Finite Group Databasebeta

← #29481254

Subgroups — #29481254

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438050C211yesmaximal, characteristic, complemented
2#21437712C211yesmaximal, characteristic, complemented
3#21437175C211yesmaximal, characteristic, complemented
4#21437168C211yesmaximal, characteristic, complemented
5#21436934C211yesmaximal, characteristic, complemented
6#21436868C211yesmaximal, characteristic, complemented
7#21436364C211yesmaximal, characteristic, complemented
8#21436314C211yesmaximal, characteristic, complemented
9#21436140C211yesmaximal, characteristic, complemented
10#21436112C211yesmaximal, characteristic, complemented
11#21436082C211yesmaximal, characteristic, complemented
12#21436050C211yesmaximal, characteristic, complemented
13#21435728C211yesmaximal, characteristic, complemented
14#21435669C211yesmaximal, characteristic, complemented
15#21435660C211yesmaximal, characteristic, complemented
16#21435600C211yesmaximal, characteristic, complemented
17#21435594C211yesmaximal, characteristic, complemented
18#21435493C211yesmaximal, characteristic, complemented
19#21435462C211yesmaximal, characteristic, complemented
20#21435446C211yesmaximal, characteristic, complemented
21#21435131C211yesmaximal, characteristic, complemented
22#21435098C211yesmaximal, characteristic, complemented
23#21435056C211yesmaximal, characteristic, complemented
24#21434268C211yesmaximal, characteristic, complemented
25#21434198C211yesmaximal, characteristic, complemented
26#21434180C211yesmaximal, characteristic, complemented
27#21433592C211yesmaximal, characteristic, complemented
28#21433565C211yesmaximal, characteristic, complemented
29#464×D59C211yesmaximal, characteristic, complemented
30#21433211C211yesmaximal, characteristic, complemented
31C59×#3277C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic
34C2×Q16×D59C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic
36#16838134C2211yescharacteristic
37#16838128C2211yescharacteristic, complemented
38#16838124C2211yescharacteristic
39#16838121—21no—
40#16838121C2211yescharacteristic, complemented
41#16838114—21no—
42#16838092—21no—
43#16838092C2211yescharacteristic, complemented
44#16838086—21no—
45#16838086C2211yescharacteristic
46#16838081—21no—
47#16838079—21no—
48Q8×C22⋊D59C2211yescharacteristic
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838062C2211yescharacteristic
51#16838059C2211yescharacteristic
52#16838052—21no—
53#16838052C2211yescharacteristic, complemented
54#16838048C2211yescharacteristic
55#16838041—21no—
56#16838040C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16838022—21no—
59#16837989—21no—
60#16837986—21no—
61#16837954—21no—
62#16837954C2211yescharacteristic, complemented
63#16837948C2211yescharacteristic
64#16837939C2211yescharacteristic
65#16837938C2211yescharacteristic
66#16837933—21no—
67#16837933C2211yescharacteristic
68#16837933C2211yescharacteristic, complemented
69#16837931—21no—
70#16837931C2211yescharacteristic, complemented
71C2×#14273716C2211yescharacteristic
72#124×D59C2211yescharacteristic
73#16837874—21no—
74#41×Dic59C2211yescharacteristic, complemented
75C4×#11745687—21no—
76C4×#11745687C2211yescharacteristic
77C2×Q8×Dic59C2211yescharacteristic, complemented
78C4×Q8×D59C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic
80#16837795C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837790C2211yescharacteristic
83#16837784C2211yescharacteristic
84#16837769C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic
86#16837763C2211yescharacteristic
87#16837763C2211yescharacteristic, complemented
88#16837757C2211yescharacteristic
89#16837756C2211yescharacteristic, complemented
90#16837744C2211yescharacteristic, complemented
91#16837735C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic
94#16837721C2211yescharacteristic
95#16837717C2211yescharacteristic
96#16837711C2211yescharacteristic, complemented
97#16837709C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837707C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic
102#16837703C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837696C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837660C2211yescharacteristic, complemented
107#16837658C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic
110#16837648C2211yescharacteristic
111#16837646C2211yescharacteristic
112#16837640C2211yescharacteristic, complemented
113#16837637C2211yescharacteristic
114#16837634C2211yescharacteristic
115#16837628C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic
117#16837627C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic
119#16837626C2211yescharacteristic
120#16837626C2211yescharacteristic
121#16837626C2211yescharacteristic, complemented
122#16837626C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic
125#16837624C2211yescharacteristic
126#16837623C2211yescharacteristic, complemented
127#16837622C2211yescharacteristic, complemented
128#16837622C2211yescharacteristic, complemented
129#16837622C2211yescharacteristic, complemented
130#16837621C2211yescharacteristic, complemented
131#16837619C2211yescharacteristic
132#16837619C2211yescharacteristic
133#16837619C2211yescharacteristic, complemented
134#16837619C2211yescharacteristic, complemented
135#16837616C2211yescharacteristic
136#16837615C2211yescharacteristic, complemented
137#16837614C2211yescharacteristic, complemented
138#16837611C2211yescharacteristic, complemented
139#16837610C2211yescharacteristic, complemented
140#16837610C2211yescharacteristic, complemented
141#16837605C2211yescharacteristic, complemented
142#16837600C2211yescharacteristic
143#16837600C2211yescharacteristic
144#16837566C2211yescharacteristic, complemented
145#16837564C2211yescharacteristic, complemented
146#16837564C2211yescharacteristic, complemented
147#16837558C2211yescharacteristic, complemented
148#16837556C2211yescharacteristic, complemented
149#16837556C2211yescharacteristic, complemented
150#16837555C2211yescharacteristic
151#16837552C2211yescharacteristic
152#16837551C2211yescharacteristic
153#16837545C2211yescharacteristic, complemented
154#16837542C2211yescharacteristic
155#16837541C2211yescharacteristic
156#16837539C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic
158#16837532C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837509C2211yescharacteristic, complemented
162#16837509C2211yescharacteristic, complemented
163#16837506C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic
165#16837505C2211yescharacteristic
166#16837503C2211yescharacteristic, complemented
167#16837499C2211yescharacteristic, complemented
168C4×#11745672C2211yescharacteristic, complemented
169C4×#11745660C2211yescharacteristic, complemented
170C4×#11745671C2211yescharacteristic, complemented
171#16837480C2211yescharacteristic, complemented
172#16837476C2211yescharacteristic
173#16837476C2211yescharacteristic, complemented
174#16837471C2211yescharacteristic
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
184#16837404C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186#103×D59C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C2×#137×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191C59×#548C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic
194C59×#468C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#451C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic
200C59×#449C2211yescharacteristic, complemented
201C4×Q16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211#14273758—42no—
212#14273752—42no—
213C2×Dic236C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218Q16×D59—42no—
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—42no—
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745664C2311yescharacteristic
231C2×#11745664C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273726—21no—
235#14273726C2311yescharacteristic
236#14273725—21no—
237#14273725—21no—
238#14273725C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273719—21no—
253#14273719C2311yescharacteristic
254#14273718—21no—
255#14273718C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273716—21no—
261#14273716—21no—
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273716C2311yescharacteristic
266#14273715C2311yescharacteristic
267#14273714—21no—
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273711—21no—
277#14273711—21no—
278#14273710—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273706—21no—
288#14273706—21no—
289#14273706—21no—
290#14273706C2311yescharacteristic
291#14273706C2311yescharacteristic
292#14273706C2311yescharacteristic
293#14273705—21no—
294#14273705—21no—
295#14273704—21no—
296#14273704—21no—
297#14273704—21no—
298#14273703—21no—
299#14273703—21no—
300#14273703C2311yescharacteristic
301#14273703C2311yescharacteristic
302#14273702C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273698—21no—
311#14273698C2311yescharacteristic
312#14273697—21no—
313#14273695—21no—
314#14273695—21no—
315#14273695—21no—
316Q8×Dic59—21no—
317Q8×Dic59—21no—
318Q8×Dic59C2311yescharacteristic
319Q8×Dic59C2311yescharacteristic
320Q8×Dic59C2311yescharacteristic
321Q8×Dic59C2311yescharacteristic
322Q8×Dic59C2311yescharacteristic
323Q8×Dic59C2311yescharacteristic
324C4×Dic118—21no—
325C4×Dic118—21no—
326C4×Dic118C2311yescharacteristic
327C4×Dic118C2311yescharacteristic
328#14273692—21no—
329#14273692—21no—
330#14273692D411yescharacteristic
331#14273692C2311yescharacteristic
332#14273692C2311yescharacteristic
333C4×D236—21no—
334C4×D236C2311yescharacteristic
335D4×Dic59—21no—
336D4×Dic59—21no—
337D4×Dic59—21no—
338D4×Dic59—21no—
339D4×Dic59D411yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343#14273689—21no—
344#14273689C2311yescharacteristic
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4D411yescharacteristic
356(C22⋊D59)⋊C4D411yescharacteristic
357#14273686—21no—
358#14273686C2311yescharacteristic
359#14273685—21no—
360#14273685—21no—
361#14273685D411yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273683—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370#14273683D411yescharacteristic
371#14273683D411yescharacteristic
372C2×C4⋊Dic59—21no—
373C2×C4⋊Dic59C2311yescharacteristic
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C2×(C2×D59)⋊C4—21no—
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59C2311yescharacteristic
385C2×C4×Dic59C2311yescharacteristic
386C42×D59—21no—
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
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#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
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×Q8×C59C2311yescharacteristic
443#137×C59—42no—
444#137×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×Q16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59—21no—
458#124×C59C2311yescharacteristic
459#124×C59C2311yescharacteristic
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59—21no—
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468C4×Q8×C59C2311yescharacteristic
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C4×C8×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486#41×C59—22no—
487#41×C59—41no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—21no—
492C2×Q8×C59—22no—
493C2×Q8×C59—41no—
494C2×Q8×C59—41no—
495C2×Q8×C59—41no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59C2411yescharacteristic
512C22×C4×C59C2411yescharacteristic
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59C2×D411yescharacteristic
526C22×Dic59C2×D411yescharacteristic
527C22×Dic59C2×D411yescharacteristic
528C22×Dic59C2×D411yescharacteristic
529Q8×D59—22no—
530Q8×D59—41no—
531Q8×D59—41no—
532Q8×D59—41no—
533#11745687—42no—
534#11745687—44no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—44no—
538#11745685—41no—
539#11745685—41no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—41no—
543C2×D236—41no—
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2×D411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118—21no—
558C2×Dic118C2×D411yescharacteristic
559C2×Dic118C2411yescharacteristic
560C2×Dic118C2411yescharacteristic
561Q16×C59—22no—
562Q16×C59—22no—
563Q16×C59—41no—
564Q16×C59—41no—
565SD16×C59—22no—
566SD16×C59—41no—
567SD16×C59—41no—
568SD16×C59—41no—
569D8×C59—41no—
570M16×C59—41no—
571M16×C59—41no—
572C2×C8×C59C2411yescharacteristic
573C2×C8×C59C2411yescharacteristic
574C2×C8×C59C2411yescharacteristic
575C2×C8×C59C2411yescharacteristic
576C4⋊C4×C59—21no—
577C4⋊C4×C59—21no—
578C4⋊C4×C59—21no—
579C4⋊C4×C59—21no—
580C4⋊C4×C59C2×D411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
582C4⋊C4×C59C2411yescharacteristic
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59C2×D411yescharacteristic
592C22⋊C4×C59C2×D411yescharacteristic
593C42×C59—21no—
594C42×C59—21no—
595C42×C59C2411yescharacteristic
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
607C22⋊Dic59—21no—
608C22⋊Dic59C2×D411yescharacteristic
609C22⋊Dic59C2×D411yescharacteristic
610#11745672—22no—
611#11745672—41no—
612#11745672—41no—
613#11745672—41no—
614#11745671—22no—
615#11745671—22no—
616#11745671—41no—
617#11745671—41no—
618#11745670—41no—
619#11745670—41no—
620#11745669—41no—
621#11745669—41no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59C2×D411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696#11745664—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702#11745660—41no—
703#11745660—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—81no—
715C22×D59—81no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59C22×D411yescharacteristic
719Q8×C59—21no—
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—21no—
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—42no—
727Q8×C59—81no—
728Q8×C59H(5,𝔽2)12yes—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—41no—
734D4×C59—42no—
735D4×C59—42no—
736D4×C59—42no—
737D4×C59—81no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—42no—
749C2×C4×C59—42no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C2511yescharacteristic
757C22⋊D59—22no—
758C22⋊D59—22no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—41no—
772C2×Dic59—41no—
773C2×Dic59—41no—
774C2×Dic59—41no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—42no—
778C2×Dic59—81no—
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—42no—
791D236—81no—
792C4×D59—22no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—41no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—81no—
800C4×D59—81no—
801C4×D59—81no—
802Dic118—21no—
803Dic118—21no—
804Dic118—21no—
805Dic118—21no—
806Dic118—41no—
807Dic118—42no—
808Dic118—42no—
809Dic118—81no—
810C8×C59—21no—
811C8×C59—21no—
812C8×C59—21no—
813C8×C59—21no—
814C59⋊C8—21no—
815C59⋊C8—21no—
816C59⋊C8—21no—
817C59⋊C8—21no—
818#61972—591nomaximal, Sylow
819C22×C59—21no—
820C22×C59—21no—
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59C23×D411yescharacteristic
832C2×D59—21no—
833C2×D59—21no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—162no—
841C2×D59—162no—
842C2×D59#57512yes—
843C4×C59—21no—
844C4×C59—22no—
845C4×C59—21no—
846C4×C59—21no—
847C4×C59—21no—
848C4×C59—41no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59C2×H(5,𝔽2)11yescharacteristic
854C4×C59#58511yescharacteristic
855Dic59—21no—
856Dic59—21no—
857Dic59—21no—
858Dic59—21no—
859Dic59—21no—
860Dic59—21no—
861Dic59—21no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868#3514—591no—
869#3482—591no—
870#3402—591no—
871#3401—591no—
872#3377—591no—
873#3371—591no—
874#3327—591no—
875#3323—591no—
876#3312—591no—
877#3310—591no—
878#3308—591no—
879#3306—591no—
880#3277D5911yescharacteristic, complemented
881#3275—591no—
882#3270—591no—
883#3270—591no—
884#3266—591no—
885#3265—591no—
886#3256—591no—
887#3252—591no—
888#3250—591no—
889#3219—591no—
890#3215—591no—
891#3211—591no—
892#3117—591no—
893#3111—591no—
894#3108—591no—
895#3040—591no—
896#3037—591no—
897C2×#464—591no—
898#2989—591no—
899C2×C59—41no—
900C2×C59—41no—
901C2×C59—81no—
902C2×C59—81no—
903C2×C59#348811yescharacteristic
904C2×C59C2×#57511yescharacteristic
905C2×C59#358611yescharacteristic
906D59—22no—
907D59—81no—
908D59—81no—
909C2×#137—591no—
910C2×#137C2×D5911yescharacteristic, complemented
911C2×#137C2×D5911yescharacteristic, complemented
912C2×AGL(1,ℤ/8)—591no—
913C22×Q16—591no—
914C22×SD16—591no—
915#559—591no—
916#557—591no—
917#556—591no—
918#556—591no—
919#556—1181no—
920#555—1181no—
921#552—591no—
922#552—591no—
923#552—1181no—
924#552—1181no—
925#551—1181no—
926#551—1181no—
927D4×Q8—591no—
928D4×Q8—591no—
929#548—591no—
930#548—591no—
931#548C2×D5911yescharacteristic
932#548C2×D5911yescharacteristic, complemented
933#547—591no—
934#547—1181no—
935#546—591no—
936#546—591no—
937#546—1181no—
938D42—591no—
939#542—1181no—
940#538—1181no—
941#538—1181no—
942#533—591no—
943#533—1181no—
944#532—591no—
945#529—591no—
946#529—591no—
947#529—591no—
948#529—591no—
949#529—591no—
950#529—1181no—
951#529—1181no—
952C2×#124—591no—
953C2×#124—591no—
954#518—1181no—
955C4×#41—591no—
956C4×#41—591no—
957C4×#41—1181no—
958C2×C4×Q8—591no—
959C2×C4×Q8—591no—
960#497—591no—
961#497—591no—
962#497—591no—
963#496—591no—
964#495—591no—
965#495C2×D5911yescharacteristic, complemented
966#491—591no—
967#490—591no—
968#489—591no—
969#489—591no—
970#488—591no—
971#488—591no—
972#485—591no—
973#484—591no—
974#483—591no—
975#482—591no—
976#481—591no—
977#480—591no—
978#479—591no—
979#479—591no—
980#479—591no—
981#479—591no—
982#479—591no—
983#478—591no—
984#478—591no—
985#478—591no—
986#477—591no—
987#476—591no—
988#470—591no—
989#470—591no—
990#470—591no—
991#469—591no—
992#468—591no—
993#468—591no—
994#468C2×D5911yescharacteristic
995#468C2×D5911yescharacteristic, complemented
996#467—591no—
997#466—591no—
998#465—591no—
999#465—591no—
1000#464—591no—
1001#464—591no—
1002#464—591no—
1003#464—591no—
1004#464—591no—
1005#464—591no—
1006#464—591no—
1007#464—591no—
1008#464—591no—
1009#464—591no—
1010#464—591no—
1011#464—591no—
1012#464—591no—
1013#464—591no—
1014#464—591no—
1015#464C2×D5911yescharacteristic, complemented
1016#464C2×D5911yescharacteristic, complemented
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#462—591no—
1025#462—591no—
1026#462—591no—
1027#461—591no—
1028#460—591no—
1029#460—591no—
1030#452—591no—
1031#452—591no—
1032#452—591no—
1033#451—591no—
1034#451—591no—
1035#451—591no—
1036#451C2×D5911yescharacteristic, complemented
1037#451C2×D5911yescharacteristic, complemented
1038#450—591no—
1039#450—591no—
1040#450—591no—
1041#449—591no—
1042#449C2×D5911yescharacteristic
1043#449C2×D5911yescharacteristic, complemented
1044#448—591no—
1045#448—591no—
1046#448—591no—
1047#447—591no—
1048#446—591no—
1049#446—591no—
1050#442—591no—
1051#441—591no—
1052#441—591no—
1053#441—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058C4×Q16—591no—
1059C4×Q16C2×D5911yescharacteristic, complemented
1060C4×SD16—591no—
1061C4×SD16—591no—
1062#436—591no—
1063#436C2×D5911yescharacteristic, complemented
1064#435—591no—
1065#435—591no—
1066#435—591no—
1067#435—591no—
1068#432—591no—
1069#432—591no—
1070#431—591no—
1071#423—591no—
1072#423—591no—
1073C2×C4⋊C8—591no—
1074#419—591no—
1075#418—591no—
1076#417—591no—
1077#417—591no—
1078C2×#103—591no—
1079C2×#102—591no—
1080C59#6197211yescharacteristic, complemented, Sylow
1081C2×#41—591no—
1082C2×#41—591no—
1083C2×#41—1181no—
1084C2×#41C22×D5911yescharacteristic
1085C2×#41C22×D5911yescharacteristic
1086C22×Q8—591no—
1087C22×Q8—591no—
1088C22×Q8C22×D5911yescharacteristic
1089C22×Q8C22×D5911yescharacteristic
1090C22×D4—591no—
1091C22×D4—591no—
1092C22×D4—1181no—
1093#137—42no—
1094#137—42no—
1095#137—2362no—
1096AGL(1,ℤ/8)—2362no—
1097C2×Q16—591no—
1098C2×Q16—591no—
1099C2×Q16—591no—
1100C2×Q16—591no—
1101C2×Q16—591no—
1102C2×Q16—2362no—
1103C2×Q16C22×D5911yescharacteristic
1104C2×Q16C22×D5911yescharacteristic
1105C2×Q16C22×D5911yescharacteristic
1106C2×Q16C22×D5911yescharacteristic
1107C2×SD16—591no—
1108C2×SD16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16—591no—
1113C2×SD16—591no—
1114C2×SD16—591no—
1115C2×SD16—2362no—
1116C2×SD16C22×D5911yescharacteristic
1117C2×SD16C22×D5911yescharacteristic
1118C2×SD16C22×D5911yescharacteristic
1119C2×SD16C22×D5911yescharacteristic
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8C22×D5911yescharacteristic
1123C2×M16—591no—
1124C2×M16—591no—
1125C2×M16C22×D5911yescharacteristic
1126C2×M16C22×D5911yescharacteristic
1127C22×C8—591no—
1128C22×C8—591no—
1129C4⋊Q8—591no—
1130C4⋊Q8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—1181no—
1133C4⋊Q8—1181no—
1134C4⋊Q8—1181no—
1135#127—591no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#126—1181no—
1144#126—1181no—
1145#126—1181no—
1146#126—1181no—
1147#125—591no—
1148#125—591no—
1149#125—591no—
1150#125—1181no—
1151#125—1181no—
1152#125—1181no—
1153#125—1181no—
1154#125—1181no—
1155#124—21no—
1156#124—21no—
1157#124—591no—
1158#124—591no—
1159#124—591no—
1160#124—591no—
1161#124—591no—
1162#124—591no—
1163#124—591no—
1164#124—1181no—
1165#124—1181no—
1166#124—1181no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#124C22×D5911yescharacteristic
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—591no—
1189C22⋊Q8—591no—
1190C22⋊Q8—591no—
1191C22⋊Q8—591no—
1192C22⋊Q8—591no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202C22⋊Q8—1181no—
1203C22⋊Q8C22×D5911yescharacteristic
1204C22⋊Q8C22×D5911yescharacteristic
1205#121—21no—
1206#121—21no—
1207#121—591no—
1208#121—591no—
1209#121—591no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#120—1181no—
1220#120—1181no—
1221#120—1181no—
1222#120—1181no—
1223C4×Q8—591no—
1224C4×Q8—591no—
1225C4×Q8—591no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—1181no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8C22×D5911yescharacteristic
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—1181no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—1181no—
1287C2×C4⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299C2×C42—1181no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107C22×D5911yescharacteristic
1304#106—591no—
1305#106—591no—
1306#106—591no—
1307#106—591no—
1308C4⋊C8—591no—
1309C4⋊C8—591no—
1310C4⋊C8—591no—
1311C4⋊C8—591no—
1312C4⋊C8—591no—
1313C4⋊C8—591no—
1314C4⋊C8—591no—
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8C22×D5911yescharacteristic
1318#103—591no—
1319#103—591no—
1320#103—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103C22×D5911yescharacteristic
1333#103C22×D5911yescharacteristic
1334#103C22×D5911yescharacteristic
1335#103C22×D5911yescharacteristic
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350C22⋊C8—591no—
1351C22⋊C8—591no—
1352C22⋊C8—591no—
1353C22⋊C8—591no—
1354C22⋊C8C22×D5911yescharacteristic
1355C22⋊C8C22×D5911yescharacteristic
1356#97—591no—
1357#97—591no—
1358#97—591no—
1359#97—591no—
1360C4×C8—591no—
1361C4×C8C22×D5911yescharacteristic
1362C24—1181no—
1363C24—1181no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—2361no—
1369#41—2361no—
1370#41—2362no—
1371#41—2364no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—22no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—41no—
1378C2×Q8—591no—
1379C2×Q8—591no—
1380C2×Q8—591no—
1381C2×Q8—1181no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8—1182no—
1385C2×Q8—2361no—
1386C2×Q8—2361no—
1387C2×Q8—2361no—
1388C2×Q8C23×D5911yescharacteristic
1389C2×Q8C23×D5911yescharacteristic
1390C2×Q8C23×D5911yescharacteristic
1391C2×Q8C23×D5911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—591no—
1397C2×D4—591no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2364no—
1413C2×D4D4×D5911yescharacteristic
1414C2×D4C23×D5911yescharacteristic
1415C2×D4C23×D5911yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—591no—
1421C22×C4—591no—
1422C22×C4—591no—
1423C22×C4—591no—
1424C22×C4—591no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—1181no—
1428C22×C4—1181no—
1429C22×C4—1181no—
1430C22×C4—1181no—
1431C22×C4—1181no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4C23×D5911yescharacteristic
1438C22×C4C23×D5911yescharacteristic
1439Q16—22no—
1440Q16—22no—
1441Q16—41no—
1442Q16—41no—
1443Q16—1182no—
1444Q16—2361no—
1445Q16—2361no—
1446Q16—2361no—
1447Q16—2361no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—1182no—
1453SD16—1182no—
1454SD16—2361no—
1455SD16—2361no—
1456SD16—2361no—
1457SD16—2361no—
1458SD16—2361no—
1459SD16—2361no—
1460D8—41no—
1461D8—2361no—
1462D8—2361no—
1463M16—41no—
1464M16—41no—
1465M16—2361no—
1466M16—2361no—
1467C2×C8—591no—
1468C2×C8—591no—
1469C2×C8—591no—
1470C2×C8—591no—
1471C2×C8—2361no—
1472C2×C8—2361no—
1473C2×C8C23×D5911yescharacteristic
1474C2×C8C23×D5911yescharacteristic
1475C2×C8C23×D5911yescharacteristic
1476C2×C8C23×D5911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—591no—
1482C4⋊C4—591no—
1483C4⋊C4—591no—
1484C4⋊C4—591no—
1485C4⋊C4—591no—
1486C4⋊C4—591no—
1487C4⋊C4—591no—
1488C4⋊C4—591no—
1489C4⋊C4—591no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4—1181no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4D4×D5911yescharacteristic
1518C4⋊C4C23×D5911yescharacteristic
1519C4⋊C4C23×D5911yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—591no—
1529C22⋊C4—591no—
1530C22⋊C4—591no—
1531C22⋊C4—591no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4D4×D5911yescharacteristic
1561C22⋊C4D4×D5911yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—591no—
1565C42—591no—
1566C42—591no—
1567C42—591no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—1181no—
1574C42—1181no—
1575C42—1181no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42—1181no—
1583C42C23×D5911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—591no—
1587C23—1181no—
1588C23—1181no—
1589C23—4721no—
1590C23—4721no—
1591C23—4721no—
1592C23—4721no—
1593C23—2362no—
1594C23—2362no—
1595C23C2×D4×D5911yescharacteristic
1596C23C2×D4×D5911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—42no—
1605Q8—81no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—1181no—
1609Q8—1181no—
1610Q8—4721no—
1611Q8—2361no—
1612Q8—2362no—
1613Q8—2362no—
1614Q8#1427377212yes—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—41no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—81no—
1624D4—1182no—
1625D4—1182no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—1181no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—4721no—
1634D4—4721no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—42no—
1649C2×C4—42no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—591no—
1653C2×C4—591no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—1182no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—4721no—
1669C2×C4—4721no—
1670C2×C4—4721no—
1671C2×C4—4721no—
1672C2×C4—2361no—
1673C2×C4—2362no—
1674C2×C4—2362no—
1675C2×C4—2362no—
1676C2×C4—2361no—
1677C2×C4—2361no—
1678C2×C4—2361no—
1679C2×C4—2361no—
1680C2×C4—2362no—
1681C2×C4—2362no—
1682C2×C4—2362no—
1683C2×C4C2×D4×D5911yescharacteristic
1684C2×C4C2×D4×D5911yescharacteristic
1685C2×C4C2×D4×D5911yescharacteristic
1686C2×C4C2×D4×D5911yescharacteristic
1687C2×C4C24×D5911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1181no—
1693C8—1181no—
1694C8—1181no—
1695C8—1181no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—592no—
1709C22—1181no—
1710C22—1181no—
1711C22—9442no—
1712C22—9442no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22—2361no—
1719C22C22×D4×D5911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—22no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—1181no—
1731C4—1181no—
1732C4—1181no—
1733C4—1181no—
1734C4—1181no—
1735C4—1181no—
1736C4—1181no—
1737C4—2361no—
1738C4—2361no—
1739C4—2361no—
1740C4—2361no—
1741C4—2361no—
1742C4—2361no—
1743C4C2×#1427377211yescharacteristic
1744C4#1683823711yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—1182no—
1750C2—4721no—
1751C2—4721no—
1752C2#2143775611yescharacteristic
1753C2#575×D5911yescharacteristic
1754C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3277C2
socleC22×C59C23×D4
hypercenter#3277D59
hypocenterC59#61972
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3277

Complements

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

NH ≅ G/Ntype
1. #21438050C2semidirect
2. #21437712C2semidirect
3. #21437175C2semidirect
4. #21437168C2semidirect
5. #21436934C2semidirect
6. #21436868C2semidirect
7. #21436364C2semidirect
8. #21436314C2semidirect
9. #21436140C2semidirect
10. #21436112C2semidirect
11. #21436082C2semidirect
12. #21436050C2semidirect
13. #21435728C2semidirect
14. #21435669C2semidirect
15. #21435660C2semidirect
16. #21435600C2semidirect
17. #21435594C2semidirect
18. #21435493C2semidirect
19. #21435462C2semidirect
20. #21435446C2semidirect
21. #21435131C2semidirect
22. #21435098C2semidirect
23. #21435056C2semidirect
24. #21434268C2semidirect
25. #21434198C2semidirect
26. #21434180C2semidirect
27. #21433592C2semidirect
28. #21433565C2semidirect
29. #464×D59C2semidirect
30. #21433211C2semidirect
31. C59×#3277C2semidirect
32. C2×#14273758C22semidirect
34. C2×Q16×D59C22semidirect
37. #16838128C22semidirect
40. #16838121C22semidirect
43. #16838092C22semidirect
49. Q8×C22⋊D59C22semidirect
53. #16838052C22semidirect
62. #16837954C22semidirect
68. #16837933C22semidirect
70. #16837931C22semidirect
74. #41×Dic59C22semidirect
77. C2×Q8×Dic59C22semidirect
78. C4×Q8×D59C22semidirect
80. #16837795C22semidirect
81. #16837793C22semidirect
84. #16837769C22semidirect
87. #16837763C22semidirect
89. #16837756C22semidirect
90. #16837744C22semidirect
91. #16837735C22semidirect
92. #16837731C22semidirect
96. #16837711C22semidirect
97. #16837709C22semidirect
98. #16837708C22semidirect
99. #16837707C22semidirect
100. #16837707C22semidirect
102. #16837703C22semidirect
103. #16837700C22semidirect
104. #16837696C22semidirect
105. #16837690C22semidirect
106. #16837660C22semidirect
107. #16837658C22semidirect
108. #16837658C22semidirect
112. #16837640C22semidirect
115. #16837628C22semidirect
117. #16837627C22semidirect
121. #16837626C22semidirect
122. #16837626C22semidirect
123. #16837626C22semidirect
126. #16837623C22semidirect
127. #16837622C22semidirect
128. #16837622C22semidirect
129. #16837622C22semidirect
130. #16837621C22semidirect
133. #16837619C22semidirect
134. #16837619C22semidirect
136. #16837615C22semidirect
137. #16837614C22semidirect
138. #16837611C22semidirect
139. #16837610C22semidirect
140. #16837610C22semidirect
141. #16837605C22semidirect
144. #16837566C22semidirect
145. #16837564C22semidirect
146. #16837564C22semidirect
147. #16837558C22semidirect
148. #16837556C22semidirect
149. #16837556C22semidirect
153. #16837545C22semidirect
156. #16837539C22semidirect
158. #16837532C22semidirect
159. #16837529C22semidirect
160. #16837514C22semidirect
161. #16837509C22semidirect
162. #16837509C22semidirect
163. #16837506C22semidirect
166. #16837503C22semidirect
167. #16837499C22semidirect
168. C4×#11745672C22semidirect
169. C4×#11745660C22semidirect
170. C4×#11745671C22semidirect
171. #16837480C22semidirect
173. #16837476C22semidirect
175. #16837471C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837453C22semidirect
179. #16837425C22semidirect
180. #16837425C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837411C22semidirect
184. #16837404C22semidirect
185. #16837403C22semidirect
186. #103×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C2×#137×C59C22semidirect
191. C59×#548C22semidirect
192. C59×#495C22semidirect
194. C59×#468C22semidirect
195. C59×#464C22semidirect
196. C59×#464C22semidirect
197. C59×#451C22semidirect
198. C59×#451C22semidirect
200. C59×#449C22semidirect
201. C4×Q16×C59C22semidirect
202. C59×#436C22semidirect
880. #3277D59semidirect
910. C2×#137C2×D59semidirect
911. C2×#137C2×D59semidirect
932. #548C2×D59semidirect
965. #495C2×D59semidirect
995. #468C2×D59semidirect
1015. #464C2×D59semidirect
1016. #464C2×D59semidirect
1036. #451C2×D59semidirect
1037. #451C2×D59semidirect
1043. #449C2×D59semidirect
1059. C4×Q16C2×D59semidirect
1063. #436C2×D59semidirect
1080. C59#61972semidirect

Maximal subgroups

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

subgroupindex
#214380502
#214377122
#214371752
#214371682
#214369342
#214368682
#214363642
#214363142
#214361402
#214361122
#214360822
#214360502
#214357282
#214356692
#214356602
#214356002
#214355942
#214354932
#214354622
#214354462
#214351312
#214350982
#214350562
#214342682
#214341982
#214341802
#214335922
#214335652
#464×D592
#214332112
C59×#32772
#6197259