Finite Group Databasebeta

← #16026615

Subgroups — #16026615

Order 3328.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719318C211yesmaximal, characteristic
2#13118006C211yesmaximal, characteristic, complemented
3#13118005C211yesmaximal, characteristic, complemented
4#13117980C211yesmaximal, characteristic, complemented
5#13117979C211yesmaximal, characteristic, complemented
6#13117909C211yesmaximal, characteristic, complemented
7#13117904C211yesmaximal, characteristic, complemented
8#13117834C211yesmaximal, characteristic, complemented
9#13117824C211yesmaximal, characteristic, complemented
10#13117819C211yesmaximal, characteristic, complemented
11#13117819C211yesmaximal, characteristic, complemented
12#13117816C211yesmaximal, characteristic, complemented
13#13117813C211yesmaximal, characteristic, complemented
14#13117764C211yesmaximal, characteristic, complemented
15#13117758C211yesmaximal, characteristic, complemented
16#13117743C211yesmaximal, characteristic, complemented
17#13117742C211yesmaximal, characteristic, complemented
18#13117618C211yesmaximal, characteristic, complemented
19#13117617C211yesmaximal, characteristic, complemented
20#13117616C211yesmaximal, characteristic, complemented
21#13117612C211yesmaximal, characteristic, complemented
22#13117563C211yesmaximal, characteristic, complemented
23#13117538C211yesmaximal, characteristic, complemented
24#13117534C211yesmaximal, characteristic, complemented
25#13117531C211yesmaximal, characteristic, complemented
26#13117526C211yesmaximal, characteristic, complemented
27#13117447C211yesmaximal, characteristic, complemented
28#13117370C211yesmaximal, characteristic, complemented
29C4×#88192C211yesmaximal, characteristic, complemented
30D13×#388C211yesmaximal, characteristic, complemented
31C13×#2325C211yesmaximal, characteristic, complemented
32C2×C13×#121C2211yescharacteristic
33C2×C4×D4×C13C2211yescharacteristic
34C2×C4×D4×C13C2211yescharacteristic, complemented
35C2×#88193C2211yescharacteristic
36C2×#88192C2211yescharacteristic
37C2×#88191C2211yescharacteristic
38C2×#88191C2211yescharacteristic
39C2×#88190C2211yescharacteristic
40C2×#88189C2211yescharacteristic
41C2×D4×Dic13C2211yescharacteristic
42C2×#88183C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44C2×C4×C22⋊D13C2211yescharacteristic
45C2×C4×C22⋊D13C2211yescharacteristic
46C2×C4×C22⋊D13C2211yescharacteristic
47C2×C4×C22⋊D13C2211yescharacteristic
48C2×C4×C22⋊D13C2211yescharacteristic
49C22×#6103C2211yescharacteristic
50C2×#88180C2211yescharacteristic, complemented
51#11719318C4116yescomplemented
52C2×#88152C2211yescharacteristic
53C2×#88150C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×#88141C2211yescharacteristic, complemented
56C2×#88139C2211yescharacteristic
57C2×#88135C2211yescharacteristic
58C2×#88135C2211yescharacteristic
59C2×C22⋊C4×D13C2211yescharacteristic
60C2×C22⋊C4×D13C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×#88133C2211yescharacteristic
64C2×#88131C2211yescharacteristic, complemented
65C2×C42×D13C2211yescharacteristic
66C13×#388C2211yescharacteristic
67C13×#388C2211yescharacteristic, complemented
68C13×#387C2211yescharacteristic, complemented
69C13×#387C2211yescharacteristic, complemented
70C13×#386C2211yescharacteristic
71C13×#386C2211yescharacteristic
72C13×#386C2211yescharacteristic
73C13×#386C2211yescharacteristic, complemented
74C13×#385C2211yescharacteristic
75C13×#385C2211yescharacteristic, complemented
76C13×#380C2211yescharacteristic, complemented
77C2×C13×#95C2211yescharacteristic, complemented
78#11718882C2211yescharacteristic
79#11718882C2211yescharacteristic
80#11718882C2211yescharacteristic, complemented
81#11718881C2211yescharacteristic
82#11718881C2211yescharacteristic, complemented
83#11718874C2211yescharacteristic
84#11718873C2211yescharacteristic, complemented
85#11718871C2211yescharacteristic
86#11718871C2211yescharacteristic
87#11718871C2211yescharacteristic, complemented
88#11718871C2211yescharacteristic, complemented
89#11718871C2211yescharacteristic, complemented
90C4×C22⋊Dic13C2211yescharacteristic
91C4×C22⋊Dic13C2211yescharacteristic, complemented
92C4×C22⋊Dic13C2211yescharacteristic, complemented
93C2×#88071C2211yescharacteristic, complemented
94#11718651C2211yescharacteristic
95#11718651C2211yescharacteristic
96#11718650C2211yescharacteristic
97#11718650C2211yescharacteristic
98#11718650C2211yescharacteristic
99#11718648C2211yescharacteristic
100#11718648C2211yescharacteristic
101#11718646C2211yescharacteristic, complemented
102#11718639C2211yescharacteristic, complemented
103#11718639C2211yescharacteristic, complemented
104#11718638C2211yescharacteristic, complemented
105C4⋊C4×Dic13C2211yescharacteristic, complemented
106C4⋊C4×Dic13C2211yescharacteristic, complemented
107C4⋊C4×Dic13C2211yescharacteristic, complemented
108#11718634C2211yescharacteristic, complemented
109#11718633C2211yescharacteristic, complemented
110#11718619C2211yescharacteristic
111#11718618C2211yescharacteristic
112#11718618C2211yescharacteristic
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718617C2211yescharacteristic
116#11718617C2211yescharacteristic
117#11718617C2211yescharacteristic
118#11718617C2211yescharacteristic
119#11718612C2211yescharacteristic
120#11718612C2211yescharacteristic, complemented
121#11718611C2211yescharacteristic
122#11718611C2211yescharacteristic, complemented
123#11718607C2211yescharacteristic
124#11718607C2211yescharacteristic
125#11718607C2211yescharacteristic, complemented
126#11718606C2211yescharacteristic
127#11718606C2211yescharacteristic
128#11718606C2211yescharacteristic
129#11718606C2211yescharacteristic
130#11718606C2211yescharacteristic
131#11718606C2211yescharacteristic, complemented
132#11718605C2211yescharacteristic
133#11718605C2211yescharacteristic, complemented
134#11718605C2211yescharacteristic, complemented
135#11718605C2211yescharacteristic, complemented
136#11718605C2211yescharacteristic, complemented
137#11718605C2211yescharacteristic, complemented
138#11718603C2211yescharacteristic, complemented
139#11718603C2211yescharacteristic, complemented
140C22⋊C4×Dic13C2211yescharacteristic
141#11718601C2211yescharacteristic
142#11718601C2211yescharacteristic
143C4×#6103C2211yescharacteristic
144C4×C4⋊Dic13C2211yescharacteristic, complemented
145#11718594C2211yescharacteristic, complemented
146C4×#6101C2211yescharacteristic, complemented
147#11718590C2211yescharacteristic, complemented
148#11718331C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718330C2211yescharacteristic
151#11718330C2211yescharacteristic
152#11718329C2211yescharacteristic
153#11718329C2211yescharacteristic
154#11718329C2211yescharacteristic
155#11718329C2211yescharacteristic
156#11718329C2211yescharacteristic
157#11718329C2211yescharacteristic
158#11718329C2211yescharacteristic
159#11718328C2211yescharacteristic
160#11718328C2211yescharacteristic
161#11718327C2211yescharacteristic
162#11718327C2211yescharacteristic
163#11718327C2211yescharacteristic
164#11718327C2211yescharacteristic
165#11718327C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168#11718316C2211yescharacteristic, complemented
169#11718316C2211yescharacteristic, complemented
170#11718315C2211yescharacteristic, complemented
171#11718314C2211yescharacteristic, complemented
172#11718313C2211yescharacteristic, complemented
173#11718313C2211yescharacteristic, complemented
174#11718313C2211yescharacteristic, complemented
175#11718311C2211yescharacteristic, complemented
176#11718311C2211yescharacteristic, complemented
177#11718311C2211yescharacteristic, complemented
178#11718310C2211yescharacteristic, complemented
179#11718310C2211yescharacteristic, complemented
180#11718310C2211yescharacteristic, complemented
181#11718308C2211yescharacteristic, complemented
182#11718308C2211yescharacteristic, complemented
183#11718308C2211yescharacteristic, complemented
184#11718308C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718307C2211yescharacteristic, complemented
187#11718307C2211yescharacteristic, complemented
188C24×D13C2311yescharacteristic
189C22×D4×C13C2311yescharacteristic
190C22×D4×C13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C23×C4×C13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C22×C22⋊D13C2311yescharacteristic
199C22×C22⋊D13C2311yescharacteristic
200C22×C22⋊D13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C23×Dic13C2311yescharacteristic
203C23×Dic13C2311yescharacteristic
204C22×C4×D13C2311yescharacteristic
205C22×C4×D13C2311yescharacteristic
206C22×C4×D13C2311yescharacteristic
207C22×C4×D13C2311yescharacteristic
208C22×C4×D13C2311yescharacteristic
209C22×C4×D13C2311yescharacteristic
210C22×C4×D13C2311yescharacteristic
211C22×C4×D13C2311yescharacteristic
212C22×Dic26C2311yescharacteristic
213C13×#121C2×C418yescomplemented
214C4×D4×C13—42no—
215C4×D4×C13—42no—
216C2×C13×C4⋊C4C2311yescharacteristic
217C2×C13×C4⋊C4C2311yescharacteristic
218C2×C13×C4⋊C4C2311yescharacteristic
219C2×C13×C4⋊C4C2311yescharacteristic
220C2×C13×C4⋊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×C42×C13C2311yescharacteristic
232C2×C42×C13C2311yescharacteristic
233C2×C22⋊Dic13C2311yescharacteristic
234C2×C22⋊Dic13C2311yescharacteristic
235C2×C22⋊Dic13C2311yescharacteristic
236C2×C22⋊Dic13C2311yescharacteristic
237C2×C22⋊Dic13C2311yescharacteristic
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
249#88193C2×C418yescomplemented
250#88192C2×C418yescomplemented
251#88191C2×C418yescomplemented
252#88191C2×C418yescomplemented
253#88190C2×C418yescomplemented
254#88189C2×C418yescomplemented
255D4×Dic13—42no—
256#88183C2×C418yescomplemented
257C4×C22⋊D13—42no—
258C4×C22⋊D13—42no—
259C4×C22⋊D13—42no—
260C4×C22⋊D13—42no—
261C4×C22⋊D13—42no—
262C4×C22⋊D13C2×C418yescomplemented
263C2×#6103—42no—
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
280#88180—42no—
281C2×C4⋊Dic13C2311yescharacteristic
282C2×C4⋊Dic13C2311yescharacteristic
283C2×C4⋊Dic13C2311yescharacteristic
284C2×C4⋊Dic13C2311yescharacteristic
285C2×C4⋊Dic13C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
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×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
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
320C2×C4×Dic13C2311yescharacteristic
321C2×C4×Dic13C2311yescharacteristic
322#88152C2×C418yescomplemented
323#88150C2×C418yescomplemented
324C4⋊C4×D13—42no—
325#88141—42no—
326#88139C2×C418yescomplemented
327#88135—42no—
328#88135C2×C418yescomplemented
329C22⋊C4×D13—42no—
330C22⋊C4×D13—42no—
331C22⋊C4×D13—42no—
332C22⋊C4×D13C2×C418yescomplemented
333#88133C2×C418yescomplemented
334#88131—42no—
335C42×D13—42no—
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#34424—131nomaximal, Sylow
377C24×C13C2411yescharacteristic
378C24×C13C2411yescharacteristic
379C24×C13C2411yescharacteristic
380C23×D13—22no—
381C23×D13—22no—
382C23×D13—41no—
383C23×D13—41no—
384C23×D13—41no—
385C23×D13—41no—
386C23×D13C22×C414yes—
387C23×D13C2411yescharacteristic
388C23×D13C2411yescharacteristic
389C2×D4×C13—41no—
390C2×D4×C13—41no—
391C2×D4×C13—41no—
392C2×D4×C13—41no—
393C2×D4×C13—41no—
394C2×D4×C13—41no—
395C2×D4×C13C22×C414yes—
396C2×D4×C13C22×C414yes—
397C2×D4×C13C22×C414yes—
398C22×C4×C13—22no—
399C22×C4×C13—22no—
400C22×C4×C13—41no—
401C22×C4×C13—41no—
402C22×C4×C13—41no—
403C22×C4×C13—41no—
404C22×C4×C13—41no—
405C22×C4×C13—41no—
406C22×C4×C13—41no—
407C22×C4×C13—41no—
408C22×C4×C13—41no—
409C22×C4×C13—41no—
410C22×C4×C13—41no—
411C22×C4×C13—41no—
412C22×C4×C13C22×C414yes—
413C22×C4×C13C2411yescharacteristic
414C22×C4×C13C2411yescharacteristic
415C22×C4×C13C2411yescharacteristic
416C22×C4×C13C2411yescharacteristic
417C22×C4×C13C2411yescharacteristic
418C22×C4×C13C2411yescharacteristic
419C22×C4×C13C2411yescharacteristic
420C22×C4×C13C2411yescharacteristic
421C22×C4×C13C2411yescharacteristic
422C22×C4×C13C2411yescharacteristic
423C22×C4×C13C2411yescharacteristic
424C22×C4×C13C2411yescharacteristic
425C2×C22⋊D13—22no—
426C2×C22⋊D13—22no—
427C2×C22⋊D13—22no—
428C2×C22⋊D13—22no—
429C2×C22⋊D13—41no—
430C2×C22⋊D13—41no—
431C2×C22⋊D13—41no—
432C2×C22⋊D13—41no—
433C2×C22⋊D13C22×C414yes—
434C2×C22⋊D13C22×C414yes—
435C2×C22⋊D13C22×C414yes—
436C2×C22⋊D13C22×C414yes—
437C22×Dic13—41no—
438C22×Dic13—41no—
439C22×Dic13—41no—
440C22×Dic13—41no—
441C22×Dic13—41no—
442C22×Dic13—41no—
443C22×Dic13—41no—
444C22×Dic13—41no—
445C22×Dic13C22×C414yes—
446C22×Dic13C2411yescharacteristic
447C22×Dic13C2411yescharacteristic
448C22×Dic13C2411yescharacteristic
449C22×Dic13C2411yescharacteristic
450C22×Dic13C2411yescharacteristic
451C22×Dic13C2411yescharacteristic
452C22×Dic13C2411yescharacteristic
453C22×Dic13C2411yescharacteristic
454C22×Dic13C2411yescharacteristic
455C22×Dic13C2411yescharacteristic
456C22×Dic13C2411yescharacteristic
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C2×C4×D13—22no—
461C2×C4×D13—22no—
462C2×C4×D13—22no—
463C2×C4×D13—22no—
464C2×C4×D13—22no—
465C2×C4×D13—22no—
466C2×C4×D13—41no—
467C2×C4×D13—41no—
468C2×C4×D13—41no—
469C2×C4×D13—41no—
470C2×C4×D13—41no—
471C2×C4×D13—41no—
472C2×C4×D13—41no—
473C2×C4×D13—41no—
474C2×C4×D13—41no—
475C2×C4×D13—41no—
476C2×C4×D13—41no—
477C2×C4×D13—41no—
478C2×C4×D13—41no—
479C2×C4×D13—41no—
480C2×C4×D13—41no—
481C2×C4×D13—41no—
482C2×C4×D13C22×C414yes—
483C2×C4×D13C22×C414yes—
484C2×Dic26—41no—
485C2×Dic26—41no—
486C2×Dic26C22×C414yes—
487C13×C4⋊C4—22no—
488C13×C4⋊C4—41no—
489C13×C4⋊C4—41no—
490C13×C4⋊C4—41no—
491C13×C4⋊C4C22×C414yes—
492C13×C22⋊C4—22no—
493C13×C22⋊C4—41no—
494C13×C22⋊C4—41no—
495C13×C22⋊C4—41no—
496C13×C22⋊C4—41no—
497C13×C22⋊C4—41no—
498C13×C22⋊C4—41no—
499C13×C22⋊C4—41no—
500C13×C22⋊C4C22×C414yes—
501C13×C22⋊C4C22×C414yes—
502C42×C13—22no—
503C42×C13—41no—
504C22⋊Dic13—22no—
505C22⋊Dic13—22no—
506C22⋊Dic13—22no—
507C22⋊Dic13—41no—
508C22⋊Dic13—41no—
509C22⋊Dic13—41no—
510C22⋊Dic13—41no—
511C22⋊Dic13—41no—
512C22⋊Dic13—41no—
513C22⋊Dic13—41no—
514C22⋊Dic13C22×C414yes—
515C22⋊Dic13C22×C414yes—
516C22⋊Dic13C22×C414yes—
517C22⋊Dic13C22×C414yes—
518C22⋊Dic13C22×C414yes—
519C22⋊Dic13C22×C414yes—
520#6103—22no—
521#6103—22no—
522#6103—22no—
523#6103—22no—
524#6103—22no—
525#6103—22no—
526#6103—41no—
527#6103—41no—
528#6103—41no—
529#6103—41no—
530#6103C22×C414yes—
531#6103C22×C414yes—
532#6103C22×C414yes—
533#6103C22×C414yes—
534#6103C22×C414yes—
535#6103C22×C414yes—
536C4⋊Dic13—22no—
537C4⋊Dic13—41no—
538C4⋊Dic13—41no—
539C4⋊Dic13—41no—
540C4⋊Dic13—41no—
541C4⋊Dic13—41no—
542C4⋊Dic13C22×C414yes—
543#6101—22no—
544#6101—22no—
545#6101—41no—
546#6101—41no—
547#6101—41no—
548#6101—41no—
549#6101—41no—
550#6101—41no—
551#6101—41no—
552#6101—41no—
553#6101—41no—
554#6101—41no—
555#6101—41no—
556#6101—41no—
557#6101C22×C414yes—
558#6101C22×C414yes—
559#6101C22×C414yes—
560#6101C22×C414yes—
561C4×Dic13—22no—
562C4×Dic13—22no—
563C4×Dic13—22no—
564C4×Dic13—41no—
565C4×Dic13—41no—
566C4×Dic13—41no—
567C4×Dic13—41no—
568C4×Dic13—41no—
569C4×Dic13—41no—
570C4×Dic13—41no—
571C4×Dic13—41no—
572C4×Dic13—41no—
573C4×Dic13—41no—
574C4×Dic13—41no—
575C4×Dic13C22×C414yes—
576C4×Dic13C22×C414yes—
577C2×#538—131no—
578#2379—131no—
579#2379—131no—
580#2376—131no—
581#2376—131no—
582#2367—131no—
583#2367—131no—
584#2359—131no—
585#2359—131no—
586#2358—131no—
587#2358—131no—
588#2358—131no—
589#2358—131no—
590#2352—131no—
591#2352—131no—
592#2349—131no—
593#2349—131no—
594#2334—131no—
595#2334—131no—
596#2334—131no—
597#2334—131no—
598#2329—131no—
599#2325—131no—
600#2325—131no—
601#2325D1311yescharacteristic, complemented
602#2324—131no—
603#2324—131no—
604#2315—131no—
605C4×C22⋊Q8—131no—
606C4×#121—131no—
607C2×#388—131no—
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—21no—
618C23×C13—21no—
619C23×C13—21no—
620C23×C13—21no—
621C23×C13—21no—
622C23×C13—21no—
623C23×C13—21no—
624C23×C13—21no—
625C23×C13—21no—
626C23×C13C23×C412yes—
627C23×C13C23×C412yes—
628C23×C13C23×C412yes—
629C23×C13C2511yescharacteristic
630C22×D13—21no—
631C22×D13—21no—
632C22×D13—21no—
633C22×D13—21no—
634C22×D13—21no—
635C22×D13—21no—
636C22×D13—21no—
637C22×D13—21no—
638C22×D13—21no—
639C22×D13—21no—
640C22×D13—28no—
641C22×D13—44no—
642C22×D13—44no—
643C22×D13—82no—
644C22×D13—82no—
645C22×D13—82no—
646C22×D13—82no—
647C22×D13C23×C412yes—
648C22×D13C23×C412yes—
649C22×D13H(5,𝔽2)12yes—
650C22×D132−1+412yes—
651D4×C13—44no—
652D4×C13—44no—
653D4×C13—44no—
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—21no—
671C2×C4×C13—21no—
672C2×C4×C13—21no—
673C2×C4×C13—21no—
674C2×C4×C13—21no—
675C2×C4×C13—21no—
676C2×C4×C13—21no—
677C2×C4×C13—21no—
678C2×C4×C13—21no—
679C2×C4×C13—21no—
680C2×C4×C13—21no—
681C2×C4×C13—21no—
682C2×C4×C13—21no—
683C2×C4×C13—21no—
684C2×C4×C13—21no—
685C2×C4×C13—44no—
686C2×C4×C13—82no—
687C2×C4×C13—82no—
688C2×C4×C13—82no—
689C2×C4×C13—82no—
690C2×C4×C13C23×C412yes—
691C2×C4×C13C23×C412yes—
692C2×C4×C13C23×C412yes—
693C2×C4×C13C23×C412yes—
694C2×C4×C13H(5,𝔽2)12yes—
695C22⋊D13—28no—
696C22⋊D13—28no—
697C22⋊D13—44no—
698C22⋊D13—44no—
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—21no—
724C2×Dic13—21no—
725C2×Dic13—21no—
726C2×Dic13—21no—
727C2×Dic13—21no—
728C2×Dic13—21no—
729C2×Dic13—21no—
730C2×Dic13—21no—
731C2×Dic13—21no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—44no—
735C2×Dic13—82no—
736C2×Dic13—82no—
737C2×Dic13C23×C412yes—
738C2×Dic13C23×C412yes—
739C2×Dic13C23×C412yes—
740C2×Dic13C23×C412yes—
741C2×Dic13C23×C412yes—
742C2×Dic13C23×C412yes—
743C2×Dic13H(5,𝔽2)12yes—
744C4×D13—44no—
745C4×D13—44no—
746C4×D13—44no—
747C4×D13—44no—
748C4×D13—82no—
749C4×D13—82no—
750C4×D13—82no—
751C4×D13—82no—
752Dic26—44no—
753#538—1316no—
754C2×#126—131no—
755C2×#126—131no—
756C2×#124—131no—
757C2×#124—131no—
758C2×#123—131no—
759C2×#123—131no—
760C2×C22⋊Q8—131no—
761C2×#121—131no—
762C2×#121—131no—
763C2×#121C2×D1311yescharacteristic
764C2×#120—131no—
765C2×#120—131no—
766C2×C4×Q8—131no—
767C2×C4×D4—131no—
768C2×C4×D4—131no—
769C2×C4×D4—131no—
770C2×C4×D4—131no—
771C2×C4×D4—131no—
772C2×C4×D4—131no—
773C2×C4×D4—131no—
774C2×C4×D4—131no—
775C2×C4×D4—131no—
776C2×C4×D4C2×D1311yescharacteristic
777C2×C4×D4C2×D1311yescharacteristic, complemented
778C2×#117—131no—
779C2×#117—131no—
780C22×C4⋊C4—131no—
781C22×C22⋊C4—131no—
782C22×C22⋊C4—131no—
783C22×C22⋊C4—131no—
784C22×C22⋊C4—131no—
785C22×C22⋊C4—131no—
786C22×C42—131no—
787#391—131no—
788#391—131no—
789#391—131no—
790#390—131no—
791#390—131no—
792#390—131no—
793#390—131no—
794#390—131no—
795#389—131no—
796#389—131no—
797#389—131no—
798#389—131no—
799#389—131no—
800#389—131no—
801#389—131no—
802#389—131no—
803#388—131no—
804#388—131no—
805#388—131no—
806#388—131no—
807#388—131no—
808#388—131no—
809#388—131no—
810#388—131no—
811#388—131no—
812#388—131no—
813#388—131no—
814#388—131no—
815#388—131no—
816#388—131no—
817#388—131no—
818#388—131no—
819#388—131no—
820#388—131no—
821#388—131no—
822#388—131no—
823#388—131no—
824#388—131no—
825#388C2×D1311yescharacteristic
826#388C2×D1311yescharacteristic, complemented
827#387—131no—
828#387—131no—
829#387—131no—
830#387—131no—
831#387—131no—
832#387—131no—
833#387—131no—
834#387—131no—
835#387—131no—
836#387—131no—
837#387C2×D1311yescharacteristic, complemented
838#387C2×D1311yescharacteristic, complemented
839#386—131no—
840#386—131no—
841#386—131no—
842#386—131no—
843#386—131no—
844#386—131no—
845#386—131no—
846#386—131no—
847#386—131no—
848#386—131no—
849#386C2×D1311yescharacteristic
850#386C2×D1311yescharacteristic
851#386C2×D1311yescharacteristic
852#386C2×D1311yescharacteristic, complemented
853#385—131no—
854#385—131no—
855#385—131no—
856#385—131no—
857#385—131no—
858#385—131no—
859#385—131no—
860#385—131no—
861#385—131no—
862#385—131no—
863#385—131no—
864#385—131no—
865#385—131no—
866#385—131no—
867#385—131no—
868#385—131no—
869#385—131no—
870#385—131no—
871#385—131no—
872#385—131no—
873#385C2×D1311yescharacteristic
874#385C2×D1311yescharacteristic, complemented
875#382—131no—
876#382—131no—
877#382—131no—
878#382—131no—
879#380—131no—
880#380—131no—
881#380—131no—
882#380—131no—
883#380—131no—
884#380—131no—
885#380—131no—
886#380C2×D1311yescharacteristic, complemented
887C4×C4⋊C4—131no—
888C4×C4⋊C4—131no—
889C4×C4⋊C4—131no—
890C4×C4⋊C4—131no—
891C4×C4⋊C4—131no—
892C4×C4⋊C4—131no—
893C4×C4⋊C4—131no—
894C4×C4⋊C4—131no—
895C4×C22⋊C4—131no—
896C4×C22⋊C4—131no—
897C4×C22⋊C4—131no—
898C4×C22⋊C4—131no—
899C4×C22⋊C4—131no—
900C4×C22⋊C4—131no—
901C4×C22⋊C4—131no—
902C4×C22⋊C4—131no—
903C4×C22⋊C4—131no—
904C4×C22⋊C4—131no—
905C2×#95—131no—
906C2×#95—131no—
907C2×#95—131no—
908C2×#95C2×D1311yescharacteristic, complemented
909C22×C13—22no—
910C22×C13—22no—
911C22×C13—22no—
912C22×C13—22no—
913C22×C13—22no—
914C22×C13—22no—
915C22×C13—22no—
916C22×C13—22no—
917C22×C13—22no—
918C22×C13—41no—
919C22×C13—41no—
920C22×C13—41no—
921C22×C13—41no—
922C22×C13—41no—
923C22×C13—41no—
924C22×C13—41no—
925C22×C13—41no—
926C22×C13—41no—
927C22×C13—41no—
928C22×C13—41no—
929C22×C13—41no—
930C22×C13C24×C411yescharacteristic
931C22×C13C2×H(5,𝔽2)11yescharacteristic
932C22×C13C2×H(5,𝔽2)11yescharacteristic
933C22×C13C2×H(5,𝔽2)11yescharacteristic
934C22×C13C2×2−1+411yescharacteristic
935C22×C13#58511yescharacteristic
936C22×C13#58511yescharacteristic
937C2×D13—22no—
938C2×D13—22no—
939C2×D13—22no—
940C2×D13—22no—
941C2×D13—22no—
942C2×D13—22no—
943C2×D13—22no—
944C2×D13—22no—
945C2×D13—22no—
946C2×D13—41no—
947C2×D13—41no—
948C2×D13—41no—
949C2×D13—41no—
950C2×D13—88no—
951C2×D13#52014yes—
952C4×C13—22no—
953C4×C13—22no—
954C4×C13—22no—
955C4×C13—22no—
956C4×C13—22no—
957C4×C13—41no—
958C4×C13—41no—
959C4×C13—41no—
960C4×C13—41no—
961C4×C13—41no—
962C4×C13—41no—
963C4×C13—41no—
964Dic13—22no—
965Dic13—22no—
966Dic13—22no—
967Dic13—22no—
968Dic13—22no—
969Dic13—22no—
970Dic13—22no—
971Dic13—41no—
972Dic13—41no—
973Dic13—41no—
974Dic13—41no—
975Dic13—41no—
976Dic13—41no—
977Dic13—41no—
978C25—131no—
979C22×Q8—131no—
980C22×D4—131no—
981C22×D4—131no—
982C22×D4—131no—
983C22×D4—131no—
984C22×D4C22×D1311yescharacteristic
985C22×D4C22×D1311yescharacteristic
986C22×D4C22×D1311yescharacteristic
987C23×C4—131no—
988C23×C4—131no—
989C23×C4—131no—
990C23×C4—131no—
991C23×C4—131no—
992C23×C4—131no—
993C23×C4—131no—
994C23×C4—131no—
995C23×C4—131no—
996C23×C4—131no—
997C23×C4—131no—
998C23×C4C22×D1311yescharacteristic
999C23×C4C22×D1311yescharacteristic
1000C23×C4C22×D1311yescharacteristic
1001C23×C4C22×D1311yescharacteristic
1002C23×C4C22×D1311yescharacteristic
1003#126—138no—
1004#126—138no—
1005#124—138no—
1006#124—138no—
1007#123—138no—
1008#123—138no—
1009C22⋊Q8—138no—
1010#121—138no—
1011#121—138no—
1012#121C4×D1318yescomplemented
1013#120—138no—
1014#120—138no—
1015C4×Q8—522no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—138no—
1019C4×D4—138no—
1020C4×D4—522no—
1021C4×D4—522no—
1022C4×D4—522no—
1023C4×D4—522no—
1024C4×D4—522no—
1025C4×D4—522no—
1026C4×D4—522no—
1027#117—522no—
1028#117—522no—
1029C2×C4⋊C4—131no—
1030C2×C4⋊C4—131no—
1031C2×C4⋊C4—131no—
1032C2×C4⋊C4—131no—
1033C2×C4⋊C4—131no—
1034C2×C4⋊C4—131no—
1035C2×C4⋊C4—131no—
1036C2×C4⋊C4—131no—
1037C2×C4⋊C4—131no—
1038C2×C4⋊C4—131no—
1039C2×C4⋊C4—131no—
1040C2×C4⋊C4—131no—
1041C2×C4⋊C4—131no—
1042C2×C4⋊C4—131no—
1043C2×C4⋊C4—131no—
1044C2×C4⋊C4—131no—
1045C2×C4⋊C4—131no—
1046C2×C4⋊C4—131no—
1047C2×C4⋊C4—131no—
1048C2×C4⋊C4—131no—
1049C2×C4⋊C4—131no—
1050C2×C4⋊C4—131no—
1051C2×C4⋊C4—131no—
1052C2×C4⋊C4—131no—
1053C2×C4⋊C4—131no—
1054C2×C4⋊C4—522no—
1055C2×C4⋊C4C22×D1311yescharacteristic
1056C2×C4⋊C4C22×D1311yescharacteristic
1057C2×C4⋊C4C22×D1311yescharacteristic
1058C2×C4⋊C4C22×D1311yescharacteristic
1059C2×C4⋊C4C22×D1311yescharacteristic
1060C2×C22⋊C4—131no—
1061C2×C22⋊C4—131no—
1062C2×C22⋊C4—131no—
1063C2×C22⋊C4—131no—
1064C2×C22⋊C4—131no—
1065C2×C22⋊C4—131no—
1066C2×C22⋊C4—131no—
1067C2×C22⋊C4—131no—
1068C2×C22⋊C4—131no—
1069C2×C22⋊C4—131no—
1070C2×C22⋊C4—131no—
1071C2×C22⋊C4—131no—
1072C2×C22⋊C4—138no—
1073C2×C22⋊C4—131no—
1074C2×C22⋊C4—131no—
1075C2×C22⋊C4—131no—
1076C2×C22⋊C4—131no—
1077C2×C22⋊C4—131no—
1078C2×C22⋊C4—131no—
1079C2×C22⋊C4—131no—
1080C2×C22⋊C4—131no—
1081C2×C22⋊C4—131no—
1082C2×C22⋊C4—131no—
1083C2×C22⋊C4—131no—
1084C2×C22⋊C4—131no—
1085C2×C22⋊C4—131no—
1086C2×C22⋊C4—131no—
1087C2×C22⋊C4—131no—
1088C2×C22⋊C4—131no—
1089C2×C22⋊C4—131no—
1090C2×C22⋊C4—131no—
1091C2×C22⋊C4—131no—
1092C2×C22⋊C4—131no—
1093C2×C22⋊C4—522no—
1094C2×C22⋊C4—522no—
1095C2×C22⋊C4—522no—
1096C2×C22⋊C4—522no—
1097C2×C22⋊C4C22×D1311yescharacteristic
1098C2×C22⋊C4C22×D1311yescharacteristic
1099C2×C22⋊C4C22×D1311yescharacteristic
1100C2×C22⋊C4C22×D1311yescharacteristic
1101C2×C22⋊C4C22×D1311yescharacteristic
1102C2×C22⋊C4C22×D1311yescharacteristic
1103C2×C22⋊C4C22×D1311yescharacteristic
1104C2×C22⋊C4C22×D1311yescharacteristic
1105C2×C22⋊C4C22×D1311yescharacteristic
1106C2×C22⋊C4C22×D1311yescharacteristic
1107C2×C42—131no—
1108C2×C42—131no—
1109C2×C42—131no—
1110C2×C42—131no—
1111C2×C42—131no—
1112C2×C42—131no—
1113C2×C42—131no—
1114C2×C42—131no—
1115C2×C42—131no—
1116C2×C42—131no—
1117C2×C42—131no—
1118C2×C42—131no—
1119C2×C42—131no—
1120C2×C42—131no—
1121C2×C42—131no—
1122C2×C42—131no—
1123C2×C42—522no—
1124C2×C42C22×D1311yescharacteristic
1125C2×C42C22×D1311yescharacteristic
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#95—131no—
1138#95—131no—
1139#95—131no—
1140#95—131no—
1141#95—131no—
1142#95—131no—
1143#95—131no—
1144#95—131no—
1145#95—131no—
1146#95—131no—
1147#95—131no—
1148#95—131no—
1149#95—131no—
1150#95—131no—
1151#95—131no—
1152#95—131no—
1153#95—131no—
1154#95—131no—
1155#95—131no—
1156#95C22×D1311yescharacteristic
1157#95C22×D1311yescharacteristic
1158#95C22×D1311yescharacteristic
1159#95C22×D1311yescharacteristic
1160#95C22×D1311yescharacteristic
1161#95C22×D1311yescharacteristic
1162#95C22×D1311yescharacteristic
1163#95C22×D1311yescharacteristic
1164#95C22×D1311yescharacteristic
1165#95C22×D1311yescharacteristic
1166C2×C13—42no—
1167C2×C13—42no—
1168C2×C13—42no—
1169C2×C13C2×#52011yescharacteristic
1170C2×C13C4×H(5,𝔽2)11yescharacteristic
1171C2×C13C4×H(5,𝔽2)11yescharacteristic
1172C2×C13#353411yescharacteristic
1173C2×C13#353611yescharacteristic
1174C2×C13#355811yescharacteristic
1175C2×C13#356411yescharacteristic
1176D13—24no—
1177D13—42no—
1178C24—131no—
1179C24—131no—
1180C24—134no—
1181C24—262no—
1182C24—262no—
1183C24—521no—
1184C24—521no—
1185C24—521no—
1186C24—521no—
1187C24C23×D1311yescharacteristic
1188C24C23×D1311yescharacteristic
1189C24C23×D1311yescharacteristic
1190C2×Q8—134no—
1191C2×Q8—521no—
1192C2×Q8—521no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—134no—
1200C2×D4—134no—
1201C2×D4—134no—
1202C2×D4—134no—
1203C2×D4—262no—
1204C2×D4—262no—
1205C2×D4—262no—
1206C2×D4—262no—
1207C2×D4—521no—
1208C2×D4—521no—
1209C2×D4—521no—
1210C2×D4—521no—
1211C2×D4C2×C4×D1314yes—
1212C2×D4C2×C4×D1314yes—
1213C2×D4C2×C4×D1314yes—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—131no—
1229C22×C4—131no—
1230C22×C4—131no—
1231C22×C4—131no—
1232C22×C4—131no—
1233C22×C4—131no—
1234C22×C4—131no—
1235C22×C4—134no—
1236C22×C4—134no—
1237C22×C4—134no—
1238C22×C4—131no—
1239C22×C4—131no—
1240C22×C4—131no—
1241C22×C4—131no—
1242C22×C4—131no—
1243C22×C4—131no—
1244C22×C4—131no—
1245C22×C4—262no—
1246C22×C4—262no—
1247C22×C4—262no—
1248C22×C4—262no—
1249C22×C4—262no—
1250C22×C4—262no—
1251C22×C4—521no—
1252C22×C4—521no—
1253C22×C4—521no—
1254C22×C4—521no—
1255C22×C4—521no—
1256C22×C4—521no—
1257C22×C4—521no—
1258C22×C4—521no—
1259C22×C4—521no—
1260C22×C4—521no—
1261C22×C4—521no—
1262C22×C4—521no—
1263C22×C4—521no—
1264C22×C4—521no—
1265C22×C4—521no—
1266C22×C4—521no—
1267C22×C4—521no—
1268C22×C4—521no—
1269C22×C4—521no—
1270C22×C4—521no—
1271C22×C4—521no—
1272C22×C4—521no—
1273C22×C4—521no—
1274C22×C4—521no—
1275C22×C4C2×C4×D1314yes—
1276C22×C4C23×D1311yescharacteristic
1277C22×C4C23×D1311yescharacteristic
1278C22×C4C23×D1311yescharacteristic
1279C22×C4C23×D1311yescharacteristic
1280C22×C4C23×D1311yescharacteristic
1281C22×C4C23×D1311yescharacteristic
1282C22×C4C23×D1311yescharacteristic
1283C22×C4C23×D1311yescharacteristic
1284C22×C4C23×D1311yescharacteristic
1285C22×C4C23×D1311yescharacteristic
1286C22×C4C23×D1311yescharacteristic
1287C22×C4C23×D1311yescharacteristic
1288C4⋊C4—22no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—134no—
1293C4⋊C4—134no—
1294C4⋊C4—134no—
1295C4⋊C4—134no—
1296C4⋊C4—134no—
1297C4⋊C4—262no—
1298C4⋊C4—262no—
1299C4⋊C4—262no—
1300C4⋊C4—521no—
1301C4⋊C4—521no—
1302C4⋊C4—521no—
1303C4⋊C4—521no—
1304C4⋊C4—521no—
1305C4⋊C4—521no—
1306C4⋊C4—521no—
1307C4⋊C4—521no—
1308C4⋊C4—521no—
1309C4⋊C4—521no—
1310C4⋊C4—521no—
1311C4⋊C4—521no—
1312C4⋊C4—521no—
1313C4⋊C4—521no—
1314C4⋊C4—521no—
1315C4⋊C4—521no—
1316C4⋊C4—521no—
1317C4⋊C4C2×C4×D1314yes—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—134no—
1327C22⋊C4—134no—
1328C22⋊C4—134no—
1329C22⋊C4—134no—
1330C22⋊C4—134no—
1331C22⋊C4—134no—
1332C22⋊C4—134no—
1333C22⋊C4—134no—
1334C22⋊C4—134no—
1335C22⋊C4—134no—
1336C22⋊C4—134no—
1337C22⋊C4—134no—
1338C22⋊C4—262no—
1339C22⋊C4—262no—
1340C22⋊C4—262no—
1341C22⋊C4—262no—
1342C22⋊C4—262no—
1343C22⋊C4—262no—
1344C22⋊C4—262no—
1345C22⋊C4—262no—
1346C22⋊C4—262no—
1347C22⋊C4—521no—
1348C22⋊C4—521no—
1349C22⋊C4—521no—
1350C22⋊C4—521no—
1351C22⋊C4—521no—
1352C22⋊C4—521no—
1353C22⋊C4—521no—
1354C22⋊C4—521no—
1355C22⋊C4—521no—
1356C22⋊C4—521no—
1357C22⋊C4—521no—
1358C22⋊C4C2×C4×D1314yes—
1359C22⋊C4C2×C4×D1314yes—
1360C42—22no—
1361C42—41no—
1362C42—134no—
1363C42—134no—
1364C42—262no—
1365C42—262no—
1366C42—262no—
1367C42—521no—
1368C42—521no—
1369C42—521no—
1370C42—521no—
1371C42—521no—
1372C42—521no—
1373C42—521no—
1374C42—521no—
1375C42—521no—
1376C42—521no—
1377C42—521no—
1378C13#3442411yescharacteristic, complemented, Sylow
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—132no—
1398C23—132no—
1399C23—132no—
1400C23—132no—
1401C23—268no—
1402C23—261no—
1403C23—261no—
1404C23—261no—
1405C23—261no—
1406C23—261no—
1407C23—261no—
1408C23—261no—
1409C23—261no—
1410C23—261no—
1411C23—261no—
1412C23—524no—
1413C23—524no—
1414C23—1042no—
1415C23—1042no—
1416C23—1042no—
1417C23—1042no—
1418C23C22×C4×D1312yes—
1419C23C22×C4×D1312yes—
1420C23C22×C4×D1312yes—
1421C23C24×D1311yescharacteristic
1422Q8—524no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—268no—
1427D4—268no—
1428D4—524no—
1429D4—524no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—44no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—82no—
1466C2×C4—132no—
1467C2×C4—132no—
1468C2×C4—132no—
1469C2×C4—132no—
1470C2×C4—132no—
1471C2×C4—132no—
1472C2×C4—132no—
1473C2×C4—261no—
1474C2×C4—261no—
1475C2×C4—261no—
1476C2×C4—261no—
1477C2×C4—261no—
1478C2×C4—261no—
1479C2×C4—261no—
1480C2×C4—261no—
1481C2×C4—261no—
1482C2×C4—261no—
1483C2×C4—261no—
1484C2×C4—261no—
1485C2×C4—261no—
1486C2×C4—261no—
1487C2×C4—261no—
1488C2×C4—261no—
1489C2×C4—261no—
1490C2×C4—261no—
1491C2×C4—261no—
1492C2×C4—261no—
1493C2×C4—261no—
1494C2×C4—261no—
1495C2×C4—261no—
1496C2×C4—261no—
1497C2×C4—261no—
1498C2×C4—261no—
1499C2×C4—261no—
1500C2×C4—261no—
1501C2×C4—261no—
1502C2×C4—261no—
1503C2×C4—261no—
1504C2×C4—261no—
1505C2×C4—261no—
1506C2×C4—261no—
1507C2×C4—261no—
1508C2×C4—524no—
1509C2×C4—524no—
1510C2×C4—524no—
1511C2×C4—524no—
1512C2×C4—524no—
1513C2×C4—1042no—
1514C2×C4—1042no—
1515C2×C4—1042no—
1516C2×C4—1042no—
1517C2×C4—1042no—
1518C2×C4—1042no—
1519C2×C4C22×C4×D1312yes—
1520C2×C4C22×C4×D1312yes—
1521C2×C4C22×C4×D1312yes—
1522C2×C4C22×C4×D1312yes—
1523C2×C4#8825112yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—134no—
1546C22—262no—
1547C22—262no—
1548C22—262no—
1549C22—262no—
1550C22—262no—
1551C22—262no—
1552C22—262no—
1553C22—262no—
1554C22—262no—
1555C22—521no—
1556C22—521no—
1557C22—521no—
1558C22—521no—
1559C22—1048no—
1560C22C23×C4×D1311yescharacteristic
1561C22C2×#8825111yescharacteristic
1562C22#1171964811yescharacteristic
1563C22D13×H(5,𝔽2)11yescharacteristic
1564C22D13×H(5,𝔽2)11yescharacteristic
1565C22#1171965011yescharacteristic
1566C22D13×2−1+411yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—262no—
1580C4—262no—
1581C4—262no—
1582C4—262no—
1583C4—262no—
1584C4—262no—
1585C4—262no—
1586C4—521no—
1587C4—521no—
1588C4—521no—
1589C4—521no—
1590C4—521no—
1591C4—521no—
1592C4—521no—
1593C2—42no—
1594C2—42no—
1595C2—42no—
1596C2—264no—
1597C2—522no—
1598C2D13×#52011yescharacteristic
1599C2#1312804011yescharacteristic
1600C2C4×#8825111yescharacteristic
1601C2#1312901611yescharacteristic
1602C2#1312905411yescharacteristic
1603C2#1312934711yescharacteristic
1604C2#1312945311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutatorC22×C13C24×C4
FittingC13×#2325C2
socle, cosocleC23×C13C25
prime radicalC2×#11719318C2
hypercenter#2325D13
hypocenterC13#34424
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
2. #13118006C2semidirect
3. #13118005C2semidirect
4. #13117980C2semidirect
5. #13117979C2semidirect
6. #13117909C2semidirect
7. #13117904C2semidirect
8. #13117834C2semidirect
9. #13117824C2semidirect
10. #13117819C2semidirect
11. #13117819C2semidirect
12. #13117816C2semidirect
13. #13117813C2semidirect
14. #13117764C2semidirect
15. #13117758C2semidirect
16. #13117743C2semidirect
17. #13117742C2semidirect
18. #13117618C2semidirect
19. #13117617C2semidirect
20. #13117616C2semidirect
21. #13117612C2semidirect
22. #13117563C2semidirect
23. #13117538C2semidirect
24. #13117534C2semidirect
25. #13117531C2semidirect
26. #13117526C2semidirect
27. #13117447C2semidirect
28. #13117370C2semidirect
29. C4×#88192C2semidirect
30. D13×#388C2semidirect
31. C13×#2325C2semidirect
34. C2×C4×D4×C13C22semidirect
50. C2×#88180C22semidirect
51. #11719318C4semidirect
55. C2×#88141C22semidirect
64. C2×#88131C22semidirect
67. C13×#388C22semidirect
68. C13×#387C22semidirect
69. C13×#387C22semidirect
73. C13×#386C22semidirect
75. C13×#385C22semidirect
76. C13×#380C22semidirect
77. C2×C13×#95C22semidirect
80. #11718882C22semidirect
82. #11718881C22semidirect
84. #11718873C22semidirect
87. #11718871C22semidirect
88. #11718871C22semidirect
89. #11718871C22semidirect
91. C4×C22⋊Dic13C22semidirect
92. C4×C22⋊Dic13C22semidirect
93. C2×#88071C22semidirect
101. #11718646C22semidirect
102. #11718639C22semidirect
103. #11718639C22semidirect
104. #11718638C22semidirect
105. C4⋊C4×Dic13C22semidirect
106. C4⋊C4×Dic13C22semidirect
107. C4⋊C4×Dic13C22semidirect
108. #11718634C22semidirect
109. #11718633C22semidirect
120. #11718612C22semidirect
122. #11718611C22semidirect
125. #11718607C22semidirect
131. #11718606C22semidirect
133. #11718605C22semidirect
134. #11718605C22semidirect
135. #11718605C22semidirect
136. #11718605C22semidirect
137. #11718605C22semidirect
138. #11718603C22semidirect
139. #11718603C22semidirect
144. C4×C4⋊Dic13C22semidirect
145. #11718594C22semidirect
146. C4×#6101C22semidirect
147. #11718590C22semidirect
168. #11718316C22semidirect
169. #11718316C22semidirect
170. #11718315C22semidirect
171. #11718314C22semidirect
172. #11718313C22semidirect
173. #11718313C22semidirect
174. #11718313C22semidirect
175. #11718311C22semidirect
176. #11718311C22semidirect
177. #11718311C22semidirect
178. #11718310C22semidirect
179. #11718310C22semidirect
180. #11718310C22semidirect
181. #11718308C22semidirect
182. #11718308C22semidirect
183. #11718308C22semidirect
184. #11718308C22semidirect
185. #11718308C22semidirect
186. #11718307C22semidirect
187. #11718307C22semidirect
213. C13×#121C2×C4semidirect
249. #88193C2×C4semidirect
250. #88192C2×C4semidirect
251. #88191C2×C4semidirect
252. #88191C2×C4semidirect
253. #88190C2×C4semidirect
254. #88189C2×C4semidirect
256. #88183C2×C4semidirect
262. C4×C22⋊D13C2×C4semidirect
322. #88152C2×C4semidirect
323. #88150C2×C4semidirect
326. #88139C2×C4semidirect
328. #88135C2×C4semidirect
332. C22⋊C4×D13C2×C4semidirect
333. #88133C2×C4semidirect
601. #2325D13semidirect
777. C2×C4×D4C2×D13semidirect
826. #388C2×D13semidirect
837. #387C2×D13semidirect
838. #387C2×D13semidirect
852. #386C2×D13semidirect
874. #385C2×D13semidirect
886. #380C2×D13semidirect
908. C2×#95C2×D13semidirect
1012. #121C4×D13semidirect
1378. C13#34424semidirect

Maximal subgroups

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

subgroupindex
C2×#117193182
#131180062
#131180052
#131179802
#131179792
#131179092
#131179042
#131178342
#131178242
#131178192
#131178162
#131178132
#131177642
#131177582
#131177432
#131177422
#131176182
#131176172
#131176162
#131176122
#131175632
#131175382
#131175342
#131175312
#131175262
#131174472
#131173702
C4×#881922
D13×#3882
C13×#23252
#3442413