Finite Group Databasebeta

← #35170832

Subgroups — #35170832

Order 20224.

2010 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777428C211yesmaximal, characteristic, complemented
2#23777419C211yesmaximal, characteristic, complemented
3#23776371C211yesmaximal, characteristic, complemented
4#23776262C211yesmaximal, characteristic, complemented
5#23776108C211yesmaximal, characteristic, complemented
6#23776104C211yesmaximal, characteristic, complemented
7#23775817C211yesmaximal, characteristic, complemented
8#23775800C211yesmaximal, characteristic, complemented
9#23775796C211yesmaximal, characteristic, complemented
10#23775638C211yesmaximal, characteristic, complemented
11#23775637C211yesmaximal, characteristic, complemented
12#23775547C211yesmaximal, characteristic, complemented
13#23775543C211yesmaximal, characteristic, complemented
14#23775537C211yesmaximal, characteristic, complemented
15D4×#11929609C211yesmaximal, characteristic, complemented
16#23775070C211yesmaximal, characteristic, complemented
17#23775070C211yesmaximal, characteristic, complemented
18#23774049C211yesmaximal, characteristic, complemented
19#23774045C211yesmaximal, characteristic, complemented
20#23773974C211yesmaximal, characteristic, complemented
21#23773645C211yesmaximal, characteristic, complemented
22#23773641C211yesmaximal, characteristic, complemented
23#23773639C211yesmaximal, characteristic, complemented
24#23773637C211yesmaximal, characteristic, complemented
25#23773488C211yesmaximal, characteristic, complemented
26#23773486C211yesmaximal, characteristic, complemented
27#23772370C211yesmaximal, characteristic, complemented
28#23772249C211yesmaximal, characteristic, complemented
29#23772248C211yesmaximal, characteristic, complemented
30C2×#19098643C211yesmaximal, characteristic, complemented
31C79×#3318C211yesmaximal, characteristic, complemented
32C22×#11929609C2211yescharacteristic
33C22×#11929609C2211yescharacteristic
34C2×D8×D79C2211yescharacteristic
35#19099277C2211yescharacteristic, complemented
36#19099276C2211yescharacteristic, complemented
37#19099272C2211yescharacteristic, complemented
38#19099269C2211yescharacteristic, complemented
39#19099265C2211yescharacteristic, complemented
40#19099264—21no—
41#19099261C2211yescharacteristic, complemented
42#19099259C2211yescharacteristic, complemented
43#19099256—21no—
44#19099234C2211yescharacteristic, complemented
45#19099233C2211yescharacteristic, complemented
46#19099208—21no—
47#19099207—21no—
48#19099205—21no—
49#19099202—21no—
50#19099200—21no—
51#19099200—21no—
52D4×D316C2211yescharacteristic, complemented
53#19099197C2211yescharacteristic, complemented
54#19099197C2211yescharacteristic, complemented
55D4×C22⋊D79C2211yescharacteristic, complemented
56D4×C22⋊D79C2211yescharacteristic, complemented
57#19099169C2211yescharacteristic, complemented
58#19099167C2211yescharacteristic, complemented
59#19099166C2211yescharacteristic, complemented
60#19099166C2211yescharacteristic, complemented
61#19099152—21no—
62#19099150—21no—
63#19099149—21no—
64#19099148—21no—
65#19099108C2211yescharacteristic, complemented
66#19099108C2211yescharacteristic, complemented
67#19099093C2211yescharacteristic
68#19099072—21no—
69#19099069—21no—
70C2×#14579133—21no—
71#121×D79—21no—
72#19099038C2211yescharacteristic, complemented
73#19099037C2211yescharacteristic, complemented
74#19099035C2211yescharacteristic, complemented
75#19099035C2211yescharacteristic, complemented
76C2×D4×Dic79C2211yescharacteristic, complemented
77C2×#14579123C2211yescharacteristic, complemented
78#19098967C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098962C2211yescharacteristic, complemented
81#19098939C2211yescharacteristic, complemented
82#19098938C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic, complemented
84#19098928C2211yescharacteristic, complemented
85#19098926C2211yescharacteristic, complemented
86#19098926C2211yescharacteristic, complemented
87#19098908C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098890C2211yescharacteristic, complemented
90#19098889C2211yescharacteristic, complemented
91#19098888C2211yescharacteristic, complemented
92#19098887C2211yescharacteristic, complemented
93#19098886C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic, complemented
95#19098884C2211yescharacteristic, complemented
96#19098882C2211yescharacteristic, complemented
97#19098881C2211yescharacteristic, complemented
98#19098879C2211yescharacteristic, complemented
99#19098866C2211yescharacteristic, complemented
100#19098865C2211yescharacteristic, complemented
101#19098864C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098862C2211yescharacteristic, complemented
104#19098861C2211yescharacteristic, complemented
105#19098860C2211yescharacteristic, complemented
106#19098852C2211yescharacteristic, complemented
107#19098852C2211yescharacteristic, complemented
108#19098851C2211yescharacteristic, complemented
109#19098851C2211yescharacteristic, complemented
110#19098816C2211yescharacteristic, complemented
111#19098815C2211yescharacteristic, complemented
112#19098815C2211yescharacteristic, complemented
113#19098799C2211yescharacteristic, complemented
114#19098798C2211yescharacteristic, complemented
115#19098798C2211yescharacteristic, complemented
116#19098797C2211yescharacteristic, complemented
117#19098797C2211yescharacteristic, complemented
118#19098797C2211yescharacteristic, complemented
119#19098797C2211yescharacteristic, complemented
120#19098759C2211yescharacteristic, complemented
121#19098758C2211yescharacteristic, complemented
122#19098757C2211yescharacteristic, complemented
123#19098757C2211yescharacteristic, complemented
124#19098757C2211yescharacteristic, complemented
125#19098757C2211yescharacteristic, complemented
126#19098756C2211yescharacteristic, complemented
127#19098756C2211yescharacteristic, complemented
128#19098756C2211yescharacteristic, complemented
129#19098756C2211yescharacteristic, complemented
130#19098755C2211yescharacteristic, complemented
131#19098699C2211yescharacteristic, complemented
132#19098699C2211yescharacteristic, complemented
133#19098698C2211yescharacteristic, complemented
134#19098698C2211yescharacteristic, complemented
135#19098697C2211yescharacteristic, complemented
136#19098697C2211yescharacteristic, complemented
137#19098696C2211yescharacteristic, complemented
138#19098696C2211yescharacteristic, complemented
139#19098695C2211yescharacteristic, complemented
140#19098695C2211yescharacteristic, complemented
141#19098691C2211yescharacteristic, complemented
142#19098687C2211yescharacteristic, complemented
143#19098676C2211yescharacteristic, complemented
144#19098675C2211yescharacteristic, complemented
145#19098675C2211yescharacteristic, complemented
146#19098674C2211yescharacteristic, complemented
147#19098674C2211yescharacteristic, complemented
148#19098672C2211yescharacteristic, complemented
149#19098672C2211yescharacteristic, complemented
150#19098672C2211yescharacteristic, complemented
151#19098672C2211yescharacteristic, complemented
152#19098672C2211yescharacteristic, complemented
153#19098672C2211yescharacteristic, complemented
154D8×Dic79C2211yescharacteristic, complemented
155#19098645C2211yescharacteristic, complemented
156C4×#11929609C2211yescharacteristic
157C4×#11929609C2211yescharacteristic, complemented
158#19098643C2211yescharacteristic
159#19098643C2211yescharacteristic
160#19098643C2211yescharacteristic
161#19098643C2211yescharacteristic, complemented
162#19098643C2211yescharacteristic, complemented
163#19098643C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098643C2211yescharacteristic, complemented
166#19098643C2211yescharacteristic, complemented
167#19098643C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098643C2211yescharacteristic, complemented
170#19098639C2211yescharacteristic, complemented
171#19098634C2211yescharacteristic, complemented
172D4×C79⋊C8C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174(C22⋊D79)⋊C8C2211yescharacteristic, complemented
175#19098623C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098599C2211yescharacteristic, complemented
179#19098598C2211yescharacteristic, complemented
180C2×#14579094C2211yescharacteristic, complemented
181#19098569C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic, complemented
184C2×#14579083C2211yescharacteristic, complemented
185#19098521C2211yescharacteristic, complemented
186#19098520C2211yescharacteristic, complemented
187C2×C8×Dic79C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic, complemented
190#490×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#481×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929623—21no—
205C2×#11929623—21no—
206C2×#11929623—21no—
207C22×D316C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×C22⋊D79—21no—
210C22×C22⋊D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79—21no—
213C2×D4×D79—21no—
214C2×D4×D79C2311yescharacteristic
215C2×D4×D79C2311yescharacteristic
216C23×Dic79—21no—
217C22×C4×D79—21no—
218C2×D632C2311yescharacteristic
219C2×D632C2311yescharacteristic
220C2×D632C2311yescharacteristic
221C2×#11929609—24no—
222C2×#11929609—24no—
223C2×#11929609C2311yescharacteristic
224C2×#11929609C2311yescharacteristic
225C2×#11929609C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232C2×#11929609C2311yescharacteristic
233D8×D79—24no—
234C2×#11929607C2311yescharacteristic
235C22×C79⋊C8C2311yescharacteristic
236C22×C79⋊C8C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238#14579160C2311yescharacteristic
239#14579160C2311yescharacteristic
240#14579158C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579157C2311yescharacteristic
245#14579156—21no—
246#14579156—21no—
247#14579156D411yescharacteristic
248#14579154—21no—
249#14579154D411yescharacteristic
250#14579153C2311yescharacteristic
251#14579152C2311yescharacteristic
252#14579152C2311yescharacteristic
253#14579151D411yescharacteristic
254#14579149—21no—
255#14579148—21no—
256#14579147—21no—
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147D411yescharacteristic
261#14579146—21no—
262#14579146—21no—
263#14579146—21no—
264#14579145—21no—
265#14579145—21no—
266#14579145—21no—
267#14579145D411yescharacteristic
268#14579143—21no—
269#14579143—21no—
270#14579143—21no—
271#14579142—21no—
272#14579142—21no—
273#14579142D411yescharacteristic
274#14579141—21no—
275#14579140—21no—
276#14579139—21no—
277#14579139—21no—
278#14579138—21no—
279#14579138—21no—
280#14579138D411yescharacteristic
281#14579136—21no—
282#14579136—21no—
283#14579136—21no—
284#14579136C2311yescharacteristic
285#14579136C2311yescharacteristic
286#14579135—21no—
287#14579135—21no—
288#14579135C2311yescharacteristic
289#14579135C2311yescharacteristic
290#14579135C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579134—21no—
293#14579134—21no—
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579133—21no—
298#14579133—21no—
299#14579133—21no—
300#14579133—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133D411yescharacteristic
311#14579132—21no—
312#14579132—21no—
313#14579132—21no—
314#14579132C2311yescharacteristic
315#14579132C2311yescharacteristic
316#14579131—21no—
317#14579131—21no—
318#14579131—21no—
319#14579131—21no—
320#14579130—21no—
321#14579130—21no—
322#14579129—21no—
323#14579129—21no—
324#14579129—21no—
325#14579129—21no—
326C4×Dic158C2311yescharacteristic
327C4×D316—21no—
328C4×D316—21no—
329C4×D316C2311yescharacteristic
330C4×D316C2311yescharacteristic
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79—21no—
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341D4×Dic79C2311yescharacteristic
342D4×Dic79C2311yescharacteristic
343D4×Dic79C2311yescharacteristic
344#14579123—21no—
345#14579123—21no—
346#14579123C2311yescharacteristic
347#14579123C2311yescharacteristic
348#14579123C2311yescharacteristic
349#14579123C2311yescharacteristic
350#14579123C2311yescharacteristic
351#14579123C2311yescharacteristic
352#14579123C2311yescharacteristic
353#14579123C2311yescharacteristic
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79C2311yescharacteristic
358C4×C22⋊D79C2311yescharacteristic
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363(C22⋊D79)⋊C4—21no—
364#14579120C2311yescharacteristic
365#14579120C2311yescharacteristic
366#14579119C2311yescharacteristic
367#14579119C2311yescharacteristic
368#14579118—21no—
369#14579118C2311yescharacteristic
370#14579117—21no—
371C2×C4⋊Dic79C2311yescharacteristic
372C2×Dic79⋊C4—21no—
373C4⋊C4×D79—21no—
374C2×C22⋊Dic79—21no—
375C2×C22⋊Dic79—21no—
376C2×C22⋊Dic79—21no—
377C2×(C2×D79)⋊C4—21no—
378C2×(C2×D79)⋊C4—21no—
379C2×(C2×D79)⋊C4—21no—
380C22⋊C4×D79—21no—
381C22⋊C4×D79—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C2×C4×Dic79C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579093C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579083C2311yescharacteristic
404#14579083C2311yescharacteristic
405#14579083C2311yescharacteristic
406#14579083C2311yescharacteristic
407#14579083C2311yescharacteristic
408#14579083C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579082C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425C22⋊(C79⋊C8)C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579071C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C22×D4×C79—21no—
439C22×D4×C79C2311yescharacteristic
440C22×D4×C79C2311yescharacteristic
441C2×D8×C79C2311yescharacteristic
442C2×D8×C79C2311yescharacteristic
443C2×D8×C79C2311yescharacteristic
444C2×M16×C79C2311yescharacteristic
445C22×C8×C79C2311yescharacteristic
446#127×C79C2311yescharacteristic
447#126×C79—21no—
448#125×C79C2311yescharacteristic
449#123×C79—21no—
450#121×C79—21no—
451#121×C79—21no—
452#121×C79C2311yescharacteristic
453#121×C79C2311yescharacteristic
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#120×C79—21no—
457#120×C79—21no—
458C4×D4×C79—21no—
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462#117×C79C2311yescharacteristic
463C2×C4⋊C4×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#106×C79C2311yescharacteristic
466#106×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480#97×C79C2311yescharacteristic
481C23×D79—21no—
482C23×D79—21no—
483C23×D79—21no—
484C23×D79—21no—
485#11929624—82no—
486#11929623—82no—
487#11929623—82no—
488#11929623—82no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158C2×D411yescharacteristic
492C2×D316—21no—
493C2×D316—21no—
494C2×D316—22no—
495C2×D316—22no—
496C2×D316—21no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—21no—
500C2×D316—41no—
501C2×D316—41no—
502C2×D316C2411yescharacteristic
503C2×D316C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×D316C2411yescharacteristic
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—82no—
523C2×C22⋊D79—82no—
524C2×C22⋊D79C2×D411yescharacteristic
525C2×C22⋊D79C2×D411yescharacteristic
526D4×D79—22no—
527D4×D79—22no—
528D4×D79—41no—
529D4×D79—41no—
530D4×D79—82no—
531D4×D79—82no—
532D4×D79—82no—
533C22×Dic79—21no—
534C22×Dic79—21no—
535C22×Dic79—21no—
536C22×Dic79—21no—
537C22×Dic79—21no—
538C22×Dic79—21no—
539C22×Dic79—21no—
540C22×Dic79—21no—
541C22×Dic79—21no—
542C22×Dic79—82no—
543C22×Dic79C2×D411yescharacteristic
544C22×Dic79C2×D411yescharacteristic
545C2×C4×D79—21no—
546C2×C4×D79—21no—
547C2×C4×D79—21no—
548C2×C4×D79—21no—
549C2×C4×D79—21no—
550C2×C4×D79—21no—
551C2×C4×D79—21no—
552C2×C4×D79—21no—
553C2×C4×D79—21no—
554C2×C4×D79—21no—
555C2×C4×D79—82no—
556C2×C4×D79C2411yescharacteristic
557D632—22no—
558D632—41no—
559D632—41no—
560#11929609—22no—
561#11929609—22no—
562#11929609—22no—
563#11929609—22no—
564#11929609—22no—
565#11929609—22no—
566#11929609—22no—
567#11929609—41no—
568#11929609—41no—
569#11929609#4114yescomplemented
570#11929607—41no—
571C2×C79⋊C8—22no—
572C2×C79⋊C8—22no—
573C2×C79⋊C8C2411yescharacteristic
574C2×C79⋊C8C2411yescharacteristic
575C2×C79⋊C8C2411yescharacteristic
576C2×C79⋊C8C2411yescharacteristic
577C8×D79—22no—
578C4⋊Dic79—21no—
579C4⋊Dic79—21no—
580C4⋊Dic79—21no—
581C4⋊Dic79C2×D411yescharacteristic
582C4⋊Dic79C2×D411yescharacteristic
583C4⋊Dic79C2×D411yescharacteristic
584C4⋊Dic79C2411yescharacteristic
585C4⋊Dic79C2411yescharacteristic
586C4⋊Dic79C2411yescharacteristic
587C4⋊Dic79C2411yescharacteristic
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599Dic79⋊C4C2×D411yescharacteristic
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
614C22⋊Dic79C2×D411yescharacteristic
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4C2×D411yescharacteristic
634(C2×D79)⋊C4C2×D411yescharacteristic
635(C2×D79)⋊C4C2×D411yescharacteristic
636(C2×D79)⋊C4C2×D411yescharacteristic
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2×D411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C4×Dic79C2411yescharacteristic
645C24×C79—21no—
646C24×C79—21no—
647C2×D4×C79—22no—
648C2×D4×C79—22no—
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—41no—
658C2×D4×C79—41no—
659C2×D4×C79—82no—
660C2×D4×C79C2×D411yescharacteristic
661C2×D4×C79C2411yescharacteristic
662C2×D4×C79C2411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79C2411yescharacteristic
669C22×C4×C79C2411yescharacteristic
670D8×C79—22no—
671D8×C79—41no—
672D8×C79—41no—
673M16×C79—41no—
674C2×C8×C79—41no—
675C2×C8×C79C2411yescharacteristic
676C2×C8×C79C2411yescharacteristic
677C2×C8×C79C2411yescharacteristic
678C2×C8×C79C2411yescharacteristic
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79—21no—
682C4⋊C4×C79C2×D411yescharacteristic
683C4⋊C4×C79C2411yescharacteristic
684C4⋊C4×C79C2411yescharacteristic
685C4⋊C4×C79C2411yescharacteristic
686C4⋊C4×C79C2411yescharacteristic
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79—21no—
691C22⋊C4×C79—21no—
692C22⋊C4×C79—21no—
693C22⋊C4×C79—21no—
694C22⋊C4×C79C2×D411yescharacteristic
695C22⋊C4×C79C2×D411yescharacteristic
696C42×C79—21no—
697C42×C79C2411yescharacteristic
698C23×C79—21no—
699C23×C79—21no—
700C23×C79—21no—
701C23×C79—21no—
702C23×C79—42no—
703C23×C79—42no—
704C23×C79—42no—
705C23×C79—81no—
706C23×C79—81no—
707C23×C79—81no—
708C23×C79C22×D411yescharacteristic
709C23×C79C22×D411yescharacteristic
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—21no—
713C22×D79—21no—
714C22×D79—42no—
715C22×D79—42no—
716C22×D79—42no—
717C22×D79—42no—
718C22×D79—42no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79—81no—
722C22×D79—81no—
723C22×D79—81no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79C22×D411yescharacteristic
727D4×C79—22no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—42no—
736D4×C79—42no—
737D4×C79—42no—
738D4×C79—42no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
743D4×C79C2×#4112yes—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79—81no—
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C22⋊D79—22no—
761C22⋊D79—22no—
762C22⋊D79—42no—
763C22⋊D79—42no—
764C22⋊D79—42no—
765C22⋊D79—42no—
766C22⋊D79—42no—
767C22⋊D79—42no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C22⋊D79—81no—
772C22⋊D79—81no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C2×Dic79—22no—
779C2×Dic79—22no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—42no—
785C2×Dic79—42no—
786C2×Dic79—81no—
787C2×Dic79—81no—
788C2×Dic79—81no—
789C2×Dic79—81no—
790C2×Dic79—81no—
791C2×Dic79—81no—
792C2×Dic79—81no—
793C2×Dic79C22×D411yescharacteristic
794C2×Dic79C22×D411yescharacteristic
795C2×Dic79C22×D411yescharacteristic
796C2×Dic79C22×D411yescharacteristic
797C2×Dic79C22×D411yescharacteristic
798C2×Dic79C22×D411yescharacteristic
799C2×Dic79C22×D411yescharacteristic
800D316—21no—
801D316—21no—
802D316—21no—
803D316—21no—
804D316—21no—
805D316—21no—
806D316—21no—
807D316—42no—
808D316—42no—
809D316—81no—
810D316—81no—
811D316—81no—
812D316—81no—
813D316C2×#4112yes—
814C4×D79—21no—
815C4×D79—21no—
816C4×D79—42no—
817C4×D79—42no—
818C4×D79—81no—
819C4×D79—81no—
820C4×D79—81no—
821C4×D79—81no—
822C4×D79—81no—
823C4×D79—81no—
824C4×D79—81no—
825C4×D79—81no—
826Dic158—22no—
827Dic158—81no—
828Dic158—81no—
829C8×C79—21no—
830C8×C79—21no—
831C8×C79—21no—
832C8×C79—21no—
833C79⋊C8—21no—
834C79⋊C8—21no—
835C79⋊C8—21no—
836C79⋊C8C2×#4112yes—
837C22×C79—21no—
838C22×C79—21no—
839C22×C79—22no—
840C22×C79—21no—
841C22×C79—21no—
842C22×C79—21no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—41no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—84no—
855C22×C79—162no—
856C22×C79#57612yes—
857C22×C79C23×D411yescharacteristic
858C2×D79—22no—
859C2×D79—21no—
860C2×D79—21no—
861C2×D79—21no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—41no—
865C2×D79—41no—
866C2×D79—41no—
867C2×D79—41no—
868C2×D79—41no—
869C2×D79—41no—
870C2×D79—41no—
871C2×D79—41no—
872C2×D79—41no—
873C2×D79—84no—
874C2×D79—162no—
875C2×D79—162no—
876C2×D79—162no—
877C4×C79—21no—
878C4×C79—21no—
879C4×C79—21no—
880C4×C79—21no—
881C4×C79—41no—
882C4×C79—41no—
883C4×C79—41no—
884C4×C79—41no—
885C4×C79C22×#4111yescharacteristic
886C4×C79#58511yescharacteristic
887Dic79—21no—
888Dic79—21no—
889Dic79—21no—
890Dic79—21no—
891Dic79—21no—
892Dic79—21no—
893Dic79—41no—
894Dic79—41no—
895Dic79—41no—
896Dic79—41no—
897Dic79#57612yes—
898#61480—791nomaximal, Sylow
899C2×C79—22no—
900C2×C79—41no—
901C2×C79—42no—
902C2×C79—81no—
903C2×C79—81no—
904C2×C79—81no—
905C2×C79D4×#4111yescharacteristic
906C2×C79C2×#57611yescharacteristic
907C2×C79C2×#57611yescharacteristic
908D79—41no—
909D79—42no—
910D79—81no—
911D79—81no—
912D79—81no—
913#3519—791no—
914#3519—791no—
915#3391—791no—
916#3380—791no—
917#3366—791no—
918#3366—791no—
919#3341—791no—
920#3339—791no—
921#3339—791no—
922#3325—791no—
923#3325—791no—
924#3318—791no—
925#3318—791no—
926#3318—791no—
927#3318D7911yescharacteristic, complemented
928D4×D8—791no—
929D4×D8—791no—
930D4×D8—791no—
931#3176—791no—
932#3176—791no—
933#3169—791no—
934#3122—791no—
935#3122—791no—
936#3122—791no—
937#3122—791no—
938#3109—791no—
939#3109—791no—
940#2966—791no—
941#2948—791no—
942#2948—791no—
943C2×C4×D8—791no—
944C79#6148011yescharacteristic, complemented, Sylow
945C22×D8—791no—
946C22×D8—791no—
947C22×D8—791no—
948#555—791no—
949#555—791no—
950#554—791no—
951#554—791no—
952#553—791no—
953#553—791no—
954#553—791no—
955#553—1581no—
956#553—1581no—
957#553C2×D7911yescharacteristic, complemented
958#550—791no—
959#550—791no—
960#546—1581no—
961#546—1581no—
962#546—1581no—
963#546—1581no—
964#546—1581no—
965#546—1581no—
966D42—791no—
967D42—791no—
968D42—791no—
969D42—791no—
970D42—791no—
971D42C2×D7911yescharacteristic, complemented
972#540—791no—
973#540—791no—
974#540—791no—
975#540—791no—
976#538—1581no—
977#538—1581no—
978#538—1581no—
979#538—1581no—
980#532—791no—
981#532—791no—
982#529—791no—
983#525—1581no—
984#525—1581no—
985C2×#121—1581no—
986C2×#121—1581no—
987#518—791no—
988#518—791no—
989#518—791no—
990#518—791no—
991C2×C4×D4—791no—
992C2×C4×D4—791no—
993#500—791no—
994#499—791no—
995#499—791no—
996#493—791no—
997#493—791no—
998#493—791no—
999#490—791no—
1000#490—791no—
1001#490—791no—
1002#490C2×D7911yescharacteristic, complemented
1003#486—791no—
1004#486—791no—
1005#482—791no—
1006#482—791no—
1007#482—791no—
1008#482—791no—
1009#482—791no—
1010#482—791no—
1011#482—791no—
1012#482C2×D7911yescharacteristic, complemented
1013#481—791no—
1014#481—791no—
1015#481—791no—
1016#481C2×D7911yescharacteristic, complemented
1017#478—791no—
1018#478—791no—
1019#478—791no—
1020#478—791no—
1021#478—791no—
1022#478—791no—
1023#478—791no—
1024#478C2×D7911yescharacteristic, complemented
1025#476—791no—
1026#476—791no—
1027#476—791no—
1028#476—791no—
1029#469—791no—
1030#469—791no—
1031#469—791no—
1032#469C2×D7911yescharacteristic, complemented
1033#466—791no—
1034#466—791no—
1035#466—791no—
1036#466—791no—
1037#466—791no—
1038#466—791no—
1039#466—791no—
1040#466C2×D7911yescharacteristic, complemented
1041#459—791no—
1042#459—791no—
1043#459—791no—
1044#459—791no—
1045#459—791no—
1046#459—791no—
1047#459—791no—
1048#459—791no—
1049#459—791no—
1050#459—791no—
1051#459—791no—
1052#459C2×D7911yescharacteristic, complemented
1053#447—791no—
1054#447—791no—
1055#447—791no—
1056#447—791no—
1057#447—791no—
1058#447—791no—
1059#447—791no—
1060#447—791no—
1061#447—791no—
1062#447—791no—
1063#447C2×D7911yescharacteristic, complemented
1064#447C2×D7911yescharacteristic, complemented
1065#446—791no—
1066C8×Q8—791no—
1067#442—791no—
1068#442—791no—
1069#442—791no—
1070#442—791no—
1071#442—791no—
1072#442—791no—
1073#442—791no—
1074#442—791no—
1075#442—791no—
1076#442—791no—
1077#442—791no—
1078#442C2×D7911yescharacteristic, complemented
1079C4×D8—791no—
1080C4×D8—791no—
1081C4×D8—791no—
1082C4×D8—791no—
1083C4×D8—791no—
1084C4×D8—791no—
1085C4×D8—791no—
1086C4×D8—791no—
1087C4×D8—791no—
1088C4×D8—791no—
1089C4×D8—791no—
1090C4×D8—791no—
1091C4×D8—791no—
1092C4×D8—791no—
1093C4×D8—791no—
1094C4×D8—791no—
1095#436—791no—
1096#435—791no—
1097#435C2×D7911yescharacteristic, complemented
1098C8×D4—791no—
1099C8×D4—791no—
1100C8×D4—791no—
1101#433—791no—
1102#433—791no—
1103#432—791no—
1104#427—791no—
1105#427—791no—
1106C2×#107—791no—
1107#418—791no—
1108#418—791no—
1109#418—791no—
1110#418C2×D7911yescharacteristic, complemented
1111C2×#102—791no—
1112C2×#102C2×D7911yescharacteristic, complemented
1113#405—791no—
1114#405—791no—
1115C2×C4×C8—791no—
1116C2×#41—1581no—
1117C2×#41—1581no—
1118C2×#41—1581no—
1119C2×#41—1581no—
1120C22×D4—21no—
1121C22×D4—791no—
1122C22×D4—791no—
1123C22×D4—791no—
1124C22×D4—791no—
1125C22×D4—1581no—
1126C22×D4—1581no—
1127C22×D4—1581no—
1128C22×D4—1581no—
1129C22×D4—1581no—
1130C22×D4C22×D7911yescharacteristic
1131C22×D4C22×D7911yescharacteristic
1132C23×C4—1581no—
1133C23×C4—1581no—
1134C2×D8—791no—
1135C2×D8—791no—
1136C2×D8—791no—
1137C2×D8—791no—
1138C2×D8—791no—
1139C2×D8—791no—
1140C2×D8—791no—
1141C2×D8—791no—
1142C2×D8—791no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8—1584no—
1148C2×D8—1584no—
1149C2×D8—1584no—
1150C2×D8C22×D7911yescharacteristic
1151C2×D8C22×D7911yescharacteristic
1152C2×D8C22×D7911yescharacteristic
1153C2×M16—791no—
1154C2×M16C22×D7911yescharacteristic
1155C22×C8—791no—
1156C22×C8—791no—
1157C22×C8—791no—
1158C22×C8C22×D7911yescharacteristic
1159C4⋊Q8—791no—
1160C4⋊Q8—791no—
1161#127—791no—
1162#127—791no—
1163#127—791no—
1164#127—791no—
1165#127—791no—
1166#127C22×D7911yescharacteristic
1167#126—21no—
1168#126—791no—
1169#126—791no—
1170#126—1581no—
1171#126—1581no—
1172#126—1581no—
1173#125—791no—
1174#125—791no—
1175#125—791no—
1176#125—791no—
1177#125C22×D7911yescharacteristic
1178#124—791no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#123—21no—
1186#123—791no—
1187#123—791no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199C22⋊Q8—791no—
1200C22⋊Q8—1581no—
1201C22⋊Q8—1581no—
1202C22⋊Q8—1581no—
1203C22⋊Q8—1581no—
1204C22⋊Q8—1581no—
1205C22⋊Q8—1581no—
1206#121—21no—
1207#121—21no—
1208#121—791no—
1209#121—791no—
1210#121—791no—
1211#121—791no—
1212#121—791no—
1213#121—791no—
1214#121—791no—
1215#121—791no—
1216#121—791no—
1217#121—1581no—
1218#121—1581no—
1219#121—1581no—
1220#121—1581no—
1221#121—1581no—
1222#121—1581no—
1223#121—1581no—
1224#121—1581no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121—1581no—
1239#121—1581no—
1240#121—1581no—
1241#121—1581no—
1242#121—1581no—
1243#121C22×D7911yescharacteristic
1244#121C22×D7911yescharacteristic
1245#121C22×D7911yescharacteristic
1246#121C22×D7911yescharacteristic
1247#120—21no—
1248#120—21no—
1249#120—1581no—
1250#120—1581no—
1251#120—1581no—
1252#120—1581no—
1253#120—1581no—
1254#120—1581no—
1255#120—1581no—
1256#120—1581no—
1257#120—1581no—
1258#120—1581no—
1259C4×Q8—791no—
1260C4×D4—21no—
1261C4×D4—791no—
1262C4×D4—791no—
1263C4×D4—791no—
1264C4×D4—791no—
1265C4×D4—791no—
1266C4×D4—791no—
1267C4×D4—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—791no—
1274C4×D4—791no—
1275C4×D4—791no—
1276C4×D4—791no—
1277C4×D4—791no—
1278C4×D4—791no—
1279C4×D4—791no—
1280C4×D4—791no—
1281C4×D4—1581no—
1282C4×D4—1581no—
1283C4×D4—1581no—
1284C4×D4—1581no—
1285C4×D4—1581no—
1286C4×D4—1581no—
1287C4×D4—1581no—
1288C4×D4—1581no—
1289C4×D4—1581no—
1290C4×D4—1581no—
1291C4×D4—1581no—
1292C4×D4—1581no—
1293C4×D4—1581no—
1294C4×D4—1581no—
1295C4×D4—1581no—
1296C4×D4—1581no—
1297C4×D4—1581no—
1298C4×D4C22×D7911yescharacteristic
1299C4×D4C22×D7911yescharacteristic
1300C4×D4C22×D7911yescharacteristic
1301#117—791no—
1302#117—791no—
1303#117—791no—
1304#117—791no—
1305#117—791no—
1306#117—1581no—
1307#117—1581no—
1308#117C22×D7911yescharacteristic
1309C2×C4⋊C4—791no—
1310C2×C4⋊C4—1581no—
1311C2×C4⋊C4—1581no—
1312C2×C4⋊C4C22×D7911yescharacteristic
1313C2×C22⋊C4—1581no—
1314C2×C22⋊C4—1581no—
1315C2×C22⋊C4—1581no—
1316C2×C22⋊C4—1581no—
1317C2×C22⋊C4—1581no—
1318C2×C22⋊C4—1581no—
1319C2×C22⋊C4—1581no—
1320C2×C22⋊C4—1581no—
1321C2×C22⋊C4—1581no—
1322C2×C22⋊C4—1581no—
1323C2×C42—791no—
1324#107—791no—
1325#107—791no—
1326#107—791no—
1327#107—791no—
1328#107—791no—
1329#107—791no—
1330#107—791no—
1331#107C22×D7911yescharacteristic
1332#106—791no—
1333#106—791no—
1334#106—791no—
1335#106—791no—
1336#106—791no—
1337#106—791no—
1338#106C22×D7911yescharacteristic
1339#106C22×D7911yescharacteristic
1340C4⋊C8—791no—
1341C4⋊C8—791no—
1342C4⋊C8—791no—
1343C4⋊C8—791no—
1344C4⋊C8—791no—
1345C4⋊C8C22×D7911yescharacteristic
1346#102—791no—
1347#102—791no—
1348#102—791no—
1349#102—791no—
1350#102—791no—
1351#102—791no—
1352#102—791no—
1353#102—791no—
1354#102—791no—
1355#102—791no—
1356#102—791no—
1357#102—791no—
1358#102—791no—
1359#102—791no—
1360#102—791no—
1361#102—791no—
1362#102—791no—
1363#102—791no—
1364#102—791no—
1365#102—791no—
1366#102—791no—
1367#102—791no—
1368#102C22×D7911yescharacteristic
1369#102C22×D7911yescharacteristic
1370#102C22×D7911yescharacteristic
1371#102C22×D7911yescharacteristic
1372#102C22×D7911yescharacteristic
1373#102C22×D7911yescharacteristic
1374#102C22×D7911yescharacteristic
1375#102C22×D7911yescharacteristic
1376#102C22×D7911yescharacteristic
1377#102C22×D7911yescharacteristic
1378C22⋊C8—791no—
1379C22⋊C8—791no—
1380C22⋊C8—791no—
1381C22⋊C8—791no—
1382C22⋊C8C22×D7911yescharacteristic
1383C22⋊C8C22×D7911yescharacteristic
1384#97—791no—
1385#97—791no—
1386#97—791no—
1387#97C22×D7911yescharacteristic
1388C4×C8—791no—
1389C4×C8—791no—
1390C4×C8—791no—
1391C4×C8—791no—
1392C4×C8—791no—
1393C4×C8—791no—
1394C24—21no—
1395C24—21no—
1396C24—1581no—
1397C24—1581no—
1398C24—1581no—
1399C24—1581no—
1400#41—6322no—
1401#41—6322no—
1402#41—6322no—
1403#41—6322no—
1404C2×Q8—791no—
1405C2×Q8—1581no—
1406C2×Q8—1581no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—82no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—3161no—
1424C2×D4—791no—
1425C2×D4—791no—
1426C2×D4—791no—
1427C2×D4—791no—
1428C2×D4—791no—
1429C2×D4—791no—
1430C2×D4—6322no—
1431C2×D4—6322no—
1432C2×D4—6322no—
1433C2×D4—6322no—
1434C2×D4—6322no—
1435C2×D4—1582no—
1436C2×D4—1582no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1581no—
1440C2×D4—1581no—
1441C2×D4—1581no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4—1581no—
1445C2×D4—1581no—
1446C2×D4—1581no—
1447C2×D4—1581no—
1448C2×D4—1581no—
1449C2×D4—1582no—
1450C2×D4—1581no—
1451C2×D4—1581no—
1452C2×D4—1582no—
1453C2×D4—1581no—
1454C2×D4—1581no—
1455C2×D4—1581no—
1456C2×D4—1581no—
1457C2×D4—1581no—
1458C2×D4—1581no—
1459C2×D4—1581no—
1460C2×D4—1581no—
1461C2×D4D4×D7911yescharacteristic
1462C2×D4C23×D7911yescharacteristic
1463C2×D4C23×D7911yescharacteristic
1464C2×D4C23×D7911yescharacteristic
1465C2×D4C23×D7911yescharacteristic
1466C22×C4—21no—
1467C22×C4—21no—
1468C22×C4—21no—
1469C22×C4—791no—
1470C22×C4—791no—
1471C22×C4—791no—
1472C22×C4—6322no—
1473C22×C4—6322no—
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×C4—1581no—
1489C22×C4—1581no—
1490C22×C4—1581no—
1491C22×C4—1581no—
1492C22×C4—1581no—
1493C22×C4C23×D7911yescharacteristic
1494C22×C4C23×D7911yescharacteristic
1495D8—22no—
1496D8—41no—
1497D8—41no—
1498D8—3161no—
1499D8—3161no—
1500D8—3161no—
1501D8—3161no—
1502D8—794no—
1503D8—1582no—
1504D8—1582no—
1505D8—1582no—
1506D8—1582no—
1507D8—1582no—
1508D8—1582no—
1509D8—1582no—
1510D8—1582no—
1511M16—41no—
1512M16—3161no—
1513C2×C8—41no—
1514C2×C8—791no—
1515C2×C8—791no—
1516C2×C8—791no—
1517C2×C8—791no—
1518C2×C8—1582no—
1519C2×C8—1582no—
1520C2×C8—1582no—
1521C2×C8C23×D7911yescharacteristic
1522C2×C8C23×D7911yescharacteristic
1523C2×C8C23×D7911yescharacteristic
1524C2×C8C23×D7911yescharacteristic
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—791no—
1529C4⋊C4—791no—
1530C4⋊C4—791no—
1531C4⋊C4—791no—
1532C4⋊C4—791no—
1533C4⋊C4—791no—
1534C4⋊C4—791no—
1535C4⋊C4—791no—
1536C4⋊C4—791no—
1537C4⋊C4—791no—
1538C4⋊C4—791no—
1539C4⋊C4—791no—
1540C4⋊C4—791no—
1541C4⋊C4—1581no—
1542C4⋊C4—1581no—
1543C4⋊C4—1581no—
1544C4⋊C4—1581no—
1545C4⋊C4—1581no—
1546C4⋊C4—1581no—
1547C4⋊C4—1581no—
1548C4⋊C4—1581no—
1549C4⋊C4—1581no—
1550C4⋊C4D4×D7911yescharacteristic
1551C4⋊C4C23×D7911yescharacteristic
1552C4⋊C4C23×D7911yescharacteristic
1553C4⋊C4C23×D7911yescharacteristic
1554C4⋊C4C23×D7911yescharacteristic
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—21no—
1561C22⋊C4—21no—
1562C22⋊C4—791no—
1563C22⋊C4—791no—
1564C22⋊C4—791no—
1565C22⋊C4—791no—
1566C22⋊C4—791no—
1567C22⋊C4—791no—
1568C22⋊C4—791no—
1569C22⋊C4—791no—
1570C22⋊C4—1581no—
1571C22⋊C4—1581no—
1572C22⋊C4—1581no—
1573C22⋊C4—1581no—
1574C22⋊C4—1581no—
1575C22⋊C4—1581no—
1576C22⋊C4—1581no—
1577C22⋊C4—1581no—
1578C22⋊C4—1581no—
1579C22⋊C4—1581no—
1580C22⋊C4—1581no—
1581C22⋊C4—1581no—
1582C22⋊C4—1581no—
1583C22⋊C4—1581no—
1584C22⋊C4—1581no—
1585C22⋊C4—1581no—
1586C22⋊C4—1581no—
1587C22⋊C4—1581no—
1588C22⋊C4—1581no—
1589C22⋊C4—1581no—
1590C22⋊C4—1581no—
1591C22⋊C4—1581no—
1592C22⋊C4—1581no—
1593C22⋊C4—1581no—
1594C22⋊C4—1581no—
1595C22⋊C4—1581no—
1596C22⋊C4—1581no—
1597C22⋊C4—1581no—
1598C22⋊C4—1581no—
1599C22⋊C4D4×D7911yescharacteristic
1600C22⋊C4D4×D7911yescharacteristic
1601C42—21no—
1602C42—791no—
1603C42—791no—
1604C42—791no—
1605C42—791no—
1606C42—791no—
1607C42—1581no—
1608C42—1581no—
1609C42—1581no—
1610C42C23×D7911yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—42no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—3162no—
1622C23—3162no—
1623C23—3162no—
1624C23—3162no—
1625C23—3162no—
1626C23—791no—
1627C23—6321no—
1628C23—6321no—
1629C23—6321no—
1630C23—6321no—
1631C23—6321no—
1632C23—6321no—
1633C23—6321no—
1634C23—1581no—
1635C23—1581no—
1636C23—1581no—
1637C23—1581no—
1638C23C2×D4×D7911yescharacteristic
1639C23C2×D4×D7911yescharacteristic
1640Q8—6321no—
1641Q8—6321no—
1642Q8—1582no—
1643D4—22no—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—42no—
1652D4—42no—
1653D4—42no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—3162no—
1660D4—3162no—
1661D4—3162no—
1662D4—3162no—
1663D4—3162no—
1664D4—3162no—
1665D4—3162no—
1666D4—3162no—
1667D4—792no—
1668D4—6321no—
1669D4—6321no—
1670D4—6321no—
1671D4—6321no—
1672D4—6321no—
1673D4—6321no—
1674D4—6321no—
1675D4—6321no—
1676D4—6321no—
1677D4—6321no—
1678D4—6321no—
1679D4—6321no—
1680D4—6321no—
1681D4—6321no—
1682D4—1582no—
1683D4—1582no—
1684D4—1581no—
1685D4—1581no—
1686D4—1581no—
1687D4—1581no—
1688D4—1581no—
1689D4—1581no—
1690D4—1581no—
1691D4#41×D7912yes—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—81no—
1701C2×C4—81no—
1702C2×C4—81no—
1703C2×C4—3162no—
1704C2×C4—3162no—
1705C2×C4—3162no—
1706C2×C4—3162no—
1707C2×C4—791no—
1708C2×C4—791no—
1709C2×C4—791no—
1710C2×C4—791no—
1711C2×C4—791no—
1712C2×C4—791no—
1713C2×C4—791no—
1714C2×C4—6321no—
1715C2×C4—6321no—
1716C2×C4—6321no—
1717C2×C4—6321no—
1718C2×C4—6321no—
1719C2×C4—6321no—
1720C2×C4—6321no—
1721C2×C4—6321no—
1722C2×C4—6321no—
1723C2×C4—6321no—
1724C2×C4—6321no—
1725C2×C4—6321no—
1726C2×C4—6321no—
1727C2×C4—6321no—
1728C2×C4—6321no—
1729C2×C4—1581no—
1730C2×C4—1581no—
1731C2×C4—1581no—
1732C2×C4—1581no—
1733C2×C4—1582no—
1734C2×C4—1582no—
1735C2×C4—1581no—
1736C2×C4—1581no—
1737C2×C4C2×D4×D7911yescharacteristic
1738C2×C4C2×D4×D7911yescharacteristic
1739C2×C4C2×D4×D7911yescharacteristic
1740C2×C4C2×D4×D7911yescharacteristic
1741C2×C4C24×D7911yescharacteristic
1742C8—21no—
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—792no—
1747C8—1581no—
1748C8—1581no—
1749C8—1581no—
1750C22—21no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—21no—
1755C22—22no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—84no—
1768C22—162no—
1769C22—3161no—
1770C22—3161no—
1771C22—3161no—
1772C22—3161no—
1773C22—3161no—
1774C22—3161no—
1775C22—3161no—
1776C22—3161no—
1777C22—3161no—
1778C22—3161no—
1779C22—3161no—
1780C22—6324no—
1781C22—1581no—
1782C22—1581no—
1783C22—1581no—
1784C22—1582no—
1785C22—12642no—
1786C22—12642no—
1787C22—12642no—
1788C22#1909936712yes—
1789C22C22×D4×D7911yescharacteristic
1790C4—21no—
1791C4—21no—
1792C4—21no—
1793C4—21no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—3161no—
1799C4—3161no—
1800C4—3161no—
1801C4—3161no—
1802C4—792no—
1803C4—1581no—
1804C4—1581no—
1805C4—1581no—
1806C4—1581no—
1807C4—1581no—
1808C4—1581no—
1809C4C2×#41×D7911yescharacteristic
1810C4#1909939811yescharacteristic
1811C2—22no—
1812C2—41no—
1813C2—42no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—3162no—
1818C2—3161no—
1819C2—6321no—
1820C2—6321no—
1821C2—6321no—
1822C2#2377688411yescharacteristic
1823C2#576×D7911yescharacteristic
1824C2C2×#1909936711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3318C2
socleC22×C79C23×D4
hypercenter#3318D79
hypocenterC79#61480
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #23777428C2semidirect
2. #23777419C2semidirect
3. #23776371C2semidirect
4. #23776262C2semidirect
5. #23776108C2semidirect
6. #23776104C2semidirect
7. #23775817C2semidirect
8. #23775800C2semidirect
9. #23775796C2semidirect
10. #23775638C2semidirect
11. #23775637C2semidirect
12. #23775547C2semidirect
13. #23775543C2semidirect
14. #23775537C2semidirect
15. D4×#11929609C2semidirect
16. #23775070C2semidirect
17. #23775070C2semidirect
18. #23774049C2semidirect
19. #23774045C2semidirect
20. #23773974C2semidirect
21. #23773645C2semidirect
22. #23773641C2semidirect
23. #23773639C2semidirect
24. #23773637C2semidirect
25. #23773488C2semidirect
26. #23773486C2semidirect
27. #23772370C2semidirect
28. #23772249C2semidirect
29. #23772248C2semidirect
30. C2×#19098643C2semidirect
31. C79×#3318C2semidirect
35. #19099277C22semidirect
36. #19099276C22semidirect
37. #19099272C22semidirect
38. #19099269C22semidirect
39. #19099265C22semidirect
41. #19099261C22semidirect
42. #19099259C22semidirect
44. #19099234C22semidirect
45. #19099233C22semidirect
52. D4×D316C22semidirect
53. #19099197C22semidirect
54. #19099197C22semidirect
55. D4×C22⋊D79C22semidirect
56. D4×C22⋊D79C22semidirect
57. #19099169C22semidirect
58. #19099167C22semidirect
59. #19099166C22semidirect
60. #19099166C22semidirect
65. #19099108C22semidirect
66. #19099108C22semidirect
72. #19099038C22semidirect
73. #19099037C22semidirect
74. #19099035C22semidirect
75. #19099035C22semidirect
76. C2×D4×Dic79C22semidirect
77. C2×#14579123C22semidirect
78. #19098967C22semidirect
79. #19098963C22semidirect
80. #19098962C22semidirect
81. #19098939C22semidirect
82. #19098938C22semidirect
83. #19098938C22semidirect
84. #19098928C22semidirect
85. #19098926C22semidirect
86. #19098926C22semidirect
87. #19098908C22semidirect
88. #19098908C22semidirect
89. #19098890C22semidirect
90. #19098889C22semidirect
91. #19098888C22semidirect
92. #19098887C22semidirect
93. #19098886C22semidirect
94. #19098885C22semidirect
95. #19098884C22semidirect
96. #19098882C22semidirect
97. #19098881C22semidirect
98. #19098879C22semidirect
99. #19098866C22semidirect
100. #19098865C22semidirect
101. #19098864C22semidirect
102. #19098863C22semidirect
103. #19098862C22semidirect
104. #19098861C22semidirect
105. #19098860C22semidirect
106. #19098852C22semidirect
107. #19098852C22semidirect
108. #19098851C22semidirect
109. #19098851C22semidirect
110. #19098816C22semidirect
111. #19098815C22semidirect
112. #19098815C22semidirect
113. #19098799C22semidirect
114. #19098798C22semidirect
115. #19098798C22semidirect
116. #19098797C22semidirect
117. #19098797C22semidirect
118. #19098797C22semidirect
119. #19098797C22semidirect
120. #19098759C22semidirect
121. #19098758C22semidirect
122. #19098757C22semidirect
123. #19098757C22semidirect
124. #19098757C22semidirect
125. #19098757C22semidirect
126. #19098756C22semidirect
127. #19098756C22semidirect
128. #19098756C22semidirect
129. #19098756C22semidirect
130. #19098755C22semidirect
131. #19098699C22semidirect
132. #19098699C22semidirect
133. #19098698C22semidirect
134. #19098698C22semidirect
135. #19098697C22semidirect
136. #19098697C22semidirect
137. #19098696C22semidirect
138. #19098696C22semidirect
139. #19098695C22semidirect
140. #19098695C22semidirect
141. #19098691C22semidirect
142. #19098687C22semidirect
143. #19098676C22semidirect
144. #19098675C22semidirect
145. #19098675C22semidirect
146. #19098674C22semidirect
147. #19098674C22semidirect
148. #19098672C22semidirect
149. #19098672C22semidirect
150. #19098672C22semidirect
151. #19098672C22semidirect
152. #19098672C22semidirect
153. #19098672C22semidirect
154. D8×Dic79C22semidirect
155. #19098645C22semidirect
157. C4×#11929609C22semidirect
161. #19098643C22semidirect
162. #19098643C22semidirect
163. #19098643C22semidirect
164. #19098643C22semidirect
165. #19098643C22semidirect
166. #19098643C22semidirect
167. #19098643C22semidirect
168. #19098643C22semidirect
169. #19098643C22semidirect
170. #19098639C22semidirect
171. #19098634C22semidirect
172. D4×C79⋊C8C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. (C22⋊D79)⋊C8C22semidirect
175. #19098623C22semidirect
176. #19098621C22semidirect
177. #19098617C22semidirect
178. #19098599C22semidirect
179. #19098598C22semidirect
180. C2×#14579094C22semidirect
181. #19098569C22semidirect
182. #19098566C22semidirect
183. #19098566C22semidirect
184. C2×#14579083C22semidirect
185. #19098521C22semidirect
186. #19098520C22semidirect
187. C2×C8×Dic79C22semidirect
188. #553×C79C22semidirect
189. D42×C79C22semidirect
190. #490×C79C22semidirect
191. #482×C79C22semidirect
192. #481×C79C22semidirect
193. #478×C79C22semidirect
194. #469×C79C22semidirect
195. #466×C79C22semidirect
196. #459×C79C22semidirect
197. #447×C79C22semidirect
198. #447×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. C2×#102×C79C22semidirect
569. #11929609#41semidirect
927. #3318D79semidirect
944. C79#61480semidirect
957. #553C2×D79semidirect
971. D42C2×D79semidirect
1002. #490C2×D79semidirect
1012. #482C2×D79semidirect
1016. #481C2×D79semidirect
1024. #478C2×D79semidirect
1032. #469C2×D79semidirect
1040. #466C2×D79semidirect
1052. #459C2×D79semidirect
1063. #447C2×D79semidirect
1064. #447C2×D79semidirect
1078. #442C2×D79semidirect
1097. #435C2×D79semidirect
1110. #418C2×D79semidirect
1112. C2×#102C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774282
#237774192
#237763712
#237762622
#237761082
#237761042
#237758172
#237758002
#237757962
#237756382
#237756372
#237755472
#237755432
#237755372
D4×#119296092
#237750702
#237740492
#237740452
#237739742
#237736452
#237736412
#237736392
#237736372
#237734882
#237734862
#237723702
#237722492
#237722482
C2×#190986432
C79×#33182
#6148079