Finite Group Databasebeta

← #29887509

Subgroups — #29887509

Order 15616.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840366C211yesmaximal, characteristic, complemented
2C2×#16840347C211yesmaximal, characteristic, complemented
3#21454162C211yesmaximal, characteristic, complemented
4#21454145C211yesmaximal, characteristic, complemented
5#21452717C211yesmaximal, characteristic, complemented
6#21452622C211yesmaximal, characteristic, complemented
7#21452340C211yesmaximal, characteristic, complemented
8#21452177C211yesmaximal, characteristic, complemented
9#21452162C211yesmaximal, characteristic, complemented
10#21452144C211yesmaximal, characteristic, complemented
11#21452113C211yesmaximal, characteristic, complemented
12#21452109C211yesmaximal, characteristic, complemented
13#21452090C211yesmaximal, characteristic, complemented
14#21452079C211yesmaximal, characteristic, complemented
15#21452064C211yesmaximal, characteristic, complemented
16#21452057C211yesmaximal, characteristic, complemented
17#21452053C211yesmaximal, characteristic, complemented
18#21452036C211yesmaximal, characteristic, complemented
19#21452023C211yesmaximal, characteristic, complemented
20#21451944C211yesmaximal, characteristic, complemented
21#21451944C211yesmaximal, characteristic, complemented
22#21451504C211yesmaximal, characteristic, complemented
23#21451439C211yesmaximal, characteristic, complemented
24#21451434C211yesmaximal, characteristic, complemented
25#21451422C211yesmaximal, characteristic, complemented
26#21450752C211yesmaximal, characteristic, complemented
27#21450747C211yesmaximal, characteristic, complemented
28#21449232C211yesmaximal, characteristic, complemented
29#21449200C211yesmaximal, characteristic, complemented
30#21448259C211yesmaximal, characteristic, complemented
31C61×#2669C211yesmaximal, characteristic, complemented
32#16840366—28no—
33#16840347—28no—
34C2×#14519773C2211yescharacteristic
35C2×#14519770C2211yescharacteristic
36C2×#14519770C2211yescharacteristic
37C2×#14519769C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic
39C2×#14519763C2211yescharacteristic
40C2×#14519761C2211yescharacteristic
41C2×#14519759C2211yescharacteristic
42C2×#14519758C2211yescharacteristic
43C2×#14519758C2211yescharacteristic
44C2×#14519758C2211yescharacteristic
45C2×#14519758C2211yescharacteristic
46C2×#14519758C2211yescharacteristic, complemented
47C2×#14519758C2211yescharacteristic, complemented
48C2×#14519754C2211yescharacteristic
49C2×#14519754C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519751C2211yescharacteristic, complemented
52C2×#14519750C2211yescharacteristic, complemented
53C2×#14519749C2211yescharacteristic
54C2×#14519749C2211yescharacteristic
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic
58C2×#14519749C2211yescharacteristic
59C2×#14519749C2211yescharacteristic
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic, complemented
62C2×#14519749C2211yescharacteristic, complemented
63C2×#14519748C2211yescharacteristic
64C2×#14519748C2211yescharacteristic
65C2×#14519748C2211yescharacteristic, complemented
66C2×#14519746C2211yescharacteristic
67C2×#14519746C2211yescharacteristic
68C2×D4×Dic61C2211yescharacteristic
69C2×D4×Dic61C2211yescharacteristic, complemented
70C2×#14519737C2211yescharacteristic
71C2×#14519734C2211yescharacteristic, complemented
72C2×#14519733C2211yescharacteristic
73C22×C22⋊Dic61C2211yescharacteristic
74C22×C4×Dic61C2211yescharacteristic, complemented
75#16839699C2211yescharacteristic, complemented
76#16839698C2211yescharacteristic
77#16839698C2211yescharacteristic
78#16839698C2211yescharacteristic
79#16839696C2211yescharacteristic, complemented
80#16839696C2211yescharacteristic, complemented
81#16839696C2211yescharacteristic, complemented
82#16839694C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic
84#16839690C2211yescharacteristic
85#16839690C2211yescharacteristic, complemented
86#16839687C2211yescharacteristic
87#16839685C2211yescharacteristic
88#16839685C2211yescharacteristic
89#16839685C2211yescharacteristic
90#16839684C2211yescharacteristic, complemented
91#16839682C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic
93#16839678C2211yescharacteristic, complemented
94#16839678C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic
96#16839677C2211yescharacteristic
97#16839677C2211yescharacteristic
98#16839677C2211yescharacteristic
99#16839677C2211yescharacteristic, complemented
100#16839676C2211yescharacteristic
101#16839676C2211yescharacteristic
102#16839676C2211yescharacteristic
103#16839676C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839675C2211yescharacteristic, complemented
106#16839671C2211yescharacteristic
107#16839671C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic
113#16839670C2211yescharacteristic
114#16839670C2211yescharacteristic
115#16839670C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic, complemented
117#16839665C2211yescharacteristic
118#16839665C2211yescharacteristic
119#16839665C2211yescharacteristic
120#16839665C2211yescharacteristic
121#16839665C2211yescharacteristic
122#16839663C2211yescharacteristic, complemented
123#16839662C2211yescharacteristic
124#16839662C2211yescharacteristic
125#16839662C2211yescharacteristic
126#16839662C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839658C2211yescharacteristic, complemented
131#16839658C2211yescharacteristic, complemented
132#16839657C2211yescharacteristic, complemented
133#16839656C2211yescharacteristic
134#16839655C2211yescharacteristic, complemented
135#16839653C2211yescharacteristic, complemented
136#16839651C2211yescharacteristic, complemented
137#16839651C2211yescharacteristic, complemented
138#16839650C2211yescharacteristic
139#16839650C2211yescharacteristic
140#16839650C2211yescharacteristic
141#16839650C2211yescharacteristic
142#16839650C2211yescharacteristic, complemented
143#16839650C2211yescharacteristic, complemented
144#16839650C2211yescharacteristic, complemented
145#16839647C2211yescharacteristic, complemented
146#16839646C2211yescharacteristic, complemented
147#16839645C2211yescharacteristic, complemented
148#16839644C2211yescharacteristic, complemented
149#16839642C2211yescharacteristic
150#16839642C2211yescharacteristic
151#16839642C2211yescharacteristic
152#16839642C2211yescharacteristic
153#16839642C2211yescharacteristic
154#16839642C2211yescharacteristic, complemented
155#16839640C2211yescharacteristic, complemented
156#16839638C2211yescharacteristic
157#16839638C2211yescharacteristic
158#16839638C2211yescharacteristic, complemented
159#16839637C2211yescharacteristic
160#16839637C2211yescharacteristic, complemented
161#16839637C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839635C2211yescharacteristic, complemented
164#16839634C2211yescharacteristic, complemented
165#16839633C2211yescharacteristic, complemented
166#16839631C2211yescharacteristic, complemented
167#16839622C2211yescharacteristic, complemented
168#16839621C2211yescharacteristic, complemented
169#16839618C2211yescharacteristic
170#16839613C2211yescharacteristic, complemented
171C22⋊C4×Dic61C2211yescharacteristic
172C22⋊C4×Dic61C2211yescharacteristic, complemented
173#16839607C2211yescharacteristic, complemented
174C2×#127×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic
179C2×#120×C61C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#392C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#392C2211yescharacteristic
185C61×#392C2211yescharacteristic
186C61×#388C2211yescharacteristic
187C61×#388C2211yescharacteristic
188C61×#386C2211yescharacteristic
189C22×Dic122C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211#14519773—42no—
212#14519770—24no—
213#14519770—24no—
214#14519769—24no—
215#14519764—24no—
216#14519763—24no—
217#14519761—42no—
218#14519759—24no—
219#14519758—24no—
220#14519758—24no—
221#14519758—24no—
222#14519758—24no—
223#14519758—24no—
224#14519758—42no—
225#14519754—24no—
226#14519754—42no—
227#14519754—42no—
228#14519751—42no—
229#14519750—42no—
230#14519749—24no—
231#14519749—24no—
232#14519749—24no—
233#14519749—24no—
234#14519749—24no—
235#14519749—24no—
236#14519749—42no—
237#14519749—42no—
238#14519749—42no—
239#14519749—42no—
240#14519748—24no—
241#14519748—24no—
242#14519748—24no—
243#14519746—24no—
244#14519746—42no—
245D4×Dic61—24no—
246D4×Dic61D418yescomplemented
247#14519737—24no—
248#14519734—24no—
249#14519733—42no—
250C2×C4⋊Dic61C2311yescharacteristic
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×C22⋊Dic61—24no—
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×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×#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×C4×Dic61—42no—
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C2×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350C25×C61C2311yescharacteristic
351C22×D4×C61C2311yescharacteristic
352C22×D4×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364#127×C61—24no—
365#121×C61—42no—
366#121×C61—42no—
367#120×C61—24no—
368#120×C61—42no—
369#120×C61—42no—
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C4⋊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×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C42×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61—22no—
392C24×C61—41no—
393C24×C61—41no—
394C24×C61—41no—
395C24×C61—41no—
396C24×C61—41no—
397C24×C61—41no—
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C24×C61C2411yescharacteristic
402C24×C61C2411yescharacteristic
403C24×C61C2411yescharacteristic
404C23×D61C2411yescharacteristic
405C23×D61C2411yescharacteristic
406C2×D4×C61—22no—
407C2×D4×C61—22no—
408C2×D4×C61—22no—
409C2×D4×C61—22no—
410C2×D4×C61—22no—
411C2×D4×C61—22no—
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—
421C2×D4×C61—41no—
422C2×D4×C61—41no—
423C2×D4×C61—41no—
424C2×D4×C61—41no—
425C2×D4×C61—41no—
426C2×D4×C61—41no—
427C2×D4×C61—41no—
428C2×D4×C61—41no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61C2×D414yes—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—41no—
445C22×C4×C61C2411yescharacteristic
446C22×C4×C61C2411yescharacteristic
447C22×C4×C61C2411yescharacteristic
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—22no—
457C2×C22⋊D61—22no—
458C2×C22⋊D61—22no—
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C2×C22⋊D61—41no—
467C2×C22⋊D61—41no—
468C2×C22⋊D61—41no—
469C2×C22⋊D61—41no—
470C2×C22⋊D61—41no—
471C2×C22⋊D61—41no—
472C2×C22⋊D61—41no—
473C2×C22⋊D61—41no—
474C2×C22⋊D61—41no—
475C2×C22⋊D61—41no—
476C2×C22⋊D61—41no—
477C2×C22⋊D61—41no—
478C2×C22⋊D61—41no—
479C2×C22⋊D61—41no—
480C2×C22⋊D61—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—41no—
485C2×C22⋊D61—41no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C22×Dic61—22no—
491C22×Dic61—22no—
492C22×Dic61—22no—
493C22×Dic61—22no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—41no—
500C22×Dic61—41no—
501C22×Dic61—41no—
502C22×Dic61—41no—
503C22×Dic61—41no—
504C22×Dic61—41no—
505C22×Dic61—41no—
506C22×Dic61C2×D414yes—
507C22×Dic61C2×D414yes—
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C2×D244—22no—
523C2×D244—41no—
524C2×D244—41no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×Dic122—22no—
532C2×Dic122—41no—
533C2×Dic122—41no—
534C4⋊C4×C61—41no—
535C4⋊C4×C61—41no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—22no—
538C22⋊C4×C61—22no—
539C22⋊C4×C61—22no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—41no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C42×C61—22no—
551C22⋊Dic61—22no—
552C22⋊Dic61—22no—
553C22⋊Dic61—22no—
554C22⋊Dic61—22no—
555C22⋊Dic61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61—41no—
572C22⋊Dic61—41no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61C2×D414yes—
580C22⋊Dic61C2×D414yes—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—22no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595C4⋊Dic61—22no—
596C4⋊Dic61—22no—
597C4⋊Dic61—22no—
598C4⋊Dic61—41no—
599C4⋊Dic61—41no—
600C4⋊Dic61—41no—
601C4⋊Dic61—41no—
602C4⋊Dic61C2×D414yes—
603#11758196—22no—
604#11758196—22no—
605#11758196—22no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—22no—
617#11758196—22no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621C4×Dic61—22no—
622C4×Dic61—22no—
623C4×Dic61—22no—
624C4×Dic61—41no—
625C4×Dic61—41no—
626C4×Dic61—41no—
627C4×Dic61—41no—
628C4×Dic61C2×D414yes—
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×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—44no—
670C23×C61—82no—
671C23×C61—82no—
672C23×C61—82no—
673C23×C61—82no—
674C23×C61—82no—
675C23×C61—82no—
676C23×C61C22×D412yes—
677C23×C61C22×D412yes—
678C23×C61C2511yescharacteristic
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693D4×C61—44no—
694D4×C61—44no—
695D4×C61—82no—
696D4×C61—82no—
697D4×C61—82no—
698D4×C61—82no—
699D4×C61—82no—
700D4×C61—82no—
701D4×C61—82no—
702D4×C61—82no—
703D4×C61—82no—
704D4×C61—82no—
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—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—44no—
730C2×C4×C61C22×D412yes—
731C2×C4×C61H(5,𝔽2)12yes—
732C2×C4×C61H(5,𝔽2)12yes—
733C22⋊D61—44no—
734C22⋊D61—82no—
735C22⋊D61—82no—
736C22⋊D61—82no—
737C22⋊D61—82no—
738C22⋊D61—82no—
739C22⋊D61—82no—
740C22⋊D61—82no—
741C22⋊D61—82no—
742C22⋊D61—82no—
743C22⋊D61—82no—
744C22⋊D61—82no—
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—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—44no—
783C2×Dic61—44no—
784C2×Dic61—44no—
785C2×Dic61—82no—
786C2×Dic61—82no—
787C2×Dic61—82no—
788C2×Dic61C22×D412yes—
789C2×Dic61C22×D412yes—
790C2×Dic61C22×D412yes—
791C2×Dic61C22×D412yes—
792C2×Dic61H(5,𝔽2)12yes—
793D244—82no—
794C4×D61—44no—
795C4×D61—82no—
796Dic122—82no—
797#36744—611nomaximal, Sylow
798C22×C61—22no—
799C22×C61—22no—
800C22×C61—22no—
801C22×C61—22no—
802C22×C61—22no—
803C22×C61—22no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61—41no—
821C22×C61—41no—
822C22×C61—41no—
823C22×C61—41no—
824C22×C61—41no—
825C22×C61—41no—
826C22×C61—41no—
827C22×C61—41no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—88no—
841C22×C61C23×D411yescharacteristic
842C22×C61C2×H(5,𝔽2)11yescharacteristic
843C22×C61C2×H(5,𝔽2)11yescharacteristic
844C22×C61C2×H(5,𝔽2)11yescharacteristic
845C22×C61#58511yescharacteristic
846C22×C61#58511yescharacteristic
847C22×C61#58511yescharacteristic
848C2×D61—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C4×C61—22no—
863C4×C61—22no—
864C4×C61—22no—
865C4×C61—41no—
866C4×C61—41no—
867C4×C61—41no—
868C4×C61—41no—
869C4×C61—41no—
870C4×C61—41no—
871Dic61—22no—
872Dic61—22no—
873Dic61—22no—
874Dic61—22no—
875Dic61—22no—
876Dic61—41no—
877Dic61—41no—
878Dic61—41no—
879Dic61—41no—
880Dic61—41no—
881Dic61—41no—
882Dic61—41no—
883Dic61—41no—
884Dic61—41no—
885C2×#540—611no—
886C2×#538—611no—
887#2856—611no—
888#2854—611no—
889#2721—611no—
890#2714—611no—
891#2694—611no—
892#2681—611no—
893#2680—611no—
894#2678—611no—
895#2676—611no—
896#2675—611no—
897#2673—611no—
898#2673—611no—
899#2672—611no—
900#2671—611no—
901#2671—611no—
902#2669—611no—
903#2669D6111yescharacteristic, complemented
904#2668—611no—
905#2661—611no—
906#2661—611no—
907#2610—611no—
908#2603—611no—
909#2602—611no—
910#2601—611no—
911#2540—611no—
912#2539—611no—
913#2414—611no—
914#2411—611no—
915#2290—611no—
916C2×C61—42no—
917C2×C61—42no—
918C2×C61—81no—
919C2×C61—81no—
920C2×C61—81no—
921C2×C61—81no—
922C2×C61#344911yescharacteristic
923C2×C61#349611yescharacteristic
924C2×C61#349811yescharacteristic
925C2×C61#353411yescharacteristic
926C2×C61#354211yescharacteristic
927C2×C61#355111yescharacteristic
928C2×C61#356211yescharacteristic
929D61—81no—
930D61—81no—
931#540—1228no—
932#538—1228no—
933C2×#127—611no—
934C2×#127C2×D6111yescharacteristic
935C2×#126—611no—
936C2×#126—611no—
937C2×#125—611no—
938C2×#124—611no—
939C2×#124—611no—
940C2×#123—611no—
941C2×#123—611no—
942C2×#123—611no—
943C2×#123—611no—
944C2×#123—611no—
945C2×#123—611no—
946C2×#123—611no—
947C2×#123—611no—
948C2×C22⋊Q8—611no—
949C2×C22⋊Q8—611no—
950C2×C22⋊Q8—611no—
951C2×#121—611no—
952C2×#121—611no—
953C2×#121—611no—
954C2×#121—611no—
955C2×#121—611no—
956C2×#121—611no—
957C2×#121—611no—
958C2×#121—611no—
959C2×#121—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121C2×D6111yescharacteristic
967C2×#121C2×D6111yescharacteristic
968C2×#120—611no—
969C2×#120—611no—
970C2×#120C2×D6111yescharacteristic
971C2×#120C2×D6111yescharacteristic
972C2×#120C2×D6111yescharacteristic
973C2×C4×D4—611no—
974C2×C4×D4—611no—
975C2×C4×D4—611no—
976C2×#117—611no—
977C2×#117—611no—
978C22×C22⋊C4—611no—
979C22×C42—611no—
980#399—611no—
981#399—611no—
982#399—611no—
983#399—611no—
984#398—611no—
985#398—611no—
986#398—611no—
987#398—611no—
988#397—611no—
989#397—611no—
990#397—611no—
991#397—611no—
992#396—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#395—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394—611no—
1009#394—611no—
1010#394C2×D6111yescharacteristic
1011#394C2×D6111yescharacteristic
1012#393—611no—
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392—611no—
1023#392—611no—
1024#392C2×D6111yescharacteristic
1025#392C2×D6111yescharacteristic
1026#392C2×D6111yescharacteristic
1027#392C2×D6111yescharacteristic
1028#390—611no—
1029#390—611no—
1030#390—611no—
1031#390—611no—
1032#390—611no—
1033#390—611no—
1034#390—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#389—611no—
1042#389—611no—
1043#389—611no—
1044#388—611no—
1045#388—611no—
1046#388—611no—
1047#388—611no—
1048#388—611no—
1049#388—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388C2×D6111yescharacteristic
1057#388C2×D6111yescharacteristic
1058#387—611no—
1059#387—611no—
1060#387—611no—
1061#387—611no—
1062#386—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386C2×D6111yescharacteristic
1073#385—611no—
1074#385—611no—
1075#385—611no—
1076#385—611no—
1077#385—611no—
1078#385—611no—
1079#385—611no—
1080#384—611no—
1081#380—611no—
1082#380—611no—
1083#379—611no—
1084C4×C4⋊C4—611no—
1085C4×C22⋊C4—611no—
1086C4×C22⋊C4—611no—
1087#376—611no—
1088C61#3674411yescharacteristic, complemented, Sylow
1089C25C22×D6111yescharacteristic
1090C22×Q8—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—611no—
1095C22×D4—611no—
1096C22×D4—611no—
1097C22×D4—611no—
1098C22×D4—611no—
1099C22×D4—611no—
1100C22×D4—611no—
1101C22×D4—611no—
1102C22×D4—611no—
1103C22×D4—611no—
1104C22×D4C22×D6111yescharacteristic
1105C22×D4C22×D6111yescharacteristic
1106C22×D4C22×D6111yescharacteristic
1107C22×D4C22×D6111yescharacteristic
1108C22×D4C22×D6111yescharacteristic
1109C22×D4C22×D6111yescharacteristic
1110C22×D4C22×D6111yescharacteristic
1111C22×D4C22×D6111yescharacteristic
1112C22×D4C22×D6111yescharacteristic
1113C22×D4C22×D6111yescharacteristic
1114C22×D4C22×D6111yescharacteristic
1115C22×D4C22×D6111yescharacteristic
1116C23×C4—611no—
1117C23×C4—611no—
1118C23×C4—611no—
1119C23×C4—611no—
1120C23×C4—611no—
1121C23×C4—611no—
1122C23×C4—611no—
1123C23×C4—611no—
1124C23×C4C22×D6111yescharacteristic
1125#127—24no—
1126#127—2442no—
1127#126—1224no—
1128#126—1224no—
1129#125—1224no—
1130#124—1224no—
1131#124—1224no—
1132#123—1224no—
1133#123—1224no—
1134#123—1224no—
1135#123—1224no—
1136#123—1224no—
1137#123—1224no—
1138#123—2442no—
1139#123—2442no—
1140C22⋊Q8—1224no—
1141C22⋊Q8—2442no—
1142C22⋊Q8—2442no—
1143#121—42no—
1144#121—42no—
1145#121—1224no—
1146#121—1224no—
1147#121—1224no—
1148#121—1224no—
1149#121—1224no—
1150#121—1224no—
1151#121—1224no—
1152#121—1224no—
1153#121—1224no—
1154#121—2442no—
1155#121—2442no—
1156#121—2442no—
1157#121—2442no—
1158#121—2442no—
1159#121—2442no—
1160#120—24no—
1161#120—42no—
1162#120—42no—
1163#120—1224no—
1164#120—2442no—
1165C4×D4—618no—
1166C4×D4—1224no—
1167C4×D4—1224no—
1168#117—1224no—
1169#117—2442no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—611no—
1172C2×C4⋊C4—611no—
1173C2×C4⋊C4—611no—
1174C2×C4⋊C4—611no—
1175C2×C4⋊C4—611no—
1176C2×C4⋊C4—611no—
1177C2×C4⋊C4—611no—
1178C2×C4⋊C4—611no—
1179C2×C4⋊C4—611no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4C22×D6111yescharacteristic
1197C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—1224no—
1243C2×C22⋊C4C22×D6111yescharacteristic
1244C2×C22⋊C4C22×D6111yescharacteristic
1245C2×C22⋊C4C22×D6111yescharacteristic
1246C2×C22⋊C4C22×D6111yescharacteristic
1247C2×C22⋊C4C22×D6111yescharacteristic
1248C2×C22⋊C4C22×D6111yescharacteristic
1249C2×C22⋊C4C22×D6111yescharacteristic
1250C2×C22⋊C4C22×D6111yescharacteristic
1251C2×C22⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4C22×D6111yescharacteristic
1253C2×C22⋊C4C22×D6111yescharacteristic
1254C2×C22⋊C4C22×D6111yescharacteristic
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C42—611no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—611no—
1261C2×C42—611no—
1262C2×C42—611no—
1263C2×C42—611no—
1264C2×C42—611no—
1265C2×C42—2442no—
1266C2×C42C22×D6111yescharacteristic
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95C22×D6111yescharacteristic
1288#95C22×D6111yescharacteristic
1289#95C22×D6111yescharacteristic
1290#95C22×D6111yescharacteristic
1291C24—22no—
1292C24—41no—
1293C24—41no—
1294C24—41no—
1295C24—41no—
1296C24—41no—
1297C24—41no—
1298C24—611no—
1299C24—611no—
1300C24C23×D6111yescharacteristic
1301C24C23×D6111yescharacteristic
1302C24C23×D6111yescharacteristic
1303C24C23×D6111yescharacteristic
1304C24C23×D6111yescharacteristic
1305C24C23×D6111yescharacteristic
1306C2×Q8—1222no—
1307C2×Q8—2441no—
1308C2×Q8—2441no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—1222no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—1222no—
1354C2×D4—1222no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4D4×D6114yes—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—611no—
1388C22×C4—611no—
1389C22×C4—611no—
1390C22×C4—611no—
1391C22×C4—611no—
1392C22×C4—614no—
1393C22×C4—614no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—1222no—
1404C22×C4—1222no—
1405C22×C4—1222no—
1406C22×C4—1222no—
1407C22×C4—1222no—
1408C22×C4—1222no—
1409C22×C4—2441no—
1410C22×C4—2441no—
1411C22×C4—2441no—
1412C22×C4—2441no—
1413C22×C4—2441no—
1414C22×C4—2441no—
1415C22×C4—2441no—
1416C22×C4—2441no—
1417C22×C4—2441no—
1418C22×C4—2441no—
1419C22×C4—2441no—
1420C22×C4—2441no—
1421C22×C4—2441no—
1422C22×C4—2441no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4C23×D6111yescharacteristic
1426C22×C4C23×D6111yescharacteristic
1427C22×C4C23×D6111yescharacteristic
1428C22×C4C23×D6111yescharacteristic
1429C22×C4C23×D6111yescharacteristic
1430C22×C4C23×D6111yescharacteristic
1431C22×C4C23×D6111yescharacteristic
1432C22×C4C23×D6111yescharacteristic
1433C22×C4C23×D6111yescharacteristic
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—614no—
1437C4⋊C4—1222no—
1438C4⋊C4—1222no—
1439C4⋊C4—1222no—
1440C4⋊C4—1222no—
1441C4⋊C4—1222no—
1442C4⋊C4—1222no—
1443C4⋊C4—1222no—
1444C4⋊C4—1222no—
1445C4⋊C4—1222no—
1446C4⋊C4—1222no—
1447C4⋊C4—1222no—
1448C4⋊C4—1222no—
1449C4⋊C4—1222no—
1450C4⋊C4—1222no—
1451C4⋊C4—1222no—
1452C4⋊C4—1222no—
1453C4⋊C4—1222no—
1454C4⋊C4—1222no—
1455C4⋊C4—2441no—
1456C4⋊C4—2441no—
1457C4⋊C4—2441no—
1458C4⋊C4—2441no—
1459C4⋊C4—2441no—
1460C4⋊C4—2441no—
1461C4⋊C4—2441no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—614no—
1477C22⋊C4—614no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—2441no—
1501C22⋊C4—2441no—
1502C22⋊C4—2441no—
1503C22⋊C4—2441no—
1504C22⋊C4—2441no—
1505C22⋊C4—2441no—
1506C22⋊C4—2441no—
1507C22⋊C4—2441no—
1508C22⋊C4—2441no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C42—22no—
1521C42—614no—
1522C42—1222no—
1523C42—1222no—
1524C42—1222no—
1525C42—2441no—
1526C42—2441no—
1527C42—2441no—
1528C42—2441no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—44no—
1570C23—82no—
1571C23—82no—
1572C23—82no—
1573C23—82no—
1574C23—82no—
1575C23—82no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23C2×D4×D6112yes—
1591C23C2×D4×D6112yes—
1592C23C24×D6111yescharacteristic
1593Q8—4882no—
1594D4—44no—
1595D4—44no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—82no—
1605D4—82no—
1606D4—4882no—
1607D4—4882no—
1608D4—4882no—
1609D4—4882no—
1610D4—4882no—
1611D4—4882no—
1612D4—4882no—
1613D4—4882no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—2444no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—44no—
1644C2×C4—612no—
1645C2×C4—612no—
1646C2×C4—612no—
1647C2×C4—612no—
1648C2×C4—612no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—1221no—
1664C2×C4—1221no—
1665C2×C4—1221no—
1666C2×C4—1221no—
1667C2×C4—1221no—
1668C2×C4—1221no—
1669C2×C4—1221no—
1670C2×C4—1221no—
1671C2×C4—1221no—
1672C2×C4—1221no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—4882no—
1687C2×C4—4882no—
1688C2×C4—4882no—
1689C2×C4—4882no—
1690C2×C4—2444no—
1691C2×C4—2444no—
1692C2×C4—2444no—
1693C2×C4—2444no—
1694C2×C4C2×D4×D6112yes—
1695C2×C4#1451982212yes—
1696C2×C4#1451982212yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—88no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22C22×D4×D6111yescharacteristic
1755C22H(5,𝔽2)×D6111yescharacteristic
1756C22C2×#1451982211yescharacteristic
1757C22C2×#1451982211yescharacteristic
1758C22#1684059711yescharacteristic
1759C22#1684059711yescharacteristic
1760C22#1684059711yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—1222no—
1771C4—1222no—
1772C4—1222no—
1773C4—1222no—
1774C4—1222no—
1775C4—2441no—
1776C4—2441no—
1777C4—2441no—
1778C4—2441no—
1779C4—2441no—
1780C4—2441no—
1781C4—2441no—
1782C4—2441no—
1783C4—2441no—
1784C2—42no—
1785C2—42no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—81no—
1790C2—4881no—
1791C2—4881no—
1792C2#2145914511yescharacteristic
1793C2#2145957511yescharacteristic
1794C2#2145959111yescharacteristic
1795C2#2145999711yescharacteristic
1796C2#2146013711yescharacteristic
1797C2#2146024311yescharacteristic
1798C2#2146039611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2669C2
hypercenter#2669D61
hypocenterC61#36744
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#16840366C2semidirect
2. C2×#16840347C2semidirect
3. #21454162C2semidirect
4. #21454145C2semidirect
5. #21452717C2semidirect
6. #21452622C2semidirect
7. #21452340C2semidirect
8. #21452177C2semidirect
9. #21452162C2semidirect
10. #21452144C2semidirect
11. #21452113C2semidirect
12. #21452109C2semidirect
13. #21452090C2semidirect
14. #21452079C2semidirect
15. #21452064C2semidirect
16. #21452057C2semidirect
17. #21452053C2semidirect
18. #21452036C2semidirect
19. #21452023C2semidirect
20. #21451944C2semidirect
21. #21451944C2semidirect
22. #21451504C2semidirect
23. #21451439C2semidirect
24. #21451434C2semidirect
25. #21451422C2semidirect
26. #21450752C2semidirect
27. #21450747C2semidirect
28. #21449232C2semidirect
29. #21449200C2semidirect
30. #21448259C2semidirect
31. C61×#2669C2semidirect
37. C2×#14519769C22semidirect
46. C2×#14519758C22semidirect
47. C2×#14519758C22semidirect
49. C2×#14519754C22semidirect
50. C2×#14519754C22semidirect
51. C2×#14519751C22semidirect
52. C2×#14519750C22semidirect
60. C2×#14519749C22semidirect
61. C2×#14519749C22semidirect
62. C2×#14519749C22semidirect
65. C2×#14519748C22semidirect
69. C2×D4×Dic61C22semidirect
71. C2×#14519734C22semidirect
74. C22×C4×Dic61C22semidirect
75. #16839699C22semidirect
79. #16839696C22semidirect
80. #16839696C22semidirect
81. #16839696C22semidirect
82. #16839694C22semidirect
85. #16839690C22semidirect
90. #16839684C22semidirect
91. #16839682C22semidirect
93. #16839678C22semidirect
94. #16839678C22semidirect
99. #16839677C22semidirect
103. #16839676C22semidirect
104. #16839676C22semidirect
105. #16839675C22semidirect
115. #16839670C22semidirect
116. #16839670C22semidirect
122. #16839663C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839658C22semidirect
131. #16839658C22semidirect
132. #16839657C22semidirect
134. #16839655C22semidirect
135. #16839653C22semidirect
136. #16839651C22semidirect
137. #16839651C22semidirect
142. #16839650C22semidirect
143. #16839650C22semidirect
144. #16839650C22semidirect
145. #16839647C22semidirect
146. #16839646C22semidirect
147. #16839645C22semidirect
148. #16839644C22semidirect
154. #16839642C22semidirect
155. #16839640C22semidirect
158. #16839638C22semidirect
160. #16839637C22semidirect
161. #16839637C22semidirect
162. #16839636C22semidirect
163. #16839635C22semidirect
164. #16839634C22semidirect
165. #16839633C22semidirect
166. #16839631C22semidirect
167. #16839622C22semidirect
168. #16839621C22semidirect
170. #16839613C22semidirect
172. C22⋊C4×Dic61C22semidirect
173. #16839607C22semidirect
246. D4×Dic61D4semidirect
903. #2669D61semidirect
1088. C61#36744semidirect

Maximal subgroups

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

subgroupindex
C2×#168403662
C2×#168403472
#214541622
#214541452
#214527172
#214526222
#214523402
#214521772
#214521622
#214521442
#214521132
#214521092
#214520902
#214520792
#214520642
#214520572
#214520532
#214520362
#214520232
#214519442
#214515042
#214514392
#214514342
#214514222
#214507522
#214507472
#214492322
#214492002
#214482592
C61×#26692
#3674461