Finite Group Databasebeta

← #29887413

Subgroups — #29887413

Order 15616.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840345C211yesmaximal, characteristic, complemented
2C2×#16840320C211yesmaximal, characteristic, complemented
3#21454162C211yesmaximal, characteristic, complemented
4#21454116C211yesmaximal, characteristic, complemented
5#21452674C211yesmaximal, characteristic, complemented
6#21452672C211yesmaximal, characteristic, complemented
7#21452566C211yesmaximal, characteristic, complemented
8#21452564C211yesmaximal, characteristic, complemented
9#21452511C211yesmaximal, characteristic, complemented
10#21452509C211yesmaximal, characteristic, complemented
11#21452466C211yesmaximal, characteristic, complemented
12#21452464C211yesmaximal, characteristic, complemented
13#21452215C211yesmaximal, characteristic, complemented
14#21452213C211yesmaximal, characteristic, complemented
15#21452151C211yesmaximal, characteristic, complemented
16#21452145C211yesmaximal, characteristic, complemented
17#21452046C211yesmaximal, characteristic, complemented
18#21452043C211yesmaximal, characteristic, complemented
19#21452038C211yesmaximal, characteristic, complemented
20#21452037C211yesmaximal, characteristic, complemented
21#21451923C211yesmaximal, characteristic, complemented
22#21451749C211yesmaximal, characteristic, complemented
23#21450779C211yesmaximal, characteristic, complemented
24#21449260C211yesmaximal, characteristic, complemented
25#21449259C211yesmaximal, characteristic, complemented
26#21449192C211yesmaximal, characteristic, complemented
27#21449192C211yesmaximal, characteristic, complemented
28#21449190C211yesmaximal, characteristic, complemented
29#21449190C211yesmaximal, characteristic, complemented
30C2×#16839654C211yesmaximal, characteristic, complemented
31C61×#2543C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840345—28no—
35#16840320—28no—
36C2×#14519773C2211yescharacteristic, complemented
37C2×#14519772C2211yescharacteristic, complemented
38C2×#14519771C2211yescharacteristic, complemented
39C2×#14519765C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519763C2211yescharacteristic, complemented
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic, complemented
45C2×#14519760C2211yescharacteristic, complemented
46C2×#14519759C2211yescharacteristic
47C2×#14519759C2211yescharacteristic
48C2×#14519754C2211yescharacteristic, complemented
49C2×#14519751C2211yescharacteristic
50C2×#14519751C2211yescharacteristic, complemented
51C2×#14519751C2211yescharacteristic, complemented
52C2×#14519751C2211yescharacteristic, complemented
53C2×#14519751C2211yescharacteristic, complemented
54C2×#14519750C2211yescharacteristic, complemented
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic, complemented
62C2×#14519748C2211yescharacteristic, complemented
63C2×#14519747C2211yescharacteristic
64C2×#14519747C2211yescharacteristic
65C2×#14519747C2211yescharacteristic
66C2×#14519747C2211yescharacteristic, complemented
67C2×#14519747C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic
71C2×#14519745C2211yescharacteristic, complemented
72C2×#14519745C2211yescharacteristic, complemented
73C2×C4×C22⋊D61C2211yescharacteristic, complemented
74C22×C4⋊Dic61C2211yescharacteristic, complemented
75C22×#11758198C2211yescharacteristic
76C22×#11758198C2211yescharacteristic
77C22×#11758198C2211yescharacteristic
78C22×C4×Dic61C2211yescharacteristic, complemented
79#16839704C2211yescharacteristic, complemented
80#16839703C2211yescharacteristic, complemented
81#16839698C2211yescharacteristic, complemented
82#16839698C2211yescharacteristic, complemented
83#16839697C2211yescharacteristic, complemented
84#16839697C2211yescharacteristic, complemented
85#16839694C2211yescharacteristic, complemented
86#16839691C2211yescharacteristic, complemented
87#16839690C2211yescharacteristic, complemented
88#16839689C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic
94#16839680C2211yescharacteristic
95#16839680C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic
97#16839679C2211yescharacteristic
98#16839678C2211yescharacteristic
99#16839678C2211yescharacteristic
100#16839678C2211yescharacteristic, complemented
101#16839678C2211yescharacteristic, complemented
102#16839678C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic, complemented
104#16839678C2211yescharacteristic, complemented
105#16839677C2211yescharacteristic
106#16839677C2211yescharacteristic
107#16839677C2211yescharacteristic, complemented
108#16839675C2211yescharacteristic, complemented
109#16839674C2211yescharacteristic, complemented
110#16839672C2211yescharacteristic
111#16839672C2211yescharacteristic
112#16839672C2211yescharacteristic, complemented
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic
115#16839671C2211yescharacteristic
116#16839671C2211yescharacteristic
117#16839671C2211yescharacteristic, complemented
118#16839671C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic
120#16839670C2211yescharacteristic
121#16839670C2211yescharacteristic, complemented
122#16839670C2211yescharacteristic, complemented
123#16839666C2211yescharacteristic, complemented
124#16839665C2211yescharacteristic, complemented
125#16839665C2211yescharacteristic, complemented
126#16839664C2211yescharacteristic, complemented
127#16839663C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839662C2211yescharacteristic, complemented
131#16839662C2211yescharacteristic, complemented
132#16839662C2211yescharacteristic, complemented
133#16839660C2211yescharacteristic, complemented
134#16839658C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839654C2211yescharacteristic, complemented
137#16839654C2211yescharacteristic, complemented
138#16839654C2211yescharacteristic, complemented
139#16839654C2211yescharacteristic, complemented
140#16839654C2211yescharacteristic, complemented
141#16839654C2211yescharacteristic, complemented
142#16839654C2211yescharacteristic, complemented
143#16839654C2211yescharacteristic, complemented
144#16839654C2211yescharacteristic, complemented
145#16839654C2211yescharacteristic, complemented
146#16839654C2211yescharacteristic, complemented
147#16839651C2211yescharacteristic, complemented
148#16839650C2211yescharacteristic, complemented
149#16839642C2211yescharacteristic, complemented
150#16839642C2211yescharacteristic, complemented
151#16839641C2211yescharacteristic, complemented
152#16839641C2211yescharacteristic, complemented
153#16839640C2211yescharacteristic, complemented
154#16839640C2211yescharacteristic, complemented
155#16839640C2211yescharacteristic, complemented
156#16839640C2211yescharacteristic, complemented
157#16839639C2211yescharacteristic, complemented
158#16839639C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic, complemented
160#16839638C2211yescharacteristic, complemented
161#16839636C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839633C2211yescharacteristic, complemented
164#16839633C2211yescharacteristic, complemented
165#16839631C2211yescharacteristic, complemented
166#16839626C2211yescharacteristic, complemented
167#16839622C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C2×#121×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×C4×D4×C61C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#388C2211yescharacteristic, complemented
184C61×#386C2211yescharacteristic, complemented
185C61×#386C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C2×#95×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C2×D4×D61—24no—
215C2×D4×D61—24no—
216C2×D4×D61—42no—
217C2×D4×D61—42no—
218C2×D4×D61—42no—
219C2×D4×D61—42no—
220C23×Dic61C2311yescharacteristic
221C23×Dic61C2311yescharacteristic
222C23×Dic61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519773—42no—
227#14519772—24no—
228#14519771—24no—
229#14519765—24no—
230#14519763—24no—
231#14519763—42no—
232#14519762—24no—
233#14519762—24no—
234#14519762—24no—
235#14519760—24no—
236#14519759—24no—
237#14519759—24no—
238#14519754—24no—
239#14519751—24no—
240#14519751—24no—
241#14519751—42no—
242#14519751—42no—
243#14519751—42no—
244#14519750—24no—
245#14519749—24no—
246#14519749—24no—
247#14519749—24no—
248#14519749—42no—
249#14519749—42no—
250#14519749—42no—
251#14519749—42no—
252#14519748—42no—
253#14519747—24no—
254#14519747—24no—
255#14519747—24no—
256#14519747—42no—
257#14519747—42no—
258#14519745—24no—
259#14519745—24no—
260#14519745—24no—
261#14519745—42no—
262#14519745—42no—
263C4×C22⋊D61—24no—
264C2×C4⋊Dic61—42no—
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×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×#11758198—42no—
296C2×#11758198—42no—
297C2×#11758198D418yescomplemented
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
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×#11758198C2311yescharacteristic
336C2×C4×Dic61—42no—
337C2×C4×Dic61C2311yescharacteristic
338C2×C4×Dic61C2311yescharacteristic
339C2×C4×Dic61C2311yescharacteristic
340C2×C4×Dic61C2311yescharacteristic
341C2×C4×Dic61C2311yescharacteristic
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
356#14519684C2311yescharacteristic
357#14519684C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367C23×C4×C61C2311yescharacteristic
368#121×C61—24no—
369#121×C61—42no—
370#121×C61—42no—
371C4×D4×C61—24no—
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C42×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—41no—
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×D61—41no—
421C23×D61C2×D414yes—
422C23×D61C2411yescharacteristic
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
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—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C22×C4×C61—22no—
446C22×C4×C61—22no—
447C22×C4×C61—22no—
448C22×C4×C61—22no—
449C22×C4×C61—41no—
450C22×C4×C61—41no—
451C22×C4×C61—41no—
452C22×C4×C61—41no—
453C22×C4×C61—41no—
454C22×C4×C61—41no—
455C22×C4×C61—41no—
456C22×C4×C61C2×D414yes—
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—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—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊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—
510C22×Dic61—22no—
511C22×Dic61—22no—
512C22×Dic61—22no—
513C22×Dic61—41no—
514C22×Dic61—41no—
515C22×Dic61—41no—
516C22×Dic61—41no—
517C22×Dic61—41no—
518C22×Dic61C2×D414yes—
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530D4×D61—416no—
531D4×D61—416no—
532C2×D244—22no—
533C2×D244—22no—
534C2×D244—22no—
535C2×D244—22no—
536C2×D244—22no—
537C2×D244—22no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244—41no—
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×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—41no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61—41no—
561C2×C4×D61—41no—
562C2×Dic122—22no—
563C2×Dic122—41no—
564C2×Dic122—41no—
565C4⋊C4×C61—22no—
566C4⋊C4×C61—22no—
567C4⋊C4×C61—41no—
568C4⋊C4×C61—41no—
569C22⋊C4×C61—22no—
570C22⋊C4×C61—22no—
571C22⋊C4×C61—22no—
572C22⋊C4×C61—22no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—41no—
575C22⋊C4×C61—41no—
576C22⋊C4×C61—41no—
577C22⋊C4×C61—41no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61—41no—
581C42×C61—22no—
582C22⋊Dic61—22no—
583C22⋊Dic61—22no—
584C22⋊Dic61—22no—
585C22⋊Dic61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—41no—
588C22⋊Dic61—41no—
589C22⋊Dic61—41no—
590C22⋊Dic61—41no—
591C22⋊Dic61—41no—
592C22⋊Dic61—41no—
593C22⋊Dic61—41no—
594#11758198—22no—
595#11758198—22no—
596#11758198—22no—
597#11758198—22no—
598#11758198—22no—
599#11758198—22no—
600#11758198—22no—
601#11758198—22no—
602#11758198—22no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—41no—
611#11758198—41no—
612#11758198—41no—
613#11758198—41no—
614#11758198—41no—
615#11758198—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620#11758198—41no—
621#11758198—41no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198C2×D414yes—
629#11758198C2×D414yes—
630#11758198C2×D414yes—
631#11758198C2×D414yes—
632C4⋊Dic61—22no—
633C4⋊Dic61—22no—
634C4⋊Dic61—22no—
635C4⋊Dic61—22no—
636C4⋊Dic61—41no—
637C4⋊Dic61—41no—
638C4⋊Dic61—41no—
639C4⋊Dic61—41no—
640#11758196—22no—
641#11758196—22no—
642#11758196—22no—
643#11758196—22no—
644#11758196—22no—
645#11758196—22no—
646#11758196—41no—
647#11758196—41no—
648#11758196—41no—
649#11758196—41no—
650C4×Dic61—22no—
651C4×Dic61—22no—
652C4×Dic61—22no—
653C4×Dic61—41no—
654C4×Dic61—41no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—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×C61C22×D412yes—
681C23×C61H(5,𝔽2)12yes—
682C23×C61H(5,𝔽2)12yes—
683C23×C61C2511yescharacteristic
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—28no—
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—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—82no—
723C22×D61—82no—
724C22×D61—82no—
725C22×D61—82no—
726C22×D61—82no—
727C22×D61—82no—
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—
740D4×C61—44no—
741D4×C61—44no—
742D4×C61—44no—
743D4×C61—82no—
744D4×C61—82no—
745D4×C61—82no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
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—44no—
777C2×C4×C61—44no—
778C2×C4×C61—82no—
779C2×C4×C61—82no—
780C2×C4×C61C22×D412yes—
781C2×C4×C61C22×D412yes—
782C2×C4×C61H(5,𝔽2)12yes—
783C22⋊D61—44no—
784C22⋊D61—44no—
785C22⋊D61—44no—
786C22⋊D61—44no—
787C22⋊D61—44no—
788C22⋊D61—82no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C22⋊D61—82no—
793C22⋊D61—82no—
794C22⋊D61—82no—
795C22⋊D61—82no—
796C22⋊D61—82no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
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—44no—
828C2×Dic61—44no—
829C2×Dic61—82no—
830C2×Dic61C22×D412yes—
831C2×Dic61C22×D412yes—
832C2×Dic61H(5,𝔽2)12yes—
833D244—44no—
834D244—44no—
835D244—82no—
836D244—82no—
837D244—82no—
838D244—82no—
839D244—82no—
840C4×D61—44no—
841C4×D61—44no—
842C4×D61—82no—
843Dic122—82no—
844#36739—611nomaximal, Sylow
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—22no—
849C22×C61—22no—
850C22×C61—22no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
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#53514yes—
873C22×C61C23×D411yescharacteristic
874C22×C61C2×H(5,𝔽2)11yescharacteristic
875C22×C61C2×H(5,𝔽2)11yescharacteristic
876C22×C61C2×H(5,𝔽2)11yescharacteristic
877C22×C61C2×H(5,𝔽2)11yescharacteristic
878C22×C61#58511yescharacteristic
879C22×C61#58511yescharacteristic
880C2×D61—22no—
881C2×D61—22no—
882C2×D61—22no—
883C2×D61—22no—
884C2×D61—22no—
885C2×D61—22no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
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—88no—
916C2×D61—88no—
917C2×D61—88no—
918C4×C61—22no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927C4×C61—41no—
928C4×C61—41no—
929Dic61—22no—
930Dic61—22no—
931Dic61—22no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940C2×#538—611no—
941C2×#534—611no—
942#2856—611no—
943#2850—611no—
944#2718—611no—
945#2718—611no—
946#2710—611no—
947#2710—611no—
948#2706—611no—
949#2706—611no—
950#2703—611no—
951#2703—611no—
952#2685—611no—
953#2685—611no—
954#2678—611no—
955#2678—611no—
956#2670—611no—
957#2670—611no—
958#2669—611no—
959#2669—611no—
960#2656—611no—
961#2639—611no—
962#2543—611no—
963#2543D6111yescharacteristic, complemented
964#2416—611no—
965#2416—611no—
966#2410—611no—
967#2410—611no—
968#2410—611no—
969#2410—611no—
970C2×#388—611no—
971C2×C61—24no—
972C2×C61—81no—
973C2×C61—81no—
974C2×C61—81no—
975C2×C61C2×#53511yescharacteristic
976C2×C61#349611yescharacteristic
977C2×C61#349611yescharacteristic
978C2×C61#353411yescharacteristic
979C2×C61#353711yescharacteristic
980C2×C61#355811yescharacteristic
981C2×C61#356011yescharacteristic
982D61—42no—
983D61—42no—
984D61—81no—
985D61—81no—
986D61—81no—
987C23×D4—611no—
988C23×D4—611no—
989#538—1228no—
990#534—1228no—
991C2×#127—611no—
992C2×#126—611no—
993C2×#126—611no—
994C2×#124—611no—
995C2×#124—611no—
996C2×#124—611no—
997C2×#123—611no—
998C2×#123—611no—
999C2×#123—611no—
1000C2×#123—611no—
1001C2×#123—611no—
1002C2×#123—611no—
1003C2×C22⋊Q8—611no—
1004C2×#121—611no—
1005C2×#121—611no—
1006C2×#121—611no—
1007C2×#121—611no—
1008C2×#121—611no—
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×#121C2×D6111yescharacteristic
1019C2×#121C2×D6111yescharacteristic, complemented
1020C2×#121C2×D6111yescharacteristic, complemented
1021C2×#120—611no—
1022C2×#120—611no—
1023C2×#120—611no—
1024C2×#120—611no—
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C2×#120—611no—
1031C2×C4×D4—611no—
1032C2×C4×D4C2×D6111yescharacteristic, complemented
1033C22×C4⋊C4—611no—
1034C22×C22⋊C4—611no—
1035C22×C22⋊C4—611no—
1036C22×C22⋊C4—611no—
1037C22×C42—611no—
1038#400—611no—
1039#400—611no—
1040#399—611no—
1041#399—611no—
1042#399—611no—
1043#399—611no—
1044#398—611no—
1045#398C2×D6111yescharacteristic, complemented
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397C2×D6111yescharacteristic, complemented
1050#396—611no—
1051#396—611no—
1052#396—611no—
1053#396—611no—
1054#394—611no—
1055#394—611no—
1056#394—611no—
1057#394—611no—
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#394C2×D6111yescharacteristic, complemented
1070#393—611no—
1071#393—611no—
1072#392—611no—
1073#392—611no—
1074#392—611no—
1075#392—611no—
1076#392—611no—
1077#392—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392—611no—
1085#392C2×D6111yescharacteristic, complemented
1086#391—611no—
1087#390—611no—
1088#390—611no—
1089#390—611no—
1090#390—611no—
1091#390—611no—
1092#390—611no—
1093#390—611no—
1094#390—611no—
1095#390—611no—
1096#389—611no—
1097#389—611no—
1098#388—611no—
1099#388—611no—
1100#388—611no—
1101#388—611no—
1102#388—611no—
1103#388—611no—
1104#388—611no—
1105#388—611no—
1106#388—611no—
1107#388—611no—
1108#388—611no—
1109#388—611no—
1110#388—611no—
1111#388—611no—
1112#388C2×D6111yescharacteristic, complemented
1113#388C2×D6111yescharacteristic, complemented
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#386—611no—
1125#386—611no—
1126#386C2×D6111yescharacteristic, complemented
1127#386C2×D6111yescharacteristic, complemented
1128#386C2×D6111yescharacteristic, complemented
1129#386C2×D6111yescharacteristic, complemented
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#384—611no—
1135#382—611no—
1136#380—611no—
1137#380—611no—
1138#379—611no—
1139#379—611no—
1140#379—611no—
1141#379—611no—
1142C2×#95—611no—
1143C2×#95C2×D6111yescharacteristic, complemented
1144C61#3673911yescharacteristic, complemented, Sylow
1145C25—611no—
1146C25—611no—
1147C25—611no—
1148C22×Q8—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—611no—
1152C22×D4—611no—
1153C22×D4—611no—
1154C22×D4—611no—
1155C22×D4—611no—
1156C22×D4—611no—
1157C22×D4—611no—
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—1224no—
1171C22×D4—1224no—
1172C22×D4—2442no—
1173C22×D4—2442no—
1174C22×D4—2442no—
1175C22×D4—2442no—
1176C22×D4C22×D6111yescharacteristic
1177C22×D4C22×D6111yescharacteristic
1178C22×D4C22×D6111yescharacteristic
1179C22×D4C22×D6111yescharacteristic
1180C22×D4C22×D6111yescharacteristic
1181C22×D4C22×D6111yescharacteristic
1182C23×C4—611no—
1183C23×C4—611no—
1184C23×C4—611no—
1185C23×C4—611no—
1186C23×C4—611no—
1187C23×C4—611no—
1188C23×C4C22×D6111yescharacteristic
1189C23×C4C22×D6111yescharacteristic
1190C23×C4C22×D6111yescharacteristic
1191C23×C4C22×D6111yescharacteristic
1192#127—2442no—
1193#126—1224no—
1194#126—1224no—
1195#124—1224no—
1196#124—1224no—
1197#124—2442no—
1198#123—1224no—
1199#123—1224no—
1200#123—1224no—
1201#123—1224no—
1202#123—1224no—
1203#123—1224no—
1204C22⋊Q8—1224no—
1205#121—24no—
1206#121—42no—
1207#121—42no—
1208#121—1224no—
1209#121—1224no—
1210#121—1224no—
1211#121—1224no—
1212#121—1224no—
1213#121—1224no—
1214#121—2442no—
1215#121—2442no—
1216#121—2442no—
1217#121—2442no—
1218#121—2442no—
1219#121—2442no—
1220#121—2442no—
1221#121—2442no—
1222#120—1224no—
1223#120—1224no—
1224#120—1224no—
1225#120—1224no—
1226#120—1224no—
1227#120—1224no—
1228#120—2442no—
1229#120—2442no—
1230#120—2442no—
1231#120—2442no—
1232C4×D4—24no—
1233C4×D4—1224no—
1234C2×C4⋊C4—611no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
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—2442no—
1253C2×C4⋊C4C22×D6111yescharacteristic
1254C2×C4⋊C4C22×D6111yescharacteristic
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C4⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4—618no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
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—2442no—
1309C2×C22⋊C4—2442no—
1310C2×C22⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4C22×D6111yescharacteristic
1312C2×C22⋊C4C22×D6111yescharacteristic
1313C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1323C2×C42—611no—
1324C2×C42—611no—
1325C2×C42—611no—
1326C2×C42—611no—
1327C2×C42—2442no—
1328C2×C42C22×D6111yescharacteristic
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#95C22×D6111yescharacteristic
1346#95C22×D6111yescharacteristic
1347#95C22×D6111yescharacteristic
1348#95C22×D6111yescharacteristic
1349#95C22×D6111yescharacteristic
1350#95C22×D6111yescharacteristic
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353C24—611no—
1354C24—611no—
1355C24—614no—
1356C24—611no—
1357C24—611no—
1358C24—611no—
1359C24—1222no—
1360C24—1222no—
1361C24—1222no—
1362C24—1222no—
1363C24—2441no—
1364C24—2441no—
1365C24—2441no—
1366C24—2441no—
1367C24—2441no—
1368C24—2441no—
1369C24—2441no—
1370C24—2441no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24—2441no—
1378C24—2441no—
1379C24C23×D6111yescharacteristic
1380C24C23×D6111yescharacteristic
1381C24C23×D6111yescharacteristic
1382C24C23×D6111yescharacteristic
1383C2×Q8—1222no—
1384C2×Q8—2441no—
1385C2×Q8—2441no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—1222no—
1412C2×D4—1222no—
1413C2×D4—1222no—
1414C2×D4—1222no—
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—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4—2441no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
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—24416no—
1468C2×D4—24416no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—614no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—1222no—
1493C22×C4—1222no—
1494C22×C4—1222no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—2441no—
1499C22×C4—2441no—
1500C22×C4—2441no—
1501C22×C4—2441no—
1502C22×C4—2441no—
1503C22×C4—2441no—
1504C22×C4—2441no—
1505C22×C4—2441no—
1506C22×C4—2441no—
1507C22×C4—2441no—
1508C22×C4—2441no—
1509C22×C4D4×D6114yes—
1510C22×C4C23×D6111yescharacteristic
1511C22×C4C23×D6111yescharacteristic
1512C22×C4C23×D6111yescharacteristic
1513C22×C4C23×D6111yescharacteristic
1514C22×C4C23×D6111yescharacteristic
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518C22×C4C23×D6111yescharacteristic
1519C22×C4C23×D6111yescharacteristic
1520C22×C4C23×D6111yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—1222no—
1526C4⋊C4—1222no—
1527C4⋊C4—1222no—
1528C4⋊C4—1222no—
1529C4⋊C4—1222no—
1530C4⋊C4—1222no—
1531C4⋊C4—1222no—
1532C4⋊C4—1222no—
1533C4⋊C4—1222no—
1534C4⋊C4—1222no—
1535C4⋊C4—2441no—
1536C4⋊C4—2441no—
1537C4⋊C4—2441no—
1538C4⋊C4—2441no—
1539C4⋊C4—2441no—
1540C4⋊C4—2441no—
1541C4⋊C4—2441no—
1542C4⋊C4—2441no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—614no—
1556C22⋊C4—614no—
1557C22⋊C4—614no—
1558C22⋊C4—614no—
1559C22⋊C4—1222no—
1560C22⋊C4—1222no—
1561C22⋊C4—1222no—
1562C22⋊C4—1222no—
1563C22⋊C4—1222no—
1564C22⋊C4—1222no—
1565C22⋊C4—1222no—
1566C22⋊C4—1222no—
1567C22⋊C4—1222no—
1568C22⋊C4—1222no—
1569C22⋊C4—1222no—
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—2441no—
1581C22⋊C4—2441no—
1582C22⋊C4—2441no—
1583C22⋊C4—2441no—
1584C22⋊C4—2441no—
1585C22⋊C4—2441no—
1586C22⋊C4—2441no—
1587C22⋊C4—2441no—
1588C22⋊C4—2441no—
1589C22⋊C4—2441no—
1590C22⋊C4—2441no—
1591C22⋊C4—2441no—
1592C22⋊C4—2441no—
1593C22⋊C4—2441no—
1594C22⋊C4—2441no—
1595C22⋊C4—2441no—
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—
1605C42—22no—
1606C42—1222no—
1607C42—1222no—
1608C42—1222no—
1609C42—2441no—
1610C42—2441no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
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—612no—
1637C23—612no—
1638C23—1228no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—1221no—
1648C23—1221no—
1649C23—1221no—
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—4882no—
1673C23—4882no—
1674C23—4882no—
1675C23—4882no—
1676C23—4882no—
1677C23—4882no—
1678C23—4882no—
1679C23—4882no—
1680C23—4882no—
1681C23—4882no—
1682C23—4882no—
1683C23—4882no—
1684C23—4882no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—2444no—
1689C23—2444no—
1690C23—2444no—
1691C23—2444no—
1692C23C2×D4×D6112yes—
1693C23#1451982212yes—
1694C23#1451982312yes—
1695C23C24×D6111yescharacteristic
1696Q8—4882no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—4882no—
1704D4—4882no—
1705D4—4882no—
1706D4—4882no—
1707D4—4882no—
1708D4—4882no—
1709D4—4882no—
1710D4—4882no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—2444no—
1718D4—2444no—
1719D4—2444no—
1720D4—2444no—
1721D4—2444no—
1722D4—2444no—
1723D4—2444no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
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—44no—
1755C2×C4—44no—
1756C2×C4—82no—
1757C2×C4—82no—
1758C2×C4—612no—
1759C2×C4—612no—
1760C2×C4—612no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
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—4882no—
1792C2×C4—4882no—
1793C2×C4—2444no—
1794C2×C4—2444no—
1795C2×C4—2444no—
1796C2×C4—2444no—
1797C2×C4C2×D4×D6112yes—
1798C2×C4C2×D4×D6112yes—
1799C2×C4#1451982312yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—1222no—
1828C22—1222no—
1829C22—1222no—
1830C22—1222no—
1831C22—1222no—
1832C22—1222no—
1833C22—4888no—
1834C22—4888no—
1835C22—4888no—
1836C22—2441no—
1837C22—2441no—
1838C22—2441no—
1839C22—2441no—
1840C22—2441no—
1841C22—2441no—
1842C22—2441no—
1843C22—2441no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22#1684032814yes—
1866C22C22×D4×D6111yescharacteristic
1867C22H(5,𝔽2)×D6111yescharacteristic
1868C22C2×#1451982211yescharacteristic
1869C22C2×#1451982311yescharacteristic
1870C22C2×#1451982311yescharacteristic
1871C22#1684059711yescharacteristic
1872C22#1684059811yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—1222no—
1885C4—1222no—
1886C4—1222no—
1887C4—2441no—
1888C4—2441no—
1889C4—2441no—
1890C4—2441no—
1891C4—2441no—
1892C4—2441no—
1893C4—2441no—
1894C4—2441no—
1895C2—24no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—4881no—
1900C2—4881no—
1901C2—4881no—
1902C2—2442no—
1903C2—2442no—
1904C2C2×#1684032811yescharacteristic
1905C2#2145958011yescharacteristic
1906C2#2145958111yescharacteristic
1907C2#2146000511yescharacteristic
1908C2#2146005511yescharacteristic
1909C2#2146032911yescharacteristic
1910C2#2146037011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2543C2
hypercenter#2543D61
hypocenterC61#36739
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#16840345C2semidirect
2. C2×#16840320C2semidirect
3. #21454162C2semidirect
4. #21454116C2semidirect
5. #21452674C2semidirect
6. #21452672C2semidirect
7. #21452566C2semidirect
8. #21452564C2semidirect
9. #21452511C2semidirect
10. #21452509C2semidirect
11. #21452466C2semidirect
12. #21452464C2semidirect
13. #21452215C2semidirect
14. #21452213C2semidirect
15. #21452151C2semidirect
16. #21452145C2semidirect
17. #21452046C2semidirect
18. #21452043C2semidirect
19. #21452038C2semidirect
20. #21452037C2semidirect
21. #21451923C2semidirect
22. #21451749C2semidirect
23. #21450779C2semidirect
24. #21449260C2semidirect
25. #21449259C2semidirect
26. #21449192C2semidirect
27. #21449192C2semidirect
28. #21449190C2semidirect
29. #21449190C2semidirect
30. C2×#16839654C2semidirect
31. C61×#2543C2semidirect
36. C2×#14519773C22semidirect
37. C2×#14519772C22semidirect
38. C2×#14519771C22semidirect
39. C2×#14519765C22semidirect
40. C2×#14519763C22semidirect
41. C2×#14519763C22semidirect
44. C2×#14519762C22semidirect
45. C2×#14519760C22semidirect
48. C2×#14519754C22semidirect
50. C2×#14519751C22semidirect
51. C2×#14519751C22semidirect
52. C2×#14519751C22semidirect
53. C2×#14519751C22semidirect
54. C2×#14519750C22semidirect
57. C2×#14519749C22semidirect
58. C2×#14519749C22semidirect
59. C2×#14519749C22semidirect
60. C2×#14519749C22semidirect
61. C2×#14519749C22semidirect
62. C2×#14519748C22semidirect
66. C2×#14519747C22semidirect
67. C2×#14519747C22semidirect
71. C2×#14519745C22semidirect
72. C2×#14519745C22semidirect
73. C2×C4×C22⋊D61C22semidirect
74. C22×C4⋊Dic61C22semidirect
78. C22×C4×Dic61C22semidirect
79. #16839704C22semidirect
80. #16839703C22semidirect
81. #16839698C22semidirect
82. #16839698C22semidirect
83. #16839697C22semidirect
84. #16839697C22semidirect
85. #16839694C22semidirect
86. #16839691C22semidirect
87. #16839690C22semidirect
88. #16839689C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
95. #16839680C22semidirect
100. #16839678C22semidirect
101. #16839678C22semidirect
102. #16839678C22semidirect
103. #16839678C22semidirect
104. #16839678C22semidirect
107. #16839677C22semidirect
108. #16839675C22semidirect
109. #16839674C22semidirect
112. #16839672C22semidirect
117. #16839671C22semidirect
118. #16839671C22semidirect
121. #16839670C22semidirect
122. #16839670C22semidirect
123. #16839666C22semidirect
124. #16839665C22semidirect
125. #16839665C22semidirect
126. #16839664C22semidirect
127. #16839663C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839662C22semidirect
131. #16839662C22semidirect
132. #16839662C22semidirect
133. #16839660C22semidirect
134. #16839658C22semidirect
135. #16839655C22semidirect
136. #16839654C22semidirect
137. #16839654C22semidirect
138. #16839654C22semidirect
139. #16839654C22semidirect
140. #16839654C22semidirect
141. #16839654C22semidirect
142. #16839654C22semidirect
143. #16839654C22semidirect
144. #16839654C22semidirect
145. #16839654C22semidirect
146. #16839654C22semidirect
147. #16839651C22semidirect
148. #16839650C22semidirect
149. #16839642C22semidirect
150. #16839642C22semidirect
151. #16839641C22semidirect
152. #16839641C22semidirect
153. #16839640C22semidirect
154. #16839640C22semidirect
155. #16839640C22semidirect
156. #16839640C22semidirect
157. #16839639C22semidirect
158. #16839639C22semidirect
159. #16839638C22semidirect
160. #16839638C22semidirect
161. #16839636C22semidirect
162. #16839636C22semidirect
163. #16839633C22semidirect
164. #16839633C22semidirect
165. #16839631C22semidirect
166. #16839626C22semidirect
167. #16839622C22semidirect
168. #16839619C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. #16839617C22semidirect
173. C2×#14519684C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×C4×D4×C61C22semidirect
178. C61×#398C22semidirect
179. C61×#397C22semidirect
180. C61×#394C22semidirect
181. C61×#392C22semidirect
182. C61×#388C22semidirect
183. C61×#388C22semidirect
184. C61×#386C22semidirect
185. C61×#386C22semidirect
186. C61×#386C22semidirect
187. C61×#386C22semidirect
188. C2×#95×C61C22semidirect
297. C2×#11758198D4semidirect
963. #2543D61semidirect
1019. C2×#121C2×D61semidirect
1020. C2×#121C2×D61semidirect
1032. C2×C4×D4C2×D61semidirect
1045. #398C2×D61semidirect
1049. #397C2×D61semidirect
1069. #394C2×D61semidirect
1085. #392C2×D61semidirect
1112. #388C2×D61semidirect
1113. #388C2×D61semidirect
1126. #386C2×D61semidirect
1127. #386C2×D61semidirect
1128. #386C2×D61semidirect
1129. #386C2×D61semidirect
1143. C2×#95C2×D61semidirect
1144. C61#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#168403452
C2×#168403202
#214541622
#214541162
#214526742
#214526722
#214525662
#214525642
#214525112
#214525092
#214524662
#214524642
#214522152
#214522132
#214521512
#214521452
#214520462
#214520432
#214520382
#214520372
#214519232
#214517492
#214507792
#214492602
#214492592
#214491922
#214491902
C2×#168396542
C61×#25432
#3673961