Finite Group Databasebeta

← #29847783

Subgroups — #29847783

Order 15616.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840293C211yesmaximal, characteristic, complemented
2C22×D4×Dic61C211yesmaximal, characteristic, complemented
3#21450079C211yesmaximal, characteristic, complemented
4#21450064C211yesmaximal, characteristic, complemented
5#21449959C211yesmaximal, characteristic, complemented
6#21449944C211yesmaximal, characteristic, complemented
7#21449865C211yesmaximal, characteristic, complemented
8#21449850C211yesmaximal, characteristic, complemented
9#21449766C211yesmaximal, characteristic, complemented
10#21449751C211yesmaximal, characteristic, complemented
11#21449647C211yesmaximal, characteristic, complemented
12#21449565C211yesmaximal, characteristic, complemented
13#21449480C211yesmaximal, characteristic, complemented
14#21449376C211yesmaximal, characteristic, complemented
15#21449294C211yesmaximal, characteristic, complemented
16#21449216C211yesmaximal, characteristic, complemented
17#21449142C211yesmaximal, characteristic, complemented
18#21449107C211yesmaximal, characteristic, complemented
19#21449075C211yesmaximal, characteristic, complemented
20#21449054C211yesmaximal, characteristic, complemented
21#21449054C211yesmaximal, characteristic, complemented
22#21448351C211yesmaximal, characteristic, complemented
23#21448344C211yesmaximal, characteristic, complemented
24#121×Dic61C211yesmaximal, characteristic, complemented
25#120×Dic61C211yesmaximal, characteristic, complemented
26#120×Dic61C211yesmaximal, characteristic, complemented
27#21448259C211yesmaximal, characteristic, complemented
28#21448259C211yesmaximal, characteristic, complemented
29#21448197C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2410C211yesmaximal, characteristic
32C24×Dic61C2211yescharacteristic
33C24×Dic61C2211yescharacteristic
34#16840293—28no—
35C2×#14519770C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×#14519768C2211yescharacteristic, complemented
38C2×#14519764C2211yescharacteristic, complemented
39C2×#14519758C2211yescharacteristic
40C2×#14519758C2211yescharacteristic
41C2×#14519758C2211yescharacteristic, complemented
42C2×#14519756C2211yescharacteristic, complemented
43C2×#14519754C2211yescharacteristic
44C2×#14519742C2211yescharacteristic, complemented
45C2×D4×Dic61—28no—
46C2×D4×Dic61C2211yescharacteristic
47C2×D4×Dic61C2211yescharacteristic
48C2×D4×Dic61C2211yescharacteristic
49C2×D4×Dic61C2211yescharacteristic
50C2×D4×Dic61C2211yescharacteristic
51C2×D4×Dic61C2211yescharacteristic
52C2×D4×Dic61C2211yescharacteristic
53C2×D4×Dic61C2211yescharacteristic
54C2×D4×Dic61C2211yescharacteristic
55C2×D4×Dic61C2211yescharacteristic, complemented
56C2×D4×Dic61C2211yescharacteristic, complemented
57C2×D4×Dic61C2211yescharacteristic, complemented
58C2×D4×Dic61C2211yescharacteristic, complemented
59C2×#14519733C2211yescharacteristic, complemented
60C2×#14519733C2211yescharacteristic, complemented
61C2×#14519733C2211yescharacteristic, complemented
62C22×C4⋊Dic61C2211yescharacteristic
63C22×C22⋊Dic61C2211yescharacteristic
64C22×C22⋊Dic61C2211yescharacteristic
65C22×C22⋊Dic61C2211yescharacteristic
66C22×C4×Dic61C2211yescharacteristic
67C22×C4×Dic61C2211yescharacteristic, complemented
68C22×C4×Dic61C2211yescharacteristic, complemented
69#16839704C2211yescharacteristic, complemented
70#16839702C2211yescharacteristic, complemented
71#16839701C2211yescharacteristic, complemented
72#16839698C2211yescharacteristic, complemented
73#16839695C2211yescharacteristic, complemented
74#16839694C2211yescharacteristic, complemented
75#16839694C2211yescharacteristic, complemented
76#16839690C2211yescharacteristic, complemented
77#16839690C2211yescharacteristic, complemented
78#16839690C2211yescharacteristic, complemented
79#16839690C2211yescharacteristic, complemented
80#16839687C2211yescharacteristic, complemented
81#16839687C2211yescharacteristic, complemented
82#16839687C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic, complemented
84#16839685C2211yescharacteristic, complemented
85#16839685C2211yescharacteristic, complemented
86#16839685C2211yescharacteristic, complemented
87#16839676C2211yescharacteristic
88#16839676C2211yescharacteristic
89#16839676C2211yescharacteristic
90#16839676C2211yescharacteristic
91#16839676C2211yescharacteristic, complemented
92#16839676C2211yescharacteristic, complemented
93#16839676C2211yescharacteristic, complemented
94#16839676C2211yescharacteristic, complemented
95#16839674C2211yescharacteristic, complemented
96#16839674C2211yescharacteristic, complemented
97#16839666C2211yescharacteristic, complemented
98#16839665C2211yescharacteristic, complemented
99#16839661C2211yescharacteristic, complemented
100#16839657C2211yescharacteristic, complemented
101#16839656C2211yescharacteristic, complemented
102#16839656C2211yescharacteristic, complemented
103#16839656C2211yescharacteristic, complemented
104#16839656C2211yescharacteristic, complemented
105#16839655C2211yescharacteristic, complemented
106#16839655C2211yescharacteristic, complemented
107#16839650C2211yescharacteristic, complemented
108#16839650C2211yescharacteristic, complemented
109#16839649C2211yescharacteristic, complemented
110#16839649C2211yescharacteristic, complemented
111#16839647C2211yescharacteristic, complemented
112#16839647C2211yescharacteristic, complemented
113#16839647C2211yescharacteristic, complemented
114#16839645C2211yescharacteristic, complemented
115#16839645C2211yescharacteristic, complemented
116#16839643C2211yescharacteristic, complemented
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic
121#16839642C2211yescharacteristic
122#16839642C2211yescharacteristic, complemented
123#16839642C2211yescharacteristic, complemented
124#16839642C2211yescharacteristic, complemented
125#16839642C2211yescharacteristic, complemented
126#16839642C2211yescharacteristic, complemented
127#16839637C2211yescharacteristic
128#16839637C2211yescharacteristic
129#16839637C2211yescharacteristic, complemented
130#16839637C2211yescharacteristic, complemented
131#16839637C2211yescharacteristic, complemented
132#16839637C2211yescharacteristic, complemented
133#16839635C2211yescharacteristic
134#16839635C2211yescharacteristic
135#16839635C2211yescharacteristic, complemented
136#16839635C2211yescharacteristic, complemented
137#16839634C2211yescharacteristic
138#16839634C2211yescharacteristic, complemented
139#16839623C2211yescharacteristic, complemented
140#16839623C2211yescharacteristic, complemented
141#16839623C2211yescharacteristic, complemented
142#16839622C2211yescharacteristic, complemented
143#16839620C2211yescharacteristic
144#16839620C2211yescharacteristic
145#16839620C2211yescharacteristic
146#16839620C2211yescharacteristic, complemented
147#16839620C2211yescharacteristic, complemented
148#16839618C2211yescharacteristic
149#16839618C2211yescharacteristic
150#16839618C2211yescharacteristic
151C4⋊C4×Dic61C2211yescharacteristic, complemented
152#16839613C2211yescharacteristic, complemented
153#16839613C2211yescharacteristic, complemented
154#16839613C2211yescharacteristic, complemented
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic, complemented
161C22⋊C4×Dic61C2211yescharacteristic, complemented
162C22⋊C4×Dic61C2211yescharacteristic, complemented
163C22⋊C4×Dic61C2211yescharacteristic, complemented
164C22⋊C4×Dic61C2211yescharacteristic, complemented
165C22⋊C4×Dic61C2211yescharacteristic, complemented
166C22⋊C4×Dic61C2211yescharacteristic, complemented
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C22⋊C4×Dic61C2211yescharacteristic, complemented
171#16839607C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C23×D4×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic
176C2×#121×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×#120×C61C2211yescharacteristic
179C22×C22⋊C4×C61C2211yescharacteristic
180C61×#394C2211yescharacteristic
181C61×#394C2211yescharacteristic
182C61×#392C2211yescharacteristic
183C61×#392C2211yescharacteristic
184C61×#386C2211yescharacteristic
185C61×#386C2211yescharacteristic
186C61×#386C2211yescharacteristic
187C61×#385C2211yescharacteristic
188C61×#379C2211yescharacteristic
189C22×Dic122C2311yescharacteristic
190C23×Dic61—24no—
191C23×Dic61—24no—
192C23×Dic61—24no—
193C23×Dic61—24no—
194C23×Dic61—42no—
195C23×Dic61—42no—
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C23×Dic61C2311yescharacteristic
199C23×Dic61C2311yescharacteristic
200C23×Dic61C2311yescharacteristic
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C23×Dic61C2311yescharacteristic
205C23×Dic61C2311yescharacteristic
206C23×Dic61C2311yescharacteristic
207C23×Dic61C2311yescharacteristic
208C23×Dic61C2311yescharacteristic
209C23×Dic61C2311yescharacteristic
210C23×Dic61C2311yescharacteristic
211#14519770—24no—
212#14519770—24no—
213#14519768—24no—
214#14519764—24no—
215#14519758—24no—
216#14519758—24no—
217#14519758—24no—
218#14519756—24no—
219#14519754—24no—
220#14519742—24no—
221D4×Dic61—24no—
222D4×Dic61—24no—
223D4×Dic61—24no—
224D4×Dic61—24no—
225D4×Dic61—24no—
226D4×Dic61—24no—
227D4×Dic61—24no—
228D4×Dic61—24no—
229D4×Dic61—24no—
230D4×Dic61—24no—
231D4×Dic61—42no—
232D4×Dic61—42no—
233D4×Dic61D418yescomplemented
234#14519733—24no—
235#14519733—24no—
236#14519733—42no—
237C2×C4⋊Dic61—24no—
238C2×C4⋊Dic61C2311yescharacteristic
239C2×C4⋊Dic61C2311yescharacteristic
240C2×C4⋊Dic61C2311yescharacteristic
241C2×C4⋊Dic61C2311yescharacteristic
242C2×C4⋊Dic61C2311yescharacteristic
243C2×C4⋊Dic61C2311yescharacteristic
244C2×C4⋊Dic61C2311yescharacteristic
245C2×C4⋊Dic61C2311yescharacteristic
246C2×C4⋊Dic61C2311yescharacteristic
247C2×C4⋊Dic61C2311yescharacteristic
248C2×#11758196C2311yescharacteristic
249C2×#11758196C2311yescharacteristic
250C2×#11758196C2311yescharacteristic
251C2×#11758196C2311yescharacteristic
252C2×#11758196C2311yescharacteristic
253C2×#11758196C2311yescharacteristic
254C2×#11758196C2311yescharacteristic
255C2×#11758196C2311yescharacteristic
256C2×#11758196C2311yescharacteristic
257C2×#11758196C2311yescharacteristic
258C2×#11758196C2311yescharacteristic
259C2×#11758196C2311yescharacteristic
260C2×#11758196C2311yescharacteristic
261C2×#11758196C2311yescharacteristic
262C2×C22⋊Dic61—24no—
263C2×C22⋊Dic61—24no—
264C2×C22⋊Dic61—24no—
265C2×C22⋊Dic61C2311yescharacteristic
266C2×C22⋊Dic61C2311yescharacteristic
267C2×C22⋊Dic61C2311yescharacteristic
268C2×C22⋊Dic61C2311yescharacteristic
269C2×C22⋊Dic61C2311yescharacteristic
270C2×C22⋊Dic61C2311yescharacteristic
271C2×C22⋊Dic61C2311yescharacteristic
272C2×C22⋊Dic61C2311yescharacteristic
273C2×C22⋊Dic61C2311yescharacteristic
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×C4×Dic61—24no—
299C2×C4×Dic61—24no—
300C2×C4×Dic61—42no—
301C2×C4×Dic61C2311yescharacteristic
302C2×C4×Dic61C2311yescharacteristic
303C2×C4×Dic61C2311yescharacteristic
304C2×C4×Dic61C2311yescharacteristic
305C2×C4×Dic61C2311yescharacteristic
306C2×C4×Dic61C2311yescharacteristic
307C2×C4×Dic61C2311yescharacteristic
308C2×C4×Dic61C2311yescharacteristic
309C2×C4×Dic61C2311yescharacteristic
310C2×C4×Dic61C2311yescharacteristic
311C2×C4×Dic61C2311yescharacteristic
312C2×C4×Dic61C2311yescharacteristic
313C2×C4×Dic61C2311yescharacteristic
314C2×C4×Dic61C2311yescharacteristic
315C2×C4×Dic61C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
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
348C25×C61C2311yescharacteristic
349C25×C61C2311yescharacteristic
350C22×D4×C61—24no—
351C22×D4×C61—24no—
352C22×D4×C61—24no—
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
362C23×C4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365#121×C61—24no—
366#121×C61—24no—
367#120×C61—24no—
368#120×C61—24no—
369C2×C4⋊C4×C61C2311yescharacteristic
370C2×C4⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61—24no—
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×C22⋊C4×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61—22no—
392C24×C61—22no—
393C24×C61—22no—
394C24×C61—22no—
395C24×C61—22no—
396C24×C61—22no—
397C24×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61#4114yes—
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C24×C61C2411yescharacteristic
410C24×C61C2411yescharacteristic
411C2×D4×C61—232no—
412C2×D4×C61—22no—
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—22no—
426C2×D4×C61—22no—
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61C2×D414yes—
438C2×D4×C61#4114yes—
439C22×C4×C61—22no—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—22no—
445C22×C4×C61—22no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61C2411yescharacteristic
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×Dic61—22no—
458C22×Dic61—22no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—22no—
463C22×Dic61—22no—
464C22×Dic61—22no—
465C22×Dic61—22no—
466C22×Dic61—22no—
467C22×Dic61—22no—
468C22×Dic61—22no—
469C22×Dic61—22no—
470C22×Dic61—22no—
471C22×Dic61—22no—
472C22×Dic61—22no—
473C22×Dic61—22no—
474C22×Dic61—22no—
475C22×Dic61—22no—
476C22×Dic61—22no—
477C22×Dic61—22no—
478C22×Dic61—22no—
479C22×Dic61—22no—
480C22×Dic61—22no—
481C22×Dic61—22no—
482C22×Dic61—22no—
483C22×Dic61—22no—
484C22×Dic61—22no—
485C22×Dic61—22no—
486C22×Dic61—22no—
487C22×Dic61—22no—
488C22×Dic61—22no—
489C22×Dic61—22no—
490C22×Dic61—41no—
491C22×Dic61—41no—
492C22×Dic61—41no—
493C22×Dic61—41no—
494C22×Dic61—41no—
495C22×Dic61—41no—
496C22×Dic61—41no—
497C22×Dic61—41no—
498C22×Dic61—41no—
499C22×Dic61—416no—
500C22×Dic61—416no—
501C22×Dic61C2×D414yes—
502C22×Dic61C2×D414yes—
503C22×Dic61#4114yes—
504C22×Dic61C2411yescharacteristic
505C22×Dic61C2411yescharacteristic
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
520C2×Dic122—22no—
521C2×Dic122—22no—
522C2×Dic122—41no—
523C4⋊C4×C61—22no—
524C4⋊C4×C61—22no—
525C22⋊C4×C61—22no—
526C22⋊C4×C61—22no—
527C22⋊C4×C61—22no—
528C22⋊C4×C61—22no—
529C22⋊C4×C61—22no—
530C22⋊C4×C61—22no—
531C22⋊C4×C61—22no—
532C22⋊C4×C61—22no—
533C22⋊C4×C61—22no—
534C22⋊C4×C61—22no—
535C22⋊C4×C61—22no—
536C22⋊C4×C61—22no—
537C22⋊C4×C61—41no—
538C22⋊C4×C61—41no—
539C22⋊C4×C61#4114yes—
540C22⋊Dic61—22no—
541C22⋊Dic61—22no—
542C22⋊Dic61—22no—
543C22⋊Dic61—22no—
544C22⋊Dic61—22no—
545C22⋊Dic61—22no—
546C22⋊Dic61—22no—
547C22⋊Dic61—22no—
548C22⋊Dic61—22no—
549C22⋊Dic61—22no—
550C22⋊Dic61—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—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568C22⋊Dic61—41no—
569C22⋊Dic61—41no—
570C22⋊Dic61—41no—
571C22⋊Dic61C2×D414yes—
572C22⋊Dic61C2×D414yes—
573C4⋊Dic61—22no—
574C4⋊Dic61—22no—
575C4⋊Dic61—22no—
576C4⋊Dic61—22no—
577C4⋊Dic61—22no—
578C4⋊Dic61—22no—
579C4⋊Dic61—22no—
580C4⋊Dic61—41no—
581C4⋊Dic61—41no—
582C4⋊Dic61C2×D414yes—
583#11758196—22no—
584#11758196—22no—
585#11758196—22no—
586#11758196—22no—
587#11758196—22no—
588#11758196—22no—
589#11758196—22no—
590#11758196—22no—
591#11758196—22no—
592#11758196—22no—
593#11758196—41no—
594#11758196—41no—
595#11758196—41no—
596#11758196—41no—
597C4×Dic61—22no—
598C4×Dic61—22no—
599C4×Dic61—22no—
600C4×Dic61—22no—
601C4×Dic61—22no—
602C4×Dic61—22no—
603C4×Dic61—22no—
604C4×Dic61—22no—
605C4×Dic61—22no—
606C4×Dic61—22no—
607C4×Dic61—22no—
608C4×Dic61—22no—
609C4×Dic61—41no—
610C4×Dic61—41no—
611C4×Dic61C2×D414yes—
612C23×C61—21no—
613C23×C61—21no—
614C23×C61—21no—
615C23×C61—21no—
616C23×C61—21no—
617C23×C61—21no—
618C23×C61—21no—
619C23×C61—21no—
620C23×C61—28no—
621C23×C61—28no—
622C23×C61—28no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61—21no—
643C23×C61—21no—
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—44no—
649C23×C61—44no—
650C23×C61—44no—
651C23×C61—44no—
652C23×C61—44no—
653C23×C61—44no—
654C23×C61—44no—
655C23×C61—44no—
656C23×C61—44no—
657C23×C61—44no—
658C23×C61—44no—
659C23×C61C22×D412yes—
660C23×C61C22×D412yes—
661C23×C61C2×#4112yes—
662C23×C61C2×#4112yes—
663C23×C61C2×#4112yes—
664C23×C61C2×#4112yes—
665C23×C61C2×#4112yes—
666C23×C61C2×#4112yes—
667C23×C61C2×#4112yes—
668C23×C61C2511yescharacteristic
669D4×C61—28no—
670D4×C61—28no—
671D4×C61—28no—
672D4×C61—28no—
673D4×C61—44no—
674D4×C61—44no—
675D4×C61—44no—
676D4×C61—44no—
677D4×C61—44no—
678C2×C4×C61—28no—
679C2×C4×C61—21no—
680C2×C4×C61—21no—
681C2×C4×C61—21no—
682C2×C4×C61—21no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—21no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—21no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—44no—
703C2×C4×C61—44no—
704C2×C4×C61C22×D412yes—
705C2×C4×C61C2×#4112yes—
706C2×C4×C61C2×#4112yes—
707C2×C4×C61C2×#4112yes—
708C2×Dic61—21no—
709C2×Dic61—21no—
710C2×Dic61—21no—
711C2×Dic61—21no—
712C2×Dic61—21no—
713C2×Dic61—21no—
714C2×Dic61—21no—
715C2×Dic61—21no—
716C2×Dic61—28no—
717C2×Dic61—28no—
718C2×Dic61—28no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—21no—
728C2×Dic61—21no—
729C2×Dic61—21no—
730C2×Dic61—21no—
731C2×Dic61—21no—
732C2×Dic61—21no—
733C2×Dic61—21no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—44no—
753C2×Dic61—44no—
754C2×Dic61—44no—
755C2×Dic61—44no—
756C2×Dic61—44no—
757C2×Dic61—44no—
758C2×Dic61—44no—
759C2×Dic61—44no—
760C2×Dic61—44no—
761C2×Dic61—44no—
762C2×Dic61—44no—
763C2×Dic61—44no—
764C2×Dic61C22×D412yes—
765C2×Dic61C22×D412yes—
766C2×Dic61C22×D412yes—
767C2×Dic61C22×D412yes—
768C2×Dic61C2×#4112yes—
769C2×Dic61C2×#4112yes—
770C2×Dic61H(5,𝔽2)12yes—
771Dic122—44no—
772#34670—611nomaximal, Sylow
773C22×C61—22no—
774C22×C61—22no—
775C22×C61—22no—
776C22×C61—22no—
777C22×C61—22no—
778C22×C61—22no—
779C22×C61—22no—
780C22×C61—22no—
781C22×C61—22no—
782C22×C61—22no—
783C22×C61—22no—
784C22×C61—22no—
785C22×C61—22no—
786C22×C61—22no—
787C22×C61—22no—
788C22×C61—22no—
789C22×C61—22no—
790C22×C61—22no—
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—416no—
795C22×C61—416no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×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#52514yes—
816C22×C61#52914yescomplemented
817C22×C61C23×D411yescharacteristic
818C22×C61C22×#4111yescharacteristic
819C22×C61C22×#4111yescharacteristic
820C22×C61C22×#4111yescharacteristic
821C22×C61C22×#4111yescharacteristic
822C22×C61C2×H(5,𝔽2)11yescharacteristic
823C22×C61#58511yescharacteristic
824C4×C61—22no—
825C4×C61—22no—
826C4×C61—22no—
827C4×C61—22no—
828C4×C61—41no—
829C4×C61—41no—
830C4×C61—41no—
831C4×C61—41no—
832C4×C61—41no—
833Dic61—22no—
834Dic61—22no—
835Dic61—22no—
836Dic61—22no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61—41no—
843Dic61—41no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61#54614yes—
849C2×#529—611no—
850C22×C4×D4—611no—
851#2481—611no—
852#2480—611no—
853#2473—611no—
854#2472—611no—
855#2467—611no—
856#2466—611no—
857#2460—611no—
858#2459—611no—
859#2450—611no—
860#2444—611no—
861#2437—611no—
862#2425—611no—
863#2419—611no—
864#2412—611no—
865#2410D6111yescharacteristic
866#2405—611no—
867#2398—611no—
868#2395—611no—
869#2392—611no—
870#2392—611no—
871C4×C22⋊Q8—611no—
872C4×#123—611no—
873C4×#121—611no—
874C4×#120—611no—
875C4×#120—611no—
876#2290—611no—
877#2290—611no—
878#2280—611no—
879C2×C4×C22⋊C4—611no—
880C2×C61—24no—
881C2×C61—24no—
882C2×C61—42no—
883C2×C61—42no—
884C2×C61—42no—
885C2×C61—81no—
886C2×C61C2×#52511yescharacteristic
887C2×C61C2×#52911yescharacteristic
888C2×C61#345911yescharacteristic
889C2×C61C2×#54611yescharacteristic
890C2×C61D4×#4111yescharacteristic
891C2×C61#347511yescharacteristic
892C2×C61#348111yescharacteristic
893C23×D4C2×D6111yescharacteristic
894C24×C4—611no—
895C24×C4—611no—
896#529—1228no—
897C2×#126—611no—
898C2×#126—611no—
899C2×#125—611no—
900C2×#124—611no—
901C2×#123—611no—
902C2×#123—611no—
903C2×#123—611no—
904C2×C22⋊Q8—611no—
905C2×C22⋊Q8—611no—
906C2×#121C2×D6111yescharacteristic
907C2×#121C2×D6111yescharacteristic
908C2×#120C2×D6111yescharacteristic
909C2×#120C2×D6111yescharacteristic
910C2×C4×Q8—611no—
911C2×C4×D4—611no—
912C2×C4×D4—611no—
913C2×C4×D4—611no—
914C2×C4×D4—611no—
915C2×C4×D4—611no—
916C2×C4×D4—611no—
917C2×C4×D4—611no—
918C2×C4×D4—611no—
919C2×C4×D4—611no—
920C2×C4×D4—611no—
921C2×C4×D4—611no—
922C2×C4×D4—611no—
923C2×C4×D4—611no—
924C2×C4×D4—1228no—
925C2×#117—611no—
926C2×#117—611no—
927C2×#117—611no—
928C22×C4⋊C4—611no—
929C22×C22⋊C4—611no—
930C22×C22⋊C4—611no—
931C22×C22⋊C4—611no—
932C22×C22⋊C4C2×D6111yescharacteristic
933C22×C42—611no—
934C22×C42—611no—
935C22×C42—611no—
936#400—611no—
937#400—611no—
938#400—611no—
939#399—611no—
940#398—611no—
941#398—611no—
942#398—611no—
943#397—611no—
944#397—611no—
945#397—611no—
946#397—611no—
947#397—611no—
948#397—611no—
949#397—611no—
950#396—611no—
951#396—611no—
952#396—611no—
953#396—611no—
954#394—611no—
955#394—611no—
956#394—611no—
957#394—611no—
958#394—611no—
959#394—611no—
960#394—611no—
961#394—611no—
962#394C2×D6111yescharacteristic
963#394C2×D6111yescharacteristic
964#393—611no—
965#393—611no—
966#392C2×D6111yescharacteristic
967#392C2×D6111yescharacteristic
968#391—611no—
969#390—611no—
970#389—611no—
971#389—611no—
972#388—611no—
973#388—611no—
974#388—611no—
975#388—611no—
976#388—611no—
977#388—611no—
978#388—611no—
979#388—611no—
980#387—611no—
981#387—611no—
982#387—611no—
983#387—611no—
984#387—611no—
985#387—611no—
986#387—611no—
987#387—611no—
988#386—611no—
989#386—611no—
990#386—611no—
991#386—611no—
992#386—611no—
993#386—611no—
994#386—611no—
995#386—611no—
996#386—611no—
997#386—611no—
998#386C2×D6111yescharacteristic
999#386C2×D6111yescharacteristic
1000#386C2×D6111yescharacteristic
1001#385—611no—
1002#385—611no—
1003#385—611no—
1004#385—611no—
1005#385—611no—
1006#385—611no—
1007#385—611no—
1008#385—611no—
1009#385—611no—
1010#385—611no—
1011#385—611no—
1012#385—611no—
1013#385C2×D6111yescharacteristic
1014#381—611no—
1015#381—611no—
1016#381—611no—
1017#380—611no—
1018#380—611no—
1019#380—611no—
1020#380—611no—
1021#380—611no—
1022#380—611no—
1023#379—611no—
1024#379—611no—
1025#379—611no—
1026#379C2×D6111yescharacteristic
1027C4×C4⋊C4—611no—
1028C4×C4⋊C4—611no—
1029C4×C4⋊C4—611no—
1030C4×C4⋊C4—611no—
1031C4×C22⋊C4—611no—
1032C4×C22⋊C4—611no—
1033C4×C22⋊C4—611no—
1034C4×C22⋊C4—611no—
1035C4×C22⋊C4—611no—
1036C4×C22⋊C4—611no—
1037C4×C22⋊C4—611no—
1038C4×C22⋊C4—611no—
1039C4×C22⋊C4—611no—
1040C4×C22⋊C4—611no—
1041C4×C22⋊C4—611no—
1042C4×C22⋊C4—611no—
1043C4×C22⋊C4—611no—
1044C4×C22⋊C4—611no—
1045C4×C22⋊C4—611no—
1046C4×C22⋊C4—611no—
1047#376—611no—
1048C2×#95—611no—
1049C2×#95—611no—
1050C61#3467011yescharacteristic, complemented, Sylow
1051C25C22×D6111yescharacteristic
1052C25C22×D6111yescharacteristic
1053C22×Q8—611no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4C22×D6111yescharacteristic
1058C22×D4C22×D6111yescharacteristic
1059C22×D4C22×D6111yescharacteristic
1060C22×D4C22×D6111yescharacteristic
1061C22×D4C22×D6111yescharacteristic
1062C22×D4C22×D6111yescharacteristic
1063C22×D4C22×D6111yescharacteristic
1064C22×D4C22×D6111yescharacteristic
1065C22×D4C22×D6111yescharacteristic
1066C23×C4—611no—
1067C23×C4—611no—
1068C23×C4—611no—
1069C23×C4—611no—
1070C23×C4—611no—
1071C23×C4—611no—
1072C23×C4—611no—
1073C23×C4—611no—
1074C23×C4—611no—
1075C23×C4—611no—
1076C23×C4—611no—
1077C23×C4—611no—
1078C23×C4—611no—
1079C23×C4—611no—
1080C23×C4—611no—
1081C23×C4—1224no—
1082C23×C4—1224no—
1083C23×C4—1224no—
1084C23×C4—1224no—
1085C23×C4—2442no—
1086C23×C4—2442no—
1087C23×C4C22×D6111yescharacteristic
1088C23×C4C22×D6111yescharacteristic
1089C23×C4C22×D6111yescharacteristic
1090#126—1224no—
1091#126—1224no—
1092#125—1224no—
1093#124—1224no—
1094#123—1224no—
1095#123—1224no—
1096#123—1224no—
1097C22⋊Q8—1224no—
1098C22⋊Q8—1224no—
1099#121—24no—
1100#121—24no—
1101#120—24no—
1102#120—24no—
1103C4×Q8—1224no—
1104C4×D4—618no—
1105C4×D4—1224no—
1106C4×D4—1224no—
1107C4×D4—1224no—
1108C4×D4—1224no—
1109C4×D4—1224no—
1110C4×D4—1224no—
1111C4×D4—1224no—
1112C4×D4—1224no—
1113C4×D4—1224no—
1114C4×D4—1224no—
1115C4×D4—2442no—
1116C4×D4—2442no—
1117#117—1224no—
1118#117—1224no—
1119#117—2442no—
1120C2×C4⋊C4—611no—
1121C2×C4⋊C4—611no—
1122C2×C4⋊C4—611no—
1123C2×C4⋊C4—611no—
1124C2×C4⋊C4—611no—
1125C2×C4⋊C4—611no—
1126C2×C4⋊C4—611no—
1127C2×C4⋊C4—611no—
1128C2×C4⋊C4—611no—
1129C2×C4⋊C4—611no—
1130C2×C4⋊C4—611no—
1131C2×C4⋊C4—611no—
1132C2×C4⋊C4—611no—
1133C2×C4⋊C4—611no—
1134C2×C4⋊C4—611no—
1135C2×C4⋊C4—611no—
1136C2×C4⋊C4—611no—
1137C2×C4⋊C4—611no—
1138C2×C4⋊C4—611no—
1139C2×C4⋊C4—611no—
1140C2×C4⋊C4—611no—
1141C2×C4⋊C4—611no—
1142C2×C4⋊C4—611no—
1143C2×C4⋊C4—611no—
1144C2×C4⋊C4—1224no—
1145C2×C4⋊C4C22×D6111yescharacteristic
1146C2×C4⋊C4C22×D6111yescharacteristic
1147C2×C22⋊C4—24no—
1148C2×C22⋊C4—611no—
1149C2×C22⋊C4—611no—
1150C2×C22⋊C4—611no—
1151C2×C22⋊C4—611no—
1152C2×C22⋊C4—611no—
1153C2×C22⋊C4—611no—
1154C2×C22⋊C4—611no—
1155C2×C22⋊C4—611no—
1156C2×C22⋊C4—611no—
1157C2×C22⋊C4—611no—
1158C2×C22⋊C4—611no—
1159C2×C22⋊C4—611no—
1160C2×C22⋊C4—611no—
1161C2×C22⋊C4—611no—
1162C2×C22⋊C4—611no—
1163C2×C22⋊C4—611no—
1164C2×C22⋊C4—611no—
1165C2×C22⋊C4—611no—
1166C2×C22⋊C4—611no—
1167C2×C22⋊C4—611no—
1168C2×C22⋊C4—611no—
1169C2×C22⋊C4—611no—
1170C2×C22⋊C4—611no—
1171C2×C22⋊C4—611no—
1172C2×C22⋊C4—611no—
1173C2×C22⋊C4—611no—
1174C2×C22⋊C4—611no—
1175C2×C22⋊C4—611no—
1176C2×C22⋊C4—611no—
1177C2×C22⋊C4—611no—
1178C2×C22⋊C4—611no—
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—1224no—
1182C2×C22⋊C4—1224no—
1183C2×C22⋊C4—1224no—
1184C2×C22⋊C4C22×D6111yescharacteristic
1185C2×C22⋊C4C22×D6111yescharacteristic
1186C2×C22⋊C4C22×D6111yescharacteristic
1187C2×C22⋊C4C22×D6111yescharacteristic
1188C2×C22⋊C4C22×D6111yescharacteristic
1189C2×C22⋊C4C22×D6111yescharacteristic
1190C2×C22⋊C4C22×D6111yescharacteristic
1191C2×C22⋊C4C22×D6111yescharacteristic
1192C2×C22⋊C4C22×D6111yescharacteristic
1193C2×C22⋊C4C22×D6111yescharacteristic
1194C2×C22⋊C4C22×D6111yescharacteristic
1195C2×C22⋊C4C22×D6111yescharacteristic
1196C2×C22⋊C4C22×D6111yescharacteristic
1197C2×C22⋊C4C22×D6111yescharacteristic
1198C2×C22⋊C4C22×D6111yescharacteristic
1199C2×C42—611no—
1200C2×C42—611no—
1201C2×C42—611no—
1202C2×C42—611no—
1203C2×C42—611no—
1204C2×C42—611no—
1205C2×C42—611no—
1206C2×C42—611no—
1207C2×C42—611no—
1208C2×C42—611no—
1209C2×C42—611no—
1210C2×C42—611no—
1211C2×C42—611no—
1212C2×C42—611no—
1213C2×C42—611no—
1214C2×C42—1224no—
1215C2×C42—1224no—
1216C2×C42—2442no—
1217#95—611no—
1218#95—611no—
1219#95—611no—
1220#95—611no—
1221#95—611no—
1222#95—611no—
1223#95—611no—
1224#95—611no—
1225#95—611no—
1226#95—611no—
1227#95—611no—
1228#95—611no—
1229#95—611no—
1230#95—611no—
1231#95—611no—
1232#95—611no—
1233#95—611no—
1234#95—611no—
1235#95—611no—
1236#95—611no—
1237#95—611no—
1238#95—611no—
1239#95—611no—
1240#95—611no—
1241#95—611no—
1242#95—611no—
1243#95—611no—
1244#95—611no—
1245#95—611no—
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95C22×D6111yescharacteristic
1250#95C22×D6111yescharacteristic
1251#95C22×D6111yescharacteristic
1252#95C22×D6111yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24#1175822414yes—
1267C24C23×D6111yescharacteristic
1268C24C23×D6111yescharacteristic
1269C24C23×D6111yescharacteristic
1270C24C23×D6111yescharacteristic
1271C24C23×D6111yescharacteristic
1272C24C23×D6111yescharacteristic
1273C2×Q8—1222no—
1274C2×Q8—1222no—
1275C2×Q8—2441no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—22no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—22no—
1298C2×D4—41no—
1299C2×D4—41no—
1300C2×D4—41no—
1301C2×D4—41no—
1302C2×D4D4×D6114yes—
1303C2×D4#1175822414yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—611no—
1314C22×C4—614no—
1315C22×C4—614no—
1316C22×C4—614no—
1317C22×C4—611no—
1318C22×C4—611no—
1319C22×C4—611no—
1320C22×C4—611no—
1321C22×C4—611no—
1322C22×C4—611no—
1323C22×C4—611no—
1324C22×C4—611no—
1325C22×C4—611no—
1326C22×C4—611no—
1327C22×C4—611no—
1328C22×C4—611no—
1329C22×C4—611no—
1330C22×C4—611no—
1331C22×C4—611no—
1332C22×C4—1222no—
1333C22×C4—1222no—
1334C22×C4—1222no—
1335C22×C4—1222no—
1336C22×C4—1222no—
1337C22×C4—1222no—
1338C22×C4—1222no—
1339C22×C4—1222no—
1340C22×C4—1222no—
1341C22×C4—1222no—
1342C22×C4—1222no—
1343C22×C4—1222no—
1344C22×C4—1222no—
1345C22×C4—1222no—
1346C22×C4—1222no—
1347C22×C4—1222no—
1348C22×C4—1222no—
1349C22×C4—1222no—
1350C22×C4—1222no—
1351C22×C4—1222no—
1352C22×C4—1222no—
1353C22×C4—1222no—
1354C22×C4—1222no—
1355C22×C4—1222no—
1356C22×C4—1222no—
1357C22×C4—1222no—
1358C22×C4—1222no—
1359C22×C4—1222no—
1360C22×C4—1222no—
1361C22×C4—1222no—
1362C22×C4—1222no—
1363C22×C4—1222no—
1364C22×C4—1222no—
1365C22×C4—2441no—
1366C22×C4—2441no—
1367C22×C4—2441no—
1368C22×C4—2441no—
1369C22×C4—2441no—
1370C22×C4—2441no—
1371C22×C4—2441no—
1372C22×C4—2441no—
1373C22×C4—2441no—
1374C22×C4—24416no—
1375C22×C4—24416no—
1376C22×C4C23×D6111yescharacteristic
1377C22×C4C23×D6111yescharacteristic
1378C22×C4C23×D6111yescharacteristic
1379C22×C4C23×D6111yescharacteristic
1380C22×C4C23×D6111yescharacteristic
1381C22×C4C23×D6111yescharacteristic
1382C22×C4C23×D6111yescharacteristic
1383C22×C4C23×D6111yescharacteristic
1384C22×C4C23×D6111yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—614no—
1388C4⋊C4—1222no—
1389C4⋊C4—1222no—
1390C4⋊C4—1222no—
1391C4⋊C4—1222no—
1392C4⋊C4—1222no—
1393C4⋊C4—1222no—
1394C4⋊C4—1222no—
1395C4⋊C4—1222no—
1396C4⋊C4—1222no—
1397C4⋊C4—1222no—
1398C4⋊C4—1222no—
1399C4⋊C4—1222no—
1400C4⋊C4—1222no—
1401C4⋊C4—1222no—
1402C4⋊C4—1222no—
1403C4⋊C4—1222no—
1404C4⋊C4—1222no—
1405C4⋊C4—2441no—
1406C4⋊C4—2441no—
1407C4⋊C4—2441no—
1408C4⋊C4—2441no—
1409C4⋊C4—2441no—
1410C4⋊C4—2441no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—614no—
1426C22⋊C4—614no—
1427C22⋊C4—1222no—
1428C22⋊C4—1222no—
1429C22⋊C4—1222no—
1430C22⋊C4—1222no—
1431C22⋊C4—1222no—
1432C22⋊C4—1222no—
1433C22⋊C4—1222no—
1434C22⋊C4—1222no—
1435C22⋊C4—1222no—
1436C22⋊C4—1222no—
1437C22⋊C4—1222no—
1438C22⋊C4—1222no—
1439C22⋊C4—1222no—
1440C22⋊C4—1222no—
1441C22⋊C4—1222no—
1442C22⋊C4—1222no—
1443C22⋊C4—1222no—
1444C22⋊C4—1222no—
1445C22⋊C4—1222no—
1446C22⋊C4—1222no—
1447C22⋊C4—1222no—
1448C22⋊C4—1222no—
1449C22⋊C4—2441no—
1450C22⋊C4—2441no—
1451C22⋊C4—2441no—
1452C22⋊C4—2441no—
1453C22⋊C4—2441no—
1454C22⋊C4—2441no—
1455C22⋊C4—2441no—
1456C22⋊C4—2441no—
1457C22⋊C4—2441no—
1458C22⋊C4#1175822414yes—
1459C42—614no—
1460C42—1222no—
1461C42—1222no—
1462C42—1222no—
1463C42—1222no—
1464C42—1222no—
1465C42—1222no—
1466C42—1222no—
1467C42—1222no—
1468C42—1222no—
1469C42—1222no—
1470C42—1222no—
1471C42—1222no—
1472C42—2441no—
1473C42—2441no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—44no—
1515C23—44no—
1516C23—44no—
1517C23—44no—
1518C23—44no—
1519C23—44no—
1520C23—44no—
1521C23C2×D4×D6112yes—
1522C23C2×D4×D6112yes—
1523C23#41×D6112yes—
1524C23C2×#1175822412yes—
1525C23C2×#1175822412yes—
1526C23C2×#1175822412yes—
1527C23C2×#1175822412yes—
1528C23C2×#1175822412yes—
1529C23C2×#1175822412yes—
1530C23C24×D6111yescharacteristic
1531Q8—2444no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—44no—
1537D4—44no—
1538D4—44no—
1539D4—44no—
1540D4—44no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—44no—
1566C2×C4—44no—
1567C2×C4—612no—
1568C2×C4—612no—
1569C2×C4—612no—
1570C2×C4—612no—
1571C2×C4—612no—
1572C2×C4—612no—
1573C2×C4—612no—
1574C2×C4—1228no—
1575C2×C4—1228no—
1576C2×C4—1228no—
1577C2×C4—1221no—
1578C2×C4—1221no—
1579C2×C4—1221no—
1580C2×C4—1221no—
1581C2×C4—1221no—
1582C2×C4—1221no—
1583C2×C4—1221no—
1584C2×C4—1221no—
1585C2×C4—1221no—
1586C2×C4—1221no—
1587C2×C4—1221no—
1588C2×C4—1221no—
1589C2×C4—1221no—
1590C2×C4—1221no—
1591C2×C4—1221no—
1592C2×C4—1221no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—1221no—
1609C2×C4—1221no—
1610C2×C4—1221no—
1611C2×C4—1221no—
1612C2×C4—1221no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—2444no—
1619C2×C4—2444no—
1620C2×C4—2444no—
1621C2×C4—2444no—
1622C2×C4—2444no—
1623C2×C4—2444no—
1624C2×C4—2444no—
1625C2×C4—2444no—
1626C2×C4—2444no—
1627C2×C4—2444no—
1628C2×C4—2444no—
1629C2×C4—2444no—
1630C2×C4C2×D4×D6112yes—
1631C2×C4C2×#1175822412yes—
1632C2×C4C2×#1175822412yes—
1633C2×C4C2×#1175822412yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22#1684026814yes—
1677C22#1684029314yescomplemented
1678C22C22×D4×D6111yescharacteristic
1679C22C2×#41×D6111yescharacteristic
1680C22C22×#1175822411yescharacteristic
1681C22C22×#1175822411yescharacteristic
1682C22C22×#1175822411yescharacteristic
1683C22H(5,𝔽2)×D6111yescharacteristic
1684C22#1684059711yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—614no—
1695C4—1222no—
1696C4—1222no—
1697C4—1222no—
1698C4—1222no—
1699C4—2441no—
1700C4—2441no—
1701C4—2441no—
1702C4—2441no—
1703C4—2441no—
1704C4—2441no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—81no—
1716C2C2×#1684026811yescharacteristic
1717C2C2×#1684029311yescharacteristic
1718C2#2145922511yescharacteristic
1719C2#546×D6111yescharacteristic
1720C2D4×#1175822411yescharacteristic
1721C2#2145937011yescharacteristic
1722C2#2145942011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
Fitting, prime radicalC61×#2410C2
hypercenter#2410D61
hypocenterC61#34670
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#16840293C2semidirect
2. C22×D4×Dic61C2semidirect
3. #21450079C2semidirect
4. #21450064C2semidirect
5. #21449959C2semidirect
6. #21449944C2semidirect
7. #21449865C2semidirect
8. #21449850C2semidirect
9. #21449766C2semidirect
10. #21449751C2semidirect
11. #21449647C2semidirect
12. #21449565C2semidirect
13. #21449480C2semidirect
14. #21449376C2semidirect
15. #21449294C2semidirect
16. #21449216C2semidirect
17. #21449142C2semidirect
18. #21449107C2semidirect
19. #21449075C2semidirect
20. #21449054C2semidirect
21. #21449054C2semidirect
22. #21448351C2semidirect
23. #21448344C2semidirect
24. #121×Dic61C2semidirect
25. #120×Dic61C2semidirect
26. #120×Dic61C2semidirect
27. #21448259C2semidirect
28. #21448259C2semidirect
29. #21448197C2semidirect
30. C2×C22⋊C4×Dic61C2semidirect
35. C2×#14519770C22semidirect
36. C2×#14519770C22semidirect
37. C2×#14519768C22semidirect
38. C2×#14519764C22semidirect
41. C2×#14519758C22semidirect
42. C2×#14519756C22semidirect
44. C2×#14519742C22semidirect
55. C2×D4×Dic61C22semidirect
56. C2×D4×Dic61C22semidirect
57. C2×D4×Dic61C22semidirect
58. C2×D4×Dic61C22semidirect
59. C2×#14519733C22semidirect
60. C2×#14519733C22semidirect
61. C2×#14519733C22semidirect
67. C22×C4×Dic61C22semidirect
68. C22×C4×Dic61C22semidirect
69. #16839704C22semidirect
70. #16839702C22semidirect
71. #16839701C22semidirect
72. #16839698C22semidirect
73. #16839695C22semidirect
74. #16839694C22semidirect
75. #16839694C22semidirect
76. #16839690C22semidirect
77. #16839690C22semidirect
78. #16839690C22semidirect
79. #16839690C22semidirect
80. #16839687C22semidirect
81. #16839687C22semidirect
82. #16839687C22semidirect
83. #16839685C22semidirect
84. #16839685C22semidirect
85. #16839685C22semidirect
86. #16839685C22semidirect
91. #16839676C22semidirect
92. #16839676C22semidirect
93. #16839676C22semidirect
94. #16839676C22semidirect
95. #16839674C22semidirect
96. #16839674C22semidirect
97. #16839666C22semidirect
98. #16839665C22semidirect
99. #16839661C22semidirect
100. #16839657C22semidirect
101. #16839656C22semidirect
102. #16839656C22semidirect
103. #16839656C22semidirect
104. #16839656C22semidirect
105. #16839655C22semidirect
106. #16839655C22semidirect
107. #16839650C22semidirect
108. #16839650C22semidirect
109. #16839649C22semidirect
110. #16839649C22semidirect
111. #16839647C22semidirect
112. #16839647C22semidirect
113. #16839647C22semidirect
114. #16839645C22semidirect
115. #16839645C22semidirect
116. #16839643C22semidirect
122. #16839642C22semidirect
123. #16839642C22semidirect
124. #16839642C22semidirect
125. #16839642C22semidirect
126. #16839642C22semidirect
129. #16839637C22semidirect
130. #16839637C22semidirect
131. #16839637C22semidirect
132. #16839637C22semidirect
135. #16839635C22semidirect
136. #16839635C22semidirect
138. #16839634C22semidirect
139. #16839623C22semidirect
140. #16839623C22semidirect
141. #16839623C22semidirect
142. #16839622C22semidirect
146. #16839620C22semidirect
147. #16839620C22semidirect
151. C4⋊C4×Dic61C22semidirect
152. #16839613C22semidirect
153. #16839613C22semidirect
154. #16839613C22semidirect
160. C22⋊C4×Dic61C22semidirect
161. C22⋊C4×Dic61C22semidirect
162. C22⋊C4×Dic61C22semidirect
163. C22⋊C4×Dic61C22semidirect
164. C22⋊C4×Dic61C22semidirect
165. C22⋊C4×Dic61C22semidirect
166. C22⋊C4×Dic61C22semidirect
167. C22⋊C4×Dic61C22semidirect
168. C22⋊C4×Dic61C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C22⋊C4×Dic61C22semidirect
171. #16839607C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
233. D4×Dic61D4semidirect
816. C22×C61#529semidirect
1050. C61#34670semidirect
1677. C22#16840293semidirect

Maximal subgroups

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

subgroupindex
C2×#168402932
C22×D4×Dic612
#214500792
#214500642
#214499592
#214499442
#214498652
#214498502
#214497662
#214497512
#214496472
#214495652
#214494802
#214493762
#214492942
#214492162
#214491422
#214491072
#214490752
#214490542
#214483512
#214483442
#121×Dic612
#120×Dic612
#214482592
#214481972
C2×C22⋊C4×Dic612
C61×#24102
#3467061