Finite Group Databasebeta

← #16026446

Subgroups — #16026446

Order 3328.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719318C211yesmaximal, characteristic
2#13118023C211yesmaximal, characteristic, complemented
3#13118006C211yesmaximal, characteristic, complemented
4#13117993C211yesmaximal, characteristic, complemented
5#13117986C211yesmaximal, characteristic, complemented
6#13117951C211yesmaximal, characteristic, complemented
7#13117920C211yesmaximal, characteristic, complemented
8#13117909C211yesmaximal, characteristic, complemented
9#13117885C211yesmaximal, characteristic, complemented
10#13117848C211yesmaximal, characteristic, complemented
11#13117838C211yesmaximal, characteristic, complemented
12#13117822C211yesmaximal, characteristic, complemented
13#13117779C211yesmaximal, characteristic, complemented
14#13117764C211yesmaximal, characteristic, complemented
15#13117742C211yesmaximal, characteristic, complemented
16C4⋊C4×C22⋊D13C211yesmaximal, characteristic, complemented
17#13117643C211yesmaximal, characteristic, complemented
18#13117626C211yesmaximal, characteristic, complemented
19#13117605C211yesmaximal, characteristic, complemented
20#13117604C211yesmaximal, characteristic, complemented
21#13117542C211yesmaximal, characteristic, complemented
22#13117534C211yesmaximal, characteristic, complemented
23#13117526C211yesmaximal, characteristic, complemented
24#13117505C211yesmaximal, characteristic, complemented
25#13117495C211yesmaximal, characteristic, complemented
26#13117492C211yesmaximal, characteristic, complemented
27#13117430C211yesmaximal, characteristic, complemented
28C4×#88191C211yesmaximal, characteristic, complemented
29C4×#88191C211yesmaximal, characteristic, complemented
30D13×#385C211yesmaximal, characteristic, complemented
31C13×#2361C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C4×D4×C13C2211yescharacteristic, complemented
37C22×C13×C4⋊C4C2211yescharacteristic, complemented
38C2×#88193C2211yescharacteristic
39C2×#88192C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×#88191C2211yescharacteristic
42C2×#88190C2211yescharacteristic
43C2×#88189C2211yescharacteristic
44C2×#88183C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic
49C2×C4×C22⋊D13C2211yescharacteristic
50C2×C4×C22⋊D13C2211yescharacteristic
51#11719318C4116yescomplemented
52C2×#88152C2211yescharacteristic
53C2×#88150C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×#88141C2211yescharacteristic, complemented
57C2×#88139C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×#88133C2211yescharacteristic
63C2×#88131C2211yescharacteristic, complemented
64C13×#390C2211yescharacteristic
65C13×#389C2211yescharacteristic, complemented
66C13×#388C2211yescharacteristic
67C13×#388C2211yescharacteristic, complemented
68C13×#386C2211yescharacteristic
69C13×#386C2211yescharacteristic, complemented
70C13×#385C2211yescharacteristic
71C13×#385C2211yescharacteristic, complemented
72C4×C13×C4⋊C4C2211yescharacteristic, complemented
73C4×C13×C22⋊C4C2211yescharacteristic, complemented
74#11718882C2211yescharacteristic
75#11718882C2211yescharacteristic, complemented
76#11718881C2211yescharacteristic
77#11718881C2211yescharacteristic
78#11718881C2211yescharacteristic
79#11718881C2211yescharacteristic, complemented
80#11718874C2211yescharacteristic
81#11718873C2211yescharacteristic, complemented
82#11718872C2211yescharacteristic, complemented
83#11718871C2211yescharacteristic
84#11718871C2211yescharacteristic, complemented
85#11718871C2211yescharacteristic, complemented
86#11718871C2211yescharacteristic, complemented
87#11718871C2211yescharacteristic, complemented
88C4×C22⋊Dic13C2211yescharacteristic
89C4×C22⋊Dic13C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic, complemented
91C2×#88071C2211yescharacteristic, complemented
92#11718651C2211yescharacteristic
93#11718651C2211yescharacteristic
94#11718650C2211yescharacteristic
95#11718650C2211yescharacteristic
96#11718650C2211yescharacteristic
97#11718650C2211yescharacteristic
98#11718650C2211yescharacteristic
99#11718650C2211yescharacteristic
100#11718650C2211yescharacteristic
101#11718648C2211yescharacteristic
102#11718642C2211yescharacteristic, complemented
103#11718642C2211yescharacteristic, complemented
104#11718639C2211yescharacteristic, complemented
105#11718639C2211yescharacteristic, complemented
106#11718639C2211yescharacteristic, complemented
107#11718637C2211yescharacteristic, complemented
108C4⋊C4×Dic13C2211yescharacteristic, complemented
109C4⋊C4×Dic13C2211yescharacteristic, complemented
110C4⋊C4×Dic13C2211yescharacteristic, complemented
111#11718633C2211yescharacteristic, complemented
112#11718633C2211yescharacteristic, complemented
113#11718633C2211yescharacteristic, complemented
114#11718633C2211yescharacteristic, complemented
115#11718619C2211yescharacteristic
116#11718618C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718617C2211yescharacteristic
120#11718617C2211yescharacteristic
121#11718617C2211yescharacteristic
122#11718617C2211yescharacteristic
123#11718617C2211yescharacteristic
124#11718616C2211yescharacteristic
125#11718616C2211yescharacteristic
126#11718612C2211yescharacteristic
127#11718612C2211yescharacteristic, complemented
128#11718611C2211yescharacteristic
129#11718611C2211yescharacteristic, complemented
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic
132#11718607C2211yescharacteristic
133#11718606C2211yescharacteristic
134#11718606C2211yescharacteristic
135#11718606C2211yescharacteristic
136#11718606C2211yescharacteristic, complemented
137#11718606C2211yescharacteristic, complemented
138#11718606C2211yescharacteristic, complemented
139#11718605C2211yescharacteristic
140#11718605C2211yescharacteristic
141#11718605C2211yescharacteristic
142#11718605C2211yescharacteristic, complemented
143#11718605C2211yescharacteristic, complemented
144#11718605C2211yescharacteristic, complemented
145#11718603C2211yescharacteristic, complemented
146#11718603C2211yescharacteristic, complemented
147C22⋊C4×Dic13C2211yescharacteristic, complemented
148#11718601C2211yescharacteristic
149#11718601C2211yescharacteristic
150C4×#6103C2211yescharacteristic
151C4×#6103C2211yescharacteristic
152C4×#6103C2211yescharacteristic
153C4×#6103C2211yescharacteristic
154C4×#6103C2211yescharacteristic
155C4×#6103C2211yescharacteristic
156#11718594C2211yescharacteristic, complemented
157#11718594C2211yescharacteristic, complemented
158#11718594C2211yescharacteristic, complemented
159#11718594C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162#11718590C2211yescharacteristic, complemented
163#11718589C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic
165#11718331C2211yescharacteristic
166#11718330C2211yescharacteristic
167#11718330C2211yescharacteristic
168#11718329C2211yescharacteristic
169#11718329C2211yescharacteristic
170#11718329C2211yescharacteristic
171#11718328C2211yescharacteristic
172#11718327C2211yescharacteristic
173#11718327C2211yescharacteristic
174D13×#95C2211yescharacteristic
175D13×#95C2211yescharacteristic
176#11718316C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718312C2211yescharacteristic, complemented
180#11718311C2211yescharacteristic, complemented
181#11718311C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718309C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C22×C4×D13—42no—
205C22×C4×D13—42no—
206C22×C4×D13—42no—
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×C4×D13C2311yescharacteristic
213C22×C4×D13C2311yescharacteristic
214C22×C4×D13C2311yescharacteristic
215C22×Dic26C2311yescharacteristic
216C13×#121C2×C418yescomplemented
217C4×D4×C13—42no—
218C4×D4×C13—42no—
219C4×D4×C13—42no—
220C2×C13×C4⋊C4—42no—
221C2×C13×C4⋊C4C2311yescharacteristic
222C2×C13×C4⋊C4C2311yescharacteristic
223C2×C13×C4⋊C4C2311yescharacteristic
224C2×C13×C4⋊C4C2311yescharacteristic
225C2×C13×C4⋊C4C2311yescharacteristic
226C2×C13×C4⋊C4C2311yescharacteristic
227C2×C13×C4⋊C4C2311yescharacteristic
228C2×C13×C22⋊C4C2311yescharacteristic
229C2×C13×C22⋊C4C2311yescharacteristic
230C2×C13×C22⋊C4C2311yescharacteristic
231C2×C13×C22⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2311yescharacteristic
233C2×C13×C22⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4C2311yescharacteristic
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
239C2×C42×C13C2311yescharacteristic
240C2×C42×C13C2311yescharacteristic
241C2×C42×C13C2311yescharacteristic
242C2×C22⋊Dic13C2311yescharacteristic
243C2×C22⋊Dic13C2311yescharacteristic
244C2×C22⋊Dic13C2311yescharacteristic
245C2×C22⋊Dic13C2311yescharacteristic
246C2×C22⋊Dic13C2311yescharacteristic
247C2×C22⋊Dic13C2311yescharacteristic
248C2×C22⋊Dic13C2311yescharacteristic
249C2×C22⋊Dic13C2311yescharacteristic
250C2×C22⋊Dic13C2311yescharacteristic
251C2×C22⋊Dic13C2311yescharacteristic
252C2×C22⋊Dic13C2311yescharacteristic
253C2×C22⋊Dic13C2311yescharacteristic
254C2×C22⋊Dic13C2311yescharacteristic
255C2×C22⋊Dic13C2311yescharacteristic
256C2×C22⋊Dic13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258#88193C2×C418yescomplemented
259#88192C2×C418yescomplemented
260#88191C2×C418yescomplemented
261#88191C2×C418yescomplemented
262#88190C2×C418yescomplemented
263#88189C2×C418yescomplemented
264#88183C2×C418yescomplemented
265C4×C22⋊D13—42no—
266C4×C22⋊D13—42no—
267C4×C22⋊D13—42no—
268C4×C22⋊D13—42no—
269C4×C22⋊D13—42no—
270C4×C22⋊D13C2×C418yescomplemented
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×#6103C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322C2×C4×Dic13C2311yescharacteristic
323C2×C4×Dic13C2311yescharacteristic
324#88152C2×C418yescomplemented
325#88150C2×C418yescomplemented
326C4⋊C4×D13—42no—
327C4⋊C4×D13—42no—
328#88141—42no—
329#88139C2×C418yescomplemented
330#88135—42no—
331#88135C2×C418yescomplemented
332C22⋊C4×D13—42no—
333C22⋊C4×D13C2×C418yescomplemented
334#88133C2×C418yescomplemented
335#88131—42no—
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34416—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13C22×C414yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13C22×C414yes—
396C2×D4×C13C22×C414yes—
397C2×D4×C13C22×C414yescomplemented
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13C22×C414yescomplemented
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13C22×C414yes—
434C2×C22⋊D13C22×C414yes—
435C2×C22⋊D13C22×C414yes—
436C2×C22⋊D13C22×C414yes—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13C22×C414yescomplemented
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—22no—
467C2×C4×D13—22no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—416no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13—41no—
483C2×C4×D13C22×C414yes—
484C2×C4×D13C22×C414yes—
485C2×Dic26—41no—
486C2×Dic26—41no—
487C2×Dic26C22×C414yescomplemented
488C13×C4⋊C4—22no—
489C13×C4⋊C4—22no—
490C13×C4⋊C4—22no—
491C13×C4⋊C4—22no—
492C13×C4⋊C4—41no—
493C13×C4⋊C4—41no—
494C13×C4⋊C4C22×C414yescomplemented
495C13×C22⋊C4—22no—
496C13×C22⋊C4—22no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4—41no—
501C13×C22⋊C4—41no—
502C13×C22⋊C4—41no—
503C13×C22⋊C4C22×C414yes—
504C13×C22⋊C4C22×C414yescomplemented
505C42×C13—41no—
506C42×C13—41no—
507C42×C13—41no—
508C42×C13—41no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13—41no—
515C22⋊Dic13—41no—
516C22⋊Dic13—41no—
517C22⋊Dic13—41no—
518C22⋊Dic13—41no—
519C22⋊Dic13C22×C414yes—
520C22⋊Dic13C22×C414yes—
521C22⋊Dic13C22×C414yes—
522C22⋊Dic13C22×C414yescomplemented
523C22⋊Dic13C22×C414yescomplemented
524C22⋊Dic13C22×C414yescomplemented
525#6103—22no—
526#6103—22no—
527#6103—22no—
528#6103—22no—
529#6103—41no—
530#6103—41no—
531#6103—41no—
532#6103—41no—
533#6103—41no—
534#6103—41no—
535#6103C22×C414yes—
536#6103C22×C414yes—
537#6103C22×C414yes—
538#6103C22×C414yes—
539#6103C22×C414yes—
540#6103C22×C414yes—
541C4⋊Dic13—41no—
542C4⋊Dic13—41no—
543C4⋊Dic13—41no—
544C4⋊Dic13—41no—
545C4⋊Dic13C22×C414yescomplemented
546#6101—22no—
547#6101—22no—
548#6101—41no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101—41no—
558#6101—41no—
559#6101—41no—
560#6101C22×C414yescomplemented
561#6101C22×C414yescomplemented
562#6101C22×C414yescomplemented
563#6101C22×C414yescomplemented
564C4×Dic13—22no—
565C4×Dic13—22no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574C4×Dic13—41no—
575C4×Dic13—41no—
576C4×Dic13C22×C414yescomplemented
577C4×Dic13C22×C414yescomplemented
578C2×#538—131no—
579#2383—131no—
580#2379—131no—
581#2377—131no—
582#2376—131no—
583#2373—131no—
584#2368—131no—
585#2367—131no—
586#2364—131no—
587#2361—131no—
588#2361D1311yescharacteristic, complemented
589#2360—131no—
590#2359—131no—
591#2353—131no—
592#2352—131no—
593#2349—131no—
594D4×C4⋊C4—131no—
595#2337—131no—
596#2335—131no—
597#2334—131no—
598#2334—131no—
599#2326—131no—
600#2325—131no—
601#2324—131no—
602#2322—131no—
603#2321—131no—
604#2321—131no—
605#2312—131no—
606C4×#120—131no—
607C4×#120—131no—
608C2×#385—131no—
609C23×C13—21no—
610C23×C13—21no—
611C23×C13—21no—
612C23×C13—21no—
613C23×C13—21no—
614C23×C13—21no—
615C23×C13—21no—
616C23×C13—21no—
617C23×C13—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13—21no—
627C23×C13C23×C412yes—
628C23×C13C23×C412yes—
629C23×C13C23×C412yes—
630C23×C13C2511yescharacteristic
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—21no—
641C22×D13—28no—
642C22×D13—44no—
643C22×D13—44no—
644C22×D13—44no—
645C22×D13—44no—
646C22×D13—44no—
647C22×D13—44no—
648C22×D13C23×C412yes—
649C22×D13C23×C412yes—
650C22×D13H(5,𝔽2)12yes—
651C22×D132−1+412yes—
652D4×C13—44no—
653D4×C13—44no—
654D4×C13—44no—
655C2×C4×C13—21no—
656C2×C4×C13—21no—
657C2×C4×C13—21no—
658C2×C4×C13—21no—
659C2×C4×C13—21no—
660C2×C4×C13—21no—
661C2×C4×C13—21no—
662C2×C4×C13—21no—
663C2×C4×C13—21no—
664C2×C4×C13—21no—
665C2×C4×C13—21no—
666C2×C4×C13—21no—
667C2×C4×C13—21no—
668C2×C4×C13—21no—
669C2×C4×C13—21no—
670C2×C4×C13—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—44no—
686C2×C4×C13—44no—
687C2×C4×C13—82no—
688C2×C4×C13—82no—
689C2×C4×C13—82no—
690C2×C4×C13C23×C412yes—
691C2×C4×C13C23×C412yes—
692C2×C4×C13C23×C412yes—
693C2×C4×C13C23×C412yes—
694C2×C4×C13H(5,𝔽2)12yes—
695C2×C4×C13H(5,𝔽2)12yes—
696C22⋊D13—28no—
697C22⋊D13—28no—
698C22⋊D13—44no—
699C22⋊D13—44no—
700C2×Dic13—21no—
701C2×Dic13—21no—
702C2×Dic13—21no—
703C2×Dic13—21no—
704C2×Dic13—21no—
705C2×Dic13—21no—
706C2×Dic13—21no—
707C2×Dic13—21no—
708C2×Dic13—21no—
709C2×Dic13—21no—
710C2×Dic13—21no—
711C2×Dic13—21no—
712C2×Dic13—21no—
713C2×Dic13—21no—
714C2×Dic13—21no—
715C2×Dic13—21no—
716C2×Dic13—21no—
717C2×Dic13—21no—
718C2×Dic13—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—44no—
737C2×Dic13—44no—
738C2×Dic13—82no—
739C2×Dic13C23×C412yes—
740C2×Dic13C23×C412yes—
741C2×Dic13C23×C412yes—
742C2×Dic13C23×C412yes—
743C2×Dic13C23×C412yes—
744C2×Dic13C23×C412yes—
745C4×D13—44no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—44no—
749C4×D13—44no—
750C4×D13—44no—
751C4×D13—82no—
752C4×D13—82no—
753Dic26—44no—
754C24×C4—131no—
755#538—1316no—
756C2×#126—131no—
757C2×#126—131no—
758C2×#124—131no—
759C2×#124—131no—
760C2×#123—131no—
761C2×#123—131no—
762C2×C22⋊Q8—131no—
763C2×#121—131no—
764C2×#121—131no—
765C2×#121C2×D1311yescharacteristic
766C2×#120—131no—
767C2×#120—131no—
768C2×C4×Q8—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4—131no—
777C2×C4×D4C2×D1311yescharacteristic
778C2×C4×D4C2×D1311yescharacteristic
779C2×C4×D4C2×D1311yescharacteristic, complemented
780C2×#117—131no—
781C22×C4⋊C4—131no—
782C22×C4⋊C4—131no—
783C22×C4⋊C4C2×D1311yescharacteristic, complemented
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786#391—131no—
787#391—131no—
788#391—131no—
789#390—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#390C2×D1311yescharacteristic
794#389—131no—
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389C2×D1311yescharacteristic, complemented
802#388—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388—131no—
817#388—131no—
818#388—131no—
819#388—131no—
820#388—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388C2×D1311yescharacteristic
825#388C2×D1311yescharacteristic, complemented
826#387—131no—
827#387—131no—
828#387—131no—
829#387—131no—
830#387—131no—
831#387—131no—
832#387—131no—
833#387—131no—
834#387—131no—
835#387—131no—
836#387—131no—
837#387—131no—
838#386—131no—
839#386—131no—
840#386—131no—
841#386—131no—
842#386—131no—
843#386—131no—
844#386—131no—
845#386—131no—
846#386—131no—
847#386—131no—
848#386—131no—
849#386—131no—
850#386C2×D1311yescharacteristic
851#386C2×D1311yescharacteristic, complemented
852#385—131no—
853#385—131no—
854#385—131no—
855#385—131no—
856#385—131no—
857#385—131no—
858#385—131no—
859#385—131no—
860#385—131no—
861#385—131no—
862#385—131no—
863#385—131no—
864#385—131no—
865#385—131no—
866#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385C2×D1311yescharacteristic
873#385C2×D1311yescharacteristic, complemented
874#384—131no—
875#383—131no—
876#382—131no—
877#382—131no—
878#381—131no—
879#380—131no—
880#380—131no—
881#380—131no—
882#380—131no—
883#380—131no—
884#379—131no—
885#379—131no—
886C4×C4⋊C4—131no—
887C4×C4⋊C4—131no—
888C4×C4⋊C4—131no—
889C4×C4⋊C4—131no—
890C4×C4⋊C4—131no—
891C4×C4⋊C4—131no—
892C4×C4⋊C4C2×D1311yescharacteristic, complemented
893C4×C22⋊C4—131no—
894C4×C22⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C4×C22⋊C4C2×D1311yescharacteristic, complemented
906#376—131no—
907C2×#95—131no—
908C2×#95—131no—
909C2×#95—131no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—22no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13—41no—
931C22×C13C24×C411yescharacteristic
932C22×C13C2×H(5,𝔽2)11yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×H(5,𝔽2)11yescharacteristic
935C22×C13C2×2−1+411yescharacteristic
936C22×C13#58511yescharacteristic
937C22×C13#58511yescharacteristic
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—22no—
947C2×D13—416no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—41no—
951C2×D13—41no—
952C2×D13#52014yes—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—22no—
957C4×C13—22no—
958C4×C13—22no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
964C4×C13—41no—
965Dic13—22no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—22no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978Dic13—41no—
979C25—131no—
980C22×Q8—131no—
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4—131no—
985C22×D4C22×D1311yescharacteristic
986C22×D4C22×D1311yescharacteristic
987C22×D4C22×D1311yescharacteristic
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4—131no—
999C23×C4—522no—
1000C23×C4—522no—
1001C23×C4—522no—
1002C23×C4C22×D1311yescharacteristic
1003C23×C4C22×D1311yescharacteristic
1004C23×C4C22×D1311yescharacteristic
1005C23×C4C22×D1311yescharacteristic
1006C23×C4C22×D1311yescharacteristic
1007#126—138no—
1008#126—138no—
1009#124—138no—
1010#124—138no—
1011#123—138no—
1012#123—138no—
1013C22⋊Q8—138no—
1014#121—138no—
1015#121—138no—
1016#121C4×D1318yescomplemented
1017#120—138no—
1018#120—138no—
1019C4×Q8—522no—
1020C4×D4—42no—
1021C4×D4—42no—
1022C4×D4—42no—
1023C4×D4—138no—
1024C4×D4—138no—
1025C4×D4—522no—
1026C4×D4—522no—
1027C4×D4—522no—
1028C4×D4—522no—
1029C4×D4—522no—
1030C4×D4—522no—
1031#117—522no—
1032C2×C4⋊C4—42no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—131no—
1055C2×C4⋊C4—131no—
1056C2×C4⋊C4—522no—
1057C2×C4⋊C4—522no—
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C4⋊C4C22×D1311yescharacteristic
1061C2×C4⋊C4C22×D1311yescharacteristic
1062C2×C4⋊C4C22×D1311yescharacteristic
1063C2×C4⋊C4C22×D1311yescharacteristic
1064C2×C4⋊C4C22×D1311yescharacteristic
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—131no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—138no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—131no—
1094C2×C22⋊C4—131no—
1095C2×C22⋊C4—131no—
1096C2×C22⋊C4—131no—
1097C2×C22⋊C4—131no—
1098C2×C22⋊C4—522no—
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C22⋊C4C22×D1311yescharacteristic
1108C2×C22⋊C4C22×D1311yescharacteristic
1109C2×C42—131no—
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42C22×D1311yescharacteristic
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
1126C2×C42C22×D1311yescharacteristic
1127#95—131no—
1128#95—131no—
1129#95—131no—
1130#95—131no—
1131#95—131no—
1132#95—131no—
1133#95—131no—
1134#95—131no—
1135#95—131no—
1136#95—131no—
1137#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95—131no—
1157#95—131no—
1158#95—131no—
1159#95—131no—
1160#95—131no—
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166#95C22×D1311yescharacteristic
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13—42no—
1170C2×C13C2×#52011yescharacteristic
1171C2×C13C4×H(5,𝔽2)11yescharacteristic
1172C2×C13C4×H(5,𝔽2)11yescharacteristic
1173C2×C13#353211yescharacteristic
1174C2×C13#353311yescharacteristic
1175C2×C13#354111yescharacteristic
1176C2×C13#354111yescharacteristic
1177D13—24no—
1178D13—42no—
1179C24—131no—
1180C24—131no—
1181C24—134no—
1182C24—262no—
1183C24—262no—
1184C24—521no—
1185C24—521no—
1186C24—521no—
1187C24—521no—
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C24C23×D1311yescharacteristic
1191C2×Q8—134no—
1192C2×Q8—521no—
1193C2×Q8—521no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—134no—
1201C2×D4—134no—
1202C2×D4—134no—
1203C2×D4—134no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—262no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4—521no—
1212C2×D4C2×C4×D1314yes—
1213C2×D4C2×C4×D1314yes—
1214C2×D4C2×C4×D1314yescomplemented
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—131no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—134no—
1236C22×C4—134no—
1237C22×C4—134no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—131no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—262no—
1252C22×C4—262no—
1253C22×C4—262no—
1254C22×C4—521no—
1255C22×C4—521no—
1256C22×C4—521no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
1265C22×C4—521no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—5216no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4—521no—
1276C22×C4—521no—
1277C22×C4C2×C4×D1314yescomplemented
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C22×C4C23×D1311yescharacteristic
1289C22×C4C23×D1311yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—134no—
1297C4⋊C4—134no—
1298C4⋊C4—134no—
1299C4⋊C4—134no—
1300C4⋊C4—134no—
1301C4⋊C4—262no—
1302C4⋊C4—262no—
1303C4⋊C4—521no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4—521no—
1318C4⋊C4—521no—
1319C4⋊C4C2×C4×D1314yescomplemented
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—134no—
1329C22⋊C4—134no—
1330C22⋊C4—134no—
1331C22⋊C4—134no—
1332C22⋊C4—134no—
1333C22⋊C4—134no—
1334C22⋊C4—134no—
1335C22⋊C4—134no—
1336C22⋊C4—134no—
1337C22⋊C4—134no—
1338C22⋊C4—134no—
1339C22⋊C4—134no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—521no—
1345C22⋊C4—521no—
1346C22⋊C4—521no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4—521no—
1359C22⋊C4—521no—
1360C22⋊C4C2×C4×D1314yes—
1361C22⋊C4C2×C4×D1314yescomplemented
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—134no—
1367C42—134no—
1368C42—262no—
1369C42—262no—
1370C42—521no—
1371C42—521no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C42—521no—
1379C42—521no—
1380C13#3441611yescharacteristic, complemented, Sylow
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—132no—
1400C23—132no—
1401C23—132no—
1402C23—132no—
1403C23—268no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—261no—
1413C23—261no—
1414C23—524no—
1415C23—524no—
1416C23—524no—
1417C23—524no—
1418C23—524no—
1419C23—524no—
1420C23C22×C4×D1312yes—
1421C23C22×C4×D1312yes—
1422C23C22×C4×D1312yes—
1423C23C24×D1311yescharacteristic
1424Q8—524no—
1425D4—44no—
1426D4—44no—
1427D4—44no—
1428D4—268no—
1429D4—268no—
1430D4—524no—
1431D4—524no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—82no—
1467C2×C4—132no—
1468C2×C4—132no—
1469C2×C4—132no—
1470C2×C4—132no—
1471C2×C4—132no—
1472C2×C4—132no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—261no—
1509C2×C4—524no—
1510C2×C4—524no—
1511C2×C4—524no—
1512C2×C4—524no—
1513C2×C4—524no—
1514C2×C4—524no—
1515C2×C4—524no—
1516C2×C4—524no—
1517C2×C4—1042no—
1518C2×C4—1042no—
1519C2×C4—1042no—
1520C2×C4C22×C4×D1312yes—
1521C2×C4C22×C4×D1312yes—
1522C2×C4C22×C4×D1312yes—
1523C2×C4C22×C4×D1312yes—
1524C2×C4#8825112yes—
1525C2×C4#8825112yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—134no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—262no—
1556C22—262no—
1557C22—5216no—
1558C22—521no—
1559C22—521no—
1560C22—521no—
1561C22—521no—
1562C22C23×C4×D1311yescharacteristic
1563C22C2×#8825111yescharacteristic
1564C22C2×#8825111yescharacteristic
1565C22#1171964811yescharacteristic
1566C22#1171964811yescharacteristic
1567C22D13×H(5,𝔽2)11yescharacteristic
1568C22D13×2−1+411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—262no—
1582C4—262no—
1583C4—262no—
1584C4—262no—
1585C4—262no—
1586C4—262no—
1587C4—521no—
1588C4—521no—
1589C4—521no—
1590C4—521no—
1591C4—521no—
1592C4—521no—
1593C4—521no—
1594C4—521no—
1595C2—42no—
1596C2—42no—
1597C2—42no—
1598C2—264no—
1599C2—522no—
1600C2D13×#52011yescharacteristic
1601C2C4×#8825111yescharacteristic
1602C2C4×#8825111yescharacteristic
1603C2#1312898611yescharacteristic
1604C2#1312899411yescharacteristic
1605C2#1312911911yescharacteristic
1606C2#1312912711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2361C2
socle, cosocleC23×C13C25
prime radicalC2×#11719318C2
hypercenter#2361D13
hypocenterC13#34416
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2361

Complements

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

NH ≅ G/Ntype
2. #13118023C2semidirect
3. #13118006C2semidirect
4. #13117993C2semidirect
5. #13117986C2semidirect
6. #13117951C2semidirect
7. #13117920C2semidirect
8. #13117909C2semidirect
9. #13117885C2semidirect
10. #13117848C2semidirect
11. #13117838C2semidirect
12. #13117822C2semidirect
13. #13117779C2semidirect
14. #13117764C2semidirect
15. #13117742C2semidirect
16. C4⋊C4×C22⋊D13C2semidirect
17. #13117643C2semidirect
18. #13117626C2semidirect
19. #13117605C2semidirect
20. #13117604C2semidirect
21. #13117542C2semidirect
22. #13117534C2semidirect
23. #13117526C2semidirect
24. #13117505C2semidirect
25. #13117495C2semidirect
26. #13117492C2semidirect
27. #13117430C2semidirect
28. C4×#88191C2semidirect
29. C4×#88191C2semidirect
30. D13×#385C2semidirect
31. C13×#2361C2semidirect
36. C2×C4×D4×C13C22semidirect
37. C22×C13×C4⋊C4C22semidirect
51. #11719318C4semidirect
56. C2×#88141C22semidirect
63. C2×#88131C22semidirect
65. C13×#389C22semidirect
67. C13×#388C22semidirect
69. C13×#386C22semidirect
71. C13×#385C22semidirect
72. C4×C13×C4⋊C4C22semidirect
73. C4×C13×C22⋊C4C22semidirect
75. #11718882C22semidirect
79. #11718881C22semidirect
81. #11718873C22semidirect
82. #11718872C22semidirect
84. #11718871C22semidirect
85. #11718871C22semidirect
86. #11718871C22semidirect
87. #11718871C22semidirect
90. C4×C22⋊Dic13C22semidirect
91. C2×#88071C22semidirect
102. #11718642C22semidirect
103. #11718642C22semidirect
104. #11718639C22semidirect
105. #11718639C22semidirect
106. #11718639C22semidirect
107. #11718637C22semidirect
108. C4⋊C4×Dic13C22semidirect
109. C4⋊C4×Dic13C22semidirect
110. C4⋊C4×Dic13C22semidirect
111. #11718633C22semidirect
112. #11718633C22semidirect
113. #11718633C22semidirect
114. #11718633C22semidirect
127. #11718612C22semidirect
129. #11718611C22semidirect
136. #11718606C22semidirect
137. #11718606C22semidirect
138. #11718606C22semidirect
142. #11718605C22semidirect
143. #11718605C22semidirect
144. #11718605C22semidirect
145. #11718603C22semidirect
146. #11718603C22semidirect
147. C22⋊C4×Dic13C22semidirect
156. #11718594C22semidirect
157. #11718594C22semidirect
158. #11718594C22semidirect
159. #11718594C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. #11718590C22semidirect
163. #11718589C22semidirect
176. #11718316C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718312C22semidirect
180. #11718311C22semidirect
181. #11718311C22semidirect
182. #11718310C22semidirect
183. #11718309C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
216. C13×#121C2×C4semidirect
258. #88193C2×C4semidirect
259. #88192C2×C4semidirect
260. #88191C2×C4semidirect
261. #88191C2×C4semidirect
262. #88190C2×C4semidirect
263. #88189C2×C4semidirect
264. #88183C2×C4semidirect
270. C4×C22⋊D13C2×C4semidirect
324. #88152C2×C4semidirect
325. #88150C2×C4semidirect
329. #88139C2×C4semidirect
331. #88135C2×C4semidirect
333. C22⋊C4×D13C2×C4semidirect
334. #88133C2×C4semidirect
397. C2×D4×C13C22×C4semidirect
412. C22×C4×C13C22×C4semidirect
445. C22×Dic13C22×C4semidirect
487. C2×Dic26C22×C4semidirect
494. C13×C4⋊C4C22×C4semidirect
504. C13×C22⋊C4C22×C4semidirect
522. C22⋊Dic13C22×C4semidirect
523. C22⋊Dic13C22×C4semidirect
524. C22⋊Dic13C22×C4semidirect
545. C4⋊Dic13C22×C4semidirect
560. #6101C22×C4semidirect
561. #6101C22×C4semidirect
562. #6101C22×C4semidirect
563. #6101C22×C4semidirect
576. C4×Dic13C22×C4semidirect
577. C4×Dic13C22×C4semidirect
588. #2361D13semidirect
779. C2×C4×D4C2×D13semidirect
783. C22×C4⋊C4C2×D13semidirect
801. #389C2×D13semidirect
825. #388C2×D13semidirect
851. #386C2×D13semidirect
873. #385C2×D13semidirect
892. C4×C4⋊C4C2×D13semidirect
905. C4×C22⋊C4C2×D13semidirect
1016. #121C4×D13semidirect
1214. C2×D4C2×C4×D13semidirect
1277. C22×C4C2×C4×D13semidirect
1319. C4⋊C4C2×C4×D13semidirect
1361. C22⋊C4C2×C4×D13semidirect
1380. C13#34416semidirect

Maximal subgroups

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

subgroupindex
C2×#117193182
#131180232
#131180062
#131179932
#131179862
#131179512
#131179202
#131179092
#131178852
#131178482
#131178382
#131178222
#131177792
#131177642
#131177422
C4⋊C4×C22⋊D132
#131176432
#131176262
#131176052
#131176042
#131175422
#131175342
#131175262
#131175052
#131174952
#131174922
#131174302
C4×#881912
D13×#3852
C13×#23612
#3441613