Finite Group Databasebeta

← #35180499

Subgroups — #35180499

Order 20224.

1952 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777354C211yesmaximal, characteristic, complemented
2#23777005C211yesmaximal, characteristic, complemented
3#23776409C211yesmaximal, characteristic, complemented
4#23776391C211yesmaximal, characteristic, complemented
5#23776055C211yesmaximal, characteristic, complemented
6#23776050C211yesmaximal, characteristic, complemented
7#23775302C211yesmaximal, characteristic, complemented
8#23775297C211yesmaximal, characteristic, complemented
9#23775269C211yesmaximal, characteristic, complemented
10#23775252C211yesmaximal, characteristic, complemented
11#23775243C211yesmaximal, characteristic, complemented
12#23775219C211yesmaximal, characteristic, complemented
13#23775105C211yesmaximal, characteristic, complemented
14SD16×C22⋊D79C211yesmaximal, characteristic, complemented
15#23775081C211yesmaximal, characteristic, complemented
16#23775079C211yesmaximal, characteristic, complemented
17#23775070C211yesmaximal, characteristic, complemented
18#23774750C211yesmaximal, characteristic, complemented
19#23774748C211yesmaximal, characteristic, complemented
20#23774721C211yesmaximal, characteristic, complemented
21#23774370C211yesmaximal, characteristic, complemented
22#23774360C211yesmaximal, characteristic, complemented
23#23774331C211yesmaximal, characteristic, complemented
24#23773451C211yesmaximal, characteristic, complemented
25#23773442C211yesmaximal, characteristic, complemented
26#23773419C211yesmaximal, characteristic, complemented
27#23772851C211yesmaximal, characteristic, complemented
28C2×#19098780C211yesmaximal, characteristic, complemented
29#463×D79C211yesmaximal, characteristic, complemented
30#23772507C211yesmaximal, characteristic, complemented
31C79×#3282C211yesmaximal, characteristic, complemented
32C2×#14579181C2211yescharacteristic, complemented
33C2×SD16×D79C2211yescharacteristic, complemented
34C22×#11929609C2211yescharacteristic
35C2×D8×D79C2211yescharacteristic
36#19099295C2211yescharacteristic, complemented
37#19099295C2211yescharacteristic, complemented
38#19099285C2211yescharacteristic, complemented
39#19099275—21no—
40#19099272C2211yescharacteristic, complemented
41#19099271C2211yescharacteristic
42#19099260C2211yescharacteristic, complemented
43#19099259C2211yescharacteristic, complemented
44#19099256—21no—
45#19099242—21no—
46#19099240—21no—
47#19099239—21no—
48#19099236—21no—
49Q8×C22⋊D79C2211yescharacteristic
50#19099223C2211yescharacteristic, complemented
51#19099209C2211yescharacteristic, complemented
52#19099202—21no—
53#19099201C2211yescharacteristic, complemented
54#19099201C2211yescharacteristic, complemented
55#19099200—21no—
56#19099197C2211yescharacteristic
57D4×C22⋊D79C2211yescharacteristic
58#19099183—21no—
59#19099150—21no—
60#19099147—21no—
61#19099109C2211yescharacteristic, complemented
62#19099108C2211yescharacteristic, complemented
63#19099100C2211yescharacteristic, complemented
64#19099099C2211yescharacteristic, complemented
65#19099099C2211yescharacteristic, complemented
66#19099094C2211yescharacteristic, complemented
67#19099092C2211yescharacteristic, complemented
68#19099090—21no—
69C2×#14579150C2211yescharacteristic, complemented
70#124×D79C2211yescharacteristic, complemented
71#19099073—21no—
72#19099069—21no—
73#19099035—21no—
74#41×Dic79C2211yescharacteristic, complemented
75C4×#11929623C2211yescharacteristic
76C2×D4×Dic79C2211yescharacteristic, complemented
77C2×(C22⋊D79)⋊C4—21no—
78C4×D4×D79C2211yescharacteristic, complemented
79#19098948C2211yescharacteristic, complemented
80#19098948C2211yescharacteristic, complemented
81#19098945C2211yescharacteristic, complemented
82#19098938C2211yescharacteristic
83#19098934C2211yescharacteristic, complemented
84#19098919C2211yescharacteristic, complemented
85#19098919C2211yescharacteristic, complemented
86#19098918C2211yescharacteristic, complemented
87#19098917C2211yescharacteristic, complemented
88#19098912C2211yescharacteristic, complemented
89#19098908C2211yescharacteristic, complemented
90#19098901C2211yescharacteristic, complemented
91#19098899C2211yescharacteristic, complemented
92#19098897C2211yescharacteristic, complemented
93#19098888C2211yescharacteristic, complemented
94#19098883C2211yescharacteristic, complemented
95#19098879C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098870C2211yescharacteristic, complemented
98#19098868C2211yescharacteristic, complemented
99#19098865C2211yescharacteristic, complemented
100#19098864C2211yescharacteristic, complemented
101#19098862C2211yescharacteristic, complemented
102#19098861C2211yescharacteristic, complemented
103#19098861C2211yescharacteristic, complemented
104#19098856C2211yescharacteristic, complemented
105#19098852C2211yescharacteristic, complemented
106#19098802C2211yescharacteristic, complemented
107#19098801C2211yescharacteristic, complemented
108#19098799C2211yescharacteristic, complemented
109#19098798C2211yescharacteristic
110#19098797C2211yescharacteristic
111#19098797C2211yescharacteristic, complemented
112#19098795C2211yescharacteristic, complemented
113#19098794C2211yescharacteristic, complemented
114#19098792C2211yescharacteristic, complemented
115#19098789C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098783C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098780C2211yescharacteristic
123#19098780C2211yescharacteristic
124#19098780C2211yescharacteristic, complemented
125#19098780C2211yescharacteristic, complemented
126#19098780C2211yescharacteristic, complemented
127#19098780C2211yescharacteristic, complemented
128#19098780C2211yescharacteristic, complemented
129#19098780C2211yescharacteristic, complemented
130#19098780C2211yescharacteristic, complemented
131#19098779C2211yescharacteristic, complemented
132#19098778C2211yescharacteristic
133#19098777C2211yescharacteristic, complemented
134#19098776C2211yescharacteristic, complemented
135#19098776C2211yescharacteristic, complemented
136#19098775C2211yescharacteristic, complemented
137#19098775C2211yescharacteristic, complemented
138#19098771C2211yescharacteristic, complemented
139#19098766C2211yescharacteristic, complemented
140#19098761C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098757C2211yescharacteristic
143#19098756C2211yescharacteristic
144#19098717C2211yescharacteristic, complemented
145#19098714C2211yescharacteristic, complemented
146#19098713C2211yescharacteristic, complemented
147#19098712C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098710C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic
151#19098708C2211yescharacteristic, complemented
152#19098706C2211yescharacteristic, complemented
153#19098702C2211yescharacteristic, complemented
154#19098700C2211yescharacteristic, complemented
155#19098699C2211yescharacteristic
156#19098698C2211yescharacteristic
157#19098695C2211yescharacteristic
158C8×Dic158C2211yescharacteristic, complemented
159#19098687C2211yescharacteristic, complemented
160Q16×Dic79C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163SD16×Dic79C2211yescharacteristic, complemented
164C4×#11929611C2211yescharacteristic, complemented
165#19098648C2211yescharacteristic, complemented
166C4×D632C2211yescharacteristic, complemented
167D8×Dic79C2211yescharacteristic, complemented
168D8×Dic79C2211yescharacteristic, complemented
169C4×#11929609C2211yescharacteristic, complemented
170#19098643C2211yescharacteristic
171D4×C79⋊C8C2211yescharacteristic, complemented
172C8×C22⋊D79C2211yescharacteristic
173C8×C22⋊D79C2211yescharacteristic, complemented
174(C22⋊D79)⋊C8C2211yescharacteristic
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176#19098614C2211yescharacteristic, complemented
177#19098613C2211yescharacteristic, complemented
178#19098613C2211yescharacteristic, complemented
179C2×Dic79⋊C8C2211yescharacteristic, complemented
180C2×Dic79⋊C8C2211yescharacteristic, complemented
181C4⋊C8×D79C2211yescharacteristic, complemented
182#19098560C2211yescharacteristic, complemented
183#19098559C2211yescharacteristic, complemented
184C2×#14579085C2211yescharacteristic, complemented
185#103×D79C2211yescharacteristic, complemented
186C2×#14579083C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic, complemented
188C2×#135×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190#548×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic, complemented
192#495×C79C2211yescharacteristic, complemented
193#465×C79C2211yescharacteristic, complemented
194#465×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#449×C79C2211yescharacteristic, complemented
200#447×C79C2211yescharacteristic
201C4×SD16×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623D411yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211C2×D4×D79C2311yescharacteristic
212C23×Dic79—21no—
213C22×C4×D79—21no—
214#14579181—42no—
215C2×#11929614C2311yescharacteristic
216C2×#11929613C2311yescharacteristic
217C2×#11929612C2311yescharacteristic
218C2×#11929612C2311yescharacteristic
219C2×#11929611C2311yescharacteristic
220C2×#11929611C2311yescharacteristic
221C2×#11929611C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223SD16×D79—42no—
224C2×D632C2311yescharacteristic
225C2×D632C2311yescharacteristic
226C2×#11929609—42no—
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929609C2311yescharacteristic
231C2×#11929609C2311yescharacteristic
232D8×D79—42no—
233C22×C79⋊C8C2311yescharacteristic
234C22×C79⋊C8C2311yescharacteristic
235C2×C8×D79C2311yescharacteristic
236C2×C8×D79C2311yescharacteristic
237#14579160C2311yescharacteristic
238#14579159—21no—
239#14579159C2311yescharacteristic
240#14579157C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579156—21no—
243#14579156—21no—
244#14579156—21no—
245#14579156—21no—
246#14579156—21no—
247#14579155—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579153C2311yescharacteristic
252#14579152C2311yescharacteristic
253#14579152C2311yescharacteristic
254#14579151—21no—
255#14579150—21no—
256#14579150—21no—
257#14579150C2311yescharacteristic
258#14579150C2311yescharacteristic
259#14579150C2311yescharacteristic
260#14579150C2311yescharacteristic
261#14579150C2311yescharacteristic
262#14579149C2311yescharacteristic
263#14579148C2311yescharacteristic
264#14579147—21no—
265#14579147—21no—
266#14579147—21no—
267#14579147—21no—
268#14579147—21no—
269#14579147—21no—
270#14579146—21no—
271#14579146—21no—
272#14579145—21no—
273#14579145—21no—
274#14579145—21no—
275#14579145—21no—
276#14579144—21no—
277#14579144—21no—
278#14579143—21no—
279#14579143—21no—
280#14579143—21no—
281#14579143—21no—
282#14579142—21no—
283#14579142—21no—
284#14579141—21no—
285#14579140—21no—
286#14579140—21no—
287#14579140C2311yescharacteristic
288#14579139—21no—
289#14579139—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579137—21no—
294#14579137C2311yescharacteristic
295#14579137C2311yescharacteristic
296#14579136C2311yescharacteristic
297#14579135C2311yescharacteristic
298#14579135C2311yescharacteristic
299#14579135C2311yescharacteristic
300#14579134—21no—
301#14579134—21no—
302#14579134—21no—
303#14579133—21no—
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579132—21no—
311#14579132C2311yescharacteristic
312#14579131—21no—
313#14579130—21no—
314#14579129—21no—
315#14579129—21no—
316#14579129—21no—
317#14579129—21no—
318#14579129—21no—
319Q8×Dic79C2311yescharacteristic
320Q8×Dic79C2311yescharacteristic
321Q8×Dic79C2311yescharacteristic
322C4×Dic158C2311yescharacteristic
323#14579126D411yescharacteristic
324#14579126C2311yescharacteristic
325C4×D316—21no—
326C4×D316C2311yescharacteristic
327C4×D316C2311yescharacteristic
328D4×Dic79—21no—
329D4×Dic79—21no—
330D4×Dic79—21no—
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79D411yescharacteristic
334D4×Dic79C2311yescharacteristic
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340#14579123—21no—
341#14579123C2311yescharacteristic
342#14579123C2311yescharacteristic
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79C2311yescharacteristic
348C4×C22⋊D79C2311yescharacteristic
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352(C22⋊D79)⋊C4—21no—
353(C22⋊D79)⋊C4—21no—
354(C22⋊D79)⋊C4—21no—
355(C22⋊D79)⋊C4—21no—
356(C22⋊D79)⋊C4—21no—
357(C22⋊D79)⋊C4—21no—
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4D411yescharacteristic
360(C22⋊D79)⋊C4D411yescharacteristic
361#14579120—21no—
362#14579120C2311yescharacteristic
363#14579119—21no—
364#14579119—21no—
365#14579119D411yescharacteristic
366#14579118—21no—
367#14579118—21no—
368#14579117—21no—
369#14579117—21no—
370#14579117D411yescharacteristic
371#14579117D411yescharacteristic
372C2×C4⋊Dic79C2311yescharacteristic
373C2×Dic79⋊C4—21no—
374C4⋊C4×D79C2311yescharacteristic
375C2×C22⋊Dic79—21no—
376C2×(C2×D79)⋊C4—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×Dic79—21no—
385C2×C4×Dic79C2311yescharacteristic
386C2×C4×Dic79C2311yescharacteristic
387C42×D79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434C4×C79⋊C8C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C2×#41×C79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#135×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×Q16×C79C2311yescharacteristic
446C2×SD16×C79—42no—
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×D8×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456#124×C79—21no—
457#124×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79C2311yescharacteristic
462C22⋊Q8×C79C2311yescharacteristic
463#121×C79—21no—
464#121×C79—21no—
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468C4×Q8×C79C2311yescharacteristic
469C4×D4×C79—21no—
470C4×D4×C79C2311yescharacteristic
471C4×D4×C79C2311yescharacteristic
472C2×C22⋊C4×C79—21no—
473#106×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486C23×D79—21no—
487#11929624—41no—
488#11929624—41no—
489#11929623—24no—
490#11929623—82no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×Dic158C2411yescharacteristic
495Q8×D79—41no—
496Q8×D79—41no—
497C2×D316—21no—
498C2×D316—21no—
499C2×D316—41no—
500C2×D316—41no—
501C2×D316C2411yescharacteristic
502C2×D316C2411yescharacteristic
503C2×D316C2411yescharacteristic
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⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—44no—
516C2×C22⋊D79C2×D411yescharacteristic
517C2×C22⋊D79C2×D411yescharacteristic
518D4×D79—22no—
519D4×D79—41no—
520D4×D79—44no—
521D4×D79—41no—
522D4×D79—41no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—82no—
531C22×Dic79C2×D411yescharacteristic
532C22×Dic79C2×D411yescharacteristic
533C22×Dic79C2×D411yescharacteristic
534C22×Dic79C2×D411yescharacteristic
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79—82no—
543C2×C4×D79C2×D411yescharacteristic
544C2×C4×D79C2×D411yescharacteristic
545C2×C4×D79C2411yescharacteristic
546#11929614—41no—
547#11929613—41no—
548#11929612—22no—
549#11929612—41no—
550#11929611—41no—
551#11929611—41no—
552#11929611—41no—
553#11929611—41no—
554D632—41no—
555D632—41no—
556#11929609—22no—
557#11929609—22no—
558#11929609—41no—
559#11929609—41no—
560#11929609—41no—
561C2×C79⋊C8—41no—
562C2×C79⋊C8—41no—
563C2×C79⋊C8C2411yescharacteristic
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C8×D79—41no—
568C8×D79—41no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79C2×D411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79C2×D411yescharacteristic
608C22⋊Dic79C2×D411yescharacteristic
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)⋊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)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79C2×D411yescharacteristic
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2×D411yescharacteristic
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C24×C79—21no—
648#41×C79—22no—
649#41×C79—41no—
650#41×C79—41no—
651#41×C79—41no—
652C2×Q8×C79—21no—
653C2×Q8×C79—41no—
654C2×Q8×C79—41no—
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×Q8×C79C2411yescharacteristic
658C2×D4×C79—22no—
659C2×D4×C79—21no—
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—21no—
664C2×D4×C79—41no—
665C2×D4×C79C2×D411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79—21no—
673C22×C4×C79C2411yescharacteristic
674C22×C4×C79C2411yescharacteristic
675Q16×C79—41no—
676Q16×C79—41no—
677SD16×C79—22no—
678SD16×C79—22no—
679SD16×C79—41no—
680SD16×C79—41no—
681SD16×C79—41no—
682D8×C79—22no—
683D8×C79—41no—
684C2×C8×C79—41no—
685C2×C8×C79—41no—
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C2×C8×C79C2411yescharacteristic
689C2×C8×C79C2411yescharacteristic
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79—21no—
693C4⋊C4×C79C2×D411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79—21no—
703C22⋊C4×C79—21no—
704C22⋊C4×C79—21no—
705C22⋊C4×C79C2×D411yescharacteristic
706C22⋊C4×C79C2×D411yescharacteristic
707C42×C79—21no—
708C42×C79C2411yescharacteristic
709C23×C79—21no—
710C23×C79—21no—
711C23×C79—21no—
712C23×C79—42no—
713C23×C79—42no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C23×C79C22×D411yescharacteristic
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—42no—
721C22×D79—42no—
722C22×D79—42no—
723C22×D79—42no—
724C22×D79—81no—
725C22×D79—81no—
726C22×D79—81no—
727C22×D79—81no—
728C22×D79—81no—
729C22×D79C22×D411yescharacteristic
730Q8×C79—21no—
731Q8×C79—21no—
732Q8×C79—21no—
733Q8×C79—21no—
734Q8×C79—21no—
735Q8×C79—21no—
736Q8×C79—81no—
737D4×C79—22no—
738D4×C79—21no—
739D4×C79—21no—
740D4×C79—21no—
741D4×C79—21no—
742D4×C79—21no—
743D4×C79—42no—
744D4×C79—42no—
745D4×C79—42no—
746D4×C79—81no—
747D4×C79—81no—
748D4×C79H(5,𝔽2)12yes—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—42no—
759C2×C4×C79—81no—
760C2×C4×C79—81no—
761C2×C4×C79—81no—
762C2×C4×C79C22×D411yescharacteristic
763C2×C4×C79C22×D411yescharacteristic
764C2×C4×C79C22×D411yescharacteristic
765C2×C4×C79C22×D411yescharacteristic
766C2×C4×C79C2511yescharacteristic
767C22⋊D79—22no—
768C22⋊D79—42no—
769C22⋊D79—42no—
770C22⋊D79—42no—
771C22⋊D79—42no—
772C22⋊D79—42no—
773C22⋊D79—81no—
774C22⋊D79—81no—
775C22⋊D79—81no—
776C22⋊D79—81no—
777C22⋊D79—81no—
778C22⋊D79—81no—
779C22⋊D79#13514yescomplemented
780C2×Dic79—22no—
781C2×Dic79—22no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—21no—
785C2×Dic79—21no—
786C2×Dic79—21no—
787C2×Dic79—41no—
788C2×Dic79—41no—
789C2×Dic79—42no—
790C2×Dic79—42no—
791C2×Dic79—42no—
792C2×Dic79—81no—
793C2×Dic79—81no—
794C2×Dic79—81no—
795C2×Dic79—81no—
796C2×Dic79C22×D411yescharacteristic
797C2×Dic79C22×D411yescharacteristic
798C2×Dic79C22×D411yescharacteristic
799C2×Dic79C22×D411yescharacteristic
800C2×Dic79C22×D411yescharacteristic
801C2×Dic79C22×D411yescharacteristic
802C2×Dic79C22×D411yescharacteristic
803D316—21no—
804D316—21no—
805D316—21no—
806D316—21no—
807D316—21no—
808D316—21no—
809D316—42no—
810D316—81no—
811C4×D79—22no—
812C4×D79—21no—
813C4×D79—21no—
814C4×D79—41no—
815C4×D79—42no—
816C4×D79—42no—
817C4×D79—81no—
818C4×D79—81no—
819C4×D79—81no—
820C4×D79—81no—
821C4×D79—81no—
822Dic158—22no—
823Dic158—21no—
824Dic158—21no—
825Dic158—81no—
826Dic158—81no—
827C8×C79—21no—
828C8×C79—21no—
829C8×C79—21no—
830C8×C79—21no—
831C79⋊C8—21no—
832C79⋊C8—21no—
833C79⋊C8—21no—
834C79⋊C8—21no—
835C22×C79—21no—
836C22×C79—21no—
837C22×C79—21no—
838C22×C79—22no—
839C22×C79—21no—
840C22×C79—21no—
841C22×C79—41no—
842C22×C79—41no—
843C22×C79—41no—
844C22×C79—41no—
845C22×C79—41no—
846C22×C79—41no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—84no—
850C22×C79C2×#13512yes—
851C22×C79C23×D411yescharacteristic
852C2×D79—21no—
853C2×D79—21no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—84no—
864C2×D79—162no—
865C2×D79—162no—
866C2×D79C2×#13512yes—
867C4×C79—21no—
868C4×C79—21no—
869C4×C79—21no—
870C4×C79—21no—
871C4×C79—41no—
872C4×C79—41no—
873C4×C79—41no—
874C4×C79—41no—
875C4×C79—41no—
876C4×C79C2×H(5,𝔽2)11yescharacteristic
877C4×C79#58511yescharacteristic
878Dic79—21no—
879Dic79—21no—
880Dic79—21no—
881Dic79—21no—
882Dic79—21no—
883Dic79—21no—
884Dic79—41no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79C2×#13512yes—
890#61955—791nomaximal, Sylow
891C2×C79—22no—
892C2×C79—42no—
893C2×C79—41no—
894C2×C79—81no—
895C2×C79—81no—
896C2×C79#348811yescharacteristic
897C2×C79C22×#13511yescharacteristic
898C2×C79#358511yescharacteristic
899D79—22no—
900D79—81no—
901D79—81no—
902D79—81no—
903#3514—791no—
904#3481—791no—
905#3396—791no—
906#3394—791no—
907#3361—791no—
908#3360—791no—
909#3301—791no—
910#3301—791no—
911#3299—791no—
912#3297—791no—
913#3297—791no—
914#3295—791no—
915#3282—791no—
916#3282D7911yescharacteristic, complemented
917D4×SD16—791no—
918#3280—791no—
919#3280—791no—
920D4×D8—791no—
921#3250—791no—
922#3250—791no—
923#3247—791no—
924#3211—791no—
925#3211—791no—
926#3207—791no—
927#3105—791no—
928#3105—791no—
929#3102—791no—
930#3035—791no—
931C2×#463—791no—
932C2×#463—791no—
933#2988—791no—
934C79#6195511yescharacteristic, complemented, Sylow
935C2×#135—791no—
936C2×#135C2×D7911yescharacteristic, complemented
937C22×SD16—791no—
938C22×SD16C2×D7911yescharacteristic, complemented
939C22×D8—791no—
940C22×D8—791no—
941#559—791no—
942#559—791no—
943#556—791no—
944#555—1581no—
945#554—791no—
946#554—791no—
947#553—791no—
948#553—791no—
949#553—1581no—
950#551—1581no—
951#551—1581no—
952#551—1581no—
953#551—1581no—
954D4×Q8—791no—
955#548—791no—
956#548C2×D7911yescharacteristic, complemented
957#546—791no—
958#546—791no—
959#546—791no—
960#546—1581no—
961#546—1581no—
962#546C2×D7911yescharacteristic, complemented
963D42—791no—
964D42—791no—
965#542—1581no—
966#538—1581no—
967#538—1581no—
968#532—791no—
969#532—791no—
970#529—791no—
971#529—791no—
972#529—791no—
973#529—791no—
974#529—791no—
975#529—1581no—
976C2×#124—791no—
977C2×#124—791no—
978#525—1581no—
979#525—1581no—
980#518—1581no—
981C4×#41—791no—
982C4×#41—791no—
983C2×C4×D4—791no—
984C2×C4×D4—791no—
985C2×C4×D4—1581no—
986#495—791no—
987#495—791no—
988#495—791no—
989#495C2×D7911yescharacteristic, complemented
990#493—791no—
991#492—791no—
992#488—791no—
993#488—791no—
994#488—791no—
995#488—791no—
996#487—791no—
997#486—791no—
998#485—791no—
999#484—791no—
1000#484—791no—
1001#482—791no—
1002#481—791no—
1003#481—791no—
1004#479—791no—
1005#479—791no—
1006#479—791no—
1007#478—791no—
1008#478—791no—
1009#478—791no—
1010#478—791no—
1011#478—791no—
1012#477—791no—
1013#476—791no—
1014#467—791no—
1015#467—791no—
1016#466—791no—
1017#466—791no—
1018#466—791no—
1019#466—791no—
1020#465—791no—
1021#465—791no—
1022#465—791no—
1023#465—791no—
1024#465C2×D7911yescharacteristic, complemented
1025#465C2×D7911yescharacteristic, complemented
1026#464—791no—
1027#464—791no—
1028#464—791no—
1029#464—791no—
1030#464C2×D7911yescharacteristic, complemented
1031#463—791no—
1032#463—791no—
1033#463—791no—
1034#463—791no—
1035#463—791no—
1036#463—791no—
1037#463—791no—
1038#463—791no—
1039#463—791no—
1040#463—791no—
1041#463—791no—
1042#463—791no—
1043#463—791no—
1044#463—791no—
1045#463—791no—
1046#463—791no—
1047#463—791no—
1048#463—791no—
1049#463C2×D7911yescharacteristic, complemented
1050#462—791no—
1051#461—791no—
1052#460—791no—
1053#460—791no—
1054#459—791no—
1055#459—791no—
1056#452C2×D7911yescharacteristic, complemented
1057#451—791no—
1058#451C2×D7911yescharacteristic, complemented
1059#450—791no—
1060#450—791no—
1061#450—791no—
1062#450—791no—
1063#449—791no—
1064#449—791no—
1065#449—791no—
1066#449—791no—
1067#449C2×D7911yescharacteristic, complemented
1068#448—791no—
1069#448—791no—
1070#447—791no—
1071#447—791no—
1072#447—791no—
1073#447C2×D7911yescharacteristic
1074C8×Q8—791no—
1075C8×Q8—791no—
1076C4×Q16—791no—
1077C4×SD16—791no—
1078C4×SD16—791no—
1079C4×SD16—791no—
1080C4×SD16—791no—
1081C4×SD16—791no—
1082C4×SD16C2×D7911yescharacteristic, complemented
1083C4×D8—791no—
1084C4×D8—791no—
1085C4×D8—791no—
1086C4×D8—791no—
1087C4×D8—791no—
1088C8×D4—791no—
1089C8×D4—791no—
1090C8×D4—791no—
1091C8×D4—791no—
1092C8×D4—791no—
1093C8×D4C2×D7911yescharacteristic, complemented
1094#431—791no—
1095#431—791no—
1096#431—791no—
1097C2×C4⋊C8—791no—
1098C2×C4⋊C8—791no—
1099C2×C4⋊C8—791no—
1100#416—791no—
1101#416—791no—
1102C2×#103—791no—
1103C2×#103—791no—
1104C2×#102—791no—
1105C2×#102—791no—
1106C2×#41—791no—
1107C2×#41—791no—
1108C2×#41—1581no—
1109C2×#41C22×D7911yescharacteristic
1110C2×#41C22×D7911yescharacteristic
1111C22×Q8—791no—
1112C22×Q8C22×D7911yescharacteristic
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—1581no—
1117C22×D4—1581no—
1118C22×D4C22×D7911yescharacteristic
1119C23×C4—1581no—
1120C23×C4—1581no—
1121#135—42no—
1122#135—3162no—
1123C2×Q16—791no—
1124C2×Q16C22×D7911yescharacteristic
1125C2×Q16C22×D7911yescharacteristic
1126C2×SD16—42no—
1127C2×SD16—3162no—
1128C2×SD16—791no—
1129C2×SD16—791no—
1130C2×SD16—791no—
1131C2×SD16—791no—
1132C2×SD16—791no—
1133C2×SD16—791no—
1134C2×SD16—791no—
1135C2×SD16C22×D7911yescharacteristic
1136C2×SD16C22×D7911yescharacteristic
1137C2×SD16C22×D7911yescharacteristic
1138C2×SD16C22×D7911yescharacteristic
1139C2×SD16C22×D7911yescharacteristic
1140C2×D8—3162no—
1141C2×D8—3162no—
1142C2×D8—791no—
1143C2×D8—791no—
1144C2×D8—791no—
1145C2×D8—791no—
1146C2×D8—791no—
1147C2×D8—791no—
1148C2×D8—791no—
1149C2×D8C22×D7911yescharacteristic
1150C2×D8C22×D7911yescharacteristic
1151C22×C8—791no—
1152C22×C8—791no—
1153C22×C8—791no—
1154C22×C8—791no—
1155C22×C8C22×D7911yescharacteristic
1156C22×C8C22×D7911yescharacteristic
1157C4⋊Q8—791no—
1158C4⋊Q8—791no—
1159C4⋊Q8—1581no—
1160#127—791no—
1161#127—791no—
1162#126—1581no—
1163#126—1581no—
1164#126—1581no—
1165#126—1581no—
1166#126—1581no—
1167#126—1581no—
1168#126—1581no—
1169#126—1581no—
1170#126—1581no—
1171#125—791no—
1172#125—791no—
1173#125—791no—
1174#125—1581no—
1175#124—21no—
1176#124—791no—
1177#124—791no—
1178#124—791no—
1179#124—791no—
1180#124—791no—
1181#124—791no—
1182#124—791no—
1183#124—1581no—
1184#124—1581no—
1185#124—1581no—
1186#124—1581no—
1187#124—1581no—
1188#124—1581no—
1189#124—1581no—
1190#124—1581no—
1191#124C22×D7911yescharacteristic
1192#124C22×D7911yescharacteristic
1193#123—21no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198#123—1581no—
1199#123—1581no—
1200#123—1581no—
1201#123—1581no—
1202#123—1581no—
1203#123—1581no—
1204#123—1581no—
1205#123—1581no—
1206#123—1581no—
1207#123—1581no—
1208C22⋊Q8—21no—
1209C22⋊Q8—791no—
1210C22⋊Q8—791no—
1211C22⋊Q8—791no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8C22×D7911yescharacteristic
1222C22⋊Q8C22×D7911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—791no—
1226#121—791no—
1227#121—791no—
1228#121—791no—
1229#121—791no—
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#121C22×D7911yescharacteristic
1242#121C22×D7911yescharacteristic
1243#120—21no—
1244#120—1581no—
1245#120—1581no—
1246#120—1581no—
1247#120—1581no—
1248#120—1581no—
1249#120—1581no—
1250#120—1581no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—791no—
1257C4×Q8C22×D7911yescharacteristic
1258C4×D4—21no—
1259C4×D4—791no—
1260C4×D4—791no—
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—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4—1581no—
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×D4C22×D7911yescharacteristic
1296C4×D4C22×D7911yescharacteristic
1297#117—791no—
1298#117—791no—
1299#117—791no—
1300#117—791no—
1301#117—1581no—
1302#117—1581no—
1303#117—1581no—
1304#117—1581no—
1305#117—1581no—
1306#117—1581no—
1307#117—1581no—
1308C2×C4⋊C4—791no—
1309C2×C4⋊C4—791no—
1310C2×C4⋊C4—1581no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—1581no—
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×C42—791no—
1322C2×C42—791no—
1323C2×C42—791no—
1324C2×C42—1581no—
1325#107—791no—
1326#107—791no—
1327#107—791no—
1328#107—791no—
1329#106—791no—
1330#106—791no—
1331#106—791no—
1332#106C22×D7911yescharacteristic
1333C4⋊C8—791no—
1334C4⋊C8—791no—
1335C4⋊C8—791no—
1336C4⋊C8—791no—
1337C4⋊C8—791no—
1338C4⋊C8—791no—
1339C4⋊C8—791no—
1340C4⋊C8—791no—
1341C4⋊C8—791no—
1342C4⋊C8C22×D7911yescharacteristic
1343#103—791no—
1344#103—791no—
1345#103—791no—
1346#103—791no—
1347#103—791no—
1348#103—791no—
1349#103—791no—
1350#103—791no—
1351#103—791no—
1352#103—791no—
1353#103—791no—
1354#103C22×D7911yescharacteristic
1355#103C22×D7911yescharacteristic
1356#103C22×D7911yescharacteristic
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#102—791no—
1369#102—791no—
1370#102—791no—
1371#102—791no—
1372#102C22×D7911yescharacteristic
1373#102C22×D7911yescharacteristic
1374#102C22×D7911yescharacteristic
1375C22⋊C8—791no—
1376C22⋊C8—791no—
1377C22⋊C8—791no—
1378C22⋊C8—791no—
1379C22⋊C8C22×D7911yescharacteristic
1380C22⋊C8C22×D7911yescharacteristic
1381C4×C8—791no—
1382C4×C8—791no—
1383C4×C8—791no—
1384C4×C8—791no—
1385C4×C8—791no—
1386C4×C8C22×D7911yescharacteristic
1387C24—21no—
1388C24—1581no—
1389C24—1581no—
1390C24—1581no—
1391#41—22no—
1392#41—41no—
1393#41—41no—
1394#41—41no—
1395#41—3161no—
1396#41—3161no—
1397#41—6322no—
1398#41—1584no—
1399C2×Q8—21no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—3161no—
1403C2×Q8—3161no—
1404C2×Q8—791no—
1405C2×Q8—791no—
1406C2×Q8—1581no—
1407C2×Q8—1581no—
1408C2×Q8C23×D7911yescharacteristic
1409C2×Q8C23×D7911yescharacteristic
1410C2×Q8C23×D7911yescharacteristic
1411C2×D4—22no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—41no—
1418C2×D4—3161no—
1419C2×D4—3161no—
1420C2×D4—3164no—
1421C2×D4—3164no—
1422C2×D4—3161no—
1423C2×D4—3161no—
1424C2×D4—3161no—
1425C2×D4—791no—
1426C2×D4—791no—
1427C2×D4—791no—
1428C2×D4—791no—
1429C2×D4—791no—
1430C2×D4—1581no—
1431C2×D4—1581no—
1432C2×D4—1581no—
1433C2×D4—1581no—
1434C2×D4—1581no—
1435C2×D4—1581no—
1436C2×D4—1581no—
1437C2×D4—1581no—
1438C2×D4—1581no—
1439C2×D4—1582no—
1440C2×D4—1581no—
1441C2×D4—1581no—
1442C2×D4—1581no—
1443C2×D4—1581no—
1444C2×D4D4×D7911yescharacteristic
1445C2×D4C23×D7911yescharacteristic
1446C2×D4C23×D7911yescharacteristic
1447C2×D4C23×D7911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—791no—
1453C22×C4—791no—
1454C22×C4—791no—
1455C22×C4—791no—
1456C22×C4—791no—
1457C22×C4—791no—
1458C22×C4—791no—
1459C22×C4—6322no—
1460C22×C4—6322no—
1461C22×C4—1581no—
1462C22×C4—1581no—
1463C22×C4—1581no—
1464C22×C4—1581no—
1465C22×C4—1581no—
1466C22×C4—1581no—
1467C22×C4—1581no—
1468C22×C4—1581no—
1469C22×C4—1581no—
1470C22×C4—1581no—
1471C22×C4—1581no—
1472C22×C4—1581no—
1473C22×C4—1581no—
1474C22×C4—1581no—
1475C22×C4C23×D7911yescharacteristic
1476C22×C4C23×D7911yescharacteristic
1477Q16—41no—
1478Q16—41no—
1479Q16—3161no—
1480SD16—22no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—3161no—
1486SD16—3161no—
1487SD16—3161no—
1488SD16—3161no—
1489SD16—3161no—
1490SD16—3161no—
1491SD16—1582no—
1492D8—22no—
1493D8—41no—
1494D8—3161no—
1495D8—3161no—
1496D8—3161no—
1497D8—3161no—
1498D8—3161no—
1499D8—1582no—
1500D8—1582no—
1501C2×C8—41no—
1502C2×C8—41no—
1503C2×C8—3161no—
1504C2×C8—3161no—
1505C2×C8—3161no—
1506C2×C8—3161no—
1507C2×C8—791no—
1508C2×C8—791no—
1509C2×C8—791no—
1510C2×C8—791no—
1511C2×C8C23×D7911yescharacteristic
1512C2×C8C23×D7911yescharacteristic
1513C2×C8C23×D7911yescharacteristic
1514C2×C8C23×D7911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—791no—
1519C4⋊C4—791no—
1520C4⋊C4—791no—
1521C4⋊C4—791no—
1522C4⋊C4—791no—
1523C4⋊C4—791no—
1524C4⋊C4—791no—
1525C4⋊C4—791no—
1526C4⋊C4—791no—
1527C4⋊C4—1581no—
1528C4⋊C4—1581no—
1529C4⋊C4—1581no—
1530C4⋊C4—1581no—
1531C4⋊C4—1581no—
1532C4⋊C4—1581no—
1533C4⋊C4—1581no—
1534C4⋊C4—1581no—
1535C4⋊C4—1581no—
1536C4⋊C4—1581no—
1537C4⋊C4—1581no—
1538C4⋊C4—1581no—
1539C4⋊C4—1581no—
1540C4⋊C4—1581no—
1541C4⋊C4—1581no—
1542C4⋊C4—1581no—
1543C4⋊C4—1581no—
1544C4⋊C4—1581no—
1545C4⋊C4D4×D7911yescharacteristic
1546C4⋊C4C23×D7911yescharacteristic
1547C4⋊C4C23×D7911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—791no—
1558C22⋊C4—791no—
1559C22⋊C4—791no—
1560C22⋊C4—791no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4—1581no—
1569C22⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1595C22⋊C4D4×D7911yescharacteristic
1596C42—21no—
1597C42—791no—
1598C42—791no—
1599C42—791no—
1600C42—791no—
1601C42—791no—
1602C42—791no—
1603C42—791no—
1604C42—791no—
1605C42—791no—
1606C42—1581no—
1607C42—1581no—
1608C42—1581no—
1609C42—1581no—
1610C42—1581no—
1611C42C23×D7911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—42no—
1617C23—81no—
1618C23—3162no—
1619C23—3162no—
1620C23—3162no—
1621C23—3162no—
1622C23—791no—
1623C23—6321no—
1624C23—6321no—
1625C23—6321no—
1626C23—6321no—
1627C23—6321no—
1628C23—1581no—
1629C23—1581no—
1630C23—1581no—
1631C23C2×D4×D7911yescharacteristic
1632C23C2×D4×D7911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—21no—
1638Q8—21no—
1639Q8—81no—
1640Q8—6321no—
1641Q8—6321no—
1642Q8—1582no—
1643Q8—1581no—
1644Q8—1581no—
1645D4—22no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—42no—
1652D4—42no—
1653D4—42no—
1654D4—81no—
1655D4—81no—
1656D4—3162no—
1657D4—3162no—
1658D4—3162no—
1659D4—3162no—
1660D4—3162no—
1661D4—3162no—
1662D4—794no—
1663D4—6321no—
1664D4—6321no—
1665D4—6321no—
1666D4—6321no—
1667D4—6321no—
1668D4—6321no—
1669D4—6321no—
1670D4—1582no—
1671D4—1581no—
1672D4—1581no—
1673D4—1581no—
1674D4—1581no—
1675D4—1581no—
1676D4—1581no—
1677D4#1457920612yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—42no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—3161no—
1692C2×C4—3162no—
1693C2×C4—3162no—
1694C2×C4—3162no—
1695C2×C4—3162no—
1696C2×C4—3162no—
1697C2×C4—3161no—
1698C2×C4—3161no—
1699C2×C4—791no—
1700C2×C4—791no—
1701C2×C4—791no—
1702C2×C4—791no—
1703C2×C4—791no—
1704C2×C4—791no—
1705C2×C4—791no—
1706C2×C4—6321no—
1707C2×C4—6321no—
1708C2×C4—6321no—
1709C2×C4—6321no—
1710C2×C4—6321no—
1711C2×C4—6321no—
1712C2×C4—6321no—
1713C2×C4—6321no—
1714C2×C4—6321no—
1715C2×C4—1582no—
1716C2×C4—1581no—
1717C2×C4—1581no—
1718C2×C4—1581no—
1719C2×C4—1581no—
1720C2×C4—1581no—
1721C2×C4—1582no—
1722C2×C4—1582no—
1723C2×C4—1581no—
1724C2×C4—1581no—
1725C2×C4C2×D4×D7911yescharacteristic
1726C2×C4C2×D4×D7911yescharacteristic
1727C2×C4C2×D4×D7911yescharacteristic
1728C2×C4C2×D4×D7911yescharacteristic
1729C2×C4C24×D7911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1581no—
1735C8—1581no—
1736C8—1581no—
1737C8—1581no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—22no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—84no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—3161no—
1761C22—3161no—
1762C22—792no—
1763C22—6324no—
1764C22—1581no—
1765C22—1581no—
1766C22—12642no—
1767C22—12642no—
1768C22#135×D7912yes—
1769C22C22×D4×D7911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—3161no—
1780C4—3161no—
1781C4—3161no—
1782C4—3161no—
1783C4—3161no—
1784C4—792no—
1785C4—1581no—
1786C4—1581no—
1787C4—1581no—
1788C4—1581no—
1789C4—1581no—
1790C4—1581no—
1791C4C2×#1457920611yescharacteristic
1792C4#1909939811yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—6321no—
1799C2—6321no—
1800C2—6321no—
1801C2—1582no—
1802C2#2377706011yescharacteristic
1803C2C2×#135×D7911yescharacteristic
1804C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3282C2
socleC22×C79C23×D4
hypercenter#3282D79
hypocenterC79#61955
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #23777354C2semidirect
2. #23777005C2semidirect
3. #23776409C2semidirect
4. #23776391C2semidirect
5. #23776055C2semidirect
6. #23776050C2semidirect
7. #23775302C2semidirect
8. #23775297C2semidirect
9. #23775269C2semidirect
10. #23775252C2semidirect
11. #23775243C2semidirect
12. #23775219C2semidirect
13. #23775105C2semidirect
14. SD16×C22⋊D79C2semidirect
15. #23775081C2semidirect
16. #23775079C2semidirect
17. #23775070C2semidirect
18. #23774750C2semidirect
19. #23774748C2semidirect
20. #23774721C2semidirect
21. #23774370C2semidirect
22. #23774360C2semidirect
23. #23774331C2semidirect
24. #23773451C2semidirect
25. #23773442C2semidirect
26. #23773419C2semidirect
27. #23772851C2semidirect
28. C2×#19098780C2semidirect
29. #463×D79C2semidirect
30. #23772507C2semidirect
31. C79×#3282C2semidirect
32. C2×#14579181C22semidirect
33. C2×SD16×D79C22semidirect
36. #19099295C22semidirect
37. #19099295C22semidirect
38. #19099285C22semidirect
40. #19099272C22semidirect
42. #19099260C22semidirect
43. #19099259C22semidirect
50. #19099223C22semidirect
51. #19099209C22semidirect
53. #19099201C22semidirect
54. #19099201C22semidirect
61. #19099109C22semidirect
62. #19099108C22semidirect
63. #19099100C22semidirect
64. #19099099C22semidirect
65. #19099099C22semidirect
66. #19099094C22semidirect
67. #19099092C22semidirect
69. C2×#14579150C22semidirect
70. #124×D79C22semidirect
74. #41×Dic79C22semidirect
76. C2×D4×Dic79C22semidirect
78. C4×D4×D79C22semidirect
79. #19098948C22semidirect
80. #19098948C22semidirect
81. #19098945C22semidirect
83. #19098934C22semidirect
84. #19098919C22semidirect
85. #19098919C22semidirect
86. #19098918C22semidirect
87. #19098917C22semidirect
88. #19098912C22semidirect
89. #19098908C22semidirect
90. #19098901C22semidirect
91. #19098899C22semidirect
92. #19098897C22semidirect
93. #19098888C22semidirect
94. #19098883C22semidirect
95. #19098879C22semidirect
96. #19098873C22semidirect
97. #19098870C22semidirect
98. #19098868C22semidirect
99. #19098865C22semidirect
100. #19098864C22semidirect
101. #19098862C22semidirect
102. #19098861C22semidirect
103. #19098861C22semidirect
104. #19098856C22semidirect
105. #19098852C22semidirect
106. #19098802C22semidirect
107. #19098801C22semidirect
108. #19098799C22semidirect
111. #19098797C22semidirect
112. #19098795C22semidirect
113. #19098794C22semidirect
114. #19098792C22semidirect
115. #19098789C22semidirect
116. #19098788C22semidirect
117. #19098787C22semidirect
118. #19098787C22semidirect
119. #19098783C22semidirect
120. #19098781C22semidirect
121. #19098781C22semidirect
124. #19098780C22semidirect
125. #19098780C22semidirect
126. #19098780C22semidirect
127. #19098780C22semidirect
128. #19098780C22semidirect
129. #19098780C22semidirect
130. #19098780C22semidirect
131. #19098779C22semidirect
133. #19098777C22semidirect
134. #19098776C22semidirect
135. #19098776C22semidirect
136. #19098775C22semidirect
137. #19098775C22semidirect
138. #19098771C22semidirect
139. #19098766C22semidirect
140. #19098761C22semidirect
141. #19098761C22semidirect
144. #19098717C22semidirect
145. #19098714C22semidirect
146. #19098713C22semidirect
147. #19098712C22semidirect
148. #19098712C22semidirect
149. #19098710C22semidirect
151. #19098708C22semidirect
152. #19098706C22semidirect
153. #19098702C22semidirect
154. #19098700C22semidirect
158. C8×Dic158C22semidirect
159. #19098687C22semidirect
160. Q16×Dic79C22semidirect
161. #19098654C22semidirect
162. #19098654C22semidirect
163. SD16×Dic79C22semidirect
164. C4×#11929611C22semidirect
165. #19098648C22semidirect
166. C4×D632C22semidirect
167. D8×Dic79C22semidirect
168. D8×Dic79C22semidirect
169. C4×#11929609C22semidirect
171. D4×C79⋊C8C22semidirect
173. C8×C22⋊D79C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. #19098614C22semidirect
177. #19098613C22semidirect
178. #19098613C22semidirect
179. C2×Dic79⋊C8C22semidirect
180. C2×Dic79⋊C8C22semidirect
181. C4⋊C8×D79C22semidirect
182. #19098560C22semidirect
183. #19098559C22semidirect
184. C2×#14579085C22semidirect
185. #103×D79C22semidirect
186. C2×#14579083C22semidirect
187. #102×D79C22semidirect
188. C2×#135×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. #548×C79C22semidirect
191. #546×C79C22semidirect
192. #495×C79C22semidirect
193. #465×C79C22semidirect
194. #465×C79C22semidirect
195. #464×C79C22semidirect
196. #463×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #449×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. C8×D4×C79C22semidirect
779. C22⋊D79#135semidirect
916. #3282D79semidirect
934. C79#61955semidirect
936. C2×#135C2×D79semidirect
938. C22×SD16C2×D79semidirect
956. #548C2×D79semidirect
962. #546C2×D79semidirect
989. #495C2×D79semidirect
1024. #465C2×D79semidirect
1025. #465C2×D79semidirect
1030. #464C2×D79semidirect
1049. #463C2×D79semidirect
1056. #452C2×D79semidirect
1058. #451C2×D79semidirect
1067. #449C2×D79semidirect
1082. C4×SD16C2×D79semidirect
1093. C8×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237773542
#237770052
#237764092
#237763912
#237760552
#237760502
#237753022
#237752972
#237752692
#237752522
#237752432
#237752192
#237751052
SD16×C22⋊D792
#237750812
#237750792
#237750702
#237747502
#237747482
#237747212
#237743702
#237743602
#237743312
#237734512
#237734422
#237734192
#237728512
C2×#190987802
#463×D792
#237725072
C79×#32822
#6195579