Finite Group Databasebeta

← #29887035

Subgroups — #29887035

Order 15616.

2602 conjugacy classes of subgroups.

The subgroup lattice has 1762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840353C211yesmaximal, characteristic, complemented
2C2×#123×D61C211yesmaximal, characteristic, complemented
3#21454107C211yesmaximal, characteristic, complemented
4#21454100C211yesmaximal, characteristic, complemented
5#21452525C211yesmaximal, characteristic, complemented
6#21452523C211yesmaximal, characteristic, complemented
7#21452521C211yesmaximal, characteristic, complemented
8#21452519C211yesmaximal, characteristic, complemented
9#21452494C211yesmaximal, characteristic, complemented
10#21452492C211yesmaximal, characteristic, complemented
11#21452486C211yesmaximal, characteristic, complemented
12#21452187C211yesmaximal, characteristic, complemented
13#21452186C211yesmaximal, characteristic, complemented
14#21452183C211yesmaximal, characteristic, complemented
15#21452179C211yesmaximal, characteristic, complemented
16#21452175C211yesmaximal, characteristic, complemented
17#21452171C211yesmaximal, characteristic, complemented
18#21452170C211yesmaximal, characteristic, complemented
19#21452166C211yesmaximal, characteristic, complemented
20#21451625C211yesmaximal, characteristic, complemented
21#21451558C211yesmaximal, characteristic, complemented
22#21451170C211yesmaximal, characteristic, complemented
23#21451161C211yesmaximal, characteristic, complemented
24#21449203C211yesmaximal, characteristic, complemented
25#21449201C211yesmaximal, characteristic, complemented
26#21449199C211yesmaximal, characteristic, complemented
27#21449197C211yesmaximal, characteristic, complemented
28#21449173C211yesmaximal, characteristic, complemented
29#21449168C211yesmaximal, characteristic, complemented
30#21448434C211yesmaximal, characteristic, complemented
31C61×#2705C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34#16840353—28no—
35C2×#14519772C2211yescharacteristic, complemented
36C2×#14519769C2211yescharacteristic, complemented
37C2×#14519768C2211yescharacteristic, complemented
38C2×#14519762C2211yescharacteristic
39C2×#14519762C2211yescharacteristic
40C2×#14519762C2211yescharacteristic
41C2×#14519761C2211yescharacteristic
42C2×#14519761C2211yescharacteristic, complemented
43C2×#14519760C2211yescharacteristic
44C2×#14519759C2211yescharacteristic
45C2×#14519759C2211yescharacteristic
46C2×#14519759C2211yescharacteristic
47C2×#14519759C2211yescharacteristic, complemented
48C2×#14519758C2211yescharacteristic
49#123×D61—28no—
50C2×#14519757C2211yescharacteristic
51C2×#14519757C2211yescharacteristic, complemented
52C2×#14519756C2211yescharacteristic, complemented
53C2×#14519755C2211yescharacteristic, complemented
54C2×#14519754C2211yescharacteristic, complemented
55C2×#14519752C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic
59C2×#14519749C2211yescharacteristic
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519748C2211yescharacteristic
62C2×#14519747C2211yescharacteristic
63C2×#14519747C2211yescharacteristic
64C2×#14519745C2211yescharacteristic
65C2×#14519745C2211yescharacteristic
66C2×C4×D244C2211yescharacteristic
67C2×#14519737C2211yescharacteristic
68C2×#14519735C2211yescharacteristic
69C2×#14519734C2211yescharacteristic
70C2×C4⋊C4×D61C2211yescharacteristic
71C2×C4⋊C4×D61C2211yescharacteristic
72C2×C22⋊C4×D61C2211yescharacteristic
73C2×C22⋊C4×D61C2211yescharacteristic
74C2×C22⋊C4×D61C2211yescharacteristic
75#16839697C2211yescharacteristic, complemented
76#16839696C2211yescharacteristic, complemented
77#16839695C2211yescharacteristic, complemented
78#16839694C2211yescharacteristic, complemented
79#16839692C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839686C2211yescharacteristic, complemented
83#16839686C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839685C2211yescharacteristic, complemented
89#16839685C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839684C2211yescharacteristic, complemented
94#16839684C2211yescharacteristic, complemented
95#16839684C2211yescharacteristic, complemented
96#16839680C2211yescharacteristic
97#16839680C2211yescharacteristic, complemented
98#16839679C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic, complemented
100#16839678C2211yescharacteristic
101#16839678C2211yescharacteristic
102#16839678C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic, complemented
104#16839678C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839677C2211yescharacteristic, complemented
107#16839677C2211yescharacteristic, complemented
108#16839676C2211yescharacteristic
109#16839676C2211yescharacteristic, complemented
110#16839675C2211yescharacteristic, complemented
111#16839674C2211yescharacteristic, complemented
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic
114#16839671C2211yescharacteristic
115#16839671C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839665C2211yescharacteristic, complemented
118#16839664C2211yescharacteristic
119#16839664C2211yescharacteristic, complemented
120#16839663C2211yescharacteristic, complemented
121#16839662C2211yescharacteristic
122#16839662C2211yescharacteristic
123#16839662C2211yescharacteristic, complemented
124#16839662C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839661C2211yescharacteristic, complemented
128#16839660C2211yescharacteristic, complemented
129#16839659C2211yescharacteristic, complemented
130#16839659C2211yescharacteristic, complemented
131#16839658C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839657C2211yescharacteristic, complemented
134#16839656C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839654C2211yescharacteristic, complemented
137#16839653C2211yescharacteristic, complemented
138#16839652C2211yescharacteristic, complemented
139#16839651C2211yescharacteristic, complemented
140#16839650C2211yescharacteristic, complemented
141#16839648C2211yescharacteristic, complemented
142#16839646C2211yescharacteristic, complemented
143#16839644C2211yescharacteristic, complemented
144#16839641C2211yescharacteristic, complemented
145#16839640C2211yescharacteristic
146#16839640C2211yescharacteristic
147#16839640C2211yescharacteristic, complemented
148#16839638C2211yescharacteristic
149#16839638C2211yescharacteristic
150#16839638C2211yescharacteristic, complemented
151#16839637C2211yescharacteristic, complemented
152#16839637C2211yescharacteristic, complemented
153#16839637C2211yescharacteristic, complemented
154#16839636C2211yescharacteristic
155#16839636C2211yescharacteristic
156#16839636C2211yescharacteristic, complemented
157#16839636C2211yescharacteristic, complemented
158#16839636C2211yescharacteristic, complemented
159#16839634C2211yescharacteristic, complemented
160#16839633C2211yescharacteristic
161#16839633C2211yescharacteristic
162#16839633C2211yescharacteristic, 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×#126×C61C2211yescharacteristic, complemented
175C2×#123×C61C2211yescharacteristic
176C61×#399C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#396C2211yescharacteristic, complemented
179C61×#394C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#392C2211yescharacteristic
182C61×#390C2211yescharacteristic
183C61×#390C2211yescharacteristic, complemented
184C61×#389C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#387C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
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
204C2×D4×D61—24no—
205C2×D4×D61—42no—
206C2×D4×D61—42no—
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61—24no—
210C22×C4×D61—42no—
211C22×C4×D61—42no—
212C22×C4×D61C2311yescharacteristic
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217C22×C4×D61C2311yescharacteristic
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220#14519772—24no—
221#14519769—24no—
222#14519768—24no—
223#14519762—24no—
224#14519762—24no—
225#14519762—24no—
226#14519761—24no—
227#14519761—24no—
228#14519760—24no—
229#14519759—24no—
230#14519759—24no—
231#14519759—24no—
232#14519759—24no—
233#14519758—24no—
234#14519757—24no—
235#14519757—42no—
236#14519756—42no—
237#14519755—24no—
238#14519754—24no—
239#14519752—42no—
240#14519750—24no—
241#14519750—42no—
242#14519749—42no—
243#14519749—42no—
244#14519749—42no—
245#14519748—42no—
246#14519747—42no—
247#14519747—42no—
248#14519745—42no—
249#14519745—42no—
250C4×D244—24no—
251#14519737—24no—
252#14519735—42no—
253#14519734—42no—
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×C4⋊Dic61C2311yescharacteristic
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C4⋊C4×D61—24no—
284C4⋊C4×D61D418yescomplemented
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×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C22⋊C4×D61—24no—
330C22⋊C4×D61—24no—
331C22⋊C4×D61—24no—
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358#126×C61—24no—
359#123×C61—24no—
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊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×C42×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—22no—
399C23×D61—22no—
400C23×D61—22no—
401C23×D61—22no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C23×D61C2411yescharacteristic
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—41no—
416C2×D4×C61—41no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—41no—
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61—41no—
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478D4×D61—416no—
479C2×D244—22no—
480C2×D244—22no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—41no—
486C2×D244—41no—
487C2×D244—41no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×C4×D61—22no—
492C2×C4×D61—22no—
493C2×C4×D61—22no—
494C2×C4×D61—22no—
495C2×C4×D61—22no—
496C2×C4×D61—22no—
497C2×C4×D61—22no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—41no—
501C2×C4×D61—41no—
502C2×C4×D61—41no—
503C2×C4×D61—41no—
504C2×C4×D61—41no—
505C2×C4×D61—41no—
506C2×C4×D61—41no—
507C2×C4×D61—41no—
508C2×C4×D61—41no—
509C2×C4×D61—41no—
510C2×C4×D61—416no—
511C2×C4×D61—41no—
512C2×C4×D61—41no—
513C2×C4×D61C2×D414yes—
514C2×C4×D61C2×D414yes—
515C2×C4×D61C2×D414yes—
516C2×Dic122—22no—
517C2×Dic122—41no—
518C2×Dic122—41no—
519C4⋊C4×C61—22no—
520C4⋊C4×C61—22no—
521C4⋊C4×C61—22no—
522C4⋊C4×C61—41no—
523C4⋊C4×C61—41no—
524C4⋊C4×C61—41no—
525C4⋊C4×C61—41no—
526C4⋊C4×C61—41no—
527C4⋊C4×C61C2×D414yes—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—41no—
535C22⋊C4×C61—41no—
536C22⋊C4×C61—41no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61—41no—
540C22⋊C4×C61—41no—
541C22⋊C4×C61—41no—
542C42×C61—22no—
543C42×C61—41no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—41no—
551C22⋊Dic61—41no—
552C22⋊Dic61—41no—
553C22⋊Dic61—41no—
554C22⋊Dic61—41no—
555C22⋊Dic61—41no—
556#11758198—22no—
557#11758198—22no—
558#11758198—22no—
559#11758198—22no—
560#11758198—22no—
561#11758198—22no—
562#11758198—22no—
563#11758198—22no—
564#11758198—22no—
565#11758198—22no—
566#11758198—22no—
567#11758198—22no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—41no—
575#11758198—41no—
576#11758198—41no—
577#11758198—41no—
578#11758198—41no—
579#11758198—41no—
580#11758198—41no—
581#11758198—41no—
582#11758198—41no—
583#11758198—41no—
584#11758198—41no—
585#11758198—41no—
586#11758198—41no—
587#11758198—41no—
588C4⋊Dic61—22no—
589C4⋊Dic61—22no—
590C4⋊Dic61—22no—
591C4⋊Dic61—22no—
592C4⋊Dic61—22no—
593C4⋊Dic61—41no—
594C4⋊Dic61—41no—
595C4⋊Dic61—41no—
596C4⋊Dic61—41no—
597C4⋊Dic61—41no—
598C4⋊Dic61C2×D414yes—
599#11758196—22no—
600#11758196—22no—
601#11758196—22no—
602#11758196—22no—
603#11758196—22no—
604#11758196—22no—
605#11758196—41no—
606#11758196—41no—
607#11758196—41no—
608#11758196—41no—
609#11758196—41no—
610#11758196—41no—
611#11758196—41no—
612#11758196—41no—
613#11758196—41no—
614#11758196—41no—
615#11758196C2×D414yes—
616#11758196C2×D414yes—
617C4×Dic61—22no—
618C4×Dic61—41no—
619C4×Dic61—41no—
620C4×Dic61—41no—
621C23×C61—21no—
622C23×C61—21no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61H(5,𝔽2)12yes—
642C23×C61C2511yescharacteristic
643C22×D61—21no—
644C22×D61—21no—
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—28no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—44no—
669C22×D61—44no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—82no—
678C22×D61—82no—
679C22×D61—82no—
680C22×D61—82no—
681C22×D61C22×D412yes—
682C22×D61H(5,𝔽2)12yes—
683C22×D61H(5,𝔽2)12yes—
684C22×D612−1+412yes—
685D4×C61—44no—
686D4×C61—82no—
687D4×C61—82no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—44no—
722C2×C4×C61C22×D412yes—
723C2×C4×C61C22×D412yes—
724C2×C4×C61C22×D412yes—
725C22⋊D61—44no—
726C22⋊D61—44no—
727C22⋊D61—44no—
728C22⋊D61—82no—
729C22⋊D61—82no—
730C22⋊D61—82no—
731C22⋊D61—82no—
732C22⋊D61—82no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—44no—
767C2×Dic61—82no—
768C2×Dic61C22×D412yes—
769C2×Dic61C22×D412yes—
770C2×Dic61C22×D412yes—
771D244—44no—
772D244—44no—
773D244—82no—
774D244—82no—
775C4×D61—28no—
776C4×D61—44no—
777C4×D61—44no—
778C4×D61—44no—
779C4×D61—44no—
780C4×D61—44no—
781C4×D61—44no—
782C4×D61—82no—
783Dic122—82no—
784#36722—611nomaximal, Sylow
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—41no—
789C22×C61—41no—
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61C23×D411yescharacteristic
807C22×C61C2×H(5,𝔽2)11yescharacteristic
808C22×C61C2×H(5,𝔽2)11yescharacteristic
809C22×C61C2×H(5,𝔽2)11yescharacteristic
810C22×C61C2×2−1+411yescharacteristic
811C22×C61#58511yescharacteristic
812C22×C61#58511yescharacteristic
813C2×D61—22no—
814C2×D61—22no—
815C2×D61—22no—
816C2×D61—22no—
817C2×D61—22no—
818C2×D61—22no—
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—416no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—41no—
826C2×D61—41no—
827C2×D61—41no—
828C2×D61—41no—
829C2×D61—41no—
830C2×D61—41no—
831C2×D61—41no—
832C2×D61—41no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—88no—
842C2×D61#53714yes—
843C4×C61—22no—
844C4×C61—22no—
845C4×C61—22no—
846C4×C61—41no—
847C4×C61—41no—
848C4×C61—41no—
849C4×C61—41no—
850C4×C61—41no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855Dic61—22no—
856Dic61—22no—
857Dic61—22no—
858Dic61—41no—
859Dic61—41no—
860Dic61—41no—
861Dic61—41no—
862Dic61—41no—
863Dic61—41no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867C2×#539—611no—
868C22×#123—611no—
869#2848—611no—
870#2847—611no—
871#2707—611no—
872#2707—611no—
873#2707—611no—
874#2707—611no—
875#2705—611no—
876#2705—611no—
877#2705—611no—
878#2705D6111yescharacteristic, complemented
879#2682—611no—
880#2682—611no—
881#2682—611no—
882#2682—611no—
883#2681—611no—
884#2681—611no—
885#2681—611no—
886#2681—611no—
887#2626—611no—
888#2617—611no—
889#2579—611no—
890#2579—611no—
891#2411—611no—
892#2411—611no—
893#2411—611no—
894#2411—611no—
895#2408—611no—
896#2408—611no—
897#2316—611no—
898C2×C61—42no—
899C2×C61—81no—
900C2×C61—81no—
901C2×C61C2×#53711yescharacteristic
902C2×C61#348411yescharacteristic
903C2×C61#348711yescharacteristic
904C2×C61#353411yescharacteristic
905C2×C61#353411yescharacteristic
906C2×C61#353511yescharacteristic
907C2×C61#353511yescharacteristic
908D61—24no—
909D61—42no—
910D61—81no—
911D61—81no—
912C23×D4—611no—
913C24×C4—611no—
914#539—1228no—
915C2×#126—611no—
916C2×#126C2×D6111yescharacteristic, complemented
917C2×#125—611no—
918C2×#125—611no—
919C2×#123—611no—
920C2×#123—611no—
921C2×#123—611no—
922C2×#123—611no—
923C2×#123—611no—
924C2×#123—611no—
925C2×#123—611no—
926C2×#123—611no—
927C2×#123—611no—
928C2×#123—611no—
929C2×#123—611no—
930C2×#123—1228no—
931C2×#123C2×D6111yescharacteristic
932C2×C22⋊Q8—611no—
933C2×C22⋊Q8—611no—
934C2×C22⋊Q8—611no—
935C2×C22⋊Q8—611no—
936C2×C22⋊Q8—611no—
937C2×#121—611no—
938C2×#121—611no—
939C2×#121—611no—
940C2×#121—611no—
941C2×#121—611no—
942C2×#121—611no—
943C2×#121—611no—
944C2×#120—611no—
945C2×#120—611no—
946C2×#120—611no—
947C2×#120—611no—
948C2×C4×D4—611no—
949C2×C4×D4—611no—
950C2×#117—611no—
951C2×#117—611no—
952C22×C4⋊C4—611no—
953C22×C4⋊C4—611no—
954C22×C22⋊C4—611no—
955C22×C22⋊C4—611no—
956C22×C22⋊C4—611no—
957#399—611no—
958#399C2×D6111yescharacteristic, complemented
959#398—611no—
960#398—611no—
961#398—611no—
962#398—611no—
963#397—611no—
964#397—611no—
965#396—611no—
966#396—611no—
967#396—611no—
968#396—611no—
969#396—611no—
970#396—611no—
971#396—611no—
972#396—611no—
973#396—611no—
974#396—611no—
975#396—611no—
976#396—611no—
977#396—611no—
978#396—611no—
979#396C2×D6111yescharacteristic, complemented
980#396C2×D6111yescharacteristic, complemented
981#394—611no—
982#394—611no—
983#394—611no—
984#394—611no—
985#394—611no—
986#394—611no—
987#394—611no—
988#394—611no—
989#394—611no—
990#394—611no—
991#394—611no—
992#394—611no—
993#394—611no—
994#394—611no—
995#394C2×D6111yescharacteristic, complemented
996#394C2×D6111yescharacteristic, complemented
997#393—611no—
998#393—611no—
999#392—611no—
1000#392—611no—
1001#392—611no—
1002#392—611no—
1003#392—611no—
1004#392C2×D6111yescharacteristic
1005#390—611no—
1006#390—611no—
1007#390—611no—
1008#390—611no—
1009#390—611no—
1010#390—611no—
1011#390—611no—
1012#390—611no—
1013#390—611no—
1014#390—611no—
1015#390C2×D6111yescharacteristic
1016#390C2×D6111yescharacteristic, complemented
1017#389—611no—
1018#389—611no—
1019#389—611no—
1020#389—611no—
1021#389—611no—
1022#389—611no—
1023#389—611no—
1024#389C2×D6111yescharacteristic, complemented
1025#388—611no—
1026#388—611no—
1027#388—611no—
1028#388—611no—
1029#388—611no—
1030#388—611no—
1031#388—611no—
1032#388C2×D6111yescharacteristic, complemented
1033#387—611no—
1034#387—611no—
1035#387—611no—
1036#387C2×D6111yescharacteristic, complemented
1037#386—611no—
1038#386—611no—
1039#386—611no—
1040#386—611no—
1041#386—611no—
1042#386—611no—
1043#386—611no—
1044#386C2×D6111yescharacteristic, complemented
1045#385—611no—
1046#385—611no—
1047#385—611no—
1048#385—611no—
1049#385—611no—
1050#385—611no—
1051#385—611no—
1052#385—611no—
1053#385—611no—
1054#385—611no—
1055#385—611no—
1056#385—611no—
1057#380—611no—
1058#380—611no—
1059#380—611no—
1060#380—611no—
1061#380—611no—
1062#380—611no—
1063#380—611no—
1064#380C2×D6111yescharacteristic, complemented
1065#379—611no—
1066#379—611no—
1067#379—611no—
1068#379—611no—
1069C61#3672211yescharacteristic, complemented, Sylow
1070C25—611no—
1071C25—611no—
1072C22×Q8—611no—
1073C22×D4—611no—
1074C22×D4—611no—
1075C22×D4—611no—
1076C22×D4—611no—
1077C22×D4—611no—
1078C22×D4—611no—
1079C22×D4—611no—
1080C22×D4—611no—
1081C22×D4—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—1224no—
1086C22×D4—2442no—
1087C22×D4—2442no—
1088C22×D4C22×D6111yescharacteristic
1089C22×D4C22×D6111yescharacteristic
1090C22×D4C22×D6111yescharacteristic
1091C23×C4—611no—
1092C23×C4—611no—
1093C23×C4—611no—
1094C23×C4—611no—
1095C23×C4—611no—
1096C23×C4—611no—
1097C23×C4—611no—
1098C23×C4—611no—
1099C23×C4—611no—
1100C23×C4—611no—
1101C23×C4—1224no—
1102C23×C4—2442no—
1103C23×C4—2442no—
1104C23×C4C22×D6111yescharacteristic
1105#126—24no—
1106#126—1224no—
1107#125—1224no—
1108#125—1224no—
1109#123—24no—
1110#123—1224no—
1111#123—1224no—
1112#123—1224no—
1113#123—1224no—
1114#123—1224no—
1115#123—1224no—
1116#123—1224no—
1117#123—1224no—
1118#123—1224no—
1119#123—1224no—
1120#123—1224no—
1121C22⋊Q8—1224no—
1122C22⋊Q8—1224no—
1123C22⋊Q8—1224no—
1124C22⋊Q8—2442no—
1125C22⋊Q8—2442no—
1126#121—1224no—
1127#121—2442no—
1128#121—2442no—
1129#121—2442no—
1130#121—2442no—
1131#121—2442no—
1132#121—2442no—
1133#120—2442no—
1134#120—2442no—
1135#120—2442no—
1136#120—2442no—
1137C4×D4—1224no—
1138C4×D4—1224no—
1139#117—2442no—
1140#117—2442no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—618no—
1145C2×C4⋊C4—611no—
1146C2×C4⋊C4—611no—
1147C2×C4⋊C4—611no—
1148C2×C4⋊C4—611no—
1149C2×C4⋊C4—611no—
1150C2×C4⋊C4—611no—
1151C2×C4⋊C4—611no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—1224no—
1172C2×C4⋊C4C22×D6111yescharacteristic
1173C2×C4⋊C4C22×D6111yescharacteristic
1174C2×C4⋊C4C22×D6111yescharacteristic
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C4⋊C4C22×D6111yescharacteristic
1180C2×C4⋊C4C22×D6111yescharacteristic
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—1224no—
1226C2×C22⋊C4—1224no—
1227C2×C22⋊C4—1224no—
1228C2×C22⋊C4C22×D6111yescharacteristic
1229C2×C22⋊C4C22×D6111yescharacteristic
1230C2×C22⋊C4C22×D6111yescharacteristic
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C22⋊C4C22×D6111yescharacteristic
1236C2×C22⋊C4C22×D6111yescharacteristic
1237C2×C22⋊C4C22×D6111yescharacteristic
1238C2×C22⋊C4C22×D6111yescharacteristic
1239C2×C22⋊C4C22×D6111yescharacteristic
1240C2×C22⋊C4C22×D6111yescharacteristic
1241C2×C22⋊C4C22×D6111yescharacteristic
1242C2×C42—611no—
1243C2×C42—611no—
1244C2×C42—611no—
1245C2×C42—611no—
1246C2×C42C22×D6111yescharacteristic
1247C2×C42C22×D6111yescharacteristic
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95C22×D6111yescharacteristic
1267#95C22×D6111yescharacteristic
1268#95C22×D6111yescharacteristic
1269#95C22×D6111yescharacteristic
1270#95C22×D6111yescharacteristic
1271#95C22×D6111yescharacteristic
1272C24—611no—
1273C24—611no—
1274C24—611no—
1275C24—611no—
1276C24—1222no—
1277C24—1222no—
1278C24—1222no—
1279C24—1222no—
1280C24—1222no—
1281C24—1222no—
1282C24—1222no—
1283C24—1222no—
1284C24—2441no—
1285C24—2441no—
1286C24—2441no—
1287C24—2441no—
1288C24—2441no—
1289C24—2441no—
1290C24C23×D6111yescharacteristic
1291C24C23×D6111yescharacteristic
1292C24C23×D6111yescharacteristic
1293C2×Q8—1222no—
1294C2×Q8—2441no—
1295C2×Q8—2441no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—22no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4—41no—
1303C2×D4—41no—
1304C2×D4—41no—
1305C2×D4—1222no—
1306C2×D4—1222no—
1307C2×D4—1222no—
1308C2×D4—1222no—
1309C2×D4—1222no—
1310C2×D4—1222no—
1311C2×D4—1222no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—2441no—
1322C2×D4—2441no—
1323C2×D4—2441no—
1324C2×D4—2441no—
1325C2×D4—2441no—
1326C2×D4—2441no—
1327C2×D4—2441no—
1328C2×D4—2441no—
1329C2×D4—2441no—
1330C2×D4—2441no—
1331C2×D4—2441no—
1332C2×D4—2441no—
1333C2×D4—2441no—
1334C2×D4—2441no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—24416no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—41no—
1345C22×C4—611no—
1346C22×C4—611no—
1347C22×C4—611no—
1348C22×C4—614no—
1349C22×C4—614no—
1350C22×C4—614no—
1351C22×C4—611no—
1352C22×C4—611no—
1353C22×C4—611no—
1354C22×C4—611no—
1355C22×C4—611no—
1356C22×C4—611no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—1222no—
1361C22×C4—1222no—
1362C22×C4—1222no—
1363C22×C4—1222no—
1364C22×C4—1222no—
1365C22×C4—1222no—
1366C22×C4—1222no—
1367C22×C4—1222no—
1368C22×C4—1222no—
1369C22×C4—1222no—
1370C22×C4—1222no—
1371C22×C4—1222no—
1372C22×C4—2441no—
1373C22×C4—2441no—
1374C22×C4—2441no—
1375C22×C4—2441no—
1376C22×C4—2441no—
1377C22×C4—2441no—
1378C22×C4—2441no—
1379C22×C4—2441no—
1380C22×C4—2441no—
1381C22×C4—2441no—
1382C22×C4—2441no—
1383C22×C4—2441no—
1384C22×C4—24416no—
1385C22×C4—2441no—
1386C22×C4—2441no—
1387C22×C4—2441no—
1388C22×C4C23×D6111yescharacteristic
1389C22×C4C23×D6111yescharacteristic
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392C22×C4C23×D6111yescharacteristic
1393C22×C4C23×D6111yescharacteristic
1394C22×C4C23×D6111yescharacteristic
1395C22×C4C23×D6111yescharacteristic
1396C22×C4C23×D6111yescharacteristic
1397C22×C4C23×D6111yescharacteristic
1398C22×C4C23×D6111yescharacteristic
1399C22×C4C23×D6111yescharacteristic
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—614no—
1409C4⋊C4—614no—
1410C4⋊C4—614no—
1411C4⋊C4—1222no—
1412C4⋊C4—1222no—
1413C4⋊C4—1222no—
1414C4⋊C4—1222no—
1415C4⋊C4—1222no—
1416C4⋊C4—1222no—
1417C4⋊C4—1222no—
1418C4⋊C4—1222no—
1419C4⋊C4—1222no—
1420C4⋊C4—1222no—
1421C4⋊C4—1222no—
1422C4⋊C4—2441no—
1423C4⋊C4—2441no—
1424C4⋊C4—2441no—
1425C4⋊C4—2441no—
1426C4⋊C4—2441no—
1427C4⋊C4—2441no—
1428C4⋊C4—2441no—
1429C4⋊C4—2441no—
1430C4⋊C4—2441no—
1431C4⋊C4—2441no—
1432C4⋊C4—2441no—
1433C4⋊C4—2441no—
1434C4⋊C4—2441no—
1435C4⋊C4—2441no—
1436C4⋊C4—2441no—
1437C4⋊C4D4×D6114yes—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—1222no—
1453C22⋊C4—1222no—
1454C22⋊C4—1222no—
1455C22⋊C4—1222no—
1456C22⋊C4—1222no—
1457C22⋊C4—1222no—
1458C22⋊C4—1222no—
1459C22⋊C4—1222no—
1460C22⋊C4—1222no—
1461C22⋊C4—1222no—
1462C22⋊C4—1222no—
1463C22⋊C4—1222no—
1464C22⋊C4—1222no—
1465C22⋊C4—1222no—
1466C22⋊C4—1222no—
1467C22⋊C4—1222no—
1468C22⋊C4—1222no—
1469C22⋊C4—1222no—
1470C22⋊C4—1222no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—2441no—
1477C22⋊C4—2441no—
1478C22⋊C4—2441no—
1479C22⋊C4—2441no—
1480C22⋊C4—2441no—
1481C22⋊C4—2441no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C42—22no—
1497C42—41no—
1498C42—1222no—
1499C42—2441no—
1500C42—2441no—
1501C42—2441no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—612no—
1523C23—612no—
1524C23—612no—
1525C23—612no—
1526C23—1228no—
1527C23—1221no—
1528C23—1221no—
1529C23—1221no—
1530C23—1221no—
1531C23—1221no—
1532C23—1221no—
1533C23—1221no—
1534C23—1221no—
1535C23—1221no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—4882no—
1552C23—4882no—
1553C23—4882no—
1554C23—4882no—
1555C23—2444no—
1556C23—2444no—
1557C23—2444no—
1558C23—2444no—
1559C23—2444no—
1560C23—2444no—
1561C23—2444no—
1562C23—2444no—
1563C23—2444no—
1564C23#1451982312yes—
1565C23C24×D6111yescharacteristic
1566Q8—4882no—
1567D4—44no—
1568D4—82no—
1569D4—82no—
1570D4—4882no—
1571D4—4882no—
1572D4—4882no—
1573D4—4882no—
1574D4—4882no—
1575D4—4882no—
1576D4—4882no—
1577D4—2444no—
1578D4—2444no—
1579D4—2444no—
1580D4—2444no—
1581D4—2444no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—44no—
1616C2×C4—612no—
1617C2×C4—612no—
1618C2×C4—612no—
1619C2×C4—1228no—
1620C2×C4—1221no—
1621C2×C4—1221no—
1622C2×C4—1221no—
1623C2×C4—1221no—
1624C2×C4—1221no—
1625C2×C4—1221no—
1626C2×C4—1221no—
1627C2×C4—1221no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—4882no—
1654C2×C4—4882no—
1655C2×C4—2444no—
1656C2×C4—2444no—
1657C2×C4—2444no—
1658C2×C4—2444no—
1659C2×C4—2444no—
1660C2×C4—2444no—
1661C2×C4—2444no—
1662C2×C4C2×D4×D6112yes—
1663C2×C4C2×D4×D6112yes—
1664C2×C4C2×D4×D6112yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—614no—
1687C22—1222no—
1688C22—1222no—
1689C22—1222no—
1690C22—1222no—
1691C22—1222no—
1692C22—1222no—
1693C22—1222no—
1694C22—1222no—
1695C22—1222no—
1696C22—4888no—
1697C22—24416no—
1698C22—2441no—
1699C22—2441no—
1700C22—2441no—
1701C22—2441no—
1702C22—2441no—
1703C22—2441no—
1704C22—2441no—
1705C22—2441no—
1706C22—2441no—
1707C22—2441no—
1708C22—2441no—
1709C22—2441no—
1710C22—2441no—
1711C22—2441no—
1712C22—2441no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22C22×D4×D6111yescharacteristic
1717C22H(5,𝔽2)×D6111yescharacteristic
1718C22H(5,𝔽2)×D6111yescharacteristic
1719C22C2×#1451982311yescharacteristic
1720C222−1+4×D6111yescharacteristic
1721C22#1684059711yescharacteristic
1722C22#1684059811yescharacteristic
1723C4—22no—
1724C4—22no—
1725C4—22no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—1222no—
1736C4—1222no—
1737C4—1222no—
1738C4—2441no—
1739C4—2441no—
1740C4—2441no—
1741C4—2441no—
1742C4—2441no—
1743C4—2441no—
1744C4—2441no—
1745C4—2441no—
1746C4—2441no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—1224no—
1751C2—4881no—
1752C2—4881no—
1753C2—2442no—
1754C2#537×D6111yescharacteristic
1755C2#2145944911yescharacteristic
1756C2#2145947211yescharacteristic
1757C2#2146000011yescharacteristic
1758C2#2146001211yescharacteristic
1759C2#2146002111yescharacteristic
1760C2#2146002611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2705C2
hypercenter#2705D61
hypocenterC61#36722
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2705

Complements

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

NH ≅ G/Ntype
1. C2×#16840353C2semidirect
2. C2×#123×D61C2semidirect
3. #21454107C2semidirect
4. #21454100C2semidirect
5. #21452525C2semidirect
6. #21452523C2semidirect
7. #21452521C2semidirect
8. #21452519C2semidirect
9. #21452494C2semidirect
10. #21452492C2semidirect
11. #21452486C2semidirect
12. #21452187C2semidirect
13. #21452186C2semidirect
14. #21452183C2semidirect
15. #21452179C2semidirect
16. #21452175C2semidirect
17. #21452171C2semidirect
18. #21452170C2semidirect
19. #21452166C2semidirect
20. #21451625C2semidirect
21. #21451558C2semidirect
22. #21451170C2semidirect
23. #21451161C2semidirect
24. #21449203C2semidirect
25. #21449201C2semidirect
26. #21449199C2semidirect
27. #21449197C2semidirect
28. #21449173C2semidirect
29. #21449168C2semidirect
30. #21448434C2semidirect
31. C61×#2705C2semidirect
35. C2×#14519772C22semidirect
36. C2×#14519769C22semidirect
37. C2×#14519768C22semidirect
42. C2×#14519761C22semidirect
47. C2×#14519759C22semidirect
51. C2×#14519757C22semidirect
52. C2×#14519756C22semidirect
53. C2×#14519755C22semidirect
54. C2×#14519754C22semidirect
57. C2×#14519750C22semidirect
60. C2×#14519749C22semidirect
75. #16839697C22semidirect
76. #16839696C22semidirect
77. #16839695C22semidirect
78. #16839694C22semidirect
79. #16839692C22semidirect
80. #16839691C22semidirect
81. #16839690C22semidirect
82. #16839686C22semidirect
83. #16839686C22semidirect
84. #16839685C22semidirect
85. #16839685C22semidirect
86. #16839685C22semidirect
87. #16839685C22semidirect
88. #16839685C22semidirect
89. #16839685C22semidirect
90. #16839684C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
93. #16839684C22semidirect
94. #16839684C22semidirect
95. #16839684C22semidirect
97. #16839680C22semidirect
98. #16839679C22semidirect
99. #16839679C22semidirect
102. #16839678C22semidirect
103. #16839678C22semidirect
104. #16839678C22semidirect
105. #16839678C22semidirect
106. #16839677C22semidirect
107. #16839677C22semidirect
109. #16839676C22semidirect
110. #16839675C22semidirect
111. #16839674C22semidirect
115. #16839671C22semidirect
116. #16839670C22semidirect
117. #16839665C22semidirect
119. #16839664C22semidirect
120. #16839663C22semidirect
123. #16839662C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839661C22semidirect
128. #16839660C22semidirect
129. #16839659C22semidirect
130. #16839659C22semidirect
131. #16839658C22semidirect
132. #16839657C22semidirect
133. #16839657C22semidirect
134. #16839656C22semidirect
135. #16839655C22semidirect
136. #16839654C22semidirect
137. #16839653C22semidirect
138. #16839652C22semidirect
139. #16839651C22semidirect
140. #16839650C22semidirect
141. #16839648C22semidirect
142. #16839646C22semidirect
143. #16839644C22semidirect
144. #16839641C22semidirect
147. #16839640C22semidirect
150. #16839638C22semidirect
151. #16839637C22semidirect
152. #16839637C22semidirect
153. #16839637C22semidirect
156. #16839636C22semidirect
157. #16839636C22semidirect
158. #16839636C22semidirect
159. #16839634C22semidirect
162. #16839633C22semidirect
165. #16839621C22semidirect
166. #16839620C22semidirect
169. #16839619C22semidirect
174. C2×#126×C61C22semidirect
176. C61×#399C22semidirect
177. C61×#396C22semidirect
178. C61×#396C22semidirect
179. C61×#394C22semidirect
180. C61×#394C22semidirect
183. C61×#390C22semidirect
184. C61×#389C22semidirect
185. C61×#388C22semidirect
186. C61×#387C22semidirect
187. C61×#386C22semidirect
188. C61×#380C22semidirect
284. C4⋊C4×D61D4semidirect
878. #2705D61semidirect
916. C2×#126C2×D61semidirect
958. #399C2×D61semidirect
979. #396C2×D61semidirect
980. #396C2×D61semidirect
995. #394C2×D61semidirect
996. #394C2×D61semidirect
1016. #390C2×D61semidirect
1024. #389C2×D61semidirect
1032. #388C2×D61semidirect
1036. #387C2×D61semidirect
1044. #386C2×D61semidirect
1064. #380C2×D61semidirect
1069. C61#36722semidirect

Maximal subgroups

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

subgroupindex
C2×#168403532
C2×#123×D612
#214541072
#214541002
#214525252
#214525232
#214525212
#214525192
#214524942
#214524922
#214524862
#214521872
#214521862
#214521832
#214521792
#214521752
#214521712
#214521702
#214521662
#214516252
#214515582
#214511702
#214511612
#214492032
#214492012
#214491992
#214491972
#214491732
#214491682
#214484342
C61×#27052
#3672261