Finite Group Databasebeta

← #16030681

Subgroups — #16030681

Order 3328.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11719354C211yesmaximal, characteristic, complemented
2C22×D4×Dic13C211yesmaximal, characteristic, complemented
3#13119094C211yesmaximal, characteristic, complemented
4#13119079C211yesmaximal, characteristic, complemented
5#13118974C211yesmaximal, characteristic, complemented
6#13118959C211yesmaximal, characteristic, complemented
7#13118880C211yesmaximal, characteristic, complemented
8#13118865C211yesmaximal, characteristic, complemented
9#13118781C211yesmaximal, characteristic, complemented
10#13118766C211yesmaximal, characteristic, complemented
11#13118666C211yesmaximal, characteristic, complemented
12#13118584C211yesmaximal, characteristic, complemented
13#13118502C211yesmaximal, characteristic, complemented
14#13118391C211yesmaximal, characteristic, complemented
15#13118309C211yesmaximal, characteristic, complemented
16#13118232C211yesmaximal, characteristic, complemented
17#13118210C211yesmaximal, characteristic
18#13118124C211yesmaximal, characteristic, complemented
19#13118092C211yesmaximal, characteristic, complemented
20#13118079C211yesmaximal, characteristic, complemented
21#13118075C211yesmaximal, characteristic, complemented
22#13117368C211yesmaximal, characteristic, complemented
23#123×Dic13C211yesmaximal, characteristic, complemented
24#13117346C211yesmaximal, characteristic, complemented
25#13117335C211yesmaximal, characteristic, complemented
26#13117335C211yesmaximal, characteristic, complemented
27#13117276C211yesmaximal, characteristic, complemented
28#13117272C211yesmaximal, characteristic, complemented
29#13117214C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic13C211yesmaximal, characteristic, complemented
31C13×#2405C211yesmaximal, characteristic, complemented
32C23×D4×C13C2211yescharacteristic
33C24×Dic13C2211yescharacteristic
34C24×Dic13C2211yescharacteristic
35C2×C13×#123C2211yescharacteristic
36C2×C13×#123C2211yescharacteristic
37C22×C13×C22⋊C4C2211yescharacteristic
38C2×#88207C2211yescharacteristic
39C2×#88207C2211yescharacteristic
40C22×C22⋊Dic13C2211yescharacteristic
41C22×C22⋊Dic13C2211yescharacteristic
42C22×C22⋊Dic13C2211yescharacteristic
43C2×#88193C2211yescharacteristic
44C2×#88193C2211yescharacteristic
45C2×D4×Dic13—28no—
46C2×D4×Dic13C2211yescharacteristic
47C2×D4×Dic13C2211yescharacteristic
48C2×D4×Dic13C2211yescharacteristic
49C2×D4×Dic13C2211yescharacteristic
50C2×D4×Dic13C2211yescharacteristic
51C2×D4×Dic13C2211yescharacteristic
52C2×D4×Dic13C2211yescharacteristic
53C2×D4×Dic13C2211yescharacteristic
54C2×#88183C2211yescharacteristic, complemented
55C22×C4⋊Dic13C2211yescharacteristic
56C22×C4×Dic13C2211yescharacteristic
57C22×C4×Dic13C2211yescharacteristic, complemented
58C22×C4×Dic13C2211yescharacteristic, complemented
59#11719354—28no—
60C2×#88152C2211yescharacteristic, complemented
61C2×#88146C2211yescharacteristic, complemented
62C2×#88143C2211yescharacteristic, complemented
63C2×#88141C2211yescharacteristic, complemented
64C2×#88139C2211yescharacteristic, complemented
65C2×#88135C2211yescharacteristic
66C2×#88135C2211yescharacteristic, complemented
67C2×#88135C2211yescharacteristic, complemented
68C2×#88135C2211yescharacteristic, complemented
69C2×#88135C2211yescharacteristic, complemented
70C2×#88133C2211yescharacteristic, complemented
71C2×#88132C2211yescharacteristic
72C2×#88132C2211yescharacteristic, complemented
73C2×#88131C2211yescharacteristic, complemented
74C2×#88131C2211yescharacteristic, complemented
75C13×#394C2211yescharacteristic
76C13×#394C2211yescharacteristic
77C13×#394C2211yescharacteristic
78C13×#394C2211yescharacteristic
79C13×#386C2211yescharacteristic
80C13×#386C2211yescharacteristic
81C13×#385C2211yescharacteristic
82C13×#385C2211yescharacteristic
83C13×#379C2211yescharacteristic
84C13×#379C2211yescharacteristic
85C13×#379C2211yescharacteristic
86#11718908C2211yescharacteristic
87#11718884C2211yescharacteristic
88#11718884C2211yescharacteristic
89#11718883C2211yescharacteristic
90#11718883C2211yescharacteristic
91#11718881C2211yescharacteristic
92#11718881C2211yescharacteristic
93#11718874C2211yescharacteristic
94#11718874C2211yescharacteristic, complemented
95#11718872C2211yescharacteristic, complemented
96#11718871C2211yescharacteristic
97#11718871C2211yescharacteristic, complemented
98C2×#88071C2211yescharacteristic, complemented
99C2×#88071C2211yescharacteristic, complemented
100#11718655C2211yescharacteristic, complemented
101#11718651C2211yescharacteristic, complemented
102#11718647C2211yescharacteristic, complemented
103#11718645C2211yescharacteristic, complemented
104#11718644C2211yescharacteristic, complemented
105#11718642C2211yescharacteristic, complemented
106#11718642C2211yescharacteristic, complemented
107#11718639C2211yescharacteristic, complemented
108#11718639C2211yescharacteristic, complemented
109C4⋊C4×Dic13C2211yescharacteristic, complemented
110C4⋊C4×Dic13C2211yescharacteristic, complemented
111#11718633C2211yescharacteristic, complemented
112#11718622C2211yescharacteristic, complemented
113#11718620C2211yescharacteristic, complemented
114#11718620C2211yescharacteristic, complemented
115#11718620C2211yescharacteristic, complemented
116#11718619C2211yescharacteristic
117#11718619C2211yescharacteristic
118#11718619C2211yescharacteristic
119#11718619C2211yescharacteristic, complemented
120#11718619C2211yescharacteristic, complemented
121#11718619C2211yescharacteristic, complemented
122#11718619C2211yescharacteristic, complemented
123#11718618C2211yescharacteristic, complemented
124#11718614C2211yescharacteristic, complemented
125#11718613C2211yescharacteristic, complemented
126#11718613C2211yescharacteristic, complemented
127#11718613C2211yescharacteristic, complemented
128#11718613C2211yescharacteristic, complemented
129#11718613C2211yescharacteristic, complemented
130#11718612C2211yescharacteristic, complemented
131#11718612C2211yescharacteristic, complemented
132#11718611C2211yescharacteristic
133#11718611C2211yescharacteristic, complemented
134#11718610C2211yescharacteristic, complemented
135#11718609C2211yescharacteristic, complemented
136#11718609C2211yescharacteristic, complemented
137#11718609C2211yescharacteristic, complemented
138#11718608C2211yescharacteristic, complemented
139#11718608C2211yescharacteristic, complemented
140#11718607C2211yescharacteristic
141#11718607C2211yescharacteristic
142#11718607C2211yescharacteristic, complemented
143#11718607C2211yescharacteristic, complemented
144#11718607C2211yescharacteristic, complemented
145#11718607C2211yescharacteristic, complemented
146#11718607C2211yescharacteristic, complemented
147#11718606C2211yescharacteristic, complemented
148#11718605C2211yescharacteristic, complemented
149#11718605C2211yescharacteristic, complemented
150#11718604C2211yescharacteristic, complemented
151#11718604C2211yescharacteristic, complemented
152#11718603C2211yescharacteristic
153#11718603C2211yescharacteristic
154#11718603C2211yescharacteristic
155#11718603C2211yescharacteristic, complemented
156#11718603C2211yescharacteristic, complemented
157#11718603C2211yescharacteristic, complemented
158C22⋊C4×Dic13C2211yescharacteristic
159C22⋊C4×Dic13C2211yescharacteristic
160C22⋊C4×Dic13C2211yescharacteristic
161C22⋊C4×Dic13C2211yescharacteristic
162C22⋊C4×Dic13C2211yescharacteristic
163C22⋊C4×Dic13C2211yescharacteristic, complemented
164C22⋊C4×Dic13C2211yescharacteristic, complemented
165C22⋊C4×Dic13C2211yescharacteristic, complemented
166C22⋊C4×Dic13C2211yescharacteristic, complemented
167C22⋊C4×Dic13C2211yescharacteristic, complemented
168C22⋊C4×Dic13C2211yescharacteristic, complemented
169C22⋊C4×Dic13C2211yescharacteristic, complemented
170C22⋊C4×Dic13C2211yescharacteristic, complemented
171C22⋊C4×Dic13C2211yescharacteristic, complemented
172C22⋊C4×Dic13C2211yescharacteristic, complemented
173#11718335C2211yescharacteristic, complemented
174#11718331C2211yescharacteristic, complemented
175#11718331C2211yescharacteristic, complemented
176#11718327C2211yescharacteristic, complemented
177#11718321C2211yescharacteristic, complemented
178#11718320C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718316C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718310C2211yescharacteristic, complemented
185#11718310C2211yescharacteristic, complemented
186#11718309C2211yescharacteristic, complemented
187#11718308C2211yescharacteristic, complemented
188#11718307C2211yescharacteristic, complemented
189C25×C13C2311yescharacteristic
190C25×C13C2311yescharacteristic
191C22×D4×C13—24no—
192C22×D4×C13—24no—
193C22×D4×C13—24no—
194C22×D4×C13C2311yescharacteristic
195C22×D4×C13C2311yescharacteristic
196C22×D4×C13C2311yescharacteristic
197C22×D4×C13C2311yescharacteristic
198C23×C4×C13C2311yescharacteristic
199C23×C4×C13C2311yescharacteristic
200C23×C4×C13C2311yescharacteristic
201C22×C22⋊D13C2311yescharacteristic
202C22×C22⋊D13C2311yescharacteristic
203C22×C22⋊D13C2311yescharacteristic
204C22×C22⋊D13C2311yescharacteristic
205C22×C22⋊D13C2311yescharacteristic
206C23×Dic13—24no—
207C23×Dic13—24no—
208C23×Dic13—24no—
209C23×Dic13—24no—
210C23×Dic13—42no—
211C23×Dic13—42no—
212C23×Dic13C2311yescharacteristic
213C23×Dic13C2311yescharacteristic
214C23×Dic13C2311yescharacteristic
215C23×Dic13C2311yescharacteristic
216C23×Dic13C2311yescharacteristic
217C23×Dic13C2311yescharacteristic
218C23×Dic13C2311yescharacteristic
219C23×Dic13C2311yescharacteristic
220C23×Dic13C2311yescharacteristic
221C23×Dic13C2311yescharacteristic
222C23×Dic13C2311yescharacteristic
223C23×Dic13C2311yescharacteristic
224C23×Dic13C2311yescharacteristic
225C23×Dic13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×Dic26C2311yescharacteristic
228C13×#123—24no—
229C13×#123—24no—
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C4⋊C4C2311yescharacteristic
233C2×C13×C4⋊C4C2311yescharacteristic
234C2×C13×C22⋊C4—24no—
235C2×C13×C22⋊C4C2311yescharacteristic
236C2×C13×C22⋊C4C2311yescharacteristic
237C2×C13×C22⋊C4C2311yescharacteristic
238C2×C13×C22⋊C4C2311yescharacteristic
239C2×C13×C22⋊C4C2311yescharacteristic
240C2×C13×C22⋊C4C2311yescharacteristic
241C2×C13×C22⋊C4C2311yescharacteristic
242C2×C13×C22⋊C4C2311yescharacteristic
243C2×C13×C22⋊C4C2311yescharacteristic
244C2×C13×C22⋊C4C2311yescharacteristic
245C2×C13×C22⋊C4C2311yescharacteristic
246C2×C13×C22⋊C4C2311yescharacteristic
247C2×C13×C22⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253#88207—24no—
254#88207—24no—
255C2×C22⋊Dic13—24no—
256C2×C22⋊Dic13—24no—
257C2×C22⋊Dic13—24no—
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265C2×C22⋊Dic13C2311yescharacteristic
266C2×C22⋊Dic13C2311yescharacteristic
267C2×C22⋊Dic13C2311yescharacteristic
268C2×C22⋊Dic13C2311yescharacteristic
269C2×C22⋊Dic13C2311yescharacteristic
270C2×C22⋊Dic13C2311yescharacteristic
271C2×C22⋊Dic13C2311yescharacteristic
272C2×C22⋊Dic13C2311yescharacteristic
273C2×C22⋊Dic13C2311yescharacteristic
274C2×C22⋊Dic13C2311yescharacteristic
275C2×C22⋊Dic13C2311yescharacteristic
276C2×C22⋊Dic13C2311yescharacteristic
277C2×C22⋊Dic13C2311yescharacteristic
278C2×C22⋊Dic13C2311yescharacteristic
279#88193—24no—
280#88193—24no—
281D4×Dic13—24no—
282D4×Dic13—24no—
283D4×Dic13—24no—
284D4×Dic13—24no—
285D4×Dic13—24no—
286D4×Dic13—24no—
287D4×Dic13—24no—
288D4×Dic13D418yescomplemented
289#88183—24no—
290C2×#6103C2311yescharacteristic
291C2×#6103C2311yescharacteristic
292C2×#6103C2311yescharacteristic
293C2×#6103C2311yescharacteristic
294C2×#6103C2311yescharacteristic
295C2×#6103C2311yescharacteristic
296C2×#6103C2311yescharacteristic
297C2×#6103C2311yescharacteristic
298C2×#6103C2311yescharacteristic
299C2×C4⋊Dic13—24no—
300C2×C4⋊Dic13C2311yescharacteristic
301C2×C4⋊Dic13C2311yescharacteristic
302C2×C4⋊Dic13C2311yescharacteristic
303C2×C4⋊Dic13C2311yescharacteristic
304C2×C4⋊Dic13C2311yescharacteristic
305C2×C4⋊Dic13C2311yescharacteristic
306C2×C4⋊Dic13C2311yescharacteristic
307C2×#6101C2311yescharacteristic
308C2×#6101C2311yescharacteristic
309C2×#6101C2311yescharacteristic
310C2×#6101C2311yescharacteristic
311C2×#6101C2311yescharacteristic
312C2×#6101C2311yescharacteristic
313C2×#6101C2311yescharacteristic
314C2×#6101C2311yescharacteristic
315C2×#6101C2311yescharacteristic
316C2×#6101C2311yescharacteristic
317C2×#6101C2311yescharacteristic
318C2×#6101C2311yescharacteristic
319C2×#6101C2311yescharacteristic
320C2×#6101C2311yescharacteristic
321C2×#6101C2311yescharacteristic
322C2×C4×Dic13—24no—
323C2×C4×Dic13—24no—
324C2×C4×Dic13—42no—
325C2×C4×Dic13C2311yescharacteristic
326C2×C4×Dic13C2311yescharacteristic
327C2×C4×Dic13C2311yescharacteristic
328C2×C4×Dic13C2311yescharacteristic
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×C4×Dic13C2311yescharacteristic
332C2×C4×Dic13C2311yescharacteristic
333C2×C4×Dic13C2311yescharacteristic
334C2×C4×Dic13C2311yescharacteristic
335C2×C4×Dic13C2311yescharacteristic
336C2×C4×Dic13C2311yescharacteristic
337C2×C4×Dic13C2311yescharacteristic
338C2×C4×Dic13C2311yescharacteristic
339C2×C4×Dic13C2311yescharacteristic
340#88152—24no—
341#88146—24no—
342#88143—24no—
343#88141—24no—
344#88139—24no—
345#88135—24no—
346#88135—24no—
347#88135—24no—
348#88135—42no—
349#88135—42no—
350#88133—24no—
351#88132—24no—
352#88132—24no—
353#88131—24no—
354#88131—42no—
355C13×#95C2311yescharacteristic
356C13×#95C2311yescharacteristic
357C13×#95C2311yescharacteristic
358C13×#95C2311yescharacteristic
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#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391#34670—131nomaximal, Sylow
392C24×C13—22no—
393C24×C13—22no—
394C24×C13—22no—
395C24×C13—22no—
396C24×C13—22no—
397C24×C13—22no—
398C24×C13—22no—
399C24×C13—22no—
400C24×C13—22no—
401C24×C13—41no—
402C24×C13—41no—
403C24×C13—41no—
404C24×C13—41no—
405C24×C13#4114yes—
406C24×C13C2411yescharacteristic
407C24×C13C2411yescharacteristic
408C24×C13C2411yescharacteristic
409C24×C13C2411yescharacteristic
410C24×C13C2411yescharacteristic
411C23×D13C2411yescharacteristic
412C2×D4×C13—232no—
413C2×D4×C13—22no—
414C2×D4×C13—22no—
415C2×D4×C13—22no—
416C2×D4×C13—22no—
417C2×D4×C13—22no—
418C2×D4×C13—22no—
419C2×D4×C13—22no—
420C2×D4×C13—22no—
421C2×D4×C13—22no—
422C2×D4×C13—22no—
423C2×D4×C13C2×D414yes—
424C2×D4×C13#4114yes—
425C22×C4×C13—22no—
426C22×C4×C13—22no—
427C22×C4×C13—22no—
428C22×C4×C13—22no—
429C22×C4×C13—22no—
430C22×C4×C13—22no—
431C22×C4×C13—22no—
432C22×C4×C13—41no—
433C22×C4×C13—41no—
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C22×C4×C13C2411yescharacteristic
440C22×C4×C13C2411yescharacteristic
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C2×C22⋊D13—22no—
445C2×C22⋊D13—22no—
446C2×C22⋊D13—22no—
447C2×C22⋊D13—22no—
448C2×C22⋊D13—22no—
449C2×C22⋊D13—22no—
450C2×C22⋊D13—22no—
451C2×C22⋊D13—22no—
452C2×C22⋊D13—22no—
453C2×C22⋊D13—22no—
454C2×C22⋊D13—22no—
455C2×C22⋊D13—41no—
456C2×C22⋊D13—41no—
457C2×C22⋊D13—41no—
458C2×C22⋊D13—41no—
459C22×Dic13—22no—
460C22×Dic13—22no—
461C22×Dic13—22no—
462C22×Dic13—22no—
463C22×Dic13—22no—
464C22×Dic13—22no—
465C22×Dic13—22no—
466C22×Dic13—22no—
467C22×Dic13—22no—
468C22×Dic13—22no—
469C22×Dic13—22no—
470C22×Dic13—22no—
471C22×Dic13—22no—
472C22×Dic13—22no—
473C22×Dic13—22no—
474C22×Dic13—22no—
475C22×Dic13—22no—
476C22×Dic13—22no—
477C22×Dic13—22no—
478C22×Dic13—22no—
479C22×Dic13—22no—
480C22×Dic13—22no—
481C22×Dic13—22no—
482C22×Dic13—22no—
483C22×Dic13—22no—
484C22×Dic13—22no—
485C22×Dic13—22no—
486C22×Dic13—22no—
487C22×Dic13—22no—
488C22×Dic13—22no—
489C22×Dic13—41no—
490C22×Dic13—41no—
491C22×Dic13—41no—
492C22×Dic13—41no—
493C22×Dic13—41no—
494C22×Dic13—41no—
495C22×Dic13—41no—
496C22×Dic13—41no—
497C22×Dic13—41no—
498C22×Dic13—416no—
499C22×Dic13—416no—
500C22×Dic13C2×D414yes—
501C22×Dic13C2×D414yes—
502C22×Dic13#4114yes—
503C22×Dic13C2411yescharacteristic
504C22×Dic13C2411yescharacteristic
505C22×Dic13C2411yescharacteristic
506C22×Dic13C2411yescharacteristic
507C22×Dic13C2411yescharacteristic
508C22×Dic13C2411yescharacteristic
509C22×Dic13C2411yescharacteristic
510C22×Dic13C2411yescharacteristic
511C22×Dic13C2411yescharacteristic
512C22×Dic13C2411yescharacteristic
513C22×Dic13C2411yescharacteristic
514C22×Dic13C2411yescharacteristic
515C22×Dic13C2411yescharacteristic
516C22×Dic13C2411yescharacteristic
517C22×Dic13C2411yescharacteristic
518C2×C4×D13—22no—
519C2×C4×D13—22no—
520C2×C4×D13—22no—
521C2×Dic26—22no—
522C2×Dic26—22no—
523C2×Dic26—41no—
524C13×C4⋊C4—22no—
525C13×C4⋊C4—22no—
526C13×C4⋊C4—22no—
527C13×C4⋊C4—22no—
528C13×C22⋊C4—22no—
529C13×C22⋊C4—22no—
530C13×C22⋊C4—22no—
531C13×C22⋊C4—22no—
532C13×C22⋊C4—22no—
533C13×C22⋊C4—22no—
534C13×C22⋊C4—22no—
535C13×C22⋊C4—22no—
536C13×C22⋊C4—22no—
537C13×C22⋊C4—22no—
538C13×C22⋊C4—22no—
539C13×C22⋊C4—22no—
540C13×C22⋊C4—41no—
541C13×C22⋊C4—41no—
542C13×C22⋊C4—41no—
543C13×C22⋊C4—41no—
544C13×C22⋊C4—41no—
545C13×C22⋊C4—41no—
546C22⋊Dic13—22no—
547C22⋊Dic13—22no—
548C22⋊Dic13—22no—
549C22⋊Dic13—22no—
550C22⋊Dic13—22no—
551C22⋊Dic13—22no—
552C22⋊Dic13—22no—
553C22⋊Dic13—22no—
554C22⋊Dic13—22no—
555C22⋊Dic13—22no—
556C22⋊Dic13—22no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—22no—
560C22⋊Dic13—22no—
561C22⋊Dic13—22no—
562C22⋊Dic13—41no—
563C22⋊Dic13—41no—
564C22⋊Dic13C2×D414yes—
565C22⋊Dic13C2×D414yes—
566C22⋊Dic13#4114yes—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—41no—
574#6103—41no—
575#6103—41no—
576C4⋊Dic13—22no—
577C4⋊Dic13—22no—
578C4⋊Dic13—22no—
579C4⋊Dic13—22no—
580C4⋊Dic13—22no—
581C4⋊Dic13—41no—
582C4⋊Dic13C2×D414yes—
583#6101—22no—
584#6101—22no—
585#6101—22no—
586#6101—22no—
587#6101—22no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—41no—
594#6101—41no—
595#6101—41no—
596#6101—41no—
597#6101—41no—
598C4×Dic13—22no—
599C4×Dic13—22no—
600C4×Dic13—22no—
601C4×Dic13—22no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C4×Dic13—22no—
606C4×Dic13—22no—
607C4×Dic13—22no—
608C4×Dic13—22no—
609C4×Dic13—22no—
610C4×Dic13—41no—
611C4×Dic13—41no—
612C4×Dic13C2×D414yes—
613C2×#529—131no—
614C22×C4×D4—131no—
615#2481—131no—
616#2480—131no—
617#2473—131no—
618#2472—131no—
619#2467—131no—
620#2466—131no—
621#2460—131no—
622#2459—131no—
623#2450—131no—
624#2444—131no—
625#2437—131no—
626#2425—131no—
627#2419—131no—
628#2412—131no—
629#2410—131no—
630#2405D1311yescharacteristic, complemented
631#2398—131no—
632#2395—131no—
633#2392—131no—
634#2392—131no—
635C4×C22⋊Q8—131no—
636C4×#123—131no—
637C4×#121—131no—
638C4×#120—131no—
639C4×#120—131no—
640#2290—131no—
641#2290—131no—
642#2280—131no—
643C2×C4×C22⋊C4—131no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13—21no—
647C23×C13—21no—
648C23×C13—21no—
649C23×C13—21no—
650C23×C13—21no—
651C23×C13—21no—
652C23×C13—28no—
653C23×C13—28no—
654C23×C13—28no—
655C23×C13—21no—
656C23×C13—21no—
657C23×C13—21no—
658C23×C13—21no—
659C23×C13—21no—
660C23×C13—21no—
661C23×C13—21no—
662C23×C13—21no—
663C23×C13—21no—
664C23×C13—21no—
665C23×C13—21no—
666C23×C13—21no—
667C23×C13—21no—
668C23×C13—21no—
669C23×C13—21no—
670C23×C13—21no—
671C23×C13—21no—
672C23×C13—21no—
673C23×C13—44no—
674C23×C13—44no—
675C23×C13—44no—
676C23×C13—44no—
677C23×C13—44no—
678C23×C13—44no—
679C23×C13—44no—
680C23×C13—44no—
681C23×C13—44no—
682C23×C13—44no—
683C23×C13—44no—
684C23×C13C22×D412yes—
685C23×C13C22×D412yes—
686C23×C13C2×#4112yes—
687C23×C13C2×#4112yes—
688C23×C13C2×#4112yes—
689C23×C13C2×#4112yes—
690C23×C13C2×#4112yes—
691C23×C13C2×#4112yes—
692C23×C13C2×#4112yes—
693C23×C13C2511yescharacteristic
694C22×D13—21no—
695C22×D13—21no—
696C22×D13—21no—
697C22×D13—21no—
698C22×D13—21no—
699C22×D13—21no—
700C22×D13—21no—
701D4×C13—28no—
702D4×C13—28no—
703D4×C13—28no—
704D4×C13—28no—
705C2×C4×C13—28no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—21no—
724C2×C4×C13—21no—
725C2×C4×C13—21no—
726C2×C4×C13—21no—
727C2×C4×C13—21no—
728C2×C4×C13—21no—
729C2×C4×C13—21no—
730C2×C4×C13—21no—
731C2×C4×C13—21no—
732C2×C4×C13—21no—
733C2×C4×C13—21no—
734C2×C4×C13—44no—
735C2×C4×C13—44no—
736C2×C4×C13C22×D412yes—
737C2×C4×C13C2×#4112yes—
738C22⋊D13—44no—
739C22⋊D13—44no—
740C22⋊D13—44no—
741C22⋊D13—44no—
742C22⋊D13—44no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—28no—
756C2×Dic13—28no—
757C2×Dic13—28no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—21no—
769C2×Dic13—21no—
770C2×Dic13—21no—
771C2×Dic13—21no—
772C2×Dic13—21no—
773C2×Dic13—21no—
774C2×Dic13—21no—
775C2×Dic13—21no—
776C2×Dic13—21no—
777C2×Dic13—21no—
778C2×Dic13—21no—
779C2×Dic13—21no—
780C2×Dic13—21no—
781C2×Dic13—21no—
782C2×Dic13—44no—
783C2×Dic13—44no—
784C2×Dic13—44no—
785C2×Dic13—44no—
786C2×Dic13—44no—
787C2×Dic13—44no—
788C2×Dic13—44no—
789C2×Dic13—44no—
790C2×Dic13—44no—
791C2×Dic13—44no—
792C2×Dic13—44no—
793C2×Dic13C22×D412yes—
794C2×Dic13C22×D412yes—
795C2×Dic13C22×D412yes—
796C2×Dic13C22×D412yes—
797C2×Dic13C2×#4112yes—
798C2×Dic13C2×#4112yes—
799C2×Dic13C2×#4112yes—
800C2×Dic13C2×#4112yes—
801C2×Dic13H(5,𝔽2)12yes—
802C4×D13—44no—
803Dic26—44no—
804C23×D4C2×D1311yescharacteristic
805C24×C4—131no—
806C24×C4—131no—
807#529—268no—
808C2×#126—131no—
809C2×#126—131no—
810C2×#125—131no—
811C2×#124—131no—
812C2×#123—131no—
813C2×#123C2×D1311yescharacteristic
814C2×#123C2×D1311yescharacteristic
815C2×C22⋊Q8—131no—
816C2×C22⋊Q8—131no—
817C2×#121—131no—
818C2×#121—131no—
819C2×#120—131no—
820C2×#120—131no—
821C2×C4×Q8—131no—
822C2×C4×D4—131no—
823C2×C4×D4—131no—
824C2×C4×D4—131no—
825C2×C4×D4—131no—
826C2×C4×D4—131no—
827C2×C4×D4—131no—
828C2×C4×D4—131no—
829C2×C4×D4—131no—
830C2×C4×D4—131no—
831C2×C4×D4—131no—
832C2×C4×D4—131no—
833C2×C4×D4—131no—
834C2×C4×D4—131no—
835C2×C4×D4—268no—
836C2×#117—131no—
837C2×#117—131no—
838C2×#117—131no—
839C22×C4⋊C4—131no—
840C22×C22⋊C4—131no—
841C22×C22⋊C4—131no—
842C22×C22⋊C4—131no—
843C22×C22⋊C4C2×D1311yescharacteristic
844C22×C42—131no—
845C22×C42—131no—
846C22×C42—131no—
847#400—131no—
848#400—131no—
849#400—131no—
850#399—131no—
851#398—131no—
852#398—131no—
853#398—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#396—131no—
862#396—131no—
863#396—131no—
864#396—131no—
865#394—131no—
866#394—131no—
867#394—131no—
868#394—131no—
869#394—131no—
870#394—131no—
871#394C2×D1311yescharacteristic
872#394C2×D1311yescharacteristic
873#394C2×D1311yescharacteristic
874#394C2×D1311yescharacteristic
875#393—131no—
876#393—131no—
877#392—131no—
878#392—131no—
879#391—131no—
880#390—131no—
881#389—131no—
882#389—131no—
883#388—131no—
884#388—131no—
885#388—131no—
886#388—131no—
887#388—131no—
888#388—131no—
889#388—131no—
890#388—131no—
891#387—131no—
892#387—131no—
893#387—131no—
894#387—131no—
895#387—131no—
896#387—131no—
897#387—131no—
898#387—131no—
899#386—131no—
900#386—131no—
901#386—131no—
902#386—131no—
903#386—131no—
904#386—131no—
905#386—131no—
906#386—131no—
907#386—131no—
908#386—131no—
909#386—131no—
910#386C2×D1311yescharacteristic
911#386C2×D1311yescharacteristic
912#385—131no—
913#385—131no—
914#385—131no—
915#385—131no—
916#385—131no—
917#385—131no—
918#385—131no—
919#385—131no—
920#385—131no—
921#385—131no—
922#385—131no—
923#385C2×D1311yescharacteristic
924#385C2×D1311yescharacteristic
925#381—131no—
926#381—131no—
927#381—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380—131no—
932#380—131no—
933#380—131no—
934#379—131no—
935#379C2×D1311yescharacteristic
936#379C2×D1311yescharacteristic
937#379C2×D1311yescharacteristic
938C4×C4⋊C4—131no—
939C4×C4⋊C4—131no—
940C4×C4⋊C4—131no—
941C4×C4⋊C4—131no—
942C4×C22⋊C4—131no—
943C4×C22⋊C4—131no—
944C4×C22⋊C4—131no—
945C4×C22⋊C4—131no—
946C4×C22⋊C4—131no—
947C4×C22⋊C4—131no—
948C4×C22⋊C4—131no—
949C4×C22⋊C4—131no—
950C4×C22⋊C4—131no—
951C4×C22⋊C4—131no—
952C4×C22⋊C4—131no—
953C4×C22⋊C4—131no—
954C4×C22⋊C4—131no—
955C4×C22⋊C4—131no—
956C4×C22⋊C4—131no—
957C4×C22⋊C4—131no—
958#376—131no—
959C2×#95—131no—
960C2×#95—131no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—22no—
964C22×C13—22no—
965C22×C13—22no—
966C22×C13—22no—
967C22×C13—22no—
968C22×C13—22no—
969C22×C13—22no—
970C22×C13—22no—
971C22×C13—22no—
972C22×C13—22no—
973C22×C13—22no—
974C22×C13—22no—
975C22×C13—22no—
976C22×C13—22no—
977C22×C13—22no—
978C22×C13—22no—
979C22×C13—22no—
980C22×C13—22no—
981C22×C13—22no—
982C22×C13—416no—
983C22×C13—416no—
984C22×C13—41no—
985C22×C13—41no—
986C22×C13—41no—
987C22×C13—41no—
988C22×C13—41no—
989C22×C13—41no—
990C22×C13—41no—
991C22×C13—41no—
992C22×C13—41no—
993C22×C13—41no—
994C22×C13—41no—
995C22×C13—41no—
996C22×C13#52514yes—
997C22×C13#52914yescomplemented
998C22×C13C23×D411yescharacteristic
999C22×C13C22×#4111yescharacteristic
1000C22×C13C22×#4111yescharacteristic
1001C22×C13C22×#4111yescharacteristic
1002C22×C13C22×#4111yescharacteristic
1003C22×C13C2×H(5,𝔽2)11yescharacteristic
1004C22×C13#58511yescharacteristic
1005C2×D13—41no—
1006C2×D13—41no—
1007C2×D13—41no—
1008C2×D13—41no—
1009C2×D13—41no—
1010C2×D13—41no—
1011C2×D13—41no—
1012C4×C13—22no—
1013C4×C13—22no—
1014C4×C13—41no—
1015C4×C13—41no—
1016C4×C13—41no—
1017C4×C13—41no—
1018C4×C13—41no—
1019C4×C13—41no—
1020C4×C13—41no—
1021C4×C13—41no—
1022Dic13—22no—
1023Dic13—22no—
1024Dic13—22no—
1025Dic13—22no—
1026Dic13—22no—
1027Dic13—22no—
1028Dic13—41no—
1029Dic13—41no—
1030Dic13—41no—
1031Dic13—41no—
1032Dic13—41no—
1033Dic13—41no—
1034Dic13—41no—
1035Dic13—41no—
1036Dic13#54614yes—
1037C25C22×D1311yescharacteristic
1038C25C22×D1311yescharacteristic
1039C22×Q8—131no—
1040C22×D4—24no—
1041C22×D4—24no—
1042C22×D4—24no—
1043C22×D4—131no—
1044C22×D4—131no—
1045C22×D4—131no—
1046C22×D4—131no—
1047C22×D4—131no—
1048C22×D4C22×D1311yescharacteristic
1049C22×D4C22×D1311yescharacteristic
1050C22×D4C22×D1311yescharacteristic
1051C22×D4C22×D1311yescharacteristic
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—131no—
1059C23×C4—131no—
1060C23×C4—131no—
1061C23×C4—131no—
1062C23×C4—131no—
1063C23×C4—131no—
1064C23×C4—131no—
1065C23×C4—131no—
1066C23×C4—131no—
1067C23×C4—264no—
1068C23×C4—264no—
1069C23×C4—264no—
1070C23×C4—264no—
1071C23×C4—522no—
1072C23×C4—522no—
1073C23×C4C22×D1311yescharacteristic
1074C23×C4C22×D1311yescharacteristic
1075C23×C4C22×D1311yescharacteristic
1076#126—264no—
1077#126—264no—
1078#125—264no—
1079#124—264no—
1080#123—24no—
1081#123—24no—
1082#123—264no—
1083C22⋊Q8—264no—
1084C22⋊Q8—264no—
1085#121—264no—
1086#121—264no—
1087#120—264no—
1088#120—264no—
1089C4×Q8—264no—
1090C4×D4—138no—
1091C4×D4—264no—
1092C4×D4—264no—
1093C4×D4—264no—
1094C4×D4—264no—
1095C4×D4—264no—
1096C4×D4—264no—
1097C4×D4—264no—
1098C4×D4—264no—
1099C4×D4—264no—
1100C4×D4—264no—
1101C4×D4—522no—
1102C4×D4—522no—
1103#117—264no—
1104#117—264no—
1105#117—522no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—131no—
1112C2×C4⋊C4—131no—
1113C2×C4⋊C4—131no—
1114C2×C4⋊C4—131no—
1115C2×C4⋊C4—131no—
1116C2×C4⋊C4—131no—
1117C2×C4⋊C4—131no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—131no—
1123C2×C4⋊C4—131no—
1124C2×C4⋊C4—131no—
1125C2×C4⋊C4—131no—
1126C2×C4⋊C4—131no—
1127C2×C4⋊C4—131no—
1128C2×C4⋊C4—264no—
1129C2×C4⋊C4C22×D1311yescharacteristic
1130C2×C4⋊C4C22×D1311yescharacteristic
1131C2×C4⋊C4C22×D1311yescharacteristic
1132C2×C4⋊C4C22×D1311yescharacteristic
1133C2×C22⋊C4—24no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—131no—
1152C2×C22⋊C4—131no—
1153C2×C22⋊C4—131no—
1154C2×C22⋊C4—131no—
1155C2×C22⋊C4—131no—
1156C2×C22⋊C4—131no—
1157C2×C22⋊C4—131no—
1158C2×C22⋊C4—131no—
1159C2×C22⋊C4—131no—
1160C2×C22⋊C4—131no—
1161C2×C22⋊C4—131no—
1162C2×C22⋊C4—131no—
1163C2×C22⋊C4—131no—
1164C2×C22⋊C4—264no—
1165C2×C22⋊C4—264no—
1166C2×C22⋊C4—264no—
1167C2×C22⋊C4C22×D1311yescharacteristic
1168C2×C22⋊C4C22×D1311yescharacteristic
1169C2×C22⋊C4C22×D1311yescharacteristic
1170C2×C22⋊C4C22×D1311yescharacteristic
1171C2×C22⋊C4C22×D1311yescharacteristic
1172C2×C22⋊C4C22×D1311yescharacteristic
1173C2×C22⋊C4C22×D1311yescharacteristic
1174C2×C22⋊C4C22×D1311yescharacteristic
1175C2×C22⋊C4C22×D1311yescharacteristic
1176C2×C22⋊C4C22×D1311yescharacteristic
1177C2×C22⋊C4C22×D1311yescharacteristic
1178C2×C22⋊C4C22×D1311yescharacteristic
1179C2×C22⋊C4C22×D1311yescharacteristic
1180C2×C22⋊C4C22×D1311yescharacteristic
1181C2×C22⋊C4C22×D1311yescharacteristic
1182C2×C22⋊C4C22×D1311yescharacteristic
1183C2×C22⋊C4C22×D1311yescharacteristic
1184C2×C22⋊C4C22×D1311yescharacteristic
1185C2×C42—131no—
1186C2×C42—131no—
1187C2×C42—131no—
1188C2×C42—131no—
1189C2×C42—131no—
1190C2×C42—131no—
1191C2×C42—131no—
1192C2×C42—131no—
1193C2×C42—131no—
1194C2×C42—131no—
1195C2×C42—131no—
1196C2×C42—131no—
1197C2×C42—131no—
1198C2×C42—131no—
1199C2×C42—131no—
1200C2×C42—264no—
1201C2×C42—264no—
1202C2×C42—522no—
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95—131no—
1213#95—131no—
1214#95—131no—
1215#95—131no—
1216#95—131no—
1217#95—131no—
1218#95—131no—
1219#95—131no—
1220#95—131no—
1221#95—131no—
1222#95—131no—
1223#95—131no—
1224#95—131no—
1225#95—131no—
1226#95—131no—
1227#95—131no—
1228#95—131no—
1229#95—131no—
1230#95—131no—
1231#95—131no—
1232#95—131no—
1233#95—131no—
1234#95—131no—
1235#95C22×D1311yescharacteristic
1236#95C22×D1311yescharacteristic
1237#95C22×D1311yescharacteristic
1238#95C22×D1311yescharacteristic
1239C2×C13—24no—
1240C2×C13—24no—
1241C2×C13—42no—
1242C2×C13—42no—
1243C2×C13—42no—
1244C2×C13C2×#52511yescharacteristic
1245C2×C13C2×#52911yescharacteristic
1246C2×C13#345911yescharacteristic
1247C2×C13C2×#54611yescharacteristic
1248C2×C13D4×#4111yescharacteristic
1249C2×C13#347511yescharacteristic
1250C2×C13#348111yescharacteristic
1251D13—81no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—41no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—131no—
1266C24#612914yes—
1267C24C23×D1311yescharacteristic
1268C24C23×D1311yescharacteristic
1269C24C23×D1311yescharacteristic
1270C24C23×D1311yescharacteristic
1271C24C23×D1311yescharacteristic
1272C2×Q8—262no—
1273C2×Q8—262no—
1274C2×Q8—521no—
1275C2×D4—232no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—262no—
1287C2×D4—262no—
1288C2×D4—262no—
1289C2×D4—262no—
1290C2×D4—262no—
1291C2×D4—262no—
1292C2×D4—262no—
1293C2×D4—262no—
1294C2×D4—262no—
1295C2×D4—262no—
1296C2×D4—262no—
1297C2×D4—521no—
1298C2×D4—521no—
1299C2×D4—521no—
1300C2×D4—521no—
1301C2×D4D4×D1314yes—
1302C2×D4#612914yes—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—131no—
1313C22×C4—134no—
1314C22×C4—134no—
1315C22×C4—134no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—131no—
1319C22×C4—131no—
1320C22×C4—131no—
1321C22×C4—131no—
1322C22×C4—131no—
1323C22×C4—131no—
1324C22×C4—131no—
1325C22×C4—131no—
1326C22×C4—131no—
1327C22×C4—131no—
1328C22×C4—131no—
1329C22×C4—131no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
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—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—262no—
1351C22×C4—262no—
1352C22×C4—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—262no—
1362C22×C4—262no—
1363C22×C4—521no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—521no—
1368C22×C4—521no—
1369C22×C4—521no—
1370C22×C4—521no—
1371C22×C4—521no—
1372C22×C4—5216no—
1373C22×C4—5216no—
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—134no—
1389C4⋊C4—262no—
1390C4⋊C4—262no—
1391C4⋊C4—262no—
1392C4⋊C4—262no—
1393C4⋊C4—262no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—521no—
1405C4⋊C4—521no—
1406C4⋊C4—521no—
1407C4⋊C4—521no—
1408C4⋊C4—521no—
1409C4⋊C4—521no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—134no—
1429C22⋊C4—134no—
1430C22⋊C4—134no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—262no—
1445C22⋊C4—262no—
1446C22⋊C4—262no—
1447C22⋊C4—262no—
1448C22⋊C4—262no—
1449C22⋊C4—262no—
1450C22⋊C4—262no—
1451C22⋊C4—262no—
1452C22⋊C4—262no—
1453C22⋊C4—521no—
1454C22⋊C4—521no—
1455C22⋊C4—521no—
1456C22⋊C4—521no—
1457C22⋊C4—521no—
1458C42—134no—
1459C42—262no—
1460C42—262no—
1461C42—262no—
1462C42—262no—
1463C42—262no—
1464C42—262no—
1465C42—262no—
1466C42—262no—
1467C42—262no—
1468C42—262no—
1469C42—262no—
1470C42—262no—
1471C42—521no—
1472C42—521no—
1473C13#3467011yescharacteristic, complemented, Sylow
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—28no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—261no—
1515C23—261no—
1516C23—261no—
1517C23—261no—
1518C23—261no—
1519C23—261no—
1520C23—261no—
1521C23C2×D4×D1312yes—
1522C23C2×D4×D1312yes—
1523C23C2×#612912yes—
1524C23C2×#612912yes—
1525C23C2×#612912yes—
1526C23C2×#612912yes—
1527C23C2×#612912yes—
1528C23#41×D1312yes—
1529C23#41×D1312yes—
1530C23C24×D1311yescharacteristic
1531Q8—524no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—524no—
1537D4—524no—
1538D4—524no—
1539D4—524no—
1540D4—524no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—132no—
1573C2×C4—132no—
1574C2×C4—132no—
1575C2×C4—132no—
1576C2×C4—132no—
1577C2×C4—132no—
1578C2×C4—132no—
1579C2×C4—132no—
1580C2×C4—132no—
1581C2×C4—268no—
1582C2×C4—268no—
1583C2×C4—268no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—261no—
1589C2×C4—261no—
1590C2×C4—261no—
1591C2×C4—261no—
1592C2×C4—261no—
1593C2×C4—261no—
1594C2×C4—261no—
1595C2×C4—261no—
1596C2×C4—261no—
1597C2×C4—261no—
1598C2×C4—261no—
1599C2×C4—261no—
1600C2×C4—261no—
1601C2×C4—261no—
1602C2×C4—261no—
1603C2×C4—261no—
1604C2×C4—261no—
1605C2×C4—261no—
1606C2×C4—261no—
1607C2×C4—261no—
1608C2×C4—261no—
1609C2×C4—261no—
1610C2×C4—261no—
1611C2×C4—261no—
1612C2×C4—261no—
1613C2×C4—261no—
1614C2×C4—261no—
1615C2×C4—261no—
1616C2×C4—261no—
1617C2×C4—261no—
1618C2×C4—261no—
1619C2×C4—261no—
1620C2×C4—524no—
1621C2×C4—524no—
1622C2×C4—524no—
1623C2×C4—524no—
1624C2×C4—524no—
1625C2×C4—524no—
1626C2×C4—524no—
1627C2×C4—524no—
1628C2×C4—524no—
1629C2×C4—524no—
1630C2×C4—524no—
1631C2×C4—524no—
1632C2×C4C2×D4×D1312yes—
1633C2×C4C2×#612912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—521no—
1670C22—521no—
1671C22—521no—
1672C22—521no—
1673C22—521no—
1674C22—521no—
1675C22—521no—
1676C22#1171929114yes—
1677C22#1171935414yescomplemented
1678C22C22×D4×D1311yescharacteristic
1679C22C22×#612911yescharacteristic
1680C22C22×#612911yescharacteristic
1681C22C2×#41×D1311yescharacteristic
1682C22C2×#41×D1311yescharacteristic
1683C22D13×H(5,𝔽2)11yescharacteristic
1684C22#1171965011yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—134no—
1696C4—262no—
1697C4—262no—
1698C4—262no—
1699C4—262no—
1700C4—262no—
1701C4—262no—
1702C4—521no—
1703C4—521no—
1704C4—521no—
1705C4—521no—
1706C4—521no—
1707C4—521no—
1708C4—521no—
1709C4—521no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—1041no—
1716C2C2×#1171929111yescharacteristic
1717C2C2×#1171935411yescharacteristic
1718C2#1312824211yescharacteristic
1719C2D13×#54611yescharacteristic
1720C2#1312832011yescharacteristic
1721C2#1312838711yescharacteristic
1722C2#1312844111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2405C2
prime radical#13118210C2
hypercenter#2405D13
hypocenterC13#34670
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#11719354C2semidirect
2. C22×D4×Dic13C2semidirect
3. #13119094C2semidirect
4. #13119079C2semidirect
5. #13118974C2semidirect
6. #13118959C2semidirect
7. #13118880C2semidirect
8. #13118865C2semidirect
9. #13118781C2semidirect
10. #13118766C2semidirect
11. #13118666C2semidirect
12. #13118584C2semidirect
13. #13118502C2semidirect
14. #13118391C2semidirect
15. #13118309C2semidirect
16. #13118232C2semidirect
18. #13118124C2semidirect
19. #13118092C2semidirect
20. #13118079C2semidirect
21. #13118075C2semidirect
22. #13117368C2semidirect
23. #123×Dic13C2semidirect
24. #13117346C2semidirect
25. #13117335C2semidirect
26. #13117335C2semidirect
27. #13117276C2semidirect
28. #13117272C2semidirect
29. #13117214C2semidirect
30. C2×C22⋊C4×Dic13C2semidirect
31. C13×#2405C2semidirect
54. C2×#88183C22semidirect
57. C22×C4×Dic13C22semidirect
58. C22×C4×Dic13C22semidirect
60. C2×#88152C22semidirect
61. C2×#88146C22semidirect
62. C2×#88143C22semidirect
63. C2×#88141C22semidirect
64. C2×#88139C22semidirect
66. C2×#88135C22semidirect
67. C2×#88135C22semidirect
68. C2×#88135C22semidirect
69. C2×#88135C22semidirect
70. C2×#88133C22semidirect
72. C2×#88132C22semidirect
73. C2×#88131C22semidirect
74. C2×#88131C22semidirect
94. #11718874C22semidirect
95. #11718872C22semidirect
97. #11718871C22semidirect
98. C2×#88071C22semidirect
99. C2×#88071C22semidirect
100. #11718655C22semidirect
101. #11718651C22semidirect
102. #11718647C22semidirect
103. #11718645C22semidirect
104. #11718644C22semidirect
105. #11718642C22semidirect
106. #11718642C22semidirect
107. #11718639C22semidirect
108. #11718639C22semidirect
109. C4⋊C4×Dic13C22semidirect
110. C4⋊C4×Dic13C22semidirect
111. #11718633C22semidirect
112. #11718622C22semidirect
113. #11718620C22semidirect
114. #11718620C22semidirect
115. #11718620C22semidirect
119. #11718619C22semidirect
120. #11718619C22semidirect
121. #11718619C22semidirect
122. #11718619C22semidirect
123. #11718618C22semidirect
124. #11718614C22semidirect
125. #11718613C22semidirect
126. #11718613C22semidirect
127. #11718613C22semidirect
128. #11718613C22semidirect
129. #11718613C22semidirect
130. #11718612C22semidirect
131. #11718612C22semidirect
133. #11718611C22semidirect
134. #11718610C22semidirect
135. #11718609C22semidirect
136. #11718609C22semidirect
137. #11718609C22semidirect
138. #11718608C22semidirect
139. #11718608C22semidirect
142. #11718607C22semidirect
143. #11718607C22semidirect
144. #11718607C22semidirect
145. #11718607C22semidirect
146. #11718607C22semidirect
147. #11718606C22semidirect
148. #11718605C22semidirect
149. #11718605C22semidirect
150. #11718604C22semidirect
151. #11718604C22semidirect
155. #11718603C22semidirect
156. #11718603C22semidirect
157. #11718603C22semidirect
163. C22⋊C4×Dic13C22semidirect
164. C22⋊C4×Dic13C22semidirect
165. C22⋊C4×Dic13C22semidirect
166. C22⋊C4×Dic13C22semidirect
167. C22⋊C4×Dic13C22semidirect
168. C22⋊C4×Dic13C22semidirect
169. C22⋊C4×Dic13C22semidirect
170. C22⋊C4×Dic13C22semidirect
171. C22⋊C4×Dic13C22semidirect
172. C22⋊C4×Dic13C22semidirect
173. #11718335C22semidirect
174. #11718331C22semidirect
175. #11718331C22semidirect
176. #11718327C22semidirect
177. #11718321C22semidirect
178. #11718320C22semidirect
179. #11718318C22semidirect
180. #11718316C22semidirect
181. #11718315C22semidirect
182. #11718314C22semidirect
183. #11718314C22semidirect
184. #11718310C22semidirect
185. #11718310C22semidirect
186. #11718309C22semidirect
187. #11718308C22semidirect
188. #11718307C22semidirect
288. D4×Dic13D4semidirect
630. #2405D13semidirect
997. C22×C13#529semidirect
1473. C13#34670semidirect
1677. C22#11719354semidirect

Maximal subgroups

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

subgroupindex
C2×#117193542
C22×D4×Dic132
#131190942
#131190792
#131189742
#131189592
#131188802
#131188652
#131187812
#131187662
#131186662
#131185842
#131185022
#131183912
#131183092
#131182322
#131182102
#131181242
#131180922
#131180792
#131180752
#131173682
#123×Dic132
#131173462
#131173352
#131172762
#131172722
#131172142
C2×C22⋊C4×Dic132
C13×#24052
#3467013