Finite Group Databasebeta

← #29844241

Subgroups — #29844241

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
1#21449011C211yesmaximal, characteristic, complemented
2#21448976C211yesmaximal, characteristic, complemented
3#21448967C211yesmaximal, characteristic, complemented
4#21448960C211yesmaximal, characteristic, complemented
5#21448955C211yesmaximal, characteristic, complemented
6#21448943C211yesmaximal, characteristic, complemented
7#21448871C211yesmaximal, characteristic, complemented
8#21448861C211yesmaximal, characteristic, complemented
9#21448861C211yesmaximal, characteristic, complemented
10#21448815C211yesmaximal, characteristic, complemented
11#21448815C211yesmaximal, characteristic, complemented
12#21448803C211yesmaximal, characteristic, complemented
13#21448768C211yesmaximal, characteristic, complemented
14#21448759C211yesmaximal, characteristic, complemented
15#21448668C211yesmaximal, characteristic, complemented
16#21448668C211yesmaximal, characteristic, complemented
17#21448634C211yesmaximal, characteristic, complemented
18#21448634C211yesmaximal, characteristic, complemented
19#21448598C211yesmaximal, characteristic, complemented
20#21448577C211yesmaximal, characteristic, complemented
21#21448532C211yesmaximal, characteristic, complemented
22#21448524C211yesmaximal, characteristic, complemented
23#21448514C211yesmaximal, characteristic, complemented
24#21448503C211yesmaximal, characteristic, complemented
25#21448480C211yesmaximal, characteristic, complemented
26#21448480C211yesmaximal, characteristic, complemented
27#21448452C211yesmaximal, characteristic, complemented
28#126×Dic61C211yesmaximal, characteristic, complemented
29#124×Dic61C211yesmaximal, characteristic, complemented
30#21448284C211yesmaximal, characteristic, complemented
31C2×C61×#538C211yesmaximal, characteristic
32C2×Q8×Dic61C2211yescharacteristic, complemented
33C2×D4×Dic61C2211yescharacteristic
34C2×D4×Dic61C2211yescharacteristic
35C2×D4×Dic61C2211yescharacteristic
36C2×D4×Dic61C2211yescharacteristic
37C2×D4×Dic61C2211yescharacteristic, complemented
38C2×#14519736C2211yescharacteristic
39C2×#14519736C2211yescharacteristic
40C2×#14519736C2211yescharacteristic, complemented
41C2×#14519736C2211yescharacteristic, complemented
42C22×C22⋊Dic61C2211yescharacteristic
43C22×C22⋊Dic61C2211yescharacteristic
44#16839669C2211yescharacteristic, complemented
45#16839669C2211yescharacteristic, complemented
46#16839669C2211yescharacteristic, complemented
47#16839665C2211yescharacteristic
48#16839665C2211yescharacteristic
49#16839665C2211yescharacteristic
50#16839665C2211yescharacteristic
51#16839665C2211yescharacteristic
52#16839665C2211yescharacteristic
53#16839665C2211yescharacteristic
54#16839665C2211yescharacteristic
55#16839665C2211yescharacteristic, complemented
56#16839661C2211yescharacteristic, complemented
57#16839661C2211yescharacteristic, complemented
58#16839661C2211yescharacteristic, complemented
59#16839661C2211yescharacteristic, complemented
60#16839661C2211yescharacteristic, complemented
61#16839661C2211yescharacteristic, complemented
62#16839655C2211yescharacteristic
63#16839655C2211yescharacteristic
64#16839655C2211yescharacteristic
65#16839655C2211yescharacteristic
66#16839655C2211yescharacteristic
67#16839655C2211yescharacteristic
68#16839655C2211yescharacteristic
69#16839655C2211yescharacteristic
70#16839655C2211yescharacteristic
71#16839655C2211yescharacteristic
72#16839655C2211yescharacteristic
73#16839655C2211yescharacteristic
74#16839655C2211yescharacteristic
75#16839655C2211yescharacteristic
76#16839655C2211yescharacteristic
77#16839655C2211yescharacteristic
78#16839655C2211yescharacteristic
79#16839655C2211yescharacteristic
80#16839655C2211yescharacteristic
81#16839655C2211yescharacteristic
82#16839655C2211yescharacteristic
83#16839655C2211yescharacteristic
84#16839655C2211yescharacteristic
85#16839655C2211yescharacteristic
86#16839655C2211yescharacteristic, complemented
87#16839655C2211yescharacteristic, complemented
88#16839655C2211yescharacteristic, complemented
89#16839655C2211yescharacteristic, complemented
90#16839655C2211yescharacteristic, complemented
91#16839655C2211yescharacteristic, complemented
92#16839655C2211yescharacteristic, complemented
93#16839655C2211yescharacteristic, complemented
94#16839648C2211yescharacteristic, complemented
95#16839648C2211yescharacteristic, complemented
96#16839648C2211yescharacteristic, complemented
97#16839648C2211yescharacteristic, complemented
98#16839648C2211yescharacteristic, complemented
99#16839648C2211yescharacteristic, complemented
100#16839648C2211yescharacteristic, complemented
101#16839648C2211yescharacteristic, complemented
102#16839648C2211yescharacteristic, complemented
103#16839648C2211yescharacteristic, complemented
104#16839648C2211yescharacteristic, complemented
105#16839648C2211yescharacteristic, complemented
106#16839642C2211yescharacteristic
107#16839642C2211yescharacteristic
108#16839642C2211yescharacteristic
109#16839642C2211yescharacteristic
110#16839642C2211yescharacteristic
111#16839642C2211yescharacteristic
112#16839642C2211yescharacteristic
113#16839642C2211yescharacteristic
114#16839642C2211yescharacteristic
115#16839642C2211yescharacteristic
116#16839642C2211yescharacteristic
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic, complemented
119#16839642C2211yescharacteristic, complemented
120#16839637C2211yescharacteristic
121#16839637C2211yescharacteristic
122#16839637C2211yescharacteristic
123#16839637C2211yescharacteristic
124#16839637C2211yescharacteristic
125#16839637C2211yescharacteristic
126#16839637C2211yescharacteristic
127#16839637C2211yescharacteristic
128#16839637C2211yescharacteristic, complemented
129#16839637C2211yescharacteristic, complemented
130#16839637C2211yescharacteristic, complemented
131#16839637C2211yescharacteristic, complemented
132#16839632C2211yescharacteristic, complemented
133#16839630C2211yescharacteristic, complemented
134#16839630C2211yescharacteristic, complemented
135#16839628C2211yescharacteristic, complemented
136#16839625C2211yescharacteristic
137#16839625C2211yescharacteristic
138#16839622C2211yescharacteristic
139#16839622C2211yescharacteristic
140#16839622C2211yescharacteristic, complemented
141#16839622C2211yescharacteristic, complemented
142#16839618C2211yescharacteristic
143#16839618C2211yescharacteristic
144C4⋊C4×Dic61C2211yescharacteristic, complemented
145C4⋊C4×Dic61C2211yescharacteristic, complemented
146C4⋊C4×Dic61C2211yescharacteristic, complemented
147C4⋊C4×Dic61C2211yescharacteristic, complemented
148C4⋊C4×Dic61C2211yescharacteristic, complemented
149C4⋊C4×Dic61C2211yescharacteristic, complemented
150C4×C4⋊Dic61C2211yescharacteristic, complemented
151C4×C4⋊Dic61C2211yescharacteristic, complemented
152C22⋊C4×Dic61C2211yescharacteristic
153C22⋊C4×Dic61C2211yescharacteristic
154C22⋊C4×Dic61C2211yescharacteristic
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C4×C22⋊Dic61C2211yescharacteristic
165C4×C22⋊Dic61C2211yescharacteristic
166C4×C22⋊Dic61C2211yescharacteristic, complemented
167C4×C22⋊Dic61C2211yescharacteristic, complemented
168#16839608C2211yescharacteristic, complemented
169C2×#14519684C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C42×Dic61C2211yescharacteristic, complemented
172C61×#538C4116yescomplemented
173C2×#126×C61C2211yescharacteristic
174C2×#126×C61C2211yescharacteristic
175C2×#124×C61C2211yescharacteristic
176C2×#124×C61C2211yescharacteristic
177C2×#123×C61C2211yescharacteristic
178C2×#123×C61C2211yescharacteristic
179C2×C22⋊Q8×C61C2211yescharacteristic
180C2×#121×C61C2211yescharacteristic
181C2×#121×C61C2211yescharacteristic
182C2×#121×C61C2211yescharacteristic
183C2×#120×C61C2211yescharacteristic
184C2×#120×C61C2211yescharacteristic
185C2×C4×D4×C61C2211yescharacteristic
186C2×C4×D4×C61C2211yescharacteristic
187C22×C22⋊C4×C61C2211yescharacteristic
188C23×Dic61C2311yescharacteristic
189C23×Dic61C2311yescharacteristic
190C23×Dic61C2311yescharacteristic
191C23×Dic61C2311yescharacteristic
192C23×Dic61C2311yescharacteristic
193C23×Dic61C2311yescharacteristic
194C23×Dic61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196Q8×Dic61—42no—
197D4×Dic61—42no—
198D4×Dic61—42no—
199D4×Dic61—42no—
200D4×Dic61—42no—
201D4×Dic61—42no—
202#14519736—42no—
203#14519736—42no—
204#14519736—42no—
205#14519736—42no—
206C2×C4⋊Dic61C2311yescharacteristic
207C2×C4⋊Dic61C2311yescharacteristic
208C2×C4⋊Dic61C2311yescharacteristic
209C2×C4⋊Dic61C2311yescharacteristic
210C2×C4⋊Dic61C2311yescharacteristic
211C2×C4⋊Dic61C2311yescharacteristic
212C2×C4⋊Dic61C2311yescharacteristic
213C2×C4⋊Dic61C2311yescharacteristic
214C2×C4⋊Dic61C2311yescharacteristic
215C2×C4⋊Dic61C2311yescharacteristic
216C2×C4⋊Dic61C2311yescharacteristic
217C2×C4⋊Dic61C2311yescharacteristic
218C2×C4⋊Dic61C2311yescharacteristic
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C22⋊Dic61—42no—
227C2×C22⋊Dic61—42no—
228C2×C22⋊Dic61C2311yescharacteristic
229C2×C22⋊Dic61C2311yescharacteristic
230C2×C22⋊Dic61C2311yescharacteristic
231C2×C22⋊Dic61C2311yescharacteristic
232C2×C22⋊Dic61C2311yescharacteristic
233C2×C22⋊Dic61C2311yescharacteristic
234C2×C22⋊Dic61C2311yescharacteristic
235C2×C22⋊Dic61C2311yescharacteristic
236C2×C22⋊Dic61C2311yescharacteristic
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
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×C4×Dic61C2311yescharacteristic
261C2×C4×Dic61C2311yescharacteristic
262C2×C4×Dic61C2311yescharacteristic
263C2×C4×Dic61C2311yescharacteristic
264C2×C4×Dic61C2311yescharacteristic
265C2×C4×Dic61C2311yescharacteristic
266C2×C4×Dic61C2311yescharacteristic
267C2×C4×Dic61C2311yescharacteristic
268C2×C4×Dic61C2311yescharacteristic
269C2×C4×Dic61C2311yescharacteristic
270C2×C4×Dic61C2311yescharacteristic
271C2×C4×Dic61C2311yescharacteristic
272C2×C4×Dic61C2311yescharacteristic
273C2×C4×Dic61C2311yescharacteristic
274C2×C4×Dic61C2311yescharacteristic
275C2×C4×Dic61C2311yescharacteristic
276C2×C4×Dic61C2311yescharacteristic
277C2×C4×Dic61C2311yescharacteristic
278C2×C4×Dic61C2311yescharacteristic
279C2×C4×Dic61C2311yescharacteristic
280#14519684C2311yescharacteristic
281#14519684C2311yescharacteristic
282#14519684C2311yescharacteristic
283#14519684C2311yescharacteristic
284#14519684C2311yescharacteristic
285#14519684C2311yescharacteristic
286#14519684C2311yescharacteristic
287#14519684C2311yescharacteristic
288#14519684C2311yescharacteristic
289#14519684C2311yescharacteristic
290#14519684C2311yescharacteristic
291#14519684C2311yescharacteristic
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
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
320C25×C61C2311yescharacteristic
321C22×Q8×C61C2311yescharacteristic
322C22×D4×C61C2311yescharacteristic
323C22×D4×C61C2311yescharacteristic
324C22×D4×C61C2311yescharacteristic
325C22×D4×C61C2311yescharacteristic
326C22×D4×C61C2311yescharacteristic
327C22×D4×C61C2311yescharacteristic
328C22×D4×C61C2311yescharacteristic
329C23×C4×C61C2311yescharacteristic
330C23×C4×C61C2311yescharacteristic
331C23×C4×C61C2311yescharacteristic
332C23×C4×C61C2311yescharacteristic
333#126×C61C2×C418yescomplemented
334#126×C61C2×C418yescomplemented
335#124×C61C2×C418yescomplemented
336#124×C61C2×C418yescomplemented
337#123×C61C2×C418yescomplemented
338#123×C61C2×C418yescomplemented
339C22⋊Q8×C61C2×C418yescomplemented
340#121×C61C2×C418yescomplemented
341#121×C61C2×C418yescomplemented
342#121×C61C2×C418yescomplemented
343#120×C61C2×C418yescomplemented
344#120×C61C2×C418yescomplemented
345C4×D4×C61C2×C418yescomplemented
346C4×D4×C61C2×C418yescomplemented
347C2×C4⋊C4×C61C2311yescharacteristic
348C2×C4⋊C4×C61C2311yescharacteristic
349C2×C4⋊C4×C61C2311yescharacteristic
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C22⋊C4×C61C2×C418yescomplemented
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
368C2×C42×C61C2311yescharacteristic
369C2×C42×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
381C24×C61C2411yescharacteristic
382C2×Q8×C61—41no—
383C2×Q8×C61—41no—
384C2×Q8×C61C22×C414yes—
385C2×D4×C61—41no—
386C2×D4×C61—41no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C2×D4×C61—41no—
392C2×D4×C61—41no—
393C2×D4×C61—41no—
394C2×D4×C61—41no—
395C2×D4×C61—41no—
396C2×D4×C61—41no—
397C2×D4×C61—41no—
398C2×D4×C61—41no—
399C2×D4×C61C22×C414yes—
400C2×D4×C61C22×C414yes—
401C2×D4×C61C22×C414yes—
402C2×D4×C61C22×C414yes—
403C2×D4×C61C22×C414yes—
404C2×D4×C61C22×C414yes—
405C2×D4×C61C22×C414yes—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61C22×C414yes—
415C22×C4×C61C22×C414yes—
416C22×C4×C61C22×C414yes—
417C22×C4×C61C22×C414yes—
418C22×C4×C61C2411yescharacteristic
419C22×C4×C61C2411yescharacteristic
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×Dic61—22no—
429C22×Dic61—22no—
430C22×Dic61—22no—
431C22×Dic61—41no—
432C22×Dic61—41no—
433C22×Dic61—41no—
434C22×Dic61—41no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61C2411yescharacteristic
453C22×Dic61C2411yescharacteristic
454C22×Dic61C2411yescharacteristic
455C22×Dic61C2411yescharacteristic
456C22×Dic61C2411yescharacteristic
457C22×Dic61C2411yescharacteristic
458C22×Dic61C2411yescharacteristic
459C22×Dic61C2411yescharacteristic
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C4⋊C4×C61C22×C414yes—
469C4⋊C4×C61C22×C414yes—
470C4⋊C4×C61C22×C414yes—
471C4⋊C4×C61C22×C414yes—
472C4⋊C4×C61C22×C414yes—
473C4⋊C4×C61C22×C414yes—
474C22⋊C4×C61C22×C414yes—
475C22⋊C4×C61C22×C414yes—
476C22⋊C4×C61C22×C414yes—
477C22⋊C4×C61C22×C414yes—
478C22⋊C4×C61C22×C414yes—
479C22⋊C4×C61C22×C414yes—
480C22⋊C4×C61C22×C414yes—
481C22⋊C4×C61C22×C414yes—
482C22⋊C4×C61C22×C414yes—
483C22⋊C4×C61C22×C414yes—
484C22⋊C4×C61C22×C414yes—
485C22⋊C4×C61C22×C414yes—
486C22⋊C4×C61C22×C414yes—
487C22⋊C4×C61C22×C414yes—
488C42×C61C22×C414yes—
489C42×C61C22×C414yes—
490C22⋊Dic61—22no—
491C22⋊Dic61—22no—
492C22⋊Dic61—22no—
493C22⋊Dic61—22no—
494C22⋊Dic61—22no—
495C22⋊Dic61—22no—
496C22⋊Dic61—22no—
497C22⋊Dic61—41no—
498C22⋊Dic61—41no—
499C22⋊Dic61—41no—
500C22⋊Dic61—41no—
501C22⋊Dic61—41no—
502C22⋊Dic61—41no—
503C22⋊Dic61—41no—
504C22⋊Dic61—41no—
505C22⋊Dic61—41no—
506C22⋊Dic61—41no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513C22⋊Dic61—41no—
514C22⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C4⋊Dic61—22no—
523C4⋊Dic61—22no—
524C4⋊Dic61—22no—
525C4⋊Dic61—41no—
526C4⋊Dic61—41no—
527C4⋊Dic61—41no—
528C4⋊Dic61—41no—
529C4⋊Dic61—41no—
530C4⋊Dic61—41no—
531C4⋊Dic61—41no—
532C4⋊Dic61—41no—
533C4⋊Dic61—41no—
534C4⋊Dic61—41no—
535C4⋊Dic61—41no—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61—41no—
540C4⋊Dic61—41no—
541C4⋊Dic61—41no—
542C4×Dic61—22no—
543C4×Dic61—22no—
544C4×Dic61—22no—
545C4×Dic61—22no—
546C4×Dic61—22no—
547C4×Dic61—41no—
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×Dic61—41no—
561C4×Dic61—41no—
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—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61—44no—
593C23×C61—44no—
594C23×C61—44no—
595C23×C61—82no—
596C23×C61—82no—
597C23×C61—82no—
598C23×C61—82no—
599C23×C61C23×C412yes—
600C23×C61C23×C412yes—
601C23×C61C23×C412yes—
602C23×C61C23×C412yes—
603C23×C61C23×C412yes—
604C23×C61C2511yescharacteristic
605Q8×C61—44no—
606D4×C61—44no—
607D4×C61—44no—
608D4×C61—44no—
609D4×C61—44no—
610D4×C61—44no—
611D4×C61—44no—
612D4×C61—44no—
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—44no—
634C2×C4×C61—44no—
635C2×C4×C61—44no—
636C2×C4×C61—44no—
637C2×C4×C61C23×C412yes—
638C2×C4×C61C23×C412yes—
639C2×C4×C61C23×C412yes—
640C2×C4×C61C23×C412yes—
641C2×C4×C61C23×C412yes—
642C2×C4×C61C23×C412yes—
643C2×C4×C61C23×C412yes—
644C2×C4×C61C23×C412yes—
645C2×C4×C61C23×C412yes—
646C2×C4×C61C23×C412yes—
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—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—82no—
694C2×Dic61—82no—
695C2×Dic61—82no—
696C2×Dic61—82no—
697C2×Dic61—82no—
698C2×Dic61—82no—
699C2×Dic61—82no—
700C2×Dic61—82no—
701C2×Dic61H(5,𝔽2)12yes—
702C2×Dic61H(5,𝔽2)12yes—
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—22no—
717C22×C61—22no—
718C22×C61—22no—
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—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61—41no—
738C22×C61—41no—
739C22×C61—88no—
740C22×C61C24×C411yescharacteristic
741C22×C61C2×H(5,𝔽2)11yescharacteristic
742C22×C61C2×H(5,𝔽2)11yescharacteristic
743C22×C61#58511yescharacteristic
744C22×C61#58511yescharacteristic
745C22×C61#58511yescharacteristic
746C22×C61#58511yescharacteristic
747C4×C61—22no—
748C4×C61—22no—
749C4×C61—22no—
750C4×C61—22no—
751C4×C61—22no—
752C4×C61—22no—
753C4×C61—22no—
754C4×C61—22no—
755C4×C61—22no—
756C4×C61—22no—
757Dic61—22no—
758Dic61—22no—
759Dic61—41no—
760Dic61—41no—
761Dic61—41no—
762Dic61—41no—
763Dic61—41no—
764Dic61—41no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770Dic61—41no—
771Dic61—41no—
772Dic61—41no—
773C2×#538D6111yescharacteristic
774#2383—611no—
775#2377—611no—
776#2376—611no—
777#2375—611no—
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—42no—
809C2×C61#342811yescharacteristic
810C2×C61C4×H(5,𝔽2)11yescharacteristic
811C2×C61C4×H(5,𝔽2)11yescharacteristic
812C2×C61#354511yescharacteristic
813C2×C61#354611yescharacteristic
814C2×C61#356011yescharacteristic
815C2×C61#356611yescharacteristic
816#538Dic61116yescomplemented
817C2×#126C2×D6111yescharacteristic
818C2×#126C2×D6111yescharacteristic
819C2×#124C2×D6111yescharacteristic
820C2×#124C2×D6111yescharacteristic
821C2×#123C2×D6111yescharacteristic
822C2×#123C2×D6111yescharacteristic
823C2×C22⋊Q8C2×D6111yescharacteristic
824C2×#121C2×D6111yescharacteristic
825C2×#121C2×D6111yescharacteristic
826C2×#121C2×D6111yescharacteristic
827C2×#120C2×D6111yescharacteristic
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×D4C2×D6111yescharacteristic
836C2×C4×D4C2×D6111yescharacteristic
837C2×#117—611no—
838C2×#117—611no—
839C2×#117—611no—
840C2×#117—611no—
841C22×C22⋊C4—611no—
842C22×C22⋊C4—611no—
843C22×C22⋊C4C2×D6111yescharacteristic
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#390—611no—
854#390—611no—
855#390—611no—
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#388—611no—
889#388—611no—
890#388—611no—
891#388—611no—
892#388—611no—
893#388—611no—
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#386—611no—
918#386—611no—
919#386—611no—
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#379—611no—
943#379—611no—
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×Q8C22×D6111yescharacteristic
975C22×D4C22×D6111yescharacteristic
976C22×D4C22×D6111yescharacteristic
977C22×D4C22×D6111yescharacteristic
978C22×D4C22×D6111yescharacteristic
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×C4C22×D6111yescharacteristic
991C23×C4C22×D6111yescharacteristic
992C23×C4C22×D6111yescharacteristic
993C23×C4C22×D6111yescharacteristic
994#126C2×Dic6118yescomplemented
995#126C2×Dic6118yescomplemented
996#124C2×Dic6118yescomplemented
997#124C2×Dic6118yescomplemented
998#123C2×Dic6118yescomplemented
999#123C2×Dic6118yescomplemented
1000C22⋊Q8C2×Dic6118yescomplemented
1001#121C2×Dic6118yescomplemented
1002#121C2×Dic6118yescomplemented
1003#121C2×Dic6118yescomplemented
1004#120C2×Dic6118yescomplemented
1005#120C2×Dic6118yescomplemented
1006C4×Q8—2442no—
1007C4×D4—2442no—
1008C4×D4—2442no—
1009C4×D4—2442no—
1010C4×D4—2442no—
1011C4×D4—2442no—
1012C4×D4C2×Dic6118yescomplemented
1013C4×D4C2×Dic6118yescomplemented
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⋊C4C22×D6111yescharacteristic
1039C2×C4⋊C4C22×D6111yescharacteristic
1040C2×C4⋊C4C22×D6111yescharacteristic
1041C2×C4⋊C4C22×D6111yescharacteristic
1042C2×C4⋊C4C22×D6111yescharacteristic
1043C2×C4⋊C4C22×D6111yescharacteristic
1044C2×C22⋊C4—611no—
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—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—2442no—
1077C2×C22⋊C4—2442no—
1078C2×C22⋊C4C2×Dic6118yescomplemented
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×C42—611no—
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#95—611no—
1150#95—611no—
1151#95—611no—
1152#95—611no—
1153#95—611no—
1154#95—611no—
1155C24—41no—
1156C24—41no—
1157C24—41no—
1158C24—41no—
1159C24—41no—
1160C24—41no—
1161C24C22×Dic6114yes—
1162C24C23×D6111yescharacteristic
1163C24C23×D6111yescharacteristic
1164C24C23×D6111yescharacteristic
1165C24C23×D6111yescharacteristic
1166C24C23×D6111yescharacteristic
1167C2×Q8—41no—
1168C2×Q8—41no—
1169C2×Q8C22×Dic6114yes—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4C22×Dic6114yes—
1185C2×D4C22×Dic6114yes—
1186C2×D4C22×Dic6114yes—
1187C2×D4C22×Dic6114yes—
1188C2×D4C22×Dic6114yes—
1189C2×D4C22×Dic6114yes—
1190C2×D4C22×Dic6114yes—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—611no—
1200C22×C4—611no—
1201C22×C4—611no—
1202C22×C4—611no—
1203C22×C4—611no—
1204C22×C4—611no—
1205C22×C4—611no—
1206C22×C4—611no—
1207C22×C4—611no—
1208C22×C4—611no—
1209C22×C4—611no—
1210C22×C4—611no—
1211C22×C4—611no—
1212C22×C4—611no—
1213C22×C4—611no—
1214C22×C4—611no—
1215C22×C4—1222no—
1216C22×C4—1222no—
1217C22×C4—1222no—
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×C4C22×Dic6114yes—
1240C22×C4C22×Dic6114yes—
1241C22×C4C22×Dic6114yes—
1242C22×C4C22×Dic6114yes—
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—1222no—
1254C4⋊C4—1222no—
1255C4⋊C4—1222no—
1256C4⋊C4—2441no—
1257C4⋊C4—2441no—
1258C4⋊C4—2441no—
1259C4⋊C4—2441no—
1260C4⋊C4—2441no—
1261C4⋊C4—2441no—
1262C4⋊C4—2441no—
1263C4⋊C4—2441no—
1264C4⋊C4—2441no—
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⋊C4C22×Dic6114yes—
1274C4⋊C4C22×Dic6114yes—
1275C4⋊C4C22×Dic6114yes—
1276C4⋊C4C22×Dic6114yes—
1277C4⋊C4C22×Dic6114yes—
1278C4⋊C4C22×Dic6114yes—
1279C22⋊C4—1222no—
1280C22⋊C4—1222no—
1281C22⋊C4—1222no—
1282C22⋊C4—1222no—
1283C22⋊C4—1222no—
1284C22⋊C4—1222no—
1285C22⋊C4—1222no—
1286C22⋊C4—2441no—
1287C22⋊C4—2441no—
1288C22⋊C4—2441no—
1289C22⋊C4—2441no—
1290C22⋊C4—2441no—
1291C22⋊C4—2441no—
1292C22⋊C4—2441no—
1293C22⋊C4—2441no—
1294C22⋊C4—2441no—
1295C22⋊C4—2441no—
1296C22⋊C4—2441no—
1297C22⋊C4—2441no—
1298C22⋊C4—2441no—
1299C22⋊C4—2441no—
1300C22⋊C4—2441no—
1301C22⋊C4—2441no—
1302C22⋊C4—2441no—
1303C22⋊C4—2441no—
1304C22⋊C4—2441no—
1305C22⋊C4—2441no—
1306C22⋊C4—2441no—
1307C22⋊C4—2441no—
1308C22⋊C4—2441no—
1309C22⋊C4—2441no—
1310C22⋊C4—2441no—
1311C22⋊C4C22×Dic6114yes—
1312C22⋊C4C22×Dic6114yes—
1313C22⋊C4C22×Dic6114yes—
1314C22⋊C4C22×Dic6114yes—
1315C22⋊C4C22×Dic6114yes—
1316C22⋊C4C22×Dic6114yes—
1317C22⋊C4C22×Dic6114yes—
1318C22⋊C4C22×Dic6114yes—
1319C22⋊C4C22×Dic6114yes—
1320C22⋊C4C22×Dic6114yes—
1321C22⋊C4C22×Dic6114yes—
1322C22⋊C4C22×Dic6114yes—
1323C22⋊C4C22×Dic6114yes—
1324C22⋊C4C22×Dic6114yes—
1325C42—1222no—
1326C42—1222no—
1327C42—1222no—
1328C42—1222no—
1329C42—1222no—
1330C42—2441no—
1331C42—2441no—
1332C42—2441no—
1333C42—2441no—
1334C42—2441no—
1335C42—2441no—
1336C42—2441no—
1337C42—2441no—
1338C42—2441no—
1339C42—2441no—
1340C42—2441no—
1341C42—2441no—
1342C42—2441no—
1343C42—2441no—
1344C42—2441no—
1345C42C22×Dic6114yes—
1346C42C22×Dic6114yes—
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—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—44no—
1378C23—44no—
1379C23—44no—
1380C23—82no—
1381C23—82no—
1382C23—82no—
1383C23—82no—
1384C23C23×Dic6112yes—
1385C23C23×Dic6112yes—
1386C23C23×Dic6112yes—
1387C23C23×Dic6112yes—
1388C23C23×Dic6112yes—
1389C23C24×D6111yescharacteristic
1390Q8—44no—
1391D4—44no—
1392D4—44no—
1393D4—44no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
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—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—612no—
1423C2×C4—612no—
1424C2×C4—1221no—
1425C2×C4—1221no—
1426C2×C4—1221no—
1427C2×C4—1221no—
1428C2×C4—1221no—
1429C2×C4—1221no—
1430C2×C4—1221no—
1431C2×C4—1221no—
1432C2×C4—1221no—
1433C2×C4—1221no—
1434C2×C4—1221no—
1435C2×C4—1221no—
1436C2×C4—1221no—
1437C2×C4—1221no—
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—4882no—
1471C2×C4—4882no—
1472C2×C4—4882no—
1473C2×C4—4882no—
1474C2×C4—4882no—
1475C2×C4—4882no—
1476C2×C4—4882no—
1477C2×C4—4882no—
1478C2×C4C23×Dic6112yes—
1479C2×C4C23×Dic6112yes—
1480C2×C4C23×Dic6112yes—
1481C2×C4C23×Dic6112yes—
1482C2×C4C23×Dic6112yes—
1483C2×C4C23×Dic6112yes—
1484C2×C4C23×Dic6112yes—
1485C2×C4C23×Dic6112yes—
1486C2×C4C23×Dic6112yes—
1487C2×C4C23×Dic6112yes—
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—22no—
1501C22—22no—
1502C22—22no—
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—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—88no—
1524C22C24×Dic6111yescharacteristic
1525C22H(5,𝔽2)×D6111yescharacteristic
1526C22H(5,𝔽2)×D6111yescharacteristic
1527C22#1684059711yescharacteristic
1528C22#1684059711yescharacteristic
1529C22#1684059811yescharacteristic
1530C22#1684059811yescharacteristic
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—1222no—
1542C4—1222no—
1543C4—2441no—
1544C4—2441no—
1545C4—2441no—
1546C4—2441no—
1547C4—2441no—
1548C4—2441no—
1549C4—2441no—
1550C4—2441no—
1551C4—2441no—
1552C4—2441no—
1553C4—2441no—
1554C4—2441no—
1555C4—2441no—
1556C4—2441no—
1557C2—42no—
1558C2—42no—
1559C2—42no—
1560C2—42no—
1561C2—42no—
1562C2#2145902211yescharacteristic
1563C2H(5,𝔽2)×Dic6111yescharacteristic
1564C2H(5,𝔽2)×Dic6111yescharacteristic
1565C2#2146017011yescharacteristic
1566C2#2146018411yescharacteristic
1567C2#2146036011yescharacteristic
1568C2#2146048611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
Fitting, prime radicalC2×C61×#538C2
socle, cosocleC23×C61C25
hypercenterC2×#538D61
hypocenterC61#34446
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #21449011C2semidirect
2. #21448976C2semidirect
3. #21448967C2semidirect
4. #21448960C2semidirect
5. #21448955C2semidirect
6. #21448943C2semidirect
7. #21448871C2semidirect
8. #21448861C2semidirect
9. #21448861C2semidirect
10. #21448815C2semidirect
11. #21448815C2semidirect
12. #21448803C2semidirect
13. #21448768C2semidirect
14. #21448759C2semidirect
15. #21448668C2semidirect
16. #21448668C2semidirect
17. #21448634C2semidirect
18. #21448634C2semidirect
19. #21448598C2semidirect
20. #21448577C2semidirect
21. #21448532C2semidirect
22. #21448524C2semidirect
23. #21448514C2semidirect
24. #21448503C2semidirect
25. #21448480C2semidirect
26. #21448480C2semidirect
27. #21448452C2semidirect
28. #126×Dic61C2semidirect
29. #124×Dic61C2semidirect
30. #21448284C2semidirect
32. C2×Q8×Dic61C22semidirect
37. C2×D4×Dic61C22semidirect
40. C2×#14519736C22semidirect
41. C2×#14519736C22semidirect
44. #16839669C22semidirect
45. #16839669C22semidirect
46. #16839669C22semidirect
55. #16839665C22semidirect
56. #16839661C22semidirect
57. #16839661C22semidirect
58. #16839661C22semidirect
59. #16839661C22semidirect
60. #16839661C22semidirect
61. #16839661C22semidirect
86. #16839655C22semidirect
87. #16839655C22semidirect
88. #16839655C22semidirect
89. #16839655C22semidirect
90. #16839655C22semidirect
91. #16839655C22semidirect
92. #16839655C22semidirect
93. #16839655C22semidirect
94. #16839648C22semidirect
95. #16839648C22semidirect
96. #16839648C22semidirect
97. #16839648C22semidirect
98. #16839648C22semidirect
99. #16839648C22semidirect
100. #16839648C22semidirect
101. #16839648C22semidirect
102. #16839648C22semidirect
103. #16839648C22semidirect
104. #16839648C22semidirect
105. #16839648C22semidirect
118. #16839642C22semidirect
119. #16839642C22semidirect
128. #16839637C22semidirect
129. #16839637C22semidirect
130. #16839637C22semidirect
131. #16839637C22semidirect
132. #16839632C22semidirect
133. #16839630C22semidirect
134. #16839630C22semidirect
135. #16839628C22semidirect
140. #16839622C22semidirect
141. #16839622C22semidirect
144. C4⋊C4×Dic61C22semidirect
145. C4⋊C4×Dic61C22semidirect
146. C4⋊C4×Dic61C22semidirect
147. C4⋊C4×Dic61C22semidirect
148. C4⋊C4×Dic61C22semidirect
149. C4⋊C4×Dic61C22semidirect
150. C4×C4⋊Dic61C22semidirect
151. C4×C4⋊Dic61C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
166. C4×C22⋊Dic61C22semidirect
167. C4×C22⋊Dic61C22semidirect
168. #16839608C22semidirect
169. C2×#14519684C22semidirect
170. C2×#14519684C22semidirect
171. C42×Dic61C22semidirect
172. C61×#538C4semidirect
333. #126×C61C2×C4semidirect
334. #126×C61C2×C4semidirect
335. #124×C61C2×C4semidirect
336. #124×C61C2×C4semidirect
337. #123×C61C2×C4semidirect
338. #123×C61C2×C4semidirect
339. C22⋊Q8×C61C2×C4semidirect
340. #121×C61C2×C4semidirect
341. #121×C61C2×C4semidirect
342. #121×C61C2×C4semidirect
343. #120×C61C2×C4semidirect
344. #120×C61C2×C4semidirect
345. C4×D4×C61C2×C4semidirect
346. C4×D4×C61C2×C4semidirect
353. C2×C22⋊C4×C61C2×C4semidirect
816. #538Dic61semidirect
972. C61#34446semidirect
994. #126C2×Dic61semidirect
995. #126C2×Dic61semidirect
996. #124C2×Dic61semidirect
997. #124C2×Dic61semidirect
998. #123C2×Dic61semidirect
999. #123C2×Dic61semidirect
1000. C22⋊Q8C2×Dic61semidirect
1001. #121C2×Dic61semidirect
1002. #121C2×Dic61semidirect
1003. #121C2×Dic61semidirect
1004. #120C2×Dic61semidirect
1005. #120C2×Dic61semidirect
1012. C4×D4C2×Dic61semidirect
1013. C4×D4C2×Dic61semidirect
1078. C2×C22⋊C4C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
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#214488712
#214488612
#214488152
#214488032
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#214485982
#214485772
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#214485032
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#214484522
#126×Dic612
#124×Dic612
#214482842
C2×C61×#5382
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