Finite Group Databasebeta

← #16035092

Subgroups — #16035092

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#13120392C211yesmaximal, characteristic, complemented
2#13120362C211yesmaximal, characteristic, complemented
3#13120292C211yesmaximal, characteristic, complemented
4#13120262C211yesmaximal, characteristic, complemented
5#13120175C211yesmaximal, characteristic, complemented
6#13120145C211yesmaximal, characteristic, complemented
7#13119970C211yesmaximal, characteristic, complemented
8#13119940C211yesmaximal, characteristic, complemented
9#13119400C211yesmaximal, characteristic, complemented
10#13119333C211yesmaximal, characteristic, complemented
11#13119087C211yesmaximal, characteristic, complemented
12#13118967C211yesmaximal, characteristic, complemented
13#13118664C211yesmaximal, characteristic, complemented
14#13118582C211yesmaximal, characteristic, complemented
15#13118378C211yesmaximal, characteristic
16#13118296C211yesmaximal, characteristic, complemented
17#13118137C211yesmaximal, characteristic, complemented
18#13118123C211yesmaximal, characteristic, complemented
19#13118096C211yesmaximal, characteristic, complemented
20#13118078C211yesmaximal, characteristic, complemented
21C4×#88152C211yesmaximal, characteristic, complemented
22C4×#88139C211yesmaximal, characteristic, complemented
23C4×#88178C211yesmaximal, characteristic, complemented
24C4×#88140C211yesmaximal, characteristic, complemented
25C4×#88193C211yesmaximal, characteristic, complemented
26C4×#88191C211yesmaximal, characteristic, complemented
27C4×#88191C211yesmaximal, characteristic, complemented
28#13117281C211yesmaximal, characteristic, complemented
29C4×D4×Dic13C211yesmaximal, characteristic, complemented
30C2×C4×#6103C211yesmaximal, characteristic, complemented
31C4×C13×#121C211yesmaximal, characteristic, complemented
32C23×C4×D13C2211yescharacteristic
33C2×C13×#121C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic
35C2×C4×D4×C13C2211yescharacteristic
36C2×C4×D4×C13C2211yescharacteristic, complemented
37C22×C42×C13C2211yescharacteristic
38C2×#88193C2211yescharacteristic
39C2×#88191C2211yescharacteristic
40C2×#88191C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic
42C2×D4×Dic13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C22×#6103C2211yescharacteristic
48C22×#6103C2211yescharacteristic
49C2×#88180C2211yescharacteristic, complemented
50C2×#88178C2211yescharacteristic
51C22×C4×Dic13C2211yescharacteristic
52C22×C4×Dic13C2211yescharacteristic, complemented
53C2×#88152C2211yescharacteristic
54C2×#88140C2211yescharacteristic
55C2×#88139C2211yescharacteristic
56C2×C4×Dic26C2211yescharacteristic, complemented
57C13×#390C2211yescharacteristic, complemented
58C13×#389C2211yescharacteristic, complemented
59C13×#388C2211yescharacteristic, complemented
60C13×#388C2211yescharacteristic, complemented
61C13×#386C2211yescharacteristic
62C13×#386C2211yescharacteristic
63C13×#380C2211yescharacteristic
64C4×C13×C4⋊C4C2211yescharacteristic, complemented
65C4×C13×C22⋊C4C2211yescharacteristic, complemented
66C4×C13×C22⋊C4C2211yescharacteristic, complemented
67#11718884C2211yescharacteristic
68#11718883C2211yescharacteristic, complemented
69#11718881C2211yescharacteristic
70#11718881C2211yescharacteristic
71#11718881C2211yescharacteristic
72#11718881C2211yescharacteristic
73#11718881C2211yescharacteristic, complemented
74#11718873C2211yescharacteristic
75#11718871C2211yescharacteristic
76#11718871C2211yescharacteristic
77C4×C22⋊Dic13C2211yescharacteristic
78C4×C22⋊Dic13C2211yescharacteristic
79C4×C22⋊Dic13C2211yescharacteristic, complemented
80C4×C22⋊Dic13C2211yescharacteristic, complemented
81C2×#88071C2211yescharacteristic
82C2×#88071C2211yescharacteristic
83#11718655C2211yescharacteristic
84#11718655C2211yescharacteristic
85#11718654C2211yescharacteristic
86#11718651C2211yescharacteristic
87#11718651C2211yescharacteristic
88#11718650C2211yescharacteristic
89#11718650C2211yescharacteristic
90#11718650C2211yescharacteristic
91#11718650C2211yescharacteristic
92#11718647C2211yescharacteristic, complemented
93#11718645C2211yescharacteristic, complemented
94#11718643C2211yescharacteristic, complemented
95#11718642C2211yescharacteristic, complemented
96#11718642C2211yescharacteristic, complemented
97#11718642C2211yescharacteristic, complemented
98#11718639C2211yescharacteristic, complemented
99C4⋊C4×Dic13C2211yescharacteristic, complemented
100C4⋊C4×Dic13C2211yescharacteristic, complemented
101#11718633C2211yescharacteristic, complemented
102#11718622C2211yescharacteristic
103#11718622C2211yescharacteristic
104#11718622C2211yescharacteristic
105#11718622C2211yescharacteristic
106#11718620C2211yescharacteristic
107#11718620C2211yescharacteristic
108#11718619C2211yescharacteristic
109#11718619C2211yescharacteristic
110#11718618C2211yescharacteristic
111#11718618C2211yescharacteristic
112#11718617C2211yescharacteristic
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718616C2211yescharacteristic
117#11718616C2211yescharacteristic
118#11718614C2211yescharacteristic, complemented
119#11718614C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718613C2211yescharacteristic, complemented
122#11718612C2211yescharacteristic, complemented
123#11718612C2211yescharacteristic, complemented
124#11718612C2211yescharacteristic, complemented
125#11718611C2211yescharacteristic
126#11718611C2211yescharacteristic
127#11718611C2211yescharacteristic, complemented
128#11718609C2211yescharacteristic, complemented
129#11718608C2211yescharacteristic, complemented
130#11718607C2211yescharacteristic
131#11718607C2211yescharacteristic
132#11718606C2211yescharacteristic, complemented
133#11718605C2211yescharacteristic, complemented
134#11718604C2211yescharacteristic, complemented
135#11718603C2211yescharacteristic, complemented
136C22⋊C4×Dic13C2211yescharacteristic
137C22⋊C4×Dic13C2211yescharacteristic
138C22⋊C4×Dic13C2211yescharacteristic, complemented
139C22⋊C4×Dic13C2211yescharacteristic, complemented
140C4×#6103C2211yescharacteristic
141C4×#6103C2211yescharacteristic
142C4×#6103C2211yescharacteristic
143C4×#6103C2211yescharacteristic
144C4×#6103C2211yescharacteristic
145C4×#6103C2211yescharacteristic
146C4×#6103C2211yescharacteristic
147C4×#6103C2211yescharacteristic
148C4×#6103C2211yescharacteristic
149C4×#6103C2211yescharacteristic
150C4×#6103C2211yescharacteristic
151C4×#6103C2211yescharacteristic
152C4×C4⋊Dic13C2211yescharacteristic, complemented
153C4×C4⋊Dic13C2211yescharacteristic, complemented
154C4×C4⋊Dic13C2211yescharacteristic, complemented
155#11718594C2211yescharacteristic, complemented
156#11718594C2211yescharacteristic, complemented
157#11718593C2211yescharacteristic, complemented
158C4×#6101C2211yescharacteristic, complemented
159C4×#6101C2211yescharacteristic, complemented
160C42×Dic13C2211yescharacteristic, complemented
161#11718590C2211yescharacteristic, complemented
162#11718589C2211yescharacteristic, complemented
163#11718338C2211yescharacteristic
164#11718336C2211yescharacteristic
165#11718336C2211yescharacteristic
166#11718335C2211yescharacteristic
167#11718335C2211yescharacteristic
168#11718334C2211yescharacteristic
169#11718331C2211yescharacteristic
170#11718331C2211yescharacteristic
171#11718331C2211yescharacteristic
172#11718331C2211yescharacteristic
173#11718330C2211yescharacteristic
174#11718330C2211yescharacteristic
175C13⋊#401C2211yescharacteristic, complemented
176#11718322C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718321C2211yescharacteristic, complemented
179#11718320C2211yescharacteristic, complemented
180#11718319C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718311C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×D4×C13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C23×Dic13C2311yescharacteristic
205C22×C4×D13—24no—
206C22×C4×D13—42no—
207C22×C4×D13—42no—
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#121—24no—
214C4×D4×C13—24no—
215C4×D4×C13—24no—
216C4×D4×C13—42no—
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊C4C2311yescharacteristic
221C2×C13×C4⋊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×C13—42no—
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2311yescharacteristic
235C2×C42×C13C2311yescharacteristic
236C2×C42×C13C2311yescharacteristic
237C2×C42×C13C2311yescharacteristic
238C2×C42×C13C2311yescharacteristic
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
253#88193—24no—
254#88191—24no—
255#88191—24no—
256D4×Dic13—24no—
257D4×Dic13—24no—
258C4×C22⋊D13—42no—
259C4×C22⋊D13—42no—
260C4×C22⋊D13—42no—
261C4×C22⋊D13—42no—
262C2×#6103—24no—
263C2×#6103—24no—
264C2×#6103C2311yescharacteristic
265C2×#6103C2311yescharacteristic
266C2×#6103C2311yescharacteristic
267C2×#6103C2311yescharacteristic
268C2×#6103C2311yescharacteristic
269C2×#6103C2311yescharacteristic
270C2×#6103C2311yescharacteristic
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
284#88180—42no—
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×C4⋊Dic13C2311yescharacteristic
294#88178—24no—
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×C4×Dic13—42no—
306C2×C4×Dic13—42no—
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
320C2×C4×Dic13C2311yescharacteristic
321#88152—24no—
322#88140—24no—
323#88139—24no—
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×C13C2411yescharacteristic
371C24×C13C2411yescharacteristic
372C24×C13C2411yescharacteristic
373C23×D13—22no—
374C23×D13—22no—
375C23×D13—22no—
376C23×D13—22no—
377C23×D13—22no—
378C23×D13—41no—
379C23×D13—41no—
380C23×D13C2411yescharacteristic
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—22no—
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—41no—
404C22×C4×C13—41no—
405C22×C4×C13#4114yes—
406C22×C4×C13C2411yescharacteristic
407C22×C4×C13C2411yescharacteristic
408C22×C4×C13C2411yescharacteristic
409C22×C4×C13C2411yescharacteristic
410C22×C4×C13C2411yescharacteristic
411C22×C4×C13C2411yescharacteristic
412C22×C4×C13C2411yescharacteristic
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C2×C22⋊D13—22no—
419C2×C22⋊D13—22no—
420C2×C22⋊D13—22no—
421C2×C22⋊D13—22no—
422C2×C22⋊D13—22no—
423C2×C22⋊D13—22no—
424C2×C22⋊D13—22no—
425C2×C22⋊D13—22no—
426C2×C22⋊D13—41no—
427C2×C22⋊D13—41no—
428C2×C22⋊D13—41no—
429C2×C22⋊D13—41no—
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—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13C2411yescharacteristic
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
459C2×C4×D13—22no—
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—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—416no—
472C2×Dic26—22no—
473C2×Dic26—22no—
474C2×Dic26—41no—
475C13×C4⋊C4—22no—
476C13×C4⋊C4—22no—
477C13×C4⋊C4—22no—
478C13×C4⋊C4—22no—
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—41no—
489C13×C22⋊C4—41no—
490C42×C13—22no—
491C42×C13—22no—
492C42×C13—22no—
493C42×C13—22no—
494C42×C13—41no—
495C42×C13—41no—
496C22⋊Dic13—22no—
497C22⋊Dic13—22no—
498C22⋊Dic13—22no—
499C22⋊Dic13—22no—
500C22⋊Dic13—22no—
501C22⋊Dic13—22no—
502C22⋊Dic13—22no—
503C22⋊Dic13—41no—
504C22⋊Dic13—41no—
505C22⋊Dic13—41no—
506C22⋊Dic13—41no—
507C22⋊Dic13—41no—
508C22⋊Dic13—41no—
509C22⋊Dic13#4114yes—
510#6103—22no—
511#6103—22no—
512#6103—22no—
513#6103—22no—
514#6103—22no—
515#6103—22no—
516#6103—22no—
517#6103—22no—
518#6103—22no—
519#6103—22no—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—41no—
525#6103—41no—
526#6103—41no—
527#6103—41no—
528#6103#4114yes—
529#6103#4114yes—
530C4⋊Dic13—22no—
531C4⋊Dic13—22no—
532C4⋊Dic13—22no—
533C4⋊Dic13—22no—
534C4⋊Dic13—22no—
535C4⋊Dic13—22no—
536C4⋊Dic13—41no—
537C4⋊Dic13—41no—
538C4⋊Dic13—41no—
539#6101—22no—
540#6101—22no—
541#6101—22no—
542#6101—22no—
543#6101—41no—
544#6101—41no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
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—22no—
558C4×Dic13—22no—
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×#121D1311yescharacteristic, complemented
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—21no—
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×C13C2×#4112yes—
612C23×C13C2×#4112yes—
613C23×C13C2×#4112yes—
614C23×C13C2×#4112yes—
615C23×C13C2511yescharacteristic
616C22×D13—28no—
617C22×D13—21no—
618C22×D13—21no—
619C22×D13—21no—
620C22×D13—21no—
621C22×D13—21no—
622C22×D13—21no—
623C22×D13—21no—
624C22×D13—21no—
625C22×D13—21no—
626C22×D13—21no—
627C22×D13—21no—
628C22×D13—21no—
629C22×D13—44no—
630C22×D13—44no—
631C22×D13—44no—
632C22×D13—44no—
633C22×D13—44no—
634C22×D13—44no—
635C22×D13C2×#4112yes—
636C22×D13C2×#4112yes—
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—28no—
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×C13—44no—
674C2×C4×C13C2×#4112yes—
675C2×C4×C13C2×#4112yes—
676C2×C4×C13C2×#4112yes—
677C2×C4×C13C2×#4112yes—
678C2×C4×C13C2×#4112yes—
679C2×C4×C13H(5,𝔽2)12yes—
680C2×C4×C13H(5,𝔽2)12yes—
681C22⋊D13—44no—
682C22⋊D13—44no—
683C22⋊D13—44no—
684C22⋊D13—44no—
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×Dic13C2×#4112yes—
729C2×Dic13C2×#4112yes—
730C2×Dic13C2×#4112yes—
731C2×Dic13C2×#4112yes—
732C4×D13—44no—
733C4×D13—44no—
734C4×D13—44no—
735C4×D13—44no—
736Dic26—44no—
737C24×C4—131no—
738C2×#126—131no—
739C2×#124—131no—
740C2×#123—131no—
741C2×C22⋊Q8—131no—
742C2×#121—131no—
743C2×#121C2×D1311yescharacteristic
744C2×#120—131no—
745C2×#120—131no—
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, complemented
756C2×#117—131no—
757C22×C22⋊C4—131no—
758C22×C22⋊C4—131no—
759C22×C42—131no—
760C22×C42—131no—
761C22×C42C2×D1311yescharacteristic
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#390C2×D1311yescharacteristic, complemented
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#388C2×D1311yescharacteristic, complemented
816#388C2×D1311yescharacteristic, complemented
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#385—131no—
850#383—131no—
851#382—131no—
852#381—131no—
853#380—131no—
854#380—131no—
855#380C2×D1311yescharacteristic
856#379—131no—
857#379—131no—
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⋊C4C2×D1311yescharacteristic, complemented
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⋊C4C2×D1311yescharacteristic, complemented
887C4×C22⋊C4C2×D1311yescharacteristic, complemented
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—41no—
902C22×C13—41no—
903C22×C13—41no—
904C22×C13—41no—
905C22×C13—41no—
906C22×C13—41no—
907C22×C13—41no—
908C22×C13—41no—
909C22×C13—41no—
910C22×C13—41no—
911C22×C13—41no—
912C22×C13#52914yes—
913C22×C13C22×#4111yescharacteristic
914C22×C13C22×#4111yescharacteristic
915C22×C13C22×#4111yescharacteristic
916C22×C13C22×#4111yescharacteristic
917C22×C13C22×#4111yescharacteristic
918C22×C13C2×H(5,𝔽2)11yescharacteristic
919C22×C13C2×H(5,𝔽2)11yescharacteristic
920C2×D13—22no—
921C2×D13—22no—
922C2×D13—22no—
923C2×D13—22no—
924C2×D13—22no—
925C2×D13—22no—
926C2×D13—416no—
927C2×D13—41no—
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—22no—
939C4×C13—41no—
940C4×C13—41no—
941C4×C13—41no—
942C4×C13—41no—
943C4×C13—41no—
944C4×C13—41no—
945C4×C13—41no—
946C4×C13#53814yes—
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—41no—
961C25—131no—
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—264no—
980C23×C4—522no—
981C23×C4—522no—
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—24no—
992#121—264no—
993#120—264no—
994#120—264no—
995C4×Q8—522no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—42no—
999C4×D4—264no—
1000C4×D4—264no—
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—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—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—264no—
1065C2×C22⋊C4—264no—
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—42no—
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—522no—
1092C2×C42—522no—
1093C2×C42C22×D1311yescharacteristic
1094C2×C42C22×D1311yescharacteristic
1095C2×C42C22×D1311yescharacteristic
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—81no—
1146C2×C13C2×#52911yescharacteristic
1147C2×C13#344411yescharacteristic
1148C2×C13C2×#53811yescharacteristic
1149C2×C13#348111yescharacteristic
1150C2×C13#348111yescharacteristic
1151C2×C13#348111yescharacteristic
1152C2×C13#348111yescharacteristic
1153D13—42no—
1154D13—42no—
1155C24—131no—
1156C24—131no—
1157C24—262no—
1158C24—262no—
1159C24—262no—
1160C24—262no—
1161C24—262no—
1162C24—521no—
1163C24—521no—
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—22no—
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—521no—
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—41no—
1204C22×C4—41no—
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—131no—
1217C22×C4—131no—
1218C22×C4—131no—
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—521no—
1237C22×C4—521no—
1238C22×C4—521no—
1239C22×C4—521no—
1240C22×C4—5216no—
1241C22×C4—521no—
1242C22×C4—521no—
1243C22×C4—521no—
1244C22×C4—521no—
1245C22×C4—521no—
1246C22×C4—521no—
1247C22×C4#612914yes—
1248C22×C4C23×D1311yescharacteristic
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—22no—
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—521no—
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—134no—
1295C22⋊C4—134no—
1296C22⋊C4—134no—
1297C22⋊C4—262no—
1298C22⋊C4—262no—
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—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—521no—
1328C42—22no—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—41no—
1333C42—41no—
1334C42—262no—
1335C42—262no—
1336C42—262no—
1337C42—262no—
1338C42—262no—
1339C42—262no—
1340C42—262no—
1341C42—262no—
1342C42—262no—
1343C42—262no—
1344C42—521no—
1345C42—521no—
1346C42—521no—
1347C42—521no—
1348C13#3495911yescharacteristic, complemented, Sylow
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
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—132no—
1367C23—132no—
1368C23—268no—
1369C23—261no—
1370C23—261no—
1371C23—261no—
1372C23—261no—
1373C23—261no—
1374C23—261no—
1375C23—261no—
1376C23—261no—
1377C23—261no—
1378C23—261no—
1379C23—261no—
1380C23—261no—
1381C23—524no—
1382C23—524no—
1383C23—524no—
1384C23—524no—
1385C23—524no—
1386C23—524no—
1387C23C2×#612712yes—
1388C23C2×#612712yes—
1389C23C2×#612912yes—
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—28no—
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—44no—
1434C2×C4—132no—
1435C2×C4—132no—
1436C2×C4—132no—
1437C2×C4—132no—
1438C2×C4—261no—
1439C2×C4—261no—
1440C2×C4—261no—
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—524no—
1477C2×C4—524no—
1478C2×C4—524no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—524no—
1483C2×C4—524no—
1484C2×C4—524no—
1485C2×C4C2×#612712yes—
1486C2×C4C2×#612912yes—
1487C2×C4C2×#612912yes—
1488C2×C4#8825112yes—
1489C2×C4#41×D1312yes—
1490C2×C4#41×D1312yes—
1491C2×C4#8825612yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—262no—
1513C22—262no—
1514C22—262no—
1515C22—262no—
1516C22—262no—
1517C22—262no—
1518C22—5216no—
1519C22—521no—
1520C22—521no—
1521C22—521no—
1522C22—521no—
1523C22—521no—
1524C22—521no—
1525C22—521no—
1526C22—521no—
1527C22#1171924314yes—
1528C22C22×#612711yescharacteristic
1529C22C22×#612911yescharacteristic
1530C22C2×#8825111yescharacteristic
1531C22C2×#41×D1311yescharacteristic
1532C22C2×#41×D1311yescharacteristic
1533C22C2×#41×D1311yescharacteristic
1534C22C2×#8825611yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—262no—
1547C4—262no—
1548C4—262no—
1549C4—262no—
1550C4—521no—
1551C4—521no—
1552C4—521no—
1553C4—521no—
1554C4—521no—
1555C4—521no—
1556C4—521no—
1557C4—521no—
1558C4—521no—
1559C4—521no—
1560C4#1171932214yes—
1561C2—24no—
1562C2—42no—
1563C2—81no—
1564C2—522no—
1565C2—522no—
1566C2C2×#1171924311yescharacteristic
1567C2#1312813111yescharacteristic
1568C2C2×#1171932211yescharacteristic
1569C2#1312843811yescharacteristic
1570C2#1312844011yescharacteristic
1571C2#1312844211yescharacteristic
1572C2#1312844611yescharacteristic
subgroupG/H
centerC22×C4C23×D13
commutator, socle, cosocleC23×C13C25
FrattiniC23C24×D13
FittingC4×C13×#121C2
prime radical#13118378C2
hypercenterC4×#121D13
hypocenterC13#34959
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. #13120392C2semidirect
2. #13120362C2semidirect
3. #13120292C2semidirect
4. #13120262C2semidirect
5. #13120175C2semidirect
6. #13120145C2semidirect
7. #13119970C2semidirect
8. #13119940C2semidirect
9. #13119400C2semidirect
10. #13119333C2semidirect
11. #13119087C2semidirect
12. #13118967C2semidirect
13. #13118664C2semidirect
14. #13118582C2semidirect
16. #13118296C2semidirect
17. #13118137C2semidirect
18. #13118123C2semidirect
19. #13118096C2semidirect
20. #13118078C2semidirect
21. C4×#88152C2semidirect
22. C4×#88139C2semidirect
23. C4×#88178C2semidirect
24. C4×#88140C2semidirect
25. C4×#88193C2semidirect
26. C4×#88191C2semidirect
27. C4×#88191C2semidirect
28. #13117281C2semidirect
29. C4×D4×Dic13C2semidirect
30. C2×C4×#6103C2semidirect
31. C4×C13×#121C2semidirect
36. C2×C4×D4×C13C22semidirect
49. C2×#88180C22semidirect
52. C22×C4×Dic13C22semidirect
56. C2×C4×Dic26C22semidirect
57. C13×#390C22semidirect
58. C13×#389C22semidirect
59. C13×#388C22semidirect
60. C13×#388C22semidirect
64. C4×C13×C4⋊C4C22semidirect
65. C4×C13×C22⋊C4C22semidirect
66. C4×C13×C22⋊C4C22semidirect
68. #11718883C22semidirect
73. #11718881C22semidirect
79. C4×C22⋊Dic13C22semidirect
80. C4×C22⋊Dic13C22semidirect
92. #11718647C22semidirect
93. #11718645C22semidirect
94. #11718643C22semidirect
95. #11718642C22semidirect
96. #11718642C22semidirect
97. #11718642C22semidirect
98. #11718639C22semidirect
99. C4⋊C4×Dic13C22semidirect
100. C4⋊C4×Dic13C22semidirect
101. #11718633C22semidirect
118. #11718614C22semidirect
119. #11718614C22semidirect
120. #11718613C22semidirect
121. #11718613C22semidirect
122. #11718612C22semidirect
123. #11718612C22semidirect
124. #11718612C22semidirect
127. #11718611C22semidirect
128. #11718609C22semidirect
129. #11718608C22semidirect
132. #11718606C22semidirect
133. #11718605C22semidirect
134. #11718604C22semidirect
135. #11718603C22semidirect
138. C22⋊C4×Dic13C22semidirect
139. C22⋊C4×Dic13C22semidirect
152. C4×C4⋊Dic13C22semidirect
153. C4×C4⋊Dic13C22semidirect
154. C4×C4⋊Dic13C22semidirect
155. #11718594C22semidirect
156. #11718594C22semidirect
157. #11718593C22semidirect
158. C4×#6101C22semidirect
159. C4×#6101C22semidirect
160. C42×Dic13C22semidirect
161. #11718590C22semidirect
162. #11718589C22semidirect
175. C13⋊#401C22semidirect
176. #11718322C22semidirect
177. #11718321C22semidirect
178. #11718321C22semidirect
179. #11718320C22semidirect
180. #11718319C22semidirect
181. #11718315C22semidirect
182. #11718314C22semidirect
183. #11718314C22semidirect
184. #11718312C22semidirect
185. #11718311C22semidirect
186. #11718307C22semidirect
588. C4×#121D13semidirect
755. C2×C4×D4C2×D13semidirect
798. #390C2×D13semidirect
801. #389C2×D13semidirect
815. #388C2×D13semidirect
816. #388C2×D13semidirect
865. C4×C4⋊C4C2×D13semidirect
886. C4×C22⋊C4C2×D13semidirect
887. C4×C22⋊C4C2×D13semidirect
1348. C13#34959semidirect

Maximal subgroups

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

subgroupindex
#131203922
#131203622
#131202922
#131202622
#131201752
#131201452
#131199702
#131199402
#131194002
#131193332
#131190872
#131189672
#131186642
#131185822
#131183782
#131182962
#131181372
#131181232
#131180962
#131180782
C4×#881522
C4×#881392
C4×#881782
C4×#881402
C4×#881932
C4×#881912
#131172812
C4×D4×Dic132
C2×C4×#61032
C4×C13×#1212
#3495913