Finite Group Databasebeta

← #16035076

Subgroups — #16035076

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#13120384C211yesmaximal, characteristic, complemented
2#13120354C211yesmaximal, characteristic, complemented
3#13120284C211yesmaximal, characteristic, complemented
4#13120254C211yesmaximal, characteristic, complemented
5#13120167C211yesmaximal, characteristic, complemented
6#13120137C211yesmaximal, characteristic, complemented
7#13119962C211yesmaximal, characteristic, complemented
8#13119932C211yesmaximal, characteristic, complemented
9#13119402C211yesmaximal, characteristic, complemented
10#13119335C211yesmaximal, characteristic, complemented
11#13119079C211yesmaximal, characteristic, complemented
12#13118959C211yesmaximal, characteristic, complemented
13#13118666C211yesmaximal, characteristic, complemented
14#13118584C211yesmaximal, characteristic, complemented
15#13118376C211yesmaximal, characteristic
16#13118294C211yesmaximal, characteristic, complemented
17#13118136C211yesmaximal, characteristic, complemented
18#13118120C211yesmaximal, characteristic, complemented
19#13118097C211yesmaximal, characteristic, complemented
20#13118074C211yesmaximal, characteristic, complemented
21C4×#88133C211yesmaximal, characteristic, complemented
22C4×#88139C211yesmaximal, characteristic, complemented
23C4×#88132C211yesmaximal, characteristic, complemented
24C4×#88189C211yesmaximal, characteristic, complemented
25C4×#88193C211yesmaximal, characteristic, complemented
26C4×#88193C211yesmaximal, characteristic, complemented
27C4×#88207C211yesmaximal, characteristic, complemented
28#13117275C211yesmaximal, characteristic, complemented
29C4×D4×Dic13C211yesmaximal, characteristic, complemented
30C2×C4×C22⋊Dic13C211yesmaximal, characteristic, complemented
31C4×C13×#120C211yesmaximal, characteristic, complemented
32C24×C4×C13C2211yescharacteristic
33C2×C13×#120C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C4×D4×C13C2211yescharacteristic
37C2×#88207C2211yescharacteristic
38C22×C22⋊Dic13C2211yescharacteristic
39C22×C22⋊Dic13C2211yescharacteristic
40C2×#88193C2211yescharacteristic
41C2×#88193C2211yescharacteristic
42C2×#88189C2211yescharacteristic
43C2×D4×Dic13C2211yescharacteristic
44C2×D4×Dic13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic, complemented
49C22×C4×Dic13C2211yescharacteristic
50C22×C4×Dic13C2211yescharacteristic
51C22×C4×Dic13C2211yescharacteristic, complemented
52C2×#88139C2211yescharacteristic
53C2×#88133C2211yescharacteristic
54C2×#88132C2211yescharacteristic
55C2×#88126C2211yescharacteristic, complemented
56C2×C4×Dic26C2211yescharacteristic, complemented
57C13×#386C2211yescharacteristic
58C13×#386C2211yescharacteristic
59C13×#386C2211yescharacteristic
60C13×#385C2211yescharacteristic
61C13×#385C2211yescharacteristic
62C13×#385C2211yescharacteristic
63C13×#379C2211yescharacteristic
64C4×C13×C22⋊C4C2211yescharacteristic
65C4×C13×C22⋊C4C2211yescharacteristic
66C4×C13×C22⋊C4C2211yescharacteristic
67#11718908C2211yescharacteristic
68#11718884C2211yescharacteristic
69#11718883C2211yescharacteristic
70#11718883C2211yescharacteristic
71#11718883C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic
74#11718881C2211yescharacteristic
75#11718874C2211yescharacteristic
76#11718874C2211yescharacteristic
77#11718874C2211yescharacteristic
78#11718871C2211yescharacteristic
79#11718871C2211yescharacteristic
80#11718871C2211yescharacteristic
81C4×C22⋊Dic13C2211yescharacteristic
82C4×C22⋊Dic13C2211yescharacteristic
83C4×C22⋊Dic13C2211yescharacteristic
84C4×C22⋊Dic13C2211yescharacteristic
85C4×C22⋊Dic13C2211yescharacteristic
86C4×C22⋊Dic13C2211yescharacteristic
87C4×C22⋊Dic13C2211yescharacteristic
88C4×C22⋊Dic13C2211yescharacteristic
89C4×C22⋊Dic13C2211yescharacteristic
90C4×C22⋊Dic13C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic
92C4×C22⋊Dic13C2211yescharacteristic, complemented
93C4×C22⋊Dic13C2211yescharacteristic, complemented
94C2×#88071C2211yescharacteristic
95C2×#88071C2211yescharacteristic
96#11718654C2211yescharacteristic, complemented
97#11718651C2211yescharacteristic, complemented
98#11718651C2211yescharacteristic, complemented
99#11718643C2211yescharacteristic, complemented
100#11718643C2211yescharacteristic, complemented
101#11718641C2211yescharacteristic, complemented
102#11718639C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104C4⋊C4×Dic13C2211yescharacteristic, complemented
105C4⋊C4×Dic13C2211yescharacteristic, complemented
106#11718633C2211yescharacteristic, complemented
107#11718633C2211yescharacteristic, complemented
108#11718622C2211yescharacteristic
109#11718622C2211yescharacteristic
110#11718622C2211yescharacteristic, complemented
111#11718620C2211yescharacteristic
112#11718619C2211yescharacteristic
113#11718619C2211yescharacteristic
114#11718619C2211yescharacteristic
115#11718619C2211yescharacteristic, complemented
116#11718618C2211yescharacteristic
117#11718618C2211yescharacteristic
118#11718618C2211yescharacteristic, complemented
119#11718614C2211yescharacteristic
120#11718614C2211yescharacteristic
121#11718614C2211yescharacteristic, complemented
122#11718613C2211yescharacteristic
123#11718613C2211yescharacteristic
124#11718613C2211yescharacteristic
125#11718612C2211yescharacteristic
126#11718612C2211yescharacteristic
127#11718611C2211yescharacteristic
128#11718610C2211yescharacteristic
129#11718609C2211yescharacteristic
130#11718609C2211yescharacteristic
131#11718609C2211yescharacteristic, complemented
132#11718608C2211yescharacteristic
133#11718608C2211yescharacteristic, complemented
134#11718607C2211yescharacteristic
135#11718607C2211yescharacteristic
136#11718607C2211yescharacteristic
137#11718607C2211yescharacteristic, complemented
138#11718606C2211yescharacteristic
139#11718606C2211yescharacteristic
140#11718606C2211yescharacteristic, complemented
141#11718605C2211yescharacteristic
142#11718605C2211yescharacteristic
143#11718605C2211yescharacteristic
144#11718605C2211yescharacteristic
145#11718604C2211yescharacteristic, complemented
146#11718603C2211yescharacteristic
147#11718603C2211yescharacteristic
148#11718603C2211yescharacteristic, complemented
149C22⋊C4×Dic13C2211yescharacteristic
150C22⋊C4×Dic13C2211yescharacteristic
151C22⋊C4×Dic13C2211yescharacteristic, complemented
152C22⋊C4×Dic13C2211yescharacteristic, complemented
153C4×#6103C2211yescharacteristic, complemented
154C4×#6103C2211yescharacteristic, complemented
155C4×C4⋊Dic13C2211yescharacteristic, complemented
156C4×C4⋊Dic13C2211yescharacteristic, complemented
157#11718593C2211yescharacteristic, complemented
158C4×#6101C2211yescharacteristic, complemented
159C4×#6101C2211yescharacteristic, complemented
160C4×#6101C2211yescharacteristic, complemented
161C4×#6101C2211yescharacteristic, complemented
162C42×Dic13C2211yescharacteristic, complemented
163#11718336C2211yescharacteristic, complemented
164#11718335C2211yescharacteristic, complemented
165#11718331C2211yescharacteristic, complemented
166#11718330C2211yescharacteristic, complemented
167#11718330C2211yescharacteristic, complemented
168#11718330C2211yescharacteristic, complemented
169C13⋊#401C2211yescharacteristic, complemented
170#11718321C2211yescharacteristic, complemented
171#11718320C2211yescharacteristic, complemented
172#11718319C2211yescharacteristic, complemented
173#11718319C2211yescharacteristic, complemented
174#11718318C2211yescharacteristic, complemented
175#11718316C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718315C2211yescharacteristic, complemented
178#11718314C2211yescharacteristic, complemented
179#11718313C2211yescharacteristic, complemented
180#11718313C2211yescharacteristic, complemented
181#11718313C2211yescharacteristic, complemented
182#11718312C2211yescharacteristic, complemented
183#11718311C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718307C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C25×C13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13—24no—
192C23×C4×C13—42no—
193C23×C4×C13—42no—
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C23×C4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C23×Dic13C2311yescharacteristic
206C23×Dic13C2311yescharacteristic
207C23×Dic13C2311yescharacteristic
208C23×Dic13C2311yescharacteristic
209C23×Dic13C2311yescharacteristic
210C23×Dic13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#120—24no—
214C4×D4×C13—24no—
215C4×D4×C13—42no—
216C4×D4×C13—42no—
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C22⋊C4C2311yescharacteristic
221C2×C13×C22⋊C4C2311yescharacteristic
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×C42×C13C2311yescharacteristic
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235#88207—24no—
236C2×C22⋊Dic13—24no—
237C2×C22⋊Dic13—24no—
238C2×C22⋊Dic13C2311yescharacteristic
239C2×C22⋊Dic13C2311yescharacteristic
240C2×C22⋊Dic13C2311yescharacteristic
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
259C2×C22⋊Dic13C2311yescharacteristic
260#88193—24no—
261#88193—24no—
262#88189—24no—
263D4×Dic13—24no—
264D4×Dic13—24no—
265C4×C22⋊D13—24no—
266C4×C22⋊D13—42no—
267C4×C22⋊D13—42no—
268C4×C22⋊D13—42no—
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×C4⋊Dic13C2311yescharacteristic
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×C4×Dic13—42no—
301C2×C4×Dic13—42no—
302C2×C4×Dic13—42no—
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
317C2×C4×Dic13C2311yescharacteristic
318C2×C4×Dic13C2311yescharacteristic
319C2×C4×Dic13C2311yescharacteristic
320#88139—24no—
321#88133—24no—
322#88132—24no—
323#88126—42no—
324C4×Dic26—42no—
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—22no—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—22no—
401C22×C4×C13—22no—
402C22×C4×C13—22no—
403C22×C4×C13—22no—
404C22×C4×C13—22no—
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—416no—
412C22×C4×C13#4114yes—
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
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—22no—
430C2×C22⋊D13—22no—
431C2×C22⋊D13—22no—
432C2×C22⋊D13—22no—
433C2×C22⋊D13—41no—
434C2×C22⋊D13—41no—
435C2×C22⋊D13—41no—
436C22×Dic13—22no—
437C22×Dic13—22no—
438C22×Dic13—22no—
439C22×Dic13—22no—
440C22×Dic13—22no—
441C22×Dic13—22no—
442C22×Dic13—22no—
443C22×Dic13—22no—
444C22×Dic13—22no—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—41no—
449C22×Dic13—41no—
450C22×Dic13—41no—
451C22×Dic13—41no—
452C22×Dic13—41no—
453C22×Dic13—41no—
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—41no—
477C13×C4⋊C4—41no—
478C13×C22⋊C4—22no—
479C13×C22⋊C4—22no—
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—41no—
487C13×C22⋊C4—41no—
488C13×C22⋊C4—41no—
489C13×C22⋊C4—41no—
490C42×C13—22no—
491C42×C13—22no—
492C42×C13—22no—
493C22⋊Dic13—22no—
494C22⋊Dic13—22no—
495C22⋊Dic13—22no—
496C22⋊Dic13—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#4114yes—
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—
530#6101—22no—
531#6101—22no—
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—
544#6101—41no—
545#6101—41no—
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#2418—131no—
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×#120D1311yescharacteristic, complemented
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—28no—
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—44no—
670C2×C4×C13—44no—
671C2×C4×C13—44no—
672C2×C4×C13—44no—
673C2×C4×C13—44no—
674C2×C4×C13—44no—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13H(5,𝔽2)12yes—
679C2×C4×C13H(5,𝔽2)12yes—
680C22⋊D13—44no—
681C22⋊D13—44no—
682C22⋊D13—44no—
683C22⋊D13—44no—
684C2×Dic13—21no—
685C2×Dic13—21no—
686C2×Dic13—21no—
687C2×Dic13—21no—
688C2×Dic13—21no—
689C2×Dic13—21no—
690C2×Dic13—21no—
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—21no—
719C2×Dic13—21no—
720C2×Dic13—21no—
721C2×Dic13—21no—
722C2×Dic13—21no—
723C2×Dic13—44no—
724C2×Dic13—44no—
725C2×Dic13—44no—
726C2×Dic13—44no—
727C2×Dic13—44no—
728C2×Dic13—44no—
729C2×Dic13C2×#4112yes—
730C2×Dic13C2×#4112yes—
731C2×Dic13C2×#4112yes—
732C2×Dic13C2×#4112yes—
733C2×Dic13C2×#4112yes—
734C2×Dic13C2×#4112yes—
735C4×D13—44no—
736Dic26—44no—
737C24×C4C2×D1311yescharacteristic
738C2×#126—131no—
739C2×#124—131no—
740C2×#123—131no—
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×D4C2×D1311yescharacteristic
754C2×C4×D4C2×D1311yescharacteristic
755C2×C4×D4C2×D1311yescharacteristic
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
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#399—131no—
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#397—131no—
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#394—131no—
790#394—131no—
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#388—131no—
816#388—131no—
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#386C2×D1311yescharacteristic
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#385C2×D1311yescharacteristic
848#385C2×D1311yescharacteristic
849#385C2×D1311yescharacteristic
850#383—131no—
851#382—131no—
852#381—131no—
853#380—131no—
854#380—131no—
855#380—131no—
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⋊C4C2×D1311yescharacteristic
886C4×C22⋊C4C2×D1311yescharacteristic
887C4×C22⋊C4C2×D1311yescharacteristic
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—41no—
938C4×C13—41no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13#53814yes—
946Dic13—22no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—22no—
952Dic13—41no—
953Dic13—41no—
954Dic13—41no—
955Dic13—41no—
956Dic13—41no—
957Dic13—41no—
958Dic13—41no—
959Dic13—41no—
960Dic13—41no—
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—24no—
971C23×C4—42no—
972C23×C4—42no—
973C23×C4—131no—
974C23×C4—131no—
975C23×C4—131no—
976C23×C4—131no—
977C23×C4—131no—
978C23×C4—131no—
979C23×C4—131no—
980C23×C4C22×D1311yescharacteristic
981C23×C4C22×D1311yescharacteristic
982C23×C4C22×D1311yescharacteristic
983C23×C4C22×D1311yescharacteristic
984C23×C4C22×D1311yescharacteristic
985C23×C4C22×D1311yescharacteristic
986C23×C4C22×D1311yescharacteristic
987#126—264no—
988#124—264no—
989#123—264no—
990C22⋊Q8—264no—
991#121—264no—
992#121—264no—
993#120—24no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—24no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—264no—
1000C4×D4—264no—
1001C4×D4—264no—
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⋊C4—131no—
1026C2×C4⋊C4—131no—
1027C2×C4⋊C4C22×D1311yescharacteristic
1028C2×C4⋊C4C22×D1311yescharacteristic
1029C2×C4⋊C4C22×D1311yescharacteristic
1030C2×C22⋊C4—131no—
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—131no—
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—264no—
1063C2×C22⋊C4—264no—
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—522no—
1094C2×C42—522no—
1095C2×C42—522no—
1096C2×C42C22×D1311yescharacteristic
1097C2×C42C22×D1311yescharacteristic
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#612714yes—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—416no—
1212C22×C4—131no—
1213C22×C4—131no—
1214C22×C4—131no—
1215C22×C4—131no—
1216C22×C4—131no—
1217C22×C4—131no—
1218C22×C4—131no—
1219C22×C4—131no—
1220C22×C4—131no—
1221C22×C4—131no—
1222C22×C4—131no—
1223C22×C4—131no—
1224C22×C4—131no—
1225C22×C4—131no—
1226C22×C4—131no—
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—262no—
1240C22×C4—262no—
1241C22×C4—262no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4—521no—
1248C22×C4#612914yes—
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—41no—
1262C4⋊C4—41no—
1263C4⋊C4—262no—
1264C4⋊C4—262no—
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—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—134no—
1297C22⋊C4—134no—
1298C22⋊C4—134no—
1299C22⋊C4—262no—
1300C22⋊C4—262no—
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—262no—
1319C22⋊C4—262no—
1320C22⋊C4—521no—
1321C22⋊C4—521no—
1322C22⋊C4—521no—
1323C22⋊C4—521no—
1324C22⋊C4—521no—
1325C22⋊C4—521no—
1326C22⋊C4—521no—
1327C22⋊C4—521no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
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×#612712yes—
1386C23C2×#612712yes—
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—28no—
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—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—44no—
1433C2×C4—44no—
1434C2×C4—44no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
1438C2×C4—132no—
1439C2×C4—132no—
1440C2×C4—132no—
1441C2×C4—261no—
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—261no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4—524no—
1486C2×C4—524no—
1487C2×C4C2×#612712yes—
1488C2×C4C2×#612912yes—
1489C2×C4C2×#612912yes—
1490C2×C4#8825112yes—
1491C2×C4#8825112yes—
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#1171924314yes—
1528C22C22×#612711yescharacteristic
1529C22C22×#612911yescharacteristic
1530C22C2×#8825111yescharacteristic
1531C22C2×#8825111yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22C2×#41×D1311yescharacteristic
1534C22C2×#41×D1311yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—262no—
1546C4—262no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—262no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4#1171929814yes—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—1041no—
1566C2C2×#1171924311yescharacteristic
1567C2#1312812811yescharacteristic
1568C2C2×#1171929811yescharacteristic
1569C2#1312843811yescharacteristic
1570C2#1312843811yescharacteristic
1571C2#1312844011yescharacteristic
1572C2#1312844011yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC4×C13×#120C2
prime radical#13118376C2
hypercenterC4×#120D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. #13120384C2semidirect
2. #13120354C2semidirect
3. #13120284C2semidirect
4. #13120254C2semidirect
5. #13120167C2semidirect
6. #13120137C2semidirect
7. #13119962C2semidirect
8. #13119932C2semidirect
9. #13119402C2semidirect
10. #13119335C2semidirect
11. #13119079C2semidirect
12. #13118959C2semidirect
13. #13118666C2semidirect
14. #13118584C2semidirect
16. #13118294C2semidirect
17. #13118136C2semidirect
18. #13118120C2semidirect
19. #13118097C2semidirect
20. #13118074C2semidirect
21. C4×#88133C2semidirect
22. C4×#88139C2semidirect
23. C4×#88132C2semidirect
24. C4×#88189C2semidirect
25. C4×#88193C2semidirect
26. C4×#88193C2semidirect
27. C4×#88207C2semidirect
28. #13117275C2semidirect
29. C4×D4×Dic13C2semidirect
30. C2×C4×C22⋊Dic13C2semidirect
31. C4×C13×#120C2semidirect
48. C2×C4×C22⋊D13C22semidirect
51. C22×C4×Dic13C22semidirect
55. C2×#88126C22semidirect
56. C2×C4×Dic26C22semidirect
92. C4×C22⋊Dic13C22semidirect
93. C4×C22⋊Dic13C22semidirect
96. #11718654C22semidirect
97. #11718651C22semidirect
98. #11718651C22semidirect
99. #11718643C22semidirect
100. #11718643C22semidirect
101. #11718641C22semidirect
102. #11718639C22semidirect
103. #11718639C22semidirect
104. C4⋊C4×Dic13C22semidirect
105. C4⋊C4×Dic13C22semidirect
106. #11718633C22semidirect
107. #11718633C22semidirect
110. #11718622C22semidirect
115. #11718619C22semidirect
118. #11718618C22semidirect
121. #11718614C22semidirect
131. #11718609C22semidirect
133. #11718608C22semidirect
137. #11718607C22semidirect
140. #11718606C22semidirect
145. #11718604C22semidirect
148. #11718603C22semidirect
151. C22⋊C4×Dic13C22semidirect
152. C22⋊C4×Dic13C22semidirect
153. C4×#6103C22semidirect
154. C4×#6103C22semidirect
155. C4×C4⋊Dic13C22semidirect
156. C4×C4⋊Dic13C22semidirect
157. #11718593C22semidirect
158. C4×#6101C22semidirect
159. C4×#6101C22semidirect
160. C4×#6101C22semidirect
161. C4×#6101C22semidirect
162. C42×Dic13C22semidirect
163. #11718336C22semidirect
164. #11718335C22semidirect
165. #11718331C22semidirect
166. #11718330C22semidirect
167. #11718330C22semidirect
168. #11718330C22semidirect
169. C13⋊#401C22semidirect
170. #11718321C22semidirect
171. #11718320C22semidirect
172. #11718319C22semidirect
173. #11718319C22semidirect
174. #11718318C22semidirect
175. #11718316C22semidirect
176. #11718316C22semidirect
177. #11718315C22semidirect
178. #11718314C22semidirect
179. #11718313C22semidirect
180. #11718313C22semidirect
181. #11718313C22semidirect
182. #11718312C22semidirect
183. #11718311C22semidirect
184. #11718308C22semidirect
185. #11718307C22semidirect
186. #11718307C22semidirect
590. C4×#120D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203842
#131203542
#131202842
#131202542
#131201672
#131201372
#131199622
#131199322
#131194022
#131193352
#131190792
#131189592
#131186662
#131185842
#131183762
#131182942
#131181362
#131181202
#131180972
#131180742
C4×#881332
C4×#881392
C4×#881322
C4×#881892
C4×#881932
C4×#882072
#131172752
C4×D4×Dic132
C2×C4×C22⋊Dic132
C4×C13×#1202
#3495913