Finite Group Databasebeta

← #16745158

Subgroups — #16745158

Order 3328.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128441C211yesmaximal, characteristic, complemented
2#13128387C211yesmaximal, characteristic, complemented
3#13127829C211yesmaximal, characteristic, complemented
4#13127703C211yesmaximal, characteristic, complemented
5#13127491C211yesmaximal, characteristic, complemented
6#13127480C211yesmaximal, characteristic, complemented
7#13127457C211yesmaximal, characteristic, complemented
8#13127402C211yesmaximal, characteristic, complemented
9#13127398C211yesmaximal, characteristic, complemented
10#13127145C211yesmaximal, characteristic, complemented
11#13127071C211yesmaximal, characteristic, complemented
12#13127052C211yesmaximal, characteristic, complemented
13#13127045C211yesmaximal, characteristic, complemented
14#13127041C211yesmaximal, characteristic, complemented
15#13127037C211yesmaximal, characteristic, complemented
16#13126441C211yesmaximal, characteristic, complemented
17#13126430C211yesmaximal, characteristic, complemented
18#13125562C211yesmaximal, characteristic, complemented
19#13125558C211yesmaximal, characteristic, complemented
20#13125549C211yesmaximal, characteristic, complemented
21#13124991C211yesmaximal, characteristic, complemented
22#13124973C211yesmaximal, characteristic, complemented
23#13124969C211yesmaximal, characteristic, complemented
24#13124946C211yesmaximal, characteristic, complemented
25#13124942C211yesmaximal, characteristic, complemented
26#13124922C211yesmaximal, characteristic, complemented
27#13123852C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic13C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic13C211yesmaximal, characteristic, complemented
30C4×#88165C211yesmaximal, characteristic, complemented
31C13×#3273C211yesmaximal, characteristic, complemented
32C2×C13×AGL(1,ℤ/8)C2211yescharacteristic
33C2×C13×AGL(1,ℤ/8)C2211yescharacteristic
34C13×#546C2211yescharacteristic
35C13×#546C2211yescharacteristic, complemented
36#11719534C2211yescharacteristic
37#41×Dic13C2211yescharacteristic
38#41×Dic13C2211yescharacteristic, complemented
39#11719529C2211yescharacteristic
40#11719511C2211yescharacteristic, complemented
41D4×C22⋊D13C2211yescharacteristic, complemented
42C2×D4×Dic13C2211yescharacteristic, complemented
43C2×D4×Dic13C2211yescharacteristic, complemented
44C2×#88165C2211yescharacteristic
45#11719386C2211yescharacteristic, complemented
46#11719385C2211yescharacteristic, complemented
47#11719385C2211yescharacteristic, complemented
48#11719376C2211yescharacteristic, complemented
49#11719363—21no—
50#11719355—21no—
51#11719354—21no—
52#11719354—21no—
53#11719347C2211yescharacteristic, complemented
54#11719340C2211yescharacteristic, complemented
55#11719329C2211yescharacteristic, complemented
56#11719327C2211yescharacteristic, complemented
57#11719321C2211yescharacteristic
58#11719319C2211yescharacteristic
59#11719311—21no—
60#11719306—21no—
61#11719306—21no—
62#11719305—21no—
63#11719305C2211yescharacteristic, complemented
64#11719301C2211yescharacteristic
65#11719296—21no—
66#11719292—21no—
67#11719291—21no—
68#11719291—21no—
69#11719270C2211yescharacteristic
70C4×D4×D13C2211yescharacteristic, complemented
71#11719246C2211yescharacteristic, complemented
72#11719244C2211yescharacteristic, complemented
73#11719244C2211yescharacteristic, complemented
74C4×#6129C2211yescharacteristic
75C4×#6129C2211yescharacteristic, complemented
76#11719200—21no—
77#11719200—21no—
78C2×#88135—21no—
79C2×#88131—21no—
80C13×#495C2211yescharacteristic, complemented
81C13×#468C2211yescharacteristic, complemented
82C13×#468C2211yescharacteristic, complemented
83C13×#463C2211yescharacteristic
84C13×#463C2211yescharacteristic, complemented
85C13×#452C2211yescharacteristic
86C13×#452C2211yescharacteristic, complemented
87C13×#447C2211yescharacteristic
88C13×#447C2211yescharacteristic, complemented
89C4×C13×D8C2211yescharacteristic
90C13×#436C2211yescharacteristic, complemented
91#11718900C2211yescharacteristic
92#11718899C2211yescharacteristic
93#11718893C2211yescharacteristic
94#11718893C2211yescharacteristic, complemented
95#11718879C2211yescharacteristic, complemented
96#11718878C2211yescharacteristic, complemented
97#11718876C2211yescharacteristic, complemented
98#11718876C2211yescharacteristic, complemented
99#11718850C2211yescharacteristic, complemented
100#11718846C2211yescharacteristic, complemented
101#11718845C2211yescharacteristic, complemented
102#11718843C2211yescharacteristic, complemented
103#11718836C2211yescharacteristic, complemented
104#11718835C2211yescharacteristic, complemented
105#11718835C2211yescharacteristic, complemented
106#11718834C2211yescharacteristic, complemented
107#11718830C2211yescharacteristic, complemented
108#11718829C2211yescharacteristic, complemented
109#11718826C2211yescharacteristic, complemented
110#11718825C2211yescharacteristic, complemented
111#11718825C2211yescharacteristic, complemented
112#11718825C2211yescharacteristic, complemented
113#11718825C2211yescharacteristic, complemented
114#11718823C2211yescharacteristic, complemented
115SD16×Dic13C2211yescharacteristic, complemented
116SD16×Dic13C2211yescharacteristic, complemented
117SD16×Dic13C2211yescharacteristic, complemented
118SD16×Dic13C2211yescharacteristic, complemented
119#11718820C2211yescharacteristic
120#11718819C2211yescharacteristic
121#11718817C2211yescharacteristic
122#11718814C2211yescharacteristic
123#11718814C2211yescharacteristic, complemented
124#11718813C2211yescharacteristic
125#11718813C2211yescharacteristic
126#11718813C2211yescharacteristic, complemented
127#11718813C2211yescharacteristic, complemented
128#11718811C2211yescharacteristic
129#11718811C2211yescharacteristic
130D8×Dic13C2211yescharacteristic
131D8×Dic13C2211yescharacteristic
132D8×Dic13C2211yescharacteristic
133D8×Dic13C2211yescharacteristic, complemented
134#11718795C2211yescharacteristic, complemented
135#11718795C2211yescharacteristic, complemented
136#11718789C2211yescharacteristic, complemented
137#11718789C2211yescharacteristic, complemented
138#11718782C2211yescharacteristic, complemented
139#11718782C2211yescharacteristic, complemented
140M16×Dic13C2211yescharacteristic, complemented
141M16×Dic13C2211yescharacteristic, complemented
142#11718718C2211yescharacteristic, complemented
143#11718717C2211yescharacteristic, complemented
144#11718717C2211yescharacteristic, complemented
145#11718715C2211yescharacteristic, complemented
146#11718713C2211yescharacteristic, complemented
147#11718710C2211yescharacteristic, complemented
148#11718706C2211yescharacteristic, complemented
149#11718706C2211yescharacteristic, complemented
150#11718703C2211yescharacteristic, complemented
151#11718700C2211yescharacteristic
152#11718695C2211yescharacteristic, complemented
153#11718694C2211yescharacteristic, complemented
154C4×#6105C2211yescharacteristic, complemented
155C4×#6104C2211yescharacteristic, complemented
156#11718673C2211yescharacteristic, complemented
157#11718670C2211yescharacteristic, complemented
158#11718670C2211yescharacteristic, complemented
159#11718550C2211yescharacteristic, complemented
160#11718542C2211yescharacteristic, complemented
161#11718539C2211yescharacteristic, complemented
162#11718535C2211yescharacteristic, complemented
163#11718508C2211yescharacteristic, complemented
164#11718496C2211yescharacteristic, complemented
165#11718491C2211yescharacteristic, complemented
166#11718490C2211yescharacteristic, complemented
167#11718478C2211yescharacteristic, complemented
168#11718476C2211yescharacteristic, complemented
169#11718466C2211yescharacteristic, complemented
170#11718461C2211yescharacteristic, complemented
171#11718457C2211yescharacteristic, complemented
172#11718455C2211yescharacteristic, complemented
173#11718453C2211yescharacteristic, complemented
174#11718450C2211yescharacteristic, complemented
175#11718446C2211yescharacteristic, complemented
176#11718446C2211yescharacteristic, complemented
177#11718445C2211yescharacteristic, complemented
178#11718435C2211yescharacteristic, complemented
179#11718432C2211yescharacteristic, complemented
180#11718431C2211yescharacteristic, complemented
181#11718429C2211yescharacteristic, complemented
182#11718424C2211yescharacteristic, complemented
183#11718424C2211yescharacteristic, complemented
184#11718424C2211yescharacteristic, complemented
185#11718422C2211yescharacteristic, complemented
186#11718422C2211yescharacteristic, complemented
187#11718422C2211yescharacteristic, complemented
188#11718421C2211yescharacteristic, complemented
189#11718418C2211yescharacteristic, complemented
190#11718418C2211yescharacteristic, complemented
191#11718398C2211yescharacteristic, complemented
192#11718396C2211yescharacteristic, complemented
193#11718390C2211yescharacteristic, complemented
194#11718390C2211yescharacteristic, complemented
195#11718384C2211yescharacteristic, complemented
196#11718382C2211yescharacteristic, complemented
197#11718380C2211yescharacteristic, complemented
198#11718380C2211yescharacteristic, complemented
199C4×#6095C2211yescharacteristic, complemented
200C4×#6094C2211yescharacteristic, complemented
201#11718344C2211yescharacteristic, complemented
202C8×Dic26C2211yescharacteristic, complemented
203C2×C13×#41C2311yescharacteristic
204C2×C13×#41C2311yescharacteristic
205C22×D4×C13C2311yescharacteristic
206C22×D4×C13C2311yescharacteristic
207C22×C22⋊D13—21no—
208C23×Dic13—21no—
209C23×Dic13—21no—
210C2×#6129—21no—
211C2×#6129D411yescharacteristic
212C2×#6129C2311yescharacteristic
213C2×D4×D13C2311yescharacteristic
214C22×C4×D13—21no—
215C13×AGL(1,ℤ/8)—24no—
216C13×AGL(1,ℤ/8)—24no—
217C2×C13×Q16C2311yescharacteristic
218C2×C13×SD16C2311yescharacteristic
219C2×C13×SD16C2311yescharacteristic
220C2×C13×SD16C2311yescharacteristic
221C2×C13×SD16C2311yescharacteristic
222C2×C13×D8C2311yescharacteristic
223C2×C13×D8C2311yescharacteristic
224C2×C13×D8C2311yescharacteristic
225C2×C13×D8C2311yescharacteristic
226C2×C13×M16C2311yescharacteristic
227C2×C13×M16C2311yescharacteristic
228C13×#124C2311yescharacteristic
229C13×#124C2311yescharacteristic
230C13×#123—21no—
231C13×#123—21no—
232C13×C22⋊Q8C2311yescharacteristic
233C13×C22⋊Q8C2311yescharacteristic
234C13×#121—21no—
235C13×#121—21no—
236C13×#121C2311yescharacteristic
237C13×#121C2311yescharacteristic
238C13×#120—21no—
239C13×#120—21no—
240C4×D4×C13C2311yescharacteristic
241C4×D4×C13C2311yescharacteristic
242C4×D4×C13C2311yescharacteristic
243C2×C13×C22⋊C4—21no—
244C2×C13×C22⋊C4—21no—
245#88207—21no—
246#88207—21no—
247C2×C22⋊Dic13—21no—
248C2×C22⋊Dic13—21no—
249C2×C22⋊Dic13—21no—
250#88201C2311yescharacteristic
251#88200C2311yescharacteristic
252#88200C2311yescharacteristic
253Q8×Dic13C2311yescharacteristic
254Q8×Dic13C2311yescharacteristic
255Q8×Dic13C2311yescharacteristic
256Q8×Dic13C2311yescharacteristic
257#88198C2311yescharacteristic
258C2×#6107C2311yescharacteristic
259C2×#6106C2311yescharacteristic
260#88194C2311yescharacteristic
261#88193—21no—
262#88193—21no—
263#88193—21no—
264#88193—21no—
265#88193—21no—
266#88193—21no—
267#88193—21no—
268#88192—21no—
269#88192C2311yescharacteristic
270#88192C2311yescharacteristic
271#88191—21no—
272#88191—21no—
273#88190—21no—
274#88190C2311yescharacteristic
275#88189—21no—
276#88189—21no—
277#88189—21no—
278#88189—21no—
279#88189—21no—
280D4×Dic13—21no—
281D4×Dic13—21no—
282D4×Dic13—21no—
283D4×Dic13—21no—
284D4×Dic13—21no—
285D4×Dic13—21no—
286D4×Dic13—21no—
287D4×Dic13—21no—
288D4×Dic13—21no—
289D4×Dic13D411yescharacteristic
290D4×Dic13C2311yescharacteristic
291D4×Dic13C2311yescharacteristic
292D4×Dic13C2311yescharacteristic
293D4×Dic13C2311yescharacteristic
294D4×Dic13C2311yescharacteristic
295D4×Dic13C2311yescharacteristic
296D4×Dic13C2311yescharacteristic
297D4×Dic13C2311yescharacteristic
298D4×Dic13C2311yescharacteristic
299D4×Dic13C2311yescharacteristic
300C2×#6105C2311yescharacteristic
301C2×#6105C2311yescharacteristic
302C2×#6104C2311yescharacteristic
303C2×#6104C2311yescharacteristic
304#88184C2311yescharacteristic
305#88184C2311yescharacteristic
306#88183—21no—
307#88183—21no—
308C4×C22⋊D13—21no—
309C4×C22⋊D13—21no—
310C4×C22⋊D13C2311yescharacteristic
311C4×C22⋊D13C2311yescharacteristic
312C2×#6103—21no—
313#88180—21no—
314#88180—21no—
315#88180C2311yescharacteristic
316#88180C2311yescharacteristic
317C2×C4⋊Dic13C2311yescharacteristic
318C2×C4⋊Dic13C2311yescharacteristic
319#88178—21no—
320#88178—21no—
321#88178C2311yescharacteristic
322#88178C2311yescharacteristic
323C2×#6101—21no—
324C2×#6101—21no—
325C2×#6101—21no—
326C2×C4×Dic13—21no—
327C2×C4×Dic13—21no—
328C2×C4×Dic13—21no—
329C2×C4×Dic13C2311yescharacteristic
330C2×C4×Dic13C2311yescharacteristic
331C2×#6099C2311yescharacteristic
332C2×#6099C2311yescharacteristic
333#88165—24no—
334C2×#6095C2311yescharacteristic
335C2×#6094C2311yescharacteristic
336C2×#6094C2311yescharacteristic
337#88152—21no—
338#88152—21no—
339#88152—21no—
340#88151—21no—
341#88147C2311yescharacteristic
342#88146—21no—
343#88146D411yescharacteristic
344#88146C2311yescharacteristic
345C4⋊C4×D13C2311yescharacteristic
346#88144—21no—
347#88144C2311yescharacteristic
348#88144C2311yescharacteristic
349#88143—21no—
350#88143—21no—
351#88143—21no—
352#88142C2311yescharacteristic
353#88142C2311yescharacteristic
354#88141—21no—
355#88141D411yescharacteristic
356#88141C2311yescharacteristic
357#88140—21no—
358#88140—21no—
359#88140—21no—
360#88139—21no—
361#88139—21no—
362#88139—21no—
363#88137—21no—
364#88137—21no—
365#88137—21no—
366#88137—21no—
367#88135—21no—
368#88135—21no—
369#88135—21no—
370#88135—21no—
371#88135—21no—
372#88135—21no—
373#88135—21no—
374#88135—21no—
375#88135—21no—
376#88135—21no—
377#88135D411yescharacteristic
378#88135D411yescharacteristic
379C22⋊C4×D13—21no—
380#88133—21no—
381#88133—21no—
382#88133—21no—
383#88133—21no—
384#88133—21no—
385#88133—21no—
386#88133—21no—
387#88132—21no—
388#88132—21no—
389#88132—21no—
390#88132—21no—
391#88132—21no—
392#88132—21no—
393#88132—21no—
394#88131—21no—
395#88131—21no—
396#88131—21no—
397#88131—21no—
398#88131—21no—
399#88131—21no—
400#88131—21no—
401#88131—21no—
402#88131—21no—
403#88131D411yescharacteristic
404#88131D411yescharacteristic
405C4×D52C2311yescharacteristic
406C42×D13C2311yescharacteristic
407#88124C2311yescharacteristic
408#88124C2311yescharacteristic
409C4×Dic26C2311yescharacteristic
410C4×Dic26C2311yescharacteristic
411C13×#107C2311yescharacteristic
412C13×C4⋊C8C2311yescharacteristic
413C13×#103C2311yescharacteristic
414C13×#103C2311yescharacteristic
415C13×#102C2311yescharacteristic
416C13×#102C2311yescharacteristic
417C13×#102C2311yescharacteristic
418C13×#102C2311yescharacteristic
419C13×C22⋊C8C2311yescharacteristic
420C13×C22⋊C8C2311yescharacteristic
421C4×C8×C13C2311yescharacteristic
422#88075C2311yescharacteristic
423#88075C2311yescharacteristic
424#88075C2311yescharacteristic
425#88075C2311yescharacteristic
426#88075C2311yescharacteristic
427#88075C2311yescharacteristic
428#88072C2311yescharacteristic
429#88072C2311yescharacteristic
430#88072C2311yescharacteristic
431#88072C2311yescharacteristic
432#88072C2311yescharacteristic
433#88072C2311yescharacteristic
434#88072C2311yescharacteristic
435#88072C2311yescharacteristic
436#88072C2311yescharacteristic
437#88072C2311yescharacteristic
438#88072C2311yescharacteristic
439#88072C2311yescharacteristic
440C22⋊#1055C2311yescharacteristic
441C22⋊#1055C2311yescharacteristic
442#88061C2311yescharacteristic
443#88061C2311yescharacteristic
444#88061C2311yescharacteristic
445#88060C2311yescharacteristic
446#88060C2311yescharacteristic
447#88058C2311yescharacteristic
448#88058C2311yescharacteristic
449#88058C2311yescharacteristic
450#88058C2311yescharacteristic
451#88057C2311yescharacteristic
452#88057C2311yescharacteristic
453#88057C2311yescharacteristic
454#88057C2311yescharacteristic
455#88057C2311yescharacteristic
456#88056C2311yescharacteristic
457#88056C2311yescharacteristic
458#88056C2311yescharacteristic
459#88055C2311yescharacteristic
460#88055C2311yescharacteristic
461#88055C2311yescharacteristic
462#88055C2311yescharacteristic
463#88054C2311yescharacteristic
464#88054C2311yescharacteristic
465#88054C2311yescharacteristic
466#88054C2311yescharacteristic
467C8×Dic13C2311yescharacteristic
468C8×Dic13C2311yescharacteristic
469C8×Dic13C2311yescharacteristic
470C8×Dic13C2311yescharacteristic
471#88050C2311yescharacteristic
472#88049C2311yescharacteristic
473#88048C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88047C2311yescharacteristic
477#88047C2311yescharacteristic
478#88047C2311yescharacteristic
479C4⋊#1055C2311yescharacteristic
480C4×#1055C2311yescharacteristic
481#61464—131nomaximal, Sylow
482C24×C13—21no—
483C24×C13—21no—
484C23×D13—21no—
485C13×#41—22no—
486C13×#41—22no—
487C13×#41—41no—
488C13×#41—41no—
489C2×Q8×C13C2411yescharacteristic
490C2×Q8×C13C2411yescharacteristic
491C2×D4×C13—22no—
492C2×D4×C13—22no—
493C2×D4×C13—21no—
494C2×D4×C13—21no—
495C2×D4×C13—21no—
496C2×D4×C13—21no—
497C2×D4×C13—21no—
498C2×D4×C13—21no—
499C2×D4×C13—41no—
500C2×D4×C13—41no—
501C2×D4×C13C2×D411yescharacteristic
502C2×D4×C13C2411yescharacteristic
503C2×D4×C13C2411yescharacteristic
504C2×D4×C13C2411yescharacteristic
505C2×D4×C13C2411yescharacteristic
506C22×C4×C13—21no—
507C22×C4×C13—21no—
508C22×C4×C13—21no—
509C22×C4×C13—21no—
510C22×C4×C13C2411yescharacteristic
511C22×C4×C13C2411yescharacteristic
512C2×C22⋊D13—21no—
513C2×C22⋊D13—21no—
514C2×C22⋊D13—21no—
515C2×C22⋊D13—21no—
516C2×C22⋊D13—21no—
517C2×C22⋊D13—21no—
518C2×C22⋊D13—21no—
519C2×C22⋊D13—21no—
520C2×C22⋊D13—44no—
521C2×C22⋊D13C2×D411yescharacteristic
522C2×C22⋊D13C2×D411yescharacteristic
523C22×Dic13—21no—
524C22×Dic13—21no—
525C22×Dic13—21no—
526C22×Dic13—21no—
527C22×Dic13—21no—
528C22×Dic13—21no—
529C22×Dic13—21no—
530C22×Dic13—21no—
531C22×Dic13—21no—
532C22×Dic13—21no—
533C22×Dic13—21no—
534C22×Dic13—21no—
535C22×Dic13—21no—
536C22×Dic13—44no—
537C22×Dic13—82no—
538C22×Dic13C2×D411yescharacteristic
539C22×Dic13C2×D411yescharacteristic
540C22×Dic13C2×D411yescharacteristic
541C22×Dic13C2×D411yescharacteristic
542#6129—22no—
543#6129—41no—
544#6129—42no—
545#6129—82no—
546D4×D13—22no—
547D4×D13—41no—
548C2×D52C2411yescharacteristic
549C2×C4×D13—21no—
550C2×C4×D13—21no—
551C2×C4×D13—21no—
552C2×C4×D13—82no—
553C2×C4×D13C2×D411yescharacteristic
554C2×C4×D13C2×D411yescharacteristic
555C2×C4×D13C2411yescharacteristic
556C2×Dic26—21no—
557C2×Dic26—21no—
558C2×Dic26C2×D411yescharacteristic
559C2×Dic26C2411yescharacteristic
560C13×Q16—41no—
561C13×SD16—22no—
562C13×SD16—22no—
563C13×SD16—22no—
564C13×SD16—22no—
565C13×D8—22no—
566C13×D8—22no—
567C13×D8—41no—
568C13×D8#4114yescomplemented
569C13×M16—22no—
570C13×M16—22no—
571C2×C8×C13C2411yescharacteristic
572C2×C8×C13C2411yescharacteristic
573C2×C8×C13C2411yescharacteristic
574C2×C8×C13C2411yescharacteristic
575C13×C4⋊C4—21no—
576C13×C4⋊C4—21no—
577C13×C4⋊C4C2×D411yescharacteristic
578C13×C4⋊C4C2411yescharacteristic
579C13×C4⋊C4C2411yescharacteristic
580C13×C22⋊C4—21no—
581C13×C22⋊C4—21no—
582C13×C22⋊C4—21no—
583C13×C22⋊C4—21no—
584C13×C22⋊C4—21no—
585C13×C22⋊C4—21no—
586C13×C22⋊C4—21no—
587C13×C22⋊C4—21no—
588C13×C22⋊C4—21no—
589C13×C22⋊C4—21no—
590C13×C22⋊C4C2×D411yescharacteristic
591C13×C22⋊C4C2×D411yescharacteristic
592C42×C13C2411yescharacteristic
593C22⋊Dic13—21no—
594C22⋊Dic13—21no—
595C22⋊Dic13—21no—
596C22⋊Dic13—21no—
597C22⋊Dic13—21no—
598C22⋊Dic13—21no—
599C22⋊Dic13—21no—
600C22⋊Dic13—21no—
601C22⋊Dic13—21no—
602C22⋊Dic13—21no—
603C22⋊Dic13—21no—
604C22⋊Dic13—21no—
605C22⋊Dic13—21no—
606C22⋊Dic13—21no—
607C22⋊Dic13—21no—
608C22⋊Dic13—21no—
609C22⋊Dic13—21no—
610C22⋊Dic13—21no—
611C22⋊Dic13C2×D411yescharacteristic
612C22⋊Dic13C2×D411yescharacteristic
613#6107—41no—
614#6106—41no—
615#6105—22no—
616#6105—41no—
617#6104—22no—
618#6104—41no—
619#6103—21no—
620#6103—21no—
621#6103—21no—
622#6103—21no—
623#6103—21no—
624#6103—21no—
625#6103—21no—
626#6103—21no—
627#6103—21no—
628#6103C2×D411yescharacteristic
629#6103C2×D411yescharacteristic
630C4⋊Dic13—21no—
631C4⋊Dic13—21no—
632C4⋊Dic13—21no—
633C4⋊Dic13—21no—
634C4⋊Dic13—21no—
635C4⋊Dic13—21no—
636C4⋊Dic13—21no—
637C4⋊Dic13—21no—
638C4⋊Dic13C2×D411yescharacteristic
639C4⋊Dic13C2411yescharacteristic
640C4⋊Dic13C2411yescharacteristic
641C4⋊Dic13C2411yescharacteristic
642C4⋊Dic13C2411yescharacteristic
643C4⋊Dic13C2411yescharacteristic
644C4⋊Dic13C2411yescharacteristic
645#6101—21no—
646#6101—21no—
647#6101—21no—
648#6101—21no—
649#6101—21no—
650#6101—21no—
651#6101—21no—
652#6101—21no—
653#6101—21no—
654#6101—21no—
655#6101—21no—
656#6101—21no—
657#6101—21no—
658#6101—21no—
659#6101—21no—
660#6101—21no—
661#6101—21no—
662#6101C2×D411yescharacteristic
663#6101C2×D411yescharacteristic
664#6101C2×D411yescharacteristic
665#6101C2×D411yescharacteristic
666C4×Dic13—21no—
667C4×Dic13—21no—
668C4×Dic13—21no—
669C4×Dic13—21no—
670C4×Dic13—21no—
671C4×Dic13—21no—
672C4×Dic13—21no—
673C4×Dic13—21no—
674C4×Dic13—21no—
675C4×Dic13C2×D411yescharacteristic
676C4×Dic13C2×D411yescharacteristic
677C4×Dic13C2×D411yescharacteristic
678C4×Dic13C2×D411yescharacteristic
679C4×Dic13C2×D411yescharacteristic
680C4×Dic13C2×D411yescharacteristic
681C4×Dic13C2411yescharacteristic
682C4×Dic13C2411yescharacteristic
683C4×Dic13C2411yescharacteristic
684#6099—41no—
685#6099—41no—
686C2×#1055C2411yescharacteristic
687C2×#1055C2411yescharacteristic
688C2×#1055C2411yescharacteristic
689C2×#1055C2411yescharacteristic
690#6095—22no—
691#6094—22no—
692#6094—41no—
693#3481—131no—
694#3475—131no—
695#3394—131no—
696#3380—131no—
697#3361—131no—
698#3360—131no—
699#3357—131no—
700#3351—131no—
701#3351—131no—
702#3331—131no—
703#3325—131no—
704#3323—131no—
705#3323—131no—
706#3322—131no—
707#3322—131no—
708#3273—131no—
709#3273D1311yescharacteristic, complemented
710#3272—131no—
711#3183—131no—
712#3183—131no—
713#3182—131no—
714#3116—131no—
715#3114—131no—
716#3114—131no—
717#3111—131no—
718#3111—131no—
719#3109—131no—
720#2971—131no—
721C4×AGL(1,ℤ/8)—131no—
722C4×AGL(1,ℤ/8)—131no—
723C4×AGL(1,ℤ/8)—131no—
724C23×C13—21no—
725C23×C13—21no—
726C23×C13—21no—
727C23×C13—21no—
728C23×C13—42no—
729C23×C13—42no—
730C23×C13—42no—
731C23×C13—42no—
732C23×C13—81no—
733C23×C13—81no—
734C23×C13C22×D411yescharacteristic
735C23×C13C22×D411yescharacteristic
736C22×D13—21no—
737C22×D13—42no—
738C22×D13—42no—
739C22×D13—81no—
740C22×D13C22×D411yescharacteristic
741Q8×C13—21no—
742Q8×C13—21no—
743Q8×C13—21no—
744Q8×C13—21no—
745D4×C13—21no—
746D4×C13—21no—
747D4×C13—21no—
748D4×C13—21no—
749D4×C13—21no—
750D4×C13—21no—
751D4×C13—41no—
752D4×C13—42no—
753D4×C13—42no—
754D4×C13—42no—
755D4×C13—42no—
756D4×C13—81no—
757D4×C13—81no—
758D4×C13C2×#4112yes—
759D4×C13C2×#4112yes—
760C2×C4×C13—21no—
761C2×C4×C13—21no—
762C2×C4×C13—21no—
763C2×C4×C13—21no—
764C2×C4×C13—21no—
765C2×C4×C13—21no—
766C2×C4×C13—21no—
767C2×C4×C13—21no—
768C2×C4×C13—42no—
769C2×C4×C13—42no—
770C2×C4×C13—81no—
771C2×C4×C13—81no—
772C2×C4×C13C22×D411yescharacteristic
773C2×C4×C13C22×D411yescharacteristic
774C2×C4×C13C22×D411yescharacteristic
775C2×C4×C13C22×D411yescharacteristic
776C2×C4×C13C2511yescharacteristic
777C22⋊D13—22no—
778C22⋊D13—41no—
779C22⋊D13—42no—
780C22⋊D13—42no—
781C22⋊D13—42no—
782C22⋊D13—42no—
783C22⋊D13—42no—
784C22⋊D13—81no—
785C22⋊D13—81no—
786C22⋊D13—81no—
787C2×Dic13—22no—
788C2×Dic13—21no—
789C2×Dic13—21no—
790C2×Dic13—21no—
791C2×Dic13—21no—
792C2×Dic13—21no—
793C2×Dic13—21no—
794C2×Dic13—21no—
795C2×Dic13—41no—
796C2×Dic13—41no—
797C2×Dic13—41no—
798C2×Dic13—42no—
799C2×Dic13—42no—
800C2×Dic13—42no—
801C2×Dic13—42no—
802C2×Dic13—42no—
803C2×Dic13—42no—
804C2×Dic13—42no—
805C2×Dic13—42no—
806C2×Dic13—42no—
807C2×Dic13—81no—
808C2×Dic13—81no—
809C2×Dic13—81no—
810C2×Dic13—81no—
811C2×Dic13C22×D411yescharacteristic
812C2×Dic13C22×D411yescharacteristic
813C2×Dic13C22×D411yescharacteristic
814C2×Dic13C22×D411yescharacteristic
815C2×Dic13C22×D411yescharacteristic
816C2×Dic13C22×D411yescharacteristic
817C2×Dic13C22×D411yescharacteristic
818D52—21no—
819D52—21no—
820C4×D13—21no—
821C4×D13—21no—
822C4×D13—41no—
823C4×D13—41no—
824C4×D13—42no—
825C4×D13—81no—
826C4×D13—81no—
827Dic26—22no—
828Dic26—21no—
829Dic26—21no—
830Dic26—81no—
831Dic26—81no—
832C8×C13—21no—
833C8×C13—21no—
834C8×C13—21no—
835C8×C13C2×#4112yes—
836#1055—21no—
837#1055—21no—
838#1055—21no—
839#1055—21no—
840C2×AGL(1,ℤ/8)—131no—
841C2×AGL(1,ℤ/8)C2×D1311yescharacteristic
842C2×AGL(1,ℤ/8)C2×D1311yescharacteristic
843#559—131no—
844#556—131no—
845#555—131no—
846#554—131no—
847#554—131no—
848#554—131no—
849#553—131no—
850#553—131no—
851#553—261no—
852#553—261no—
853#552—131no—
854#552—131no—
855#552—261no—
856#551—261no—
857#551—261no—
858#551—261no—
859#551—261no—
860#547—131no—
861#546—131no—
862#546—131no—
863#546—261no—
864#546C2×D1311yescharacteristic
865#546C2×D1311yescharacteristic, complemented
866D42—131no—
867#533—131no—
868#532—131no—
869#529—131no—
870#529—131no—
871#529—131no—
872#529—131no—
873#529—261no—
874#529—261no—
875#529—261no—
876#525—261no—
877#525—261no—
878#525—261no—
879C4×#41—131no—
880C4×#41—131no—
881C4×#41—131no—
882C4×#41—131no—
883C2×C4×D4—131no—
884C2×C4×D4—131no—
885C2×C4×D4—131no—
886C2×C4×D4—261no—
887C2×#117—261no—
888#500—131no—
889#499—131no—
890#499—131no—
891#495—131no—
892#495C2×D1311yescharacteristic, complemented
893#492—131no—
894#488—131no—
895#488—131no—
896#488—131no—
897#488—131no—
898#487—131no—
899#486—131no—
900#485—131no—
901#485—131no—
902#485—131no—
903#485—131no—
904#483—131no—
905#483—131no—
906#482—131no—
907#482—131no—
908#481—131no—
909#481—131no—
910#480—131no—
911#480—131no—
912#479—131no—
913#479—131no—
914#478—131no—
915#478—131no—
916#478—131no—
917#478—131no—
918#478—131no—
919#478—131no—
920#477—131no—
921#476—131no—
922#476—131no—
923#476—131no—
924#470—131no—
925#470—131no—
926#469—131no—
927#469—131no—
928#468—131no—
929#468—131no—
930#468—131no—
931#468—131no—
932#468—131no—
933#468—131no—
934#468C2×D1311yescharacteristic, complemented
935#468C2×D1311yescharacteristic, complemented
936#464—131no—
937#464—131no—
938#463—131no—
939#463—131no—
940#463—131no—
941#463—131no—
942#463C2×D1311yescharacteristic
943#463C2×D1311yescharacteristic, complemented
944#462—131no—
945#461—131no—
946#459—131no—
947#459—131no—
948#452—131no—
949#452—131no—
950#452C2×D1311yescharacteristic
951#452C2×D1311yescharacteristic, complemented
952#450—131no—
953#450—131no—
954#449—131no—
955#449—131no—
956#447—131no—
957#447—131no—
958#447C2×D1311yescharacteristic
959#447C2×D1311yescharacteristic, complemented
960C8×Q8—131no—
961C8×Q8—131no—
962#442—131no—
963#442—131no—
964#442—131no—
965#442—131no—
966#442—131no—
967#442—131no—
968#441—131no—
969#441—131no—
970#440—131no—
971#440—131no—
972#440—131no—
973#440—131no—
974#440—131no—
975#440—131no—
976#440—131no—
977#440—131no—
978C4×SD16—131no—
979C4×SD16—131no—
980C4×SD16—131no—
981C4×SD16—131no—
982C4×SD16—131no—
983C4×SD16—131no—
984C4×D8—131no—
985C4×D8—131no—
986C4×D8—131no—
987C4×D8—131no—
988C4×D8—131no—
989C4×D8C2×D1311yescharacteristic
990#436—131no—
991#436—131no—
992#436—131no—
993#436—131no—
994#436—131no—
995#436C2×D1311yescharacteristic, complemented
996#432—131no—
997#432—131no—
998#432—131no—
999#428—131no—
1000#428—131no—
1001#428—131no—
1002#418—131no—
1003#418—131no—
1004#418—131no—
1005#417—131no—
1006#417—131no—
1007#417—131no—
1008C4×M16—131no—
1009C4×M16—131no—
1010C4×M16—131no—
1011C22×C13—21no—
1012C22×C13—21no—
1013C22×C13—22no—
1014C22×C13—22no—
1015C22×C13—21no—
1016C22×C13—21no—
1017C22×C13—21no—
1018C22×C13—21no—
1019C22×C13—41no—
1020C22×C13—41no—
1021C22×C13—41no—
1022C22×C13—41no—
1023C22×C13—41no—
1024C22×C13—41no—
1025C22×C13—41no—
1026C22×C13—41no—
1027C22×C13—41no—
1028C22×C13—41no—
1029C22×C13—84no—
1030C22×C13—84no—
1031C22×C13C23×D411yescharacteristic
1032C2×D13—21no—
1033C2×D13—21no—
1034C2×D13—21no—
1035C2×D13—41no—
1036C2×D13—41no—
1037C2×D13—41no—
1038C2×D13—84no—
1039C4×C13—21no—
1040C4×C13—21no—
1041C4×C13—21no—
1042C4×C13—21no—
1043C4×C13—41no—
1044C4×C13—41no—
1045C4×C13—41no—
1046C4×C13—41no—
1047C4×C13C22×#4111yescharacteristic
1048C4×C13#58511yescharacteristic
1049Dic13—21no—
1050Dic13—21no—
1051Dic13—21no—
1052Dic13—21no—
1053Dic13—21no—
1054Dic13—21no—
1055Dic13—41no—
1056Dic13—41no—
1057Dic13—41no—
1058Dic13—41no—
1059Dic13—41no—
1060Dic13—41no—
1061Dic13—41no—
1062Dic13#57512yes—
1063C2×#41—131no—
1064C2×#41—131no—
1065C2×#41—261no—
1066C2×#41C22×D1311yescharacteristic
1067C2×#41C22×D1311yescharacteristic
1068C22×D4—131no—
1069C22×D4—261no—
1070C22×D4C22×D1311yescharacteristic
1071C22×D4C22×D1311yescharacteristic
1072C23×C4—261no—
1073C23×C4—261no—
1074C23×C4—261no—
1075AGL(1,ℤ/8)—24no—
1076AGL(1,ℤ/8)—24no—
1077AGL(1,ℤ/8)—264no—
1078C2×Q16—131no—
1079C2×Q16C22×D1311yescharacteristic
1080C2×SD16—131no—
1081C2×SD16—131no—
1082C2×SD16—131no—
1083C2×SD16—131no—
1084C2×SD16C22×D1311yescharacteristic
1085C2×SD16C22×D1311yescharacteristic
1086C2×SD16C22×D1311yescharacteristic
1087C2×SD16C22×D1311yescharacteristic
1088C2×D8—131no—
1089C2×D8—131no—
1090C2×D8C22×D1311yescharacteristic
1091C2×D8C22×D1311yescharacteristic
1092C2×D8C22×D1311yescharacteristic
1093C2×D8C22×D1311yescharacteristic
1094C2×M16—131no—
1095C2×M16—131no—
1096C2×M16—131no—
1097C2×M16—131no—
1098C2×M16C22×D1311yescharacteristic
1099C2×M16C22×D1311yescharacteristic
1100C4⋊Q8—131no—
1101C4⋊Q8—131no—
1102C4⋊Q8—131no—
1103#127—131no—
1104#126—261no—
1105#126—261no—
1106#126—261no—
1107#126—261no—
1108#126—261no—
1109#126—261no—
1110#126—261no—
1111#126—261no—
1112#126—261no—
1113#126—261no—
1114#125—131no—
1115#125—131no—
1116#125—131no—
1117#125—131no—
1118#125—261no—
1119#125—261no—
1120#125—261no—
1121#125—261no—
1122#124—131no—
1123#124—131no—
1124#124—261no—
1125#124—261no—
1126#124—261no—
1127#124—261no—
1128#124C22×D1311yescharacteristic
1129#124C22×D1311yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—261no—
1133#123—261no—
1134#123—261no—
1135#123—261no—
1136#123—261no—
1137#123—261no—
1138#123—261no—
1139#123—261no—
1140#123—261no—
1141#123—261no—
1142#123—261no—
1143#123—261no—
1144#123—261no—
1145#123—261no—
1146C22⋊Q8—131no—
1147C22⋊Q8—131no—
1148C22⋊Q8—131no—
1149C22⋊Q8—131no—
1150C22⋊Q8—261no—
1151C22⋊Q8—261no—
1152C22⋊Q8—261no—
1153C22⋊Q8—261no—
1154C22⋊Q8—261no—
1155C22⋊Q8—261no—
1156C22⋊Q8—261no—
1157C22⋊Q8—261no—
1158C22⋊Q8—261no—
1159C22⋊Q8—261no—
1160C22⋊Q8C22×D1311yescharacteristic
1161C22⋊Q8C22×D1311yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—131no—
1165#121—131no—
1166#121—131no—
1167#121—131no—
1168#121—261no—
1169#121—261no—
1170#121—261no—
1171#121—261no—
1172#121—261no—
1173#121—261no—
1174#121—261no—
1175#121—261no—
1176#121C22×D1311yescharacteristic
1177#121C22×D1311yescharacteristic
1178#120—21no—
1179#120—21no—
1180#120—261no—
1181#120—261no—
1182#120—261no—
1183#120—261no—
1184C4×Q8—131no—
1185C4×Q8—131no—
1186C4×Q8—131no—
1187C4×Q8—131no—
1188C4×Q8—131no—
1189C4×Q8—131no—
1190C4×Q8—131no—
1191C4×Q8—131no—
1192C4×Q8—261no—
1193C4×D4—131no—
1194C4×D4—131no—
1195C4×D4—131no—
1196C4×D4—131no—
1197C4×D4—131no—
1198C4×D4—131no—
1199C4×D4—131no—
1200C4×D4—131no—
1201C4×D4—131no—
1202C4×D4—131no—
1203C4×D4—131no—
1204C4×D4—131no—
1205C4×D4—131no—
1206C4×D4—131no—
1207C4×D4—131no—
1208C4×D4—131no—
1209C4×D4—131no—
1210C4×D4—261no—
1211C4×D4—261no—
1212C4×D4—261no—
1213C4×D4—261no—
1214C4×D4—261no—
1215C4×D4—261no—
1216C4×D4—261no—
1217C4×D4—261no—
1218C4×D4—261no—
1219C4×D4—261no—
1220C4×D4—261no—
1221C4×D4—261no—
1222C4×D4—261no—
1223C4×D4—261no—
1224C4×D4—261no—
1225C4×D4—261no—
1226C4×D4—261no—
1227C4×D4—261no—
1228C4×D4—261no—
1229C4×D4—261no—
1230C4×D4—261no—
1231C4×D4C22×D1311yescharacteristic
1232C4×D4C22×D1311yescharacteristic
1233C4×D4C22×D1311yescharacteristic
1234#117—131no—
1235#117—131no—
1236#117—131no—
1237#117—131no—
1238#117—131no—
1239#117—131no—
1240#117—261no—
1241#117—261no—
1242#117—261no—
1243#117—261no—
1244#117—261no—
1245#117—261no—
1246#117—261no—
1247#117—261no—
1248#117—261no—
1249#117—261no—
1250#117—261no—
1251#117—261no—
1252C2×C4⋊C4—131no—
1253C2×C4⋊C4—131no—
1254C2×C4⋊C4—131no—
1255C2×C4⋊C4—261no—
1256C2×C4⋊C4—261no—
1257C2×C4⋊C4—261no—
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—21no—
1260C2×C22⋊C4—261no—
1261C2×C22⋊C4—261no—
1262C2×C22⋊C4—261no—
1263C2×C22⋊C4—261no—
1264C2×C22⋊C4—261no—
1265C2×C42—131no—
1266C2×C42—131no—
1267C2×C42—131no—
1268C2×C42—261no—
1269C2×C42—261no—
1270C2×C42—261no—
1271#107—131no—
1272#107—131no—
1273#107—131no—
1274#107—131no—
1275#107—131no—
1276#107—131no—
1277#107—131no—
1278#107C22×D1311yescharacteristic
1279#106—131no—
1280#106—131no—
1281#106—131no—
1282#106—131no—
1283#106—131no—
1284#106—131no—
1285#106—131no—
1286#106—131no—
1287C4⋊C8—131no—
1288C4⋊C8—131no—
1289C4⋊C8—131no—
1290C4⋊C8—131no—
1291C4⋊C8—131no—
1292C4⋊C8C22×D1311yescharacteristic
1293#103—131no—
1294#103—131no—
1295#103—131no—
1296#103—131no—
1297#103—131no—
1298#103—131no—
1299#103—131no—
1300#103—131no—
1301#103—131no—
1302#103—131no—
1303#103C22×D1311yescharacteristic
1304#103C22×D1311yescharacteristic
1305#102—131no—
1306#102—131no—
1307#102—131no—
1308#102—131no—
1309#102—131no—
1310#102—131no—
1311#102—131no—
1312#102—131no—
1313#102—131no—
1314#102—131no—
1315#102—131no—
1316#102—131no—
1317#102—131no—
1318#102—131no—
1319#102—131no—
1320#102—131no—
1321#102C22×D1311yescharacteristic
1322#102C22×D1311yescharacteristic
1323#102C22×D1311yescharacteristic
1324#102C22×D1311yescharacteristic
1325C22⋊C8—131no—
1326C22⋊C8—131no—
1327C22⋊C8—131no—
1328C22⋊C8—131no—
1329C22⋊C8C22×D1311yescharacteristic
1330C22⋊C8C22×D1311yescharacteristic
1331#97—131no—
1332#97—131no—
1333#97—131no—
1334#97—131no—
1335C4×C8—131no—
1336C4×C8—131no—
1337C4×C8—131no—
1338C4×C8—131no—
1339C4×C8—131no—
1340C4×C8C22×D1311yescharacteristic
1341C2×C13—42no—
1342C2×C13—41no—
1343C2×C13—41no—
1344C2×C13—42no—
1345C2×C13—81no—
1346C2×C13—81no—
1347C2×C13D4×#4111yescharacteristic
1348C2×C13C2×#57511yescharacteristic
1349C2×C13#358511yescharacteristic
1350D13—41no—
1351D13—81no—
1352C24—21no—
1353C24—21no—
1354C24—261no—
1355#41—22no—
1356#41—22no—
1357#41—41no—
1358#41—41no—
1359#41—262no—
1360#41—521no—
1361#41—522no—
1362#41—1042no—
1363C2×Q8—131no—
1364C2×Q8—131no—
1365C2×Q8—261no—
1366C2×Q8—261no—
1367C2×Q8C23×D1311yescharacteristic
1368C2×Q8C23×D1311yescharacteristic
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—131no—
1380C2×D4—131no—
1381C2×D4—131no—
1382C2×D4—261no—
1383C2×D4—261no—
1384C2×D4—261no—
1385C2×D4—262no—
1386C2×D4—261no—
1387C2×D4—261no—
1388C2×D4—261no—
1389C2×D4—261no—
1390C2×D4—261no—
1391C2×D4—521no—
1392C2×D4—524no—
1393C2×D4D4×D1311yescharacteristic
1394C2×D4C23×D1311yescharacteristic
1395C2×D4C23×D1311yescharacteristic
1396C2×D4C23×D1311yescharacteristic
1397C2×D4C23×D1311yescharacteristic
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—131no—
1403C22×C4—131no—
1404C22×C4—131no—
1405C22×C4—131no—
1406C22×C4—131no—
1407C22×C4—131no—
1408C22×C4—131no—
1409C22×C4—261no—
1410C22×C4—261no—
1411C22×C4—261no—
1412C22×C4—261no—
1413C22×C4—261no—
1414C22×C4—261no—
1415C22×C4—261no—
1416C22×C4—261no—
1417C22×C4—261no—
1418C22×C4—261no—
1419C22×C4—261no—
1420C22×C4—261no—
1421C22×C4—261no—
1422C22×C4—261no—
1423C22×C4—261no—
1424C22×C4—261no—
1425C22×C4—524no—
1426C22×C4—1042no—
1427C22×C4—1042no—
1428C22×C4C23×D1311yescharacteristic
1429C22×C4C23×D1311yescharacteristic
1430Q16—41no—
1431Q16—521no—
1432SD16—22no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—262no—
1437SD16—262no—
1438SD16—521no—
1439SD16—521no—
1440D8—22no—
1441D8—22no—
1442D8—41no—
1443D8—262no—
1444D8—521no—
1445D8#612914yescomplemented
1446M16—22no—
1447M16—22no—
1448M16—262no—
1449M16—521no—
1450M16—521no—
1451M16—521no—
1452C2×C8—131no—
1453C2×C8—131no—
1454C2×C8—131no—
1455C2×C8—131no—
1456C2×C8C23×D1311yescharacteristic
1457C2×C8C23×D1311yescharacteristic
1458C2×C8C23×D1311yescharacteristic
1459C2×C8C23×D1311yescharacteristic
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—131no—
1463C4⋊C4—131no—
1464C4⋊C4—131no—
1465C4⋊C4—131no—
1466C4⋊C4—131no—
1467C4⋊C4—131no—
1468C4⋊C4—131no—
1469C4⋊C4—131no—
1470C4⋊C4—131no—
1471C4⋊C4—131no—
1472C4⋊C4—131no—
1473C4⋊C4—261no—
1474C4⋊C4—261no—
1475C4⋊C4—261no—
1476C4⋊C4—261no—
1477C4⋊C4—261no—
1478C4⋊C4—261no—
1479C4⋊C4—261no—
1480C4⋊C4—261no—
1481C4⋊C4—261no—
1482C4⋊C4—261no—
1483C4⋊C4—261no—
1484C4⋊C4—261no—
1485C4⋊C4—261no—
1486C4⋊C4—261no—
1487C4⋊C4—261no—
1488C4⋊C4—261no—
1489C4⋊C4—261no—
1490C4⋊C4—261no—
1491C4⋊C4—261no—
1492C4⋊C4—261no—
1493C4⋊C4—261no—
1494C4⋊C4—261no—
1495C4⋊C4—261no—
1496C4⋊C4—261no—
1497C4⋊C4—261no—
1498C4⋊C4D4×D1311yescharacteristic
1499C4⋊C4C23×D1311yescharacteristic
1500C4⋊C4C23×D1311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—131no—
1512C22⋊C4—131no—
1513C22⋊C4—131no—
1514C22⋊C4—131no—
1515C22⋊C4—261no—
1516C22⋊C4—261no—
1517C22⋊C4—261no—
1518C22⋊C4—261no—
1519C22⋊C4—261no—
1520C22⋊C4—261no—
1521C22⋊C4—261no—
1522C22⋊C4—261no—
1523C22⋊C4—261no—
1524C22⋊C4—261no—
1525C22⋊C4—261no—
1526C22⋊C4—261no—
1527C22⋊C4—261no—
1528C22⋊C4—261no—
1529C22⋊C4—261no—
1530C22⋊C4—261no—
1531C22⋊C4—261no—
1532C22⋊C4—261no—
1533C22⋊C4—261no—
1534C22⋊C4—261no—
1535C22⋊C4—261no—
1536C22⋊C4—261no—
1537C22⋊C4—261no—
1538C22⋊C4—261no—
1539C22⋊C4—261no—
1540C22⋊C4—261no—
1541C22⋊C4—261no—
1542C22⋊C4D4×D1311yescharacteristic
1543C22⋊C4D4×D1311yescharacteristic
1544C42—131no—
1545C42—131no—
1546C42—131no—
1547C42—131no—
1548C42—131no—
1549C42—131no—
1550C42—131no—
1551C42—131no—
1552C42—131no—
1553C42—261no—
1554C42—261no—
1555C42—261no—
1556C42—261no—
1557C42—261no—
1558C42—261no—
1559C42—261no—
1560C42—261no—
1561C42—261no—
1562C42C23×D1311yescharacteristic
1563C13#6146411yescharacteristic, complemented, Sylow
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—131no—
1575C23—261no—
1576C23—522no—
1577C23—522no—
1578C23—1041no—
1579C23C2×D4×D1311yescharacteristic
1580C23C2×D4×D1311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—262no—
1586Q8—261no—
1587Q8—261no—
1588Q8—1041no—
1589Q8—1041no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—41no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—81no—
1602D4—81no—
1603D4—262no—
1604D4—261no—
1605D4—261no—
1606D4—522no—
1607D4—521no—
1608D4—522no—
1609D4—522no—
1610D4—522no—
1611D4—522no—
1612D4—1041no—
1613D4—1041no—
1614D4—1041no—
1615D4C2×#612912yes—
1616D4C2×#612912yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—131no—
1630C2×C4—131no—
1631C2×C4—131no—
1632C2×C4—131no—
1633C2×C4—131no—
1634C2×C4—131no—
1635C2×C4—131no—
1636C2×C4—262no—
1637C2×C4—261no—
1638C2×C4—261no—
1639C2×C4—261no—
1640C2×C4—261no—
1641C2×C4—261no—
1642C2×C4—261no—
1643C2×C4—261no—
1644C2×C4—261no—
1645C2×C4—261no—
1646C2×C4—521no—
1647C2×C4—521no—
1648C2×C4—522no—
1649C2×C4—522no—
1650C2×C4—522no—
1651C2×C4—522no—
1652C2×C4—521no—
1653C2×C4—521no—
1654C2×C4—521no—
1655C2×C4—522no—
1656C2×C4—522no—
1657C2×C4—522no—
1658C2×C4—522no—
1659C2×C4—522no—
1660C2×C4—522no—
1661C2×C4—1041no—
1662C2×C4—1041no—
1663C2×C4—1041no—
1664C2×C4—1041no—
1665C2×C4—1041no—
1666C2×C4—1041no—
1667C2×C4C2×D4×D1311yescharacteristic
1668C2×C4C2×D4×D1311yescharacteristic
1669C2×C4C2×D4×D1311yescharacteristic
1670C2×C4C2×D4×D1311yescharacteristic
1671C2×C4C24×D1311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—261no—
1676C8—261no—
1677C8—261no—
1678C8—261no—
1679C8C2×#612912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—22no—
1686C22—21no—
1687C22—21no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—84no—
1699C22—84no—
1700C22—261no—
1701C22—261no—
1702C22—261no—
1703C22—521no—
1704C22—521no—
1705C22—521no—
1706C22—1044no—
1707C22C22×D4×D1311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—132no—
1717C4—261no—
1718C4—261no—
1719C4—261no—
1720C4—261no—
1721C4—261no—
1722C4—261no—
1723C4—521no—
1724C4—521no—
1725C4—521no—
1726C4—521no—
1727C4—521no—
1728C4—521no—
1729C4—521no—
1730C4C22×#612911yescharacteristic
1731C4#1171965011yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2—81no—
1738C2—521no—
1739C2—1041no—
1740C2D4×#612911yescharacteristic
1741C2D13×#57511yescharacteristic
1742C2#1312961111yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3273C2
socleC22×C13C23×D4
hypercenter#3273D13
hypocenterC13#61464
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #13128441C2semidirect
2. #13128387C2semidirect
3. #13127829C2semidirect
4. #13127703C2semidirect
5. #13127491C2semidirect
6. #13127480C2semidirect
7. #13127457C2semidirect
8. #13127402C2semidirect
9. #13127398C2semidirect
10. #13127145C2semidirect
11. #13127071C2semidirect
12. #13127052C2semidirect
13. #13127045C2semidirect
14. #13127041C2semidirect
15. #13127037C2semidirect
16. #13126441C2semidirect
17. #13126430C2semidirect
18. #13125562C2semidirect
19. #13125558C2semidirect
20. #13125549C2semidirect
21. #13124991C2semidirect
22. #13124973C2semidirect
23. #13124969C2semidirect
24. #13124946C2semidirect
25. #13124942C2semidirect
26. #13124922C2semidirect
27. #13123852C2semidirect
28. AGL(1,ℤ/8)×Dic13C2semidirect
29. AGL(1,ℤ/8)×Dic13C2semidirect
30. C4×#88165C2semidirect
31. C13×#3273C2semidirect
35. C13×#546C22semidirect
38. #41×Dic13C22semidirect
40. #11719511C22semidirect
41. D4×C22⋊D13C22semidirect
42. C2×D4×Dic13C22semidirect
43. C2×D4×Dic13C22semidirect
45. #11719386C22semidirect
46. #11719385C22semidirect
47. #11719385C22semidirect
48. #11719376C22semidirect
53. #11719347C22semidirect
54. #11719340C22semidirect
55. #11719329C22semidirect
56. #11719327C22semidirect
63. #11719305C22semidirect
70. C4×D4×D13C22semidirect
71. #11719246C22semidirect
72. #11719244C22semidirect
73. #11719244C22semidirect
75. C4×#6129C22semidirect
80. C13×#495C22semidirect
81. C13×#468C22semidirect
82. C13×#468C22semidirect
84. C13×#463C22semidirect
86. C13×#452C22semidirect
88. C13×#447C22semidirect
90. C13×#436C22semidirect
94. #11718893C22semidirect
95. #11718879C22semidirect
96. #11718878C22semidirect
97. #11718876C22semidirect
98. #11718876C22semidirect
99. #11718850C22semidirect
100. #11718846C22semidirect
101. #11718845C22semidirect
102. #11718843C22semidirect
103. #11718836C22semidirect
104. #11718835C22semidirect
105. #11718835C22semidirect
106. #11718834C22semidirect
107. #11718830C22semidirect
108. #11718829C22semidirect
109. #11718826C22semidirect
110. #11718825C22semidirect
111. #11718825C22semidirect
112. #11718825C22semidirect
113. #11718825C22semidirect
114. #11718823C22semidirect
115. SD16×Dic13C22semidirect
116. SD16×Dic13C22semidirect
117. SD16×Dic13C22semidirect
118. SD16×Dic13C22semidirect
123. #11718814C22semidirect
126. #11718813C22semidirect
127. #11718813C22semidirect
133. D8×Dic13C22semidirect
134. #11718795C22semidirect
135. #11718795C22semidirect
136. #11718789C22semidirect
137. #11718789C22semidirect
138. #11718782C22semidirect
139. #11718782C22semidirect
140. M16×Dic13C22semidirect
141. M16×Dic13C22semidirect
142. #11718718C22semidirect
143. #11718717C22semidirect
144. #11718717C22semidirect
145. #11718715C22semidirect
146. #11718713C22semidirect
147. #11718710C22semidirect
148. #11718706C22semidirect
149. #11718706C22semidirect
150. #11718703C22semidirect
152. #11718695C22semidirect
153. #11718694C22semidirect
154. C4×#6105C22semidirect
155. C4×#6104C22semidirect
156. #11718673C22semidirect
157. #11718670C22semidirect
158. #11718670C22semidirect
159. #11718550C22semidirect
160. #11718542C22semidirect
161. #11718539C22semidirect
162. #11718535C22semidirect
163. #11718508C22semidirect
164. #11718496C22semidirect
165. #11718491C22semidirect
166. #11718490C22semidirect
167. #11718478C22semidirect
168. #11718476C22semidirect
169. #11718466C22semidirect
170. #11718461C22semidirect
171. #11718457C22semidirect
172. #11718455C22semidirect
173. #11718453C22semidirect
174. #11718450C22semidirect
175. #11718446C22semidirect
176. #11718446C22semidirect
177. #11718445C22semidirect
178. #11718435C22semidirect
179. #11718432C22semidirect
180. #11718431C22semidirect
181. #11718429C22semidirect
182. #11718424C22semidirect
183. #11718424C22semidirect
184. #11718424C22semidirect
185. #11718422C22semidirect
186. #11718422C22semidirect
187. #11718422C22semidirect
188. #11718421C22semidirect
189. #11718418C22semidirect
190. #11718418C22semidirect
191. #11718398C22semidirect
192. #11718396C22semidirect
193. #11718390C22semidirect
194. #11718390C22semidirect
195. #11718384C22semidirect
196. #11718382C22semidirect
197. #11718380C22semidirect
198. #11718380C22semidirect
199. C4×#6095C22semidirect
200. C4×#6094C22semidirect
201. #11718344C22semidirect
202. C8×Dic26C22semidirect
568. C13×D8#41semidirect
709. #3273D13semidirect
865. #546C2×D13semidirect
892. #495C2×D13semidirect
934. #468C2×D13semidirect
935. #468C2×D13semidirect
943. #463C2×D13semidirect
951. #452C2×D13semidirect
959. #447C2×D13semidirect
995. #436C2×D13semidirect
1445. D8#6129semidirect
1563. C13#61464semidirect

Maximal subgroups

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

subgroupindex
#131284412
#131283872
#131278292
#131277032
#131274912
#131274802
#131274572
#131274022
#131273982
#131271452
#131270712
#131270522
#131270452
#131270412
#131270372
#131264412
#131264302
#131255622
#131255582
#131255492
#131249912
#131249732
#131249692
#131249462
#131249422
#131249222
#131238522
AGL(1,ℤ/8)×Dic132
C4×#881652
C13×#32732
#6146413