Finite Group Databasebeta

← #29887095

Subgroups — #29887095

Order 15616.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840347C211yesmaximal, characteristic, complemented
2C2×#16840272C211yesmaximal, characteristic, complemented
3#21454110C211yesmaximal, characteristic, complemented
4#21454098C211yesmaximal, characteristic, complemented
5#21452498C211yesmaximal, characteristic, complemented
6#21452451C211yesmaximal, characteristic, complemented
7#21452412C211yesmaximal, characteristic, complemented
8#21452409C211yesmaximal, characteristic, complemented
9#21452238C211yesmaximal, characteristic, complemented
10#21452186C211yesmaximal, characteristic, complemented
11#21452170C211yesmaximal, characteristic, complemented
12#21452165C211yesmaximal, characteristic, complemented
13#21452153C211yesmaximal, characteristic, complemented
14#21452146C211yesmaximal, characteristic, complemented
15#21452140C211yesmaximal, characteristic, complemented
16#21452140C211yesmaximal, characteristic, complemented
17#21452064C211yesmaximal, characteristic, complemented
18#21452044C211yesmaximal, characteristic, complemented
19#21452032C211yesmaximal, characteristic, complemented
20#21451708C211yesmaximal, characteristic, complemented
21#21451663C211yesmaximal, characteristic, complemented
22#21451509C211yesmaximal, characteristic, complemented
23#21451439C211yesmaximal, characteristic, complemented
24#21451423C211yesmaximal, characteristic, complemented
25#21451400C211yesmaximal, characteristic, complemented
26#21450787C211yesmaximal, characteristic, complemented
27#21450706C211yesmaximal, characteristic, complemented
28#21449157C211yesmaximal, characteristic, complemented
29#21449135C211yesmaximal, characteristic, complemented
30#21448460C211yesmaximal, characteristic, complemented
31C61×#2669C211yesmaximal, characteristic, complemented
32C22×#11758224C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic, complemented
34#16840347—28no—
35C2×#14519770C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519764C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic, complemented
39C2×#14519763C2211yescharacteristic
40#16840272—28no—
41C2×#14519759C2211yescharacteristic
42C2×#14519759C2211yescharacteristic
43C2×#14519759C2211yescharacteristic
44C2×#14519759C2211yescharacteristic, complemented
45C2×#14519758C2211yescharacteristic
46C2×#14519758C2211yescharacteristic, complemented
47C2×#14519757C2211yescharacteristic, complemented
48C2×#14519756C2211yescharacteristic, complemented
49C2×#14519754C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519749C2211yescharacteristic
52C2×#14519749C2211yescharacteristic
53C2×#14519749C2211yescharacteristic, complemented
54C2×#14519748C2211yescharacteristic
55C2×#14519748C2211yescharacteristic
56C2×#14519748C2211yescharacteristic
57C2×#14519746C2211yescharacteristic
58C2×#14519746C2211yescharacteristic
59C2×#14519745C2211yescharacteristic
60C2×#14519745C2211yescharacteristic
61C2×#14519745C2211yescharacteristic
62C2×#14519745C2211yescharacteristic, complemented
63C2×#14519745C2211yescharacteristic, complemented
64C2×D4×Dic61C2211yescharacteristic
65C2×D4×Dic61C2211yescharacteristic, complemented
66C2×D4×Dic61C2211yescharacteristic, complemented
67C2×#14519737C2211yescharacteristic
68C2×#14519737C2211yescharacteristic, complemented
69C2×#14519735C2211yescharacteristic, complemented
70C22×C22⋊Dic61C2211yescharacteristic, complemented
71#16839702C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic, complemented
73#16839696C2211yescharacteristic, complemented
74#16839694C2211yescharacteristic, complemented
75#16839692C2211yescharacteristic, complemented
76#16839691C2211yescharacteristic, complemented
77#16839687C2211yescharacteristic, complemented
78#16839687C2211yescharacteristic, complemented
79#16839686C2211yescharacteristic, complemented
80#16839685C2211yescharacteristic, complemented
81#16839685C2211yescharacteristic, complemented
82#16839685C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839682C2211yescharacteristic, complemented
86#16839678C2211yescharacteristic
87#16839678C2211yescharacteristic
88#16839677C2211yescharacteristic
89#16839677C2211yescharacteristic
90#16839677C2211yescharacteristic, complemented
91#16839677C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic
93#16839676C2211yescharacteristic
94#16839676C2211yescharacteristic
95#16839676C2211yescharacteristic
96#16839676C2211yescharacteristic, complemented
97#16839676C2211yescharacteristic, complemented
98#16839676C2211yescharacteristic, complemented
99#16839676C2211yescharacteristic, complemented
100#16839676C2211yescharacteristic, complemented
101#16839676C2211yescharacteristic, complemented
102#16839676C2211yescharacteristic, complemented
103#16839675C2211yescharacteristic, complemented
104#16839674C2211yescharacteristic, complemented
105#16839674C2211yescharacteristic, complemented
106#16839670C2211yescharacteristic
107#16839670C2211yescharacteristic
108#16839670C2211yescharacteristic
109#16839670C2211yescharacteristic
110#16839670C2211yescharacteristic
111#16839670C2211yescharacteristic
112#16839670C2211yescharacteristic, complemented
113#16839668C2211yescharacteristic, complemented
114#16839666C2211yescharacteristic, complemented
115#16839665C2211yescharacteristic
116#16839665C2211yescharacteristic, complemented
117#16839665C2211yescharacteristic, complemented
118#16839662C2211yescharacteristic
119#16839662C2211yescharacteristic
120#16839662C2211yescharacteristic
121#16839662C2211yescharacteristic
122#16839662C2211yescharacteristic, complemented
123#16839662C2211yescharacteristic, complemented
124#16839659C2211yescharacteristic, complemented
125#16839657C2211yescharacteristic, complemented
126#16839657C2211yescharacteristic, complemented
127#16839656C2211yescharacteristic, complemented
128#16839656C2211yescharacteristic, complemented
129#16839656C2211yescharacteristic, complemented
130#16839656C2211yescharacteristic, complemented
131#16839655C2211yescharacteristic, complemented
132#16839655C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic, complemented
134#16839653C2211yescharacteristic, complemented
135#16839653C2211yescharacteristic, complemented
136#16839651C2211yescharacteristic, complemented
137#16839650C2211yescharacteristic, complemented
138#16839650C2211yescharacteristic, complemented
139#16839649C2211yescharacteristic, complemented
140#16839649C2211yescharacteristic, complemented
141#16839642C2211yescharacteristic
142#16839642C2211yescharacteristic
143#16839642C2211yescharacteristic, complemented
144#16839642C2211yescharacteristic, complemented
145#16839642C2211yescharacteristic, complemented
146#16839642C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic, complemented
148#16839642C2211yescharacteristic, complemented
149#16839639C2211yescharacteristic
150#16839638C2211yescharacteristic
151#16839638C2211yescharacteristic
152#16839638C2211yescharacteristic
153#16839638C2211yescharacteristic
154#16839638C2211yescharacteristic, complemented
155#16839638C2211yescharacteristic, complemented
156#16839637C2211yescharacteristic, complemented
157#16839637C2211yescharacteristic, complemented
158#16839637C2211yescharacteristic, complemented
159#16839636C2211yescharacteristic, complemented
160#16839636C2211yescharacteristic, complemented
161#16839635C2211yescharacteristic, complemented
162#16839624C2211yescharacteristic, complemented
163#16839624C2211yescharacteristic, complemented
164#16839623C2211yescharacteristic, complemented
165#16839623C2211yescharacteristic, complemented
166#16839622C2211yescharacteristic, complemented
167#16839620C2211yescharacteristic, complemented
168#16839619C2211yescharacteristic, complemented
169#16839619C2211yescharacteristic, complemented
170#16839618C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172C4×#11758196C2211yescharacteristic, complemented
173#16839607C2211yescharacteristic, complemented
174C2×#127×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic, complemented
179C2×#120×C61C2211yescharacteristic, complemented
180C61×#394C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#392C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#392C2211yescharacteristic, complemented
185C61×#392C2211yescharacteristic, complemented
186C61×#388C2211yescharacteristic, complemented
187C61×#388C2211yescharacteristic, complemented
188C61×#386C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C2×#11758224—24no—
191C2×#11758224—42no—
192C2×#11758224—42no—
193C22×Dic122C2311yescharacteristic
194C22×Dic122C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
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
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C22×C4×D61—24no—
211C22×C4×D61—42no—
212C22×C4×D61—42no—
213C22×C4×D61C2311yescharacteristic
214C22×C4×D61C2311yescharacteristic
215C22×C4×D61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217#14519770—24no—
218#14519770—24no—
219#14519764—24no—
220#14519764—42no—
221#14519763—24no—
222#14519759—24no—
223#14519759—24no—
224#14519759—24no—
225#14519759—42no—
226#14519758—24no—
227#14519758—42no—
228#14519757—24no—
229#14519756—24no—
230#14519754—24no—
231#14519754—42no—
232#14519749—24no—
233#14519749—24no—
234#14519749—42no—
235#14519748—24no—
236#14519748—24no—
237#14519748—42no—
238#14519746—24no—
239#14519746—42no—
240#14519745—24no—
241#14519745—24no—
242#14519745—42no—
243#14519745—42no—
244#14519745—42no—
245D4×Dic61—24no—
246D4×Dic61—24no—
247D4×Dic61—24no—
248#14519737—24no—
249#14519737D418yescomplemented
250#14519735—24no—
251C2×C4⋊Dic61C2311yescharacteristic
252C2×C4⋊Dic61C2311yescharacteristic
253C2×C4⋊Dic61C2311yescharacteristic
254C2×C4⋊Dic61C2311yescharacteristic
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
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×C22⋊Dic61—24no—
274C2×C22⋊Dic61C2311yescharacteristic
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
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×#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×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C2×C4×Dic61C2311yescharacteristic
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
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—42no—
365#121×C61—24no—
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×D61—22no—
405C23×D61—22no—
406C23×D61—22no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61C2411yescharacteristic
412C23×D61C2411yescharacteristic
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—22no—
418C2×D4×C61—22no—
419C2×D4×C61—22no—
420C2×D4×C61—22no—
421C2×D4×C61—22no—
422C2×D4×C61—22no—
423C2×D4×C61—22no—
424C2×D4×C61—22no—
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×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C2×D4×C61—41no—
446C2×D4×C61—41no—
447C2×D4×C61—41no—
448C2×D4×C61—41no—
449C22×C4×C61—22no—
450C22×C4×C61—22no—
451C22×C4×C61—41no—
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
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—
490C2×C22⋊D61C2×D414yes—
491C22×Dic61—22no—
492C22×Dic61—22no—
493C22×Dic61—22no—
494C22×Dic61—22no—
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×Dic61C2×D414yes—
506C22×Dic61C2411yescharacteristic
507C22×Dic61C2411yescharacteristic
508C22×Dic61C2411yescharacteristic
509C22×Dic61C2411yescharacteristic
510C22×Dic61C2411yescharacteristic
511C22×Dic61C2411yescharacteristic
512C22×Dic61C2411yescharacteristic
513C22×Dic61C2411yescharacteristic
514C22×Dic61C2411yescharacteristic
515C22×Dic61C2411yescharacteristic
516C22×Dic61C2411yescharacteristic
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520#11758224—416no—
521C2×C4×D61—22no—
522C2×C4×D61—22no—
523C2×C4×D61—22no—
524C2×C4×D61—22no—
525C2×C4×D61—22no—
526C2×C4×D61—22no—
527C2×C4×D61—22no—
528C2×C4×D61—416no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61C2×D414yes—
534C2×Dic122—22no—
535C2×Dic122—22no—
536C2×Dic122—22no—
537C2×Dic122—41no—
538C2×Dic122—41no—
539C2×Dic122—41no—
540C4⋊C4×C61—22no—
541C4⋊C4×C61—41no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—22no—
547C22⋊C4×C61—22no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61C2×D414yes—
556C42×C61—41no—
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—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—41no—
574C22⋊Dic61—41no—
575C22⋊Dic61—41no—
576C22⋊Dic61—41no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
581C22⋊Dic61—41no—
582C22⋊Dic61—41no—
583C22⋊Dic61—41no—
584C22⋊Dic61—41no—
585C22⋊Dic61—41no—
586C22⋊Dic61—41no—
587C22⋊Dic61—41no—
588C22⋊Dic61—41no—
589#11758198—22no—
590#11758198—22no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198C2×D414yes—
603C4⋊Dic61—22no—
604C4⋊Dic61—22no—
605C4⋊Dic61—22no—
606C4⋊Dic61—22no—
607C4⋊Dic61—22no—
608C4⋊Dic61—41no—
609C4⋊Dic61—41no—
610C4⋊Dic61—41no—
611#11758196—22no—
612#11758196—22no—
613#11758196—22no—
614#11758196—22no—
615#11758196—22no—
616#11758196—41no—
617#11758196—41no—
618#11758196—41no—
619#11758196—41no—
620#11758196—41no—
621#11758196—41no—
622#11758196—41no—
623#11758196—41no—
624#11758196C2×D414yes—
625C4×Dic61—22no—
626C4×Dic61—22no—
627C4×Dic61—41no—
628C4×Dic61—41no—
629C4×Dic61—41no—
630C4×Dic61C2×D414yes—
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—21no—
670C23×C61—21no—
671C23×C61—44no—
672C23×C61—82no—
673C23×C61—82no—
674C23×C61—82no—
675C23×C61—82no—
676C23×C61—82no—
677C23×C61—82no—
678C23×C61C22×D412yes—
679C23×C61H(5,𝔽2)12yes—
680C23×C61C2511yescharacteristic
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—
693C22×D61—44no—
694C22×D61—44no—
695C22×D61—44no—
696C22×D61—44no—
697C22×D61—44no—
698C22×D61—44no—
699C22×D61—44no—
700C22×D61C22×D412yes—
701C22×D61H(5,𝔽2)12yes—
702D4×C61—44no—
703D4×C61—44no—
704D4×C61—44no—
705D4×C61—44no—
706D4×C61—82no—
707D4×C61—82no—
708D4×C61—82no—
709D4×C61—82no—
710D4×C61—82no—
711D4×C61—82no—
712D4×C61—82no—
713D4×C61—82no—
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—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—21no—
738C2×C4×C61—44no—
739C2×C4×C61C22×D412yes—
740C2×C4×C61C22×D412yes—
741C2×C4×C61H(5,𝔽2)12yes—
742C22⋊D61—44no—
743C22⋊D61—44no—
744C22⋊D61—44no—
745C22⋊D61—44no—
746C22⋊D61—82no—
747C22⋊D61—82no—
748C22⋊D61—82no—
749C22⋊D61—82no—
750C22⋊D61—82no—
751C22⋊D61—82no—
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—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—44no—
792C2×Dic61—44no—
793C2×Dic61—44no—
794C2×Dic61—82no—
795C2×Dic61—82no—
796C2×Dic61C22×D412yes—
797C2×Dic61C22×D412yes—
798C2×Dic61C22×D412yes—
799C4×D61—28no—
800C4×D61—44no—
801C4×D61—44no—
802C4×D61—44no—
803Dic122—44no—
804Dic122—82no—
805#36724—611nomaximal, Sylow
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
810C22×C61—22no—
811C22×C61—22no—
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—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—88no—
849C22×C61C23×D411yescharacteristic
850C22×C61C2×H(5,𝔽2)11yescharacteristic
851C22×C61C2×H(5,𝔽2)11yescharacteristic
852C22×C61C2×H(5,𝔽2)11yescharacteristic
853C22×C61#58511yescharacteristic
854C22×C61#58511yescharacteristic
855C22×C61#58511yescharacteristic
856C2×D61—22no—
857C2×D61—22no—
858C2×D61—22no—
859C2×D61—22no—
860C2×D61—22no—
861C2×D61—22no—
862C2×D61—416no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—41no—
871C4×C61—22no—
872C4×C61—22no—
873C4×C61—22no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61—41no—
880Dic61—22no—
881Dic61—22no—
882Dic61—22no—
883Dic61—41no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61—41no—
892Dic61—41no—
893Dic61—41no—
894C2×#538—611no—
895C2×#525—611no—
896#2849—611no—
897#2847—611no—
898#2705—611no—
899#2702—611no—
900#2700—611no—
901#2699—611no—
902#2687—611no—
903#2682—611no—
904#2681—611no—
905#2681—611no—
906#2679—611no—
907#2678—611no—
908#2678—611no—
909#2678—611no—
910#2672—611no—
911#2670—611no—
912#2669—611no—
913#2669D6111yescharacteristic, complemented
914#2635—611no—
915#2630—611no—
916#2610—611no—
917#2603—611no—
918#2601—611no—
919#2600—611no—
920#2544—611no—
921#2534—611no—
922#2407—611no—
923#2404—611no—
924#2319—611no—
925C2×C61—42no—
926C2×C61—42no—
927C2×C61—81no—
928C2×C61—81no—
929C2×C61—81no—
930C2×C61—81no—
931C2×C61#344911yescharacteristic
932C2×C61#348411yescharacteristic
933C2×C61#348811yescharacteristic
934C2×C61#353311yescharacteristic
935C2×C61#353411yescharacteristic
936C2×C61#354011yescharacteristic
937C2×C61#354211yescharacteristic
938D61—42no—
939D61—42no—
940C22×#41—611no—
941C24×C4—611no—
942#538—1228no—
943C2×#127C2×D6111yescharacteristic
944C2×#126—611no—
945C2×#126—611no—
946C2×#124—611no—
947C2×#124—611no—
948C2×#124—611no—
949#525—1228no—
950C2×#123—611no—
951C2×#123—611no—
952C2×#123—611no—
953C2×#123—611no—
954C2×#123—611no—
955C2×#123—611no—
956C2×C22⋊Q8—611no—
957C2×C22⋊Q8—611no—
958C2×C22⋊Q8—611no—
959C2×C22⋊Q8—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×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×#120C2×D6111yescharacteristic
976C2×#120C2×D6111yescharacteristic, complemented
977C2×#120C2×D6111yescharacteristic, complemented
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×C4×D4—611no—
981C2×C4×D4—611no—
982C2×C4×D4—611no—
983C2×#117—611no—
984C22×C22⋊C4—611no—
985#400—611no—
986#399—611no—
987#398—611no—
988#398—611no—
989#398—611no—
990#397—611no—
991#397—611no—
992#397—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#395—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#394—611no—
1011#394—611no—
1012#394—611no—
1013#394—611no—
1014#394—611no—
1015#394—611no—
1016#394—611no—
1017#394C2×D6111yescharacteristic, complemented
1018#394C2×D6111yescharacteristic, complemented
1019#393—611no—
1020#393—611no—
1021#393—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#392—611no—
1029#392C2×D6111yescharacteristic
1030#392C2×D6111yescharacteristic
1031#392C2×D6111yescharacteristic, complemented
1032#392C2×D6111yescharacteristic, complemented
1033#391—611no—
1034#391—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#390—611no—
1042#390—611no—
1043#390—611no—
1044#389—611no—
1045#389—611no—
1046#389—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#388—611no—
1057#388—611no—
1058#388—611no—
1059#388C2×D6111yescharacteristic, complemented
1060#388C2×D6111yescharacteristic, complemented
1061#387—611no—
1062#387—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#386—611no—
1073#386—611no—
1074#386—611no—
1075#386—611no—
1076#386—611no—
1077#386—611no—
1078#386C2×D6111yescharacteristic
1079#385—611no—
1080#385—611no—
1081#385—611no—
1082#385—611no—
1083#385—611no—
1084#385—611no—
1085#381—611no—
1086#381—611no—
1087#381—611no—
1088#381—611no—
1089#380—611no—
1090#380—611no—
1091#380—611no—
1092#380—611no—
1093#379—611no—
1094#379—611no—
1095C4×C4⋊C4—611no—
1096#376—611no—
1097C61#3672411yescharacteristic, complemented, Sylow
1098C25—611no—
1099C25C22×D6111yescharacteristic
1100C2×#41—1224no—
1101C2×#41—2442no—
1102C2×#41—2442no—
1103C22×Q8—611no—
1104C22×Q8—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4C22×D6111yescharacteristic
1116C22×D4C22×D6111yescharacteristic
1117C22×D4C22×D6111yescharacteristic
1118C22×D4C22×D6111yescharacteristic
1119C22×D4C22×D6111yescharacteristic
1120C22×D4C22×D6111yescharacteristic
1121C22×D4C22×D6111yescharacteristic
1122C22×D4C22×D6111yescharacteristic
1123C22×D4C22×D6111yescharacteristic
1124C22×D4C22×D6111yescharacteristic
1125C22×D4C22×D6111yescharacteristic
1126C22×D4C22×D6111yescharacteristic
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—611no—
1134C23×C4—611no—
1135C23×C4—611no—
1136C23×C4—1224no—
1137C23×C4—2442no—
1138C23×C4—2442no—
1139C23×C4C22×D6111yescharacteristic
1140#127—42no—
1141#126—1224no—
1142#126—1224no—
1143#124—1224no—
1144#124—1224no—
1145#124—2442no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—2442no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154C22⋊Q8—1224no—
1155C22⋊Q8—2442no—
1156#121—24no—
1157#121—42no—
1158#121—1224no—
1159#121—1224no—
1160#121—1224no—
1161#121—1224no—
1162#121—2442no—
1163#121—2442no—
1164#120—24no—
1165#120—42no—
1166#120—42no—
1167#120—1224no—
1168#120—1224no—
1169#120—1224no—
1170#120—2442no—
1171#120—2442no—
1172#120—2442no—
1173#120—2442no—
1174C4×D4—618no—
1175C4×D4—1224no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4—1224no—
1179#117—1224no—
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⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—1224no—
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×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C22⋊C4C22×D6111yescharacteristic
1261C2×C22⋊C4C22×D6111yescharacteristic
1262C2×C22⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4C22×D6111yescharacteristic
1264C2×C22⋊C4C22×D6111yescharacteristic
1265C2×C42—611no—
1266C2×C42—611no—
1267C2×C42—611no—
1268C2×C42—611no—
1269C2×C42—611no—
1270C2×C42—611no—
1271C2×C42C22×D6111yescharacteristic
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#95—611no—
1288#95—611no—
1289#95—611no—
1290#95—611no—
1291#95—611no—
1292#95—611no—
1293#95—611no—
1294#95—611no—
1295#95—611no—
1296#95C22×D6111yescharacteristic
1297#95C22×D6111yescharacteristic
1298#95C22×D6111yescharacteristic
1299#95C22×D6111yescharacteristic
1300C24—22no—
1301C24—41no—
1302C24—41no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—611no—
1308C24—611no—
1309C24—1222no—
1310C24—1222no—
1311C24—1222no—
1312C24—2441no—
1313C24—2441no—
1314C24—2441no—
1315C24—2441no—
1316C24C23×D6111yescharacteristic
1317C24C23×D6111yescharacteristic
1318C24C23×D6111yescharacteristic
1319C24C23×D6111yescharacteristic
1320C24C23×D6111yescharacteristic
1321C24C23×D6111yescharacteristic
1322#41—24416no—
1323C2×Q8—1222no—
1324C2×Q8—1222no—
1325C2×Q8—1222no—
1326C2×Q8—2441no—
1327C2×Q8—2441no—
1328C2×Q8—2441no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—614no—
1366C2×D4—1222no—
1367C2×D4—1222no—
1368C2×D4—1222no—
1369C2×D4—1222no—
1370C2×D4—1222no—
1371C2×D4—1222no—
1372C2×D4—1222no—
1373C2×D4—1222no—
1374C2×D4—1222no—
1375C2×D4—1222no—
1376C2×D4—1222no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C2×D4—2441no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—614no—
1402C22×C4—614no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—611no—
1410C22×C4—611no—
1411C22×C4—611no—
1412C22×C4—611no—
1413C22×C4—611no—
1414C22×C4—1222no—
1415C22×C4—1222no—
1416C22×C4—1222no—
1417C22×C4—1222no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—1222no—
1423C22×C4—1222no—
1424C22×C4—1222no—
1425C22×C4—2441no—
1426C22×C4—2441no—
1427C22×C4—2441no—
1428C22×C4—2441no—
1429C22×C4—24416no—
1430C22×C4—2441no—
1431C22×C4—2441no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4—2441no—
1435C22×C4—2441no—
1436C22×C4—2441no—
1437C22×C4—2441no—
1438C22×C4—2441no—
1439C22×C4—2441no—
1440C22×C4C23×D6111yescharacteristic
1441C22×C4C23×D6111yescharacteristic
1442C22×C4C23×D6111yescharacteristic
1443C22×C4C23×D6111yescharacteristic
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—614no—
1452C4⋊C4—1222no—
1453C4⋊C4—1222no—
1454C4⋊C4—1222no—
1455C4⋊C4—1222no—
1456C4⋊C4—1222no—
1457C4⋊C4—1222no—
1458C4⋊C4—1222no—
1459C4⋊C4—1222no—
1460C4⋊C4—1222no—
1461C4⋊C4—1222no—
1462C4⋊C4—2441no—
1463C4⋊C4—2441no—
1464C4⋊C4—2441no—
1465C4⋊C4—2441no—
1466C4⋊C4—2441no—
1467C4⋊C4—2441no—
1468C4⋊C4—2441no—
1469C4⋊C4—2441no—
1470C4⋊C4—2441no—
1471C4⋊C4—2441no—
1472C4⋊C4—2441no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—614no—
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—1222no—
1501C22⋊C4—1222no—
1502C22⋊C4—1222no—
1503C22⋊C4—1222no—
1504C22⋊C4—1222no—
1505C22⋊C4—1222no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
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—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4—2441no—
1532C22⋊C4D4×D6114yes—
1533C42—41no—
1534C42—614no—
1535C42—1222no—
1536C42—1222no—
1537C42—2441no—
1538C42—2441no—
1539C42—2441no—
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—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—44no—
1581C23—82no—
1582C23—82no—
1583C23—82no—
1584C23—82no—
1585C23—82no—
1586C23—82no—
1587C23—612no—
1588C23—612no—
1589C23—1221no—
1590C23—1221no—
1591C23—1221no—
1592C23—1221no—
1593C23—1221no—
1594C23—1221no—
1595C23—1221no—
1596C23—1221no—
1597C23—1221no—
1598C23—1221no—
1599C23—1221no—
1600C23—1221no—
1601C23—2444no—
1602C23—2444no—
1603C23—2444no—
1604C23—2444no—
1605C23—2444no—
1606C23—2444no—
1607C23—2444no—
1608C23C2×D4×D6112yes—
1609C23#1451982212yes—
1610C23C24×D6111yescharacteristic
1611Q8—4882no—
1612Q8—2444no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—82no—
1621D4—82no—
1622D4—82no—
1623D4—82no—
1624D4—82no—
1625D4—4882no—
1626D4—4882no—
1627D4—4882no—
1628D4—4882no—
1629D4—4882no—
1630D4—4882no—
1631D4—2444no—
1632D4—2444no—
1633D4—2444no—
1634D4—2444no—
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—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—44no—
1660C2×C4—612no—
1661C2×C4—612no—
1662C2×C4—612no—
1663C2×C4—1228no—
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—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—1221no—
1699C2×C4—1221no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—4882no—
1704C2×C4—4882no—
1705C2×C4—2444no—
1706C2×C4—2444no—
1707C2×C4—2444no—
1708C2×C4—2444no—
1709C2×C4—2444no—
1710C2×C4—2444no—
1711C2×C4C2×D4×D6112yes—
1712C2×C4C2×D4×D6112yes—
1713C2×C4#1451982212yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
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—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—88no—
1757C22—1222no—
1758C22—1222no—
1759C22—1222no—
1760C22—1222no—
1761C22—1222no—
1762C22—1222no—
1763C22—24416no—
1764C22—2441no—
1765C22—2441no—
1766C22—2441no—
1767C22—2441no—
1768C22—2441no—
1769C22—2441no—
1770C22—2441no—
1771C22—2441no—
1772C22C22×D4×D6111yescharacteristic
1773C22H(5,𝔽2)×D6111yescharacteristic
1774C22C2×#1451982211yescharacteristic
1775C22C2×#1451982211yescharacteristic
1776C22#1684059711yescharacteristic
1777C22#1684059711yescharacteristic
1778C22#1684059711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—1222no—
1789C4—1222no—
1790C4—1222no—
1791C4—2441no—
1792C4—2441no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C4—2441no—
1797C4—2441no—
1798C4—2441no—
1799C4—2441no—
1800C4—2441no—
1801C4—2441no—
1802C2—42no—
1803C2—42no—
1804C2—81no—
1805C2—81no—
1806C2—81no—
1807C2—81no—
1808C2—2442no—
1809C2—2442no—
1810C2#2145915011yescharacteristic
1811C2#2145944711yescharacteristic
1812C2#2145947911yescharacteristic
1813C2#2145998811yescharacteristic
1814C2#2146000611yescharacteristic
1815C2#2146008511yescharacteristic
1816C2#2146014011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2669C2
hypercenter#2669D61
hypocenterC61#36724
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#16840347C2semidirect
2. C2×#16840272C2semidirect
3. #21454110C2semidirect
4. #21454098C2semidirect
5. #21452498C2semidirect
6. #21452451C2semidirect
7. #21452412C2semidirect
8. #21452409C2semidirect
9. #21452238C2semidirect
10. #21452186C2semidirect
11. #21452170C2semidirect
12. #21452165C2semidirect
13. #21452153C2semidirect
14. #21452146C2semidirect
15. #21452140C2semidirect
16. #21452140C2semidirect
17. #21452064C2semidirect
18. #21452044C2semidirect
19. #21452032C2semidirect
20. #21451708C2semidirect
21. #21451663C2semidirect
22. #21451509C2semidirect
23. #21451439C2semidirect
24. #21451423C2semidirect
25. #21451400C2semidirect
26. #21450787C2semidirect
27. #21450706C2semidirect
28. #21449157C2semidirect
29. #21449135C2semidirect
30. #21448460C2semidirect
31. C61×#2669C2semidirect
33. C23×C4×D61C22semidirect
35. C2×#14519770C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519764C22semidirect
38. C2×#14519764C22semidirect
44. C2×#14519759C22semidirect
46. C2×#14519758C22semidirect
47. C2×#14519757C22semidirect
48. C2×#14519756C22semidirect
49. C2×#14519754C22semidirect
50. C2×#14519754C22semidirect
53. C2×#14519749C22semidirect
62. C2×#14519745C22semidirect
63. C2×#14519745C22semidirect
65. C2×D4×Dic61C22semidirect
66. C2×D4×Dic61C22semidirect
68. C2×#14519737C22semidirect
69. C2×#14519735C22semidirect
70. C22×C22⋊Dic61C22semidirect
71. #16839702C22semidirect
72. #16839698C22semidirect
73. #16839696C22semidirect
74. #16839694C22semidirect
75. #16839692C22semidirect
76. #16839691C22semidirect
77. #16839687C22semidirect
78. #16839687C22semidirect
79. #16839686C22semidirect
80. #16839685C22semidirect
81. #16839685C22semidirect
82. #16839685C22semidirect
83. #16839685C22semidirect
84. #16839685C22semidirect
85. #16839682C22semidirect
90. #16839677C22semidirect
91. #16839677C22semidirect
96. #16839676C22semidirect
97. #16839676C22semidirect
98. #16839676C22semidirect
99. #16839676C22semidirect
100. #16839676C22semidirect
101. #16839676C22semidirect
102. #16839676C22semidirect
103. #16839675C22semidirect
104. #16839674C22semidirect
105. #16839674C22semidirect
112. #16839670C22semidirect
113. #16839668C22semidirect
114. #16839666C22semidirect
116. #16839665C22semidirect
117. #16839665C22semidirect
122. #16839662C22semidirect
123. #16839662C22semidirect
124. #16839659C22semidirect
125. #16839657C22semidirect
126. #16839657C22semidirect
127. #16839656C22semidirect
128. #16839656C22semidirect
129. #16839656C22semidirect
130. #16839656C22semidirect
131. #16839655C22semidirect
132. #16839655C22semidirect
133. #16839655C22semidirect
134. #16839653C22semidirect
135. #16839653C22semidirect
136. #16839651C22semidirect
137. #16839650C22semidirect
138. #16839650C22semidirect
139. #16839649C22semidirect
140. #16839649C22semidirect
143. #16839642C22semidirect
144. #16839642C22semidirect
145. #16839642C22semidirect
146. #16839642C22semidirect
147. #16839642C22semidirect
148. #16839642C22semidirect
154. #16839638C22semidirect
155. #16839638C22semidirect
156. #16839637C22semidirect
157. #16839637C22semidirect
158. #16839637C22semidirect
159. #16839636C22semidirect
160. #16839636C22semidirect
161. #16839635C22semidirect
162. #16839624C22semidirect
163. #16839624C22semidirect
164. #16839623C22semidirect
165. #16839623C22semidirect
166. #16839622C22semidirect
167. #16839620C22semidirect
168. #16839619C22semidirect
169. #16839619C22semidirect
170. #16839618C22semidirect
171. #16839617C22semidirect
172. C4×#11758196C22semidirect
173. #16839607C22semidirect
178. C2×#120×C61C22semidirect
179. C2×#120×C61C22semidirect
180. C61×#394C22semidirect
181. C61×#394C22semidirect
184. C61×#392C22semidirect
185. C61×#392C22semidirect
186. C61×#388C22semidirect
187. C61×#388C22semidirect
249. #14519737D4semidirect
913. #2669D61semidirect
976. C2×#120C2×D61semidirect
977. C2×#120C2×D61semidirect
1017. #394C2×D61semidirect
1018. #394C2×D61semidirect
1031. #392C2×D61semidirect
1032. #392C2×D61semidirect
1059. #388C2×D61semidirect
1060. #388C2×D61semidirect
1097. C61#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#168403472
C2×#168402722
#214541102
#214540982
#214524982
#214524512
#214524122
#214524092
#214522382
#214521862
#214521702
#214521652
#214521532
#214521462
#214521402
#214520642
#214520442
#214520322
#214517082
#214516632
#214515092
#214514392
#214514232
#214514002
#214507872
#214507062
#214491572
#214491352
#214484602
C61×#26692
#3672461