Finite Group Databasebeta

← #29852757

Subgroups — #29852757

Order 15616.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454133C211yesmaximal, characteristic, complemented
2#21454133C211yesmaximal, characteristic, complemented
3#21454133C211yesmaximal, characteristic, complemented
4#21454131C211yesmaximal, characteristic, complemented
5#21451776C211yesmaximal, characteristic, complemented
6#21451771C211yesmaximal, characteristic, complemented
7#21451771C211yesmaximal, characteristic, complemented
8#21451771C211yesmaximal, characteristic, complemented
9#21450384C211yesmaximal, characteristic, complemented
10#21450382C211yesmaximal, characteristic, complemented
11#21450378C211yesmaximal, characteristic, complemented
12#21450372C211yesmaximal, characteristic, complemented
13#21450210C211yesmaximal, characteristic, complemented
14#21450206C211yesmaximal, characteristic, complemented
15#21450202C211yesmaximal, characteristic, complemented
16#21450198C211yesmaximal, characteristic, complemented
17#21450086C211yesmaximal, characteristic, complemented
18#21450081C211yesmaximal, characteristic, complemented
19#21450076C211yesmaximal, characteristic, complemented
20#21450075C211yesmaximal, characteristic, complemented
21#21450064C211yesmaximal, characteristic, complemented
22#21450062C211yesmaximal, characteristic, complemented
23#21450059C211yesmaximal, characteristic, complemented
24#21448432C211yesmaximal, characteristic, complemented
25#21448430C211yesmaximal, characteristic, complemented
26#21448395C211yesmaximal, characteristic
27#21448395C211yesmaximal, characteristic
28C2×#16839638C211yesmaximal, characteristic
29#385×D61C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D61C211yesmaximal, characteristic, complemented
31C61×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic
34C2×#14519770C2211yescharacteristic, complemented
35C2×#14519770C2211yescharacteristic, complemented
36C2×#14519770C2211yescharacteristic, complemented
37C2×C4⋊C4×D61C2211yescharacteristic, complemented
38C2×C4⋊C4×D61C2211yescharacteristic, complemented
39C22×C22⋊Dic61C2211yescharacteristic
40C22×#11758198C2211yescharacteristic
41C2×C22⋊C4×D61C2211yescharacteristic
42C2×C22⋊C4×D61C2211yescharacteristic
43C2×C22⋊C4×D61C2211yescharacteristic
44C2×C22⋊C4×D61C2211yescharacteristic
45C2×C42×D61C2211yescharacteristic, complemented
46C2×C42×D61C2211yescharacteristic, complemented
47C61⋊#401C2211yescharacteristic, complemented
48C61⋊#401C2211yescharacteristic, complemented
49C61⋊#401C2211yescharacteristic, complemented
50C61⋊#401C2211yescharacteristic, complemented
51#16839704C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839704C2211yescharacteristic, complemented
54#16839703C2211yescharacteristic, complemented
55#16839703C2211yescharacteristic, complemented
56#16839703C2211yescharacteristic, complemented
57#16839701C2211yescharacteristic, complemented
58#16839701C2211yescharacteristic, complemented
59#16839701C2211yescharacteristic, complemented
60#16839700C2211yescharacteristic, complemented
61#16839700C2211yescharacteristic, complemented
62#16839700C2211yescharacteristic, complemented
63#16839690C2211yescharacteristic, complemented
64#16839690C2211yescharacteristic, complemented
65#16839690C2211yescharacteristic, complemented
66#16839690C2211yescharacteristic, complemented
67#16839690C2211yescharacteristic, complemented
68#16839690C2211yescharacteristic, complemented
69#16839687C2211yescharacteristic, complemented
70#16839687C2211yescharacteristic, complemented
71#16839687C2211yescharacteristic, complemented
72#16839685C2211yescharacteristic, complemented
73#16839685C2211yescharacteristic, complemented
74#16839685C2211yescharacteristic, complemented
75#16839656C2211yescharacteristic, complemented
76#16839656C2211yescharacteristic, complemented
77#16839656C2211yescharacteristic, complemented
78#16839655C2211yescharacteristic, complemented
79#16839655C2211yescharacteristic, complemented
80#16839655C2211yescharacteristic, complemented
81#16839650C2211yescharacteristic, complemented
82#16839650C2211yescharacteristic, complemented
83#16839650C2211yescharacteristic, complemented
84#16839648C2211yescharacteristic, complemented
85#16839648C2211yescharacteristic, complemented
86#16839648C2211yescharacteristic, complemented
87#16839646C2211yescharacteristic, complemented
88#16839646C2211yescharacteristic, complemented
89#16839646C2211yescharacteristic, complemented
90#16839645C2211yescharacteristic, complemented
91#16839645C2211yescharacteristic, complemented
92#16839645C2211yescharacteristic, complemented
93#16839643C2211yescharacteristic, complemented
94#16839643C2211yescharacteristic, complemented
95#16839643C2211yescharacteristic, complemented
96#16839638C2211yescharacteristic
97#16839638C2211yescharacteristic
98#16839638C2211yescharacteristic
99#16839638C2211yescharacteristic
100#16839638C2211yescharacteristic
101#16839638C2211yescharacteristic
102#16839638C2211yescharacteristic
103#16839638C2211yescharacteristic
104#16839638C2211yescharacteristic
105#16839638C2211yescharacteristic
106#16839638C2211yescharacteristic
107#16839638C2211yescharacteristic
108#16839638C2211yescharacteristic
109#16839638C2211yescharacteristic
110#16839638C2211yescharacteristic
111#16839638C2211yescharacteristic
112#16839638C2211yescharacteristic
113#16839638C2211yescharacteristic
114#16839638C2211yescharacteristic
115#16839638C2211yescharacteristic
116#16839638C2211yescharacteristic
117#16839638C2211yescharacteristic
118#16839638C2211yescharacteristic
119#16839638C2211yescharacteristic
120#16839637C2211yescharacteristic
121#16839637C2211yescharacteristic
122#16839636C2211yescharacteristic, complemented
123#16839636C2211yescharacteristic, complemented
124#16839636C2211yescharacteristic, complemented
125#16839636C2211yescharacteristic, complemented
126#16839636C2211yescharacteristic, complemented
127#16839636C2211yescharacteristic, complemented
128#16839636C2211yescharacteristic, complemented
129#16839636C2211yescharacteristic, complemented
130#16839635C2211yescharacteristic
131#16839635C2211yescharacteristic
132#16839634C2211yescharacteristic
133#16839634C2211yescharacteristic
134#16839633C2211yescharacteristic, complemented
135#16839633C2211yescharacteristic, complemented
136#16839633C2211yescharacteristic, complemented
137#16839633C2211yescharacteristic, complemented
138#16839633C2211yescharacteristic, complemented
139#16839633C2211yescharacteristic, complemented
140#16839633C2211yescharacteristic, complemented
141#16839633C2211yescharacteristic, complemented
142#16839630C2211yescharacteristic, complemented
143#16839629C2211yescharacteristic, complemented
144#16839629C2211yescharacteristic, complemented
145#16839629C2211yescharacteristic, complemented
146#16839623C2211yescharacteristic
147#16839623C2211yescharacteristic
148#16839623C2211yescharacteristic
149#16839623C2211yescharacteristic
150#16839622C2211yescharacteristic
151#16839621C2211yescharacteristic, complemented
152#16839621C2211yescharacteristic, complemented
153#16839620C2211yescharacteristic
154#16839620C2211yescharacteristic
155#16839619C2211yescharacteristic, complemented
156#16839619C2211yescharacteristic, complemented
157#16839618C2211yescharacteristic
158#16839618C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C4×#11758198C2211yescharacteristic, complemented
162C4×#11758198C2211yescharacteristic, complemented
163C4×C22⋊Dic61C2211yescharacteristic
164#16839609C2211yescharacteristic, complemented
165#16839609C2211yescharacteristic, complemented
166C2×#14519684C2211yescharacteristic
167C2×#14519684C2211yescharacteristic
168#95×D61C2211yescharacteristic, complemented
169#95×D61C2211yescharacteristic, complemented
170#95×D61C2211yescharacteristic, complemented
171#95×D61C2211yescharacteristic, complemented
172C2×#126×C61C2211yescharacteristic, complemented
173C22×C22⋊C4×C61C2211yescharacteristic
174C61×#397C2211yescharacteristic, complemented
175C61×#397C2211yescharacteristic, complemented
176C61×#397C2211yescharacteristic, complemented
177C61×#396C2211yescharacteristic, complemented
178C61×#388C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#385C2211yescharacteristic
182C61×#385C2211yescharacteristic
183C61×#380C2211yescharacteristic
184C61×#379C2211yescharacteristic
185C61×#379C2211yescharacteristic
186C4×C22⋊C4×C61C2211yescharacteristic
187C24×D61C2311yescharacteristic
188C22×C22⋊D61—24no—
189C22×C22⋊D61—24no—
190C22×C22⋊D61—24no—
191C22×C22⋊D61C2311yescharacteristic
192C22×C22⋊D61C2311yescharacteristic
193C22×C22⋊D61C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198C22×C4×D61—24no—
199C22×C4×D61—42no—
200C22×C4×D61—42no—
201C22×C4×D61C2311yescharacteristic
202C22×C4×D61C2311yescharacteristic
203C22×C4×D61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208C22×C4×D61C2311yescharacteristic
209C22×C4×D61C2311yescharacteristic
210C22×C4×D61C2311yescharacteristic
211C22×C4×D61C2311yescharacteristic
212C22×C4×D61C2311yescharacteristic
213#14519770—42no—
214#14519770—42no—
215#14519770—42no—
216C2×C4⋊Dic61C2311yescharacteristic
217C2×C4⋊Dic61C2311yescharacteristic
218C2×C4⋊Dic61C2311yescharacteristic
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×#11758196C2311yescharacteristic
223C2×#11758196C2311yescharacteristic
224C2×#11758196C2311yescharacteristic
225C2×#11758196C2311yescharacteristic
226C2×#11758196C2311yescharacteristic
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C4⋊C4×D61—42no—
235C4⋊C4×D61—42no—
236C2×C22⋊Dic61—42no—
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×#11758198—24no—
254C2×#11758198C2311yescharacteristic
255C2×#11758198C2311yescharacteristic
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C22⋊C4×D61—24no—
267C22⋊C4×D61—24no—
268C22⋊C4×D61—24no—
269C22⋊C4×D61—24no—
270C2×C4×Dic61C2311yescharacteristic
271C2×C4×Dic61C2311yescharacteristic
272C2×C4×Dic61C2311yescharacteristic
273C2×C4×Dic61C2311yescharacteristic
274C2×C4×Dic61C2311yescharacteristic
275C2×C4×Dic61C2311yescharacteristic
276C42×D61—42no—
277C42×D61—42no—
278#14519684C2311yescharacteristic
279#14519684C2311yescharacteristic
280#14519684C2311yescharacteristic
281#14519684C2311yescharacteristic
282#14519684C2311yescharacteristic
283#14519684C2311yescharacteristic
284#14519684C2311yescharacteristic
285#14519684C2311yescharacteristic
286#14519684C2311yescharacteristic
287#14519684C2311yescharacteristic
288#14519684C2311yescharacteristic
289#14519684C2311yescharacteristic
290#14519684C2311yescharacteristic
291#14519684C2311yescharacteristic
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326C25×C61C2311yescharacteristic
327C23×C4×C61C2311yescharacteristic
328C23×C4×C61C2311yescharacteristic
329#126×C61—42no—
330C2×C4⋊C4×C61C2311yescharacteristic
331C2×C4⋊C4×C61C2311yescharacteristic
332C2×C4⋊C4×C61C2311yescharacteristic
333C2×C4⋊C4×C61C2311yescharacteristic
334C2×C4⋊C4×C61C2311yescharacteristic
335C2×C4⋊C4×C61C2311yescharacteristic
336C2×C22⋊C4×C61—42no—
337C2×C22⋊C4×C61C2311yescharacteristic
338C2×C22⋊C4×C61C2311yescharacteristic
339C2×C22⋊C4×C61C2311yescharacteristic
340C2×C22⋊C4×C61C2311yescharacteristic
341C2×C22⋊C4×C61C2311yescharacteristic
342C2×C22⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351C2×C22⋊C4×C61C2311yescharacteristic
352C2×C22⋊C4×C61C2311yescharacteristic
353C2×C42×C61C2311yescharacteristic
354C2×C42×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61—22no—
364C24×C61—22no—
365C24×C61—22no—
366C24×C61—41no—
367C24×C61—41no—
368C24×C61—41no—
369C24×C61—41no—
370C24×C61C2411yescharacteristic
371C24×C61C2411yescharacteristic
372C24×C61C2411yescharacteristic
373C23×D61—41no—
374C23×D61—41no—
375C23×D61—41no—
376C23×D61—41no—
377C23×D61#4114yes—
378C23×D61#4114yes—
379C23×D61#4114yes—
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C22×C4×C61—22no—
383C22×C4×C61—22no—
384C22×C4×C61—22no—
385C22×C4×C61—41no—
386C22×C4×C61—41no—
387C22×C4×C61—41no—
388C22×C4×C61C2411yescharacteristic
389C22×C4×C61C2411yescharacteristic
390C22×C4×C61C2411yescharacteristic
391C22×C4×C61C2411yescharacteristic
392C22×C4×C61C2411yescharacteristic
393C22×C4×C61C2411yescharacteristic
394C22×C4×C61C2411yescharacteristic
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C2×C22⋊D61—22no—
401C2×C22⋊D61—22no—
402C2×C22⋊D61—22no—
403C2×C22⋊D61—22no—
404C2×C22⋊D61—22no—
405C2×C22⋊D61—22no—
406C2×C22⋊D61—22no—
407C2×C22⋊D61—22no—
408C2×C22⋊D61—22no—
409C2×C22⋊D61—22no—
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—416no—
413C22×Dic61—22no—
414C22×Dic61—22no—
415C22×Dic61—22no—
416C22×Dic61—22no—
417C22×Dic61—22no—
418C22×Dic61—22no—
419C22×Dic61—41no—
420C22×Dic61—41no—
421C22×Dic61—41no—
422C22×Dic61C2411yescharacteristic
423C22×Dic61C2411yescharacteristic
424C22×Dic61C2411yescharacteristic
425C22×Dic61C2411yescharacteristic
426C22×Dic61C2411yescharacteristic
427C22×Dic61C2411yescharacteristic
428C22×Dic61C2411yescharacteristic
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C2×C4×D61—22no—
437C2×C4×D61—22no—
438C2×C4×D61—22no—
439C2×C4×D61—22no—
440C2×C4×D61—22no—
441C2×C4×D61—22no—
442C2×C4×D61—22no—
443C2×C4×D61—22no—
444C2×C4×D61—22no—
445C2×C4×D61—22no—
446C2×C4×D61—22no—
447C2×C4×D61—22no—
448C2×C4×D61—22no—
449C2×C4×D61—22no—
450C2×C4×D61—22no—
451C2×C4×D61—22no—
452C2×C4×D61—416no—
453C2×C4×D61—41no—
454C2×C4×D61—41no—
455C2×C4×D61—41no—
456C2×C4×D61—41no—
457C2×C4×D61—41no—
458C2×C4×D61—41no—
459C2×C4×D61—41no—
460C2×C4×D61—41no—
461C2×C4×D61—41no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×C4×D61—41no—
467C2×C4×D61—41no—
468C2×C4×D61—41no—
469C2×C4×D61—41no—
470C2×C4×D61—41no—
471C2×C4×D61—41no—
472C2×C4×D61—41no—
473C4⋊C4×C61—22no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C4⋊C4×C61—41no—
478C4⋊C4×C61—41no—
479C22⋊C4×C61—22no—
480C22⋊C4×C61—22no—
481C22⋊C4×C61—22no—
482C22⋊C4×C61—22no—
483C22⋊C4×C61—22no—
484C22⋊C4×C61—22no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61—41no—
487C22⋊C4×C61—41no—
488C22⋊C4×C61—41no—
489C22⋊C4×C61—41no—
490C22⋊C4×C61—41no—
491C22⋊C4×C61—41no—
492C22⋊C4×C61—41no—
493C22⋊C4×C61—41no—
494C22⋊C4×C61—41no—
495C42×C61—22no—
496C42×C61—41no—
497C22⋊Dic61—22no—
498C22⋊Dic61—22no—
499C22⋊Dic61—22no—
500C22⋊Dic61—22no—
501C22⋊Dic61—22no—
502C22⋊Dic61—22no—
503C22⋊Dic61—41no—
504C22⋊Dic61—41no—
505C22⋊Dic61—41no—
506C22⋊Dic61—41no—
507C22⋊Dic61—41no—
508C22⋊Dic61—41no—
509C22⋊Dic61—41no—
510C22⋊Dic61—41no—
511C22⋊Dic61—41no—
512C22⋊Dic61—41no—
513#11758198—22no—
514#11758198—22no—
515#11758198—22no—
516#11758198—22no—
517#11758198—22no—
518#11758198—22no—
519#11758198—22no—
520#11758198—22no—
521#11758198—22no—
522#11758198—22no—
523#11758198—22no—
524#11758198—22no—
525C4⋊Dic61—22no—
526C4⋊Dic61—41no—
527C4⋊Dic61—41no—
528C4⋊Dic61—41no—
529C4⋊Dic61—41no—
530C4⋊Dic61—41no—
531#11758196—22no—
532#11758196—22no—
533#11758196—41no—
534#11758196—41no—
535#11758196—41no—
536#11758196—41no—
537#11758196—41no—
538#11758196—41no—
539#11758196—41no—
540#11758196—41no—
541#11758196—41no—
542#11758196—41no—
543C4×Dic61—22no—
544C4×Dic61—22no—
545C4×Dic61—22no—
546C4×Dic61—41no—
547C4×Dic61—41no—
548C4×Dic61—41no—
549C23×C61—21no—
550C23×C61—21no—
551C23×C61—21no—
552C23×C61—21no—
553C23×C61—21no—
554C23×C61—21no—
555C23×C61—21no—
556C23×C61—21no—
557C23×C61—21no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—44no—
568C23×C61—44no—
569C23×C61—44no—
570C23×C61—82no—
571C23×C61—82no—
572C23×C61—82no—
573C23×C61—82no—
574C23×C61C2×#4112yes—
575C23×C61C2×#4112yes—
576C23×C61C2×#4112yes—
577C23×C61C2511yescharacteristic
578C22×D61—21no—
579C22×D61—21no—
580C22×D61—21no—
581C22×D61—21no—
582C22×D61—21no—
583C22×D61—21no—
584C22×D61—21no—
585C22×D61—21no—
586C22×D61—44no—
587C22×D61—44no—
588C22×D61—44no—
589C22×D61—44no—
590C22×D61—44no—
591C22×D61—44no—
592C22×D61#126116yescomplemented
593C22×D61C2×#4112yes—
594C22×D61C2×#4112yes—
595C22×D61C2×#4112yes—
596C22×D61C2×#4112yes—
597C22×D61C2×#4112yes—
598C22×D61C2×#4112yes—
599C2×C4×C61—21no—
600C2×C4×C61—21no—
601C2×C4×C61—21no—
602C2×C4×C61—21no—
603C2×C4×C61—21no—
604C2×C4×C61—21no—
605C2×C4×C61—21no—
606C2×C4×C61—21no—
607C2×C4×C61—21no—
608C2×C4×C61—21no—
609C2×C4×C61—21no—
610C2×C4×C61—21no—
611C2×C4×C61—21no—
612C2×C4×C61—21no—
613C2×C4×C61—21no—
614C2×C4×C61—21no—
615C2×C4×C61—21no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—44no—
635C2×C4×C61—82no—
636C2×C4×C61H(5,𝔽2)12yes—
637C22⋊D61—44no—
638C22⋊D61—44no—
639C22⋊D61—44no—
640C22⋊D61—44no—
641C2×Dic61—21no—
642C2×Dic61—21no—
643C2×Dic61—21no—
644C2×Dic61—21no—
645C2×Dic61—21no—
646C2×Dic61—21no—
647C2×Dic61—21no—
648C2×Dic61—21no—
649C2×Dic61—21no—
650C2×Dic61—21no—
651C2×Dic61—21no—
652C2×Dic61—21no—
653C2×Dic61—21no—
654C2×Dic61—21no—
655C2×Dic61—21no—
656C2×Dic61—21no—
657C2×Dic61—21no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—44no—
683C2×Dic61—44no—
684C2×Dic61—82no—
685C2×Dic61H(5,𝔽2)12yes—
686C4×D61—28no—
687C4×D61—44no—
688C4×D61—44no—
689C4×D61—44no—
690C4×D61—44no—
691C4×D61—44no—
692C4×D61—44no—
693C4×D61—44no—
694C4×D61—44no—
695C4×D61—44no—
696C4×D61—82no—
697C4×D61—82no—
698#34995—611nomaximal, Sylow
699C22×C61—22no—
700C22×C61—22no—
701C22×C61—22no—
702C22×C61—22no—
703C22×C61—22no—
704C22×C61—22no—
705C22×C61—41no—
706C22×C61—41no—
707C22×C61—41no—
708C22×C61—41no—
709C22×C61—41no—
710C22×C61—41no—
711C22×C61—41no—
712C22×C61—41no—
713C22×C61—41no—
714C22×C61—41no—
715C22×C61—41no—
716C22×C61—41no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—88no—
720C22×C61C2×#12614yes—
721C22×C61C22×#4111yescharacteristic
722C22×C61C22×#4111yescharacteristic
723C22×C61C22×#4111yescharacteristic
724C22×C61C2×H(5,𝔽2)11yescharacteristic
725C22×C61C2×H(5,𝔽2)11yescharacteristic
726C22×C61#58511yescharacteristic
727C22×C61#58511yescharacteristic
728C2×D61—22no—
729C2×D61—22no—
730C2×D61—22no—
731C2×D61—22no—
732C2×D61—22no—
733C2×D61—22no—
734C2×D61—22no—
735C2×D61—22no—
736C2×D61—22no—
737C2×D61—22no—
738C2×D61—22no—
739C2×D61—22no—
740C2×D61—416no—
741C2×D61C2×#12614yes—
742C2×D61C2×#12614yes—
743C4×C61—22no—
744C4×C61—41no—
745C4×C61—41no—
746C4×C61—41no—
747C4×C61—41no—
748C4×C61—41no—
749C4×C61—41no—
750C4×C61—41no—
751C4×C61—41no—
752C4×C61—41no—
753C4×C61—41no—
754C4×C61—41no—
755Dic61—22no—
756Dic61—41no—
757Dic61—41no—
758Dic61—41no—
759Dic61—41no—
760Dic61—41no—
761Dic61—41no—
762Dic61—41no—
763Dic61—41no—
764Dic61—41no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769#2852—611no—
770#2852—611no—
771#2852—611no—
772#2852—611no—
773#2643—611no—
774#2643—611no—
775#2643—611no—
776#2643—611no—
777#2510—611no—
778#2510—611no—
779#2510—611no—
780#2510—611no—
781#2493—611no—
782#2493—611no—
783#2493—611no—
784#2493—611no—
785#2481—611no—
786#2481—611no—
787#2481—611no—
788#2481—611no—
789#2480—611no—
790#2480—611no—
791#2480—611no—
792#2480D6111yescharacteristic, complemented
793#2315—611no—
794#2315—611no—
795#2308—611no—
796#2308—611no—
797C2×#386—611no—
798C2×#385—611no—
799C2×C4×C22⋊C4—611no—
800C2×C61—24no—
801C2×C61—81no—
802C2×C61—81no—
803C2×C61C22×#12611yescharacteristic
804C2×C61#345911yescharacteristic
805C2×C61#345911yescharacteristic
806C2×C61#349011yescharacteristic
807C2×C61#349111yescharacteristic
808C2×C61#350511yescharacteristic
809C2×C61#350511yescharacteristic
810D61—24no—
811D61—24no—
812C23×D4—611no—
813C24×C4—611no—
814C2×#126—611no—
815C2×#126—611no—
816C2×#126—611no—
817C2×#126C2×D6111yescharacteristic, complemented
818C22×C4⋊C4—611no—
819C22×C4⋊C4—611no—
820C22×C22⋊C4—611no—
821C22×C22⋊C4—611no—
822C22×C22⋊C4—611no—
823C22×C22⋊C4—611no—
824C22×C22⋊C4—611no—
825C22×C22⋊C4—611no—
826C22×C22⋊C4C2×D6111yescharacteristic
827C22×C42—611no—
828C22×C42—611no—
829#401—611no—
830#401—611no—
831#401—611no—
832#401—611no—
833#400—611no—
834#400—611no—
835#400—611no—
836#400—611no—
837#400—611no—
838#400—611no—
839#400—611no—
840#400—611no—
841#400—611no—
842#400—611no—
843#400—611no—
844#400—611no—
845#397—611no—
846#397—611no—
847#397—611no—
848#397—611no—
849#397—611no—
850#397—611no—
851#397—611no—
852#397—611no—
853#397—611no—
854#397C2×D6111yescharacteristic, complemented
855#397C2×D6111yescharacteristic, complemented
856#397C2×D6111yescharacteristic, complemented
857#396—611no—
858#396—611no—
859#396—611no—
860#396C2×D6111yescharacteristic, complemented
861#388—611no—
862#388—611no—
863#388—611no—
864#388—611no—
865#388—611no—
866#388—611no—
867#388—611no—
868#388—611no—
869#388—611no—
870#388C2×D6111yescharacteristic, complemented
871#388C2×D6111yescharacteristic, complemented
872#388C2×D6111yescharacteristic, complemented
873#387—611no—
874#387—611no—
875#387—611no—
876#387—611no—
877#387—611no—
878#387—611no—
879#387—611no—
880#387—611no—
881#387—611no—
882#387—611no—
883#387—611no—
884#387—611no—
885#386—611no—
886#386—611no—
887#386—611no—
888#386—611no—
889#386—611no—
890#386—611no—
891#386—611no—
892#386—611no—
893#386—611no—
894#386—611no—
895#386—611no—
896#386—611no—
897#386—611no—
898#386—611no—
899#386—611no—
900#386—611no—
901#386—611no—
902#386—611no—
903#386—611no—
904#386—611no—
905#386—611no—
906#386—611no—
907#386—611no—
908#386—611no—
909#385—611no—
910#385—611no—
911#385—611no—
912#385—611no—
913#385—611no—
914#385—611no—
915#385—611no—
916#385—611no—
917#385—611no—
918#385—611no—
919#385—611no—
920#385—611no—
921#385—611no—
922#385—611no—
923#385—611no—
924#385—611no—
925#385—611no—
926#385—611no—
927#385—611no—
928#385—611no—
929#385—611no—
930#385—611no—
931#385C2×D6111yescharacteristic
932#385C2×D6111yescharacteristic
933#383—611no—
934#383—611no—
935#383—611no—
936#383—611no—
937#381—611no—
938#381—611no—
939#381—611no—
940#381—611no—
941#380—611no—
942#380—611no—
943#380—611no—
944#380—611no—
945#380—611no—
946#380—611no—
947#380—611no—
948#380C2×D6111yescharacteristic
949#379—611no—
950#379—611no—
951#379C2×D6111yescharacteristic
952#379C2×D6111yescharacteristic
953C4×C22⋊C4—611no—
954C4×C22⋊C4—611no—
955C4×C22⋊C4—611no—
956C4×C22⋊C4—611no—
957C4×C22⋊C4—611no—
958C4×C22⋊C4—611no—
959C4×C22⋊C4—611no—
960C4×C22⋊C4C2×D6111yescharacteristic
961C2×#95—611no—
962C2×#95—611no—
963C2×#95—611no—
964C2×#95—611no—
965C2×#95—611no—
966C2×#95—611no—
967C61#3499511yescharacteristic, complemented, Sylow
968C25—611no—
969C25C22×D6111yescharacteristic
970C22×D4—611no—
971C22×D4—611no—
972C22×D4—611no—
973C22×D4—611no—
974C22×D4—1224no—
975C22×D4—1224no—
976C22×D4—1224no—
977C23×C4—611no—
978C23×C4—611no—
979C23×C4—611no—
980C23×C4—611no—
981C23×C4—611no—
982C23×C4—611no—
983C23×C4—611no—
984C23×C4—611no—
985C23×C4—611no—
986C23×C4—611no—
987C23×C4—611no—
988C23×C4—611no—
989C23×C4—611no—
990C23×C4—611no—
991C23×C4—611no—
992C23×C4—1224no—
993C23×C4—2442no—
994C23×C4—2442no—
995C23×C4C22×D6111yescharacteristic
996C23×C4C22×D6111yescharacteristic
997#126—42no—
998#126—2442no—
999#126—2442no—
1000#126—2442no—
1001C2×C4⋊C4—611no—
1002C2×C4⋊C4—611no—
1003C2×C4⋊C4—611no—
1004C2×C4⋊C4—611no—
1005C2×C4⋊C4—611no—
1006C2×C4⋊C4—611no—
1007C2×C4⋊C4—611no—
1008C2×C4⋊C4—611no—
1009C2×C4⋊C4—611no—
1010C2×C4⋊C4—611no—
1011C2×C4⋊C4—611no—
1012C2×C4⋊C4—611no—
1013C2×C4⋊C4—611no—
1014C2×C4⋊C4—611no—
1015C2×C4⋊C4—611no—
1016C2×C4⋊C4—611no—
1017C2×C4⋊C4—611no—
1018C2×C4⋊C4—611no—
1019C2×C4⋊C4—2442no—
1020C2×C4⋊C4—2442no—
1021C2×C4⋊C4C22×D6111yescharacteristic
1022C2×C4⋊C4C22×D6111yescharacteristic
1023C2×C4⋊C4C22×D6111yescharacteristic
1024C2×C4⋊C4C22×D6111yescharacteristic
1025C2×C4⋊C4C22×D6111yescharacteristic
1026C2×C4⋊C4C22×D6111yescharacteristic
1027C2×C22⋊C4—42no—
1028C2×C22⋊C4—611no—
1029C2×C22⋊C4—611no—
1030C2×C22⋊C4—611no—
1031C2×C22⋊C4—611no—
1032C2×C22⋊C4—611no—
1033C2×C22⋊C4—611no—
1034C2×C22⋊C4—611no—
1035C2×C22⋊C4—611no—
1036C2×C22⋊C4—611no—
1037C2×C22⋊C4—611no—
1038C2×C22⋊C4—611no—
1039C2×C22⋊C4—611no—
1040C2×C22⋊C4—611no—
1041C2×C22⋊C4—611no—
1042C2×C22⋊C4—611no—
1043C2×C22⋊C4—611no—
1044C2×C22⋊C4—611no—
1045C2×C22⋊C4—611no—
1046C2×C22⋊C4—611no—
1047C2×C22⋊C4—611no—
1048C2×C22⋊C4—611no—
1049C2×C22⋊C4—611no—
1050C2×C22⋊C4—611no—
1051C2×C22⋊C4—611no—
1052C2×C22⋊C4—611no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—1224no—
1057C2×C22⋊C4—1224no—
1058C2×C22⋊C4—1224no—
1059C2×C22⋊C4—1224no—
1060C2×C22⋊C4—1224no—
1061C2×C22⋊C4—2442no—
1062C2×C22⋊C4C22×D6111yescharacteristic
1063C2×C22⋊C4C22×D6111yescharacteristic
1064C2×C22⋊C4C22×D6111yescharacteristic
1065C2×C22⋊C4C22×D6111yescharacteristic
1066C2×C22⋊C4C22×D6111yescharacteristic
1067C2×C22⋊C4C22×D6111yescharacteristic
1068C2×C22⋊C4C22×D6111yescharacteristic
1069C2×C22⋊C4C22×D6111yescharacteristic
1070C2×C22⋊C4C22×D6111yescharacteristic
1071C2×C22⋊C4C22×D6111yescharacteristic
1072C2×C22⋊C4C22×D6111yescharacteristic
1073C2×C22⋊C4C22×D6111yescharacteristic
1074C2×C22⋊C4C22×D6111yescharacteristic
1075C2×C22⋊C4C22×D6111yescharacteristic
1076C2×C22⋊C4C22×D6111yescharacteristic
1077C2×C22⋊C4C22×D6111yescharacteristic
1078C2×C42—611no—
1079C2×C42—611no—
1080C2×C42—611no—
1081C2×C42—611no—
1082C2×C42—611no—
1083C2×C42—611no—
1084C2×C42—2442no—
1085C2×C42—2442no—
1086C2×C42C22×D6111yescharacteristic
1087C2×C42C22×D6111yescharacteristic
1088#95—611no—
1089#95—611no—
1090#95—611no—
1091#95—611no—
1092#95—611no—
1093#95—611no—
1094#95—611no—
1095#95—611no—
1096#95—611no—
1097#95—611no—
1098#95—611no—
1099#95—611no—
1100#95—611no—
1101#95—611no—
1102#95—611no—
1103#95—611no—
1104#95—611no—
1105#95—611no—
1106#95—611no—
1107#95—611no—
1108#95—611no—
1109#95—611no—
1110#95—611no—
1111#95—611no—
1112#95—611no—
1113#95—611no—
1114#95—611no—
1115#95—611no—
1116#95—611no—
1117#95—611no—
1118#95—611no—
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95C22×D6111yescharacteristic
1137#95C22×D6111yescharacteristic
1138#95C22×D6111yescharacteristic
1139#95C22×D6111yescharacteristic
1140#95C22×D6111yescharacteristic
1141#95C22×D6111yescharacteristic
1142#95C22×D6111yescharacteristic
1143#95C22×D6111yescharacteristic
1144C24—22no—
1145C24—22no—
1146C24—22no—
1147C24—41no—
1148C24—41no—
1149C24—41no—
1150C24—41no—
1151C24—611no—
1152C24—611no—
1153C24—614no—
1154C24—614no—
1155C24—614no—
1156C24—2441no—
1157C24—2441no—
1158C24—2441no—
1159C24—2441no—
1160C24C23×D6111yescharacteristic
1161C24C23×D6111yescharacteristic
1162C24C23×D6111yescharacteristic
1163C2×D4—1222no—
1164C2×D4—1222no—
1165C2×D4—1222no—
1166C2×D4—1222no—
1167C2×D4—1222no—
1168C2×D4—1222no—
1169C2×D4—1222no—
1170C2×D4—1222no—
1171C2×D4—1222no—
1172C2×D4—1222no—
1173C2×D4—1222no—
1174C2×D4—1222no—
1175C2×D4—24416no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—611no—
1183C22×C4—611no—
1184C22×C4—611no—
1185C22×C4—611no—
1186C22×C4—611no—
1187C22×C4—611no—
1188C22×C4—611no—
1189C22×C4—611no—
1190C22×C4—611no—
1191C22×C4—611no—
1192C22×C4—611no—
1193C22×C4—611no—
1194C22×C4—611no—
1195C22×C4—611no—
1196C22×C4—1222no—
1197C22×C4—1222no—
1198C22×C4—1222no—
1199C22×C4—1222no—
1200C22×C4—1222no—
1201C22×C4—1222no—
1202C22×C4—1222no—
1203C22×C4—1222no—
1204C22×C4—1222no—
1205C22×C4—1222no—
1206C22×C4—1222no—
1207C22×C4—1222no—
1208C22×C4—1222no—
1209C22×C4—1222no—
1210C22×C4—1222no—
1211C22×C4—1222no—
1212C22×C4—1222no—
1213C22×C4—1222no—
1214C22×C4—1222no—
1215C22×C4—1222no—
1216C22×C4—1222no—
1217C22×C4—1222no—
1218C22×C4—2441no—
1219C22×C4—2441no—
1220C22×C4—2441no—
1221C22×C4—2441no—
1222C22×C4—2441no—
1223C22×C4—2441no—
1224C22×C4—2441no—
1225C22×C4—2441no—
1226C22×C4—2441no—
1227C22×C4—2441no—
1228C22×C4—2441no—
1229C22×C4—2441no—
1230C22×C4—2441no—
1231C22×C4—2441no—
1232C22×C4—2441no—
1233C22×C4—2441no—
1234C22×C4—2441no—
1235C22×C4—2441no—
1236C22×C4—2441no—
1237C22×C4—2441no—
1238C22×C4—24416no—
1239C22×C4—2441no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4C23×D6111yescharacteristic
1243C22×C4C23×D6111yescharacteristic
1244C22×C4C23×D6111yescharacteristic
1245C22×C4C23×D6111yescharacteristic
1246C22×C4C23×D6111yescharacteristic
1247C22×C4C23×D6111yescharacteristic
1248C22×C4C23×D6111yescharacteristic
1249C22×C4C23×D6111yescharacteristic
1250C22×C4C23×D6111yescharacteristic
1251C22×C4C23×D6111yescharacteristic
1252C22×C4C23×D6111yescharacteristic
1253C22×C4C23×D6111yescharacteristic
1254C4⋊C4—22no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—1222no—
1261C4⋊C4—1222no—
1262C4⋊C4—1222no—
1263C4⋊C4—2441no—
1264C4⋊C4—2441no—
1265C4⋊C4—2441no—
1266C4⋊C4—2441no—
1267C4⋊C4—2441no—
1268C4⋊C4—2441no—
1269C4⋊C4—2441no—
1270C4⋊C4—2441no—
1271C4⋊C4—2441no—
1272C4⋊C4—2441no—
1273C4⋊C4—2441no—
1274C4⋊C4—2441no—
1275C4⋊C4—2441no—
1276C4⋊C4—2441no—
1277C4⋊C4—2441no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—1222no—
1295C22⋊C4—1222no—
1296C22⋊C4—1222no—
1297C22⋊C4—1222no—
1298C22⋊C4—1222no—
1299C22⋊C4—1222no—
1300C22⋊C4—1222no—
1301C22⋊C4—1222no—
1302C22⋊C4—1222no—
1303C22⋊C4—1222no—
1304C22⋊C4—1222no—
1305C22⋊C4—1222no—
1306C22⋊C4—1222no—
1307C22⋊C4—1222no—
1308C22⋊C4—1222no—
1309C22⋊C4—1222no—
1310C22⋊C4—1222no—
1311C22⋊C4—1222no—
1312C22⋊C4—2441no—
1313C22⋊C4—2441no—
1314C22⋊C4—2441no—
1315C22⋊C4—2441no—
1316C22⋊C4—2441no—
1317C22⋊C4—2441no—
1318C22⋊C4—2441no—
1319C22⋊C4—2441no—
1320C22⋊C4—2441no—
1321C22⋊C4—2441no—
1322C42—22no—
1323C42—41no—
1324C42—1222no—
1325C42—1222no—
1326C42—1222no—
1327C42—2441no—
1328C42—2441no—
1329C42—2441no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—44no—
1349C23—44no—
1350C23—44no—
1351C23—82no—
1352C23—82no—
1353C23—82no—
1354C23—82no—
1355C23—612no—
1356C23—612no—
1357C23—612no—
1358C23—612no—
1359C23—612no—
1360C23—612no—
1361C23—6116no—
1362C23—1221no—
1363C23—1221no—
1364C23—1221no—
1365C23—1221no—
1366C23—1221no—
1367C23—1221no—
1368C23—1221no—
1369C23—1221no—
1370C23—2444no—
1371C23—2444no—
1372C23—2444no—
1373C23—2444no—
1374C23—2444no—
1375C23—2444no—
1376C23#41×D6112yes—
1377C23#41×D6112yes—
1378C23#41×D6112yes—
1379C23C24×D6111yescharacteristic
1380D4—2444no—
1381D4—2444no—
1382D4—2444no—
1383D4—2444no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—44no—
1420C2×C4—82no—
1421C2×C4—612no—
1422C2×C4—1228no—
1423C2×C4—1221no—
1424C2×C4—1221no—
1425C2×C4—1221no—
1426C2×C4—1221no—
1427C2×C4—1221no—
1428C2×C4—1221no—
1429C2×C4—1221no—
1430C2×C4—1221no—
1431C2×C4—1221no—
1432C2×C4—1221no—
1433C2×C4—1221no—
1434C2×C4—1221no—
1435C2×C4—1221no—
1436C2×C4—1221no—
1437C2×C4—1221no—
1438C2×C4—1221no—
1439C2×C4—1221no—
1440C2×C4—1221no—
1441C2×C4—1221no—
1442C2×C4—1221no—
1443C2×C4—1221no—
1444C2×C4—1221no—
1445C2×C4—1221no—
1446C2×C4—1221no—
1447C2×C4—1221no—
1448C2×C4—1221no—
1449C2×C4—1221no—
1450C2×C4—1221no—
1451C2×C4—1221no—
1452C2×C4—1221no—
1453C2×C4—1221no—
1454C2×C4—1221no—
1455C2×C4—1221no—
1456C2×C4—1221no—
1457C2×C4—1221no—
1458C2×C4—1221no—
1459C2×C4—1221no—
1460C2×C4—1221no—
1461C2×C4—1221no—
1462C2×C4—1221no—
1463C2×C4—1221no—
1464C2×C4—4882no—
1465C2×C4—4882no—
1466C2×C4—4882no—
1467C2×C4—2444no—
1468C2×C4—2444no—
1469C2×C4—2444no—
1470C2×C4—2444no—
1471C2×C4—2444no—
1472C2×C4—2444no—
1473C2×C4—2444no—
1474C2×C4—2444no—
1475C2×C4—2444no—
1476C2×C4—2444no—
1477C2×C4—2444no—
1478C2×C4#1451982212yes—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—22no—
1484C22—22no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—88no—
1500C22—614no—
1501C22—614no—
1502C22—1222no—
1503C22—1222no—
1504C22—1222no—
1505C22—1222no—
1506C22—1222no—
1507C22—1222no—
1508C22—1222no—
1509C22—1222no—
1510C22—1222no—
1511C22—1222no—
1512C22—1222no—
1513C22—1222no—
1514C22—24416no—
1515C22#126×D6114yes—
1516C22C2×#41×D6111yescharacteristic
1517C22C2×#41×D6111yescharacteristic
1518C22C2×#41×D6111yescharacteristic
1519C22H(5,𝔽2)×D6111yescharacteristic
1520C22C2×#1451982211yescharacteristic
1521C22#1684059711yescharacteristic
1522C22#1684059811yescharacteristic
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—1222no—
1536C4—2441no—
1537C4—2441no—
1538C4—2441no—
1539C4—2441no—
1540C4—2441no—
1541C4—2441no—
1542C4—2441no—
1543C4—2441no—
1544C4—2441no—
1545C4—2441no—
1546C4—2441no—
1547C4—2441no—
1548C4—2441no—
1549C2—24no—
1550C2—81no—
1551C2—81no—
1552C2—1224no—
1553C2—1224no—
1554C2C2×#126×D6111yescharacteristic
1555C2#2145922611yescharacteristic
1556C2#2145923011yescharacteristic
1557C2#2145950111yescharacteristic
1558C2#2145951011yescharacteristic
1559C2#2145964611yescharacteristic
1560C2#2145965011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2480C2
prime radicalC23×C22⋊D61C22
hypercenter#2480D61
hypocenterC61#34995
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #21454133C2semidirect
2. #21454133C2semidirect
3. #21454133C2semidirect
4. #21454131C2semidirect
5. #21451776C2semidirect
6. #21451771C2semidirect
7. #21451771C2semidirect
8. #21451771C2semidirect
9. #21450384C2semidirect
10. #21450382C2semidirect
11. #21450378C2semidirect
12. #21450372C2semidirect
13. #21450210C2semidirect
14. #21450206C2semidirect
15. #21450202C2semidirect
16. #21450198C2semidirect
17. #21450086C2semidirect
18. #21450081C2semidirect
19. #21450076C2semidirect
20. #21450075C2semidirect
21. #21450064C2semidirect
22. #21450062C2semidirect
23. #21450059C2semidirect
24. #21448432C2semidirect
25. #21448430C2semidirect
29. #385×D61C2semidirect
30. C4×C22⋊C4×D61C2semidirect
31. C61×#2480C2semidirect
34. C2×#14519770C22semidirect
35. C2×#14519770C22semidirect
36. C2×#14519770C22semidirect
37. C2×C4⋊C4×D61C22semidirect
38. C2×C4⋊C4×D61C22semidirect
45. C2×C42×D61C22semidirect
46. C2×C42×D61C22semidirect
47. C61⋊#401C22semidirect
48. C61⋊#401C22semidirect
49. C61⋊#401C22semidirect
50. C61⋊#401C22semidirect
51. #16839704C22semidirect
52. #16839704C22semidirect
53. #16839704C22semidirect
54. #16839703C22semidirect
55. #16839703C22semidirect
56. #16839703C22semidirect
57. #16839701C22semidirect
58. #16839701C22semidirect
59. #16839701C22semidirect
60. #16839700C22semidirect
61. #16839700C22semidirect
62. #16839700C22semidirect
63. #16839690C22semidirect
64. #16839690C22semidirect
65. #16839690C22semidirect
66. #16839690C22semidirect
67. #16839690C22semidirect
68. #16839690C22semidirect
69. #16839687C22semidirect
70. #16839687C22semidirect
71. #16839687C22semidirect
72. #16839685C22semidirect
73. #16839685C22semidirect
74. #16839685C22semidirect
75. #16839656C22semidirect
76. #16839656C22semidirect
77. #16839656C22semidirect
78. #16839655C22semidirect
79. #16839655C22semidirect
80. #16839655C22semidirect
81. #16839650C22semidirect
82. #16839650C22semidirect
83. #16839650C22semidirect
84. #16839648C22semidirect
85. #16839648C22semidirect
86. #16839648C22semidirect
87. #16839646C22semidirect
88. #16839646C22semidirect
89. #16839646C22semidirect
90. #16839645C22semidirect
91. #16839645C22semidirect
92. #16839645C22semidirect
93. #16839643C22semidirect
94. #16839643C22semidirect
95. #16839643C22semidirect
122. #16839636C22semidirect
123. #16839636C22semidirect
124. #16839636C22semidirect
125. #16839636C22semidirect
126. #16839636C22semidirect
127. #16839636C22semidirect
128. #16839636C22semidirect
129. #16839636C22semidirect
134. #16839633C22semidirect
135. #16839633C22semidirect
136. #16839633C22semidirect
137. #16839633C22semidirect
138. #16839633C22semidirect
139. #16839633C22semidirect
140. #16839633C22semidirect
141. #16839633C22semidirect
142. #16839630C22semidirect
143. #16839629C22semidirect
144. #16839629C22semidirect
145. #16839629C22semidirect
151. #16839621C22semidirect
152. #16839621C22semidirect
155. #16839619C22semidirect
156. #16839619C22semidirect
161. C4×#11758198C22semidirect
162. C4×#11758198C22semidirect
164. #16839609C22semidirect
165. #16839609C22semidirect
168. #95×D61C22semidirect
169. #95×D61C22semidirect
170. #95×D61C22semidirect
171. #95×D61C22semidirect
172. C2×#126×C61C22semidirect
174. C61×#397C22semidirect
175. C61×#397C22semidirect
176. C61×#397C22semidirect
177. C61×#396C22semidirect
178. C61×#388C22semidirect
179. C61×#388C22semidirect
180. C61×#388C22semidirect
592. C22×D61#126semidirect
792. #2480D61semidirect
817. C2×#126C2×D61semidirect
854. #397C2×D61semidirect
855. #397C2×D61semidirect
856. #397C2×D61semidirect
860. #396C2×D61semidirect
870. #388C2×D61semidirect
871. #388C2×D61semidirect
872. #388C2×D61semidirect
967. C61#34995semidirect

Maximal subgroups

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

subgroupindex
#214541332
#214541312
#214517762
#214517712
#214503842
#214503822
#214503782
#214503722
#214502102
#214502062
#214502022
#214501982
#214500862
#214500812
#214500762
#214500752
#214500642
#214500622
#214500592
#214484322
#214484302
#214483952
C2×#168396382
#385×D612
C4×C22⋊C4×D612
C61×#24802
#3499561