61C2211yescharacteristic, complemented
147C4×#11758196C2211yescharacteristic, complemented
148C4×#11758196C2211yescharacteristic, complemented
149C4×#11758196C2211yescharacteristic, complemented
150#16839613C2211yescharacteristic, complemented
151#16839613C2211yescharacteristic, complemented
152#16839613C2211yescharacteristic, complemented
153C22⋊C4×Dic61C2211yescharacteristic
154C22⋊C4×Dic61C2211yescharacteristic
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C22⋊C4×Dic61C2211yescharacteristic
162C22⋊C4×Dic61C2211yescharacteristic
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C4×#11758198C2211yescharacteristic, complemented
166C4×C22⋊Dic61C2211yescharacteristic, complemented
167#16839609C2211yescharacteristic, complemented
168#16839609C2211yescharacteristic, complemented
169#16839608C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172C42×Dic61C2211yescharacteristic, complemented
173C2×#120×C61C2211yescharacteristic
174C61×#390C2211yescharacteristic
175C61×#390C2211yescharacteristic
176C61×#390C2211yescharacteristic
177C61×#388C2211yescharacteristic
178C61×#388C2211yescharacteristic
179C61×#388C2211yescharacteristic
180C61×#388C2211yescharacteristic
181C61×#388C2211yescharacteristic
182C61×#388C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#379C2211yescharacteristic
187C61×#379C2211yescharacteristic
188C22×Dic122C2311yescharacteristic
189C22×C22⋊D61C2311yescharacteristic
190C22×C22⋊D61C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C23×Dic61C2311yescharacteristic
194C23×Dic61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C22×C4×D61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204#14519770C2×C418yescomplemented
205#14519770C2×C418yescomplemented
206#14519764C2×C418yescomplemented
207#14519763C2×C418yescomplemented
208#14519759C2×C418yescomplemented
209#14519758C2×C418yescomplemented
210#14519754C2×C418yescomplemented
211#14519749C2×C418yescomplemented
212#14519749C2×C418yescomplemented
213#14519748C2×C418yescomplemented
214#14519746C2×C418yescomplemented
215#14519742—42no—
216D4×Dic61—42no—
217D4×Dic61—42no—
218D4×Dic61C2×C418yescomplemented
219C4×C22⋊D61—42no—
220#14519737—42no—
221#14519737—42no—
222#14519737C2×C418yescomplemented
223#14519734—42no—
224#14519733—42no—
225#14519733—42no—
226#14519733—42no—
227C2×C4⋊Dic61C2311yescharacteristic
228C2×C4⋊Dic61C2311yescharacteristic
229C2×C4⋊Dic61C2311yescharacteristic
230C2×C4⋊Dic61C2311yescharacteristic
231C2×C4⋊Dic61C2311yescharacteristic
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×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×C22⋊Dic61—42no—
251C2×C22⋊Dic61—42no—
252C2×C22⋊Dic61C2×C418yescomplemented
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×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×C4×Dic61C2311yescharacteristic
282C2×C4×Dic61C2311yescharacteristic
283C2×C4×Dic61C2311yescharacteristic
284C2×C4×Dic61C2311yescharacteristic
285C2×C4×Dic61C2311yescharacteristic
286C2×C4×Dic61C2311yescharacteristic
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
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
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
334C25×C61C2311yescharacteristic
335C22×D4×C61C2311yescharacteristic
336C22×D4×C61C2311yescharacteristic
337C22×D4×C61C2311yescharacteristic
338C23×C4×C61C2311yescharacteristic
339#120×C61C2×C418yescomplemented
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C4⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
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×C42×C61C2311yescharacteristic
362C2×C42×C61C2311yescharacteristic
363C2×C42×C61C2311yescharacteristic
364#95×C61C2311yescharacteristic
365#95×C61C2311yescharacteristic
366#95×C61C2311yescharacteristic
367#95×C61C2311yescharacteristic
368#95×C61C2311yescharacteristic
369#95×C61C2311yescharacteristic
370C24×C61—41no—
371C24×C61—41no—
372C24×C61—41no—
373C24×C61—41no—
374C24×C61—41no—
375C24×C61—41no—
376C24×C61C22×C414yes—
377C24×C61C2411yescharacteristic
378C24×C61C2411yescharacteristic
379C24×C61C2411yescharacteristic
380C24×C61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C2×D4×C61—41no—
383C2×D4×C61—41no—
384C2×D4×C61—41no—
385C2×D4×C61—41no—
386C2×D4×C61—41no—
387C2×D4×C61—41no—
388C2×D4×C61C22×C414yes—
389C2×D4×C61C22×C414yes—
390C2×D4×C61C22×C414yes—
391C22×C4×C61—41no—
392C22×C4×C61—41no—
393C22×C4×C61—41no—
394C22×C4×C61C2411yescharacteristic
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C2×C22⋊D61—41no—
406C2×C22⋊D61—41no—
407C2×C22⋊D61—41no—
408C2×C22⋊D61—41no—
409C2×C22⋊D61—41no—
410C2×C22⋊D61—41no—
411C2×C22⋊D61—41no—
412C2×C22⋊D61—41no—
413C2×C22⋊D61C22×C414yes—
414C2×C22⋊D61C22×C414yes—
415C2×C22⋊D61C22×C414yes—
416C2×C22⋊D61C22×C414yes—
417C22×Dic61—22no—
418C22×Dic61—22no—
419C22×Dic61—41no—
420C22×Dic61—41no—
421C22×Dic61—41no—
422C22×Dic61—41no—
423C22×Dic61—41no—
424C22×Dic61—41no—
425C22×Dic61—41no—
426C22×Dic61—41no—
427C22×Dic61—41no—
428C22×Dic61—41no—
429C22×Dic61—41no—
430C22×Dic61—41no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61C22×C414yes—
439C22×Dic61C22×C414yes—
440C22×Dic61C22×C414yes—
441C22×Dic61C2411yescharacteristic
442C22×Dic61C2411yescharacteristic
443C22×Dic61C2411yescharacteristic
444C22×Dic61C2411yescharacteristic
445C22×Dic61C2411yescharacteristic
446C22×Dic61C2411yescharacteristic
447C22×Dic61C2411yescharacteristic
448C22×Dic61C2411yescharacteristic
449C22×Dic61C2411yescharacteristic
450C22×Dic61C2411yescharacteristic
451C22×Dic61C2411yescharacteristic
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C2×C4×D61—22no—
457C2×C4×D61—41no—
458C2×C4×D61—41no—
459C2×C4×D61—41no—
460C2×C4×D61—41no—
461C2×C4×D61—41no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61C22×C414yes—
465C2×Dic122—41no—
466C2×Dic122—41no—
467C2×Dic122C22×C414yes—
468C4⋊C4×C61—41no—
469C4⋊C4×C61—41no—
470C4⋊C4×C61—41no—
471C22⋊C4×C61—41no—
472C22⋊C4×C61—41no—
473C22⋊C4×C61—41no—
474C22⋊C4×C61—41no—
475C22⋊C4×C61—41no—
476C22⋊C4×C61—41no—
477C22⋊C4×C61—41no—
478C22⋊C4×C61—41no—
479C22⋊C4×C61—41no—
480C22⋊C4×C61—41no—
481C22⋊C4×C61—41no—
482C22⋊C4×C61—41no—
483C22⋊C4×C61—41no—
484C22⋊C4×C61—41no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61C22×C414yes—
487C22⋊C4×C61C22×C414yes—
488C22⋊C4×C61C22×C414yes—
489C42×C61—41no—
490C42×C61—41no—
491C42×C61—41no—
492C22⋊Dic61—22no—
493C22⋊Dic61—22no—
494C22⋊Dic61—22no—
495C22⋊Dic61—22no—
496C22⋊Dic61—22no—
497C22⋊Dic61—22no—
498C22⋊Dic61—41no—
499C22⋊Dic61—41no—
500C22⋊Dic61—41no—
501C22⋊Dic61—41no—
502C22⋊Dic61—41no—
503C22⋊Dic61C22×C414yes—
504C22⋊Dic61C22×C414yes—
505C22⋊Dic61C22×C414yes—
506C22⋊Dic61C22×C414yes—
507C22⋊Dic61C22×C414yes—
508C22⋊Dic61C22×C414yes—
509C22⋊Dic61C22×C414yes—
510C22⋊Dic61C22×C414yes—
511C22⋊Dic61C22×C414yes—
512#11758198—22no—
513#11758198—41no—
514#11758198—41no—
515#11758198—41no—
516#11758198—41no—
517#11758198—41no—
518#11758198C22×C414yes—
519#11758198C22×C414yes—
520C4⋊Dic61—41no—
521C4⋊Dic61—41no—
522C4⋊Dic61—41no—
523C4⋊Dic61C22×C414yes—
524C4⋊Dic61C22×C414yes—
525#11758196—22no—
526#11758196—22no—
527#11758196—22no—
528#11758196—41no—
529#11758196—41no—
530#11758196—41no—
531#11758196—41no—
532#11758196—41no—
533#11758196—41no—
534#11758196—41no—
535#11758196—41no—
536#11758196—41no—
537#11758196—41no—
538#11758196—41no—
539#11758196C22×C414yes—
540#11758196C22×C414yes—
541#11758196C22×C414yes—
542#11758196C22×C414yes—
543C4×Dic61—22no—
544C4×Dic61—22no—
545C4×Dic61—22no—
546C4×Dic61—22no—
547C4×Dic61—22no—
548C4×Dic61—41no—
549C4×Dic61—41no—
550C4×Dic61—41no—
551C4×Dic61—41no—
552C4×Dic61—41no—
553C4×Dic61—41no—
554C4×Dic61—41no—
555C4×Dic61—41no—
556C4×Dic61—41no—
557C4×Dic61—41no—
558C4×Dic61—41no—
559C4×Dic61—41no—
560C4×Dic61C22×C414yes—
561C4×Dic61C22×C414yes—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—44no—
587C23×C61—44no—
588C23×C61—44no—
589C23×C61—82no—
590C23×C61—82no—
591C23×C61—82no—
592C23×C61—82no—
593C23×C61C23×C412yes—
594C23×C61C23×C412yes—
595C23×C61C23×C412yes—
596C23×C61C23×C412yes—
597C23×C61C2511yescharacteristic
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—21no—
601C22×D61—21no—
602C22×D61—21no—
603C22×D61—21no—
604C22×D61C23×C412yes—
605D4×C61—44no—
606D4×C61—44no—
607D4×C61—44no—
608C2×C4×C61—21no—
609C2×C4×C61—21no—
610C2×C4×C61—21no—
611C2×C4×C61—21no—
612C2×C4×C61—21no—
613C2×C4×C61—21no—
614C2×C4×C61—21no—
615C2×C4×C61—21no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—82no—
639C2×C4×C61C23×C412yes—
640C2×C4×C61C23×C412yes—
641C2×C4×C61C23×C412yes—
642C22⋊D61—44no—
643C22⋊D61—44no—
644C22⋊D61—44no—
645C22⋊D61—44no—
646C2×Dic61—21no—
647C2×Dic61—21no—
648C2×Dic61—21no—
649C2×Dic61—21no—
650C2×Dic61—21no—
651C2×Dic61—21no—
652C2×Dic61—21no—
653C2×Dic61—21no—
654C2×Dic61—21no—
655C2×Dic61—21no—
656C2×Dic61—21no—
657C2×Dic61—21no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—44no—
683C2×Dic61—44no—
684C2×Dic61—44no—
685C2×Dic61—82no—
686C2×Dic61—82no—
687C2×Dic61—82no—
688C2×Dic61—82no—
689C2×Dic61—82no—
690C2×Dic61C23×C412yes—
691C2×Dic61C23×C412yes—
692C2×Dic61C23×C412yes—
693C2×Dic61C23×C412yes—
694C2×Dic61C23×C412yes—
695C2×Dic61C23×C412yes—
696C2×Dic61C23×C412yes—
697C2×Dic61H(5,𝔽2)12yes—
698C2×Dic61H(5,𝔽2)12yes—
699C4×D61—44no—
700C4×D61—82no—
701C4×D61—82no—
702Dic122—44no—
703#34446—611nomaximal, Sylow
704C22×C61—22no—
705C22×C61—22no—
706C22×C61—22no—
707C22×C61—22no—
708C22×C61—22no—
709C22×C61—22no—
710C22×C61—22no—
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—41no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61—41no—
723C22×C61—41no—
724C22×C61—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—88no—
733C22×C61C24×C411yescharacteristic
734C22×C61C2×H(5,𝔽2)11yescharacteristic
735C22×C61C2×H(5,𝔽2)11yescharacteristic
736C22×C61#58511yescharacteristic
737C22×C61#58511yescharacteristic
738C22×C61#58511yescharacteristic
739C22×C61#58511yescharacteristic
740C2×D61—22no—
741C2×D61—22no—
742C2×D61—22no—
743C2×D61—41no—
744C2×D61—41no—
745C2×D61—41no—
746C2×D61—41no—
747C4×C61—22no—
748C4×C61—22no—
749C4×C61—22no—
750C4×C61—41no—
751C4×C61—41no—
752C4×C61—41no—
753C4×C61—41no—
754C4×C61—41no—
755C4×C61—41no—
756C4×C61—41no—
757C4×C61—41no—
758Dic61—22no—
759Dic61—22no—
760Dic61—22no—
761Dic61—22no—
762Dic61—22no—
763Dic61—22no—
764Dic61—22no—
765Dic61—22no—
766Dic61—22no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770Dic61—41no—
771Dic61—41no—
772Dic61—41no—
773C2×#538—611no—
774#2383—611no—
775#2377—611no—
776#2376—611no—
777#2375D6111yescharacteristic, complemented
778#2374—611no—
779#2373—611no—
780#2364—611no—
781#2363—611no—
782#2363—611no—
783#2359—611no—
784#2359—611no—
785#2358—611no—
786#2354—611no—
787#2353—611no—
788#2342—611no—
789#2342—611no—
790#2337—611no—
791#2337—611no—
792#2334—611no—
793#2332—611no—
794#2326—611no—
795#2325—611no—
796#2324—611no—
797#2323—611no—
798#2321—611no—
799#2321—611no—
800#2318—611no—
801C4×#126—611no—
802C4×#124—611no—
803#2293—611no—
804C2×C61—42no—
805C2×C61—42no—
806C2×C61—42no—
807C2×C61—42no—
808C2×C61#342811yescharacteristic
809C2×C61C4×H(5,𝔽2)11yescharacteristic
810C2×C61C4×H(5,𝔽2)11yescharacteristic
811C2×C61#354511yescharacteristic
812C2×C61#354611yescharacteristic
813C2×C61#356011yescharacteristic
814C2×C61#356611yescharacteristic
815D61—42no—
816#538—6116no—
817C2×#126—611no—
818C2×#126—611no—
819C2×#124—611no—
820C2×#124—611no—
821C2×#123—611no—
822C2×#123—611no—
823C2×C22⋊Q8—611no—
824C2×#121—611no—
825C2×#121—611no—
826C2×#121—611no—
827C2×#120—611no—
828C2×#120C2×D6111yescharacteristic
829C2×C4×Q8—611no—
830C2×C4×D4—611no—
831C2×C4×D4—611no—
832C2×C4×D4—611no—
833C2×C4×D4—611no—
834C2×C4×D4—611no—
835C2×C4×D4—611no—
836C2×C4×D4—611no—
837C2×#117—611no—
838C2×#117—611no—
839C2×#117—611no—
840C2×#117—611no—
841C22×C22⋊C4—611no—
842C22×C22⋊C4—611no—
843C22×C22⋊C4—611no—
844#391—611no—
845#391—611no—
846#391—611no—
847#390—611no—
848#390—611no—
849#390—611no—
850#390—611no—
851#390—611no—
852#390—611no—
853#390C2×D6111yescharacteristic
854#390C2×D6111yescharacteristic
855#390C2×D6111yescharacteristic
856#389—611no—
857#389—611no—
858#389—611no—
859#389—611no—
860#389—611no—
861#389—611no—
862#388—611no—
863#388—611no—
864#388—611no—
865#388—611no—
866#388—611no—
867#388—611no—
868#388—611no—
869#388—611no—
870#388—611no—
871#388—611no—
872#388—611no—
873#388—611no—
874#388—611no—
875#388—611no—
876#388—611no—
877#388—611no—
878#388—611no—
879#388—611no—
880#388—611no—
881#388—611no—
882#388—611no—
883#388—611no—
884#388—611no—
885#388—611no—
886#388—611no—
887#388—611no—
888#388C2×D6111yescharacteristic
889#388C2×D6111yescharacteristic
890#388C2×D6111yescharacteristic
891#388C2×D6111yescharacteristic
892#388C2×D6111yescharacteristic
893#388C2×D6111yescharacteristic
894#387—611no—
895#387—611no—
896#387—611no—
897#387—611no—
898#387—611no—
899#387—611no—
900#387—611no—
901#387—611no—
902#387—611no—
903#387—611no—
904#387—611no—
905#387—611no—
906#386—611no—
907#386—611no—
908#386—611no—
909#386—611no—
910#386—611no—
911#386—611no—
912#386—611no—
913#386—611no—
914#386—611no—
915#386—611no—
916#386—611no—
917#386C2×D6111yescharacteristic
918#386C2×D6111yescharacteristic
919#386C2×D6111yescharacteristic
920#385—611no—
921#385—611no—
922#385—611no—
923#385—611no—
924#385—611no—
925#385—611no—
926#385—611no—
927#385—611no—
928#385—611no—
929#385—611no—
930#385—611no—
931#385—611no—
932#384—611no—
933#383—611no—
934#383—611no—
935#382—611no—
936#381—611no—
937#381—611no—
938#380—611no—
939#380—611no—
940#380—611no—
941#380—611no—
942#379C2×D6111yescharacteristic
943#379C2×D6111yescharacteristic
944C4×C4⋊C4—611no—
945C4×C4⋊C4—611no—
946C4×C4⋊C4—611no—
947C4×C4⋊C4—611no—
948C4×C4⋊C4—611no—
949C4×C4⋊C4—611no—
950C4×C4⋊C4—611no—
951C4×C4⋊C4—611no—
952C4×C22⋊C4—611no—
953C4×C22⋊C4—611no—
954C4×C22⋊C4—611no—
955C4×C22⋊C4—611no—
956C4×C22⋊C4—611no—
957C4×C22⋊C4—611no—
958C4×C22⋊C4—611no—
959C4×C22⋊C4—611no—
960C4×C22⋊C4—611no—
961C4×C22⋊C4—611no—
962C4×C22⋊C4—611no—
963C4×C22⋊C4—611no—
964C4×C22⋊C4—611no—
965C4×C22⋊C4—611no—
966C4×C22⋊C4—611no—
967C4×C22⋊C4—611no—
968#376—611no—
969C2×#95—611no—
970C2×#95—611no—
971C43—611no—
972C61#3444611yescharacteristic, complemented, Sylow
973C25C22×D6111yescharacteristic
974C22×Q8—611no—
975C22×D4—611no—
976C22×D4—611no—
977C22×D4—611no—
978C22×D4—611no—
979C22×D4C22×D6111yescharacteristic
980C22×D4C22×D6111yescharacteristic
981C22×D4C22×D6111yescharacteristic
982C23×C4—611no—
983C23×C4—611no—
984C23×C4—611no—
985C23×C4—611no—
986C23×C4—611no—
987C23×C4—611no—
988C23×C4—611no—
989C23×C4—611no—
990C23×C4—611no—
991C23×C4—611no—
992C23×C4—611no—
993C23×C4C22×D6111yescharacteristic
994#126—618no—
995#126—618no—
996#124—618no—
997#124—618no—
998#123—618no—
999#123—618no—
1000C22⋊Q8—618no—
1001#121—618no—
1002#121—618no—
1003#121—618no—
1004#120—618no—
1005#120C4×D6118yescomplemented
1006C4×Q8—2442no—
1007C4×D4—618no—
1008C4×D4—618no—
1009C4×D4—2442no—
1010C4×D4—2442no—
1011C4×D4—2442no—
1012C4×D4—2442no—
1013C4×D4—2442no—
1014#117—2442no—
1015#117—2442no—
1016#117—2442no—
1017#117—2442no—
1018C2×C4⋊C4—611no—
1019C2×C4⋊C4—611no—
1020C2×C4⋊C4—611no—
1021C2×C4⋊C4—611no—
1022C2×C4⋊C4—611no—
1023C2×C4⋊C4—611no—
1024C2×C4⋊C4—611no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—611no—
1033C2×C4⋊C4—611no—
1034C2×C4⋊C4—611no—
1035C2×C4⋊C4—611no—
1036C2×C4⋊C4—611no—
1037C2×C4⋊C4—611no—
1038C2×C4⋊C4—611no—
1039C2×C4⋊C4—611no—
1040C2×C4⋊C4—611no—
1041C2×C4⋊C4C22×D6111yescharacteristic
1042C2×C4⋊C4C22×D6111yescharacteristic
1043C2×C4⋊C4C22×D6111yescharacteristic
1044C2×C22⋊C4—618no—
1045C2×C22⋊C4—611no—
1046C2×C22⋊C4—611no—
1047C2×C22⋊C4—611no—
1048C2×C22⋊C4—611no—
1049C2×C22⋊C4—611no—
1050C2×C22⋊C4—611no—
1051C2×C22⋊C4—611no—
1052C2×C22⋊C4—611no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—611no—
1059C2×C22⋊C4—611no—
1060C2×C22⋊C4—611no—
1061C2×C22⋊C4—611no—
1062C2×C22⋊C4—611no—
1063C2×C22⋊C4—611no—
1064C2×C22⋊C4—611no—
1065C2×C22⋊C4—611no—
1066C2×C22⋊C4—611no—
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—2442no—
1074C2×C22⋊C4—2442no—
1075C2×C22⋊C4C22×D6111yescharacteristic
1076C2×C22⋊C4C22×D6111yescharacteristic
1077C2×C22⋊C4C22×D6111yescharacteristic
1078C2×C22⋊C4C22×D6111yescharacteristic
1079C2×C22⋊C4C22×D6111yescharacteristic
1080C2×C22⋊C4C22×D6111yescharacteristic
1081C2×C22⋊C4C22×D6111yescharacteristic
1082C2×C22⋊C4C22×D6111yescharacteristic
1083C2×C22⋊C4C22×D6111yescharacteristic
1084C2×C22⋊C4C22×D6111yescharacteristic
1085C2×C22⋊C4C22×D6111yescharacteristic
1086C2×C22⋊C4C22×D6111yescharacteristic
1087C2×C22⋊C4C22×D6111yescharacteristic
1088C2×C22⋊C4C22×D6111yescharacteristic
1089C2×C22⋊C4C22×D6111yescharacteristic
1090C2×C22⋊C4C22×D6111yescharacteristic
1091C2×C22⋊C4C22×D6111yescharacteristic
1092C2×C22⋊C4C22×D6111yescharacteristic
1093C2×C42—611no—
1094C2×C42—611no—
1095C2×C42—611no—
1096C2×C42—611no—
1097C2×C42—611no—
1098C2×C42—611no—
1099C2×C42—611no—
1100C2×C42—611no—
1101C2×C42—611no—
1102C2×C42—611no—
1103C2×C42—611no—
1104C2×C42—611no—
1105C2×C42—611no—
1106C2×C42—611no—
1107C2×C42—611no—
1108C2×C42—611no—
1109C2×C42—611no—
1110C2×C42—611no—
1111C2×C42—611no—
1112C2×C42C22×D6111yescharacteristic
1113C2×C42C22×D6111yescharacteristic
1114C2×C42C22×D6111yescharacteristic
1115#95—611no—
1116#95—611no—
1117#95—611no—
1118#95—611no—
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
1137#95—611no—
1138#95—611no—
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95C22×D6111yescharacteristic
1150#95C22×D6111yescharacteristic
1151#95C22×D6111yescharacteristic
1152#95C22×D6111yescharacteristic
1153#95C22×D6111yescharacteristic
1154#95C22×D6111yescharacteristic
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24—611no—
1162C24C2×C4×D6114yes—
1163C24C23×D6111yescharacteristic
1164C24C23×D6111yescharacteristic
1165C24C23×D6111yescharacteristic
1166C24C23×D6111yescharacteristic
1167C2×Q8—614no—
1168C2×Q8—2441no—
1169C2×Q8—2441no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—614no—
1177C2×D4—614no—
1178C2×D4—614no—
1179C2×D4—614no—
1180C2×D4—2441no—
1181C2×D4—2441no—
1182C2×D4—2441no—
1183C2×D4—2441no—
1184C2×D4—2441no—
1185C2×D4—2441no—
1186C2×D4—2441no—
1187C2×D4—2441no—
1188C2×D4C2×C4×D6114yes—
1189C2×D4C2×C4×D6114yes—
1190C2×D4C2×C4×D6114yes—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—611no—
1195C22×C4—611no—
1196C22×C4—611no—
1197C22×C4—611no—
1198C22×C4—611no—
1199C22×C4—611no—
1200C22×C4—611no—
1201C22×C4—611no—
1202C22×C4—611no—
1203C22×C4—614no—
1204C22×C4—614no—
1205C22×C4—614no—
1206C22×C4—614no—
1207C22×C4—611no—
1208C22×C4—611no—
1209C22×C4—611no—
1210C22×C4—611no—
1211C22×C4—611no—
1212C22×C4—611no—
1213C22×C4—1222no—
1214C22×C4—1222no—
1215C22×C4—1222no—
1216C22×C4—2441no—
1217C22×C4—2441no—
1218C22×C4—2441no—
1219C22×C4—2441no—
1220C22×C4—2441no—
1221C22×C4—2441no—
1222C22×C4—2441no—
1223C22×C4—2441no—
1224C22×C4—2441no—
1225C22×C4—2441no—
1226C22×C4—2441no—
1227C22×C4—2441no—
1228C22×C4—2441no—
1229C22×C4—2441no—
1230C22×C4—2441no—
1231C22×C4—2441no—
1232C22×C4—2441no—
1233C22×C4—2441no—
1234C22×C4—2441no—
1235C22×C4—2441no—
1236C22×C4—2441no—
1237C22×C4—2441no—
1238C22×C4—2441no—
1239C22×C4—2441no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4C23×D6111yescharacteristic
1243C22×C4C23×D6111yescharacteristic
1244C22×C4C23×D6111yescharacteristic
1245C22×C4C23×D6111yescharacteristic
1246C22×C4C23×D6111yescharacteristic
1247C22×C4C23×D6111yescharacteristic
1248C22×C4C23×D6111yescharacteristic
1249C22×C4C23×D6111yescharacteristic
1250C22×C4C23×D6111yescharacteristic
1251C22×C4C23×D6111yescharacteristic
1252C22×C4C23×D6111yescharacteristic
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—614no—
1257C4⋊C4—614no—
1258C4⋊C4—614no—
1259C4⋊C4—614no—
1260C4⋊C4—614no—
1261C4⋊C4—614no—
1262C4⋊C4—1222no—
1263C4⋊C4—1222no—
1264C4⋊C4—1222no—
1265C4⋊C4—2441no—
1266C4⋊C4—2441no—
1267C4⋊C4—2441no—
1268C4⋊C4—2441no—
1269C4⋊C4—2441no—
1270C4⋊C4—2441no—
1271C4⋊C4—2441no—
1272C4⋊C4—2441no—
1273C4⋊C4—2441no—
1274C4⋊C4—2441no—
1275C4⋊C4—2441no—
1276C4⋊C4—2441no—
1277C4⋊C4—2441no—
1278C4⋊C4—2441no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—614no—
1295C22⋊C4—614no—
1296C22⋊C4—614no—
1297C22⋊C4—614no—
1298C22⋊C4—614no—
1299C22⋊C4—614no—
1300C22⋊C4—614no—
1301C22⋊C4—614no—
1302C22⋊C4—614no—
1303C22⋊C4—614no—
1304C22⋊C4—614no—
1305C22⋊C4—1222no—
1306C22⋊C4—1222no—
1307C22⋊C4—1222no—
1308C22⋊C4—1222no—
1309C22⋊C4—1222no—
1310C22⋊C4—1222no—
1311C22⋊C4—1222no—
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⋊C4C2×C4×D6114yes—
1323C22⋊C4C2×C4×D6114yes—
1324C22⋊C4C2×C4×D6114yes—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—614no—
1329C42—614no—
1330C42—1222no—
1331C42—1222no—
1332C42—1222no—
1333C42—1222no—
1334C42—1222no—
1335C42—2441no—
1336C42—2441no—
1337C42—2441no—
1338C42—2441no—
1339C42—2441no—
1340C42—2441no—
1341C42—2441no—
1342C42—2441no—
1343C42—2441no—
1344C42—2441no—
1345C42—2441no—
1346C42—2441no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—44no—
1372C23—44no—
1373C23—44no—
1374C23—82no—
1375C23—82no—
1376C23—82no—
1377C23—82no—
1378C23—612no—
1379C23—1221no—
1380C23—1221no—
1381C23—1221no—
1382C23—1221no—
1383C23—1221no—
1384C23—1221no—
1385C23C22×C4×D6112yes—
1386C23C22×C4×D6112yes—
1387C23C22×C4×D6112yes—
1388C23C22×C4×D6112yes—
1389C23C24×D6111yescharacteristic
1390Q8—2444no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—2444no—
1395D4—2444no—
1396D4—2444no—
1397D4—2444no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—82no—
1429C2×C4—612no—
1430C2×C4—612no—
1431C2×C4—612no—
1432C2×C4—612no—
1433C2×C4—612no—
1434C2×C4—612no—
1435C2×C4—612no—
1436C2×C4—612no—
1437C2×C4—612no—
1438C2×C4—1221no—
1439C2×C4—1221no—
1440C2×C4—1221no—
1441C2×C4—1221no—
1442C2×C4—1221no—
1443C2×C4—1221no—
1444C2×C4—1221no—
1445C2×C4—1221no—
1446C2×C4—1221no—
1447C2×C4—1221no—
1448C2×C4—1221no—
1449C2×C4—1221no—
1450C2×C4—1221no—
1451C2×C4—1221no—
1452C2×C4—1221no—
1453C2×C4—1221no—
1454C2×C4—1221no—
1455C2×C4—1221no—
1456C2×C4—1221no—
1457C2×C4—1221no—
1458C2×C4—1221no—
1459C2×C4—1221no—
1460C2×C4—1221no—
1461C2×C4—1221no—
1462C2×C4—1221no—
1463C2×C4—1221no—
1464C2×C4—1221no—
1465C2×C4—1221no—
1466C2×C4—1221no—
1467C2×C4—1221no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—4882no—
1475C2×C4—4882no—
1476C2×C4—4882no—
1477C2×C4—4882no—
1478C2×C4—4882no—
1479C2×C4—4882no—
1480C2×C4—4882no—
1481C2×C4—2444no—
1482C2×C4—2444no—
1483C2×C4—2444no—
1484C2×C4—2444no—
1485C2×C4C22×C4×D6112yes—
1486C2×C4C22×C4×D6112yes—
1487C2×C4C22×C4×D6112yes—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—88no—
1517C22—1222no—
1518C22—1222no—
1519C22—1222no—
1520C22—2441no—
1521C22—2441no—
1522C22—2441no—
1523C22—2441no—
1524C22C23×C4×D6111yescharacteristic
1525C22H(5,𝔽2)×D6111yescharacteristic
1526C22H(5,𝔽2)×D6111yescharacteristic
1527C22#1684059711yescharacteristic
1528C22#1684059711yescharacteristic
1529C22#1684059711yescharacteristic
1530C22#1684059711yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—1222no—
1543C4—1222no—
1544C4—1222no—
1545C4—1222no—
1546C4—1222no—
1547C4—1222no—
1548C4—1222no—
1549C4—1222no—
1550C4—1222no—
1551C4—2441no—
1552C4—2441no—
1553C4—2441no—
1554C4—2441no—
1555C4—2441no—
1556C4—2441no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—42no—
1561C2—2442no—
1562C2#2145901711yescharacteristic
1563C2#2145902311yescharacteristic
1564C2#2145902311yescharacteristic
1565C2#2146017411yescharacteristic
1566C2#2146018211yescharacteristic
1567C2#2146036911yescharacteristic
1568C2#2146047611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
FittingC61×#2375C2
socle, cosocleC23×C61C25
prime radicalC2×#16840347C2
hypercenter#2375D61
hypocenterC61#34446
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2375

Complements

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

NH ≅ G/Ntype
2. #21449006C2semidirect
3. #21448970C2semidirect
4. #21448961C2semidirect
5. #21448954C2semidirect
6. #21448936C2semidirect
7. #21448867C2semidirect
8. #21448860C2semidirect
9. #21448854C2semidirect
10. #21448817C2semidirect
11. #21448808C2semidirect
12. #21448803C2semidirect
13. #21448765C2semidirect
14. #21448754C2semidirect
15. #21448670C2semidirect
16. #21448670C2semidirect
17. #21448628C2semidirect
18. #21448626C2semidirect
19. #21448591C2semidirect
20. #21448569C2semidirect
21. #21448529C2semidirect
22. #21448521C2semidirect
23. #21448515C2semidirect
24. #21448494C2semidirect
25. #21448474C2semidirect
26. #21448474C2semidirect
27. #21448445C2semidirect
28. #21448373C2semidirect
29. #21448360C2semidirect
30. #21448281C2semidirect
31. C61×#2375C2semidirect
32. #16840347C4semidirect
44. C2×#14519742C22semidirect
48. C2×C4×C22⋊D61C22semidirect
52. C2×#14519734C22semidirect
55. C2×#14519733C22semidirect
59. #16839668C22semidirect
60. #16839666C22semidirect
61. #16839666C22semidirect
67. #16839662C22semidirect
68. #16839660C22semidirect
69. #16839660C22semidirect
70. #16839659C22semidirect
71. #16839659C22semidirect
72. #16839658C22semidirect
73. #16839657C22semidirect
82. #16839656C22semidirect
83. #16839656C22semidirect
84. #16839656C22semidirect
87. #16839654C22semidirect
88. #16839654C22semidirect
89. #16839653C22semidirect
90. #16839652C22semidirect
99. #16839650C22semidirect
100. #16839649C22semidirect
101. #16839649C22semidirect
102. #16839647C22semidirect
103. #16839647C22semidirect
104. #16839646C22semidirect
105. #16839645C22semidirect
106. #16839645C22semidirect
107. #16839644C22semidirect
108. #16839644C22semidirect
109. #16839643C22semidirect
110. #16839643C22semidirect
111. #16839643C22semidirect
117. #16839639C22semidirect
122. #16839638C22semidirect
125. #16839635C22semidirect
132. #16839634C22semidirect
133. #16839634C22semidirect
134. #16839633C22semidirect
135. #16839631C22semidirect
136. #16839629C22semidirect
137. #16839629C22semidirect
138. #16839626C22semidirect
141. #16839621C22semidirect
144. #16839619C22semidirect
145. C4⋊C4×Dic61C22semidirect
146. C4⋊C4×Dic61C22semidirect
147. C4×#11758196C22semidirect
148. C4×#11758196C22semidirect
149. C4×#11758196C22semidirect
150. #16839613C22semidirect
151. #16839613C22semidirect
152. #16839613C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C4×#11758198C22semidirect
166. C4×C22⋊Dic61C22semidirect
167. #16839609C22semidirect
168. #16839609C22semidirect
169. #16839608C22semidirect
170. C2×#14519684C22semidirect
171. #95×D61C22semidirect
172. C42×Dic61C22semidirect
204. #14519770C2×C4semidirect
205. #14519770C2×C4semidirect
206. #14519764C2×C4semidirect
207. #14519763C2×C4semidirect
208. #14519759C2×C4semidirect
209. #14519758C2×C4semidirect
210. #14519754C2×C4semidirect
211. #14519749C2×C4semidirect
212. #14519749C2×C4semidirect
213. #14519748C2×C4semidirect
214. #14519746C2×C4semidirect
218. D4×Dic61C2×C4semidirect
222. #14519737C2×C4semidirect
252. C2×C22⋊Dic61C2×C4semidirect
339. #120×C61C2×C4semidirect
777. #2375D61semidirect
972. C61#34446semidirect
1005. #120C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168403472
#214490062
#214489702
#214489612
#214489542
#214489362
#214488672
#214488602
#214488542
#214488172
#214488082
#214488032
#214487652
#214487542
#214486702
#214486282
#214486262
#214485912
#214485692
#214485292
#214485212
#214485152
#214484942
#214484742
#214484452
#214483732
#214483602
#214482812
C61×#23752
#3444661