Finite Group Databasebeta

← #16035073

Subgroups — #16035073

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13120388C211yesmaximal, characteristic, complemented
2#13120361C211yesmaximal, characteristic, complemented
3#13120280C211yesmaximal, characteristic, complemented
4#13120253C211yesmaximal, characteristic, complemented
5#13120171C211yesmaximal, characteristic, complemented
6#13120144C211yesmaximal, characteristic, complemented
7#13119958C211yesmaximal, characteristic, complemented
8#13119931C211yesmaximal, characteristic, complemented
9#13119392C211yesmaximal, characteristic, complemented
10#13119339C211yesmaximal, characteristic, complemented
11#13119081C211yesmaximal, characteristic, complemented
12#13118956C211yesmaximal, characteristic, complemented
13#13118664C211yesmaximal, characteristic, complemented
14#13118580C211yesmaximal, characteristic, complemented
15#13118376C211yesmaximal, characteristic
16#13118133C211yesmaximal, characteristic, complemented
17#13118124C211yesmaximal, characteristic, complemented
18#13118101C211yesmaximal, characteristic, complemented
19#13118075C211yesmaximal, characteristic, complemented
20#13117390C211yesmaximal, characteristic, complemented
21#13117377C211yesmaximal, characteristic, complemented
22#13117364C211yesmaximal, characteristic, complemented
23#123×Dic13C211yesmaximal, characteristic, complemented
24#13117346C211yesmaximal, characteristic, complemented
25#13117346C211yesmaximal, characteristic, complemented
26#120×Dic13C211yesmaximal, characteristic, complemented
27#13117335C211yesmaximal, characteristic, complemented
28#13117272C211yesmaximal, characteristic, complemented
29C4×D4×Dic13C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2418C211yesmaximal, characteristic, complemented
32C24×Dic13C2211yescharacteristic
33C2×C13×#123C2211yescharacteristic
34C2×C13×#120C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C22×C13×C22⋊C4C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C2×#88193C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×#88178C2211yescharacteristic
46C22×C4×Dic13C2211yescharacteristic
47C22×C4×Dic13C2211yescharacteristic
48C22×C4×Dic13C2211yescharacteristic, complemented
49C2×#88146C2211yescharacteristic, complemented
50C2×#88141C2211yescharacteristic, complemented
51C2×#88139C2211yescharacteristic
52C2×#88135C2211yescharacteristic
53C2×#88135C2211yescharacteristic
54C2×#88135C2211yescharacteristic
55C2×#88135C2211yescharacteristic, complemented
56C2×#88133C2211yescharacteristic
57C13×#399C2211yescharacteristic
58C13×#397C2211yescharacteristic
59C13×#394C2211yescharacteristic
60C13×#394C2211yescharacteristic
61C13×#388C2211yescharacteristic
62C13×#388C2211yescharacteristic
63C13×#386C2211yescharacteristic
64C13×#386C2211yescharacteristic
65C13×#385C2211yescharacteristic
66C13×#380C2211yescharacteristic
67C13×#379C2211yescharacteristic
68#11718908C2211yescharacteristic
69#11718884C2211yescharacteristic
70#11718883C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic
74#11718881C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718874C2211yescharacteristic, complemented
78#11718872C2211yescharacteristic, complemented
79C4×C22⋊Dic13C2211yescharacteristic
80C4×C22⋊Dic13C2211yescharacteristic, complemented
81C2×#88071C2211yescharacteristic
82C2×#88071C2211yescharacteristic
83#11718654C2211yescharacteristic, complemented
84#11718654C2211yescharacteristic, complemented
85#11718651C2211yescharacteristic, complemented
86#11718651C2211yescharacteristic, complemented
87#11718647C2211yescharacteristic, complemented
88#11718644C2211yescharacteristic, complemented
89#11718643C2211yescharacteristic, complemented
90#11718643C2211yescharacteristic, complemented
91#11718642C2211yescharacteristic, complemented
92#11718642C2211yescharacteristic, complemented
93#11718639C2211yescharacteristic, complemented
94#11718639C2211yescharacteristic, complemented
95C4⋊C4×Dic13C2211yescharacteristic, complemented
96C4⋊C4×Dic13C2211yescharacteristic, complemented
97C4⋊C4×Dic13C2211yescharacteristic, complemented
98C4⋊C4×Dic13C2211yescharacteristic, complemented
99#11718635C2211yescharacteristic, complemented
100#11718634C2211yescharacteristic, complemented
101#11718622C2211yescharacteristic
102#11718622C2211yescharacteristic
103#11718620C2211yescharacteristic
104#11718620C2211yescharacteristic, complemented
105#11718619C2211yescharacteristic
106#11718619C2211yescharacteristic
107#11718619C2211yescharacteristic
108#11718619C2211yescharacteristic
109#11718618C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic, complemented
112#11718614C2211yescharacteristic
113#11718613C2211yescharacteristic
114#11718613C2211yescharacteristic
115#11718613C2211yescharacteristic
116#11718613C2211yescharacteristic, complemented
117#11718612C2211yescharacteristic
118#11718612C2211yescharacteristic
119#11718611C2211yescharacteristic
120#11718611C2211yescharacteristic
121#11718611C2211yescharacteristic
122#11718611C2211yescharacteristic
123#11718611C2211yescharacteristic, complemented
124#11718609C2211yescharacteristic
125#11718609C2211yescharacteristic
126#11718609C2211yescharacteristic, complemented
127#11718608C2211yescharacteristic
128#11718608C2211yescharacteristic, complemented
129#11718607C2211yescharacteristic
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic
132#11718607C2211yescharacteristic
133#11718607C2211yescharacteristic
134#11718606C2211yescharacteristic
135#11718606C2211yescharacteristic
136#11718605C2211yescharacteristic
137#11718605C2211yescharacteristic
138#11718605C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic
140#11718603C2211yescharacteristic, complemented
141C22⋊C4×Dic13C2211yescharacteristic
142C22⋊C4×Dic13C2211yescharacteristic
143C22⋊C4×Dic13C2211yescharacteristic
144C22⋊C4×Dic13C2211yescharacteristic
145C22⋊C4×Dic13C2211yescharacteristic
146C22⋊C4×Dic13C2211yescharacteristic
147C22⋊C4×Dic13C2211yescharacteristic
148C22⋊C4×Dic13C2211yescharacteristic
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic
152C22⋊C4×Dic13C2211yescharacteristic
153C22⋊C4×Dic13C2211yescharacteristic
154C22⋊C4×Dic13C2211yescharacteristic
155C22⋊C4×Dic13C2211yescharacteristic
156C22⋊C4×Dic13C2211yescharacteristic, complemented
157C22⋊C4×Dic13C2211yescharacteristic, complemented
158C22⋊C4×Dic13C2211yescharacteristic, complemented
159#11718601C2211yescharacteristic, complemented
160C4×C4⋊Dic13C2211yescharacteristic, complemented
161#11718594C2211yescharacteristic, complemented
162C42×Dic13C2211yescharacteristic, complemented
163#11718335C2211yescharacteristic, complemented
164#11718331C2211yescharacteristic, complemented
165#11718331C2211yescharacteristic, complemented
166#11718331C2211yescharacteristic, complemented
167#11718327C2211yescharacteristic, complemented
168#11718327C2211yescharacteristic, complemented
169C13⋊#401C2211yescharacteristic, complemented
170#11718322C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718320C2211yescharacteristic, complemented
173#11718319C2211yescharacteristic, complemented
174#11718316C2211yescharacteristic, complemented
175#11718315C2211yescharacteristic, complemented
176#11718313C2211yescharacteristic, complemented
177#11718313C2211yescharacteristic, complemented
178#11718312C2211yescharacteristic, complemented
179#11718311C2211yescharacteristic, complemented
180#11718310C2211yescharacteristic, complemented
181#11718310C2211yescharacteristic, complemented
182#11718310C2211yescharacteristic, complemented
183#11718309C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C22×C22⋊D13C2311yescharacteristic
195C22×C22⋊D13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13—24no—
199C23×Dic13—42no—
200C23×Dic13—42no—
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#123—24no—
214C13×#120—24no—
215C4×D4×C13—24no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4—24no—
222C2×C13×C22⋊C4C2311yescharacteristic
223C2×C13×C22⋊C4C2311yescharacteristic
224C2×C13×C22⋊C4C2311yescharacteristic
225C2×C13×C22⋊C4C2311yescharacteristic
226C2×C13×C22⋊C4C2311yescharacteristic
227C2×C13×C22⋊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
239#88207—24no—
240C2×C22⋊Dic13—24no—
241C2×C22⋊Dic13C2311yescharacteristic
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
258C2×C22⋊Dic13C2311yescharacteristic
259#88193—24no—
260#88193—24no—
261D4×Dic13—24no—
262D4×Dic13—24no—
263D4×Dic13—42no—
264D4×Dic13—42no—
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282#88178—24no—
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×C4×Dic13—42no—
296C2×C4×Dic13—42no—
297C2×C4×Dic13—42no—
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303C2×C4×Dic13C2311yescharacteristic
304C2×C4×Dic13C2311yescharacteristic
305C2×C4×Dic13C2311yescharacteristic
306C2×C4×Dic13C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310C2×C4×Dic13C2311yescharacteristic
311C2×C4×Dic13C2311yescharacteristic
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2311yescharacteristic
316C2×C4×Dic13C2311yescharacteristic
317#88146—42no—
318#88141—42no—
319#88139—24no—
320#88135—24no—
321#88135—42no—
322#88135—42no—
323#88135—42no—
324#88133—24no—
325C13×#95C2311yescharacteristic
326C13×#95C2311yescharacteristic
327C13×#95C2311yescharacteristic
328C13×#95C2311yescharacteristic
329C13×#95C2311yescharacteristic
330C13×#95C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
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#34959—131nomaximal, Sylow
370C24×C13—22no—
371C24×C13—22no—
372C24×C13—22no—
373C24×C13—22no—
374C24×C13—22no—
375C24×C13—41no—
376C24×C13—41no—
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C24×C13C2411yescharacteristic
381C23×D13C2411yescharacteristic
382C2×D4×C13—22no—
383C2×D4×C13—22no—
384C2×D4×C13—22no—
385C2×D4×C13—22no—
386C2×D4×C13—22no—
387C2×D4×C13—22no—
388C2×D4×C13—41no—
389C2×D4×C13—41no—
390C2×D4×C13#4114yes—
391C22×C4×C13—22no—
392C22×C4×C13—22no—
393C22×C4×C13—22no—
394C22×C4×C13—22no—
395C22×C4×C13—22no—
396C22×C4×C13—22no—
397C22×C4×C13—41no—
398C22×C4×C13—41no—
399C22×C4×C13—41no—
400C22×C4×C13C2411yescharacteristic
401C22×C4×C13C2411yescharacteristic
402C22×C4×C13C2411yescharacteristic
403C22×C4×C13C2411yescharacteristic
404C22×C4×C13C2411yescharacteristic
405C22×C4×C13C2411yescharacteristic
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C2×C22⋊D13—22no—
412C2×C22⋊D13—22no—
413C2×C22⋊D13—22no—
414C2×C22⋊D13—22no—
415C2×C22⋊D13—22no—
416C2×C22⋊D13—22no—
417C2×C22⋊D13—22no—
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—41no—
421C2×C22⋊D13—41no—
422C2×C22⋊D13—41no—
423C22×Dic13—22no—
424C22×Dic13—22no—
425C22×Dic13—22no—
426C22×Dic13—22no—
427C22×Dic13—22no—
428C22×Dic13—22no—
429C22×Dic13—22no—
430C22×Dic13—22no—
431C22×Dic13—22no—
432C22×Dic13—22no—
433C22×Dic13—22no—
434C22×Dic13—22no—
435C22×Dic13—22no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13—41no—
446C22×Dic13—41no—
447C22×Dic13—41no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—416no—
453C22×Dic13#4114yes—
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C2×C4×D13—22no—
470C2×C4×D13—22no—
471C2×C4×D13—22no—
472C2×Dic26—22no—
473C2×Dic26—22no—
474C2×Dic26—41no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C4⋊C4—41no—
479C13×C4⋊C4—41no—
480C13×C22⋊C4—22no—
481C13×C22⋊C4—22no—
482C13×C22⋊C4—22no—
483C13×C22⋊C4—22no—
484C13×C22⋊C4—22no—
485C13×C22⋊C4—22no—
486C13×C22⋊C4—22no—
487C13×C22⋊C4—22no—
488C13×C22⋊C4—22no—
489C13×C22⋊C4—22no—
490C13×C22⋊C4—22no—
491C13×C22⋊C4—22no—
492C13×C22⋊C4—41no—
493C13×C22⋊C4—41no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4#4114yes—
496C42×C13—22no—
497C22⋊Dic13—22no—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—22no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—22no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—22no—
508C22⋊Dic13—22no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13#4114yes—
514C22⋊Dic13#4114yes—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—41no—
521#6103—41no—
522#6103—41no—
523#6103—41no—
524#6103—41no—
525C4⋊Dic13—22no—
526C4⋊Dic13—22no—
527C4⋊Dic13—22no—
528C4⋊Dic13—22no—
529C4⋊Dic13—41no—
530C4⋊Dic13—41no—
531C4⋊Dic13—41no—
532#6101—22no—
533#6101—22no—
534#6101—22no—
535#6101—22no—
536#6101—22no—
537#6101—22no—
538#6101—22no—
539#6101—41no—
540#6101—41no—
541#6101—41no—
542#6101—41no—
543#6101—41no—
544C4×Dic13—22no—
545C4×Dic13—22no—
546C4×Dic13—22no—
547C4×Dic13—22no—
548C4×Dic13—22no—
549C4×Dic13—22no—
550C4×Dic13—22no—
551C4×Dic13—22no—
552C4×Dic13—22no—
553C4×Dic13—22no—
554C4×Dic13—22no—
555C4×Dic13—22no—
556C4×Dic13—22no—
557C4×Dic13—41no—
558C4×Dic13—41no—
559C4×Dic13—41no—
560C4×Dic13—41no—
561C4×Dic13—41no—
562C4×Dic13—41no—
563#2597—131no—
564#2595—131no—
565#2589—131no—
566#2587—131no—
567#2578—131no—
568#2576—131no—
569#2559—131no—
570#2557—131no—
571#2510—131no—
572#2505—131no—
573#2480—131no—
574#2472—131no—
575#2450—131no—
576#2444—131no—
577#2424—131no—
578#2418D1311yescharacteristic, complemented
579#2401—131no—
580#2398—131no—
581#2395—131no—
582#2392—131no—
583C4×#126—131no—
584C4×#124—131no—
585C4×C22⋊Q8—131no—
586C4×#123—131no—
587C4×#121—131no—
588C4×#121—131no—
589C4×#120—131no—
590C4×#120—131no—
591#2290—131no—
592C42×D4—131no—
593C2×C4×C22⋊C4—131no—
594C23×C13—21no—
595C23×C13—21no—
596C23×C13—21no—
597C23×C13—21no—
598C23×C13—28no—
599C23×C13—21no—
600C23×C13—21no—
601C23×C13—21no—
602C23×C13—21no—
603C23×C13—21no—
604C23×C13—21no—
605C23×C13—21no—
606C23×C13—21no—
607C23×C13—21no—
608C23×C13—21no—
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—44no—
618C23×C13—44no—
619C23×C13—44no—
620C23×C13—44no—
621C23×C13—44no—
622C23×C13—44no—
623C23×C13C2×#4112yes—
624C23×C13C2×#4112yes—
625C23×C13C2×#4112yes—
626C23×C13C2×#4112yes—
627C23×C13C2×#4112yes—
628C23×C13C2×#4112yes—
629C23×C13C2511yescharacteristic
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637D4×C13—28no—
638D4×C13—44no—
639D4×C13—44no—
640C2×C4×C13—21no—
641C2×C4×C13—21no—
642C2×C4×C13—21no—
643C2×C4×C13—21no—
644C2×C4×C13—21no—
645C2×C4×C13—21no—
646C2×C4×C13—21no—
647C2×C4×C13—21no—
648C2×C4×C13—21no—
649C2×C4×C13—21no—
650C2×C4×C13—21no—
651C2×C4×C13—21no—
652C2×C4×C13—21no—
653C2×C4×C13—21no—
654C2×C4×C13—21no—
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—44no—
671C2×C4×C13—44no—
672C2×C4×C13—44no—
673C2×C4×C13C2×#4112yes—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C22⋊D13—44no—
677C22⋊D13—44no—
678C22⋊D13—44no—
679C22⋊D13—44no—
680C2×Dic13—21no—
681C2×Dic13—21no—
682C2×Dic13—21no—
683C2×Dic13—21no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—28no—
691C2×Dic13—21no—
692C2×Dic13—21no—
693C2×Dic13—21no—
694C2×Dic13—21no—
695C2×Dic13—21no—
696C2×Dic13—21no—
697C2×Dic13—21no—
698C2×Dic13—21no—
699C2×Dic13—21no—
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—44no—
719C2×Dic13—44no—
720C2×Dic13—44no—
721C2×Dic13—44no—
722C2×Dic13—44no—
723C2×Dic13—44no—
724C2×Dic13—44no—
725C2×Dic13—44no—
726C2×Dic13—44no—
727C2×Dic13C2×#4112yes—
728C2×Dic13C2×#4112yes—
729C2×Dic13C2×#4112yes—
730C2×Dic13C2×#4112yes—
731C2×Dic13C2×#4112yes—
732C2×Dic13C2×#4112yes—
733C2×Dic13H(5,𝔽2)12yes—
734C2×Dic13H(5,𝔽2)12yes—
735C4×D13—44no—
736Dic26—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124—131no—
740C2×#123C2×D1311yescharacteristic
741C2×C22⋊Q8—131no—
742C2×#121—131no—
743C2×#121—131no—
744C2×#120—131no—
745C2×#120C2×D1311yescharacteristic
746C2×C4×Q8—131no—
747C2×C4×D4—131no—
748C2×C4×D4—131no—
749C2×C4×D4—131no—
750C2×C4×D4—131no—
751C2×C4×D4—131no—
752C2×C4×D4—131no—
753C2×C4×D4—131no—
754C2×C4×D4—131no—
755C2×C4×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4C2×D1311yescharacteristic
759C22×C42—131no—
760C22×C42—131no—
761C22×C42—131no—
762#401—131no—
763#400—131no—
764#400—131no—
765#400—131no—
766#400—131no—
767#400—131no—
768#400—131no—
769#399C2×D1311yescharacteristic
770#398—131no—
771#398—131no—
772#397—131no—
773#397—131no—
774#397—131no—
775#397—131no—
776#397—131no—
777#397—131no—
778#397—131no—
779#397—131no—
780#397C2×D1311yescharacteristic
781#396—131no—
782#396—131no—
783#396—131no—
784#394—131no—
785#394—131no—
786#394—131no—
787#394—131no—
788#394—131no—
789#394C2×D1311yescharacteristic
790#394C2×D1311yescharacteristic
791#393—131no—
792#393—131no—
793#392—131no—
794#391—131no—
795#391—131no—
796#390—131no—
797#390—131no—
798#390—131no—
799#389—131no—
800#389—131no—
801#389—131no—
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#388C2×D1311yescharacteristic
816#388C2×D1311yescharacteristic
817#387—131no—
818#387—131no—
819#387—131no—
820#387—131no—
821#387—131no—
822#387—131no—
823#387—131no—
824#387—131no—
825#387—131no—
826#386—131no—
827#386—131no—
828#386—131no—
829#386—131no—
830#386—131no—
831#386—131no—
832#386—131no—
833#386—131no—
834#386—131no—
835#386—131no—
836#386—131no—
837#386C2×D1311yescharacteristic
838#386C2×D1311yescharacteristic
839#385—131no—
840#385—131no—
841#385—131no—
842#385—131no—
843#385—131no—
844#385—131no—
845#385—131no—
846#385—131no—
847#385—131no—
848#385—131no—
849#385C2×D1311yescharacteristic
850#383—131no—
851#382—131no—
852#381—131no—
853#380—131no—
854#380—131no—
855#380C2×D1311yescharacteristic
856#379—131no—
857#379C2×D1311yescharacteristic
858C4×C4⋊C4—131no—
859C4×C4⋊C4—131no—
860C4×C4⋊C4—131no—
861C4×C4⋊C4—131no—
862C4×C4⋊C4—131no—
863C4×C4⋊C4—131no—
864C4×C4⋊C4—131no—
865C4×C4⋊C4—131no—
866C4×C22⋊C4—131no—
867C4×C22⋊C4—131no—
868C4×C22⋊C4—131no—
869C4×C22⋊C4—131no—
870C4×C22⋊C4—131no—
871C4×C22⋊C4—131no—
872C4×C22⋊C4—131no—
873C4×C22⋊C4—131no—
874C4×C22⋊C4—131no—
875C4×C22⋊C4—131no—
876C4×C22⋊C4—131no—
877C4×C22⋊C4—131no—
878C4×C22⋊C4—131no—
879C4×C22⋊C4—131no—
880C4×C22⋊C4—131no—
881C4×C22⋊C4—131no—
882C4×C22⋊C4—131no—
883C4×C22⋊C4—131no—
884C4×C22⋊C4—131no—
885C4×C22⋊C4—131no—
886C4×C22⋊C4—131no—
887C4×C22⋊C4—131no—
888#376—131no—
889C2×#95—131no—
890C2×#95—131no—
891C43—131no—
892C22×C13—22no—
893C22×C13—22no—
894C22×C13—22no—
895C22×C13—22no—
896C22×C13—22no—
897C22×C13—22no—
898C22×C13—22no—
899C22×C13—22no—
900C22×C13—22no—
901C22×C13—22no—
902C22×C13—22no—
903C22×C13—22no—
904C22×C13—22no—
905C22×C13—22no—
906C22×C13—22no—
907C22×C13—416no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13—41no—
913C22×C13—41no—
914C22×C13—41no—
915C22×C13—41no—
916C22×C13—41no—
917C22×C13—41no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13#52914yes—
921C22×C13C22×#4111yescharacteristic
922C22×C13C22×#4111yescharacteristic
923C22×C13C22×#4111yescharacteristic
924C22×C13C22×#4111yescharacteristic
925C22×C13C22×#4111yescharacteristic
926C22×C13C2×H(5,𝔽2)11yescharacteristic
927C22×C13C2×H(5,𝔽2)11yescharacteristic
928C2×D13—41no—
929C2×D13—41no—
930C2×D13—41no—
931C2×D13—41no—
932C2×D13—41no—
933C2×D13—41no—
934C2×D13—41no—
935C4×C13—22no—
936C4×C13—22no—
937C4×C13—22no—
938C4×C13—41no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—41no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13#53814yes—
961C25C22×D1311yescharacteristic
962C22×Q8—131no—
963C22×D4—131no—
964C22×D4—131no—
965C22×D4—131no—
966C22×D4—131no—
967C22×D4C22×D1311yescharacteristic
968C22×D4C22×D1311yescharacteristic
969C22×D4C22×D1311yescharacteristic
970C23×C4—131no—
971C23×C4—131no—
972C23×C4—131no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4—131no—
981C23×C4—264no—
982C23×C4—522no—
983C23×C4—522no—
984C23×C4C22×D1311yescharacteristic
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—264no—
989#123—24no—
990C22⋊Q8—264no—
991#121—264no—
992#121—264no—
993#120—24no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—24no—
997C4×D4—264no—
998C4×D4—264no—
999C4×D4—264no—
1000C4×D4—522no—
1001C4×D4—522no—
1002C4×D4—522no—
1003C4×D4—522no—
1004C4×D4—522no—
1005#117—522no—
1006C2×C4⋊C4—131no—
1007C2×C4⋊C4—131no—
1008C2×C4⋊C4—131no—
1009C2×C4⋊C4—131no—
1010C2×C4⋊C4—131no—
1011C2×C4⋊C4—131no—
1012C2×C4⋊C4—131no—
1013C2×C4⋊C4—131no—
1014C2×C4⋊C4—131no—
1015C2×C4⋊C4—131no—
1016C2×C4⋊C4—131no—
1017C2×C4⋊C4—131no—
1018C2×C4⋊C4—131no—
1019C2×C4⋊C4—131no—
1020C2×C4⋊C4—131no—
1021C2×C4⋊C4—131no—
1022C2×C4⋊C4—131no—
1023C2×C4⋊C4—131no—
1024C2×C4⋊C4—131no—
1025C2×C4⋊C4C22×D1311yescharacteristic
1026C2×C4⋊C4C22×D1311yescharacteristic
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—131no—
1032C2×C22⋊C4—131no—
1033C2×C22⋊C4—131no—
1034C2×C22⋊C4—131no—
1035C2×C22⋊C4—131no—
1036C2×C22⋊C4—131no—
1037C2×C22⋊C4—131no—
1038C2×C22⋊C4—131no—
1039C2×C22⋊C4—131no—
1040C2×C22⋊C4—131no—
1041C2×C22⋊C4—131no—
1042C2×C22⋊C4—131no—
1043C2×C22⋊C4—131no—
1044C2×C22⋊C4—131no—
1045C2×C22⋊C4—131no—
1046C2×C22⋊C4—131no—
1047C2×C22⋊C4—131no—
1048C2×C22⋊C4—131no—
1049C2×C22⋊C4—131no—
1050C2×C22⋊C4—131no—
1051C2×C22⋊C4—131no—
1052C2×C22⋊C4—131no—
1053C2×C22⋊C4—131no—
1054C2×C22⋊C4—131no—
1055C2×C22⋊C4—131no—
1056C2×C22⋊C4—131no—
1057C2×C22⋊C4—131no—
1058C2×C22⋊C4—131no—
1059C2×C22⋊C4—264no—
1060C2×C22⋊C4C22×D1311yescharacteristic
1061C2×C22⋊C4C22×D1311yescharacteristic
1062C2×C22⋊C4C22×D1311yescharacteristic
1063C2×C22⋊C4C22×D1311yescharacteristic
1064C2×C22⋊C4C22×D1311yescharacteristic
1065C2×C22⋊C4C22×D1311yescharacteristic
1066C2×C22⋊C4C22×D1311yescharacteristic
1067C2×C22⋊C4C22×D1311yescharacteristic
1068C2×C22⋊C4C22×D1311yescharacteristic
1069C2×C22⋊C4C22×D1311yescharacteristic
1070C2×C22⋊C4C22×D1311yescharacteristic
1071C2×C22⋊C4C22×D1311yescharacteristic
1072C2×C22⋊C4C22×D1311yescharacteristic
1073C2×C22⋊C4C22×D1311yescharacteristic
1074C2×C22⋊C4C22×D1311yescharacteristic
1075C2×C22⋊C4C22×D1311yescharacteristic
1076C2×C42—131no—
1077C2×C42—131no—
1078C2×C42—131no—
1079C2×C42—131no—
1080C2×C42—131no—
1081C2×C42—131no—
1082C2×C42—131no—
1083C2×C42—131no—
1084C2×C42—131no—
1085C2×C42—131no—
1086C2×C42—131no—
1087C2×C42—131no—
1088C2×C42—131no—
1089C2×C42—131no—
1090C2×C42—131no—
1091C2×C42—131no—
1092C2×C42—131no—
1093C2×C42—131no—
1094C2×C42—131no—
1095C2×C42—522no—
1096C2×C42—522no—
1097C2×C42—522no—
1098C2×C42C22×D1311yescharacteristic
1099#95—131no—
1100#95—131no—
1101#95—131no—
1102#95—131no—
1103#95—131no—
1104#95—131no—
1105#95—131no—
1106#95—131no—
1107#95—131no—
1108#95—131no—
1109#95—131no—
1110#95—131no—
1111#95—131no—
1112#95—131no—
1113#95—131no—
1114#95—131no—
1115#95—131no—
1116#95—131no—
1117#95—131no—
1118#95—131no—
1119#95—131no—
1120#95—131no—
1121#95—131no—
1122#95—131no—
1123#95—131no—
1124#95—131no—
1125#95—131no—
1126#95—131no—
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#95C22×D1311yescharacteristic
1138#95C22×D1311yescharacteristic
1139#95C22×D1311yescharacteristic
1140#95C22×D1311yescharacteristic
1141#95C22×D1311yescharacteristic
1142#95C22×D1311yescharacteristic
1143C2×C13—24no—
1144C2×C13—42no—
1145C2×C13—42no—
1146C2×C13—42no—
1147C2×C13C2×#52911yescharacteristic
1148C2×C13#344411yescharacteristic
1149C2×C13C2×#53811yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152C2×C13#348111yescharacteristic
1153C2×C13#348111yescharacteristic
1154D13—81no—
1155C24—22no—
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—41no—
1161C24—41no—
1162C24—131no—
1163C24C23×D1311yescharacteristic
1164C24C23×D1311yescharacteristic
1165C24C23×D1311yescharacteristic
1166C24C23×D1311yescharacteristic
1167C2×Q8—262no—
1168C2×Q8—262no—
1169C2×Q8—521no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—262no—
1179C2×D4—262no—
1180C2×D4—262no—
1181C2×D4—262no—
1182C2×D4—262no—
1183C2×D4—262no—
1184C2×D4—262no—
1185C2×D4—262no—
1186C2×D4—262no—
1187C2×D4—521no—
1188C2×D4—521no—
1189C2×D4—521no—
1190C2×D4#612914yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—131no—
1201C22×C4—134no—
1202C22×C4—131no—
1203C22×C4—131no—
1204C22×C4—131no—
1205C22×C4—131no—
1206C22×C4—131no—
1207C22×C4—131no—
1208C22×C4—131no—
1209C22×C4—131no—
1210C22×C4—131no—
1211C22×C4—131no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—262no—
1217C22×C4—262no—
1218C22×C4—262no—
1219C22×C4—262no—
1220C22×C4—262no—
1221C22×C4—262no—
1222C22×C4—262no—
1223C22×C4—262no—
1224C22×C4—262no—
1225C22×C4—262no—
1226C22×C4—262no—
1227C22×C4—262no—
1228C22×C4—262no—
1229C22×C4—262no—
1230C22×C4—262no—
1231C22×C4—262no—
1232C22×C4—262no—
1233C22×C4—262no—
1234C22×C4—262no—
1235C22×C4—262no—
1236C22×C4—262no—
1237C22×C4—262no—
1238C22×C4—262no—
1239C22×C4—521no—
1240C22×C4—521no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4—5216no—
1249C22×C4C23×D1311yescharacteristic
1250C22×C4C23×D1311yescharacteristic
1251C22×C4C23×D1311yescharacteristic
1252C22×C4C23×D1311yescharacteristic
1253C22×C4C23×D1311yescharacteristic
1254C22×C4C23×D1311yescharacteristic
1255C22×C4C23×D1311yescharacteristic
1256C22×C4C23×D1311yescharacteristic
1257C22×C4C23×D1311yescharacteristic
1258C22×C4C23×D1311yescharacteristic
1259C22×C4C23×D1311yescharacteristic
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—262no—
1266C4⋊C4—262no—
1267C4⋊C4—262no—
1268C4⋊C4—262no—
1269C4⋊C4—262no—
1270C4⋊C4—262no—
1271C4⋊C4—262no—
1272C4⋊C4—262no—
1273C4⋊C4—262no—
1274C4⋊C4—262no—
1275C4⋊C4—262no—
1276C4⋊C4—521no—
1277C4⋊C4—521no—
1278C4⋊C4—521no—
1279C4⋊C4—521no—
1280C4⋊C4—521no—
1281C4⋊C4—521no—
1282C4⋊C4—521no—
1283C4⋊C4—521no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—134no—
1300C22⋊C4—134no—
1301C22⋊C4—262no—
1302C22⋊C4—262no—
1303C22⋊C4—262no—
1304C22⋊C4—262no—
1305C22⋊C4—262no—
1306C22⋊C4—262no—
1307C22⋊C4—262no—
1308C22⋊C4—262no—
1309C22⋊C4—262no—
1310C22⋊C4—262no—
1311C22⋊C4—262no—
1312C22⋊C4—262no—
1313C22⋊C4—262no—
1314C22⋊C4—262no—
1315C22⋊C4—262no—
1316C22⋊C4—262no—
1317C22⋊C4—262no—
1318C22⋊C4—521no—
1319C22⋊C4—521no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4—521no—
1327C22⋊C4#612914yes—
1328C42—22no—
1329C42—262no—
1330C42—262no—
1331C42—262no—
1332C42—262no—
1333C42—262no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—521no—
1343C42—521no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—44no—
1373C23—44no—
1374C23—44no—
1375C23—44no—
1376C23—44no—
1377C23—44no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—261no—
1382C23—261no—
1383C23—261no—
1384C23—261no—
1385C23C2×#612912yes—
1386C23C2×#612912yes—
1387C23C2×#612912yes—
1388C23#41×D1312yes—
1389C23#41×D1312yes—
1390C23#41×D1312yes—
1391C23C24×D1311yescharacteristic
1392Q8—524no—
1393D4—28no—
1394D4—44no—
1395D4—44no—
1396D4—524no—
1397D4—524no—
1398D4—524no—
1399D4—524no—
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—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—132no—
1434C2×C4—132no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—268no—
1442C2×C4—261no—
1443C2×C4—261no—
1444C2×C4—261no—
1445C2×C4—261no—
1446C2×C4—261no—
1447C2×C4—261no—
1448C2×C4—261no—
1449C2×C4—261no—
1450C2×C4—261no—
1451C2×C4—261no—
1452C2×C4—261no—
1453C2×C4—261no—
1454C2×C4—261no—
1455C2×C4—261no—
1456C2×C4—261no—
1457C2×C4—261no—
1458C2×C4—261no—
1459C2×C4—261no—
1460C2×C4—261no—
1461C2×C4—261no—
1462C2×C4—261no—
1463C2×C4—261no—
1464C2×C4—261no—
1465C2×C4—261no—
1466C2×C4—261no—
1467C2×C4—261no—
1468C2×C4—261no—
1469C2×C4—261no—
1470C2×C4—261no—
1471C2×C4—261no—
1472C2×C4—261no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4—524no—
1486C2×C4—524no—
1487C2×C4—524no—
1488C2×C4—524no—
1489C2×C4C2×#612912yes—
1490C2×C4C2×#612912yes—
1491C2×C4C2×#612912yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—416no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22#1171935414yes—
1528C22C22×#612911yescharacteristic
1529C22C22×#612911yescharacteristic
1530C22C2×#41×D1311yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22D13×H(5,𝔽2)11yescharacteristic
1534C22D13×H(5,𝔽2)11yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—134no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—262no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4—521no—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—1041no—
1566C2C2×#1171935411yescharacteristic
1567C2#1312812811yescharacteristic
1568C2D13×#53811yescharacteristic
1569C2#1312843711yescharacteristic
1570C2#1312843911yescharacteristic
1571C2#1312844111yescharacteristic
1572C2#1312844111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2418C2
prime radical#13118376C2
hypercenter#2418D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. #13120388C2semidirect
2. #13120361C2semidirect
3. #13120280C2semidirect
4. #13120253C2semidirect
5. #13120171C2semidirect
6. #13120144C2semidirect
7. #13119958C2semidirect
8. #13119931C2semidirect
9. #13119392C2semidirect
10. #13119339C2semidirect
11. #13119081C2semidirect
12. #13118956C2semidirect
13. #13118664C2semidirect
14. #13118580C2semidirect
16. #13118133C2semidirect
17. #13118124C2semidirect
18. #13118101C2semidirect
19. #13118075C2semidirect
20. #13117390C2semidirect
21. #13117377C2semidirect
22. #13117364C2semidirect
23. #123×Dic13C2semidirect
24. #13117346C2semidirect
25. #13117346C2semidirect
26. #120×Dic13C2semidirect
27. #13117335C2semidirect
28. #13117272C2semidirect
29. C4×D4×Dic13C2semidirect
30. C2×C22⋊C4×Dic13C2semidirect
31. C13×#2418C2semidirect
48. C22×C4×Dic13C22semidirect
49. C2×#88146C22semidirect
50. C2×#88141C22semidirect
55. C2×#88135C22semidirect
77. #11718874C22semidirect
78. #11718872C22semidirect
80. C4×C22⋊Dic13C22semidirect
83. #11718654C22semidirect
84. #11718654C22semidirect
85. #11718651C22semidirect
86. #11718651C22semidirect
87. #11718647C22semidirect
88. #11718644C22semidirect
89. #11718643C22semidirect
90. #11718643C22semidirect
91. #11718642C22semidirect
92. #11718642C22semidirect
93. #11718639C22semidirect
94. #11718639C22semidirect
95. C4⋊C4×Dic13C22semidirect
96. C4⋊C4×Dic13C22semidirect
97. C4⋊C4×Dic13C22semidirect
98. C4⋊C4×Dic13C22semidirect
99. #11718635C22semidirect
100. #11718634C22semidirect
104. #11718620C22semidirect
111. #11718618C22semidirect
116. #11718613C22semidirect
123. #11718611C22semidirect
126. #11718609C22semidirect
128. #11718608C22semidirect
138. #11718605C22semidirect
140. #11718603C22semidirect
156. C22⋊C4×Dic13C22semidirect
157. C22⋊C4×Dic13C22semidirect
158. C22⋊C4×Dic13C22semidirect
159. #11718601C22semidirect
160. C4×C4⋊Dic13C22semidirect
161. #11718594C22semidirect
162. C42×Dic13C22semidirect
163. #11718335C22semidirect
164. #11718331C22semidirect
165. #11718331C22semidirect
166. #11718331C22semidirect
167. #11718327C22semidirect
168. #11718327C22semidirect
169. C13⋊#401C22semidirect
170. #11718322C22semidirect
171. #11718321C22semidirect
172. #11718320C22semidirect
173. #11718319C22semidirect
174. #11718316C22semidirect
175. #11718315C22semidirect
176. #11718313C22semidirect
177. #11718313C22semidirect
178. #11718312C22semidirect
179. #11718311C22semidirect
180. #11718310C22semidirect
181. #11718310C22semidirect
182. #11718310C22semidirect
183. #11718309C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
578. #2418D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203882
#131203612
#131202802
#131202532
#131201712
#131201442
#131199582
#131199312
#131193922
#131193392
#131190812
#131189562
#131186642
#131185802
#131183762
#131181332
#131181242
#131181012
#131180752
#131173902
#131173772
#131173642
#123×Dic132
#131173462
#120×Dic132
#131173352
#131172722
C4×D4×Dic132
C2×C22⋊C4×Dic132
C13×#24182
#3495913