Finite Group Databasebeta

← #35173285

Subgroups — #35173285

Order 20224.

2258 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777229C211yesmaximal, characteristic, complemented
2#546×D79C211yesmaximal, characteristic, complemented
3#23775615C211yesmaximal, characteristic, complemented
4#23775614C211yesmaximal, characteristic, complemented
5#23775613C211yesmaximal, characteristic, complemented
6#23775612C211yesmaximal, characteristic, complemented
7#23775604C211yesmaximal, characteristic, complemented
8#23775602C211yesmaximal, characteristic, complemented
9#23775595C211yesmaximal, characteristic, complemented
10#23775038C211yesmaximal, characteristic, complemented
11#23775036C211yesmaximal, characteristic, complemented
12#23775029C211yesmaximal, characteristic, complemented
13#23775027C211yesmaximal, characteristic, complemented
14#23775011C211yesmaximal, characteristic, complemented
15#23775010C211yesmaximal, characteristic, complemented
16#23775008C211yesmaximal, characteristic, complemented
17#23775006C211yesmaximal, characteristic, complemented
18#23774366C211yesmaximal, characteristic, complemented
19#23774363C211yesmaximal, characteristic, complemented
20#23774234C211yesmaximal, characteristic, complemented
21#23774225C211yesmaximal, characteristic, complemented
22#23774208C211yesmaximal, characteristic, complemented
23#23774196C211yesmaximal, characteristic, complemented
24#23773452C211yesmaximal, characteristic, complemented
25#23773445C211yesmaximal, characteristic, complemented
26#23772661C211yesmaximal, characteristic, complemented
27#23772649C211yesmaximal, characteristic, complemented
28#23772629C211yesmaximal, characteristic, complemented
29#23772624C211yesmaximal, characteristic, complemented
30#23772438C211yesmaximal, characteristic, complemented
31C79×#3322C211yesmaximal, characteristic, complemented
32C2×#41×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic, complemented
34C2×#14579194C2211yescharacteristic, complemented
35C2×#14579191C2211yescharacteristic, complemented
36C2×#14579189C2211yescharacteristic, complemented
37C2×#14579188C2211yescharacteristic, complemented
38C2×#14579187C2211yescharacteristic, complemented
39C2×#14579185C2211yescharacteristic, complemented
40C2×#14579185C2211yescharacteristic, complemented
41C2×#14579185C2211yescharacteristic, complemented
42#19099265—21no—
43#19099261C2211yescharacteristic, complemented
44#19099259—21no—
45#19099252C2211yescharacteristic, complemented
46#19099251C2211yescharacteristic, complemented
47#19099238—21no—
48#19099236—21no—
49#19099222C2211yescharacteristic, complemented
50#19099219C2211yescharacteristic, complemented
51#19099210C2211yescharacteristic, complemented
52#19099210C2211yescharacteristic, complemented
53#19099209C2211yescharacteristic, complemented
54#19099208C2211yescharacteristic
55#19099208C2211yescharacteristic, complemented
56#19099207C2211yescharacteristic
57#19099206C2211yescharacteristic
58#19099205—21no—
59#19099204C2211yescharacteristic
60#19099203—21no—
61#19099202—21no—
62#19099201C2211yescharacteristic, complemented
63#19099200—21no—
64#19099154—21no—
65#19099149—21no—
66#19099121—21no—
67#19099098C2211yescharacteristic, complemented
68#19099095C2211yescharacteristic, complemented
69#124×D79C2211yescharacteristic, complemented
70#19099075C2211yescharacteristic
71#19099073C2211yescharacteristic
72#123×D79—21no—
73C2×#14579141C2211yescharacteristic, complemented
74C22⋊Q8×D79C2211yescharacteristic, complemented
75#121×D79—21no—
76#121×D79C2211yescharacteristic
77#121×D79C2211yescharacteristic, complemented
78#120×D79—21no—
79#19099035—21no—
80C4×D4×D79C2211yescharacteristic
81C4×D4×D79C2211yescharacteristic, complemented
82C2×C22⋊C4×D79—21no—
83#19098947C2211yescharacteristic, complemented
84#19098946C2211yescharacteristic, complemented
85#19098945C2211yescharacteristic, complemented
86#19098944C2211yescharacteristic, complemented
87#19098920C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098906C2211yescharacteristic, complemented
91#19098904C2211yescharacteristic, complemented
92#19098902C2211yescharacteristic, complemented
93#19098900C2211yescharacteristic, complemented
94#19098900C2211yescharacteristic, complemented
95#19098883C2211yescharacteristic, complemented
96#19098883C2211yescharacteristic, complemented
97#19098880C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098876C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098865C2211yescharacteristic, complemented
102#19098860C2211yescharacteristic, complemented
103#19098822C2211yescharacteristic, complemented
104#19098821C2211yescharacteristic, complemented
105#19098820C2211yescharacteristic, complemented
106#19098819C2211yescharacteristic, complemented
107#19098816C2211yescharacteristic, complemented
108#19098814C2211yescharacteristic, complemented
109#19098814C2211yescharacteristic, complemented
110#19098812C2211yescharacteristic, complemented
111#19098810C2211yescharacteristic, complemented
112#19098810C2211yescharacteristic, complemented
113#19098810C2211yescharacteristic, complemented
114#19098808C2211yescharacteristic, complemented
115#19098808C2211yescharacteristic, complemented
116#19098807C2211yescharacteristic, complemented
117#19098788C2211yescharacteristic, complemented
118#19098786C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098782C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098779C2211yescharacteristic, complemented
123#19098778C2211yescharacteristic, complemented
124#19098778C2211yescharacteristic, complemented
125#19098777C2211yescharacteristic, complemented
126#19098777C2211yescharacteristic, complemented
127#19098776C2211yescharacteristic, complemented
128#19098728C2211yescharacteristic, complemented
129#19098728C2211yescharacteristic, complemented
130#19098727C2211yescharacteristic, complemented
131#19098726C2211yescharacteristic, complemented
132#19098726C2211yescharacteristic, complemented
133#19098726C2211yescharacteristic, complemented
134#19098723C2211yescharacteristic, complemented
135#19098722C2211yescharacteristic, complemented
136#19098720C2211yescharacteristic, complemented
137#19098720C2211yescharacteristic, complemented
138#19098716C2211yescharacteristic, complemented
139#19098715C2211yescharacteristic, complemented
140#19098715C2211yescharacteristic, complemented
141#19098715C2211yescharacteristic, complemented
142#19098715C2211yescharacteristic, complemented
143#19098715C2211yescharacteristic, complemented
144#19098715C2211yescharacteristic, complemented
145#19098714C2211yescharacteristic, complemented
146#19098710C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic, complemented
148#19098706C2211yescharacteristic, complemented
149#19098704C2211yescharacteristic, complemented
150#19098703C2211yescharacteristic, complemented
151#19098701C2211yescharacteristic, complemented
152#19098700C2211yescharacteristic, complemented
153#19098698C2211yescharacteristic
154#19098698C2211yescharacteristic
155#19098698C2211yescharacteristic, complemented
156#19098698C2211yescharacteristic, complemented
157#19098698C2211yescharacteristic, complemented
158#19098696C2211yescharacteristic, complemented
159#19098695C2211yescharacteristic
160#19098695C2211yescharacteristic
161#19098695C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163C4×#11929613C2211yescharacteristic, complemented
164#19098650C2211yescharacteristic, complemented
165C4×#11929612C2211yescharacteristic, complemented
166#19098645C2211yescharacteristic, complemented
167C4×#11929609C2211yescharacteristic, complemented
168#19098643C2211yescharacteristic, complemented
169#19098642C2211yescharacteristic, complemented
170#19098641C2211yescharacteristic, complemented
171#19098640C2211yescharacteristic, complemented
172#19098639C2211yescharacteristic, complemented
173#19098639C2211yescharacteristic, complemented
174#19098638C2211yescharacteristic, complemented
175#19098638C2211yescharacteristic, complemented
176#19098615C2211yescharacteristic, complemented
177#19098614C2211yescharacteristic, complemented
178#19098567C2211yescharacteristic, complemented
179#19098566C2211yescharacteristic, complemented
180#19098566C2211yescharacteristic, complemented
181#19098563C2211yescharacteristic, complemented
182#19098562C2211yescharacteristic, complemented
183#19098561C2211yescharacteristic, complemented
184#19098526C2211yescharacteristic, complemented
185#19098526C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187#19098525C2211yescharacteristic, complemented
188#553×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic, complemented
190#488×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#478×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic, complemented
195#468×C79C2211yescharacteristic, complemented
196#463×C79C2211yescharacteristic, complemented
197#449×C79C2211yescharacteristic, complemented
198#447×C79C2211yescharacteristic, complemented
199C4×D8×C79C2211yescharacteristic, complemented
200#436×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202#417×C79C2211yescharacteristic, complemented
203C24×D79—21no—
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624C2311yescharacteristic
207C2×#11929624C2311yescharacteristic
208C2×#11929623—21no—
209C2×#11929623C2311yescharacteristic
210C2×#11929623C2311yescharacteristic
211#41×D79—42no—
212#41×D79—42no—
213C22×Dic158C2311yescharacteristic, complemented
214C2×Q8×D79C2311yescharacteristic
215C22×D316C2311yescharacteristic
216C22×C22⋊D79—21no—
217C2×D4×D79—21no—
218C2×D4×D79—21no—
219C2×D4×D79—21no—
220C2×D4×D79—21no—
221C2×D4×D79—21no—
222C2×D4×D79—42no—
223C2×D4×D79—42no—
224C2×D4×D79D411yescharacteristic
225C2×D4×D79C2311yescharacteristic
226C2×D4×D79C2311yescharacteristic
227C2×D4×D79C2311yescharacteristic
228C2×D4×D79C2311yescharacteristic
229C2×D4×D79C2311yescharacteristic, complemented
230C22×C4×D79—21no—
231C22×C4×D79—21no—
232C22×C4×D79C2311yescharacteristic
233C22×C4×D79C2311yescharacteristic
234#14579194—42no—
235#14579191—42no—
236#14579189—42no—
237#14579188—42no—
238#14579187—42no—
239#14579185—42no—
240#14579185—42no—
241#14579185—42no—
242C2×Dic316C2311yescharacteristic, complemented
243C2×Dic316C2311yescharacteristic, complemented
244C2×#11929614C2311yescharacteristic, complemented
245C2×#11929614C2311yescharacteristic, complemented
246C2×#11929613C2311yescharacteristic
247C2×#11929613C2311yescharacteristic
248C2×#11929613C2311yescharacteristic
249C2×#11929613C2311yescharacteristic
250C2×#11929613C2311yescharacteristic, complemented
251C2×#11929612C2311yescharacteristic
252C2×#11929612C2311yescharacteristic
253C2×#11929612C2311yescharacteristic
254C2×#11929612C2311yescharacteristic
255C2×#11929612C2311yescharacteristic, complemented
256C2×#11929611C2311yescharacteristic, complemented
257C2×D632C2311yescharacteristic
258C2×D632C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C2×#11929609C2311yescharacteristic
261C2×#11929609C2311yescharacteristic
262C2×#11929609C2311yescharacteristic
263C2×#11929608C2311yescharacteristic
264C2×#11929608C2311yescharacteristic, complemented
265C2×#11929607C2311yescharacteristic
266C2×#11929607C2311yescharacteristic
267C2×#11929607C2311yescharacteristic, complemented
268C2×#11929607C2311yescharacteristic, complemented
269#14579156—21no—
270#14579156—21no—
271#14579156—21no—
272#14579154—21no—
273#14579154—21no—
274#14579153—21no—
275#14579152—21no—
276#14579152C2311yescharacteristic, complemented
277#14579150C2311yescharacteristic
278#14579149C2311yescharacteristic
279#14579149C2311yescharacteristic, complemented
280#14579148C2311yescharacteristic
281#14579148C2311yescharacteristic, complemented
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147—21no—
286#14579146—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146—21no—
291#14579145—21no—
292#14579145—21no—
293#14579145—21no—
294#14579144—21no—
295#14579143—21no—
296#14579143—21no—
297#14579143—21no—
298#14579143—21no—
299#14579143—21no—
300#14579143—21no—
301#14579142—21no—
302#14579141—21no—
303#14579141—21no—
304#14579141C2311yescharacteristic
305#14579141C2311yescharacteristic
306#14579141C2311yescharacteristic
307#14579141C2311yescharacteristic
308#14579141C2311yescharacteristic, complemented
309#14579141C2311yescharacteristic, complemented
310#14579140C2311yescharacteristic
311#14579140C2311yescharacteristic
312#14579139—21no—
313#14579139—21no—
314#14579138—21no—
315#14579138—21no—
316#14579137C2311yescharacteristic
317#14579136—21no—
318#14579136C2311yescharacteristic
319#14579136C2311yescharacteristic
320#14579136C2311yescharacteristic
321#14579135—21no—
322#14579135—21no—
323#14579135—21no—
324#14579135C2311yescharacteristic
325#14579135C2311yescharacteristic, complemented
326#14579134—21no—
327#14579134—21no—
328#14579134—21no—
329#14579134—21no—
330#14579133—21no—
331#14579133—21no—
332#14579133—21no—
333#14579133—21no—
334#14579133—21no—
335#14579133—21no—
336#14579132—21no—
337#14579132—21no—
338#14579132C2311yescharacteristic
339#14579132C2311yescharacteristic
340#14579131—21no—
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579130—21no—
346#14579129—21no—
347#14579129—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351C4×Dic158C2311yescharacteristic, complemented
352#14579126C2311yescharacteristic, complemented
353C4×D316—21no—
354C4×D316—21no—
355C4×D316C2311yescharacteristic
356C4×D316C2311yescharacteristic
357D4×Dic79—21no—
358D4×Dic79—21no—
359D4×Dic79D411yescharacteristic
360D4×Dic79C2311yescharacteristic
361#14579123—21no—
362#14579123D411yescharacteristic
363#14579123C2311yescharacteristic
364#14579123C2311yescharacteristic, complemented
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79C2311yescharacteristic
369C4×C22⋊D79C2311yescharacteristic
370(C22⋊D79)⋊C4—21no—
371(C22⋊D79)⋊C4—21no—
372(C22⋊D79)⋊C4—21no—
373(C22⋊D79)⋊C4D411yescharacteristic
374(C22⋊D79)⋊C4D411yescharacteristic
375#14579120—21no—
376#14579119—21no—
377#14579119—21no—
378#14579119C2311yescharacteristic
379#14579118—21no—
380C2×C4⋊Dic79—21no—
381C4⋊C4×D79—21no—
382C4⋊C4×D79D411yescharacteristic
383C4⋊C4×D79C2311yescharacteristic
384C4⋊C4×D79C2311yescharacteristic, complemented
385C2×C22⋊Dic79—21no—
386C2×(C2×D79)⋊C4—21no—
387C2×(C2×D79)⋊C4—21no—
388C2×(C2×D79)⋊C4—21no—
389C2×(C2×D79)⋊C4—21no—
390C22⋊C4×D79—21no—
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C22⋊C4×D79—21no—
396C22⋊C4×D79—21no—
397C22⋊C4×D79—21no—
398C22⋊C4×D79—21no—
399C22⋊C4×D79—21no—
400C22⋊C4×D79—21no—
401C22⋊C4×D79D411yescharacteristic
402C22⋊C4×D79D411yescharacteristic
403C42×D79C2311yescharacteristic
404#14579094C2311yescharacteristic, complemented
405#14579094C2311yescharacteristic, complemented
406#14579093C2311yescharacteristic, complemented
407#14579092C2311yescharacteristic, complemented
408#14579092C2311yescharacteristic, complemented
409C4⋊(C79⋊C8)C2311yescharacteristic, complemented
410Dic79⋊C8C2311yescharacteristic, complemented
411Dic79⋊C8C2311yescharacteristic, complemented
412#14579086C2311yescharacteristic, complemented
413#14579086C2311yescharacteristic, complemented
414#14579086C2311yescharacteristic, complemented
415#14579085C2311yescharacteristic, complemented
416#14579084C2311yescharacteristic, complemented
417#14579084C2311yescharacteristic, complemented
418#14579084C2311yescharacteristic, complemented
419#14579084C2311yescharacteristic, complemented
420#14579084C2311yescharacteristic, complemented
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic, complemented
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic, complemented
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic, complemented
434C22⋊(C79⋊C8)C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic, complemented
436(C2×D79)⋊C8C2311yescharacteristic
437(C2×D79)⋊C8C2311yescharacteristic
438(C2×D79)⋊C8C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic
441(C2×D79)⋊C8C2311yescharacteristic
442(C2×D79)⋊C8C2311yescharacteristic, complemented
443(C2×D79)⋊C8C2311yescharacteristic, complemented
444C4×C79⋊C8C2311yescharacteristic, complemented
445C8×Dic79C2311yescharacteristic, complemented
446C8×Dic79C2311yescharacteristic, complemented
447C2×#41×C79C2311yescharacteristic
448C22×D4×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic, complemented
450C2×D8×C79C2311yescharacteristic
451C2×D8×C79C2311yescharacteristic
452C2×M16×C79C2311yescharacteristic
453C2×M16×C79C2311yescharacteristic, complemented
454#126×C79—21no—
455#125×C79C2311yescharacteristic, complemented
456#124×C79C2311yescharacteristic
457#123×C79—21no—
458#123×C79—21no—
459C22⋊Q8×C79C2311yescharacteristic
460#121×C79—21no—
461#121×C79—21no—
462#121×C79C2311yescharacteristic
463#121×C79C2311yescharacteristic
464#121×C79C2311yescharacteristic, complemented
465#120×C79—21no—
466C4×D4×C79—21no—
467C4×D4×C79C2311yescharacteristic
468C4×D4×C79C2311yescharacteristic
469C4×D4×C79C2311yescharacteristic, complemented
470#117×C79C2311yescharacteristic
471C2×C4⋊C4×C79C2311yescharacteristic, complemented
472C2×C22⋊C4×C79—21no—
473#107×C79C2311yescharacteristic, complemented
474#107×C79C2311yescharacteristic, complemented
475#106×C79C2311yescharacteristic, complemented
476C4⋊C8×C79C2311yescharacteristic, complemented
477#103×C79C2311yescharacteristic, complemented
478#103×C79C2311yescharacteristic, complemented
479#103×C79C2311yescharacteristic, complemented
480#102×C79C2311yescharacteristic
481#102×C79C2311yescharacteristic
482#102×C79C2311yescharacteristic
483#102×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486#102×C79C2311yescharacteristic, complemented
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic, complemented
489C4×C8×C79C2311yescharacteristic, complemented
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79—21no—
494C23×D79—21no—
495C23×D79—21no—
496C23×D79—44no—
497C23×D79—44no—
498C23×D79—82no—
499C23×D79C2×D411yescharacteristic
500C23×D79C2×D411yescharacteristic
501#11929625—22no—
502#11929625—41no—
503#11929624—22no—
504#11929624—44no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929623—22no—
509#11929623—44no—
510#11929623—41no—
511#11929623—41no—
512#11929623—41no—
513C2×Dic158—21no—
514C2×Dic158—21no—
515C2×Dic158—41no—
516C2×Dic158—41no—
517C2×Dic158C2411yescharacteristic
518C2×Dic158C2411yescharacteristic
519C2×Dic158C2411yescharacteristic
520Q8×D79—41no—
521Q8×D79—41no—
522C2×D316—21no—
523C2×D316—21no—
524C2×D316—21no—
525C2×D316—21no—
526C2×D316—22no—
527C2×D316—21no—
528C2×D316—41no—
529C2×D316C2×D411yescharacteristic
530C2×D316C2411yescharacteristic
531C2×D316C2411yescharacteristic
532C2×D316C2411yescharacteristic
533C2×C22⋊D79—21no—
534C2×C22⋊D79—21no—
535C2×C22⋊D79—21no—
536C2×C22⋊D79—21no—
537C2×C22⋊D79—21no—
538C2×C22⋊D79—21no—
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—21no—
545C2×C22⋊D79—21no—
546C2×C22⋊D79—44no—
547C2×C22⋊D79C2×D411yescharacteristic
548C2×C22⋊D79C2×D411yescharacteristic
549D4×D79—22no—
550D4×D79—22no—
551D4×D79—22no—
552D4×D79—22no—
553D4×D79—44no—
554D4×D79—41no—
555D4×D79—41no—
556D4×D79—41no—
557D4×D79—41no—
558D4×D79—42no—
559D4×D79—44no—
560D4×D79—44no—
561D4×D79—44no—
562D4×D79—41no—
563D4×D79—41no—
564D4×D79—82no—
565C22×Dic79—21no—
566C22×Dic79—21no—
567C22×Dic79—21no—
568C22×Dic79—21no—
569C22×Dic79C2×D411yescharacteristic
570C22×Dic79C2×D411yescharacteristic
571C2×C4×D79—21no—
572C2×C4×D79—21no—
573C2×C4×D79—21no—
574C2×C4×D79—21no—
575C2×C4×D79—21no—
576C2×C4×D79—21no—
577C2×C4×D79—21no—
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—41no—
581C2×C4×D79—41no—
582C2×C4×D79—41no—
583C2×C4×D79—41no—
584C2×C4×D79—44no—
585C2×C4×D79—82no—
586C2×C4×D79C2×D411yescharacteristic
587C2×C4×D79C2×D411yescharacteristic
588C2×C4×D79C2×D411yescharacteristic
589C2×C4×D79C2×D411yescharacteristic
590C2×C4×D79C2×D411yescharacteristic
591C2×C4×D79C2×D411yescharacteristic
592C2×C4×D79C2411yescharacteristic
593C2×C4×D79C2411yescharacteristic
594C2×C4×D79C2411yescharacteristic
595Dic316—41no—
596Dic316—41no—
597#11929614—41no—
598#11929614—41no—
599#11929613—22no—
600#11929613—22no—
601#11929613—41no—
602#11929613—41no—
603#11929613—41no—
604#11929612—22no—
605#11929612—22no—
606#11929612—41no—
607#11929612—41no—
608#11929612—41no—
609#11929611—41no—
610D632—22no—
611D632—41no—
612#11929609—22no—
613#11929609—22no—
614#11929609—41no—
615#11929609—41no—
616#11929608—41no—
617#11929608—41no—
618#11929607—41no—
619#11929607—41no—
620#11929607—41no—
621#11929607—41no—
622C2×C79⋊C8C2411yescharacteristic
623C2×C79⋊C8C2411yescharacteristic
624C2×C79⋊C8C2411yescharacteristic
625C2×C79⋊C8C2411yescharacteristic
626C4⋊Dic79—21no—
627C4⋊Dic79—21no—
628C4⋊Dic79—21no—
629C4⋊Dic79—21no—
630C4⋊Dic79—21no—
631C4⋊Dic79—21no—
632C4⋊Dic79—21no—
633C4⋊Dic79C2×D411yescharacteristic
634C4⋊Dic79C2411yescharacteristic
635C4⋊Dic79C2411yescharacteristic
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4—21no—
642Dic79⋊C4—21no—
643Dic79⋊C4—21no—
644Dic79⋊C4C2×D411yescharacteristic
645Dic79⋊C4C2×D411yescharacteristic
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79—21no—
651C22⋊Dic79—21no—
652C22⋊Dic79—21no—
653C22⋊Dic79—21no—
654C22⋊Dic79—21no—
655C22⋊Dic79C2×D411yescharacteristic
656C22⋊Dic79C2×D411yescharacteristic
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4—21no—
672(C2×D79)⋊C4—21no—
673(C2×D79)⋊C4—21no—
674(C2×D79)⋊C4—21no—
675(C2×D79)⋊C4—21no—
676(C2×D79)⋊C4—21no—
677(C2×D79)⋊C4—21no—
678(C2×D79)⋊C4—21no—
679(C2×D79)⋊C4C2×D411yescharacteristic
680(C2×D79)⋊C4C2×D411yescharacteristic
681(C2×D79)⋊C4C2×D411yescharacteristic
682(C2×D79)⋊C4C2×D411yescharacteristic
683C4×Dic79—21no—
684C4×Dic79—21no—
685C4×Dic79—21no—
686C4×Dic79C2×D411yescharacteristic
687C4×Dic79C2×D411yescharacteristic
688C4×Dic79C2411yescharacteristic
689C24×C79—21no—
690#41×C79—22no—
691#41×C79—41no—
692C2×Q8×C79C2411yescharacteristic
693C2×D4×C79—22no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—21no—
697C2×D4×C79—21no—
698C2×D4×C79—21no—
699C2×D4×C79—41no—
700C2×D4×C79C2×D411yescharacteristic
701C2×D4×C79C2411yescharacteristic
702C2×D4×C79C2411yescharacteristic
703C2×D4×C79C2411yescharacteristic
704C22×C4×C79—21no—
705C22×C4×C79—21no—
706C22×C4×C79—21no—
707C22×C4×C79—21no—
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710SD16×C79—41no—
711D8×C79—22no—
712D8×C79—41no—
713M16×C79—41no—
714M16×C79—41no—
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C4⋊C4×C79—21no—
720C4⋊C4×C79—21no—
721C4⋊C4×C79—21no—
722C4⋊C4×C79—21no—
723C4⋊C4×C79C2×D411yescharacteristic
724C4⋊C4×C79C2411yescharacteristic
725C4⋊C4×C79C2411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C22⋊C4×C79—21no—
729C22⋊C4×C79—21no—
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C22⋊C4×C79C2×D411yescharacteristic
738C22⋊C4×C79C2×D411yescharacteristic
739C42×C79—21no—
740C42×C79C2411yescharacteristic
741C23×C79—21no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—42no—
745C23×C79—42no—
746C23×C79—81no—
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—24no—
750C22×D79—21no—
751C22×D79—22no—
752C22×D79—22no—
753C22×D79—21no—
754C22×D79—21no—
755C22×D79—41no—
756C22×D79—41no—
757C22×D79—41no—
758C22×D79—41no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—42no—
763C22×D79—42no—
764C22×D79—42no—
765C22×D79—42no—
766C22×D79—42no—
767C22×D79—42no—
768C22×D79—42no—
769C22×D79—42no—
770C22×D79—42no—
771C22×D79—81no—
772C22×D79—81no—
773C22×D79—81no—
774C22×D79—81no—
775C22×D79—81no—
776C22×D79—816no—
777C22×D79C22×D411yescharacteristic
778C22×D79C22×D411yescharacteristic
779C22×D79C22×D411yescharacteristic
780Q8×C79—21no—
781Q8×C79—21no—
782D4×C79—21no—
783D4×C79—21no—
784D4×C79—21no—
785D4×C79—21no—
786D4×C79—21no—
787D4×C79—41no—
788D4×C79—42no—
789D4×C79—42no—
790D4×C79—42no—
791D4×C79—81no—
792D4×C79—81no—
793D4×C79H(5,𝔽2)12yes—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—21no—
797C2×C4×C79—21no—
798C2×C4×C79—21no—
799C2×C4×C79—21no—
800C2×C4×C79—21no—
801C2×C4×C79—21no—
802C2×C4×C79—21no—
803C2×C4×C79—42no—
804C2×C4×C79—81no—
805C2×C4×C79—81no—
806C2×C4×C79—81no—
807C2×C4×C79C22×D411yescharacteristic
808C2×C4×C79C22×D411yescharacteristic
809C2×C4×C79C22×D411yescharacteristic
810C2×C4×C79C22×D411yescharacteristic
811C2×C4×C79C2511yescharacteristic
812C22⋊D79—24no—
813C22⋊D79—41no—
814C22⋊D79—41no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—42no—
820C22⋊D79—42no—
821C22⋊D79—42no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C22⋊D79—81no—
825C22⋊D79—81no—
826C22⋊D79—81no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—21no—
832C2×Dic79—41no—
833C2×Dic79—41no—
834C2×Dic79—42no—
835C2×Dic79—81no—
836C2×Dic79—81no—
837C2×Dic79—81no—
838C2×Dic79C22×D411yescharacteristic
839C2×Dic79C22×D411yescharacteristic
840C2×Dic79C22×D411yescharacteristic
841C2×Dic79C22×D411yescharacteristic
842C2×Dic79C22×D411yescharacteristic
843D316—21no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—41no—
849D316—42no—
850D316—42no—
851D316—42no—
852D316—81no—
853D316—81no—
854D316H(5,𝔽2)12yes—
855C4×D79—22no—
856C4×D79—21no—
857C4×D79—21no—
858C4×D79—21no—
859C4×D79—21no—
860C4×D79—21no—
861C4×D79—21no—
862C4×D79—41no—
863C4×D79—41no—
864C4×D79—41no—
865C4×D79—41no—
866C4×D79—41no—
867C4×D79—42no—
868C4×D79—42no—
869C4×D79—42no—
870C4×D79—42no—
871C4×D79—42no—
872C4×D79—81no—
873C4×D79—81no—
874C4×D79—81no—
875C4×D79—81no—
876Dic158—21no—
877Dic158—21no—
878Dic158—21no—
879Dic158—21no—
880Dic158—21no—
881Dic158—21no—
882Dic158—42no—
883Dic158—81no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C8×C79—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C79⋊C8—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—22no—
895C22×C79—21no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—21no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—41no—
906C22×C79—41no—
907C22×C79—84no—
908C22×C79C23×D411yescharacteristic
909C2×D79—21no—
910C2×D79—21no—
911C2×D79—21no—
912C2×D79—21no—
913C2×D79—22no—
914C2×D79—21no—
915C2×D79—21no—
916C2×D79—21no—
917C2×D79—21no—
918C2×D79—48no—
919C2×D79—44no—
920C2×D79—41no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—41no—
927C2×D79—41no—
928C2×D79—82no—
929C2×D79—84no—
930C2×D79—84no—
931C2×D79—84no—
932C2×D79—84no—
933C2×D79—162no—
934C2×D79#57512yes—
935C4×C79—21no—
936C4×C79—21no—
937C4×C79—21no—
938C4×C79—21no—
939C4×C79—41no—
940C4×C79—41no—
941C4×C79—41no—
942C4×C79—41no—
943C4×C79—41no—
944C4×C79C2×H(5,𝔽2)11yescharacteristic
945C4×C79C2×H(5,𝔽2)11yescharacteristic
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—21no—
950Dic79—21no—
951Dic79—41no—
952Dic79—41no—
953Dic79—41no—
954Dic79—41no—
955Dic79—41no—
956#61581—791nomaximal, Sylow
957C2×C79—41no—
958C2×C79—42no—
959C2×C79—41no—
960C2×C79—81no—
961C2×C79—81no—
962C2×C79#348411yescharacteristic
963C2×C79C2×#57511yescharacteristic
964C2×C79#358511yescharacteristic
965D79—22no—
966D79—41no—
967D79—41no—
968D79—42no—
969D79—81no—
970D79—81no—
971#3505—791no—
972C2×#546—791no—
973#3323—791no—
974#3323—791no—
975#3323—791no—
976#3323—791no—
977#3322—791no—
978#3322—791no—
979#3322—791no—
980#3322D7911yescharacteristic, complemented
981#3275—791no—
982#3275—791no—
983#3275—791no—
984#3275—791no—
985#3273—791no—
986#3273—791no—
987#3273—791no—
988#3273—791no—
989#3211—791no—
990#3211—791no—
991#3196—791no—
992#3196—791no—
993#3193—791no—
994#3192—791no—
995#3105—791no—
996#3105—791no—
997#3007—791no—
998#3006—791no—
999#3003—791no—
1000#3003—791no—
1001#2975—791no—
1002C79#6158111yescharacteristic, complemented, Sylow
1003C22×#41—791no—
1004C23×D4—791no—
1005C2×#137—791no—
1006C2×#137—791no—
1007C2×AGL(1,ℤ/8)—791no—
1008C2×AGL(1,ℤ/8)—791no—
1009C2×AGL(1,ℤ/8)—791no—
1010C2×AGL(1,ℤ/8)—791no—
1011C2×AGL(1,ℤ/8)—791no—
1012C2×AGL(1,ℤ/8)—791no—
1013#553—791no—
1014#553—1581no—
1015#553—1581no—
1016#553C2×D7911yescharacteristic, complemented
1017#552—791no—
1018#552—791no—
1019#551—1581no—
1020#551—1581no—
1021#548—791no—
1022#548—791no—
1023#546—791no—
1024#546—791no—
1025#546—791no—
1026#546—791no—
1027#546—791no—
1028#546—791no—
1029#546—791no—
1030#546—791no—
1031#546—791no—
1032#546—1581no—
1033#546—1581no—
1034#546—1581no—
1035#546—1581no—
1036#546C2×D7911yescharacteristic, complemented
1037#539—1581no—
1038#538—1581no—
1039#534—1581no—
1040#529—791no—
1041#529—791no—
1042C2×#124—791no—
1043#525—791no—
1044#525—791no—
1045C2×#123—1581no—
1046C2×C22⋊Q8—791no—
1047C2×C22⋊Q8—791no—
1048C2×#121—791no—
1049C2×#121—791no—
1050C2×#121—1581no—
1051C2×#120—1581no—
1052#518—1581no—
1053C2×C4×D4—791no—
1054C2×C4×D4—791no—
1055C22×C22⋊C4—1581no—
1056#495—791no—
1057#495—791no—
1058#495—791no—
1059#495—791no—
1060#488—791no—
1061#488—791no—
1062#488—791no—
1063#488C2×D7911yescharacteristic, complemented
1064#485—791no—
1065#485—791no—
1066#485—791no—
1067#485C2×D7911yescharacteristic, complemented
1068#484—791no—
1069#484—791no—
1070#481—791no—
1071#481—791no—
1072#481—791no—
1073#481—791no—
1074#480—791no—
1075#480C2×D7911yescharacteristic, complemented
1076#478—791no—
1077#478—791no—
1078#478—791no—
1079#478C2×D7911yescharacteristic, complemented
1080#470—791no—
1081#470—791no—
1082#470—791no—
1083#470—791no—
1084#469—791no—
1085#469—791no—
1086#469—791no—
1087#469C2×D7911yescharacteristic, complemented
1088#468—791no—
1089#468—791no—
1090#468—791no—
1091#468—791no—
1092#468—791no—
1093#468—791no—
1094#468—791no—
1095#468C2×D7911yescharacteristic, complemented
1096#464—791no—
1097#464—791no—
1098#464—791no—
1099#464—791no—
1100#463—791no—
1101#463—791no—
1102#463—791no—
1103#463—791no—
1104#463—791no—
1105#463—791no—
1106#463—791no—
1107#463C2×D7911yescharacteristic, complemented
1108#452—791no—
1109#452—791no—
1110#452—791no—
1111#452—791no—
1112#452—791no—
1113#452—791no—
1114#452—791no—
1115#452—791no—
1116#451—791no—
1117#451—791no—
1118#450—791no—
1119#450—791no—
1120#450—791no—
1121#450—791no—
1122#450—791no—
1123#450—791no—
1124#450—791no—
1125#450—791no—
1126#449—791no—
1127#449—791no—
1128#449—791no—
1129#449C2×D7911yescharacteristic, complemented
1130#448—791no—
1131#448—791no—
1132#448—791no—
1133#448—791no—
1134#447—791no—
1135#447—791no—
1136#447—791no—
1137#447—791no—
1138#447—791no—
1139#447—791no—
1140#447—791no—
1141#447—791no—
1142#447—791no—
1143#447C2×D7911yescharacteristic, complemented
1144C4×SD16—791no—
1145C4×SD16—791no—
1146C4×SD16—791no—
1147C4×SD16—791no—
1148C4×D8—791no—
1149C4×D8—791no—
1150C4×D8—791no—
1151C4×D8C2×D7911yescharacteristic, complemented
1152#436—791no—
1153#436—791no—
1154#436—791no—
1155#436—791no—
1156#436—791no—
1157#436—791no—
1158#436—791no—
1159#436C2×D7911yescharacteristic, complemented
1160#431—791no—
1161#431—791no—
1162#418—791no—
1163#418—791no—
1164#418—791no—
1165#418C2×D7911yescharacteristic, complemented
1166#417—791no—
1167#417—791no—
1168#417—791no—
1169#417C2×D7911yescharacteristic, complemented
1170#407—791no—
1171#407—791no—
1172#407—791no—
1173#407—791no—
1174C25—1581no—
1175C2×#41—3162no—
1176C2×#41—3162no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—791no—
1182C2×#41—1581no—
1183C2×#41—1581no—
1184C2×#41C22×D7911yescharacteristic
1185C22×Q8—791no—
1186C22×Q8—791no—
1187C22×D4—3162no—
1188C22×D4—3162no—
1189C22×D4—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—791no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C22×D4—1581no—
1202C22×D4C22×D7911yescharacteristic
1203C23×C4—791no—
1204C23×C4—791no—
1205C23×C4—1581no—
1206C23×C4—1581no—
1207#137—3162no—
1208#137—3162no—
1209AGL(1,ℤ/8)—3162no—
1210AGL(1,ℤ/8)—3162no—
1211AGL(1,ℤ/8)—3162no—
1212AGL(1,ℤ/8)—3162no—
1213AGL(1,ℤ/8)—3162no—
1214AGL(1,ℤ/8)—3162no—
1215C2×Q16—791no—
1216C2×Q16—791no—
1217C2×Q16—791no—
1218C2×Q16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16—791no—
1225C2×SD16—791no—
1226C2×SD16—791no—
1227C2×SD16—791no—
1228C2×SD16—791no—
1229C2×SD16—791no—
1230C2×SD16C22×D7911yescharacteristic, complemented
1231C2×D8—791no—
1232C2×D8—791no—
1233C2×D8—791no—
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8—791no—
1237C2×D8C22×D7911yescharacteristic
1238C2×D8C22×D7911yescharacteristic
1239C2×M16—791no—
1240C2×M16—791no—
1241C2×M16—791no—
1242C2×M16—791no—
1243C2×M16—791no—
1244C2×M16—791no—
1245C2×M16C22×D7911yescharacteristic
1246C2×M16C22×D7911yescharacteristic, complemented
1247#126—21no—
1248#126—1581no—
1249#126—1581no—
1250#126—1581no—
1251#126—1581no—
1252#126—1581no—
1253#125—791no—
1254#125—1581no—
1255#125—1581no—
1256#125C22×D7911yescharacteristic, complemented
1257#124—791no—
1258#124—791no—
1259#124—791no—
1260#124—791no—
1261#124—791no—
1262#124—1581no—
1263#124—1581no—
1264#124—1581no—
1265#124—1581no—
1266#124C22×D7911yescharacteristic
1267#123—21no—
1268#123—21no—
1269#123—1581no—
1270#123—1581no—
1271#123—1581no—
1272#123—1581no—
1273#123—1581no—
1274#123—1581no—
1275#123—1581no—
1276#123—1581no—
1277#123—1581no—
1278#123—1581no—
1279#123—1581no—
1280#123—1581no—
1281#123—1581no—
1282#123—1581no—
1283#123—1581no—
1284#123—1581no—
1285C22⋊Q8—791no—
1286C22⋊Q8—791no—
1287C22⋊Q8—791no—
1288C22⋊Q8—791no—
1289C22⋊Q8—791no—
1290C22⋊Q8—791no—
1291C22⋊Q8—791no—
1292C22⋊Q8—791no—
1293C22⋊Q8—791no—
1294C22⋊Q8—1581no—
1295C22⋊Q8—1581no—
1296C22⋊Q8—1581no—
1297C22⋊Q8—1581no—
1298C22⋊Q8—1581no—
1299C22⋊Q8—1581no—
1300C22⋊Q8C22×D7911yescharacteristic
1301#121—21no—
1302#121—21no—
1303#121—791no—
1304#121—791no—
1305#121—791no—
1306#121—791no—
1307#121—791no—
1308#121—791no—
1309#121—791no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121—1581no—
1324#121—1581no—
1325#121—1581no—
1326#121C22×D7911yescharacteristic
1327#121C22×D7911yescharacteristic
1328#121C22×D7911yescharacteristic, complemented
1329#120—21no—
1330#120—1581no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339#120—1581no—
1340#120—1581no—
1341C4×Q8—791no—
1342C4×Q8—791no—
1343C4×D4—21no—
1344C4×D4—791no—
1345C4×D4—791no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—791no—
1354C4×D4—791no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358C4×D4—1581no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366C4×D4C22×D7911yescharacteristic
1367C4×D4C22×D7911yescharacteristic
1368C4×D4C22×D7911yescharacteristic, complemented
1369#117—791no—
1370#117—1581no—
1371#117—1581no—
1372#117—1581no—
1373#117—1581no—
1374#117C22×D7911yescharacteristic
1375C2×C4⋊C4—791no—
1376C2×C4⋊C4—791no—
1377C2×C4⋊C4—791no—
1378C2×C4⋊C4—1581no—
1379C2×C4⋊C4—1581no—
1380C2×C4⋊C4C22×D7911yescharacteristic, complemented
1381C2×C22⋊C4—21no—
1382C2×C22⋊C4—791no—
1383C2×C22⋊C4—791no—
1384C2×C22⋊C4—1581no—
1385C2×C22⋊C4—1581no—
1386C2×C22⋊C4—1581no—
1387C2×C22⋊C4—1581no—
1388C2×C22⋊C4—1581no—
1389C2×C22⋊C4—1581no—
1390C2×C22⋊C4—1581no—
1391C2×C22⋊C4—1581no—
1392C2×C22⋊C4—1581no—
1393C2×C22⋊C4—1581no—
1394C2×C22⋊C4—1581no—
1395C2×C22⋊C4—1581no—
1396C2×C22⋊C4—1581no—
1397C2×C22⋊C4—1581no—
1398C2×C22⋊C4—1581no—
1399C2×C22⋊C4—1581no—
1400C2×C42—791no—
1401#107—791no—
1402#107—791no—
1403#107C22×D7911yescharacteristic, complemented
1404#107C22×D7911yescharacteristic, complemented
1405#106—791no—
1406#106—791no—
1407#106—791no—
1408#106C22×D7911yescharacteristic, complemented
1409C4⋊C8—791no—
1410C4⋊C8—791no—
1411C4⋊C8—791no—
1412C4⋊C8C22×D7911yescharacteristic, complemented
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103—791no—
1420#103—791no—
1421#103—791no—
1422#103C22×D7911yescharacteristic, complemented
1423#103C22×D7911yescharacteristic, complemented
1424#103C22×D7911yescharacteristic, complemented
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102—791no—
1438#102C22×D7911yescharacteristic
1439#102C22×D7911yescharacteristic
1440#102C22×D7911yescharacteristic
1441#102C22×D7911yescharacteristic
1442#102C22×D7911yescharacteristic
1443#102C22×D7911yescharacteristic
1444#102C22×D7911yescharacteristic, complemented
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8—791no—
1450C22⋊C8—791no—
1451C22⋊C8—791no—
1452C22⋊C8—791no—
1453C22⋊C8—791no—
1454C22⋊C8—791no—
1455C22⋊C8C22×D7911yescharacteristic
1456C22⋊C8C22×D7911yescharacteristic, complemented
1457C4×C8—791no—
1458C4×C8—791no—
1459C4×C8—791no—
1460C4×C8C22×D7911yescharacteristic, complemented
1461C24—21no—
1462C24—3164no—
1463C24—3164no—
1464C24—791no—
1465C24—791no—
1466C24—6322no—
1467C24—1581no—
1468C24—1581no—
1469C24—1581no—
1470C24—1581no—
1471C24—1581no—
1472C24—1581no—
1473#41—22no—
1474#41—41no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3164no—
1479#41—3164no—
1480#41—3161no—
1481#41—3161no—
1482#41—3161no—
1483#41—3161no—
1484#41—1582no—
1485#41—1582no—
1486#41—1582no—
1487C2×Q8—3161no—
1488C2×Q8—3161no—
1489C2×Q8—3161no—
1490C2×Q8—3161no—
1491C2×Q8—791no—
1492C2×Q8—791no—
1493C2×Q8—791no—
1494C2×Q8—1581no—
1495C2×Q8—1581no—
1496C2×Q8C23×D7911yescharacteristic
1497C2×D4—22no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—41no—
1504C2×D4—3161no—
1505C2×D4—3164no—
1506C2×D4—3164no—
1507C2×D4—3164no—
1508C2×D4—3164no—
1509C2×D4—3164no—
1510C2×D4—3161no—
1511C2×D4—3161no—
1512C2×D4—3161no—
1513C2×D4—3161no—
1514C2×D4—3161no—
1515C2×D4—3161no—
1516C2×D4—3162no—
1517C2×D4—791no—
1518C2×D4—791no—
1519C2×D4—791no—
1520C2×D4—791no—
1521C2×D4—791no—
1522C2×D4—791no—
1523C2×D4—6322no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1582no—
1527C2×D4—1581no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4—1581no—
1534C2×D4—1582no—
1535C2×D4—1582no—
1536C2×D4—1581no—
1537C2×D4—1581no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1582no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1581no—
1544C2×D4—1581no—
1545C2×D4—1582no—
1546C2×D4—1581no—
1547C2×D4D4×D7911yescharacteristic
1548C2×D4C23×D7911yescharacteristic
1549C2×D4C23×D7911yescharacteristic
1550C2×D4C23×D7911yescharacteristic
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—3161no—
1556C22×C4—3161no—
1557C22×C4—3161no—
1558C22×C4—3161no—
1559C22×C4—3164no—
1560C22×C4—791no—
1561C22×C4—791no—
1562C22×C4—791no—
1563C22×C4—791no—
1564C22×C4—791no—
1565C22×C4—791no—
1566C22×C4—791no—
1567C22×C4—791no—
1568C22×C4—791no—
1569C22×C4—791no—
1570C22×C4—791no—
1571C22×C4—6322no—
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×C4C23×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587Q16—3161no—
1588Q16—3161no—
1589Q16—3161no—
1590Q16—3161no—
1591SD16—41no—
1592SD16—3161no—
1593SD16—3161no—
1594SD16—3161no—
1595SD16—3161no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—1582no—
1600SD16—1582no—
1601SD16—1582no—
1602SD16—1582no—
1603D8—22no—
1604D8—41no—
1605D8—3161no—
1606D8—3161no—
1607D8—3161no—
1608D8—1582no—
1609D8—1582no—
1610D8—1582no—
1611M16—41no—
1612M16—41no—
1613M16—3161no—
1614M16—3161no—
1615M16—3161no—
1616M16—3161no—
1617M16—3161no—
1618M16—3161no—
1619C2×C8—791no—
1620C2×C8—791no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8C23×D7911yescharacteristic
1624C2×C8C23×D7911yescharacteristic
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—791no—
1632C4⋊C4—791no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—1581no—
1637C4⋊C4—1581no—
1638C4⋊C4—1581no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4D4×D7911yescharacteristic
1652C4⋊C4C23×D7911yescharacteristic
1653C4⋊C4C23×D7911yescharacteristic
1654C4⋊C4C23×D7911yescharacteristic
1655C4⋊C4C23×D7911yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—791no—
1666C22⋊C4—791no—
1667C22⋊C4—791no—
1668C22⋊C4—791no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C22⋊C4—1581no—
1699C22⋊C4—1581no—
1700C22⋊C4—1581no—
1701C22⋊C4—1581no—
1702C22⋊C4D4×D7911yescharacteristic
1703C22⋊C4D4×D7911yescharacteristic
1704C42—21no—
1705C42—791no—
1706C42—791no—
1707C42—791no—
1708C42—1581no—
1709C42—1581no—
1710C42—1581no—
1711C42C23×D7911yescharacteristic
1712C23—21no—
1713C23—21no—
1714C23—21no—
1715C23—42no—
1716C23—42no—
1717C23—81no—
1718C23—3161no—
1719C23—3161no—
1720C23—3162no—
1721C23—3162no—
1722C23—3162no—
1723C23—3161no—
1724C23—3161no—
1725C23—3162no—
1726C23—3162no—
1727C23—3162no—
1728C23—3162no—
1729C23—3162no—
1730C23—3162no—
1731C23—3162no—
1732C23—3162no—
1733C23—3162no—
1734C23—791no—
1735C23—791no—
1736C23—791no—
1737C23—6321no—
1738C23—6321no—
1739C23—6321no—
1740C23—6321no—
1741C23—6321no—
1742C23—63216no—
1743C23—1582no—
1744C23—1584no—
1745C23—1582no—
1746C23—1581no—
1747C23—1581no—
1748C23—1581no—
1749C23C2×D4×D7911yescharacteristic
1750C23C2×D4×D7911yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—3162no—
1754Q8—6321no—
1755Q8—1581no—
1756Q8—1581no—
1757Q8—1581no—
1758Q8—1581no—
1759Q8—1581no—
1760Q8—1581no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—41no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—81no—
1771D4—81no—
1772D4—3162no—
1773D4—3161no—
1774D4—3162no—
1775D4—3162no—
1776D4—3162no—
1777D4—3162no—
1778D4—3162no—
1779D4—3162no—
1780D4—3162no—
1781D4—3161no—
1782D4—3161no—
1783D4—3162no—
1784D4—3162no—
1785D4—792no—
1786D4—6321no—
1787D4—6321no—
1788D4—6321no—
1789D4—6321no—
1790D4—6321no—
1791D4—6321no—
1792D4—6321no—
1793D4—1584no—
1794D4—1581no—
1795D4—1581no—
1796D4—1581no—
1797D4—1581no—
1798D4—1581no—
1799D4#1457920712yes—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—81no—
1812C2×C4—81no—
1813C2×C4—3162no—
1814C2×C4—3161no—
1815C2×C4—3161no—
1816C2×C4—3161no—
1817C2×C4—3161no—
1818C2×C4—3161no—
1819C2×C4—3162no—
1820C2×C4—3162no—
1821C2×C4—3162no—
1822C2×C4—3162no—
1823C2×C4—3162no—
1824C2×C4—3161no—
1825C2×C4—3161no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—6321no—
1838C2×C4—1582no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4—1581no—
1847C2×C4—1581no—
1848C2×C4—1581no—
1849C2×C4—1581no—
1850C2×C4C2×D4×D7911yescharacteristic
1851C2×C4C2×D4×D7911yescharacteristic
1852C2×C4C2×D4×D7911yescharacteristic
1853C2×C4C2×D4×D7911yescharacteristic
1854C2×C4C24×D7911yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—1581no—
1860C8—1581no—
1861C8—1581no—
1862C8—1581no—
1863C22—21no—
1864C22—21no—
1865C22—22no—
1866C22—21no—
1867C22—21no—
1868C22—21no—
1869C22—21no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—84no—
1879C22—3164no—
1880C22—3168no—
1881C22—3161no—
1882C22—3161no—
1883C22—3161no—
1884C22—3161no—
1885C22—3161no—
1886C22—3161no—
1887C22—3161no—
1888C22—3161no—
1889C22—792no—
1890C22—6324no—
1891C22—6324no—
1892C22—6322no—
1893C22—6324no—
1894C22—6324no—
1895C22—1582no—
1896C22—1581no—
1897C22—1581no—
1898C22—1581no—
1899C22—1581no—
1900C22—1581no—
1901C22—1581no—
1902C22—1581no—
1903C22—1581no—
1904C22—12642no—
1905C22C22×D4×D7911yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—21no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—3161no—
1916C4—3161no—
1917C4—3161no—
1918C4—3161no—
1919C4—3161no—
1920C4—1581no—
1921C4—1581no—
1922C4—1581no—
1923C4—1581no—
1924C4—1581no—
1925C4H(5,𝔽2)×D7911yescharacteristic
1926C4C2×#1457920711yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—42no—
1930C2—81no—
1931C2—81no—
1932C2—3162no—
1933C2—3161no—
1934C2—3161no—
1935C2—6321no—
1936C2—6321no—
1937C2—1582no—
1938C2#2377703011yescharacteristic
1939C2#575×D7911yescharacteristic
1940C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3322C2
socleC22×C79C23×D4
hypercenter#3322D79
hypocenterC79#61581
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #23777229C2semidirect
2. #546×D79C2semidirect
3. #23775615C2semidirect
4. #23775614C2semidirect
5. #23775613C2semidirect
6. #23775612C2semidirect
7. #23775604C2semidirect
8. #23775602C2semidirect
9. #23775595C2semidirect
10. #23775038C2semidirect
11. #23775036C2semidirect
12. #23775029C2semidirect
13. #23775027C2semidirect
14. #23775011C2semidirect
15. #23775010C2semidirect
16. #23775008C2semidirect
17. #23775006C2semidirect
18. #23774366C2semidirect
19. #23774363C2semidirect
20. #23774234C2semidirect
21. #23774225C2semidirect
22. #23774208C2semidirect
23. #23774196C2semidirect
24. #23773452C2semidirect
25. #23773445C2semidirect
26. #23772661C2semidirect
27. #23772649C2semidirect
28. #23772629C2semidirect
29. #23772624C2semidirect
30. #23772438C2semidirect
31. C79×#3322C2semidirect
33. C22×D4×D79C22semidirect
34. C2×#14579194C22semidirect
35. C2×#14579191C22semidirect
36. C2×#14579189C22semidirect
37. C2×#14579188C22semidirect
38. C2×#14579187C22semidirect
39. C2×#14579185C22semidirect
40. C2×#14579185C22semidirect
41. C2×#14579185C22semidirect
43. #19099261C22semidirect
45. #19099252C22semidirect
46. #19099251C22semidirect
49. #19099222C22semidirect
50. #19099219C22semidirect
51. #19099210C22semidirect
52. #19099210C22semidirect
53. #19099209C22semidirect
55. #19099208C22semidirect
62. #19099201C22semidirect
67. #19099098C22semidirect
68. #19099095C22semidirect
69. #124×D79C22semidirect
73. C2×#14579141C22semidirect
74. C22⋊Q8×D79C22semidirect
77. #121×D79C22semidirect
81. C4×D4×D79C22semidirect
83. #19098947C22semidirect
84. #19098946C22semidirect
85. #19098945C22semidirect
86. #19098944C22semidirect
87. #19098920C22semidirect
88. #19098919C22semidirect
89. #19098916C22semidirect
90. #19098906C22semidirect
91. #19098904C22semidirect
92. #19098902C22semidirect
93. #19098900C22semidirect
94. #19098900C22semidirect
95. #19098883C22semidirect
96. #19098883C22semidirect
97. #19098880C22semidirect
98. #19098880C22semidirect
99. #19098876C22semidirect
100. #19098866C22semidirect
101. #19098865C22semidirect
102. #19098860C22semidirect
103. #19098822C22semidirect
104. #19098821C22semidirect
105. #19098820C22semidirect
106. #19098819C22semidirect
107. #19098816C22semidirect
108. #19098814C22semidirect
109. #19098814C22semidirect
110. #19098812C22semidirect
111. #19098810C22semidirect
112. #19098810C22semidirect
113. #19098810C22semidirect
114. #19098808C22semidirect
115. #19098808C22semidirect
116. #19098807C22semidirect
117. #19098788C22semidirect
118. #19098786C22semidirect
119. #19098784C22semidirect
120. #19098782C22semidirect
121. #19098781C22semidirect
122. #19098779C22semidirect
123. #19098778C22semidirect
124. #19098778C22semidirect
125. #19098777C22semidirect
126. #19098777C22semidirect
127. #19098776C22semidirect
128. #19098728C22semidirect
129. #19098728C22semidirect
130. #19098727C22semidirect
131. #19098726C22semidirect
132. #19098726C22semidirect
133. #19098726C22semidirect
134. #19098723C22semidirect
135. #19098722C22semidirect
136. #19098720C22semidirect
137. #19098720C22semidirect
138. #19098716C22semidirect
139. #19098715C22semidirect
140. #19098715C22semidirect
141. #19098715C22semidirect
142. #19098715C22semidirect
143. #19098715C22semidirect
144. #19098715C22semidirect
145. #19098714C22semidirect
146. #19098710C22semidirect
147. #19098708C22semidirect
148. #19098706C22semidirect
149. #19098704C22semidirect
150. #19098703C22semidirect
151. #19098701C22semidirect
152. #19098700C22semidirect
155. #19098698C22semidirect
156. #19098698C22semidirect
157. #19098698C22semidirect
158. #19098696C22semidirect
161. #19098695C22semidirect
162. #19098654C22semidirect
163. C4×#11929613C22semidirect
164. #19098650C22semidirect
165. C4×#11929612C22semidirect
166. #19098645C22semidirect
167. C4×#11929609C22semidirect
168. #19098643C22semidirect
169. #19098642C22semidirect
170. #19098641C22semidirect
171. #19098640C22semidirect
172. #19098639C22semidirect
173. #19098639C22semidirect
174. #19098638C22semidirect
175. #19098638C22semidirect
176. #19098615C22semidirect
177. #19098614C22semidirect
178. #19098567C22semidirect
179. #19098566C22semidirect
180. #19098566C22semidirect
181. #19098563C22semidirect
182. #19098562C22semidirect
183. #19098561C22semidirect
184. #19098526C22semidirect
185. #19098526C22semidirect
186. #19098525C22semidirect
187. #19098525C22semidirect
188. #553×C79C22semidirect
189. #546×C79C22semidirect
190. #488×C79C22semidirect
191. #485×C79C22semidirect
192. #480×C79C22semidirect
193. #478×C79C22semidirect
194. #469×C79C22semidirect
195. #468×C79C22semidirect
196. #463×C79C22semidirect
197. #449×C79C22semidirect
198. #447×C79C22semidirect
199. C4×D8×C79C22semidirect
200. #436×C79C22semidirect
201. #418×C79C22semidirect
202. #417×C79C22semidirect
213. C22×Dic158C23semidirect
229. C2×D4×D79C23semidirect
242. C2×Dic316C23semidirect
243. C2×Dic316C23semidirect
244. C2×#11929614C23semidirect
245. C2×#11929614C23semidirect
250. C2×#11929613C23semidirect
255. C2×#11929612C23semidirect
256. C2×#11929611C23semidirect
264. C2×#11929608C23semidirect
267. C2×#11929607C23semidirect
268. C2×#11929607C23semidirect
276. #14579152C23semidirect
279. #14579149C23semidirect
281. #14579148C23semidirect
308. #14579141C23semidirect
309. #14579141C23semidirect
325. #14579135C23semidirect
351. C4×Dic158C23semidirect
352. #14579126C23semidirect
364. #14579123C23semidirect
384. C4⋊C4×D79C23semidirect
404. #14579094C23semidirect
405. #14579094C23semidirect
406. #14579093C23semidirect
407. #14579092C23semidirect
408. #14579092C23semidirect
409. C4⋊(C79⋊C8)C23semidirect
410. Dic79⋊C8C23semidirect
411. Dic79⋊C8C23semidirect
412. #14579086C23semidirect
413. #14579086C23semidirect
414. #14579086C23semidirect
415. #14579085C23semidirect
416. #14579084C23semidirect
417. #14579084C23semidirect
418. #14579084C23semidirect
419. #14579084C23semidirect
420. #14579084C23semidirect
423. #14579083C23semidirect
426. #14579082C23semidirect
433. #14579081C23semidirect
435. C22⋊(C79⋊C8)C23semidirect
442. (C2×D79)⋊C8C23semidirect
443. (C2×D79)⋊C8C23semidirect
444. C4×C79⋊C8C23semidirect
445. C8×Dic79C23semidirect
446. C8×Dic79C23semidirect
449. C2×SD16×C79C23semidirect
453. C2×M16×C79C23semidirect
455. #125×C79C23semidirect
464. #121×C79C23semidirect
469. C4×D4×C79C23semidirect
471. C2×C4⋊C4×C79C23semidirect
473. #107×C79C23semidirect
474. #107×C79C23semidirect
475. #106×C79C23semidirect
476. C4⋊C8×C79C23semidirect
477. #103×C79C23semidirect
478. #103×C79C23semidirect
479. #103×C79C23semidirect
486. #102×C79C23semidirect
488. C22⋊C8×C79C23semidirect
489. C4×C8×C79C23semidirect
980. #3322D79semidirect
1002. C79#61581semidirect
1016. #553C2×D79semidirect
1036. #546C2×D79semidirect
1063. #488C2×D79semidirect
1067. #485C2×D79semidirect
1075. #480C2×D79semidirect
1079. #478C2×D79semidirect
1087. #469C2×D79semidirect
1095. #468C2×D79semidirect
1107. #463C2×D79semidirect
1129. #449C2×D79semidirect
1143. #447C2×D79semidirect
1151. C4×D8C2×D79semidirect
1159. #436C2×D79semidirect
1165. #418C2×D79semidirect
1169. #417C2×D79semidirect
1230. C2×SD16C22×D79semidirect
1246. C2×M16C22×D79semidirect
1256. #125C22×D79semidirect
1328. #121C22×D79semidirect
1368. C4×D4C22×D79semidirect
1380. C2×C4⋊C4C22×D79semidirect
1403. #107C22×D79semidirect
1404. #107C22×D79semidirect
1408. #106C22×D79semidirect
1412. C4⋊C8C22×D79semidirect
1422. #103C22×D79semidirect
1423. #103C22×D79semidirect
1424. #103C22×D79semidirect
1444. #102C22×D79semidirect
1456. C22⋊C8C22×D79semidirect
1460. C4×C8C22×D79semidirect

Maximal subgroups

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

subgroupindex
#237772292
#546×D792
#237756152
#237756142
#237756132
#237756122
#237756042
#237756022
#237755952
#237750382
#237750362
#237750292
#237750272
#237750112
#237750102
#237750082
#237750062
#237743662
#237743632
#237742342
#237742252
#237742082
#237741962
#237734522
#237734452
#237726612
#237726492
#237726292
#237726242
#237724382
C79×#33222
#6158179