Finite Group Databasebeta

← #29481223

Subgroups — #29481223

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438050C211yesmaximal, characteristic, complemented
2#21437701C211yesmaximal, characteristic, complemented
3#21437187C211yesmaximal, characteristic, complemented
4#21437166C211yesmaximal, characteristic, complemented
5#21436919C211yesmaximal, characteristic, complemented
6#21436853C211yesmaximal, characteristic, complemented
7#21436349C211yesmaximal, characteristic, complemented
8#21436299C211yesmaximal, characteristic, complemented
9#21436260C211yesmaximal, characteristic, complemented
10#21436232C211yesmaximal, characteristic, complemented
11#21436202C211yesmaximal, characteristic, complemented
12#21436170C211yesmaximal, characteristic, complemented
13#21435703C211yesmaximal, characteristic, complemented
14#21435600C211yesmaximal, characteristic, complemented
15#21435589C211yesmaximal, characteristic, complemented
16#21435579C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435498C211yesmaximal, characteristic, complemented
19#21435451C211yesmaximal, characteristic, complemented
20#21435446C211yesmaximal, characteristic, complemented
21#21435137C211yesmaximal, characteristic, complemented
22#21435082C211yesmaximal, characteristic, complemented
23#21435056C211yesmaximal, characteristic, complemented
24#21434235C211yesmaximal, characteristic, complemented
25#21434198C211yesmaximal, characteristic, complemented
26#21434147C211yesmaximal, characteristic, complemented
27#21433592C211yesmaximal, characteristic, complemented
28#21433557C211yesmaximal, characteristic, complemented
29#463×D59C211yesmaximal, characteristic, complemented
30#21433211C211yesmaximal, characteristic, complemented
31C59×#3275C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic
36#16838134C2211yescharacteristic, complemented
37#16838134C2211yescharacteristic, complemented
38#16838124C2211yescharacteristic, complemented
39#16838114—21no—
40#16838111C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838099C2211yescharacteristic
43#16838098C2211yescharacteristic, complemented
44#16838095—21no—
45#16838081—21no—
46#16838079—21no—
47#16838078—21no—
48#16838075—21no—
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838062C2211yescharacteristic
51#16838048C2211yescharacteristic, complemented
52#16838041—21no—
53#16838040C2211yescharacteristic
54#16838040C2211yescharacteristic
55#16838039—21no—
56#16838036C2211yescharacteristic, complemented
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16838022—21no—
59#16837989—21no—
60#16837986—21no—
61#16837948C2211yescharacteristic, complemented
62#16837947C2211yescharacteristic, complemented
63#16837939C2211yescharacteristic, complemented
64#16837938C2211yescharacteristic, complemented
65#16837938C2211yescharacteristic, complemented
66#16837933C2211yescharacteristic, complemented
67#16837931C2211yescharacteristic, complemented
68#16837929—21no—
69C2×#14273716C2211yescharacteristic, complemented
70#124×D59C2211yescharacteristic, complemented
71#16837912—21no—
72#16837908—21no—
73#16837874—21no—
74#41×Dic59C2211yescharacteristic, complemented
75C4×#11745687C2211yescharacteristic
76C2×D4×Dic59C2211yescharacteristic, complemented
77C2×(C22⋊D59)⋊C4—21no—
78C4×D4×D59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic
81#16837788C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic, complemented
89#16837756C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837709C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837686C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic
107#16837653C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837648C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837640C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic
114#16837634C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837620C2211yescharacteristic, complemented
124#16837620C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic
126#16837619C2211yescharacteristic
127#16837619C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837618C2211yescharacteristic, complemented
132#16837617C2211yescharacteristic
133#16837616C2211yescharacteristic, complemented
134#16837615C2211yescharacteristic, complemented
135#16837615C2211yescharacteristic, complemented
136#16837614C2211yescharacteristic, complemented
137#16837614C2211yescharacteristic, complemented
138#16837605C2211yescharacteristic, complemented
139#16837605C2211yescharacteristic, complemented
140#16837601C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837564C2211yescharacteristic, complemented
145#16837562C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837549C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic, complemented
151#16837541C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic
155#16837536C2211yescharacteristic
156#16837535C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic
158#16837532C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic
162#16837511C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168C4×#11745671C2211yescharacteristic, complemented
169C4×D472C2211yescharacteristic, complemented
170C4×#11745669C2211yescharacteristic, complemented
171#16837480C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837453C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837425C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837411C2211yescharacteristic, complemented
183#16837408C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic
200C59×#448C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C23×Dic59—21no—
213C22×C4×D59—21no—
214#14273753—42no—
215#14273752—42no—
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224SD16×D59—42no—
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232D8×D59—42no—
233C2×#11745664C2311yescharacteristic
234C2×#11745664C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725—21no—
239#14273725C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273721—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273719C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273718C2311yescharacteristic
254#14273717—21no—
255#14273716—21no—
256#14273716—21no—
257#14273716C2311yescharacteristic
258#14273716C2311yescharacteristic
259#14273716C2311yescharacteristic
260#14273716C2311yescharacteristic
261#14273716C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273712—21no—
271#14273712—21no—
272#14273711—21no—
273#14273711—21no—
274#14273711—21no—
275#14273711—21no—
276#14273710—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273707—21no—
285#14273706—21no—
286#14273706—21no—
287#14273706C2311yescharacteristic
288#14273705—21no—
289#14273705—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273703—21no—
294#14273703C2311yescharacteristic
295#14273703C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273701C2311yescharacteristic
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273698—21no—
311#14273698C2311yescharacteristic
312#14273697—21no—
313#14273696—21no—
314#14273695—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318#14273695—21no—
319Q8×Dic59C2311yescharacteristic
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322C4×Dic118C2311yescharacteristic
323#14273692D411yescharacteristic
324#14273692C2311yescharacteristic
325C4×D236—21no—
326C4×D236C2311yescharacteristic
327C4×D236C2311yescharacteristic
328D4×Dic59—21no—
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59D411yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689—21no—
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59C2311yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4D411yescharacteristic
360(C22⋊D59)⋊C4D411yescharacteristic
361#14273686—21no—
362#14273686C2311yescharacteristic
363#14273685—21no—
364#14273685—21no—
365#14273685D411yescharacteristic
366#14273684—21no—
367#14273684—21no—
368#14273683—21no—
369#14273683—21no—
370#14273683D411yescharacteristic
371#14273683D411yescharacteristic
372C2×C4⋊Dic59C2311yescharacteristic
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C2×C4×Dic59—21no—
385C2×C4×Dic59C2311yescharacteristic
386C2×C4×Dic59C2311yescharacteristic
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C4×C59⋊C8C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443#137×C59—42no—
444AGL(1,ℤ/8)×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×Q8×C59C2311yescharacteristic
469C4×D4×C59—21no—
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490#41×C59—41no—
491#41×C59—41no—
492C2×Q8×C59—21no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—22no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—41no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—82no—
537C22×Dic59C2×D411yescharacteristic
538C22×Dic59C2×D411yescharacteristic
539C22×Dic59C2×D411yescharacteristic
540C22×Dic59C2×D411yescharacteristic
541Q8×D59—41no—
542Q8×D59—41no—
543#11745687—42no—
544#11745687—82no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—41no—
549D4×D59—44no—
550#11745685—41no—
551#11745685—41no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—41no—
555C2×D236—41no—
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—82no—
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2411yescharacteristic
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118C2×D411yescharacteristic
573C2×Dic118C2411yescharacteristic
574Q16×C59—41no—
575Q16×C59—41no—
576SD16×C59—22no—
577SD16×C59—22no—
578SD16×C59—41no—
579SD16×C59—41no—
580SD16×C59—41no—
581D8×C59—22no—
582D8×C59—41no—
583M16×C59—41no—
584M16×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59C2×D411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
607C42×C59C2411yescharacteristic
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745672—41no—
622#11745671—41no—
623#11745671—41no—
624#11745671—41no—
625#11745671—41no—
626#11745670—22no—
627#11745670—41no—
628#11745669—22no—
629#11745669—22no—
630#11745669—41no—
631#11745669—41no—
632#11745669—41no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699#11745664—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—41no—
705D472—41no—
706#11745660—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—42no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—81no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—41no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59H(5,𝔽2)12yes—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—42no—
759C2×C4×C59—81no—
760C2×C4×C59—81no—
761C2×C4×C59—81no—
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C2511yescharacteristic
767C22⋊D59—22no—
768C22⋊D59—22no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—41no—
786C2×Dic59—41no—
787C2×Dic59—41no—
788C2×Dic59—41no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59—81no—
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—42no—
810D236—81no—
811C4×D59—22no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—41no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822Dic118—21no—
823Dic118—21no—
824Dic118—41no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—22no—
839C22×C59—21no—
840C22×C59—21no—
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—84no—
852C22×C59C23×D411yescharacteristic
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—84no—
865C2×D59—162no—
866C2×D59—162no—
867C2×D59#57512yes—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59C2×H(5,𝔽2)11yescharacteristic
878C4×C59#58511yescharacteristic
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275D5911yescharacteristic, complemented
904#3273—591no—
905#3266—591no—
906#3265—591no—
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—42no—
923C2×C59—41no—
924C2×C59—41no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#348811yescharacteristic
928C2×C59C2×#57511yescharacteristic
929C2×C59#358511yescharacteristic
930D59—22no—
931D59—81no—
932D59—81no—
933D59—81no—
934C2×#137C2×D5911yescharacteristic, complemented
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
938C22×SD16—591no—
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548C2×D5911yescharacteristic, complemented
956#546—591no—
957#546—591no—
958#546—591no—
959#546—1181no—
960#546—1181no—
961#546C2×D5911yescharacteristic, complemented
962D42—591no—
963D42—591no—
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—591no—
974#529—1181no—
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496—591no—
989#495—591no—
990#495C2×D5911yescharacteristic, complemented
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470C2×D5911yescharacteristic, complemented
1014#469—591no—
1015#469—591no—
1016#469C2×D5911yescharacteristic, complemented
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#467—591no—
1022#466—591no—
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464C2×D5911yescharacteristic, complemented
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452C2×D5911yescharacteristic, complemented
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450C2×D5911yescharacteristic, complemented
1062#449—591no—
1063#449—591no—
1064#449C2×D5911yescharacteristic
1065#448—591no—
1066#448—591no—
1067#448C2×D5911yescharacteristic, complemented
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447—591no—
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440—591no—
1083C4×SD16—591no—
1084C4×SD16C2×D5911yescharacteristic, complemented
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436C2×D5911yescharacteristic, complemented
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435—591no—
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—1181no—
1109C2×#41C22×D5911yescharacteristic
1110C2×#41C22×D5911yescharacteristic
1111C22×Q8—591no—
1112C22×Q8C22×D5911yescharacteristic
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4—1181no—
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—42no—
1122AGL(1,ℤ/8)—42no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16C22×D5911yescharacteristic
1127C2×Q16C22×D5911yescharacteristic
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—2362no—
1136C2×SD16C22×D5911yescharacteristic
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—591no—
1148C2×D8—2362no—
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16C22×D5911yescharacteristic
1154C2×M16C22×D5911yescharacteristic
1155C22×C8—591no—
1156C22×C8—591no—
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—1181no—
1160#127—591no—
1161#127—591no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—591no—
1174#125—1181no—
1175#124—21no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
1192#124C22×D5911yescharacteristic
1193#123—21no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208C22⋊Q8—21no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8C22×D5911yescharacteristic
1222C22⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—21no—
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—591no—
1324C2×C42—1181no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106C22×D5911yescharacteristic
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103C22×D5911yescharacteristic
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97—591no—
1385C4×C8—591no—
1386C4×C8C22×D5911yescharacteristic
1387C24—21no—
1388C24—1181no—
1389C24—1181no—
1390C24—1181no—
1391#41—22no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—4722no—
1396#41—2361no—
1397#41—2361no—
1398#41—2362no—
1399C2×Q8—21no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—591no—
1403C2×Q8—591no—
1404C2×Q8—1181no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2361no—
1408C2×Q8C23×D5911yescharacteristic
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—41no—
1418C2×D4—591no—
1419C2×D4—591no—
1420C2×D4—591no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1182no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2364no—
1443C2×D4—2364no—
1444C2×D4D4×D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—4722no—
1474C22×C4—4722no—
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—41no—
1478Q16—41no—
1479Q16—2361no—
1480SD16—22no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—1182no—
1486SD16—2361no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—22no—
1493D8—41no—
1494D8—1182no—
1495D8—1182no—
1496D8—2361no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—41no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—2361no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
1526C4⋊C4—591no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4D4×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
1559C22⋊C4—591no—
1560C22⋊C4—591no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4D4×D5911yescharacteristic
1595C22⋊C4D4×D5911yescharacteristic
1596C42—21no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—591no—
1619C23—1181no—
1620C23—1181no—
1621C23—1181no—
1622C23—4721no—
1623C23—4721no—
1624C23—4721no—
1625C23—4721no—
1626C23—4721no—
1627C23—2362no—
1628C23—2362no—
1629C23—2362no—
1630C23—2362no—
1631C23C2×D4×D5911yescharacteristic
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—2361no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—41no—
1651D4—42no—
1652D4—42no—
1653D4—42no—
1654D4—81no—
1655D4—81no—
1656D4—1182no—
1657D4—1182no—
1658D4—1181no—
1659D4—1181no—
1660D4—1181no—
1661D4—1181no—
1662D4—1181no—
1663D4—1181no—
1664D4—4721no—
1665D4—4721no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—2362no—
1672D4—2362no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377212yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—591no—
1697C2×C4—591no—
1698C2×C4—1182no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—1181no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—2361no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2361no—
1721C2×C4—2361no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4—2362no—
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—22no—
1741C22—21no—
1742C22—21no—
1743C22—21no—
1744C22—21no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—84no—
1754C22—592no—
1755C22—1181no—
1756C22—1181no—
1757C22—9442no—
1758C22—9442no—
1759C22—4724no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—1181no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377211yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—41no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—1182no—
1799C2—4721no—
1800C2—4721no—
1801C2—4721no—
1802C2#2143775611yescharacteristic
1803C2#575×D5911yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3275C2
socleC22×C59C23×D4
hypercenter#3275D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #21438050C2semidirect
2. #21437701C2semidirect
3. #21437187C2semidirect
4. #21437166C2semidirect
5. #21436919C2semidirect
6. #21436853C2semidirect
7. #21436349C2semidirect
8. #21436299C2semidirect
9. #21436260C2semidirect
10. #21436232C2semidirect
11. #21436202C2semidirect
12. #21436170C2semidirect
13. #21435703C2semidirect
14. #21435600C2semidirect
15. #21435589C2semidirect
16. #21435579C2semidirect
17. #21435570C2semidirect
18. #21435498C2semidirect
19. #21435451C2semidirect
20. #21435446C2semidirect
21. #21435137C2semidirect
22. #21435082C2semidirect
23. #21435056C2semidirect
24. #21434235C2semidirect
25. #21434198C2semidirect
26. #21434147C2semidirect
27. #21433592C2semidirect
28. #21433557C2semidirect
29. #463×D59C2semidirect
30. #21433211C2semidirect
31. C59×#3275C2semidirect
32. C2×#14273753C22semidirect
34. C2×SD16×D59C22semidirect
36. #16838134C22semidirect
37. #16838134C22semidirect
38. #16838124C22semidirect
40. #16838111C22semidirect
41. #16838110C22semidirect
43. #16838098C22semidirect
49. Q8×C22⋊D59C22semidirect
51. #16838048C22semidirect
56. #16838036C22semidirect
57. D4×C22⋊D59C22semidirect
61. #16837948C22semidirect
62. #16837947C22semidirect
63. #16837939C22semidirect
64. #16837938C22semidirect
65. #16837938C22semidirect
66. #16837933C22semidirect
67. #16837931C22semidirect
69. C2×#14273716C22semidirect
70. #124×D59C22semidirect
74. #41×Dic59C22semidirect
76. C2×D4×Dic59C22semidirect
78. C4×D4×D59C22semidirect
79. #16837795C22semidirect
81. #16837788C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837769C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837763C22semidirect
88. #16837757C22semidirect
89. #16837756C22semidirect
90. #16837744C22semidirect
91. #16837736C22semidirect
92. #16837730C22semidirect
93. #16837723C22semidirect
94. #16837722C22semidirect
95. #16837716C22semidirect
96. #16837709C22semidirect
97. #16837707C22semidirect
98. #16837707C22semidirect
99. #16837703C22semidirect
100. #16837701C22semidirect
101. #16837701C22semidirect
102. #16837700C22semidirect
103. #16837700C22semidirect
104. #16837686C22semidirect
105. #16837680C22semidirect
107. #16837653C22semidirect
108. #16837650C22semidirect
109. #16837650C22semidirect
110. #16837648C22semidirect
111. #16837646C22semidirect
112. #16837640C22semidirect
114. #16837634C22semidirect
115. #16837628C22semidirect
116. #16837626C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837622C22semidirect
122. #16837620C22semidirect
123. #16837620C22semidirect
124. #16837620C22semidirect
127. #16837619C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
130. #16837619C22semidirect
131. #16837618C22semidirect
133. #16837616C22semidirect
134. #16837615C22semidirect
135. #16837615C22semidirect
136. #16837614C22semidirect
137. #16837614C22semidirect
138. #16837605C22semidirect
139. #16837605C22semidirect
140. #16837601C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837564C22semidirect
145. #16837562C22semidirect
146. #16837556C22semidirect
147. #16837551C22semidirect
148. #16837551C22semidirect
149. #16837549C22semidirect
150. #16837547C22semidirect
151. #16837541C22semidirect
152. #16837539C22semidirect
153. #16837538C22semidirect
156. #16837535C22semidirect
158. #16837532C22semidirect
159. #16837529C22semidirect
160. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837506C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. #16837499C22semidirect
168. C4×#11745671C22semidirect
169. C4×D472C22semidirect
170. C4×#11745669C22semidirect
171. #16837480C22semidirect
172. #16837476C22semidirect
173. #16837476C22semidirect
174. #16837471C22semidirect
175. #16837471C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837453C22semidirect
179. #16837425C22semidirect
180. #16837425C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837411C22semidirect
183. #16837408C22semidirect
184. #16837404C22semidirect
185. #16837403C22semidirect
186. #103×D59C22semidirect
187. #102×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#548C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#470C22semidirect
194. C59×#469C22semidirect
195. C59×#464C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
200. C59×#448C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#436C22semidirect
903. #3275D59semidirect
934. C2×#137C2×D59semidirect
937. C2×AGL(1,ℤ/8)C2×D59semidirect
955. #548C2×D59semidirect
961. #546C2×D59semidirect
990. #495C2×D59semidirect
1013. #470C2×D59semidirect
1016. #469C2×D59semidirect
1031. #464C2×D59semidirect
1048. #463C2×D59semidirect
1057. #452C2×D59semidirect
1061. #450C2×D59semidirect
1067. #448C2×D59semidirect
1084. C4×SD16C2×D59semidirect
1088. #436C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380502
#214377012
#214371872
#214371662
#214369192
#214368532
#214363492
#214362992
#214362602
#214362322
#214362022
#214361702
#214357032
#214356002
#214355892
#214355792
#214355702
#214354982
#214354512
#214354462
#214351372
#214350822
#214350562
#214342352
#214341982
#214341472
#214335922
#214335572
#463×D592
#214332112
C59×#32752
#6197159