Finite Group Databasebeta

← #29887372

Subgroups — #29887372

Order 15616.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840326C211yesmaximal, characteristic, complemented
2C2×#16840323C211yesmaximal, characteristic, complemented
3#21454100C211yesmaximal, characteristic, complemented
4#21454098C211yesmaximal, characteristic, complemented
5#21452661C211yesmaximal, characteristic, complemented
6#21452553C211yesmaximal, characteristic, complemented
7#21452540C211yesmaximal, characteristic, complemented
8#21452538C211yesmaximal, characteristic, complemented
9#21452258C211yesmaximal, characteristic, complemented
10#21452256C211yesmaximal, characteristic, complemented
11#21452232C211yesmaximal, characteristic, complemented
12#21452230C211yesmaximal, characteristic, complemented
13#21452202C211yesmaximal, characteristic, complemented
14#21452092C211yesmaximal, characteristic, complemented
15#21452090C211yesmaximal, characteristic, complemented
16#21452058C211yesmaximal, characteristic, complemented
17#21452056C211yesmaximal, characteristic, complemented
18#21452038C211yesmaximal, characteristic, complemented
19#21452025C211yesmaximal, characteristic, complemented
20#21452024C211yesmaximal, characteristic, complemented
21#21451559C211yesmaximal, characteristic, complemented
22#21451555C211yesmaximal, characteristic, complemented
23#21450265C211yesmaximal, characteristic, complemented
24#21450263C211yesmaximal, characteristic, complemented
25#21449423C211yesmaximal, characteristic, complemented
26#21449214C211yesmaximal, characteristic, complemented
27#21449214C211yesmaximal, characteristic, complemented
28#21449190C211yesmaximal, characteristic, complemented
29#21449190C211yesmaximal, characteristic, complemented
30C2×#16839640C211yesmaximal, characteristic, complemented
31C61×#2430C211yesmaximal, characteristic, complemented
32C23×D244C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic, complemented
35#16840326—28no—
36#16840323—28no—
37C2×#14519773C2211yescharacteristic
38C2×#14519773C2211yescharacteristic, complemented
39C2×#14519766C2211yescharacteristic
40C2×#14519766C2211yescharacteristic, complemented
41C2×#14519762C2211yescharacteristic
42C2×#14519762C2211yescharacteristic
43C2×#14519760C2211yescharacteristic
44C2×#14519759C2211yescharacteristic, complemented
45C2×#14519759C2211yescharacteristic, complemented
46C2×#14519752C2211yescharacteristic
47C2×#14519752C2211yescharacteristic
48C2×#14519751C2211yescharacteristic
49C2×#14519751C2211yescharacteristic
50C2×#14519751C2211yescharacteristic, complemented
51C2×#14519751C2211yescharacteristic, complemented
52C2×#14519750C2211yescharacteristic
53C2×#14519750C2211yescharacteristic
54C2×#14519750C2211yescharacteristic, complemented
55C2×#14519750C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic
58C2×#14519748C2211yescharacteristic, complemented
59C2×#14519748C2211yescharacteristic, complemented
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×#14519747C2211yescharacteristic
63C2×#14519745C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×#14519745C2211yescharacteristic, complemented
67C2×#14519745C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic, complemented
69C2×#14519745C2211yescharacteristic, complemented
70C2×#14519736C2211yescharacteristic, complemented
71C22×#11758198C2211yescharacteristic
72C22×#11758198C2211yescharacteristic
73C22×#11758198C2211yescharacteristic, complemented
74C2×C22⋊C4×D61C2211yescharacteristic
75#16839702C2211yescharacteristic, complemented
76#16839701C2211yescharacteristic, complemented
77#16839699C2211yescharacteristic, complemented
78#16839698C2211yescharacteristic, complemented
79#16839694C2211yescharacteristic, complemented
80#16839692C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839691C2211yescharacteristic, complemented
83#16839691C2211yescharacteristic, complemented
84#16839691C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic, complemented
86#16839689C2211yescharacteristic, complemented
87#16839689C2211yescharacteristic, complemented
88#16839688C2211yescharacteristic, complemented
89#16839688C2211yescharacteristic, complemented
90#16839687C2211yescharacteristic, complemented
91#16839681C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic, complemented
95#16839679C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839678C2211yescharacteristic, complemented
99#16839678C2211yescharacteristic, complemented
100#16839678C2211yescharacteristic, complemented
101#16839678C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839677C2211yescharacteristic, complemented
105#16839677C2211yescharacteristic, complemented
106#16839677C2211yescharacteristic, complemented
107#16839677C2211yescharacteristic, complemented
108#16839676C2211yescharacteristic, complemented
109#16839673C2211yescharacteristic, complemented
110#16839671C2211yescharacteristic, complemented
111#16839671C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic, complemented
114#16839670C2211yescharacteristic, complemented
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839670C2211yescharacteristic, complemented
118#16839670C2211yescharacteristic, complemented
119#16839654C2211yescharacteristic, complemented
120#16839654C2211yescharacteristic, complemented
121#16839650C2211yescharacteristic, complemented
122#16839650C2211yescharacteristic, complemented
123#16839647C2211yescharacteristic, complemented
124#16839647C2211yescharacteristic, complemented
125#16839643C2211yescharacteristic, complemented
126#16839643C2211yescharacteristic, complemented
127#16839642C2211yescharacteristic
128#16839642C2211yescharacteristic
129#16839642C2211yescharacteristic, complemented
130#16839642C2211yescharacteristic, complemented
131#16839641C2211yescharacteristic
132#16839641C2211yescharacteristic
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic
137#16839640C2211yescharacteristic
138#16839640C2211yescharacteristic
139#16839640C2211yescharacteristic, complemented
140#16839640C2211yescharacteristic, complemented
141#16839640C2211yescharacteristic, complemented
142#16839640C2211yescharacteristic, complemented
143#16839640C2211yescharacteristic, complemented
144#16839640C2211yescharacteristic, complemented
145#16839638C2211yescharacteristic, complemented
146#16839638C2211yescharacteristic, complemented
147#16839638C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic, complemented
149#16839638C2211yescharacteristic, complemented
150#16839638C2211yescharacteristic, complemented
151#16839638C2211yescharacteristic, complemented
152#16839638C2211yescharacteristic, complemented
153#16839638C2211yescharacteristic, complemented
154#16839638C2211yescharacteristic, complemented
155#16839636C2211yescharacteristic, complemented
156#16839636C2211yescharacteristic, complemented
157#16839635C2211yescharacteristic, complemented
158#16839635C2211yescharacteristic, complemented
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839624C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic, complemented
163#16839622C2211yescharacteristic, complemented
164#16839622C2211yescharacteristic, complemented
165#16839621C2211yescharacteristic, complemented
166#16839621C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839620C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839619C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C22×#41×C61C2211yescharacteristic, complemented
175C2×#123×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#121×C61C2211yescharacteristic
178C61×#395C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#393C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic, complemented
183C61×#386C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#385C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C2×#95×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×D244—42no—
193C22×D244—42no—
194C22×D244D418yescomplemented
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C2×D4×D61—24no—
217C2×D4×D61—42no—
218C2×D4×D61—42no—
219C23×Dic61C2311yescharacteristic
220C23×Dic61C2311yescharacteristic
221C22×C4×D61—42no—
222C22×C4×D61—42no—
223C22×C4×D61—42no—
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231#14519773—24no—
232#14519773—24no—
233#14519766—24no—
234#14519766—24no—
235#14519762—24no—
236#14519762—24no—
237#14519760—24no—
238#14519759—42no—
239#14519759—42no—
240#14519752—24no—
241#14519752—24no—
242#14519751—24no—
243#14519751—24no—
244#14519751—24no—
245#14519751—24no—
246#14519750—24no—
247#14519750—24no—
248#14519750—42no—
249#14519750—42no—
250#14519749—42no—
251#14519749—42no—
252#14519748—42no—
253#14519748—42no—
254#14519747—24no—
255#14519747—24no—
256#14519747—24no—
257#14519745—24no—
258#14519745—24no—
259#14519745—24no—
260#14519745—24no—
261#14519745—24no—
262#14519745—42no—
263#14519745—42no—
264#14519736—24no—
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×C4⋊Dic61C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×#11758198—42no—
293C2×#11758198—42no—
294C2×#11758198—42no—
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C22⋊C4×D61—24no—
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356C2×#41×C61—24no—
357C2×#41×C61—42no—
358C2×#41×C61—42no—
359C22×Q8×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367C23×C4×C61C2311yescharacteristic
368C23×C4×C61C2311yescharacteristic
369C23×C4×C61C2311yescharacteristic
370C23×C4×C61C2311yescharacteristic
371#123×C61—24no—
372#121×C61—42no—
373#121×C61—42no—
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C4⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391#95×C61C2311yescharacteristic
392#95×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61C2411yescharacteristic
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—22no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61—41no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61C2×D414yes—
421C23×D61C2×D414yes—
422C23×D61C2411yescharacteristic
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427#41×C61—416no—
428C2×Q8×C61—22no—
429C2×Q8×C61—41no—
430C2×Q8×C61—41no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—22no—
439C2×D4×C61—22no—
440C2×D4×C61—22no—
441C2×D4×C61—22no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—22no—
452C22×C4×C61—22no—
453C22×C4×C61—22no—
454C22×C4×C61—22no—
455C22×C4×C61—22no—
456C22×C4×C61—41no—
457C22×C4×C61—41no—
458C22×C4×C61—41no—
459C22×C4×C61—41no—
460C22×C4×C61—41no—
461C22×C4×C61—41no—
462C22×C4×C61—41no—
463C22×C4×C61C2×D414yes—
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C22×C4×C61C2411yescharacteristic
469C22×C4×C61C2411yescharacteristic
470C22×C4×C61C2411yescharacteristic
471C22×C4×C61C2411yescharacteristic
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—22no—
487C2×C22⋊D61—22no—
488C2×C22⋊D61—22no—
489C2×C22⋊D61—22no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—41no—
509C2×C22⋊D61—41no—
510C2×C22⋊D61—41no—
511C2×C22⋊D61—41no—
512C2×C22⋊D61—41no—
513C2×C22⋊D61—41no—
514C2×C22⋊D61—41no—
515C2×C22⋊D61—41no—
516C2×C22⋊D61—41no—
517C22×Dic61—22no—
518C22×Dic61—22no—
519C22×Dic61—22no—
520C22×Dic61—41no—
521C22×Dic61—41no—
522C22×Dic61—41no—
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530C22×Dic61C2411yescharacteristic
531C22×Dic61C2411yescharacteristic
532C22×Dic61C2411yescharacteristic
533C22×Dic61C2411yescharacteristic
534D4×D61—416no—
535C2×D244—22no—
536C2×D244—22no—
537C2×D244—22no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244—416no—
541C2×D244—41no—
542C2×D244—41no—
543C2×D244—41no—
544C2×D244—41no—
545C2×D244—41no—
546C2×D244—41no—
547C2×D244—41no—
548C2×D244—41no—
549C2×D244—41no—
550C2×D244—41no—
551C2×D244—41no—
552C2×D244—41no—
553C2×D244C2×D414yes—
554C2×D244C2×D414yes—
555C2×D244C2×D414yes—
556C2×D244C2×D414yes—
557C2×C4×D61—22no—
558C2×C4×D61—22no—
559C2×C4×D61—22no—
560C2×C4×D61—22no—
561C2×C4×D61—22no—
562C2×C4×D61—22no—
563C2×C4×D61—22no—
564C2×C4×D61—41no—
565C2×C4×D61—41no—
566C2×C4×D61—41no—
567C2×C4×D61—41no—
568C2×C4×D61—41no—
569C2×C4×D61—41no—
570C2×C4×D61—41no—
571C2×C4×D61—41no—
572C2×C4×D61—41no—
573C2×C4×D61—41no—
574C2×C4×D61—416no—
575C2×C4×D61—41no—
576C2×C4×D61—41no—
577C2×C4×D61—41no—
578C2×C4×D61—41no—
579C4⋊C4×C61—22no—
580C4⋊C4×C61—22no—
581C4⋊C4×C61—41no—
582C4⋊C4×C61—41no—
583C22⋊C4×C61—22no—
584C22⋊C4×C61—22no—
585C22⋊C4×C61—22no—
586C22⋊C4×C61—22no—
587C22⋊C4×C61—41no—
588C22⋊C4×C61—41no—
589C22⋊C4×C61—41no—
590C22⋊C4×C61—41no—
591C22⋊C4×C61—41no—
592C22⋊C4×C61—41no—
593C22⋊C4×C61—41no—
594C22⋊Dic61—22no—
595C22⋊Dic61—22no—
596C22⋊Dic61—22no—
597C22⋊Dic61—22no—
598C22⋊Dic61—22no—
599C22⋊Dic61—41no—
600C22⋊Dic61—41no—
601C22⋊Dic61—41no—
602C22⋊Dic61—41no—
603C22⋊Dic61—41no—
604C22⋊Dic61—41no—
605C22⋊Dic61—41no—
606C22⋊Dic61—41no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—22no—
615#11758198—22no—
616#11758198—22no—
617#11758198—22no—
618#11758198—22no—
619#11758198—22no—
620#11758198—22no—
621#11758198—22no—
622#11758198—22no—
623#11758198—22no—
624#11758198—22no—
625#11758198—22no—
626#11758198—22no—
627#11758198—22no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198—41no—
633#11758198—41no—
634#11758198—41no—
635#11758198—41no—
636#11758198—41no—
637#11758198—41no—
638#11758198—41no—
639#11758198—41no—
640#11758198—41no—
641C4⋊Dic61—22no—
642C4⋊Dic61—22no—
643C4⋊Dic61—22no—
644C4⋊Dic61—41no—
645C4⋊Dic61—41no—
646C4⋊Dic61—41no—
647#11758196—22no—
648#11758196—22no—
649#11758196—22no—
650#11758196—41no—
651#11758196—41no—
652#11758196—41no—
653#11758196—41no—
654#11758196—41no—
655C4×Dic61—22no—
656C4×Dic61—22no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61—21no—
681C23×C61—21no—
682C23×C61C22×D412yes—
683C23×C61H(5,𝔽2)12yes—
684C23×C61H(5,𝔽2)12yes—
685C23×C61C2511yescharacteristic
686C22×D61—28no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—21no—
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—28no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—44no—
723C22×D61—44no—
724C22×D61—44no—
725C22×D61—44no—
726C22×D61—44no—
727C22×D61—44no—
728C22×D61—82no—
729C22×D61—82no—
730C22×D61—82no—
731C22×D61—82no—
732C22×D61—82no—
733C22×D61—82no—
734C22×D61—82no—
735C22×D61—82no—
736C22×D61—82no—
737C22×D61—82no—
738C22×D61C22×D412yes—
739C22×D61C22×D412yes—
740C22×D61C22×D412yes—
741C22×D61C22×D412yes—
742Q8×C61—44no—
743D4×C61—44no—
744D4×C61—44no—
745D4×C61—44no—
746D4×C61—44no—
747D4×C61—82no—
748D4×C61—82no—
749C2×C4×C61—28no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—44no—
781C2×C4×C61—44no—
782C2×C4×C61—44no—
783C2×C4×C61—82no—
784C2×C4×C61C22×D412yes—
785C2×C4×C61C22×D412yes—
786C2×C4×C61H(5,𝔽2)12yes—
787C22⋊D61—44no—
788C22⋊D61—44no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C22⋊D61—82no—
793C22⋊D61—82no—
794C22⋊D61—82no—
795C22⋊D61—82no—
796C22⋊D61—82no—
797C22⋊D61—82no—
798C22⋊D61—82no—
799C22⋊D61—82no—
800C22⋊D61—82no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—21no—
828C2×Dic61—21no—
829C2×Dic61—21no—
830C2×Dic61—21no—
831C2×Dic61—21no—
832C2×Dic61—21no—
833C2×Dic61—44no—
834C2×Dic61—82no—
835C2×Dic61H(5,𝔽2)12yes—
836D244—44no—
837D244—44no—
838D244—44no—
839D244—44no—
840D244—44no—
841D244—82no—
842D244—82no—
843C4×D61—44no—
844C4×D61—44no—
845C4×D61—44no—
846C4×D61—44no—
847C4×D61—44no—
848C4×D61—82no—
849C4×D61—82no—
850#36737—611nomaximal, Sylow
851C22×C61—22no—
852C22×C61—22no—
853C22×C61—22no—
854C22×C61—22no—
855C22×C61—22no—
856C22×C61—22no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61#53414yes—
879C22×C61C23×D411yescharacteristic
880C22×C61C2×H(5,𝔽2)11yescharacteristic
881C22×C61C2×H(5,𝔽2)11yescharacteristic
882C22×C61C2×H(5,𝔽2)11yescharacteristic
883C22×C61C2×H(5,𝔽2)11yescharacteristic
884C22×C61#58511yescharacteristic
885C22×C61#58511yescharacteristic
886C2×D61—22no—
887C2×D61—22no—
888C2×D61—22no—
889C2×D61—22no—
890C2×D61—22no—
891C2×D61—22no—
892C2×D61—22no—
893C2×D61—22no—
894C2×D61—22no—
895C2×D61—22no—
896C2×D61—22no—
897C2×D61—22no—
898C2×D61—416no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—88no—
923C2×D61—88no—
924C4×C61—22no—
925C4×C61—22no—
926C4×C61—22no—
927C4×C61—41no—
928C4×C61—41no—
929C4×C61—41no—
930C4×C61—41no—
931C4×C61—41no—
932C4×C61—41no—
933C4×C61—41no—
934C4×C61—41no—
935Dic61—22no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940Dic61—41no—
941Dic61—41no—
942Dic61—41no—
943Dic61—41no—
944Dic61—41no—
945Dic61—41no—
946C2×#535—611no—
947C2×#534—611no—
948#2847—611no—
949#2847—611no—
950#2717—611no—
951#2709—611no—
952#2708—611no—
953#2708—611no—
954#2688—611no—
955#2688—611no—
956#2686—611no—
957#2686—611no—
958#2684—611no—
959#2673—611no—
960#2673—611no—
961#2671—611no—
962#2671—611no—
963#2669—611no—
964#2668—611no—
965#2668—611no—
966#2617—611no—
967#2617—611no—
968#2498—611no—
969#2498—611no—
970#2430—611no—
971#2430D6111yescharacteristic, complemented
972#2412—611no—
973#2412—611no—
974#2410—611no—
975#2410—611no—
976C2×#386—611no—
977C2×C61—24no—
978C2×C61—81no—
979C2×C61—81no—
980C2×C61—81no—
981C2×C61C2×#53411yescharacteristic
982C2×C61#349611yescharacteristic
983C2×C61#349611yescharacteristic
984C2×C61#353211yescharacteristic
985C2×C61#353311yescharacteristic
986C2×C61#354211yescharacteristic
987C2×C61#354211yescharacteristic
988D61—42no—
989D61—42no—
990D61—42no—
991D61—42no—
992D61—81no—
993C22×#41C2×D6111yescharacteristic, complemented
994C23×D4—611no—
995C23×D4—611no—
996C24×C4—611no—
997#535—1228no—
998#534—1228no—
999C2×#127—611no—
1000C2×#127—611no—
1001C2×#124—611no—
1002C2×#124—611no—
1003C2×#123—611no—
1004C2×#123—611no—
1005C2×#123—611no—
1006C2×#123—611no—
1007C2×#123—611no—
1008C2×#123C2×D6111yescharacteristic
1009C2×#121—611no—
1010C2×#121—611no—
1011C2×#121—611no—
1012C2×#121—611no—
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121—611no—
1018C2×#121—611no—
1019C2×#121—611no—
1020C2×#121—611no—
1021C2×#121—611no—
1022C2×#121—611no—
1023C2×#121C2×D6111yescharacteristic
1024C2×#121C2×D6111yescharacteristic
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C2×#120—611no—
1031C2×#120—611no—
1032C2×#120—611no—
1033C2×#120—611no—
1034C2×#120—611no—
1035C2×#117—611no—
1036C22×C22⋊C4—611no—
1037C22×C22⋊C4—611no—
1038C22×C22⋊C4—611no—
1039C22×C22⋊C4—611no—
1040#400—611no—
1041#400—611no—
1042#399—611no—
1043#399—611no—
1044#398—611no—
1045#398—611no—
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397—611no—
1050#397—611no—
1051#397—611no—
1052#397—611no—
1053#397—611no—
1054#397—611no—
1055#397—611no—
1056#395—611no—
1057#395C2×D6111yescharacteristic, complemented
1058#394—611no—
1059#394—611no—
1060#394—611no—
1061#394—611no—
1062#394—611no—
1063#394—611no—
1064#394—611no—
1065#394—611no—
1066#394—611no—
1067#394—611no—
1068#394—611no—
1069#394—611no—
1070#394—611no—
1071#394—611no—
1072#394—611no—
1073#394—611no—
1074#394—611no—
1075#394C2×D6111yescharacteristic, complemented
1076#393—611no—
1077#393C2×D6111yescharacteristic, complemented
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392—611no—
1085#392—611no—
1086#392—611no—
1087#392C2×D6111yescharacteristic, complemented
1088#388—611no—
1089#388—611no—
1090#388—611no—
1091#388—611no—
1092#387—611no—
1093#387—611no—
1094#387—611no—
1095#387—611no—
1096#386—611no—
1097#386—611no—
1098#386—611no—
1099#386—611no—
1100#386—611no—
1101#386—611no—
1102#386—611no—
1103#386—611no—
1104#386—611no—
1105#386—611no—
1106#386—611no—
1107#386—611no—
1108#386—611no—
1109#386—611no—
1110#386—611no—
1111#386—611no—
1112#386—611no—
1113#386—611no—
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386—611no—
1124#386C2×D6111yescharacteristic, complemented
1125#386C2×D6111yescharacteristic, complemented
1126#386C2×D6111yescharacteristic, complemented
1127#386C2×D6111yescharacteristic, complemented
1128#385—611no—
1129#385—611no—
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#385C2×D6111yescharacteristic, complemented
1135#385C2×D6111yescharacteristic, complemented
1136#381—611no—
1137#381—611no—
1138#380—611no—
1139#380—611no—
1140#380—611no—
1141#380—611no—
1142#380—611no—
1143#380—611no—
1144#380—611no—
1145#380—611no—
1146#379—611no—
1147#379—611no—
1148C2×#95—611no—
1149C2×#95C2×D6111yescharacteristic, complemented
1150C61#3673711yescharacteristic, complemented, Sylow
1151C25—611no—
1152C25—611no—
1153C25—611no—
1154C2×#41—24no—
1155C2×#41—42no—
1156C2×#41—42no—
1157C22×Q8C22×D6111yescharacteristic
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4—611no—
1172C22×D4—618no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—1224no—
1181C22×D4—2442no—
1182C22×D4—2442no—
1183C22×D4—2442no—
1184C22×D4—2442no—
1185C22×D4C22×D6111yescharacteristic
1186C22×D4C22×D6111yescharacteristic
1187C22×D4C22×D6111yescharacteristic
1188C22×D4C22×D6111yescharacteristic
1189C22×D4C22×D6111yescharacteristic
1190C22×D4C22×D6111yescharacteristic
1191C23×C4—611no—
1192C23×C4—611no—
1193C23×C4—611no—
1194C23×C4—611no—
1195C23×C4—611no—
1196C23×C4—611no—
1197C23×C4—611no—
1198C23×C4—611no—
1199C23×C4—611no—
1200C23×C4—2442no—
1201C23×C4—2442no—
1202C23×C4—2442no—
1203C23×C4C22×D6111yescharacteristic
1204C23×C4C22×D6111yescharacteristic
1205C23×C4C22×D6111yescharacteristic
1206C23×C4C22×D6111yescharacteristic
1207C23×C4C22×D6111yescharacteristic
1208#127—1224no—
1209#127—1224no—
1210#124—1224no—
1211#124—1224no—
1212#123—24no—
1213#123—1224no—
1214#123—1224no—
1215#123—1224no—
1216#123—2442no—
1217#123—2442no—
1218#121—42no—
1219#121—42no—
1220#121—1224no—
1221#121—1224no—
1222#121—1224no—
1223#121—1224no—
1224#121—1224no—
1225#121—1224no—
1226#121—1224no—
1227#121—1224no—
1228#121—2442no—
1229#121—2442no—
1230#121—2442no—
1231#121—2442no—
1232#121—2442no—
1233#121—2442no—
1234#120—1224no—
1235#120—1224no—
1236#120—1224no—
1237#120—1224no—
1238#120—1224no—
1239#120—1224no—
1240#120—1224no—
1241#120—1224no—
1242#120—2442no—
1243#120—2442no—
1244#117—1224no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4—611no—
1250C2×C4⋊C4—611no—
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—611no—
1255C2×C4⋊C4—611no—
1256C2×C4⋊C4—611no—
1257C2×C4⋊C4—611no—
1258C2×C4⋊C4—611no—
1259C2×C4⋊C4C22×D6111yescharacteristic
1260C2×C4⋊C4C22×D6111yescharacteristic
1261C2×C4⋊C4C22×D6111yescharacteristic
1262C2×C4⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—611no—
1309C2×C22⋊C4—611no—
1310C2×C22⋊C4—1224no—
1311C2×C22⋊C4—2442no—
1312C2×C22⋊C4—2442no—
1313C2×C22⋊C4—2442no—
1314C2×C22⋊C4C22×D6111yescharacteristic
1315C2×C22⋊C4C22×D6111yescharacteristic
1316C2×C22⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4C22×D6111yescharacteristic
1321C2×C22⋊C4C22×D6111yescharacteristic
1322C2×C22⋊C4C22×D6111yescharacteristic
1323C2×C22⋊C4C22×D6111yescharacteristic
1324C2×C22⋊C4C22×D6111yescharacteristic
1325C2×C42—611no—
1326C2×C42—611no—
1327#95—611no—
1328#95—611no—
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335#95—611no—
1336#95—611no—
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95—611no—
1348#95—611no—
1349#95—611no—
1350#95—611no—
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353#95C22×D6111yescharacteristic
1354#95C22×D6111yescharacteristic
1355#95C22×D6111yescharacteristic
1356#95C22×D6111yescharacteristic
1357#95C22×D6111yescharacteristic
1358#95C22×D6111yescharacteristic
1359C24—611no—
1360C24—611no—
1361C24—611no—
1362C24—611no—
1363C24—614no—
1364C24—614no—
1365C24—611no—
1366C24—1222no—
1367C24—1222no—
1368C24—1222no—
1369C24—1222no—
1370C24—1222no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24—2441no—
1378C24—2441no—
1379C24—2441no—
1380C24—2441no—
1381C24—2441no—
1382C24—2441no—
1383C24—2441no—
1384C24—2441no—
1385C24C23×D6111yescharacteristic
1386C24C23×D6111yescharacteristic
1387C24C23×D6111yescharacteristic
1388C24C23×D6111yescharacteristic
1389#41—416no—
1390C2×Q8—22no—
1391C2×Q8—41no—
1392C2×Q8—41no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—614no—
1412C2×D4—614no—
1413C2×D4—614no—
1414C2×D4—614no—
1415C2×D4—1222no—
1416C2×D4—1222no—
1417C2×D4—1222no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—1222no—
1422C2×D4—1222no—
1423C2×D4—1222no—
1424C2×D4—1222no—
1425C2×D4—1222no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—1222no—
1429C2×D4—1222no—
1430C2×D4—1222no—
1431C2×D4—1222no—
1432C2×D4—1222no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—24416no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—2441no—
1452C2×D4—2441no—
1453C2×D4—2441no—
1454C2×D4—2441no—
1455C2×D4—2441no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4—2441no—
1462C2×D4—2441no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—2441no—
1468C2×D4—2441no—
1469C2×D4—2441no—
1470C2×D4—2441no—
1471C2×D4—2441no—
1472C2×D4—2441no—
1473C2×D4—2441no—
1474C2×D4—2441no—
1475C2×D4—24416no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—41no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—611no—
1493C22×C4—611no—
1494C22×C4—611no—
1495C22×C4—611no—
1496C22×C4—611no—
1497C22×C4—611no—
1498C22×C4—611no—
1499C22×C4—611no—
1500C22×C4—611no—
1501C22×C4—1222no—
1502C22×C4—1222no—
1503C22×C4—1222no—
1504C22×C4—1222no—
1505C22×C4—1222no—
1506C22×C4—1222no—
1507C22×C4—1222no—
1508C22×C4—1222no—
1509C22×C4—1222no—
1510C22×C4—1222no—
1511C22×C4—2441no—
1512C22×C4—2441no—
1513C22×C4—2441no—
1514C22×C4—2441no—
1515C22×C4—2441no—
1516C22×C4—2441no—
1517C22×C4—2441no—
1518C22×C4—2441no—
1519C22×C4—2441no—
1520C22×C4—2441no—
1521C22×C4—2441no—
1522C22×C4—2441no—
1523C22×C4—2441no—
1524C22×C4—2441no—
1525C22×C4—24416no—
1526C22×C4—2441no—
1527C22×C4—2441no—
1528C22×C4—2441no—
1529C22×C4D4×D6114yes—
1530C22×C4C23×D6111yescharacteristic
1531C22×C4C23×D6111yescharacteristic
1532C22×C4C23×D6111yescharacteristic
1533C22×C4C23×D6111yescharacteristic
1534C22×C4C23×D6111yescharacteristic
1535C22×C4C23×D6111yescharacteristic
1536C22×C4C23×D6111yescharacteristic
1537C22×C4C23×D6111yescharacteristic
1538C22×C4C23×D6111yescharacteristic
1539C22×C4C23×D6111yescharacteristic
1540C22×C4C23×D6111yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—41no—
1544C4⋊C4—41no—
1545C4⋊C4—1222no—
1546C4⋊C4—1222no—
1547C4⋊C4—1222no—
1548C4⋊C4—1222no—
1549C4⋊C4—1222no—
1550C4⋊C4—1222no—
1551C4⋊C4—2441no—
1552C4⋊C4—2441no—
1553C4⋊C4—2441no—
1554C4⋊C4—2441no—
1555C4⋊C4—2441no—
1556C4⋊C4—2441no—
1557C4⋊C4—2441no—
1558C4⋊C4—2441no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—1222no—
1571C22⋊C4—1222no—
1572C22⋊C4—1222no—
1573C22⋊C4—1222no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—1222no—
1579C22⋊C4—1222no—
1580C22⋊C4—1222no—
1581C22⋊C4—1222no—
1582C22⋊C4—1222no—
1583C22⋊C4—1222no—
1584C22⋊C4—1222no—
1585C22⋊C4—1222no—
1586C22⋊C4—1222no—
1587C22⋊C4—1222no—
1588C22⋊C4—1222no—
1589C22⋊C4—1222no—
1590C22⋊C4—1222no—
1591C22⋊C4—1222no—
1592C22⋊C4—1222no—
1593C22⋊C4—1222no—
1594C22⋊C4—1222no—
1595C22⋊C4—1222no—
1596C22⋊C4—2441no—
1597C22⋊C4—2441no—
1598C22⋊C4—2441no—
1599C22⋊C4—2441no—
1600C22⋊C4—2441no—
1601C22⋊C4—2441no—
1602C22⋊C4—2441no—
1603C22⋊C4—2441no—
1604C22⋊C4—2441no—
1605C22⋊C4—2441no—
1606C22⋊C4—2441no—
1607C22⋊C4—2441no—
1608C22⋊C4—2441no—
1609C22⋊C4—2441no—
1610C22⋊C4—2441no—
1611C22⋊C4—2441no—
1612C22⋊C4—2441no—
1613C22⋊C4—2441no—
1614C22⋊C4—2441no—
1615C22⋊C4—2441no—
1616C22⋊C4—2441no—
1617C42—1222no—
1618C42—1222no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—612no—
1645C23—612no—
1646C23—612no—
1647C23—612no—
1648C23—1228no—
1649C23—1228no—
1650C23—1221no—
1651C23—1221no—
1652C23—1221no—
1653C23—1221no—
1654C23—1221no—
1655C23—1221no—
1656C23—1221no—
1657C23—1221no—
1658C23—1221no—
1659C23—1221no—
1660C23—1221no—
1661C23—1221no—
1662C23—1221no—
1663C23—1221no—
1664C23—1221no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—1221no—
1673C23—1221no—
1674C23—1221no—
1675C23—1221no—
1676C23—1221no—
1677C23—1221no—
1678C23—1221no—
1679C23—1221no—
1680C23—1221no—
1681C23—4882no—
1682C23—4882no—
1683C23—4882no—
1684C23—4882no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—4882no—
1689C23—4882no—
1690C23—4882no—
1691C23—2444no—
1692C23—2444no—
1693C23—2444no—
1694C23—2444no—
1695C23—2444no—
1696C23—2444no—
1697C23—2444no—
1698C23—2444no—
1699C23—2444no—
1700C23C2×D4×D6112yes—
1701C23#1451982212yes—
1702C23#1451982212yes—
1703C23C24×D6111yescharacteristic
1704Q8—44no—
1705D4—44no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—82no—
1710D4—82no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—4882no—
1718D4—4882no—
1719D4—4882no—
1720D4—4882no—
1721D4—4882no—
1722D4—4882no—
1723D4—4882no—
1724D4—4882no—
1725D4—2444no—
1726D4—2444no—
1727D4—2444no—
1728D4—2444no—
1729D4—2444no—
1730D4—2444no—
1731D4—2444no—
1732C2×C4—28no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—82no—
1767C2×C4—612no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—4882no—
1801C2×C4—4882no—
1802C2×C4—4882no—
1803C2×C4—2444no—
1804C2×C4—2444no—
1805C2×C4—2444no—
1806C2×C4—2444no—
1807C2×C4—2444no—
1808C2×C4—2444no—
1809C2×C4C2×D4×D6112yes—
1810C2×C4C2×D4×D6112yes—
1811C2×C4#1451982312yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—1222no—
1840C22—1222no—
1841C22—1222no—
1842C22—1222no—
1843C22—1222no—
1844C22—1222no—
1845C22—1222no—
1846C22—1222no—
1847C22—1222no—
1848C22—1222no—
1849C22—1222no—
1850C22—1222no—
1851C22—4888no—
1852C22—4888no—
1853C22—24416no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22—2441no—
1866C22—2441no—
1867C22—2441no—
1868C22—2441no—
1869C22—2441no—
1870C22—2441no—
1871C22—2441no—
1872C22—2441no—
1873C22—2441no—
1874C22—2441no—
1875C22—2441no—
1876C22—2441no—
1877C22#1684032214yes—
1878C22C22×D4×D6111yescharacteristic
1879C22H(5,𝔽2)×D6111yescharacteristic
1880C22C2×#1451982211yescharacteristic
1881C22C2×#1451982211yescharacteristic
1882C22C2×#1451982311yescharacteristic
1883C22#1684059811yescharacteristic
1884C22#1684059911yescharacteristic
1885C4—22no—
1886C4—22no—
1887C4—22no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—1222no—
1897C4—2441no—
1898C4—2441no—
1899C4—2441no—
1900C4—2441no—
1901C4—2441no—
1902C4—2441no—
1903C4—2441no—
1904C4—2441no—
1905C4—2441no—
1906C4—2441no—
1907C2—24no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—4881no—
1912C2—2442no—
1913C2—2442no—
1914C2—2442no—
1915C2—2442no—
1916C2C2×#1684032211yescharacteristic
1917C2#2145958111yescharacteristic
1918C2#2145958211yescharacteristic
1919C2#2145996811yescharacteristic
1920C2#2145998911yescharacteristic
1921C2#2146012011yescharacteristic
1922C2#2146013611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2430C2
hypercenter#2430D61
hypocenterC61#36737
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#16840326C2semidirect
2. C2×#16840323C2semidirect
3. #21454100C2semidirect
4. #21454098C2semidirect
5. #21452661C2semidirect
6. #21452553C2semidirect
7. #21452540C2semidirect
8. #21452538C2semidirect
9. #21452258C2semidirect
10. #21452256C2semidirect
11. #21452232C2semidirect
12. #21452230C2semidirect
13. #21452202C2semidirect
14. #21452092C2semidirect
15. #21452090C2semidirect
16. #21452058C2semidirect
17. #21452056C2semidirect
18. #21452038C2semidirect
19. #21452025C2semidirect
20. #21452024C2semidirect
21. #21451559C2semidirect
22. #21451555C2semidirect
23. #21450265C2semidirect
24. #21450263C2semidirect
25. #21449423C2semidirect
26. #21449214C2semidirect
27. #21449214C2semidirect
28. #21449190C2semidirect
29. #21449190C2semidirect
30. C2×#16839640C2semidirect
31. C61×#2430C2semidirect
34. C23×C4×D61C22semidirect
38. C2×#14519773C22semidirect
40. C2×#14519766C22semidirect
44. C2×#14519759C22semidirect
45. C2×#14519759C22semidirect
50. C2×#14519751C22semidirect
51. C2×#14519751C22semidirect
54. C2×#14519750C22semidirect
55. C2×#14519750C22semidirect
58. C2×#14519748C22semidirect
59. C2×#14519748C22semidirect
66. C2×#14519745C22semidirect
67. C2×#14519745C22semidirect
68. C2×#14519745C22semidirect
69. C2×#14519745C22semidirect
70. C2×#14519736C22semidirect
73. C22×#11758198C22semidirect
75. #16839702C22semidirect
76. #16839701C22semidirect
77. #16839699C22semidirect
78. #16839698C22semidirect
79. #16839694C22semidirect
80. #16839692C22semidirect
81. #16839691C22semidirect
82. #16839691C22semidirect
83. #16839691C22semidirect
84. #16839691C22semidirect
85. #16839689C22semidirect
86. #16839689C22semidirect
87. #16839689C22semidirect
88. #16839688C22semidirect
89. #16839688C22semidirect
90. #16839687C22semidirect
91. #16839681C22semidirect
92. #16839680C22semidirect
93. #16839680C22semidirect
94. #16839679C22semidirect
95. #16839679C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839678C22semidirect
99. #16839678C22semidirect
100. #16839678C22semidirect
101. #16839678C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
104. #16839677C22semidirect
105. #16839677C22semidirect
106. #16839677C22semidirect
107. #16839677C22semidirect
108. #16839676C22semidirect
109. #16839673C22semidirect
110. #16839671C22semidirect
111. #16839671C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
114. #16839670C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839654C22semidirect
120. #16839654C22semidirect
121. #16839650C22semidirect
122. #16839650C22semidirect
123. #16839647C22semidirect
124. #16839647C22semidirect
125. #16839643C22semidirect
126. #16839643C22semidirect
129. #16839642C22semidirect
130. #16839642C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
139. #16839640C22semidirect
140. #16839640C22semidirect
141. #16839640C22semidirect
142. #16839640C22semidirect
143. #16839640C22semidirect
144. #16839640C22semidirect
145. #16839638C22semidirect
146. #16839638C22semidirect
147. #16839638C22semidirect
148. #16839638C22semidirect
149. #16839638C22semidirect
150. #16839638C22semidirect
151. #16839638C22semidirect
152. #16839638C22semidirect
153. #16839638C22semidirect
154. #16839638C22semidirect
155. #16839636C22semidirect
156. #16839636C22semidirect
157. #16839635C22semidirect
158. #16839635C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
161. #16839624C22semidirect
162. #16839624C22semidirect
163. #16839622C22semidirect
164. #16839622C22semidirect
165. #16839621C22semidirect
166. #16839621C22semidirect
167. #16839620C22semidirect
168. #16839620C22semidirect
169. #16839619C22semidirect
170. #16839619C22semidirect
171. #16839617C22semidirect
172. #16839617C22semidirect
173. C2×#14519684C22semidirect
174. C22×#41×C61C22semidirect
178. C61×#395C22semidirect
179. C61×#394C22semidirect
180. C61×#393C22semidirect
181. C61×#392C22semidirect
182. C61×#386C22semidirect
183. C61×#386C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#385C22semidirect
187. C61×#385C22semidirect
188. C2×#95×C61C22semidirect
194. C22×D244D4semidirect
971. #2430D61semidirect
993. C22×#41C2×D61semidirect
1057. #395C2×D61semidirect
1075. #394C2×D61semidirect
1077. #393C2×D61semidirect
1087. #392C2×D61semidirect
1124. #386C2×D61semidirect
1125. #386C2×D61semidirect
1126. #386C2×D61semidirect
1127. #386C2×D61semidirect
1134. #385C2×D61semidirect
1135. #385C2×D61semidirect
1149. C2×#95C2×D61semidirect
1150. C61#36737semidirect

Maximal subgroups

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

subgroupindex
C2×#168403262
C2×#168403232
#214541002
#214540982
#214526612
#214525532
#214525402
#214525382
#214522582
#214522562
#214522322
#214522302
#214522022
#214520922
#214520902
#214520582
#214520562
#214520382
#214520252
#214520242
#214515592
#214515552
#214502652
#214502632
#214494232
#214492142
#214491902
C2×#168396402
C61×#24302
#3673761