Finite Group Databasebeta

← #35167218

Subgroups — #35167218

Order 20224.

1884 conjugacy classes of subgroups.

The subgroup lattice has 1732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777134C211yesmaximal, characteristic, complemented
2#23777128C211yesmaximal, characteristic, complemented
3#23775906C211yesmaximal, characteristic, complemented
4#23775902C211yesmaximal, characteristic, complemented
5#23775896C211yesmaximal, characteristic, complemented
6#23775875C211yesmaximal, characteristic, complemented
7#23775871C211yesmaximal, characteristic, complemented
8#23775869C211yesmaximal, characteristic, complemented
9#23775865C211yesmaximal, characteristic, complemented
10#23775818C211yesmaximal, characteristic, complemented
11#23775817C211yesmaximal, characteristic, complemented
12#23775799C211yesmaximal, characteristic, complemented
13#23775796C211yesmaximal, characteristic, complemented
14#23775795C211yesmaximal, characteristic, complemented
15#23775795C211yesmaximal, characteristic, complemented
16#23775746C211yesmaximal, characteristic, complemented
17#23775742C211yesmaximal, characteristic, complemented
18#23773935C211yesmaximal, characteristic, complemented
19#23773355C211yesmaximal, characteristic, complemented
20#23773351C211yesmaximal, characteristic, complemented
21#23773339C211yesmaximal, characteristic, complemented
22#23773339C211yesmaximal, characteristic, complemented
23#23773228C211yesmaximal, characteristic, complemented
24#23773224C211yesmaximal, characteristic, complemented
25#23773046C211yesmaximal, characteristic, complemented
26#466×D79C211yesmaximal, characteristic, complemented
27#23772249C211yesmaximal, characteristic, complemented
28#23772091C211yesmaximal, characteristic, complemented
29#23771999C211yesmaximal, characteristic, complemented
30#427×D79C211yesmaximal, characteristic, complemented
31C79×#3347C211yesmaximal, characteristic, complemented
32C2×D8×D79C2211yescharacteristic
33C2×#14579169C2211yescharacteristic
34C22×C8×D79C2211yescharacteristic
35#19099278C2211yescharacteristic, complemented
36#19099277C2211yescharacteristic, complemented
37#19099276C2211yescharacteristic, complemented
38#19099266C2211yescharacteristic, complemented
39#19099263C2211yescharacteristic, complemented
40#19099260C2211yescharacteristic, complemented
41#19099260C2211yescharacteristic, complemented
42#19099259C2211yescharacteristic, complemented
43#19099257C2211yescharacteristic, complemented
44#19099257C2211yescharacteristic, complemented
45#19099243—21no—
46#19099242—21no—
47#19099238—21no—
48#19099237—21no—
49#19099218C2211yescharacteristic, complemented
50#19099216C2211yescharacteristic, complemented
51#19099214C2211yescharacteristic, complemented
52#19099213C2211yescharacteristic, complemented
53#19099210—21no—
54#19099206—21no—
55#19099205—21no—
56#19099202—21no—
57#19099193C2211yescharacteristic
58#19099190C2211yescharacteristic
59#19099181—21no—
60#19099177—21no—
61#19099163—21no—
62#19099163—21no—
63#19099129C2211yescharacteristic
64#19099129C2211yescharacteristic
65#19099112—21no—
66#19099110—21no—
67#19099096—21no—
68#19099091—21no—
69#19099072C2211yescharacteristic
70#121×D79C2211yescharacteristic
71#121×D79C2211yescharacteristic
72#19099044C2211yescharacteristic
73#19099043C2211yescharacteristic
74#19099035C2211yescharacteristic
75#19099035C2211yescharacteristic
76#117×D79C2211yescharacteristic
77#117×D79C2211yescharacteristic
78#19098972C2211yescharacteristic, complemented
79#19098971C2211yescharacteristic, complemented
80#19098970C2211yescharacteristic, complemented
81#19098967C2211yescharacteristic, complemented
82#19098966C2211yescharacteristic, complemented
83#19098963C2211yescharacteristic, complemented
84#19098962C2211yescharacteristic, complemented
85#19098890C2211yescharacteristic, complemented
86#19098890C2211yescharacteristic, complemented
87#19098888C2211yescharacteristic, complemented
88#19098888C2211yescharacteristic, complemented
89#19098888C2211yescharacteristic, complemented
90#19098887C2211yescharacteristic, complemented
91#19098887C2211yescharacteristic, complemented
92#19098887C2211yescharacteristic, complemented
93#19098885C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic, complemented
95#19098884C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098883C2211yescharacteristic, complemented
99#19098883C2211yescharacteristic, complemented
100#19098883C2211yescharacteristic, complemented
101#19098881C2211yescharacteristic, complemented
102#19098880C2211yescharacteristic, complemented
103#19098880C2211yescharacteristic, complemented
104#19098880C2211yescharacteristic, complemented
105#19098879C2211yescharacteristic, complemented
106#19098878C2211yescharacteristic, complemented
107#19098878C2211yescharacteristic, complemented
108#19098878C2211yescharacteristic, complemented
109#19098877C2211yescharacteristic, complemented
110#19098875C2211yescharacteristic, complemented
111#19098875C2211yescharacteristic, complemented
112#19098875C2211yescharacteristic, complemented
113#19098866C2211yescharacteristic, complemented
114#19098866C2211yescharacteristic, complemented
115#19098864C2211yescharacteristic, complemented
116#19098863C2211yescharacteristic, complemented
117#19098861C2211yescharacteristic, complemented
118#19098861C2211yescharacteristic, complemented
119#19098860C2211yescharacteristic, complemented
120#19098853C2211yescharacteristic, complemented
121#19098852C2211yescharacteristic, complemented
122#19098851C2211yescharacteristic, complemented
123#19098850C2211yescharacteristic, complemented
124#19098844C2211yescharacteristic, complemented
125#19098842C2211yescharacteristic, complemented
126#19098841C2211yescharacteristic, complemented
127#19098817C2211yescharacteristic, complemented
128#19098816C2211yescharacteristic, complemented
129#19098813C2211yescharacteristic, complemented
130#19098800C2211yescharacteristic
131#19098799C2211yescharacteristic
132#19098798C2211yescharacteristic
133#19098798C2211yescharacteristic
134#19098798C2211yescharacteristic, complemented
135#19098798C2211yescharacteristic, complemented
136#19098797C2211yescharacteristic
137#19098797C2211yescharacteristic
138#19098797C2211yescharacteristic, complemented
139#19098797C2211yescharacteristic, complemented
140#19098796C2211yescharacteristic
141#19098676C2211yescharacteristic, complemented
142#19098675C2211yescharacteristic, complemented
143#19098674C2211yescharacteristic, complemented
144C4×#11929609C2211yescharacteristic, complemented
145C4×#11929609C2211yescharacteristic, complemented
146#19098643C2211yescharacteristic, complemented
147#19098643C2211yescharacteristic, complemented
148#19098636C2211yescharacteristic, complemented
149#19098634C2211yescharacteristic, complemented
150#19098632C2211yescharacteristic, complemented
151D4×C79⋊C8C2211yescharacteristic, complemented
152#19098628C2211yescharacteristic, complemented
153(C22⋊D79)⋊C8C2211yescharacteristic, complemented
154(C22⋊D79)⋊C8C2211yescharacteristic, complemented
155#19098605C2211yescharacteristic, complemented
156#19098604C2211yescharacteristic
157#19098604C2211yescharacteristic
158#19098604C2211yescharacteristic, complemented
159#19098602C2211yescharacteristic
160#19098602C2211yescharacteristic
161#19098602C2211yescharacteristic, complemented
162#19098601C2211yescharacteristic, complemented
163#19098600C2211yescharacteristic
164#19098600C2211yescharacteristic
165#19098599C2211yescharacteristic, complemented
166#19098599C2211yescharacteristic, complemented
167#19098599C2211yescharacteristic, complemented
168#19098598C2211yescharacteristic
169#19098598C2211yescharacteristic
170#19098598C2211yescharacteristic, complemented
171C2×#14579094C2211yescharacteristic, complemented
172#107×D79C2211yescharacteristic
173#107×D79C2211yescharacteristic, complemented
174#107×D79C2211yescharacteristic, complemented
175#107×D79C2211yescharacteristic, complemented
176#106×D79C2211yescharacteristic, complemented
177#106×D79C2211yescharacteristic, complemented
178#19098588C2211yescharacteristic
179#19098566C2211yescharacteristic
180#19098566C2211yescharacteristic
181#19098566C2211yescharacteristic
182#19098566C2211yescharacteristic
183#102×D79C2211yescharacteristic
184#102×D79C2211yescharacteristic
185#19098528C2211yescharacteristic
186#19098525C2211yescharacteristic
187#19098520C2211yescharacteristic
188#555×C79C2211yescharacteristic, complemented
189#553×C79C2211yescharacteristic, complemented
190#501×C79C2211yescharacteristic, complemented
191#482×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#482×C79C2211yescharacteristic, complemented
194#480×C79C2211yescharacteristic, complemented
195#478×C79C2211yescharacteristic, complemented
196#474×C79C2211yescharacteristic, complemented
197#469×C79C2211yescharacteristic, complemented
198#466×C79C2211yescharacteristic
199#442×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#428×C79C2211yescharacteristic, complemented
202#427×C79C2211yescharacteristic, complemented
203C2×#11929625—21no—
204C2×#11929624—21no—
205C2×#11929624—21no—
206C2×#11929624C2311yescharacteristic
207C2×#11929623—21no—
208C2×D4×D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C2×D4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C2×D632C2311yescharacteristic
214C2×#11929609C2311yescharacteristic
215C2×#11929609C2311yescharacteristic
216D8×D79—24no—
217#14579169—24no—
218C2×#11929607C2311yescharacteristic
219C2×#11929607C2311yescharacteristic
220C2×#11929607C2311yescharacteristic
221C22×C79⋊C8C2311yescharacteristic
222C22×C79⋊C8C2311yescharacteristic
223C2×C8×D79—24no—
224C2×C8×D79C2311yescharacteristic
225C2×C8×D79C2311yescharacteristic
226C2×C8×D79C2311yescharacteristic
227C2×C8×D79C2311yescharacteristic
228C2×C8×D79C2311yescharacteristic
229#14579161C2311yescharacteristic
230#14579160—21no—
231#14579160C2311yescharacteristic
232#14579160C2311yescharacteristic
233#14579159—21no—
234#14579157—21no—
235#14579157—21no—
236#14579156—21no—
237#14579156—21no—
238#14579155—21no—
239#14579155—21no—
240#14579154—21no—
241#14579154—21no—
242#14579154—21no—
243#14579153C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579151—21no—
247#14579151—21no—
248#14579149—21no—
249#14579148—21no—
250#14579147—21no—
251#14579147—21no—
252#14579147—21no—
253#14579147—21no—
254#14579147—21no—
255#14579147—21no—
256#14579146—21no—
257#14579146—21no—
258#14579146—21no—
259#14579146—21no—
260#14579146D411yescharacteristic
261#14579144—21no—
262#14579144—21no—
263#14579143—21no—
264#14579143—21no—
265#14579143—21no—
266#14579143—21no—
267#14579143—21no—
268#14579143—21no—
269#14579143D411yescharacteristic
270#14579142—21no—
271#14579142—21no—
272#14579142—21no—
273#14579141—21no—
274#14579140—21no—
275#14579139—21no—
276#14579139—21no—
277#14579139—21no—
278#14579139D411yescharacteristic
279#14579138—21no—
280#14579138D411yescharacteristic
281#14579137—21no—
282#14579137—21no—
283#14579136—21no—
284#14579136C2311yescharacteristic
285#14579136C2311yescharacteristic
286#14579136C2311yescharacteristic
287#14579136C2311yescharacteristic
288#14579135C2311yescharacteristic
289#14579135C2311yescharacteristic
290#14579135C2311yescharacteristic
291#14579135C2311yescharacteristic
292#14579134—21no—
293#14579134—21no—
294#14579134—21no—
295#14579134—21no—
296#14579134—21no—
297#14579134—21no—
298#14579134D411yescharacteristic
299#14579133—21no—
300#14579133—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133D411yescharacteristic
304#14579132—21no—
305#14579132—21no—
306#14579132—21no—
307#14579132C2311yescharacteristic
308#14579132C2311yescharacteristic
309#14579132C2311yescharacteristic
310#14579132C2311yescharacteristic
311#14579131—21no—
312#14579131—21no—
313#14579131D411yescharacteristic
314#14579129—21no—
315#14579129—21no—
316#14579129D411yescharacteristic
317C4×Dic158—21no—
318#14579126—21no—
319C4×D316—21no—
320C4×D316—21no—
321C4×D316—21no—
322C4×D316C2311yescharacteristic
323C4×D316C2311yescharacteristic
324C4×D316C2311yescharacteristic
325D4×Dic79C2311yescharacteristic
326D4×Dic79C2311yescharacteristic
327#14579123—21no—
328#14579123—21no—
329#14579123C2311yescharacteristic
330#14579123C2311yescharacteristic
331C4×C22⋊D79—21no—
332C4×C22⋊D79—21no—
333C4×C22⋊D79—21no—
334C4×C22⋊D79—21no—
335C4×C22⋊D79—21no—
336C4×C22⋊D79C2311yescharacteristic
337C4×C22⋊D79C2311yescharacteristic
338(C22⋊D79)⋊C4—21no—
339(C22⋊D79)⋊C4—21no—
340(C22⋊D79)⋊C4—21no—
341(C22⋊D79)⋊C4—21no—
342(C22⋊D79)⋊C4—21no—
343(C22⋊D79)⋊C4—21no—
344(C22⋊D79)⋊C4—21no—
345#14579120C2311yescharacteristic
346#14579120C2311yescharacteristic
347#14579120C2311yescharacteristic
348#14579119—21no—
349#14579119C2311yescharacteristic
350#14579119C2311yescharacteristic
351#14579119C2311yescharacteristic
352#14579119C2311yescharacteristic
353#14579119C2311yescharacteristic
354#14579119C2311yescharacteristic
355#14579118—21no—
356#14579118—21no—
357#14579118—21no—
358#14579118C2311yescharacteristic
359#14579117—21no—
360#14579117—21no—
361#14579117—21no—
362C2×C4⋊Dic79C2311yescharacteristic
363C4⋊C4×D79C2311yescharacteristic
364C4⋊C4×D79C2311yescharacteristic
365C4⋊C4×D79C2311yescharacteristic
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
369C4⋊C4×D79C2311yescharacteristic
370C4⋊C4×D79C2311yescharacteristic
371C2×(C2×D79)⋊C4—21no—
372C2×(C2×D79)⋊C4—21no—
373C22⋊C4×D79—21no—
374C22⋊C4×D79—21no—
375C22⋊C4×D79—21no—
376C22⋊C4×D79—21no—
377C22⋊C4×D79—21no—
378C22⋊C4×D79—21no—
379C42×D79—21no—
380C42×D79—21no—
381#14579095C2311yescharacteristic
382#14579095C2311yescharacteristic
383#14579095C2311yescharacteristic
384#14579095C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579094C2311yescharacteristic
393#14579094C2311yescharacteristic
394#14579094C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579093C2311yescharacteristic
397#14579093C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579092C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403#14579092C2311yescharacteristic
404#14579092C2311yescharacteristic
405#14579092C2311yescharacteristic
406#14579092C2311yescharacteristic
407#14579092C2311yescharacteristic
408C4⋊(C79⋊C8)C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410Dic79⋊C8C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429C22⋊(C79⋊C8)C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431(C2×D79)⋊C8C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435#14579071C2311yescharacteristic
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×M16×C79C2311yescharacteristic
440C22×C8×C79C2311yescharacteristic
441C4⋊Q8×C79C2311yescharacteristic
442#126×C79—21no—
443#125×C79C2311yescharacteristic
444#124×C79—21no—
445#124×C79—21no—
446#123×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453C4×D4×C79—21no—
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456C4×D4×C79C2311yescharacteristic
457#117×C79—21no—
458#117×C79C2311yescharacteristic
459#117×C79C2311yescharacteristic
460#117×C79C2311yescharacteristic
461C2×C4⋊C4×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#107×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#107×C79C2311yescharacteristic
466#107×C79C2311yescharacteristic
467#106×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×C79C2311yescharacteristic
470#106×C79C2311yescharacteristic
471C4⋊C8×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×D79C2×D411yescharacteristic
484#11929625—82no—
485#11929624—22no—
486#11929624—22no—
487#11929624—82no—
488#11929624—82no—
489#11929623—82no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×D316—21no—
495C2×D316—21no—
496C2×D316—21no—
497C2×D316—21no—
498C2×D316C2×D411yescharacteristic
499C2×D316C2×D411yescharacteristic
500C2×D316C2411yescharacteristic
501C2×D316C2411yescharacteristic
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
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⋊D79C2×D411yescharacteristic
513C2×C22⋊D79C2×D411yescharacteristic
514C2×C22⋊D79C2×D411yescharacteristic
515C2×C22⋊D79C2×D411yescharacteristic
516D4×D79—22no—
517D4×D79—22no—
518D4×D79—22no—
519D4×D79—22no—
520D4×D79—82no—
521D4×D79—82no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79C2×D411yescharacteristic
526C2×C4×D79—22no—
527C2×C4×D79—22no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79C2×D411yescharacteristic
541C2×C4×D79C2×D411yescharacteristic
542C2×C4×D79C2411yescharacteristic
543C2×C4×D79C2411yescharacteristic
544C2×C4×D79C2411yescharacteristic
545D632—22no—
546#11929609—22no—
547#11929609—22no—
548#11929607—22no—
549#11929607—22no—
550#11929607—22no—
551C2×C79⋊C8—22no—
552C2×C79⋊C8—22no—
553C2×C79⋊C8C2411yescharacteristic
554C2×C79⋊C8C2411yescharacteristic
555C2×C79⋊C8C2411yescharacteristic
556C2×C79⋊C8C2411yescharacteristic
557C8×D79—22no—
558C8×D79—22no—
559C8×D79—22no—
560C8×D79—22no—
561C8×D79#4114yescomplemented
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79C2×D411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568C4⋊Dic79C2411yescharacteristic
569C4⋊Dic79C2411yescharacteristic
570C4⋊Dic79C2411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572C4⋊Dic79C2411yescharacteristic
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4C2×D411yescharacteristic
588Dic79⋊C4C2×D411yescharacteristic
589Dic79⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79C2×D411yescharacteristic
601C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
621(C2×D79)⋊C4C2×D411yescharacteristic
622(C2×D79)⋊C4C2×D411yescharacteristic
623(C2×D79)⋊C4C2×D411yescharacteristic
624(C2×D79)⋊C4C2×D411yescharacteristic
625(C2×D79)⋊C4C2×D411yescharacteristic
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79C2411yescharacteristic
636C2×Q8×C79—21no—
637C2×D4×C79—21no—
638C2×D4×C79—21no—
639C2×D4×C79—21no—
640C2×D4×C79—21no—
641C2×D4×C79C2×D411yescharacteristic
642C2×D4×C79C2411yescharacteristic
643C2×D4×C79C2411yescharacteristic
644C22×C4×C79—21no—
645C22×C4×C79—21no—
646C22×C4×C79—21no—
647C22×C4×C79C2411yescharacteristic
648C22×C4×C79C2411yescharacteristic
649D8×C79—22no—
650M16×C79—22no—
651C2×C8×C79—22no—
652C2×C8×C79C2411yescharacteristic
653C2×C8×C79C2411yescharacteristic
654C2×C8×C79C2411yescharacteristic
655C2×C8×C79C2411yescharacteristic
656C4⋊C4×C79—21no—
657C4⋊C4×C79—21no—
658C4⋊C4×C79—21no—
659C4⋊C4×C79—21no—
660C4⋊C4×C79C2×D411yescharacteristic
661C4⋊C4×C79C2411yescharacteristic
662C4⋊C4×C79C2411yescharacteristic
663C4⋊C4×C79C2411yescharacteristic
664C4⋊C4×C79C2411yescharacteristic
665C4⋊C4×C79C2411yescharacteristic
666C4⋊C4×C79C2411yescharacteristic
667C22⋊C4×C79—21no—
668C22⋊C4×C79—21no—
669C22⋊C4×C79—21no—
670C22⋊C4×C79—21no—
671C22⋊C4×C79—21no—
672C22⋊C4×C79—21no—
673C22⋊C4×C79—21no—
674C22⋊C4×C79—21no—
675C22⋊C4×C79—21no—
676C22⋊C4×C79C2×D411yescharacteristic
677C22⋊C4×C79C2×D411yescharacteristic
678C42×C79—21no—
679C42×C79—21no—
680C42×C79—21no—
681C42×C79C2411yescharacteristic
682C23×C79—21no—
683C23×C79—21no—
684C23×C79C22×D411yescharacteristic
685C23×C79C22×D411yescharacteristic
686C22×D79—22no—
687C22×D79—22no—
688C22×D79—21no—
689C22×D79—21no—
690C22×D79—41no—
691C22×D79—42no—
692C22×D79—42no—
693C22×D79—81no—
694C22×D79—81no—
695C22×D79—81no—
696C22×D79—81no—
697C22×D79C22×D411yescharacteristic
698C22×D79C22×D411yescharacteristic
699C22×D79C22×D411yescharacteristic
700Q8×C79—81no—
701D4×C79—21no—
702D4×C79—21no—
703D4×C79—21no—
704D4×C79—21no—
705D4×C79—41no—
706D4×C79—81no—
707D4×C79—81no—
708D4×C79—81no—
709D4×C79—81no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—81no—
721C2×C4×C79—81no—
722C2×C4×C79—81no—
723C2×C4×C79C22×D411yescharacteristic
724C2×C4×C79C22×D411yescharacteristic
725C2×C4×C79C22×D411yescharacteristic
726C2×C4×C79C22×D411yescharacteristic
727C2×C4×C79C2511yescharacteristic
728C22⋊D79—22no—
729C22⋊D79—22no—
730C22⋊D79—22no—
731C22⋊D79—41no—
732C22⋊D79—42no—
733C22⋊D79—42no—
734C22⋊D79—42no—
735C22⋊D79—42no—
736C22⋊D79—81no—
737C22⋊D79—81no—
738C22⋊D79—81no—
739C22⋊D79—81no—
740C22⋊D79—81no—
741C22⋊D79—81no—
742C2×Dic79—22no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—81no—
750C2×Dic79—81no—
751C2×Dic79—81no—
752C2×Dic79C22×D411yescharacteristic
753C2×Dic79C22×D411yescharacteristic
754C2×Dic79C22×D411yescharacteristic
755C2×Dic79C22×D411yescharacteristic
756C2×Dic79C22×D411yescharacteristic
757D316—22no—
758D316—22no—
759D316—21no—
760D316—21no—
761D316—21no—
762D316—21no—
763D316—42no—
764D316—42no—
765D316—81no—
766D316—81no—
767C4×D79—22no—
768C4×D79—21no—
769C4×D79—21no—
770C4×D79—21no—
771C4×D79—21no—
772C4×D79—22no—
773C4×D79—42no—
774C4×D79—42no—
775C4×D79—81no—
776C4×D79—81no—
777C4×D79—81no—
778C4×D79—81no—
779C4×D79—81no—
780C4×D79—81no—
781C4×D79—81no—
782C4×D79—81no—
783C4×D79—81no—
784C4×D79—81no—
785C4×D79C2×#4112yes—
786C4×D792−1+412yes—
787Dic158—22no—
788Dic158—81no—
789Dic158—81no—
790Dic158—81no—
791C8×C79—21no—
792C8×C79—21no—
793C8×C79—21no—
794C8×C79C2×#4112yes—
795C79⋊C8—21no—
796C79⋊C8—21no—
797C79⋊C8—21no—
798C79⋊C8C2×#4112yes—
799C22×C79—21no—
800C22×C79—21no—
801C22×C79—21no—
802C22×C79—21no—
803C22×C79—21no—
804C22×C79—21no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79C23×D411yescharacteristic
812C2×D79—21no—
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—21no—
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—21no—
819C2×D79—44no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—162no—
827C2×D79—162no—
828C2×D79#54712yes—
829C2×D79#57612yes—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—21no—
833C4×C79—21no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79C22×#4111yescharacteristic
841C4×C79C2×2−1+411yescharacteristic
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—21no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852Dic79#54712yes—
853#61262—791nomaximal, Sylow
854C2×C79—41no—
855C2×C79—41no—
856C2×C79—81no—
857C2×C79—81no—
858C2×C79C2×#54711yescharacteristic
859C2×C79C2×#57611yescharacteristic
860C2×C79#358411yescharacteristic
861D79—22no—
862D79—22no—
863D79—41no—
864D79—81no—
865D79—81no—
866#3494—791no—
867#3494—791no—
868#3347—791no—
869#3347—791no—
870#3347—791no—
871#3347D7911yescharacteristic, complemented
872#3345—791no—
873#3345—791no—
874#3345—791no—
875#3345—791no—
876#3341—791no—
877#3341—791no—
878#3339—791no—
879#3339—791no—
880#3339—791no—
881#3339—791no—
882#3334—791no—
883#3334—791no—
884#3164—791no—
885#3096—791no—
886#3096—791no—
887#3094—791no—
888#3094—791no—
889#3081—791no—
890#3081—791no—
891#3058—791no—
892C2×#466—791no—
893#2948—791no—
894#2929—791no—
895#2913—791no—
896C2×#427—791no—
897C79#6126211yescharacteristic, complemented, Sylow
898C22×D8—791no—
899C2×#131—791no—
900C23×C8—791no—
901#555—791no—
902#555—791no—
903#555—791no—
904#555C2×D7911yescharacteristic, complemented
905#553—791no—
906#553—791no—
907#553—791no—
908#553—791no—
909#553—791no—
910#553—791no—
911#553—791no—
912#553C2×D7911yescharacteristic, complemented
913#551—1581no—
914#551—1581no—
915#551—1581no—
916#551—1581no—
917#547—791no—
918#547—791no—
919#547—791no—
920#547—791no—
921#546—1581no—
922#546—1581no—
923#546—1581no—
924#546—1581no—
925#544—791no—
926#544—791no—
927#542—1581no—
928#542—1581no—
929#540—1581no—
930#540—1581no—
931#535—791no—
932#535—791no—
933#532—1581no—
934#532—1581no—
935#529—1581no—
936#529—1581no—
937#525—791no—
938C2×#121—791no—
939C2×#121—791no—
940#520—791no—
941#520—791no—
942#518—791no—
943#518—791no—
944C2×#117—791no—
945C2×#117—791no—
946#501—791no—
947#501—791no—
948#501—791no—
949#501C2×D7911yescharacteristic, complemented
950#500—791no—
951#500—791no—
952#499—791no—
953#499—791no—
954#482—791no—
955#482—791no—
956#482—791no—
957#482—791no—
958#482—791no—
959#482—791no—
960#482—791no—
961#482—791no—
962#482—791no—
963#482—791no—
964#482—791no—
965#482—791no—
966#482—791no—
967#482C2×D7911yescharacteristic, complemented
968#482C2×D7911yescharacteristic, complemented
969#482C2×D7911yescharacteristic, complemented
970#481—791no—
971#481—791no—
972#481—791no—
973#481—791no—
974#481—791no—
975#481—791no—
976#481—791no—
977#481—791no—
978#480—791no—
979#480—791no—
980#480—791no—
981#480—791no—
982#480—791no—
983#480—791no—
984#480—791no—
985#480C2×D7911yescharacteristic, complemented
986#478—791no—
987#478—791no—
988#478—791no—
989#478—791no—
990#478—791no—
991#478—791no—
992#478—791no—
993#478C2×D7911yescharacteristic, complemented
994#476—791no—
995#476—791no—
996#476—791no—
997#476—791no—
998#474—791no—
999#474—791no—
1000#474—791no—
1001#474C2×D7911yescharacteristic, complemented
1002#469—791no—
1003#469—791no—
1004#469—791no—
1005#469C2×D7911yescharacteristic, complemented
1006#466—791no—
1007#466—791no—
1008#466—791no—
1009#466—791no—
1010#466—791no—
1011#466—791no—
1012#466—791no—
1013#466—791no—
1014#466—791no—
1015#466—791no—
1016#466—791no—
1017#466C2×D7911yescharacteristic
1018#442—791no—
1019#442—791no—
1020#442—791no—
1021#442C2×D7911yescharacteristic, complemented
1022C4×D8—791no—
1023C4×D8—791no—
1024C4×D8—791no—
1025C4×D8—791no—
1026#435—791no—
1027#435—791no—
1028#435—791no—
1029#435C2×D7911yescharacteristic, complemented
1030C8×D4—791no—
1031C8×D4—791no—
1032C8×D4—791no—
1033C8×D4—791no—
1034#428—791no—
1035#428—791no—
1036#428—791no—
1037#428—791no—
1038#428—791no—
1039#428—791no—
1040#428—791no—
1041#428C2×D7911yescharacteristic, complemented
1042#427—791no—
1043#427—791no—
1044#427—791no—
1045#427—791no—
1046#427—791no—
1047#427—791no—
1048#427—791no—
1049#427—791no—
1050#427—791no—
1051#427C2×D7911yescharacteristic, complemented
1052C2×#107—791no—
1053C2×#107—791no—
1054C2×#107—791no—
1055C2×#107—791no—
1056C2×#107—791no—
1057C2×#106—791no—
1058C2×#106—791no—
1059#424—791no—
1060#418—791no—
1061#418—791no—
1062#418—791no—
1063#418—791no—
1064C2×#102—791no—
1065C2×#102—791no—
1066#408—791no—
1067#407—791no—
1068#405—791no—
1069C2×#41—791no—
1070C2×#41—1581no—
1071C2×#41—1581no—
1072C2×#41—1581no—
1073C2×#41—1581no—
1074C22×D4—791no—
1075C22×D4—791no—
1076C22×D4—1581no—
1077C22×D4—1581no—
1078C23×C4—791no—
1079C2×D8—791no—
1080C2×D8—791no—
1081C2×D8—791no—
1082C2×D8—1584no—
1083C2×D8C22×D7911yescharacteristic
1084#131—1584no—
1085C2×M16—791no—
1086C2×M16—791no—
1087C2×M16—791no—
1088C2×M16C22×D7911yescharacteristic
1089C22×C8—791no—
1090C22×C8—791no—
1091C22×C8—791no—
1092C22×C8—791no—
1093C22×C8—791no—
1094C22×C8—791no—
1095C22×C8—791no—
1096C22×C8—1584no—
1097C22×C8C22×D7911yescharacteristic
1098C4⋊Q8—791no—
1099C4⋊Q8—791no—
1100C4⋊Q8—791no—
1101C4⋊Q8—1581no—
1102C4⋊Q8—1581no—
1103C4⋊Q8C22×D7911yescharacteristic
1104#127—1581no—
1105#127—1581no—
1106#126—21no—
1107#126—1581no—
1108#126—1581no—
1109#126—1581no—
1110#126—1581no—
1111#126—1581no—
1112#126—1581no—
1113#126—1581no—
1114#125—791no—
1115#125—791no—
1116#125—791no—
1117#125—1581no—
1118#125—1581no—
1119#125C22×D7911yescharacteristic
1120#124—21no—
1121#124—21no—
1122#124—1581no—
1123#124—1581no—
1124#124—1581no—
1125#124—1581no—
1126#124—1581no—
1127#124—1581no—
1128#124—1581no—
1129#124—1581no—
1130#123—21no—
1131#123—791no—
1132#123—791no—
1133#123—1581no—
1134#123—1581no—
1135#123—1581no—
1136#123—1581no—
1137#123—1581no—
1138#123—1581no—
1139#123—1581no—
1140#123—1581no—
1141#123—1581no—
1142#123—1581no—
1143#123—1581no—
1144#123—1581no—
1145#123—1581no—
1146#123—1581no—
1147#123—1581no—
1148C22⋊Q8—791no—
1149C22⋊Q8—791no—
1150C22⋊Q8—1581no—
1151C22⋊Q8—1581no—
1152C22⋊Q8—1581no—
1153C22⋊Q8—1581no—
1154C22⋊Q8—1581no—
1155C22⋊Q8—1581no—
1156C22⋊Q8—1581no—
1157C22⋊Q8—1581no—
1158#121—21no—
1159#121—21no—
1160#121—791no—
1161#121—791no—
1162#121—791no—
1163#121—791no—
1164#121—791no—
1165#121—791no—
1166#121—791no—
1167#121—791no—
1168#121—791no—
1169#121—791no—
1170#121—791no—
1171#121—791no—
1172#121—791no—
1173#121—791no—
1174#121—1581no—
1175#121—1581no—
1176#121—1581no—
1177#121—1581no—
1178#121—1581no—
1179#121—1581no—
1180#121—1581no—
1181#121—1581no—
1182#121—1581no—
1183#121—1581no—
1184#121—1581no—
1185#121—1581no—
1186#121—1581no—
1187#121—1581no—
1188#121C22×D7911yescharacteristic
1189#121C22×D7911yescharacteristic
1190#121C22×D7911yescharacteristic
1191#121C22×D7911yescharacteristic
1192#120—791no—
1193#120—791no—
1194#120—1581no—
1195#120—1581no—
1196#120—1581no—
1197#120—1581no—
1198C4×Q8—1581no—
1199C4×Q8—1581no—
1200C4×D4—21no—
1201C4×D4—791no—
1202C4×D4—791no—
1203C4×D4—791no—
1204C4×D4—791no—
1205C4×D4—791no—
1206C4×D4—791no—
1207C4×D4—791no—
1208C4×D4—791no—
1209C4×D4—791no—
1210C4×D4—1581no—
1211C4×D4—1581no—
1212C4×D4—1581no—
1213C4×D4—1581no—
1214C4×D4—1581no—
1215C4×D4—1581no—
1216C4×D4—1581no—
1217C4×D4—1581no—
1218C4×D4—1581no—
1219C4×D4—1581no—
1220C4×D4—1581no—
1221C4×D4—1581no—
1222C4×D4—1581no—
1223C4×D4—1581no—
1224C4×D4—1581no—
1225C4×D4—1581no—
1226C4×D4—1581no—
1227C4×D4C22×D7911yescharacteristic
1228C4×D4C22×D7911yescharacteristic
1229C4×D4C22×D7911yescharacteristic
1230#117—21no—
1231#117—791no—
1232#117—791no—
1233#117—791no—
1234#117—791no—
1235#117—791no—
1236#117—791no—
1237#117—791no—
1238#117—791no—
1239#117—791no—
1240#117—791no—
1241#117—1581no—
1242#117—1581no—
1243#117—1581no—
1244#117—1581no—
1245#117—1581no—
1246#117—1581no—
1247#117—1581no—
1248#117C22×D7911yescharacteristic
1249#117C22×D7911yescharacteristic
1250#117C22×D7911yescharacteristic
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4—791no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4—791no—
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4—791no—
1259C2×C4⋊C4—791no—
1260C2×C4⋊C4C22×D7911yescharacteristic
1261C2×C22⋊C4—1581no—
1262C2×C22⋊C4—1581no—
1263C2×C22⋊C4—1581no—
1264C2×C22⋊C4—1581no—
1265C2×C22⋊C4—1581no—
1266C2×C22⋊C4—1581no—
1267C2×C22⋊C4—1581no—
1268C2×C22⋊C4—1581no—
1269C2×C42—1581no—
1270C2×C42—1581no—
1271#107—791no—
1272#107—791no—
1273#107—791no—
1274#107—791no—
1275#107—791no—
1276#107—791no—
1277#107—791no—
1278#107—791no—
1279#107—791no—
1280#107—791no—
1281#107—791no—
1282#107—791no—
1283#107—791no—
1284#107—791no—
1285#107—791no—
1286#107C22×D7911yescharacteristic
1287#107C22×D7911yescharacteristic
1288#107C22×D7911yescharacteristic
1289#107C22×D7911yescharacteristic
1290#107C22×D7911yescharacteristic
1291#106—791no—
1292#106—791no—
1293#106—791no—
1294#106—791no—
1295#106—791no—
1296#106—791no—
1297#106—791no—
1298#106—791no—
1299#106—791no—
1300#106—791no—
1301#106—791no—
1302#106—791no—
1303#106C22×D7911yescharacteristic
1304#106C22×D7911yescharacteristic
1305#106C22×D7911yescharacteristic
1306#106C22×D7911yescharacteristic
1307C4⋊C8—791no—
1308C4⋊C8—791no—
1309C4⋊C8—791no—
1310C4⋊C8C22×D7911yescharacteristic
1311#102—791no—
1312#102—791no—
1313#102—791no—
1314#102—791no—
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102—791no—
1321#102—791no—
1322#102—791no—
1323#102—791no—
1324#102—791no—
1325#102—791no—
1326#102—791no—
1327#102—791no—
1328#102—791no—
1329#102C22×D7911yescharacteristic
1330#102C22×D7911yescharacteristic
1331#102C22×D7911yescharacteristic
1332#102C22×D7911yescharacteristic
1333#102C22×D7911yescharacteristic
1334#102C22×D7911yescharacteristic
1335C22⋊C8—791no—
1336C22⋊C8—791no—
1337C22⋊C8—791no—
1338C22⋊C8—791no—
1339C22⋊C8—791no—
1340C22⋊C8—791no—
1341C22⋊C8C22×D7911yescharacteristic
1342C22⋊C8C22×D7911yescharacteristic
1343#97—791no—
1344#97C22×D7911yescharacteristic
1345C4×C8—791no—
1346C4×C8—791no—
1347C24—791no—
1348C24—1581no—
1349C24—1581no—
1350#41—6322no—
1351#41—6322no—
1352#41—6322no—
1353#41—6322no—
1354#41—1582no—
1355#41—1582no—
1356C2×Q8—21no—
1357C2×Q8—791no—
1358C2×Q8—1581no—
1359C2×Q8—1581no—
1360C2×Q8—1581no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—791no—
1366C2×D4—791no—
1367C2×D4—791no—
1368C2×D4—791no—
1369C2×D4—791no—
1370C2×D4—791no—
1371C2×D4—791no—
1372C2×D4—791no—
1373C2×D4—6322no—
1374C2×D4—6322no—
1375C2×D4—1581no—
1376C2×D4—1581no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1582no—
1380C2×D4—1582no—
1381C2×D4—1582no—
1382C2×D4—1582no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4—1581no—
1386C2×D4—1581no—
1387C2×D4—1581no—
1388C2×D4—1581no—
1389C2×D4—1581no—
1390C2×D4—1581no—
1391C2×D4—1581no—
1392C2×D4—1581no—
1393C2×D4D4×D7911yescharacteristic
1394C2×D4C23×D7911yescharacteristic
1395C2×D4C23×D7911yescharacteristic
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—791no—
1400C22×C4—791no—
1401C22×C4—791no—
1402C22×C4—791no—
1403C22×C4—791no—
1404C22×C4—791no—
1405C22×C4—1581no—
1406C22×C4—1581no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1582no—
1410C22×C4—1582no—
1411C22×C4—1581no—
1412C22×C4—1581no—
1413C22×C4—1581no—
1414C22×C4—1581no—
1415C22×C4—1581no—
1416C22×C4—1581no—
1417C22×C4—1581no—
1418C22×C4—1581no—
1419C22×C4—1581no—
1420C22×C4—1581no—
1421C22×C4—1581no—
1422C22×C4C23×D7911yescharacteristic
1423C22×C4C23×D7911yescharacteristic
1424D8—22no—
1425D8—1582no—
1426D8—1582no—
1427D8—1582no—
1428M16—22no—
1429M16—1582no—
1430M16—1582no—
1431M16—1582no—
1432C2×C8—22no—
1433C2×C8—791no—
1434C2×C8—794no—
1435C2×C8—791no—
1436C2×C8—791no—
1437C2×C8—791no—
1438C2×C8—1582no—
1439C2×C8—1582no—
1440C2×C8—1582no—
1441C2×C8—1582no—
1442C2×C8—1582no—
1443C2×C8—1582no—
1444C2×C8C23×D7911yescharacteristic
1445C2×C8C23×D7911yescharacteristic
1446C2×C8C23×D7911yescharacteristic
1447C2×C8C23×D7911yescharacteristic
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—791no—
1453C4⋊C4—791no—
1454C4⋊C4—791no—
1455C4⋊C4—791no—
1456C4⋊C4—791no—
1457C4⋊C4—791no—
1458C4⋊C4—791no—
1459C4⋊C4—791no—
1460C4⋊C4—791no—
1461C4⋊C4—791no—
1462C4⋊C4—791no—
1463C4⋊C4—1581no—
1464C4⋊C4—1581no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4D4×D7911yescharacteristic
1482C4⋊C4C23×D7911yescharacteristic
1483C4⋊C4C23×D7911yescharacteristic
1484C4⋊C4C23×D7911yescharacteristic
1485C4⋊C4C23×D7911yescharacteristic
1486C4⋊C4C23×D7911yescharacteristic
1487C4⋊C4C23×D7911yescharacteristic
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—791no—
1498C22⋊C4—791no—
1499C22⋊C4—791no—
1500C22⋊C4—791no—
1501C22⋊C4—791no—
1502C22⋊C4—791no—
1503C22⋊C4—791no—
1504C22⋊C4—791no—
1505C22⋊C4—1581no—
1506C22⋊C4—1581no—
1507C22⋊C4—1581no—
1508C22⋊C4—1581no—
1509C22⋊C4—1581no—
1510C22⋊C4—1581no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4D4×D7911yescharacteristic
1533C22⋊C4D4×D7911yescharacteristic
1534C42—21no—
1535C42—21no—
1536C42—21no—
1537C42—791no—
1538C42—1581no—
1539C42—1581no—
1540C42—1581no—
1541C42—1581no—
1542C42—1581no—
1543C42—1581no—
1544C42—1581no—
1545C42—1581no—
1546C42—1581no—
1547C42C23×D7911yescharacteristic
1548C23—21no—
1549C23—21no—
1550C23—3161no—
1551C23—3162no—
1552C23—3162no—
1553C23—791no—
1554C23—791no—
1555C23—791no—
1556C23—6321no—
1557C23—6321no—
1558C23—6321no—
1559C23—6321no—
1560C23—1582no—
1561C23—1582no—
1562C23—1581no—
1563C23—1581no—
1564C23C2×D4×D7911yescharacteristic
1565C23C2×D4×D7911yescharacteristic
1566Q8—81no—
1567Q8—6321no—
1568Q8—6321no—
1569Q8—6321no—
1570Q8—1582no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—3162no—
1581D4—3162no—
1582D4—3162no—
1583D4—3162no—
1584D4—3162no—
1585D4—3162no—
1586D4—3161no—
1587D4—6321no—
1588D4—6321no—
1589D4—6321no—
1590D4—6321no—
1591D4—6321no—
1592D4—6321no—
1593D4—6321no—
1594D4—6321no—
1595D4—1582no—
1596D4—1582no—
1597D4—1582no—
1598D4—1582no—
1599D4—1582no—
1600D4—1581no—
1601D4—1581no—
1602D4—1581no—
1603D4—1581no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—3162no—
1618C2×C4—3162no—
1619C2×C4—791no—
1620C2×C4—792no—
1621C2×C4—792no—
1622C2×C4—791no—
1623C2×C4—791no—
1624C2×C4—791no—
1625C2×C4—791no—
1626C2×C4—6321no—
1627C2×C4—6321no—
1628C2×C4—6321no—
1629C2×C4—6321no—
1630C2×C4—6321no—
1631C2×C4—6321no—
1632C2×C4—6321no—
1633C2×C4—6321no—
1634C2×C4—6321no—
1635C2×C4—6321no—
1636C2×C4—6321no—
1637C2×C4—6321no—
1638C2×C4—6321no—
1639C2×C4—1582no—
1640C2×C4—1582no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1582no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4C2×D4×D7911yescharacteristic
1653C2×C4C2×D4×D7911yescharacteristic
1654C2×C4C2×D4×D7911yescharacteristic
1655C2×C4C2×D4×D7911yescharacteristic
1656C2×C4C24×D7911yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—21no—
1660C8—792no—
1661C8—1581no—
1662C8—1581no—
1663C8—1581no—
1664C8#41×D7912yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—3164no—
1678C22—3161no—
1679C22—3161no—
1680C22—3161no—
1681C22—3161no—
1682C22—3161no—
1683C22—3161no—
1684C22—792no—
1685C22—792no—
1686C22—1581no—
1687C22—1581no—
1688C22—1581no—
1689C22—1581no—
1690C22—1581no—
1691C22—1581no—
1692C22—1581no—
1693C22—12642no—
1694C22—12642no—
1695C22C22×D4×D7911yescharacteristic
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—3161no—
1707C4—3161no—
1708C4—3161no—
1709C4—3161no—
1710C4—3161no—
1711C4—3161no—
1712C4—792no—
1713C4—1581no—
1714C4—1581no—
1715C4—1581no—
1716C4—1581no—
1717C4C2×#41×D7911yescharacteristic
1718C42−1+4×D7911yescharacteristic
1719C2—41no—
1720C2—41no—
1721C2—81no—
1722C2—81no—
1723C2—3161no—
1724C2—6321no—
1725C2—6321no—
1726C2—1582no—
1727C2—1582no—
1728C2#547×D7911yescharacteristic
1729C2#576×D7911yescharacteristic
1730C2#2377817311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3347C2
socleC22×C79C23×D4
hypercenter#3347D79
hypocenterC79#61262
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #23777134C2semidirect
2. #23777128C2semidirect
3. #23775906C2semidirect
4. #23775902C2semidirect
5. #23775896C2semidirect
6. #23775875C2semidirect
7. #23775871C2semidirect
8. #23775869C2semidirect
9. #23775865C2semidirect
10. #23775818C2semidirect
11. #23775817C2semidirect
12. #23775799C2semidirect
13. #23775796C2semidirect
14. #23775795C2semidirect
15. #23775795C2semidirect
16. #23775746C2semidirect
17. #23775742C2semidirect
18. #23773935C2semidirect
19. #23773355C2semidirect
20. #23773351C2semidirect
21. #23773339C2semidirect
22. #23773339C2semidirect
23. #23773228C2semidirect
24. #23773224C2semidirect
25. #23773046C2semidirect
26. #466×D79C2semidirect
27. #23772249C2semidirect
28. #23772091C2semidirect
29. #23771999C2semidirect
30. #427×D79C2semidirect
31. C79×#3347C2semidirect
35. #19099278C22semidirect
36. #19099277C22semidirect
37. #19099276C22semidirect
38. #19099266C22semidirect
39. #19099263C22semidirect
40. #19099260C22semidirect
41. #19099260C22semidirect
42. #19099259C22semidirect
43. #19099257C22semidirect
44. #19099257C22semidirect
49. #19099218C22semidirect
50. #19099216C22semidirect
51. #19099214C22semidirect
52. #19099213C22semidirect
78. #19098972C22semidirect
79. #19098971C22semidirect
80. #19098970C22semidirect
81. #19098967C22semidirect
82. #19098966C22semidirect
83. #19098963C22semidirect
84. #19098962C22semidirect
85. #19098890C22semidirect
86. #19098890C22semidirect
87. #19098888C22semidirect
88. #19098888C22semidirect
89. #19098888C22semidirect
90. #19098887C22semidirect
91. #19098887C22semidirect
92. #19098887C22semidirect
93. #19098885C22semidirect
94. #19098885C22semidirect
95. #19098884C22semidirect
96. #19098884C22semidirect
97. #19098884C22semidirect
98. #19098883C22semidirect
99. #19098883C22semidirect
100. #19098883C22semidirect
101. #19098881C22semidirect
102. #19098880C22semidirect
103. #19098880C22semidirect
104. #19098880C22semidirect
105. #19098879C22semidirect
106. #19098878C22semidirect
107. #19098878C22semidirect
108. #19098878C22semidirect
109. #19098877C22semidirect
110. #19098875C22semidirect
111. #19098875C22semidirect
112. #19098875C22semidirect
113. #19098866C22semidirect
114. #19098866C22semidirect
115. #19098864C22semidirect
116. #19098863C22semidirect
117. #19098861C22semidirect
118. #19098861C22semidirect
119. #19098860C22semidirect
120. #19098853C22semidirect
121. #19098852C22semidirect
122. #19098851C22semidirect
123. #19098850C22semidirect
124. #19098844C22semidirect
125. #19098842C22semidirect
126. #19098841C22semidirect
127. #19098817C22semidirect
128. #19098816C22semidirect
129. #19098813C22semidirect
134. #19098798C22semidirect
135. #19098798C22semidirect
138. #19098797C22semidirect
139. #19098797C22semidirect
141. #19098676C22semidirect
142. #19098675C22semidirect
143. #19098674C22semidirect
144. C4×#11929609C22semidirect
145. C4×#11929609C22semidirect
146. #19098643C22semidirect
147. #19098643C22semidirect
148. #19098636C22semidirect
149. #19098634C22semidirect
150. #19098632C22semidirect
151. D4×C79⋊C8C22semidirect
152. #19098628C22semidirect
153. (C22⋊D79)⋊C8C22semidirect
154. (C22⋊D79)⋊C8C22semidirect
155. #19098605C22semidirect
158. #19098604C22semidirect
161. #19098602C22semidirect
162. #19098601C22semidirect
165. #19098599C22semidirect
166. #19098599C22semidirect
167. #19098599C22semidirect
170. #19098598C22semidirect
171. C2×#14579094C22semidirect
173. #107×D79C22semidirect
174. #107×D79C22semidirect
175. #107×D79C22semidirect
176. #106×D79C22semidirect
177. #106×D79C22semidirect
188. #555×C79C22semidirect
189. #553×C79C22semidirect
190. #501×C79C22semidirect
191. #482×C79C22semidirect
192. #482×C79C22semidirect
193. #482×C79C22semidirect
194. #480×C79C22semidirect
195. #478×C79C22semidirect
196. #474×C79C22semidirect
197. #469×C79C22semidirect
199. #442×C79C22semidirect
200. #435×C79C22semidirect
201. #428×C79C22semidirect
202. #427×C79C22semidirect
561. C8×D79#41semidirect
871. #3347D79semidirect
897. C79#61262semidirect
904. #555C2×D79semidirect
912. #553C2×D79semidirect
949. #501C2×D79semidirect
967. #482C2×D79semidirect
968. #482C2×D79semidirect
969. #482C2×D79semidirect
985. #480C2×D79semidirect
993. #478C2×D79semidirect
1001. #474C2×D79semidirect
1005. #469C2×D79semidirect
1021. #442C2×D79semidirect
1029. #435C2×D79semidirect
1041. #428C2×D79semidirect
1051. #427C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237771342
#237771282
#237759062
#237759022
#237758962
#237758752
#237758712
#237758692
#237758652
#237758182
#237758172
#237757992
#237757962
#237757952
#237757462
#237757422
#237739352
#237733552
#237733512
#237733392
#237732282
#237732242
#237730462
#466×D792
#237722492
#237720912
#237719992
#427×D792
C79×#33472
#6126279