Finite Group Databasebeta

← #35185482

Subgroups — #35185482

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778041C211yesmaximal, characteristic, complemented
2#23777338C211yesmaximal, characteristic, complemented
3#23776355C211yesmaximal, characteristic, complemented
4#23776272C211yesmaximal, characteristic, complemented
5#23776163C211yesmaximal, characteristic, complemented
6#23776065C211yesmaximal, characteristic, complemented
7#23775993C211yesmaximal, characteristic, complemented
8#23775959C211yesmaximal, characteristic, complemented
9#23775953C211yesmaximal, characteristic, complemented
10#23775929C211yesmaximal, characteristic, complemented
11#23775844C211yesmaximal, characteristic, complemented
12#23775800C211yesmaximal, characteristic, complemented
13#23775630C211yesmaximal, characteristic, complemented
14#23775619C211yesmaximal, characteristic, complemented
15#23775604C211yesmaximal, characteristic, complemented
16#23775554C211yesmaximal, characteristic, complemented
17#23775540C211yesmaximal, characteristic, complemented
18#23775238C211yesmaximal, characteristic, complemented
19#23774860C211yesmaximal, characteristic, complemented
20#23774805C211yesmaximal, characteristic, complemented
21#23774800C211yesmaximal, characteristic, complemented
22#23774697C211yesmaximal, characteristic, complemented
23#23774578C211yesmaximal, characteristic, complemented
24#23773679C211yesmaximal, characteristic, complemented
25#23773589C211yesmaximal, characteristic, complemented
26#23773452C211yesmaximal, characteristic, complemented
27#23773247C211yesmaximal, characteristic, complemented
28#23773230C211yesmaximal, characteristic, complemented
29#23773192C211yesmaximal, characteristic, complemented
30#23772543C211yesmaximal, characteristic, complemented
31C79×#3241C211yesmaximal, characteristic, complemented
32#19099317—21no—
33#19099309—21no—
34#19099299C2211yescharacteristic
35#19099290C2211yescharacteristic, complemented
36#19099287C2211yescharacteristic
37#19099284—21no—
38#19099276C2211yescharacteristic, complemented
39#19099274C2211yescharacteristic, complemented
40#19099269C2211yescharacteristic
41#19099266C2211yescharacteristic
42#19099265C2211yescharacteristic
43#19099261C2211yescharacteristic, complemented
44#19099260—21no—
45#19099252C2211yescharacteristic, complemented
46#19099251C2211yescharacteristic
47#19099248C2211yescharacteristic, complemented
48#19099245—21no—
49#19099241—21no—
50#19099236—21no—
51#19099213C2211yescharacteristic
52#19099210C2211yescharacteristic
53#19099210C2211yescharacteristic
54#19099202—21no—
55#19099198C2211yescharacteristic
56#19099193C2211yescharacteristic, complemented
57#19099187—21no—
58#19099187C2211yescharacteristic, complemented
59#19099186—21no—
60#19099184C2211yescharacteristic, complemented
61#19099178C2211yescharacteristic
62#19099174—21no—
63#19099159—21no—
64#19099156—21no—
65#19099145—21no—
66#19099118C2211yescharacteristic, complemented
67#19099098C2211yescharacteristic, complemented
68#19099095C2211yescharacteristic
69#19099091C2211yescharacteristic
70#19099073—21no—
71#123×D79—21no—
72#19099043C2211yescharacteristic
73#19099035C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098963C2211yescharacteristic, complemented
77#19098963C2211yescharacteristic, complemented
78#19098960C2211yescharacteristic, complemented
79#19098921C2211yescharacteristic, complemented
80#19098916C2211yescharacteristic, complemented
81#19098916C2211yescharacteristic, complemented
82#19098916C2211yescharacteristic, complemented
83#19098907C2211yescharacteristic, complemented
84#19098907C2211yescharacteristic, complemented
85#19098907C2211yescharacteristic, complemented
86#19098906C2211yescharacteristic, complemented
87#19098900C2211yescharacteristic, complemented
88#19098895C2211yescharacteristic, complemented
89#19098894C2211yescharacteristic, complemented
90#19098889C2211yescharacteristic, complemented
91#19098886C2211yescharacteristic
92#19098886C2211yescharacteristic
93#19098886C2211yescharacteristic
94#19098883C2211yescharacteristic, complemented
95#19098882C2211yescharacteristic, complemented
96#19098880C2211yescharacteristic
97#19098869C2211yescharacteristic, complemented
98#19098867C2211yescharacteristic, complemented
99#19098867C2211yescharacteristic, complemented
100#19098867C2211yescharacteristic, complemented
101#19098866C2211yescharacteristic
102#19098866C2211yescharacteristic
103#19098865C2211yescharacteristic, complemented
104#19098865C2211yescharacteristic, complemented
105#19098865C2211yescharacteristic, complemented
106#19098862C2211yescharacteristic
107#19098862C2211yescharacteristic, complemented
108#19098860C2211yescharacteristic
109#19098860C2211yescharacteristic
110#19098860C2211yescharacteristic, complemented
111#19098857C2211yescharacteristic, complemented
112#19098855C2211yescharacteristic, complemented
113#19098855C2211yescharacteristic, complemented
114#19098854C2211yescharacteristic
115#19098853C2211yescharacteristic, complemented
116#19098851C2211yescharacteristic, complemented
117#19098849C2211yescharacteristic, complemented
118#19098843C2211yescharacteristic, complemented
119#19098842C2211yescharacteristic
120#19098842C2211yescharacteristic, complemented
121#19098840C2211yescharacteristic
122#19098840C2211yescharacteristic
123#19098822C2211yescharacteristic, complemented
124#19098815C2211yescharacteristic
125#19098814C2211yescharacteristic, complemented
126#19098810C2211yescharacteristic, complemented
127#19098810C2211yescharacteristic, complemented
128#19098808C2211yescharacteristic
129#19098808C2211yescharacteristic
130#19098807C2211yescharacteristic, complemented
131#19098805C2211yescharacteristic, complemented
132#19098798C2211yescharacteristic
133#19098797C2211yescharacteristic, complemented
134#19098790C2211yescharacteristic, complemented
135#19098786C2211yescharacteristic, complemented
136#19098784C2211yescharacteristic, complemented
137#19098784C2211yescharacteristic, complemented
138#19098779C2211yescharacteristic
139#19098778C2211yescharacteristic, complemented
140#19098778C2211yescharacteristic, complemented
141#19098777C2211yescharacteristic, complemented
142#19098777C2211yescharacteristic, complemented
143#19098760C2211yescharacteristic
144#19098755C2211yescharacteristic
145#19098727C2211yescharacteristic
146#19098715C2211yescharacteristic
147#19098715C2211yescharacteristic
148#19098710C2211yescharacteristic
149#19098698C2211yescharacteristic
150#19098698C2211yescharacteristic
151#19098691C2211yescharacteristic, complemented
152C8×Dic158C2211yescharacteristic, complemented
153#19098676C2211yescharacteristic
154#19098674C2211yescharacteristic
155#19098671C2211yescharacteristic, complemented
156#19098660C2211yescharacteristic, complemented
157#19098654C2211yescharacteristic, complemented
158C4×#11929613C2211yescharacteristic
159C4×#11929613C2211yescharacteristic, complemented
160#19098650C2211yescharacteristic
161#19098650C2211yescharacteristic
162#19098645C2211yescharacteristic
163#19098643C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098642C2211yescharacteristic
166#19098638C2211yescharacteristic, complemented
167#19098638C2211yescharacteristic, complemented
168#19098636C2211yescharacteristic
169#19098631C2211yescharacteristic, complemented
170(C22⋊D79)⋊C8C2211yescharacteristic, complemented
171#19098623C2211yescharacteristic, complemented
172#19098615C2211yescharacteristic, complemented
173#19098606C2211yescharacteristic, complemented
174#19098604C2211yescharacteristic, complemented
175#19098604C2211yescharacteristic, complemented
176#19098604C2211yescharacteristic, complemented
177#19098598C2211yescharacteristic, complemented
178C2×#14579094C2211yescharacteristic, complemented
179#19098590C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098562C2211yescharacteristic
186#19098557C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#540×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#499×C79C2211yescharacteristic, complemented
192#490×C79C2211yescharacteristic
193#486×C79C2211yescharacteristic
194#482×C79C2211yescharacteristic, complemented
195#482×C79C2211yescharacteristic, complemented
196#481×C79C2211yescharacteristic, complemented
197#480×C79C2211yescharacteristic, complemented
198#478×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#476×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×D4×D79—21no—
206C2×D4×D79C2311yescharacteristic
207C2×D4×D79C2311yescharacteristic
208C22×C4×D79—21no—
209C2×Dic316C2311yescharacteristic
210C2×#11929613C2311yescharacteristic
211C2×#11929613C2311yescharacteristic
212C2×#11929612C2311yescharacteristic
213C2×#11929612C2311yescharacteristic
214C2×D632C2311yescharacteristic
215C2×#11929609C2311yescharacteristic
216C2×#11929609C2311yescharacteristic
217C2×#11929608C2311yescharacteristic
218C2×#11929607C2311yescharacteristic
219C2×#11929607C2311yescharacteristic
220C2×#11929607C2311yescharacteristic
221C22×C79⋊C8C2311yescharacteristic
222C2×C8×D79C2311yescharacteristic
223#14579161C2311yescharacteristic
224#14579160—21no—
225#14579160—21no—
226#14579160C2311yescharacteristic
227#14579160C2311yescharacteristic
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579156—21no—
232#14579156—21no—
233#14579156—21no—
234#14579156—21no—
235#14579156—21no—
236#14579156—21no—
237#14579156D411yescharacteristic
238#14579154—21no—
239#14579154—21no—
240#14579154—21no—
241#14579154—21no—
242#14579154D411yescharacteristic
243#14579153—21no—
244#14579152—21no—
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579151—21no—
250#14579151—21no—
251#14579151—21no—
252#14579151—21no—
253#14579151D411yescharacteristic
254#14579150—21no—
255#14579150—21no—
256#14579149—21no—
257#14579149C2311yescharacteristic
258#14579148—21no—
259#14579148C2311yescharacteristic
260#14579148C2311yescharacteristic
261#14579147—21no—
262#14579147—21no—
263#14579147—21no—
264#14579147D411yescharacteristic
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579146D411yescharacteristic
271#14579145—21no—
272#14579144—21no—
273#14579144—21no—
274#14579143—21no—
275#14579143—21no—
276#14579143—21no—
277#14579143—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143D411yescharacteristic
281#14579142—21no—
282#14579142—21no—
283#14579142—21no—
284#14579141—21no—
285#14579141—21no—
286#14579141—21no—
287#14579141—21no—
288#14579141C2311yescharacteristic
289#14579141C2311yescharacteristic
290#14579141C2311yescharacteristic
291#14579141C2311yescharacteristic
292#14579140—21no—
293#14579140C2311yescharacteristic
294#14579139—21no—
295#14579139—21no—
296#14579139—21no—
297#14579139—21no—
298#14579139D411yescharacteristic
299#14579138—21no—
300#14579137—21no—
301#14579137—21no—
302#14579137—21no—
303#14579137—21no—
304#14579136—21no—
305#14579136C2311yescharacteristic
306#14579136C2311yescharacteristic
307#14579135—21no—
308#14579135C2311yescharacteristic
309#14579134—21no—
310#14579134D411yescharacteristic
311#14579133—21no—
312#14579132—21no—
313#14579132—21no—
314#14579132—21no—
315#14579132C2311yescharacteristic
316#14579132C2311yescharacteristic
317#14579129—21no—
318#14579129—21no—
319#14579129—21no—
320#14579129—21no—
321Q8×Dic79—21no—
322Q8×Dic79—21no—
323C4×Dic158C2311yescharacteristic
324C4×Dic158C2311yescharacteristic
325C4×Dic158C2311yescharacteristic
326C4×Dic158C2311yescharacteristic
327#14579126—21no—
328#14579126—21no—
329#14579126C2311yescharacteristic
330#14579126C2311yescharacteristic
331C4×D316C2311yescharacteristic
332C4×D316C2311yescharacteristic
333C4×D316C2311yescharacteristic
334C4×D316C2311yescharacteristic
335D4×Dic79—21no—
336D4×Dic79—21no—
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339#14579123—21no—
340#14579123—21no—
341#14579123C2311yescharacteristic
342#14579123C2311yescharacteristic
343#14579123C2311yescharacteristic
344#14579123C2311yescharacteristic
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79—21no—
348C4×C22⋊D79—21no—
349C4×C22⋊D79C2311yescharacteristic
350C4×C22⋊D79C2311yescharacteristic
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4—21no—
353(C22⋊D79)⋊C4—21no—
354(C22⋊D79)⋊C4—21no—
355#14579120—21no—
356#14579120—21no—
357#14579119—21no—
358#14579119—21no—
359#14579119—21no—
360#14579119C2311yescharacteristic
361#14579119C2311yescharacteristic
362#14579119C2311yescharacteristic
363#14579119C2311yescharacteristic
364#14579118—21no—
365#14579118—21no—
366#14579118C2311yescharacteristic
367C2×C4⋊Dic79C2311yescharacteristic
368C4⋊C4×D79—21no—
369C4⋊C4×D79—21no—
370C4⋊C4×D79—21no—
371C4⋊C4×D79C2311yescharacteristic
372C4⋊C4×D79C2311yescharacteristic
373C2×(C2×D79)⋊C4—21no—
374C22⋊C4×D79—21no—
375C22⋊C4×D79—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C42×D79C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396C4⋊(C79⋊C8)C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431#14579071C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438#127×C79C2311yescharacteristic
439#125×C79—21no—
440#125×C79C2311yescharacteristic
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#123×C79—21no—
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×D4×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929624—22no—
481#11929624—41no—
482#11929623—82no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158C2×D411yescharacteristic
487C2×Dic158C2411yescharacteristic
488C2×Dic158C2411yescharacteristic
489C2×D316—21no—
490C2×D316—21no—
491C2×D316C2×D411yescharacteristic
492C2×D316C2411yescharacteristic
493C2×D316C2411yescharacteristic
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79C2×D411yescharacteristic
501C2×C22⋊D79C2×D411yescharacteristic
502D4×D79—22no—
503D4×D79—22no—
504D4×D79—41no—
505D4×D79—41no—
506D4×D79—82no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—21no—
518C2×C4×D79—21no—
519C2×C4×D79—21no—
520C2×C4×D79—82no—
521C2×C4×D79C2×D411yescharacteristic
522C2×C4×D79C2×D411yescharacteristic
523C2×C4×D79C2411yescharacteristic
524C2×C4×D79C2411yescharacteristic
525Dic316—41no—
526#11929613—22no—
527#11929613—41no—
528#11929612—41no—
529#11929612—41no—
530D632—22no—
531#11929609—41no—
532#11929609—41no—
533#11929608—41no—
534#11929607—41no—
535#11929607—41no—
536#11929607—41no—
537C2×C79⋊C8—41no—
538C2×C79⋊C8C2411yescharacteristic
539C2×C79⋊C8C2411yescharacteristic
540C2×C79⋊C8C2411yescharacteristic
541C2×C79⋊C8C2411yescharacteristic
542C8×D79—41no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79—21no—
546C4⋊Dic79—21no—
547C4⋊Dic79—21no—
548C4⋊Dic79—21no—
549C4⋊Dic79—21no—
550C4⋊Dic79—21no—
551C4⋊Dic79—21no—
552C4⋊Dic79—21no—
553C4⋊Dic79C2×D411yescharacteristic
554C4⋊Dic79C2×D411yescharacteristic
555C4⋊Dic79C2411yescharacteristic
556C4⋊Dic79C2411yescharacteristic
557C4⋊Dic79C2411yescharacteristic
558C4⋊Dic79C2411yescharacteristic
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577Dic79⋊C4C2×D411yescharacteristic
578Dic79⋊C4C2×D411yescharacteristic
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79C2×D411yescharacteristic
589C22⋊Dic79C2×D411yescharacteristic
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4—21no—
607(C2×D79)⋊C4—21no—
608(C2×D79)⋊C4—21no—
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4C2×D411yescharacteristic
611(C2×D79)⋊C4C2×D411yescharacteristic
612(C2×D79)⋊C4C2×D411yescharacteristic
613(C2×D79)⋊C4C2×D411yescharacteristic
614(C2×D79)⋊C4C2×D411yescharacteristic
615(C2×D79)⋊C4C2×D411yescharacteristic
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79—21no—
620C4×Dic79—21no—
621C4×Dic79—21no—
622C4×Dic79—21no—
623C4×Dic79—21no—
624C4×Dic79—21no—
625C4×Dic79C2×D411yescharacteristic
626C4×Dic79C2×D411yescharacteristic
627C4×Dic79C2411yescharacteristic
628C4×Dic79C2411yescharacteristic
629C2×Q8×C79—21no—
630C2×Q8×C79—21no—
631C2×D4×C79—21no—
632C2×D4×C79—21no—
633C2×D4×C79—21no—
634C2×D4×C79—21no—
635C2×D4×C79C2411yescharacteristic
636C2×D4×C79C2411yescharacteristic
637C22×C4×C79—21no—
638C22×C4×C79—21no—
639C22×C4×C79—21no—
640C22×C4×C79C2411yescharacteristic
641C2×C8×C79C2411yescharacteristic
642C2×C8×C79C2411yescharacteristic
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
645C4⋊C4×C79—21no—
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79C2×D411yescharacteristic
655C4⋊C4×C79C2×D411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C4⋊C4×C79C2411yescharacteristic
660C4⋊C4×C79C2411yescharacteristic
661C4⋊C4×C79C2411yescharacteristic
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79C2×D411yescharacteristic
668C22⋊C4×C79C2×D411yescharacteristic
669C42×C79—21no—
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79C22×D411yescharacteristic
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—42no—
678C22×D79—42no—
679C22×D79—42no—
680C22×D79—81no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—81no—
686Q8×C79—81no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—81no—
692D4×C79—81no—
693D4×C79—81no—
694D4×C79—81no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—81no—
704C2×C4×C79—81no—
705C2×C4×C79—81no—
706C2×C4×C79C22×D411yescharacteristic
707C2×C4×C79C22×D411yescharacteristic
708C2×C4×C79C22×D411yescharacteristic
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C2511yescharacteristic
712C22⋊D79—41no—
713C22⋊D79—41no—
714C22⋊D79—42no—
715C22⋊D79—42no—
716C22⋊D79—42no—
717C22⋊D79—42no—
718C22⋊D79—81no—
719C22⋊D79—81no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—81no—
727C2×Dic79—81no—
728C2×Dic79—81no—
729C2×Dic79C22×D411yescharacteristic
730C2×Dic79C22×D411yescharacteristic
731C2×Dic79C22×D411yescharacteristic
732C2×Dic79C22×D411yescharacteristic
733C2×Dic79C22×D411yescharacteristic
734C2×Dic79C22×D411yescharacteristic
735D316—21no—
736D316—21no—
737D316—21no—
738D316—41no—
739D316—81no—
740D316—81no—
741D3162−1+412yes—
742C4×D79—21no—
743C4×D79—21no—
744C4×D79—21no—
745C4×D79—21no—
746C4×D79—41no—
747C4×D79—41no—
748C4×D79—42no—
749C4×D79—42no—
750C4×D79—81no—
751C4×D79—81no—
752C4×D79—81no—
753C4×D79—81no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758Dic158—21no—
759Dic158—21no—
760Dic158—21no—
761Dic158—21no—
762Dic158—41no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79C23×D411yescharacteristic
784C2×D79—21no—
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
788C2×D79—22no—
789C2×D79—21no—
790C2×D79—21no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79C2×2−1+411yescharacteristic
810C4×C79#58511yescharacteristic
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—21no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—81no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—41no—
832D79—42no—
833D79—81no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241D7911yescharacteristic, complemented
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42—791no—
890#544—791no—
891#544C2×D7911yescharacteristic, complemented
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540C2×D7911yescharacteristic
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501C2×D7911yescharacteristic, complemented
913#499—791no—
914#499—791no—
915#499C2×D7911yescharacteristic, complemented
916#498—791no—
917#490C2×D7911yescharacteristic
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#486C2×D7911yescharacteristic
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482C2×D7911yescharacteristic, complemented
935#482C2×D7911yescharacteristic, complemented
936#481—791no—
937#481—791no—
938#481—791no—
939#481C2×D7911yescharacteristic, complemented
940#480C2×D7911yescharacteristic, complemented
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478C2×D7911yescharacteristic, complemented
956#478C2×D7911yescharacteristic, complemented
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476C2×D7911yescharacteristic, complemented
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474C2×D7911yescharacteristic, complemented
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460—791no—
992#459—791no—
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433C2×D7911yescharacteristic, complemented
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16—791no—
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16—791no—
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—21no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8C22×D7911yescharacteristic
1064C4⋊Q8C22×D7911yescharacteristic
1065#127C22×D7911yescharacteristic
1066#126—791no—
1067#126—791no—
1068#126—1581no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—21no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—1581no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125C22×D7911yescharacteristic
1094#125C22×D7911yescharacteristic
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—791no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124—1581no—
1107#123—21no—
1108#123—21no—
1109#123—791no—
1110#123—791no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
1134C22⋊Q8—791no—
1135C22⋊Q8—791no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8—1581no—
1149C22⋊Q8—1581no—
1150#121—21no—
1151#121—21no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—791no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—791no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×D4—791no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4—1581no—
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—1581no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117C22×D7911yescharacteristic
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107C22×D7911yescharacteristic
1243#107C22×D7911yescharacteristic
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106C22×D7911yescharacteristic
1255#106C22×D7911yescharacteristic
1256#106C22×D7911yescharacteristic
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#103—791no—
1277#103—791no—
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102—791no—
1292#102C22×D7911yescharacteristic
1293#102C22×D7911yescharacteristic
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97C22×D7911yescharacteristic
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8C22×D7911yescharacteristic
1312C24—1581no—
1313C24—1581no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—791no—
1320C2×Q8—791no—
1321C2×Q8—791no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8—1581no—
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—791no—
1335C2×D4—791no—
1336C2×D4—6322no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1582no—
1342C2×D4—1582no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—6322no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4—1581no—
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—3161no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—3161no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—791no—
1412C4⋊C4—791no—
1413C4⋊C4—791no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4D4×D7911yescharacteristic
1439C4⋊C4D4×D7911yescharacteristic
1440C4⋊C4C23×D7911yescharacteristic
1441C4⋊C4C23×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—791no—
1452C22⋊C4—791no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—1581no—
1460C22⋊C4—1581no—
1461C22⋊C4—1581no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4D4×D7911yescharacteristic
1489C22⋊C4D4×D7911yescharacteristic
1490C42—21no—
1491C42—791no—
1492C42—791no—
1493C42—791no—
1494C42—791no—
1495C42—1581no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—3162no—
1509C23—3162no—
1510C23—3162no—
1511C23—791no—
1512C23—791no—
1513C23—6321no—
1514C23—6321no—
1515C23—6321no—
1516C23—1581no—
1517C23—1581no—
1518C23C2×D4×D7911yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—3161no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—1581no—
1526Q8—1581no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—81no—
1536D4—81no—
1537D4—3161no—
1538D4—3162no—
1539D4—3162no—
1540D4—3161no—
1541D4—3161no—
1542D4—3162no—
1543D4—3162no—
1544D4—792no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
1549D4—1581no—
1550D4—1581no—
1551D4—1581no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—3162no—
1564C2×C4—3161no—
1565C2×C4—3161no—
1566C2×C4—3162no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—6321no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—1581no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4C2×D4×D7911yescharacteristic
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—6324no—
1623C22—1582no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C42−1+4×D7911yescharacteristic
1656C4#1909940011yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—3162no—
1661C2—3161no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707811yescharacteristic
1665C2#2377817211yescharacteristic
1666C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3241C2
socleC22×C79C23×D4
hypercenter#3241D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. #23778041C2semidirect
2. #23777338C2semidirect
3. #23776355C2semidirect
4. #23776272C2semidirect
5. #23776163C2semidirect
6. #23776065C2semidirect
7. #23775993C2semidirect
8. #23775959C2semidirect
9. #23775953C2semidirect
10. #23775929C2semidirect
11. #23775844C2semidirect
12. #23775800C2semidirect
13. #23775630C2semidirect
14. #23775619C2semidirect
15. #23775604C2semidirect
16. #23775554C2semidirect
17. #23775540C2semidirect
18. #23775238C2semidirect
19. #23774860C2semidirect
20. #23774805C2semidirect
21. #23774800C2semidirect
22. #23774697C2semidirect
23. #23774578C2semidirect
24. #23773679C2semidirect
25. #23773589C2semidirect
26. #23773452C2semidirect
27. #23773247C2semidirect
28. #23773230C2semidirect
29. #23773192C2semidirect
30. #23772543C2semidirect
31. C79×#3241C2semidirect
35. #19099290C22semidirect
38. #19099276C22semidirect
39. #19099274C22semidirect
43. #19099261C22semidirect
45. #19099252C22semidirect
47. #19099248C22semidirect
56. #19099193C22semidirect
58. #19099187C22semidirect
60. #19099184C22semidirect
66. #19099118C22semidirect
67. #19099098C22semidirect
75. #19098971C22semidirect
76. #19098963C22semidirect
77. #19098963C22semidirect
78. #19098960C22semidirect
79. #19098921C22semidirect
80. #19098916C22semidirect
81. #19098916C22semidirect
82. #19098916C22semidirect
83. #19098907C22semidirect
84. #19098907C22semidirect
85. #19098907C22semidirect
86. #19098906C22semidirect
87. #19098900C22semidirect
88. #19098895C22semidirect
89. #19098894C22semidirect
90. #19098889C22semidirect
94. #19098883C22semidirect
95. #19098882C22semidirect
97. #19098869C22semidirect
98. #19098867C22semidirect
99. #19098867C22semidirect
100. #19098867C22semidirect
103. #19098865C22semidirect
104. #19098865C22semidirect
105. #19098865C22semidirect
107. #19098862C22semidirect
110. #19098860C22semidirect
111. #19098857C22semidirect
112. #19098855C22semidirect
113. #19098855C22semidirect
115. #19098853C22semidirect
116. #19098851C22semidirect
117. #19098849C22semidirect
118. #19098843C22semidirect
120. #19098842C22semidirect
123. #19098822C22semidirect
125. #19098814C22semidirect
126. #19098810C22semidirect
127. #19098810C22semidirect
130. #19098807C22semidirect
131. #19098805C22semidirect
133. #19098797C22semidirect
134. #19098790C22semidirect
135. #19098786C22semidirect
136. #19098784C22semidirect
137. #19098784C22semidirect
139. #19098778C22semidirect
140. #19098778C22semidirect
141. #19098777C22semidirect
142. #19098777C22semidirect
151. #19098691C22semidirect
152. C8×Dic158C22semidirect
155. #19098671C22semidirect
156. #19098660C22semidirect
157. #19098654C22semidirect
159. C4×#11929613C22semidirect
163. #19098643C22semidirect
164. #19098643C22semidirect
166. #19098638C22semidirect
167. #19098638C22semidirect
169. #19098631C22semidirect
170. (C22⋊D79)⋊C8C22semidirect
171. #19098623C22semidirect
172. #19098615C22semidirect
173. #19098606C22semidirect
174. #19098604C22semidirect
175. #19098604C22semidirect
176. #19098604C22semidirect
177. #19098598C22semidirect
178. C2×#14579094C22semidirect
179. #19098590C22semidirect
180. #19098588C22semidirect
181. #19098585C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #499×C79C22semidirect
194. #482×C79C22semidirect
195. #482×C79C22semidirect
196. #481×C79C22semidirect
197. #480×C79C22semidirect
198. #478×C79C22semidirect
199. #478×C79C22semidirect
200. #476×C79C22semidirect
201. #474×C79C22semidirect
202. #433×C79C22semidirect
856. #3241D79semidirect
865. C79#62175semidirect
891. #544C2×D79semidirect
912. #501C2×D79semidirect
915. #499C2×D79semidirect
934. #482C2×D79semidirect
935. #482C2×D79semidirect
939. #481C2×D79semidirect
940. #480C2×D79semidirect
955. #478C2×D79semidirect
956. #478C2×D79semidirect
963. #476C2×D79semidirect
970. #474C2×D79semidirect
1020. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780412
#237773382
#237763552
#237762722
#237761632
#237760652
#237759932
#237759592
#237759532
#237759292
#237758442
#237758002
#237756302
#237756192
#237756042
#237755542
#237755402
#237752382
#237748602
#237748052
#237748002
#237746972
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