Finite Group Databasebeta

← #29886795

Subgroups — #29886795

Order 15616.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840344C211yesmaximal, characteristic, complemented
2C2×#121×D61C211yesmaximal, characteristic, complemented
3#21454105C211yesmaximal, characteristic, complemented
4#21454098C211yesmaximal, characteristic, complemented
5#21452306C211yesmaximal, characteristic, complemented
6#21452304C211yesmaximal, characteristic, complemented
7#21452298C211yesmaximal, characteristic, complemented
8#21452296C211yesmaximal, characteristic, complemented
9#21452126C211yesmaximal, characteristic, complemented
10#21452125C211yesmaximal, characteristic, complemented
11#21452114C211yesmaximal, characteristic, complemented
12#21452113C211yesmaximal, characteristic, complemented
13#21452111C211yesmaximal, characteristic, complemented
14#21452109C211yesmaximal, characteristic, complemented
15#21452109C211yesmaximal, characteristic, complemented
16#21452059C211yesmaximal, characteristic, complemented
17#21452057C211yesmaximal, characteristic, complemented
18#21452051C211yesmaximal, characteristic, complemented
19#21452049C211yesmaximal, characteristic, complemented
20#21451629C211yesmaximal, characteristic, complemented
21#21451552C211yesmaximal, characteristic, complemented
22#21451164C211yesmaximal, characteristic, complemented
23#21451161C211yesmaximal, characteristic, complemented
24#21449190C211yesmaximal, characteristic, complemented
25#21449190C211yesmaximal, characteristic, complemented
26#21449186C211yesmaximal, characteristic, complemented
27#21449186C211yesmaximal, characteristic, complemented
28#21449171C211yesmaximal, characteristic, complemented
29#21449168C211yesmaximal, characteristic, complemented
30#21448430C211yesmaximal, characteristic, complemented
31C61×#2675C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840344—28no—
37C2×#14519772C2211yescharacteristic, complemented
38C2×#14519770C2211yescharacteristic, complemented
39C2×#14519764C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519760C2211yescharacteristic, complemented
42C2×#14519758C2211yescharacteristic, complemented
43C2×#14519755C2211yescharacteristic
44C2×#14519755C2211yescharacteristic, complemented
45C2×#14519754C2211yescharacteristic, complemented
46C2×#14519752C2211yescharacteristic
47C2×#14519751C2211yescharacteristic
48C2×#14519751C2211yescharacteristic, complemented
49C2×#14519750C2211yescharacteristic
50C2×#14519750C2211yescharacteristic
51C2×#14519750C2211yescharacteristic, complemented
52C2×#14519750C2211yescharacteristic, complemented
53C2×#14519749C2211yescharacteristic
54C2×#14519749C2211yescharacteristic
55C2×#14519749C2211yescharacteristic, complemented
56C2×#14519749C2211yescharacteristic, complemented
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519748C2211yescharacteristic
61C2×#14519748C2211yescharacteristic
62C2×#14519748C2211yescharacteristic, complemented
63C2×#14519748C2211yescharacteristic, complemented
64C2×#14519748C2211yescharacteristic, complemented
65#121×D61—28no—
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic
71C2×#14519745C2211yescharacteristic
72C2×C4×C22⋊D61C2211yescharacteristic
73C2×#14519737C2211yescharacteristic
74C2×C4⋊C4×D61C2211yescharacteristic
75C22×#11758198C2211yescharacteristic
76C2×C22⋊C4×D61C2211yescharacteristic
77C2×C22⋊C4×D61C2211yescharacteristic
78C2×C22⋊C4×D61C2211yescharacteristic
79#16839698C2211yescharacteristic, complemented
80#16839697C2211yescharacteristic, complemented
81#16839696C2211yescharacteristic, complemented
82#16839695C2211yescharacteristic, complemented
83#16839693C2211yescharacteristic, complemented
84#16839692C2211yescharacteristic, complemented
85#16839689C2211yescharacteristic, complemented
86#16839687C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839685C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839685C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic, complemented
95#16839679C2211yescharacteristic, complemented
96#16839678C2211yescharacteristic, complemented
97#16839678C2211yescharacteristic, complemented
98#16839677C2211yescharacteristic, complemented
99#16839677C2211yescharacteristic, complemented
100#16839677C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic, complemented
102#16839677C2211yescharacteristic, complemented
103#16839677C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839676C2211yescharacteristic, complemented
106#16839676C2211yescharacteristic, complemented
107#16839676C2211yescharacteristic, complemented
108#16839676C2211yescharacteristic, complemented
109#16839675C2211yescharacteristic, complemented
110#16839674C2211yescharacteristic, 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#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839665C2211yescharacteristic, complemented
122#16839663C2211yescharacteristic, complemented
123#16839662C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839648C2211yescharacteristic, complemented
126#16839647C2211yescharacteristic, complemented
127#16839644C2211yescharacteristic, complemented
128#16839643C2211yescharacteristic, complemented
129#16839642C2211yescharacteristic, complemented
130#16839642C2211yescharacteristic, complemented
131#16839642C2211yescharacteristic, complemented
132#16839642C2211yescharacteristic, complemented
133#16839641C2211yescharacteristic, complemented
134#16839641C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839638C2211yescharacteristic
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic
141#16839638C2211yescharacteristic, complemented
142#16839638C2211yescharacteristic, complemented
143#16839638C2211yescharacteristic, complemented
144#16839638C2211yescharacteristic, complemented
145#16839637C2211yescharacteristic, complemented
146#16839637C2211yescharacteristic, complemented
147#16839636C2211yescharacteristic
148#16839636C2211yescharacteristic
149#16839636C2211yescharacteristic, complemented
150#16839636C2211yescharacteristic, complemented
151#16839636C2211yescharacteristic, complemented
152#16839635C2211yescharacteristic, complemented
153#16839635C2211yescharacteristic, complemented
154#16839635C2211yescharacteristic, complemented
155#16839634C2211yescharacteristic, complemented
156#16839634C2211yescharacteristic, complemented
157#16839633C2211yescharacteristic
158#16839633C2211yescharacteristic
159#16839633C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic, complemented
161#16839633C2211yescharacteristic, complemented
162#16839622C2211yescharacteristic, complemented
163#16839621C2211yescharacteristic
164#16839621C2211yescharacteristic
165#16839621C2211yescharacteristic, complemented
166#16839620C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic
168#16839619C2211yescharacteristic
169#16839619C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic
171#16839617C2211yescharacteristic
172#16839617C2211yescharacteristic
173#16839617C2211yescharacteristic
174C2×#121×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C2×#121×C61C2211yescharacteristic, complemented
179C2×#121×C61C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#396C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#392C2211yescharacteristic, complemented
185C61×#392C2211yescharacteristic, complemented
186C61×#385C2211yescharacteristic, complemented
187C61×#385C2211yescharacteristic, complemented
188C61×#385C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
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
210C2×D4×D61—24no—
211C2×D4×D61—24no—
212C2×D4×D61—24no—
213C2×D4×D61—42no—
214C2×D4×D61—42no—
215C2×D4×D61—42no—
216C2×D4×D61—42no—
217C2×D4×D61—42no—
218C2×D4×D61—42no—
219C23×Dic61C2311yescharacteristic
220C23×Dic61C2311yescharacteristic
221C23×Dic61C2311yescharacteristic
222C22×C4×D61—24no—
223C22×C4×D61—42no—
224C22×C4×D61—42no—
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228C22×C4×D61C2311yescharacteristic
229C22×C4×D61C2311yescharacteristic
230C22×C4×D61C2311yescharacteristic
231C22×C4×D61C2311yescharacteristic
232C22×C4×D61C2311yescharacteristic
233#14519772—24no—
234#14519770—24no—
235#14519764—24no—
236#14519763—24no—
237#14519760—24no—
238#14519758—24no—
239#14519755—24no—
240#14519755—42no—
241#14519754—42no—
242#14519752—24no—
243#14519751—24no—
244#14519751—42no—
245#14519750—24no—
246#14519750—24no—
247#14519750—42no—
248#14519750—42no—
249#14519749—24no—
250#14519749—24no—
251#14519749—24no—
252#14519749—42no—
253#14519749—42no—
254#14519749—42no—
255#14519749—42no—
256#14519748—24no—
257#14519748—24no—
258#14519748—42no—
259#14519748—42no—
260#14519748—42no—
261#14519745—24no—
262#14519745—24no—
263#14519745—42no—
264#14519745—42no—
265#14519745—42no—
266#14519745—42no—
267C4×C22⋊D61—24no—
268#14519737—24no—
269C2×C4⋊Dic61C2311yescharacteristic
270C2×C4⋊Dic61C2311yescharacteristic
271C2×C4⋊Dic61C2311yescharacteristic
272C2×C4⋊Dic61C2311yescharacteristic
273C2×C4⋊Dic61C2311yescharacteristic
274C2×C4⋊Dic61C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C2×#11758196C2311yescharacteristic
285C2×#11758196C2311yescharacteristic
286C2×#11758196C2311yescharacteristic
287C2×#11758196C2311yescharacteristic
288C2×#11758196C2311yescharacteristic
289C4⋊C4×D61—24no—
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×C22⋊Dic61C2311yescharacteristic
298C2×C22⋊Dic61C2311yescharacteristic
299C2×C22⋊Dic61C2311yescharacteristic
300C2×C22⋊Dic61C2311yescharacteristic
301C2×C22⋊Dic61C2311yescharacteristic
302C2×C22⋊Dic61C2311yescharacteristic
303C2×C22⋊Dic61C2311yescharacteristic
304C2×C22⋊Dic61C2311yescharacteristic
305C2×C22⋊Dic61C2311yescharacteristic
306C2×C22⋊Dic61C2311yescharacteristic
307C2×C22⋊Dic61C2311yescharacteristic
308C2×C22⋊Dic61C2311yescharacteristic
309C2×C22⋊Dic61C2311yescharacteristic
310C2×#11758198—42no—
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×#11758198C2311yescharacteristic
337C22⋊C4×D61—24no—
338C22⋊C4×D61—42no—
339C22⋊C4×D61D418yescomplemented
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
358#14519684C2311yescharacteristic
359#14519684C2311yescharacteristic
360#14519684C2311yescharacteristic
361#14519684C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C22×D4×C61C2311yescharacteristic
365C22×D4×C61C2311yescharacteristic
366C22×D4×C61C2311yescharacteristic
367C22×D4×C61C2311yescharacteristic
368C22×D4×C61C2311yescharacteristic
369C22×D4×C61C2311yescharacteristic
370C22×D4×C61C2311yescharacteristic
371C22×D4×C61C2311yescharacteristic
372C23×C4×C61C2311yescharacteristic
373C23×C4×C61C2311yescharacteristic
374C23×C4×C61C2311yescharacteristic
375#121×C61—24no—
376#121×C61—24no—
377#121×C61—42no—
378#121×C61—42no—
379#121×C61—42no—
380#121×C61—42no—
381C2×C4⋊C4×C61C2311yescharacteristic
382C2×C4⋊C4×C61C2311yescharacteristic
383C2×C4⋊C4×C61C2311yescharacteristic
384C2×C4⋊C4×C61C2311yescharacteristic
385C2×C4⋊C4×C61C2311yescharacteristic
386C2×C4⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C22⋊C4×C61C2311yescharacteristic
393C2×C22⋊C4×C61C2311yescharacteristic
394C2×C22⋊C4×C61C2311yescharacteristic
395C2×C22⋊C4×C61C2311yescharacteristic
396C2×C22⋊C4×C61C2311yescharacteristic
397C2×C22⋊C4×C61C2311yescharacteristic
398C2×C22⋊C4×C61C2311yescharacteristic
399#95×C61C2311yescharacteristic
400#95×C61C2311yescharacteristic
401#95×C61C2311yescharacteristic
402#95×C61C2311yescharacteristic
403C24×C61C2411yescharacteristic
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C23×D61—22no—
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—22no—
413C23×D61—22no—
414C23×D61—22no—
415C23×D61—22no—
416C23×D61—22no—
417C23×D61—22no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61—41no—
422C23×D61—41no—
423C23×D61—41no—
424C23×D61—41no—
425C23×D61—41no—
426C23×D61—41no—
427C23×D61—41no—
428C23×D61C2×D414yes—
429C23×D61C2411yescharacteristic
430C23×D61C2411yescharacteristic
431C23×D61C2411yescharacteristic
432C23×D61C2411yescharacteristic
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—22no—
443C2×D4×C61—22no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C2×D4×C61—41no—
450C2×D4×C61—41no—
451C2×D4×C61—41no—
452C2×D4×C61—41no—
453C2×D4×C61—41no—
454C2×D4×C61—41no—
455C2×D4×C61—41no—
456C2×D4×C61—41no—
457C2×D4×C61—41no—
458C2×D4×C61—41no—
459C2×D4×C61—41no—
460C2×D4×C61—41no—
461C2×D4×C61—41no—
462C2×D4×C61—41no—
463C22×C4×C61—22no—
464C22×C4×C61—22no—
465C22×C4×C61—22no—
466C22×C4×C61—41no—
467C22×C4×C61—41no—
468C22×C4×C61—41no—
469C22×C4×C61—41no—
470C22×C4×C61—41no—
471C22×C4×C61—41no—
472C22×C4×C61C2411yescharacteristic
473C22×C4×C61C2411yescharacteristic
474C22×C4×C61C2411yescharacteristic
475C22×C4×C61C2411yescharacteristic
476C22×C4×C61C2411yescharacteristic
477C22×C4×C61C2411yescharacteristic
478C22×C4×C61C2411yescharacteristic
479C22×C4×C61C2411yescharacteristic
480C22×C4×C61C2411yescharacteristic
481C22×C4×C61C2411yescharacteristic
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—22no—
491C2×C22⋊D61—22no—
492C2×C22⋊D61—22no—
493C2×C22⋊D61—22no—
494C2×C22⋊D61—22no—
495C2×C22⋊D61—22no—
496C2×C22⋊D61—22no—
497C2×C22⋊D61—22no—
498C2×C22⋊D61—22no—
499C2×C22⋊D61—22no—
500C2×C22⋊D61—22no—
501C2×C22⋊D61—22no—
502C2×C22⋊D61—22no—
503C2×C22⋊D61—22no—
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—
517C2×C22⋊D61—41no—
518C2×C22⋊D61—41no—
519C2×C22⋊D61—41no—
520C2×C22⋊D61—41no—
521C2×C22⋊D61—41no—
522C2×C22⋊D61—41no—
523C2×C22⋊D61—41no—
524C22×Dic61—22no—
525C22×Dic61—22no—
526C22×Dic61—22no—
527C22×Dic61—41no—
528C22×Dic61—41no—
529C22×Dic61—41no—
530C22×Dic61—41no—
531C22×Dic61—41no—
532C22×Dic61—41no—
533C22×Dic61C2411yescharacteristic
534C22×Dic61C2411yescharacteristic
535C22×Dic61C2411yescharacteristic
536C22×Dic61C2411yescharacteristic
537C22×Dic61C2411yescharacteristic
538C22×Dic61C2411yescharacteristic
539C22×Dic61C2411yescharacteristic
540C22×Dic61C2411yescharacteristic
541C22×Dic61C2411yescharacteristic
542C22×Dic61C2411yescharacteristic
543C22×Dic61C2411yescharacteristic
544C22×Dic61C2411yescharacteristic
545D4×D61—416no—
546D4×D61—416no—
547D4×D61—416no—
548C2×D244—22no—
549C2×D244—22no—
550C2×D244—22no—
551C2×D244—22no—
552C2×D244—22no—
553C2×D244—22no—
554C2×D244—41no—
555C2×D244—41no—
556C2×D244—41no—
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—22no—
565C2×C4×D61—416no—
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—41no—
575C2×C4×D61—41no—
576C2×C4×D61—41no—
577C2×C4×D61—41no—
578C2×C4×D61—41no—
579C2×C4×D61—41no—
580C2×C4×D61C2×D414yes—
581C2×C4×D61C2×D414yes—
582C2×Dic122—22no—
583C2×Dic122—41no—
584C2×Dic122—41no—
585C4⋊C4×C61—22no—
586C4⋊C4×C61—22no—
587C4⋊C4×C61—22no—
588C4⋊C4×C61—41no—
589C4⋊C4×C61—41no—
590C4⋊C4×C61—41no—
591C22⋊C4×C61—22no—
592C22⋊C4×C61—22no—
593C22⋊C4×C61—22no—
594C22⋊C4×C61—22no—
595C22⋊C4×C61—22no—
596C22⋊C4×C61—41no—
597C22⋊C4×C61—41no—
598C22⋊C4×C61—41no—
599C22⋊C4×C61—41no—
600C22⋊C4×C61—41no—
601C22⋊C4×C61—41no—
602C22⋊C4×C61C2×D414yes—
603C22⋊Dic61—22no—
604C22⋊Dic61—22no—
605C22⋊Dic61—22no—
606C22⋊Dic61—22no—
607C22⋊Dic61—22no—
608C22⋊Dic61—22no—
609C22⋊Dic61—22no—
610C22⋊Dic61—22no—
611C22⋊Dic61—22no—
612C22⋊Dic61—41no—
613C22⋊Dic61—41no—
614C22⋊Dic61—41no—
615C22⋊Dic61—41no—
616C22⋊Dic61—41no—
617C22⋊Dic61—41no—
618C22⋊Dic61—41no—
619C22⋊Dic61—41no—
620C22⋊Dic61—41no—
621C22⋊Dic61—41no—
622C22⋊Dic61C2×D414yes—
623#11758198—22no—
624#11758198—22no—
625#11758198—22no—
626#11758198—22no—
627#11758198—22no—
628#11758198—22no—
629#11758198—22no—
630#11758198—22no—
631#11758198—22no—
632#11758198—22no—
633#11758198—22no—
634#11758198—22no—
635#11758198—41no—
636#11758198—41no—
637#11758198—41no—
638#11758198—41no—
639#11758198—41no—
640#11758198—41no—
641#11758198—41no—
642#11758198—41no—
643#11758198—41no—
644#11758198—41no—
645#11758198—41no—
646#11758198—41no—
647#11758198C2×D414yes—
648#11758198C2×D414yes—
649C4⋊Dic61—22no—
650C4⋊Dic61—22no—
651C4⋊Dic61—22no—
652C4⋊Dic61—41no—
653C4⋊Dic61—41no—
654C4⋊Dic61—41no—
655#11758196—22no—
656#11758196—22no—
657#11758196—22no—
658#11758196—22no—
659#11758196—22no—
660#11758196—22no—
661#11758196—22no—
662#11758196—22no—
663#11758196—41no—
664#11758196—41no—
665#11758196—41no—
666#11758196—41no—
667#11758196—41no—
668#11758196—41no—
669C4×Dic61—22no—
670C4×Dic61—22no—
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×C61—21no—
683C23×C61—21no—
684C23×C61—21no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C23×C61—21no—
690C23×C61—21no—
691C23×C61—21no—
692C23×C61—21no—
693C23×C61—21no—
694C23×C61—21no—
695C23×C61—21no—
696C23×C61—21no—
697C23×C61—21no—
698C23×C61—21no—
699C23×C61—21no—
700C23×C61—21no—
701C23×C61—21no—
702C23×C61—21no—
703C23×C61—21no—
704C23×C61C22×D412yes—
705C23×C61H(5,𝔽2)12yes—
706C23×C61C2511yescharacteristic
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—21no—
720C22×D61—21no—
721C22×D61—21no—
722C22×D61—21no—
723C22×D61—21no—
724C22×D61—28no—
725C22×D61—21no—
726C22×D61—21no—
727C22×D61—21no—
728C22×D61—21no—
729C22×D61—21no—
730C22×D61—21no—
731C22×D61—21no—
732C22×D61—44no—
733C22×D61—44no—
734C22×D61—44no—
735C22×D61—44no—
736C22×D61—44no—
737C22×D61—44no—
738C22×D61—44no—
739C22×D61—44no—
740C22×D61—44no—
741C22×D61—44no—
742C22×D61—44no—
743C22×D61—82no—
744C22×D61—82no—
745C22×D61—82no—
746C22×D61—82no—
747C22×D61—82no—
748C22×D61—82no—
749C22×D61—82no—
750C22×D61—82no—
751C22×D61C22×D412yes—
752C22×D61C22×D412yes—
753C22×D61H(5,𝔽2)12yes—
754C22×D61H(5,𝔽2)12yes—
755C22×D612−1+412yes—
756D4×C61—44no—
757D4×C61—44no—
758D4×C61—44no—
759D4×C61—82no—
760D4×C61—82no—
761D4×C61—82no—
762D4×C61—82no—
763D4×C61—82no—
764D4×C61—82no—
765D4×C61—82no—
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—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—21no—
788C2×C4×C61—21no—
789C2×C4×C61—21no—
790C2×C4×C61—21no—
791C2×C4×C61—21no—
792C2×C4×C61—21no—
793C2×C4×C61—44no—
794C2×C4×C61—82no—
795C2×C4×C61—82no—
796C2×C4×C61C22×D412yes—
797C2×C4×C61C22×D412yes—
798C2×C4×C61H(5,𝔽2)12yes—
799C22⋊D61—44no—
800C22⋊D61—44no—
801C22⋊D61—44no—
802C22⋊D61—44no—
803C22⋊D61—44no—
804C22⋊D61—44no—
805C22⋊D61—44no—
806C22⋊D61—44no—
807C22⋊D61—82no—
808C22⋊D61—82no—
809C22⋊D61—82no—
810C22⋊D61—82no—
811C22⋊D61—82no—
812C22⋊D61—82no—
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—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—21no—
837C2×Dic61—21no—
838C2×Dic61—21no—
839C2×Dic61—21no—
840C2×Dic61—21no—
841C2×Dic61—21no—
842C2×Dic61—21no—
843C2×Dic61—21no—
844C2×Dic61—21no—
845C2×Dic61—21no—
846C2×Dic61—44no—
847C2×Dic61—82no—
848C2×Dic61—82no—
849C2×Dic61C22×D412yes—
850C2×Dic61C22×D412yes—
851C2×Dic61H(5,𝔽2)12yes—
852D244—44no—
853D244—44no—
854D244—44no—
855C4×D61—28no—
856C4×D61—44no—
857C4×D61—44no—
858C4×D61—44no—
859C4×D61—44no—
860C4×D61—44no—
861C4×D61—82no—
862C4×D61—82no—
863Dic122—82no—
864#36706—611nomaximal, Sylow
865C22×C61—22no—
866C22×C61—22no—
867C22×C61—22no—
868C22×C61—22no—
869C22×C61—22no—
870C22×C61—22no—
871C22×C61—41no—
872C22×C61—41no—
873C22×C61—41no—
874C22×C61—41no—
875C22×C61—41no—
876C22×C61—41no—
877C22×C61—41no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61—41no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61C23×D411yescharacteristic
901C22×C61C2×H(5,𝔽2)11yescharacteristic
902C22×C61C2×H(5,𝔽2)11yescharacteristic
903C22×C61C2×H(5,𝔽2)11yescharacteristic
904C22×C61C2×H(5,𝔽2)11yescharacteristic
905C22×C61C2×H(5,𝔽2)11yescharacteristic
906C22×C61C2×2−1+411yescharacteristic
907C2×D61—22no—
908C2×D61—22no—
909C2×D61—22no—
910C2×D61—22no—
911C2×D61—22no—
912C2×D61—22no—
913C2×D61—22no—
914C2×D61—22no—
915C2×D61—22no—
916C2×D61—22no—
917C2×D61—22no—
918C2×D61—22no—
919C2×D61—416no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—41no—
926C2×D61—41no—
927C2×D61—41no—
928C2×D61—41no—
929C2×D61—41no—
930C2×D61—41no—
931C2×D61—41no—
932C2×D61—41no—
933C2×D61—41no—
934C2×D61—41no—
935C2×D61—88no—
936C2×D61—88no—
937C2×D61#53714yes—
938C4×C61—22no—
939C4×C61—22no—
940C4×C61—22no—
941C4×C61—41no—
942C4×C61—41no—
943C4×C61—41no—
944C4×C61—41no—
945C4×C61—41no—
946C4×C61—41no—
947C4×C61—41no—
948Dic61—22no—
949Dic61—22no—
950Dic61—22no—
951Dic61—41no—
952Dic61—41no—
953Dic61—41no—
954Dic61—41no—
955Dic61—41no—
956Dic61—41no—
957Dic61—41no—
958Dic61—41no—
959Dic61—41no—
960C2×#538—611no—
961C22×#121—611no—
962#2848—611no—
963#2847—611no—
964#2691—611no—
965#2691—611no—
966#2691—611no—
967#2691—611no—
968#2676—611no—
969#2676—611no—
970#2676—611no—
971#2676—611no—
972#2675—611no—
973#2675—611no—
974#2675—611no—
975#2675D6111yescharacteristic, complemented
976#2671—611no—
977#2671—611no—
978#2671—611no—
979#2671—611no—
980#2626—611no—
981#2617—611no—
982#2579—611no—
983#2579—611no—
984#2410—611no—
985#2410—611no—
986#2410—611no—
987#2410—611no—
988#2408—611no—
989#2408—611no—
990#2315—611no—
991C2×C61—42no—
992C2×C61—42no—
993C2×C61—81no—
994C2×C61—81no—
995C2×C61—81no—
996C2×C61C2×#53711yescharacteristic
997C2×C61#348411yescharacteristic
998C2×C61#348411yescharacteristic
999C2×C61#353611yescharacteristic
1000C2×C61#353611yescharacteristic
1001C2×C61#353711yescharacteristic
1002C2×C61#353711yescharacteristic
1003D61—24no—
1004D61—42no—
1005D61—42no—
1006D61—81no—
1007C23×D4—611no—
1008C23×D4—611no—
1009C23×D4—611no—
1010C24×C4—611no—
1011#538—1228no—
1012C2×#126—611no—
1013C2×#126—611no—
1014C2×#124—611no—
1015C2×#124—611no—
1016C2×#123—611no—
1017C2×#123—611no—
1018C2×C22⋊Q8—611no—
1019C2×C22⋊Q8—611no—
1020C2×C22⋊Q8—611no—
1021C2×#121—611no—
1022C2×#121—611no—
1023C2×#121—611no—
1024C2×#121—611no—
1025C2×#121—611no—
1026C2×#121—611no—
1027C2×#121—611no—
1028C2×#121—611no—
1029C2×#121—611no—
1030C2×#121—611no—
1031C2×#121—611no—
1032C2×#121—611no—
1033C2×#121—611no—
1034C2×#121—611no—
1035C2×#121—611no—
1036C2×#121—611no—
1037C2×#121—611no—
1038C2×#121—611no—
1039C2×#121—611no—
1040C2×#121—1228no—
1041C2×#121C2×D6111yescharacteristic
1042C2×#121C2×D6111yescharacteristic, complemented
1043C2×#121C2×D6111yescharacteristic, complemented
1044C2×#121C2×D6111yescharacteristic, complemented
1045C2×#121C2×D6111yescharacteristic, complemented
1046C2×#121C2×D6111yescharacteristic, complemented
1047C2×#120—611no—
1048C2×#120—611no—
1049C2×#120—611no—
1050C2×#120—611no—
1051C2×#120—611no—
1052C2×#120—611no—
1053C2×C4×D4—611no—
1054C2×C4×D4—611no—
1055C22×C4⋊C4—611no—
1056C22×C22⋊C4—611no—
1057C22×C22⋊C4—611no—
1058C22×C22⋊C4—611no—
1059C22×C22⋊C4—611no—
1060#399—611no—
1061#399—611no—
1062#398—611no—
1063#398—611no—
1064#398—611no—
1065#398—611no—
1066#397—611no—
1067#397—611no—
1068#396—611no—
1069#396—611no—
1070#396—611no—
1071#396—611no—
1072#396—611no—
1073#396—611no—
1074#396C2×D6111yescharacteristic, complemented
1075#396C2×D6111yescharacteristic, complemented
1076#394—611no—
1077#394—611no—
1078#394—611no—
1079#394—611no—
1080#394—611no—
1081#394—611no—
1082#394—611no—
1083#394—611no—
1084#394—611no—
1085#394—611no—
1086#394—611no—
1087#394—611no—
1088#394—611no—
1089#394—611no—
1090#394—611no—
1091#394—611no—
1092#393—611no—
1093#393—611no—
1094#392—611no—
1095#392—611no—
1096#392—611no—
1097#392—611no—
1098#392—611no—
1099#392—611no—
1100#392—611no—
1101#392—611no—
1102#392—611no—
1103#392—611no—
1104#392C2×D6111yescharacteristic, complemented
1105#392C2×D6111yescharacteristic, complemented
1106#392C2×D6111yescharacteristic, complemented
1107#392C2×D6111yescharacteristic, complemented
1108#390—611no—
1109#390—611no—
1110#390—611no—
1111#390—611no—
1112#387—611no—
1113#387—611no—
1114#387—611no—
1115#387—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#386—611no—
1127#386—611no—
1128#386—611no—
1129#386—611no—
1130#386—611no—
1131#386—611no—
1132#385—611no—
1133#385—611no—
1134#385—611no—
1135#385—611no—
1136#385—611no—
1137#385—611no—
1138#385—611no—
1139#385—611no—
1140#385—611no—
1141#385—611no—
1142#385—611no—
1143#385—611no—
1144#385—611no—
1145#385—611no—
1146#385—611no—
1147#385—611no—
1148#385—611no—
1149#385C2×D6111yescharacteristic, complemented
1150#385C2×D6111yescharacteristic, complemented
1151#385C2×D6111yescharacteristic, complemented
1152#380—611no—
1153#380—611no—
1154#380—611no—
1155#380—611no—
1156#380—611no—
1157#380—611no—
1158#380—611no—
1159#380—611no—
1160#379—611no—
1161#379—611no—
1162#379—611no—
1163#379—611no—
1164C61#3670611yescharacteristic, complemented, Sylow
1165C25—611no—
1166C25—611no—
1167C25—611no—
1168C22×Q8—611no—
1169C22×D4—611no—
1170C22×D4—611no—
1171C22×D4—611no—
1172C22×D4—611no—
1173C22×D4—611no—
1174C22×D4—611no—
1175C22×D4—611no—
1176C22×D4—611no—
1177C22×D4—611no—
1178C22×D4—611no—
1179C22×D4—611no—
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—611no—
1183C22×D4—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—1224no—
1187C22×D4—1224no—
1188C22×D4—1224no—
1189C22×D4—2442no—
1190C22×D4—2442no—
1191C22×D4—2442no—
1192C22×D4—2442no—
1193C22×D4—2442no—
1194C22×D4—2442no—
1195C22×D4C22×D6111yescharacteristic
1196C22×D4C22×D6111yescharacteristic
1197C22×D4C22×D6111yescharacteristic
1198C22×D4C22×D6111yescharacteristic
1199C22×D4C22×D6111yescharacteristic
1200C22×D4C22×D6111yescharacteristic
1201C22×D4C22×D6111yescharacteristic
1202C22×D4C22×D6111yescharacteristic
1203C22×D4C22×D6111yescharacteristic
1204C22×D4C22×D6111yescharacteristic
1205C23×C4—611no—
1206C23×C4—611no—
1207C23×C4—611no—
1208C23×C4—611no—
1209C23×C4—611no—
1210C23×C4—611no—
1211C23×C4—611no—
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—611no—
1216C23×C4—1224no—
1217C23×C4—2442no—
1218C23×C4—2442no—
1219C23×C4C22×D6111yescharacteristic
1220C23×C4C22×D6111yescharacteristic
1221C23×C4C22×D6111yescharacteristic
1222#126—1224no—
1223#126—1224no—
1224#124—1224no—
1225#124—1224no—
1226#123—1224no—
1227#123—1224no—
1228C22⋊Q8—1224no—
1229C22⋊Q8—2442no—
1230C22⋊Q8—2442no—
1231#121—24no—
1232#121—24no—
1233#121—42no—
1234#121—42no—
1235#121—42no—
1236#121—42no—
1237#121—1224no—
1238#121—1224no—
1239#121—1224no—
1240#121—1224no—
1241#121—1224no—
1242#121—1224no—
1243#121—1224no—
1244#121—1224no—
1245#121—1224no—
1246#121—2442no—
1247#121—2442no—
1248#121—2442no—
1249#121—2442no—
1250#121—2442no—
1251#121—2442no—
1252#121—2442no—
1253#121—2442no—
1254#121—2442no—
1255#121—2442no—
1256#120—1224no—
1257#120—1224no—
1258#120—2442no—
1259#120—2442no—
1260#120—2442no—
1261#120—2442no—
1262C4×D4—1224no—
1263C4×D4—1224no—
1264C2×C4⋊C4—611no—
1265C2×C4⋊C4—611no—
1266C2×C4⋊C4—611no—
1267C2×C4⋊C4—611no—
1268C2×C4⋊C4—611no—
1269C2×C4⋊C4—611no—
1270C2×C4⋊C4—611no—
1271C2×C4⋊C4—611no—
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—611no—
1274C2×C4⋊C4—611no—
1275C2×C4⋊C4—611no—
1276C2×C4⋊C4—611no—
1277C2×C4⋊C4—611no—
1278C2×C4⋊C4—611no—
1279C2×C4⋊C4—611no—
1280C2×C4⋊C4—611no—
1281C2×C4⋊C4—611no—
1282C2×C4⋊C4—611no—
1283C2×C4⋊C4—611no—
1284C2×C4⋊C4—1224no—
1285C2×C4⋊C4C22×D6111yescharacteristic
1286C2×C4⋊C4C22×D6111yescharacteristic
1287C2×C4⋊C4C22×D6111yescharacteristic
1288C2×C4⋊C4C22×D6111yescharacteristic
1289C2×C4⋊C4C22×D6111yescharacteristic
1290C2×C4⋊C4C22×D6111yescharacteristic
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—618no—
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—611no—
1311C2×C22⋊C4—611no—
1312C2×C22⋊C4—611no—
1313C2×C22⋊C4—611no—
1314C2×C22⋊C4—611no—
1315C2×C22⋊C4—611no—
1316C2×C22⋊C4—611no—
1317C2×C22⋊C4—611no—
1318C2×C22⋊C4—611no—
1319C2×C22⋊C4—611no—
1320C2×C22⋊C4—611no—
1321C2×C22⋊C4—611no—
1322C2×C22⋊C4—611no—
1323C2×C22⋊C4—611no—
1324C2×C22⋊C4—611no—
1325C2×C22⋊C4—611no—
1326C2×C22⋊C4—611no—
1327C2×C22⋊C4—611no—
1328C2×C22⋊C4—611no—
1329C2×C22⋊C4—611no—
1330C2×C22⋊C4—611no—
1331C2×C22⋊C4—611no—
1332C2×C22⋊C4—611no—
1333C2×C22⋊C4—611no—
1334C2×C22⋊C4—611no—
1335C2×C22⋊C4—611no—
1336C2×C22⋊C4—611no—
1337C2×C22⋊C4—611no—
1338C2×C22⋊C4—1224no—
1339C2×C22⋊C4—2442no—
1340C2×C22⋊C4—2442no—
1341C2×C22⋊C4C22×D6111yescharacteristic
1342C2×C22⋊C4C22×D6111yescharacteristic
1343C2×C22⋊C4C22×D6111yescharacteristic
1344C2×C22⋊C4C22×D6111yescharacteristic
1345C2×C22⋊C4C22×D6111yescharacteristic
1346C2×C22⋊C4C22×D6111yescharacteristic
1347C2×C22⋊C4C22×D6111yescharacteristic
1348C2×C22⋊C4C22×D6111yescharacteristic
1349C2×C22⋊C4C22×D6111yescharacteristic
1350C2×C22⋊C4C22×D6111yescharacteristic
1351C2×C22⋊C4C22×D6111yescharacteristic
1352C2×C22⋊C4C22×D6111yescharacteristic
1353C2×C42—611no—
1354C2×C42—611no—
1355#95—611no—
1356#95—611no—
1357#95—611no—
1358#95—611no—
1359#95—611no—
1360#95—611no—
1361#95—611no—
1362#95—611no—
1363#95—611no—
1364#95—611no—
1365#95—611no—
1366#95—611no—
1367#95—611no—
1368#95—611no—
1369#95—611no—
1370#95—611no—
1371#95—611no—
1372#95—611no—
1373#95—611no—
1374#95—611no—
1375#95C22×D6111yescharacteristic
1376#95C22×D6111yescharacteristic
1377#95C22×D6111yescharacteristic
1378#95C22×D6111yescharacteristic
1379C24—611no—
1380C24—611no—
1381C24—611no—
1382C24—614no—
1383C24—611no—
1384C24—1222no—
1385C24—1222no—
1386C24—1222no—
1387C24—1222no—
1388C24—1222no—
1389C24—1222no—
1390C24—1222no—
1391C24—1222no—
1392C24—1222no—
1393C24—1222no—
1394C24—2441no—
1395C24—2441no—
1396C24—2441no—
1397C24—2441no—
1398C24—2441no—
1399C24—2441no—
1400C24—2441no—
1401C24—2441no—
1402C24—2441no—
1403C24—2441no—
1404C24C23×D6111yescharacteristic
1405C24C23×D6111yescharacteristic
1406C24C23×D6111yescharacteristic
1407C24C23×D6111yescharacteristic
1408C24C23×D6111yescharacteristic
1409C2×Q8—1222no—
1410C2×Q8—2441no—
1411C2×Q8—2441no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—41no—
1437C2×D4—41no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—1222no—
1443C2×D4—1222no—
1444C2×D4—1222no—
1445C2×D4—1222no—
1446C2×D4—1222no—
1447C2×D4—1222no—
1448C2×D4—1222no—
1449C2×D4—1222no—
1450C2×D4—1222no—
1451C2×D4—1222no—
1452C2×D4—1222no—
1453C2×D4—1222no—
1454C2×D4—1222no—
1455C2×D4—1222no—
1456C2×D4—1222no—
1457C2×D4—1222no—
1458C2×D4—1222no—
1459C2×D4—1222no—
1460C2×D4—1222no—
1461C2×D4—1222no—
1462C2×D4—1222no—
1463C2×D4—1222no—
1464C2×D4—1222no—
1465C2×D4—1222no—
1466C2×D4—1222no—
1467C2×D4—1222no—
1468C2×D4—1222no—
1469C2×D4—1222no—
1470C2×D4—2441no—
1471C2×D4—2441no—
1472C2×D4—2441no—
1473C2×D4—24416no—
1474C2×D4—2441no—
1475C2×D4—2441no—
1476C2×D4—2441no—
1477C2×D4—2441no—
1478C2×D4—2441no—
1479C2×D4—2441no—
1480C2×D4—2441no—
1481C2×D4—2441no—
1482C2×D4—2441no—
1483C2×D4—2441no—
1484C2×D4—2441no—
1485C2×D4—2441no—
1486C2×D4—2441no—
1487C2×D4—2441no—
1488C2×D4—2441no—
1489C2×D4—2441no—
1490C2×D4—2441no—
1491C2×D4—2441no—
1492C2×D4—2441no—
1493C2×D4—2441no—
1494C2×D4—24416no—
1495C2×D4—24416no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—611no—
1506C22×C4—611no—
1507C22×C4—611no—
1508C22×C4—614no—
1509C22×C4—614no—
1510C22×C4—611no—
1511C22×C4—611no—
1512C22×C4—611no—
1513C22×C4—611no—
1514C22×C4—611no—
1515C22×C4—611no—
1516C22×C4—611no—
1517C22×C4—611no—
1518C22×C4—611no—
1519C22×C4—1222no—
1520C22×C4—1222no—
1521C22×C4—1222no—
1522C22×C4—1222no—
1523C22×C4—1222no—
1524C22×C4—1222no—
1525C22×C4—1222no—
1526C22×C4—1222no—
1527C22×C4—1222no—
1528C22×C4—1222no—
1529C22×C4—1222no—
1530C22×C4—2441no—
1531C22×C4—2441no—
1532C22×C4—2441no—
1533C22×C4—2441no—
1534C22×C4—2441no—
1535C22×C4—2441no—
1536C22×C4—2441no—
1537C22×C4—2441no—
1538C22×C4—2441no—
1539C22×C4—2441no—
1540C22×C4—2441no—
1541C22×C4—2441no—
1542C22×C4—2441no—
1543C22×C4—2441no—
1544C22×C4—24416no—
1545C22×C4—2441no—
1546C22×C4—2441no—
1547C22×C4—2441no—
1548C22×C4—2441no—
1549C22×C4—2441no—
1550C22×C4—2441no—
1551C22×C4C23×D6111yescharacteristic
1552C22×C4C23×D6111yescharacteristic
1553C22×C4C23×D6111yescharacteristic
1554C22×C4C23×D6111yescharacteristic
1555C22×C4C23×D6111yescharacteristic
1556C22×C4C23×D6111yescharacteristic
1557C22×C4C23×D6111yescharacteristic
1558C22×C4C23×D6111yescharacteristic
1559C22×C4C23×D6111yescharacteristic
1560C22×C4C23×D6111yescharacteristic
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—41no—
1565C4⋊C4—41no—
1566C4⋊C4—41no—
1567C4⋊C4—1222no—
1568C4⋊C4—1222no—
1569C4⋊C4—1222no—
1570C4⋊C4—1222no—
1571C4⋊C4—1222no—
1572C4⋊C4—1222no—
1573C4⋊C4—1222no—
1574C4⋊C4—1222no—
1575C4⋊C4—1222no—
1576C4⋊C4—1222no—
1577C4⋊C4—1222no—
1578C4⋊C4—2441no—
1579C4⋊C4—2441no—
1580C4⋊C4—2441no—
1581C4⋊C4—2441no—
1582C4⋊C4—2441no—
1583C4⋊C4—2441no—
1584C4⋊C4—2441no—
1585C4⋊C4—2441no—
1586C4⋊C4—2441no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—614no—
1599C22⋊C4—614no—
1600C22⋊C4—614no—
1601C22⋊C4—1222no—
1602C22⋊C4—1222no—
1603C22⋊C4—1222no—
1604C22⋊C4—1222no—
1605C22⋊C4—1222no—
1606C22⋊C4—1222no—
1607C22⋊C4—1222no—
1608C22⋊C4—1222no—
1609C22⋊C4—1222no—
1610C22⋊C4—1222no—
1611C22⋊C4—1222no—
1612C22⋊C4—1222no—
1613C22⋊C4—1222no—
1614C22⋊C4—1222no—
1615C22⋊C4—1222no—
1616C22⋊C4—1222no—
1617C22⋊C4—1222no—
1618C22⋊C4—1222no—
1619C22⋊C4—1222no—
1620C22⋊C4—1222no—
1621C22⋊C4—1222no—
1622C22⋊C4—2441no—
1623C22⋊C4—2441no—
1624C22⋊C4—2441no—
1625C22⋊C4—2441no—
1626C22⋊C4—2441no—
1627C22⋊C4—2441no—
1628C22⋊C4—2441no—
1629C22⋊C4—2441no—
1630C22⋊C4—2441no—
1631C22⋊C4—2441no—
1632C22⋊C4—2441no—
1633C22⋊C4—2441no—
1634C22⋊C4—2441no—
1635C22⋊C4—2441no—
1636C22⋊C4—2441no—
1637C22⋊C4—2441no—
1638C22⋊C4—2441no—
1639C22⋊C4—2441no—
1640C22⋊C4—2441no—
1641C22⋊C4—2441no—
1642C22⋊C4—2441no—
1643C22⋊C4—2441no—
1644C22⋊C4D4×D6114yes—
1645C42—1222no—
1646C42—1222no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—612no—
1681C23—612no—
1682C23—612no—
1683C23—612no—
1684C23—612no—
1685C23—1228no—
1686C23—1228no—
1687C23—1221no—
1688C23—1221no—
1689C23—1221no—
1690C23—1221no—
1691C23—1221no—
1692C23—1221no—
1693C23—1221no—
1694C23—1221no—
1695C23—1221no—
1696C23—1221no—
1697C23—1221no—
1698C23—1221no—
1699C23—1221no—
1700C23—1221no—
1701C23—1221no—
1702C23—1221no—
1703C23—1221no—
1704C23—1221no—
1705C23—1221no—
1706C23—1221no—
1707C23—1221no—
1708C23—1221no—
1709C23—1221no—
1710C23—4882no—
1711C23—4882no—
1712C23—4882no—
1713C23—4882no—
1714C23—4882no—
1715C23—4882no—
1716C23—4882no—
1717C23—4882no—
1718C23—2444no—
1719C23—2444no—
1720C23—2444no—
1721C23—2444no—
1722C23—2444no—
1723C23—2444no—
1724C23—2444no—
1725C23—2444no—
1726C23—2444no—
1727C23—2444no—
1728C23—2444no—
1729C23C2×D4×D6112yes—
1730C23#1451982212yes—
1731C23C24×D6111yescharacteristic
1732Q8—4882no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—82no—
1737D4—82no—
1738D4—82no—
1739D4—82no—
1740D4—82no—
1741D4—82no—
1742D4—82no—
1743D4—4882no—
1744D4—4882no—
1745D4—4882no—
1746D4—4882no—
1747D4—4882no—
1748D4—4882no—
1749D4—2444no—
1750D4—2444no—
1751D4—2444no—
1752D4—2444no—
1753D4—2444no—
1754D4—2444no—
1755D4—2444no—
1756D4—2444no—
1757D4—2444no—
1758D4—2444no—
1759D4—2444no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—44no—
1788C2×C4—82no—
1789C2×C4—82no—
1790C2×C4—612no—
1791C2×C4—612no—
1792C2×C4—612no—
1793C2×C4—1228no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—1221no—
1799C2×C4—1221no—
1800C2×C4—1221no—
1801C2×C4—1221no—
1802C2×C4—1221no—
1803C2×C4—1221no—
1804C2×C4—1221no—
1805C2×C4—1221no—
1806C2×C4—1221no—
1807C2×C4—1221no—
1808C2×C4—1221no—
1809C2×C4—1221no—
1810C2×C4—1221no—
1811C2×C4—1221no—
1812C2×C4—1221no—
1813C2×C4—1221no—
1814C2×C4—1221no—
1815C2×C4—1221no—
1816C2×C4—1221no—
1817C2×C4—1221no—
1818C2×C4—1221no—
1819C2×C4—1221no—
1820C2×C4—1221no—
1821C2×C4—1221no—
1822C2×C4—1221no—
1823C2×C4—1221no—
1824C2×C4—1221no—
1825C2×C4—1221no—
1826C2×C4—1221no—
1827C2×C4—4882no—
1828C2×C4—4882no—
1829C2×C4—4882no—
1830C2×C4—4882no—
1831C2×C4—2444no—
1832C2×C4—2444no—
1833C2×C4—2444no—
1834C2×C4—2444no—
1835C2×C4—2444no—
1836C2×C4—2444no—
1837C2×C4C2×D4×D6112yes—
1838C2×C4C2×D4×D6112yes—
1839C2×C4#1451982212yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—614no—
1876C22—1222no—
1877C22—1222no—
1878C22—1222no—
1879C22—1222no—
1880C22—1222no—
1881C22—1222no—
1882C22—1222no—
1883C22—1222no—
1884C22—1222no—
1885C22—1222no—
1886C22—1222no—
1887C22—1222no—
1888C22—4888no—
1889C22—4888no—
1890C22—24416no—
1891C22—2441no—
1892C22—2441no—
1893C22—2441no—
1894C22—2441no—
1895C22—2441no—
1896C22—2441no—
1897C22—2441no—
1898C22—2441no—
1899C22—2441no—
1900C22—2441no—
1901C22—2441no—
1902C22—2441no—
1903C22—2441no—
1904C22—2441no—
1905C22—2441no—
1906C22C22×D4×D6111yescharacteristic
1907C22H(5,𝔽2)×D6111yescharacteristic
1908C22H(5,𝔽2)×D6111yescharacteristic
1909C22H(5,𝔽2)×D6111yescharacteristic
1910C22C2×#1451982211yescharacteristic
1911C22C2×#1451982211yescharacteristic
1912C222−1+4×D6111yescharacteristic
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—1222no—
1924C4—1222no—
1925C4—1222no—
1926C4—2441no—
1927C4—2441no—
1928C4—2441no—
1929C4—2441no—
1930C4—2441no—
1931C4—2441no—
1932C4—2441no—
1933C4—2441no—
1934C4—2441no—
1935C2—42no—
1936C2—42no—
1937C2—81no—
1938C2—81no—
1939C2—81no—
1940C2—1224no—
1941C2—4881no—
1942C2—2442no—
1943C2—2442no—
1944C2#537×D6111yescharacteristic
1945C2#2145944711yescharacteristic
1946C2#2145944711yescharacteristic
1947C2#2146003611yescharacteristic
1948C2#2146003711yescharacteristic
1949C2#2146005011yescharacteristic
1950C2#2146005311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2675C2
hypercenter#2675D61
hypocenterC61#36706
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2675

Complements

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

NH ≅ G/Ntype
1. C2×#16840344C2semidirect
2. C2×#121×D61C2semidirect
3. #21454105C2semidirect
4. #21454098C2semidirect
5. #21452306C2semidirect
6. #21452304C2semidirect
7. #21452298C2semidirect
8. #21452296C2semidirect
9. #21452126C2semidirect
10. #21452125C2semidirect
11. #21452114C2semidirect
12. #21452113C2semidirect
13. #21452111C2semidirect
14. #21452109C2semidirect
15. #21452109C2semidirect
16. #21452059C2semidirect
17. #21452057C2semidirect
18. #21452051C2semidirect
19. #21452049C2semidirect
20. #21451629C2semidirect
21. #21451552C2semidirect
22. #21451164C2semidirect
23. #21451161C2semidirect
24. #21449190C2semidirect
25. #21449190C2semidirect
26. #21449186C2semidirect
27. #21449186C2semidirect
28. #21449171C2semidirect
29. #21449168C2semidirect
30. #21448430C2semidirect
31. C61×#2675C2semidirect
37. C2×#14519772C22semidirect
38. C2×#14519770C22semidirect
39. C2×#14519764C22semidirect
40. C2×#14519763C22semidirect
41. C2×#14519760C22semidirect
42. C2×#14519758C22semidirect
44. C2×#14519755C22semidirect
45. C2×#14519754C22semidirect
48. C2×#14519751C22semidirect
51. C2×#14519750C22semidirect
52. C2×#14519750C22semidirect
55. C2×#14519749C22semidirect
56. C2×#14519749C22semidirect
57. C2×#14519749C22semidirect
58. C2×#14519749C22semidirect
59. C2×#14519749C22semidirect
62. C2×#14519748C22semidirect
63. C2×#14519748C22semidirect
64. C2×#14519748C22semidirect
79. #16839698C22semidirect
80. #16839697C22semidirect
81. #16839696C22semidirect
82. #16839695C22semidirect
83. #16839693C22semidirect
84. #16839692C22semidirect
85. #16839689C22semidirect
86. #16839687C22semidirect
87. #16839685C22semidirect
88. #16839685C22semidirect
89. #16839685C22semidirect
90. #16839685C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
93. #16839680C22semidirect
94. #16839679C22semidirect
95. #16839679C22semidirect
96. #16839678C22semidirect
97. #16839678C22semidirect
98. #16839677C22semidirect
99. #16839677C22semidirect
100. #16839677C22semidirect
101. #16839677C22semidirect
102. #16839677C22semidirect
103. #16839677C22semidirect
104. #16839676C22semidirect
105. #16839676C22semidirect
106. #16839676C22semidirect
107. #16839676C22semidirect
108. #16839676C22semidirect
109. #16839675C22semidirect
110. #16839674C22semidirect
111. #16839671C22semidirect
112. #16839671C22semidirect
113. #16839671C22semidirect
114. #16839670C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
117. #16839670C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839665C22semidirect
122. #16839663C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839648C22semidirect
126. #16839647C22semidirect
127. #16839644C22semidirect
128. #16839643C22semidirect
129. #16839642C22semidirect
130. #16839642C22semidirect
131. #16839642C22semidirect
132. #16839642C22semidirect
133. #16839641C22semidirect
134. #16839641C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
141. #16839638C22semidirect
142. #16839638C22semidirect
143. #16839638C22semidirect
144. #16839638C22semidirect
145. #16839637C22semidirect
146. #16839637C22semidirect
149. #16839636C22semidirect
150. #16839636C22semidirect
151. #16839636C22semidirect
152. #16839635C22semidirect
153. #16839635C22semidirect
154. #16839635C22semidirect
155. #16839634C22semidirect
156. #16839634C22semidirect
159. #16839633C22semidirect
160. #16839633C22semidirect
161. #16839633C22semidirect
162. #16839622C22semidirect
165. #16839621C22semidirect
166. #16839620C22semidirect
169. #16839619C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#121×C61C22semidirect
178. C2×#121×C61C22semidirect
179. C2×#121×C61C22semidirect
180. C61×#396C22semidirect
181. C61×#396C22semidirect
182. C61×#392C22semidirect
183. C61×#392C22semidirect
184. C61×#392C22semidirect
185. C61×#392C22semidirect
186. C61×#385C22semidirect
187. C61×#385C22semidirect
188. C61×#385C22semidirect
339. C22⋊C4×D61D4semidirect
975. #2675D61semidirect
1042. C2×#121C2×D61semidirect
1043. C2×#121C2×D61semidirect
1044. C2×#121C2×D61semidirect
1045. C2×#121C2×D61semidirect
1046. C2×#121C2×D61semidirect
1074. #396C2×D61semidirect
1075. #396C2×D61semidirect
1104. #392C2×D61semidirect
1105. #392C2×D61semidirect
1106. #392C2×D61semidirect
1107. #392C2×D61semidirect
1149. #385C2×D61semidirect
1150. #385C2×D61semidirect
1151. #385C2×D61semidirect
1164. C61#36706semidirect

Maximal subgroups

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

subgroupindex
C2×#168403442
C2×#121×D612
#214541052
#214540982
#214523062
#214523042
#214522982
#214522962
#214521262
#214521252
#214521142
#214521132
#214521112
#214521092
#214520592
#214520572
#214520512
#214520492
#214516292
#214515522
#214511642
#214511612
#214491902
#214491862
#214491712
#214491682
#214484302
C61×#26752
#3670661