Finite Group Databasebeta

← #34495667

Subgroups — #34495667

Order 20224.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099149C211yesmaximal, characteristic, complemented
2C2×#19099123C211yesmaximal, characteristic, complemented
3#23771744C211yesmaximal, characteristic, complemented
4#23771700C211yesmaximal, characteristic, complemented
5#23770257C211yesmaximal, characteristic, complemented
6#23770252C211yesmaximal, characteristic, complemented
7#23770140C211yesmaximal, characteristic, complemented
8#23770139C211yesmaximal, characteristic, complemented
9#23770084C211yesmaximal, characteristic, complemented
10#23770081C211yesmaximal, characteristic, complemented
11#23770050C211yesmaximal, characteristic, complemented
12#23770047C211yesmaximal, characteristic, complemented
13#23769796C211yesmaximal, characteristic, complemented
14#23769791C211yesmaximal, characteristic, complemented
15#23769722C211yesmaximal, characteristic, complemented
16#23769625C211yesmaximal, characteristic, complemented
17#23769622C211yesmaximal, characteristic, complemented
18#23769614C211yesmaximal, characteristic, complemented
19#23769612C211yesmaximal, characteristic, complemented
20#23769501C211yesmaximal, characteristic, complemented
21#23769327C211yesmaximal, characteristic, complemented
22#23768363C211yesmaximal, characteristic, complemented
23#23768359C211yesmaximal, characteristic, complemented
24#23766836C211yesmaximal, characteristic, complemented
25#23766835C211yesmaximal, characteristic, complemented
26#23766776C211yesmaximal, characteristic, complemented
27#23766770C211yesmaximal, characteristic, complemented
28#23766769C211yesmaximal, characteristic, complemented
29#23766767C211yesmaximal, characteristic, complemented
30#388×D79C211yesmaximal, characteristic, complemented
31C79×#2678C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099149—28no—
35#19099123—28no—
36C2×#14579157C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic, complemented
38C2×#14579154C2211yescharacteristic, complemented
39C2×#14579148C2211yescharacteristic, complemented
40C2×#14579147C2211yescharacteristic, complemented
41C2×#14579147C2211yescharacteristic, complemented
42C2×#14579146C2211yescharacteristic, complemented
43C2×#14579145C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579142C2211yescharacteristic
47C2×#14579141C2211yescharacteristic, complemented
48C2×#14579136C2211yescharacteristic, complemented
49C2×#14579135C2211yescharacteristic, complemented
50C2×#14579134C2211yescharacteristic
51C2×#14579134C2211yescharacteristic
52C2×#14579134C2211yescharacteristic, complemented
53C2×#14579134C2211yescharacteristic, complemented
54C2×#14579134C2211yescharacteristic, complemented
55C2×#14579134C2211yescharacteristic, complemented
56C2×#14579134C2211yescharacteristic, complemented
57C2×#14579134C2211yescharacteristic, complemented
58C2×#14579132C2211yescharacteristic
59C2×#14579132C2211yescharacteristic
60C2×#14579132C2211yescharacteristic, complemented
61C2×#14579132C2211yescharacteristic, complemented
62C2×#14579132C2211yescharacteristic, complemented
63C2×#14579132C2211yescharacteristic, complemented
64C2×#14579131C2211yescharacteristic
65C2×#14579131C2211yescharacteristic, complemented
66C2×#14579130C2211yescharacteristic
67C2×#14579130C2211yescharacteristic, complemented
68C2×#14579129C2211yescharacteristic
69C2×#14579129C2211yescharacteristic
70C2×#14579129C2211yescharacteristic
71C2×#14579129C2211yescharacteristic, complemented
72C2×#14579123C2211yescharacteristic, complemented
73C2×C4×C22⋊D79C2211yescharacteristic, complemented
74C2×C4⋊C4×D79C2211yescharacteristic, complemented
75C2×C22⋊C4×D79C2211yescharacteristic
76C2×C22⋊C4×D79C2211yescharacteristic
77C2×C22⋊C4×D79C2211yescharacteristic
78C2×C42×D79C2211yescharacteristic, complemented
79#19098505C2211yescharacteristic, complemented
80#19098505C2211yescharacteristic, complemented
81#19098500C2211yescharacteristic, complemented
82#19098499C2211yescharacteristic, complemented
83#19098499C2211yescharacteristic, complemented
84#19098499C2211yescharacteristic, complemented
85#19098497C2211yescharacteristic, complemented
86#19098493C2211yescharacteristic, complemented
87#19098491C2211yescharacteristic, complemented
88#19098490C2211yescharacteristic, complemented
89#19098489C2211yescharacteristic, complemented
90#19098486C2211yescharacteristic, complemented
91#19098486C2211yescharacteristic, complemented
92#19098485C2211yescharacteristic, complemented
93#19098480C2211yescharacteristic, complemented
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic, complemented
98#19098479C2211yescharacteristic, complemented
99#19098479C2211yescharacteristic, complemented
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098478C2211yescharacteristic
103#19098478C2211yescharacteristic, complemented
104#19098477C2211yescharacteristic
105#19098477C2211yescharacteristic, complemented
106#19098477C2211yescharacteristic, complemented
107#19098476C2211yescharacteristic, complemented
108#19098475C2211yescharacteristic, complemented
109#19098472C2211yescharacteristic
110#19098472C2211yescharacteristic
111#19098472C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic
115#19098471C2211yescharacteristic
116#19098471C2211yescharacteristic, complemented
117#19098471C2211yescharacteristic, complemented
118#19098471C2211yescharacteristic, complemented
119#19098471C2211yescharacteristic, complemented
120#19098471C2211yescharacteristic, complemented
121#19098469C2211yescharacteristic, complemented
122#19098466C2211yescharacteristic, complemented
123#19098465C2211yescharacteristic, complemented
124#19098463C2211yescharacteristic, complemented
125#19098463C2211yescharacteristic, complemented
126#19098463C2211yescharacteristic, complemented
127#19098463C2211yescharacteristic, complemented
128#19098463C2211yescharacteristic, complemented
129#19098462C2211yescharacteristic, complemented
130#19098458C2211yescharacteristic, complemented
131#19098457C2211yescharacteristic, complemented
132#19098457C2211yescharacteristic, complemented
133#19098457C2211yescharacteristic, complemented
134#19098456C2211yescharacteristic, complemented
135#19098456C2211yescharacteristic, complemented
136#19098456C2211yescharacteristic, complemented
137#19098456C2211yescharacteristic, complemented
138#19098456C2211yescharacteristic, complemented
139#19098455C2211yescharacteristic, complemented
140#19098455C2211yescharacteristic, complemented
141#19098454C2211yescharacteristic, complemented
142#19098453C2211yescharacteristic, complemented
143#19098452C2211yescharacteristic, complemented
144#19098451C2211yescharacteristic, complemented
145#19098451C2211yescharacteristic, complemented
146#19098443C2211yescharacteristic, complemented
147#19098442C2211yescharacteristic, complemented
148#19098441C2211yescharacteristic, complemented
149#19098441C2211yescharacteristic, complemented
150#19098441C2211yescharacteristic, complemented
151#19098440C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098439C2211yescharacteristic, complemented
156#19098439C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098439C2211yescharacteristic, complemented
159#19098439C2211yescharacteristic, complemented
160#19098439C2211yescharacteristic, complemented
161#19098438C2211yescharacteristic, complemented
162#19098437C2211yescharacteristic, complemented
163#19098435C2211yescharacteristic, complemented
164#19098434C2211yescharacteristic, complemented
165#19098432C2211yescharacteristic, complemented
166#19098428C2211yescharacteristic, complemented
167#19098423C2211yescharacteristic, complemented
168#19098422C2211yescharacteristic, complemented
169#19098419C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic, complemented
175C2×#121×C79C2211yescharacteristic, complemented
176C2×#120×C79C2211yescharacteristic
177C2×#120×C79C2211yescharacteristic, complemented
178#397×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic, complemented
182#392×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic, complemented
184#390×C79C2211yescharacteristic, complemented
185#390×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic, complemented
188#379×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×C22⋊D79—24no—
197C22×C22⋊D79—42no—
198C22×C22⋊D79—42no—
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C22×C22⋊D79C2311yescharacteristic
211C22×C22⋊D79C2311yescharacteristic
212C22×C22⋊D79C2311yescharacteristic
213C22×C22⋊D79C2311yescharacteristic
214C22×C22⋊D79C2311yescharacteristic
215C2×D4×D79—24no—
216C2×D4×D79—42no—
217C2×D4×D79—42no—
218C23×Dic79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2311yescharacteristic
227#14579157—42no—
228#14579156—24no—
229#14579154—24no—
230#14579148—42no—
231#14579147—24no—
232#14579147—24no—
233#14579146—24no—
234#14579145—24no—
235#14579143—24no—
236#14579143—24no—
237#14579142—24no—
238#14579141—24no—
239#14579136—42no—
240#14579135—24no—
241#14579134—24no—
242#14579134—24no—
243#14579134—24no—
244#14579134—42no—
245#14579134—42no—
246#14579134—42no—
247#14579134—42no—
248#14579134—42no—
249#14579132—24no—
250#14579132—24no—
251#14579132—24no—
252#14579132—42no—
253#14579132—42no—
254#14579132—42no—
255#14579131—24no—
256#14579131—42no—
257#14579130—24no—
258#14579130—42no—
259#14579129—24no—
260#14579129—24no—
261#14579129—24no—
262#14579129—42no—
263#14579123—24no—
264C4×C22⋊D79—24no—
265C2×C4⋊Dic79C2311yescharacteristic
266C2×C4⋊Dic79C2311yescharacteristic
267C2×C4⋊Dic79C2311yescharacteristic
268C2×C4⋊Dic79C2311yescharacteristic
269C2×C4⋊Dic79C2311yescharacteristic
270C2×C4⋊Dic79C2311yescharacteristic
271C2×C4⋊Dic79C2311yescharacteristic
272C2×C4⋊Dic79C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C2×Dic79⋊C4C2311yescharacteristic
280C2×Dic79⋊C4C2311yescharacteristic
281C2×Dic79⋊C4C2311yescharacteristic
282C2×Dic79⋊C4C2311yescharacteristic
283C4⋊C4×D79—42no—
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×C22⋊Dic79C2311yescharacteristic
296C2×C22⋊Dic79C2311yescharacteristic
297C2×C22⋊Dic79C2311yescharacteristic
298C2×C22⋊Dic79C2311yescharacteristic
299C2×C22⋊Dic79C2311yescharacteristic
300C2×C22⋊Dic79C2311yescharacteristic
301C2×C22⋊Dic79C2311yescharacteristic
302C2×C22⋊Dic79C2311yescharacteristic
303C2×C22⋊Dic79C2311yescharacteristic
304C2×C22⋊Dic79C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C2×(C2×D79)⋊C4C2311yescharacteristic
323C2×(C2×D79)⋊C4C2311yescharacteristic
324C2×(C2×D79)⋊C4C2311yescharacteristic
325C2×(C2×D79)⋊C4C2311yescharacteristic
326C2×(C2×D79)⋊C4C2311yescharacteristic
327C2×(C2×D79)⋊C4C2311yescharacteristic
328C2×(C2×D79)⋊C4C2311yescharacteristic
329C22⋊C4×D79—42no—
330C22⋊C4×D79—42no—
331C22⋊C4×D79D418yescomplemented
332C2×C4×Dic79C2311yescharacteristic
333C2×C4×Dic79C2311yescharacteristic
334C2×C4×Dic79C2311yescharacteristic
335C2×C4×Dic79C2311yescharacteristic
336C2×C4×Dic79C2311yescharacteristic
337C42×D79—42no—
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C79⋊#95C2311yescharacteristic
355C79⋊#95C2311yescharacteristic
356C79⋊#95C2311yescharacteristic
357C79⋊#95C2311yescharacteristic
358C25×C79C2311yescharacteristic
359C22×D4×C79C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C22×D4×C79C2311yescharacteristic
363C22×D4×C79C2311yescharacteristic
364C22×D4×C79C2311yescharacteristic
365C22×D4×C79C2311yescharacteristic
366C23×C4×C79C2311yescharacteristic
367#123×C79—24no—
368#121×C79—42no—
369#120×C79—24no—
370#120×C79—42no—
371C2×C4⋊C4×C79C2311yescharacteristic
372C2×C4⋊C4×C79C2311yescharacteristic
373C2×C4⋊C4×C79C2311yescharacteristic
374C2×C4⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C22⋊C4×C79C2311yescharacteristic
387C2×C22⋊C4×C79C2311yescharacteristic
388C2×C22⋊C4×C79C2311yescharacteristic
389C2×C22⋊C4×C79C2311yescharacteristic
390C2×C22⋊C4×C79C2311yescharacteristic
391C2×C22⋊C4×C79C2311yescharacteristic
392C2×C42×C79C2311yescharacteristic
393#95×C79C2311yescharacteristic
394#95×C79C2311yescharacteristic
395#95×C79C2311yescharacteristic
396#95×C79C2311yescharacteristic
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79—41no—
406C23×D79—41no—
407C23×D79—41no—
408C23×D79—41no—
409C23×D79—41no—
410C23×D79C2×D414yes—
411C23×D79C2411yescharacteristic
412C23×D79C2411yescharacteristic
413C23×D79C2411yescharacteristic
414C23×D79C2411yescharacteristic
415C2×Dic158—22no—
416C2×Dic158—41no—
417C2×Dic158—41no—
418C2×D316—22no—
419C2×D316—22no—
420C2×D316—22no—
421C2×D316—22no—
422C2×D316—22no—
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—22no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—41no—
429C2×D316—41no—
430C2×C22⋊D79—22no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—22no—
436C2×C22⋊D79—22no—
437C2×C22⋊D79—22no—
438C2×C22⋊D79—22no—
439C2×C22⋊D79—22no—
440C2×C22⋊D79—22no—
441C2×C22⋊D79—22no—
442C2×C22⋊D79—22no—
443C2×C22⋊D79—22no—
444C2×C22⋊D79—22no—
445C2×C22⋊D79—22no—
446C2×C22⋊D79—22no—
447C2×C22⋊D79—22no—
448C2×C22⋊D79—22no—
449C2×C22⋊D79—22no—
450C2×C22⋊D79—22no—
451C2×C22⋊D79—22no—
452C2×C22⋊D79—41no—
453C2×C22⋊D79—41no—
454C2×C22⋊D79—41no—
455C2×C22⋊D79—41no—
456C2×C22⋊D79—41no—
457C2×C22⋊D79—41no—
458C2×C22⋊D79—416no—
459C2×C22⋊D79—41no—
460C2×C22⋊D79—41no—
461C2×C22⋊D79—41no—
462C2×C22⋊D79—41no—
463C2×C22⋊D79—41no—
464C2×C22⋊D79—41no—
465C2×C22⋊D79—41no—
466C2×C22⋊D79—41no—
467C2×C22⋊D79—41no—
468C2×C22⋊D79—41no—
469C2×C22⋊D79—41no—
470C2×C22⋊D79—41no—
471C2×C22⋊D79—41no—
472C2×C22⋊D79—41no—
473C2×C22⋊D79—41no—
474C2×C22⋊D79—41no—
475C2×C22⋊D79—41no—
476C2×C22⋊D79—41no—
477C2×C22⋊D79—41no—
478C2×C22⋊D79—41no—
479D4×D79—416no—
480C22×Dic79—22no—
481C22×Dic79—41no—
482C22×Dic79—41no—
483C22×Dic79C2411yescharacteristic
484C22×Dic79C2411yescharacteristic
485C22×Dic79C2411yescharacteristic
486C22×Dic79C2411yescharacteristic
487C22×Dic79C2411yescharacteristic
488C22×Dic79C2411yescharacteristic
489C22×Dic79C2411yescharacteristic
490C22×Dic79C2411yescharacteristic
491C22×Dic79C2411yescharacteristic
492C22×Dic79C2411yescharacteristic
493C22×Dic79C2411yescharacteristic
494C22×Dic79C2411yescharacteristic
495C2×C4×D79—22no—
496C2×C4×D79—22no—
497C2×C4×D79—22no—
498C2×C4×D79—22no—
499C2×C4×D79—22no—
500C2×C4×D79—22no—
501C2×C4×D79—22no—
502C2×C4×D79—22no—
503C2×C4×D79—41no—
504C2×C4×D79—41no—
505C2×C4×D79—41no—
506C2×C4×D79—41no—
507C2×C4×D79—41no—
508C2×C4×D79—41no—
509C2×C4×D79—41no—
510C2×C4×D79—41no—
511C2×C4×D79—41no—
512C2×C4×D79—41no—
513C2×C4×D79—41no—
514C2×C4×D79—41no—
515C2×C4×D79—41no—
516C2×C4×D79—41no—
517C2×C4×D79C2×D414yes—
518C2×C4×D79C2×D414yes—
519C4⋊Dic79—22no—
520C4⋊Dic79—22no—
521C4⋊Dic79—22no—
522C4⋊Dic79—22no—
523C4⋊Dic79—41no—
524C4⋊Dic79—41no—
525C4⋊Dic79—41no—
526C4⋊Dic79—41no—
527Dic79⋊C4—22no—
528Dic79⋊C4—22no—
529Dic79⋊C4—22no—
530Dic79⋊C4—22no—
531Dic79⋊C4—22no—
532Dic79⋊C4—41no—
533Dic79⋊C4—41no—
534Dic79⋊C4—41no—
535Dic79⋊C4—41no—
536Dic79⋊C4—41no—
537C22⋊Dic79—22no—
538C22⋊Dic79—22no—
539C22⋊Dic79—22no—
540C22⋊Dic79—22no—
541C22⋊Dic79—22no—
542C22⋊Dic79—22no—
543C22⋊Dic79—22no—
544C22⋊Dic79—22no—
545C22⋊Dic79—22no—
546C22⋊Dic79—41no—
547C22⋊Dic79—41no—
548C22⋊Dic79—41no—
549C22⋊Dic79—41no—
550C22⋊Dic79—41no—
551C22⋊Dic79—41no—
552C22⋊Dic79—41no—
553C22⋊Dic79—41no—
554C22⋊Dic79—41no—
555C22⋊Dic79—41no—
556C22⋊Dic79—41no—
557C22⋊Dic79C2×D414yes—
558(C2×D79)⋊C4—22no—
559(C2×D79)⋊C4—22no—
560(C2×D79)⋊C4—22no—
561(C2×D79)⋊C4—22no—
562(C2×D79)⋊C4—22no—
563(C2×D79)⋊C4—22no—
564(C2×D79)⋊C4—22no—
565(C2×D79)⋊C4—22no—
566(C2×D79)⋊C4—22no—
567(C2×D79)⋊C4—22no—
568(C2×D79)⋊C4—41no—
569(C2×D79)⋊C4—41no—
570(C2×D79)⋊C4—41no—
571(C2×D79)⋊C4—41no—
572(C2×D79)⋊C4—41no—
573(C2×D79)⋊C4—41no—
574(C2×D79)⋊C4—41no—
575(C2×D79)⋊C4—41no—
576(C2×D79)⋊C4—41no—
577(C2×D79)⋊C4—41no—
578(C2×D79)⋊C4—41no—
579(C2×D79)⋊C4—41no—
580(C2×D79)⋊C4C2×D414yes—
581(C2×D79)⋊C4C2×D414yes—
582C4×Dic79—22no—
583C4×Dic79—22no—
584C4×Dic79—22no—
585C4×Dic79—22no—
586C4×Dic79—41no—
587C24×C79—22no—
588C24×C79—41no—
589C24×C79—41no—
590C24×C79—41no—
591C24×C79—41no—
592C24×C79—41no—
593C24×C79—41no—
594C24×C79C2411yescharacteristic
595C24×C79C2411yescharacteristic
596C24×C79C2411yescharacteristic
597C24×C79C2411yescharacteristic
598C24×C79C2411yescharacteristic
599C2×D4×C79—22no—
600C2×D4×C79—22no—
601C2×D4×C79—22no—
602C2×D4×C79—22no—
603C2×D4×C79—22no—
604C2×D4×C79—41no—
605C2×D4×C79—41no—
606C2×D4×C79—41no—
607C2×D4×C79—41no—
608C2×D4×C79—41no—
609C2×D4×C79—41no—
610C2×D4×C79—41no—
611C2×D4×C79—41no—
612C2×D4×C79—41no—
613C2×D4×C79—41no—
614C2×D4×C79—41no—
615C2×D4×C79—41no—
616C2×D4×C79—41no—
617C2×D4×C79—41no—
618C2×D4×C79—41no—
619C2×D4×C79—41no—
620C22×C4×C79—22no—
621C22×C4×C79—41no—
622C22×C4×C79—41no—
623C22×C4×C79C2411yescharacteristic
624C22×C4×C79C2411yescharacteristic
625C22×C4×C79C2411yescharacteristic
626C22×C4×C79C2411yescharacteristic
627C22×C4×C79C2411yescharacteristic
628C22×C4×C79C2411yescharacteristic
629C22×C4×C79C2411yescharacteristic
630C22×C4×C79C2411yescharacteristic
631C22×C4×C79C2411yescharacteristic
632C22×C4×C79C2411yescharacteristic
633C4⋊C4×C79—22no—
634C4⋊C4×C79—22no—
635C4⋊C4×C79—22no—
636C4⋊C4×C79—41no—
637C22⋊C4×C79—22no—
638C22⋊C4×C79—22no—
639C22⋊C4×C79—22no—
640C22⋊C4×C79—22no—
641C22⋊C4×C79—22no—
642C22⋊C4×C79—22no—
643C22⋊C4×C79—22no—
644C22⋊C4×C79—41no—
645C22⋊C4×C79—41no—
646C22⋊C4×C79—41no—
647C22⋊C4×C79—41no—
648C22⋊C4×C79—41no—
649C22⋊C4×C79—41no—
650C22⋊C4×C79—41no—
651C22⋊C4×C79—41no—
652C22⋊C4×C79—41no—
653C22⋊C4×C79C2×D414yes—
654C42×C79—41no—
655C23×C79—21no—
656C23×C79—21no—
657C23×C79—21no—
658C23×C79—21no—
659C23×C79—21no—
660C23×C79—21no—
661C23×C79—21no—
662C23×C79—21no—
663C23×C79—21no—
664C23×C79—21no—
665C23×C79—21no—
666C23×C79—21no—
667C23×C79—21no—
668C23×C79—21no—
669C23×C79—21no—
670C23×C79—21no—
671C23×C79—21no—
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79—21no—
677C23×C79—21no—
678C23×C79—21no—
679C23×C79—21no—
680C23×C79—21no—
681C23×C79—21no—
682C23×C79—21no—
683C23×C79—21no—
684C23×C79—21no—
685C23×C79—21no—
686C23×C79—21no—
687C23×C79—21no—
688C23×C79—21no—
689C23×C79—44no—
690C23×C79—82no—
691C23×C79—82no—
692C23×C79—82no—
693C23×C79—82no—
694C23×C79—82no—
695C23×C79—82no—
696C23×C79C22×D412yes—
697C23×C79C2511yescharacteristic
698C22×D79—21no—
699C22×D79—21no—
700C22×D79—21no—
701C22×D79—21no—
702C22×D79—21no—
703C22×D79—21no—
704C22×D79—21no—
705C22×D79—21no—
706C22×D79—21no—
707C22×D79—21no—
708C22×D79—28no—
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—21no—
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—21no—
721C22×D79—21no—
722C22×D79—21no—
723C22×D79—44no—
724C22×D79—44no—
725C22×D79—44no—
726C22×D79—82no—
727C22×D79—82no—
728C22×D79—82no—
729C22×D79—82no—
730C22×D79—82no—
731C22×D79—82no—
732C22×D79—82no—
733C22×D79—82no—
734C22×D79—82no—
735C22×D79—82no—
736C22×D79C22×D412yes—
737C22×D79C22×D412yes—
738C22×D79H(5,𝔽2)12yes—
739C22×D79H(5,𝔽2)12yes—
740D4×C79—44no—
741D4×C79—82no—
742D4×C79—82no—
743D4×C79—82no—
744D4×C79—82no—
745D4×C79—82no—
746D4×C79—82no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
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—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—82no—
775C2×C4×C79C22×D412yes—
776C2×C4×C79C22×D412yes—
777C2×C4×C79H(5,𝔽2)12yes—
778C22⋊D79—44no—
779C22⋊D79—44no—
780C22⋊D79—44no—
781C22⋊D79—44no—
782C22⋊D79—44no—
783C22⋊D79—44no—
784C22⋊D79—44no—
785C22⋊D79—82no—
786C22⋊D79—82no—
787C22⋊D79—82no—
788C22⋊D79—82no—
789C22⋊D79—82no—
790C22⋊D79—82no—
791C22⋊D79—82no—
792C22⋊D79—82no—
793C22⋊D79—82no—
794C2×Dic79—21no—
795C2×Dic79—21no—
796C2×Dic79—21no—
797C2×Dic79—21no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—44no—
828C2×Dic79C22×D412yes—
829C2×Dic79C22×D412yes—
830C2×Dic79H(5,𝔽2)12yes—
831D316—44no—
832D316—44no—
833D316—82no—
834D316—82no—
835C4×D79—44no—
836C4×D79—44no—
837C4×D79—44no—
838C4×D79—44no—
839C4×D79—44no—
840C4×D79—82no—
841C4×D79—82no—
842C4×D79—82no—
843Dic158—82no—
844C22×C79—22no—
845C22×C79—22no—
846C22×C79—22no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—41no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—41no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—41no—
870C22×C79—41no—
871C22×C79—41no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79—41no—
876C22×C79—41no—
877C22×C79—41no—
878C22×C79—41no—
879C22×C79—88no—
880C22×C79C23×D411yescharacteristic
881C22×C79C2×H(5,𝔽2)11yescharacteristic
882C22×C79C2×H(5,𝔽2)11yescharacteristic
883C22×C79C2×H(5,𝔽2)11yescharacteristic
884C22×C79C2×H(5,𝔽2)11yescharacteristic
885C22×C79#58511yescharacteristic
886C22×C79#58511yescharacteristic
887C2×D79—22no—
888C2×D79—22no—
889C2×D79—22no—
890C2×D79—22no—
891C2×D79—22no—
892C2×D79—22no—
893C2×D79—22no—
894C2×D79—22no—
895C2×D79—22no—
896C2×D79—41no—
897C2×D79—41no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—88no—
915C2×D79—88no—
916C2×D79#53514yes—
917C4×C79—22no—
918C4×C79—22no—
919C4×C79—22no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79—41no—
925C4×C79—41no—
926C4×C79—41no—
927Dic79—22no—
928Dic79—22no—
929Dic79—22no—
930Dic79—41no—
931Dic79—41no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937Dic79—41no—
938Dic79—41no—
939#36739—791nomaximal, Sylow
940C2×C79—42no—
941C2×C79—81no—
942C2×C79—81no—
943C2×C79—81no—
944C2×C79—81no—
945C2×C79C2×#53511yescharacteristic
946C2×C79#349611yescharacteristic
947C2×C79#349611yescharacteristic
948C2×C79#353411yescharacteristic
949C2×C79#353711yescharacteristic
950C2×C79#355811yescharacteristic
951C2×C79#356011yescharacteristic
952D79—24no—
953D79—42no—
954D79—81no—
955D79—81no—
956C2×#538—791no—
957C2×#534—791no—
958#2856—791no—
959#2850—791no—
960#2718—791no—
961#2718—791no—
962#2710—791no—
963#2710—791no—
964#2706—791no—
965#2706—791no—
966#2703—791no—
967#2703—791no—
968#2685—791no—
969#2685—791no—
970#2678—791no—
971#2678D7911yescharacteristic, complemented
972#2670—791no—
973#2670—791no—
974#2669—791no—
975#2669—791no—
976#2656—791no—
977#2639—791no—
978#2543—791no—
979#2543—791no—
980#2416—791no—
981#2416—791no—
982#2410—791no—
983#2410—791no—
984#2410—791no—
985#2410—791no—
986C2×#388—791no—
987C79#3673911yescharacteristic, complemented, Sylow
988C23×D4—791no—
989C23×D4—791no—
990#538—1588no—
991#534—1588no—
992C2×#127—791no—
993C2×#126—791no—
994C2×#126—791no—
995C2×#124—791no—
996C2×#124—791no—
997C2×#124—791no—
998C2×#123—791no—
999C2×#123—791no—
1000C2×#123—791no—
1001C2×#123—791no—
1002C2×#123—791no—
1003C2×#123C2×D7911yescharacteristic, complemented
1004C2×C22⋊Q8—791no—
1005C2×#121—791no—
1006C2×#121—791no—
1007C2×#121—791no—
1008C2×#121—791no—
1009C2×#121—791no—
1010C2×#121—791no—
1011C2×#121—791no—
1012C2×#121—791no—
1013C2×#121—791no—
1014C2×#121—791no—
1015C2×#121—791no—
1016C2×#121—791no—
1017C2×#121—791no—
1018C2×#121—791no—
1019C2×#121—791no—
1020C2×#121—791no—
1021C2×#121C2×D7911yescharacteristic, complemented
1022C2×#120—791no—
1023C2×#120—791no—
1024C2×#120—791no—
1025C2×#120—791no—
1026C2×#120—791no—
1027C2×#120—791no—
1028C2×#120—791no—
1029C2×#120—791no—
1030C2×#120C2×D7911yescharacteristic
1031C2×#120C2×D7911yescharacteristic, complemented
1032C2×C4×D4—791no—
1033C2×C4×D4—791no—
1034C22×C4⋊C4—791no—
1035C22×C22⋊C4—791no—
1036C22×C22⋊C4—791no—
1037C22×C22⋊C4—791no—
1038C22×C42—791no—
1039#400—791no—
1040#400—791no—
1041#399—791no—
1042#399—791no—
1043#399—791no—
1044#399—791no—
1045#398—791no—
1046#398—791no—
1047#397—791no—
1048#397—791no—
1049#397—791no—
1050#397C2×D7911yescharacteristic, complemented
1051#396—791no—
1052#396—791no—
1053#396—791no—
1054#396C2×D7911yescharacteristic, complemented
1055#394—791no—
1056#394—791no—
1057#394—791no—
1058#394—791no—
1059#394—791no—
1060#394—791no—
1061#394—791no—
1062#394—791no—
1063#394—791no—
1064#394—791no—
1065#394—791no—
1066#394—791no—
1067#394—791no—
1068#394—791no—
1069#394C2×D7911yescharacteristic
1070#394C2×D7911yescharacteristic, complemented
1071#393—791no—
1072#393—791no—
1073#392—791no—
1074#392—791no—
1075#392—791no—
1076#392—791no—
1077#392—791no—
1078#392—791no—
1079#392—791no—
1080#392—791no—
1081#392—791no—
1082#392—791no—
1083#392—791no—
1084#392—791no—
1085#392C2×D7911yescharacteristic
1086#392C2×D7911yescharacteristic, complemented
1087#391—791no—
1088#390—791no—
1089#390—791no—
1090#390—791no—
1091#390—791no—
1092#390—791no—
1093#390—791no—
1094#390—791no—
1095#390C2×D7911yescharacteristic, complemented
1096#390C2×D7911yescharacteristic, complemented
1097#389—791no—
1098#389—791no—
1099#388—791no—
1100#388—791no—
1101#388—791no—
1102#388—791no—
1103#388—791no—
1104#388—791no—
1105#388—791no—
1106#388—791no—
1107#388—791no—
1108#388—791no—
1109#388—791no—
1110#388—791no—
1111#388—791no—
1112#388—791no—
1113#388—791no—
1114#388C2×D7911yescharacteristic, complemented
1115#386—791no—
1116#386—791no—
1117#386—791no—
1118#386—791no—
1119#386—791no—
1120#386—791no—
1121#386—791no—
1122#386—791no—
1123#386—791no—
1124#386—791no—
1125#386—791no—
1126#386—791no—
1127#386—791no—
1128#386—791no—
1129#386—791no—
1130#386C2×D7911yescharacteristic, complemented
1131#385—791no—
1132#385—791no—
1133#385—791no—
1134#385—791no—
1135#384—791no—
1136#382—791no—
1137#380—791no—
1138#380—791no—
1139#379—791no—
1140#379—791no—
1141#379—791no—
1142#379C2×D7911yescharacteristic, complemented
1143C2×#95—791no—
1144C2×#95—791no—
1145C25—791no—
1146C25—791no—
1147C25C22×D7911yescharacteristic
1148C22×Q8—791no—
1149C22×D4—3162no—
1150C22×D4—3162no—
1151C22×D4—3162no—
1152C22×D4—3162no—
1153C22×D4—791no—
1154C22×D4—791no—
1155C22×D4—791no—
1156C22×D4—791no—
1157C22×D4—791no—
1158C22×D4—791no—
1159C22×D4—791no—
1160C22×D4—791no—
1161C22×D4—791no—
1162C22×D4—791no—
1163C22×D4—791no—
1164C22×D4—791no—
1165C22×D4—791no—
1166C22×D4—791no—
1167C22×D4—791no—
1168C22×D4—791no—
1169C22×D4—791no—
1170C22×D4—791no—
1171C22×D4—791no—
1172C22×D4—791no—
1173C22×D4—1584no—
1174C22×D4—1584no—
1175C22×D4C22×D7911yescharacteristic
1176C22×D4C22×D7911yescharacteristic
1177C22×D4C22×D7911yescharacteristic
1178C22×D4C22×D7911yescharacteristic
1179C22×D4C22×D7911yescharacteristic
1180C22×D4C22×D7911yescharacteristic
1181C22×D4C22×D7911yescharacteristic
1182C23×C4—791no—
1183C23×C4—791no—
1184C23×C4—791no—
1185C23×C4—791no—
1186C23×C4—791no—
1187C23×C4—791no—
1188C23×C4—791no—
1189C23×C4—791no—
1190C23×C4—791no—
1191C23×C4C22×D7911yescharacteristic
1192#127—3162no—
1193#126—1584no—
1194#126—1584no—
1195#124—3162no—
1196#124—1584no—
1197#124—1584no—
1198#123—24no—
1199#123—1584no—
1200#123—1584no—
1201#123—1584no—
1202#123—1584no—
1203#123—1584no—
1204C22⋊Q8—1584no—
1205#121—42no—
1206#121—3162no—
1207#121—3162no—
1208#121—3162no—
1209#121—3162no—
1210#121—3162no—
1211#121—3162no—
1212#121—3162no—
1213#121—3162no—
1214#121—3162no—
1215#121—1584no—
1216#121—1584no—
1217#121—1584no—
1218#121—1584no—
1219#121—1584no—
1220#121—1584no—
1221#121—1584no—
1222#120—24no—
1223#120—42no—
1224#120—3162no—
1225#120—3162no—
1226#120—3162no—
1227#120—1584no—
1228#120—1584no—
1229#120—1584no—
1230#120—1584no—
1231#120—1584no—
1232C4×D4—1584no—
1233C4×D4—1584no—
1234C2×C4⋊C4—3162no—
1235C2×C4⋊C4—791no—
1236C2×C4⋊C4—791no—
1237C2×C4⋊C4—791no—
1238C2×C4⋊C4—791no—
1239C2×C4⋊C4—791no—
1240C2×C4⋊C4—791no—
1241C2×C4⋊C4—791no—
1242C2×C4⋊C4—791no—
1243C2×C4⋊C4—791no—
1244C2×C4⋊C4—791no—
1245C2×C4⋊C4—791no—
1246C2×C4⋊C4—791no—
1247C2×C4⋊C4—791no—
1248C2×C4⋊C4—791no—
1249C2×C4⋊C4—791no—
1250C2×C4⋊C4—791no—
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4C22×D7911yescharacteristic
1254C2×C4⋊C4C22×D7911yescharacteristic
1255C2×C4⋊C4C22×D7911yescharacteristic
1256C2×C4⋊C4C22×D7911yescharacteristic
1257C2×C22⋊C4—3162no—
1258C2×C22⋊C4—3162no—
1259C2×C22⋊C4—791no—
1260C2×C22⋊C4—791no—
1261C2×C22⋊C4—791no—
1262C2×C22⋊C4—791no—
1263C2×C22⋊C4—791no—
1264C2×C22⋊C4—791no—
1265C2×C22⋊C4—791no—
1266C2×C22⋊C4—791no—
1267C2×C22⋊C4—791no—
1268C2×C22⋊C4—791no—
1269C2×C22⋊C4—791no—
1270C2×C22⋊C4—791no—
1271C2×C22⋊C4—791no—
1272C2×C22⋊C4—791no—
1273C2×C22⋊C4—791no—
1274C2×C22⋊C4—791no—
1275C2×C22⋊C4—791no—
1276C2×C22⋊C4—791no—
1277C2×C22⋊C4—791no—
1278C2×C22⋊C4—791no—
1279C2×C22⋊C4—791no—
1280C2×C22⋊C4—791no—
1281C2×C22⋊C4—791no—
1282C2×C22⋊C4—791no—
1283C2×C22⋊C4—791no—
1284C2×C22⋊C4—791no—
1285C2×C22⋊C4—798no—
1286C2×C22⋊C4—791no—
1287C2×C22⋊C4—791no—
1288C2×C22⋊C4—791no—
1289C2×C22⋊C4—791no—
1290C2×C22⋊C4—791no—
1291C2×C22⋊C4—791no—
1292C2×C22⋊C4—791no—
1293C2×C22⋊C4—791no—
1294C2×C22⋊C4—791no—
1295C2×C22⋊C4—791no—
1296C2×C22⋊C4—791no—
1297C2×C22⋊C4—791no—
1298C2×C22⋊C4—791no—
1299C2×C22⋊C4—791no—
1300C2×C22⋊C4—791no—
1301C2×C22⋊C4—791no—
1302C2×C22⋊C4—791no—
1303C2×C22⋊C4—791no—
1304C2×C22⋊C4—791no—
1305C2×C22⋊C4C22×D7911yescharacteristic
1306C2×C22⋊C4C22×D7911yescharacteristic
1307C2×C22⋊C4C22×D7911yescharacteristic
1308C2×C22⋊C4C22×D7911yescharacteristic
1309C2×C22⋊C4C22×D7911yescharacteristic
1310C2×C22⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4C22×D7911yescharacteristic
1312C2×C22⋊C4C22×D7911yescharacteristic
1313C2×C22⋊C4C22×D7911yescharacteristic
1314C2×C22⋊C4C22×D7911yescharacteristic
1315C2×C22⋊C4C22×D7911yescharacteristic
1316C2×C22⋊C4C22×D7911yescharacteristic
1317C2×C22⋊C4C22×D7911yescharacteristic
1318C2×C22⋊C4C22×D7911yescharacteristic
1319C2×C22⋊C4C22×D7911yescharacteristic
1320C2×C22⋊C4C22×D7911yescharacteristic
1321C2×C22⋊C4C22×D7911yescharacteristic
1322C2×C42—3162no—
1323C2×C42—791no—
1324C2×C42—791no—
1325C2×C42—791no—
1326C2×C42—791no—
1327C2×C42—791no—
1328C2×C42C22×D7911yescharacteristic
1329#95—791no—
1330#95—791no—
1331#95—791no—
1332#95—791no—
1333#95—791no—
1334#95—791no—
1335#95—791no—
1336#95—791no—
1337#95—791no—
1338#95—791no—
1339#95—791no—
1340#95—791no—
1341#95—791no—
1342#95—791no—
1343#95—791no—
1344#95—791no—
1345#95—791no—
1346#95—791no—
1347#95—791no—
1348#95—791no—
1349#95C22×D7911yescharacteristic
1350#95C22×D7911yescharacteristic
1351#95C22×D7911yescharacteristic
1352#95C22×D7911yescharacteristic
1353C24—22no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—3161no—
1361C24—3161no—
1362C24—3161no—
1363C24—3161no—
1364C24—3161no—
1365C24—3161no—
1366C24—3161no—
1367C24—3161no—
1368C24—3161no—
1369C24—3161no—
1370C24—794no—
1371C24—791no—
1372C24—791no—
1373C24—791no—
1374C24—791no—
1375C24—1582no—
1376C24—1582no—
1377C24—1582no—
1378C24C23×D7911yescharacteristic
1379C24C23×D7911yescharacteristic
1380C24C23×D7911yescharacteristic
1381C24C23×D7911yescharacteristic
1382C24C23×D7911yescharacteristic
1383C2×Q8—3161no—
1384C2×Q8—3161no—
1385C2×Q8—1582no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—3161no—
1408C2×D4—3161no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—31616no—
1412C2×D4—31616no—
1413C2×D4—3161no—
1414C2×D4—3161no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—3161no—
1419C2×D4—3161no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—3161no—
1424C2×D4—3161no—
1425C2×D4—3161no—
1426C2×D4—3161no—
1427C2×D4—3161no—
1428C2×D4—3161no—
1429C2×D4—3161no—
1430C2×D4—3161no—
1431C2×D4—3161no—
1432C2×D4—3161no—
1433C2×D4—3161no—
1434C2×D4—3161no—
1435C2×D4—3161no—
1436C2×D4—3161no—
1437C2×D4—3161no—
1438C2×D4—3161no—
1439C2×D4—1582no—
1440C2×D4—1582no—
1441C2×D4—1582no—
1442C2×D4—1582no—
1443C2×D4—1582no—
1444C2×D4—1582no—
1445C2×D4—1582no—
1446C2×D4—1582no—
1447C2×D4—1582no—
1448C2×D4—1582no—
1449C2×D4—1582no—
1450C2×D4—1582no—
1451C2×D4—1582no—
1452C2×D4—1582no—
1453C2×D4—1582no—
1454C2×D4—1582no—
1455C2×D4—1582no—
1456C2×D4—1582no—
1457C2×D4—1582no—
1458C2×D4—1582no—
1459C2×D4—1582no—
1460C2×D4—1582no—
1461C2×D4—1582no—
1462C2×D4—1582no—
1463C2×D4—1582no—
1464C2×D4—1582no—
1465C2×D4—1582no—
1466C2×D4—1582no—
1467C2×D4—1582no—
1468C2×D4—1582no—
1469C22×C4—22no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—3161no—
1473C22×C4—3161no—
1474C22×C4—3161no—
1475C22×C4—3161no—
1476C22×C4—3161no—
1477C22×C4—3161no—
1478C22×C4—3161no—
1479C22×C4—3161no—
1480C22×C4—3161no—
1481C22×C4—3161no—
1482C22×C4—3161no—
1483C22×C4—3161no—
1484C22×C4—3161no—
1485C22×C4—3161no—
1486C22×C4—3161no—
1487C22×C4—3161no—
1488C22×C4—794no—
1489C22×C4—794no—
1490C22×C4—791no—
1491C22×C4—791no—
1492C22×C4—791no—
1493C22×C4—791no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—791no—
1500C22×C4—791no—
1501C22×C4—791no—
1502C22×C4—1582no—
1503C22×C4—1582no—
1504C22×C4—1582no—
1505C22×C4—1582no—
1506C22×C4—1582no—
1507C22×C4—1582no—
1508C22×C4—1582no—
1509C22×C4—1582no—
1510C22×C4—1582no—
1511C22×C4C23×D7911yescharacteristic
1512C22×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515C22×C4C23×D7911yescharacteristic
1516C22×C4C23×D7911yescharacteristic
1517C22×C4C23×D7911yescharacteristic
1518C22×C4C23×D7911yescharacteristic
1519C22×C4C23×D7911yescharacteristic
1520C22×C4C23×D7911yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—41no—
1525C4⋊C4—3161no—
1526C4⋊C4—3161no—
1527C4⋊C4—3161no—
1528C4⋊C4—3161no—
1529C4⋊C4—3161no—
1530C4⋊C4—3161no—
1531C4⋊C4—3161no—
1532C4⋊C4—3161no—
1533C4⋊C4—3161no—
1534C4⋊C4—1582no—
1535C4⋊C4—1582no—
1536C4⋊C4—1582no—
1537C4⋊C4—1582no—
1538C4⋊C4—1582no—
1539C4⋊C4—1582no—
1540C4⋊C4—1582no—
1541C4⋊C4—1582no—
1542C4⋊C4—1582no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—41no—
1559C22⋊C4—3161no—
1560C22⋊C4—3161no—
1561C22⋊C4—3161no—
1562C22⋊C4—3161no—
1563C22⋊C4—3161no—
1564C22⋊C4—3161no—
1565C22⋊C4—3161no—
1566C22⋊C4—3161no—
1567C22⋊C4—3161no—
1568C22⋊C4—3161no—
1569C22⋊C4—3161no—
1570C22⋊C4—3161no—
1571C22⋊C4—3161no—
1572C22⋊C4—3161no—
1573C22⋊C4—3161no—
1574C22⋊C4—3161no—
1575C22⋊C4—3161no—
1576C22⋊C4—3161no—
1577C22⋊C4—3161no—
1578C22⋊C4—3161no—
1579C22⋊C4—3161no—
1580C22⋊C4—3161no—
1581C22⋊C4—3161no—
1582C22⋊C4—794no—
1583C22⋊C4—794no—
1584C22⋊C4—794no—
1585C22⋊C4—1582no—
1586C22⋊C4—1582no—
1587C22⋊C4—1582no—
1588C22⋊C4—1582no—
1589C22⋊C4—1582no—
1590C22⋊C4—1582no—
1591C22⋊C4—1582no—
1592C22⋊C4—1582no—
1593C22⋊C4—1582no—
1594C22⋊C4—1582no—
1595C22⋊C4—1582no—
1596C22⋊C4—1582no—
1597C22⋊C4—1582no—
1598C22⋊C4—1582no—
1599C22⋊C4—1582no—
1600C22⋊C4—1582no—
1601C22⋊C4—1582no—
1602C22⋊C4—1582no—
1603C22⋊C4—1582no—
1604C22⋊C4D4×D7914yes—
1605C42—41no—
1606C42—3161no—
1607C42—1582no—
1608C42—1582no—
1609C42—1582no—
1610C42—1582no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—44no—
1646C23—82no—
1647C23—82no—
1648C23—82no—
1649C23—82no—
1650C23—82no—
1651C23—82no—
1652C23—3164no—
1653C23—3164no—
1654C23—3164no—
1655C23—792no—
1656C23—792no—
1657C23—792no—
1658C23—792no—
1659C23—6322no—
1660C23—6322no—
1661C23—6322no—
1662C23—6322no—
1663C23—6322no—
1664C23—6322no—
1665C23—6322no—
1666C23—6322no—
1667C23—6322no—
1668C23—6322no—
1669C23—1588no—
1670C23—1581no—
1671C23—1581no—
1672C23—1581no—
1673C23—1581no—
1674C23—1581no—
1675C23—1581no—
1676C23—1581no—
1677C23—1581no—
1678C23—1581no—
1679C23—1581no—
1680C23—1581no—
1681C23—1581no—
1682C23—1581no—
1683C23—1581no—
1684C23—1581no—
1685C23—1581no—
1686C23—1581no—
1687C23—1581no—
1688C23—1581no—
1689C23—1581no—
1690C23—1581no—
1691C23—1581no—
1692C23—1581no—
1693C23—1581no—
1694C23C2×D4×D7912yes—
1695C23C24×D7911yescharacteristic
1696Q8—6322no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—3164no—
1705D4—3164no—
1706D4—3164no—
1707D4—3164no—
1708D4—3164no—
1709D4—3164no—
1710D4—3164no—
1711D4—3164no—
1712D4—3164no—
1713D4—6322no—
1714D4—6322no—
1715D4—6322no—
1716D4—6322no—
1717D4—6322no—
1718D4—6322no—
1719D4—6322no—
1720D4—6322no—
1721D4—6322no—
1722D4—6322no—
1723D4—6322no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—82no—
1752C2×C4—3164no—
1753C2×C4—3164no—
1754C2×C4—3164no—
1755C2×C4—3164no—
1756C2×C4—3164no—
1757C2×C4—3164no—
1758C2×C4—792no—
1759C2×C4—792no—
1760C2×C4—792no—
1761C2×C4—6322no—
1762C2×C4—6322no—
1763C2×C4—6322no—
1764C2×C4—1581no—
1765C2×C4—1581no—
1766C2×C4—1581no—
1767C2×C4—1581no—
1768C2×C4—1581no—
1769C2×C4—1581no—
1770C2×C4—1581no—
1771C2×C4—1581no—
1772C2×C4—1581no—
1773C2×C4—1581no—
1774C2×C4—1581no—
1775C2×C4—1581no—
1776C2×C4—1581no—
1777C2×C4—1581no—
1778C2×C4—1581no—
1779C2×C4—1581no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1581no—
1787C2×C4—1581no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4C2×D4×D7912yes—
1798C2×C4C2×D4×D7912yes—
1799C2×C4#1457920612yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—88no—
1836C22—3161no—
1837C22—3161no—
1838C22—3161no—
1839C22—3161no—
1840C22—3161no—
1841C22—3161no—
1842C22—3161no—
1843C22—3161no—
1844C22—3161no—
1845C22—3161no—
1846C22—3161no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—794no—
1855C22—6328no—
1856C22—6328no—
1857C22—1582no—
1858C22—1582no—
1859C22—1582no—
1860C22—1582no—
1861C22—1582no—
1862C22—1582no—
1863C22—1582no—
1864C22—1582no—
1865C22—1582no—
1866C22C22×D4×D7911yescharacteristic
1867C22H(5,𝔽2)×D7911yescharacteristic
1868C22H(5,𝔽2)×D7911yescharacteristic
1869C22H(5,𝔽2)×D7911yescharacteristic
1870C22C2×#1457920611yescharacteristic
1871C22#1909939811yescharacteristic
1872C22#1909939911yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—3161no—
1884C4—3161no—
1885C4—3161no—
1886C4—3161no—
1887C4—3161no—
1888C4—3161no—
1889C4—3161no—
1890C4—3161no—
1891C4—3161no—
1892C4—1582no—
1893C4—1582no—
1894C4—1582no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—81no—
1900C2—3162no—
1901C2—6321no—
1902C2—6321no—
1903C2—1584no—
1904C2#535×D7911yescharacteristic
1905C2#2377715611yescharacteristic
1906C2#2377716011yescharacteristic
1907C2#2377758111yescharacteristic
1908C2#2377763711yescharacteristic
1909C2#2377790911yescharacteristic
1910C2#2377794511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2678C2
hypercenter#2678D79
hypocenterC79#36739
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#19099149C2semidirect
2. C2×#19099123C2semidirect
3. #23771744C2semidirect
4. #23771700C2semidirect
5. #23770257C2semidirect
6. #23770252C2semidirect
7. #23770140C2semidirect
8. #23770139C2semidirect
9. #23770084C2semidirect
10. #23770081C2semidirect
11. #23770050C2semidirect
12. #23770047C2semidirect
13. #23769796C2semidirect
14. #23769791C2semidirect
15. #23769722C2semidirect
16. #23769625C2semidirect
17. #23769622C2semidirect
18. #23769614C2semidirect
19. #23769612C2semidirect
20. #23769501C2semidirect
21. #23769327C2semidirect
22. #23768363C2semidirect
23. #23768359C2semidirect
24. #23766836C2semidirect
25. #23766835C2semidirect
26. #23766776C2semidirect
27. #23766770C2semidirect
28. #23766769C2semidirect
29. #23766767C2semidirect
30. #388×D79C2semidirect
31. C79×#2678C2semidirect
36. C2×#14579157C22semidirect
37. C2×#14579156C22semidirect
38. C2×#14579154C22semidirect
39. C2×#14579148C22semidirect
40. C2×#14579147C22semidirect
41. C2×#14579147C22semidirect
42. C2×#14579146C22semidirect
47. C2×#14579141C22semidirect
48. C2×#14579136C22semidirect
49. C2×#14579135C22semidirect
52. C2×#14579134C22semidirect
53. C2×#14579134C22semidirect
54. C2×#14579134C22semidirect
55. C2×#14579134C22semidirect
56. C2×#14579134C22semidirect
57. C2×#14579134C22semidirect
60. C2×#14579132C22semidirect
61. C2×#14579132C22semidirect
62. C2×#14579132C22semidirect
63. C2×#14579132C22semidirect
65. C2×#14579131C22semidirect
67. C2×#14579130C22semidirect
71. C2×#14579129C22semidirect
72. C2×#14579123C22semidirect
73. C2×C4×C22⋊D79C22semidirect
74. C2×C4⋊C4×D79C22semidirect
78. C2×C42×D79C22semidirect
79. #19098505C22semidirect
80. #19098505C22semidirect
81. #19098500C22semidirect
82. #19098499C22semidirect
83. #19098499C22semidirect
84. #19098499C22semidirect
85. #19098497C22semidirect
86. #19098493C22semidirect
87. #19098491C22semidirect
88. #19098490C22semidirect
89. #19098489C22semidirect
90. #19098486C22semidirect
91. #19098486C22semidirect
92. #19098485C22semidirect
93. #19098480C22semidirect
97. #19098479C22semidirect
98. #19098479C22semidirect
99. #19098479C22semidirect
103. #19098478C22semidirect
105. #19098477C22semidirect
106. #19098477C22semidirect
107. #19098476C22semidirect
108. #19098475C22semidirect
116. #19098471C22semidirect
117. #19098471C22semidirect
118. #19098471C22semidirect
119. #19098471C22semidirect
120. #19098471C22semidirect
121. #19098469C22semidirect
122. #19098466C22semidirect
123. #19098465C22semidirect
124. #19098463C22semidirect
125. #19098463C22semidirect
126. #19098463C22semidirect
127. #19098463C22semidirect
128. #19098463C22semidirect
129. #19098462C22semidirect
130. #19098458C22semidirect
131. #19098457C22semidirect
132. #19098457C22semidirect
133. #19098457C22semidirect
134. #19098456C22semidirect
135. #19098456C22semidirect
136. #19098456C22semidirect
137. #19098456C22semidirect
138. #19098456C22semidirect
139. #19098455C22semidirect
140. #19098455C22semidirect
141. #19098454C22semidirect
142. #19098453C22semidirect
143. #19098452C22semidirect
144. #19098451C22semidirect
145. #19098451C22semidirect
146. #19098443C22semidirect
147. #19098442C22semidirect
148. #19098441C22semidirect
149. #19098441C22semidirect
150. #19098441C22semidirect
151. #19098440C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
155. #19098439C22semidirect
156. #19098439C22semidirect
157. #19098439C22semidirect
158. #19098439C22semidirect
159. #19098439C22semidirect
160. #19098439C22semidirect
161. #19098438C22semidirect
162. #19098437C22semidirect
163. #19098435C22semidirect
164. #19098434C22semidirect
165. #19098432C22semidirect
166. #19098428C22semidirect
167. #19098423C22semidirect
168. #19098422C22semidirect
169. #19098419C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. #95×D79C22semidirect
173. #95×D79C22semidirect
174. C2×#123×C79C22semidirect
175. C2×#121×C79C22semidirect
177. C2×#120×C79C22semidirect
178. #397×C79C22semidirect
179. #396×C79C22semidirect
181. #394×C79C22semidirect
183. #392×C79C22semidirect
184. #390×C79C22semidirect
185. #390×C79C22semidirect
186. #388×C79C22semidirect
187. #386×C79C22semidirect
188. #379×C79C22semidirect
331. C22⋊C4×D79D4semidirect
971. #2678D79semidirect
987. C79#36739semidirect
1003. C2×#123C2×D79semidirect
1021. C2×#121C2×D79semidirect
1031. C2×#120C2×D79semidirect
1050. #397C2×D79semidirect
1054. #396C2×D79semidirect
1070. #394C2×D79semidirect
1086. #392C2×D79semidirect
1095. #390C2×D79semidirect
1096. #390C2×D79semidirect
1114. #388C2×D79semidirect
1130. #386C2×D79semidirect
1142. #379C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991492
C2×#190991232
#237717442
#237717002
#237702572
#237702522
#237701402
#237701392
#237700842
#237700812
#237700502
#237700472
#237697962
#237697912
#237697222
#237696252
#237696222
#237696142
#237696122
#237695012
#237693272
#237683632
#237683592
#237668362
#237668352
#237667762
#237667702
#237667692
#237667672
#388×D792
C79×#26782
#3673979