Finite Group Databasebeta

← #34495628

Subgroups — #34495628

Order 20224.

2954 conjugacy classes of subgroups.

The subgroup lattice has 1924 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099127C211yesmaximal, characteristic, complemented
2C2×#19099124C211yesmaximal, characteristic, complemented
3#23771681C211yesmaximal, characteristic, complemented
4#23771679C211yesmaximal, characteristic, complemented
5#23770242C211yesmaximal, characteristic, complemented
6#23770134C211yesmaximal, characteristic, complemented
7#23770121C211yesmaximal, characteristic, complemented
8#23770119C211yesmaximal, characteristic, complemented
9#23769839C211yesmaximal, characteristic, complemented
10#23769837C211yesmaximal, characteristic, complemented
11#23769813C211yesmaximal, characteristic, complemented
12#23769811C211yesmaximal, characteristic, complemented
13#23769783C211yesmaximal, characteristic, complemented
14#23769673C211yesmaximal, characteristic, complemented
15#23769671C211yesmaximal, characteristic, complemented
16#23769639C211yesmaximal, characteristic, complemented
17#23769637C211yesmaximal, characteristic, complemented
18#23769619C211yesmaximal, characteristic, complemented
19#23769606C211yesmaximal, characteristic, complemented
20#23769605C211yesmaximal, characteristic, complemented
21#23769140C211yesmaximal, characteristic, complemented
22#23769136C211yesmaximal, characteristic, complemented
23#23767846C211yesmaximal, characteristic, complemented
24#23767844C211yesmaximal, characteristic, complemented
25#23767004C211yesmaximal, characteristic, complemented
26#23766795C211yesmaximal, characteristic, complemented
27#23766795C211yesmaximal, characteristic, complemented
28#23766771C211yesmaximal, characteristic, complemented
29#23766771C211yesmaximal, characteristic, complemented
30C2×#19098441C211yesmaximal, characteristic, complemented
31C79×#2430C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34C23×C4×D79C2211yescharacteristic, complemented
35#19099127—28no—
36#19099124—28no—
37C2×#14579157C2211yescharacteristic
38C2×#14579157C2211yescharacteristic, complemented
39C2×#14579150C2211yescharacteristic
40C2×#14579150C2211yescharacteristic, complemented
41C2×#14579146C2211yescharacteristic
42C2×#14579146C2211yescharacteristic
43C2×#14579144C2211yescharacteristic
44C2×#14579143C2211yescharacteristic, complemented
45C2×#14579143C2211yescharacteristic, complemented
46C2×#14579136C2211yescharacteristic
47C2×#14579136C2211yescharacteristic
48C2×#14579135C2211yescharacteristic
49C2×#14579135C2211yescharacteristic
50C2×#14579135C2211yescharacteristic, complemented
51C2×#14579135C2211yescharacteristic, complemented
52C2×#14579134C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579134C2211yescharacteristic, complemented
55C2×#14579134C2211yescharacteristic, complemented
56C2×#14579133C2211yescharacteristic
57C2×#14579133C2211yescharacteristic
58C2×#14579132C2211yescharacteristic, complemented
59C2×#14579132C2211yescharacteristic, complemented
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579131C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×#14579129C2211yescharacteristic
65C2×#14579129C2211yescharacteristic
66C2×#14579129C2211yescharacteristic, complemented
67C2×#14579129C2211yescharacteristic, complemented
68C2×#14579129C2211yescharacteristic, complemented
69C2×#14579129C2211yescharacteristic, complemented
70C2×#14579120C2211yescharacteristic, complemented
71C22×(C2×D79)⋊C4C2211yescharacteristic
72C22×(C2×D79)⋊C4C2211yescharacteristic
73C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
74C2×C22⋊C4×D79C2211yescharacteristic
75#19098503C2211yescharacteristic, complemented
76#19098502C2211yescharacteristic, complemented
77#19098500C2211yescharacteristic, complemented
78#19098499C2211yescharacteristic, complemented
79#19098495C2211yescharacteristic, complemented
80#19098493C2211yescharacteristic, complemented
81#19098492C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic, complemented
83#19098492C2211yescharacteristic, complemented
84#19098492C2211yescharacteristic, complemented
85#19098490C2211yescharacteristic, complemented
86#19098490C2211yescharacteristic, complemented
87#19098490C2211yescharacteristic, complemented
88#19098489C2211yescharacteristic, complemented
89#19098489C2211yescharacteristic, complemented
90#19098488C2211yescharacteristic, complemented
91#19098482C2211yescharacteristic, complemented
92#19098481C2211yescharacteristic, complemented
93#19098481C2211yescharacteristic, complemented
94#19098480C2211yescharacteristic, complemented
95#19098480C2211yescharacteristic, complemented
96#19098479C2211yescharacteristic, complemented
97#19098479C2211yescharacteristic, complemented
98#19098479C2211yescharacteristic, complemented
99#19098479C2211yescharacteristic, complemented
100#19098479C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic, complemented
102#19098478C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic, complemented
104#19098478C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic, complemented
106#19098478C2211yescharacteristic, complemented
107#19098478C2211yescharacteristic, complemented
108#19098477C2211yescharacteristic, complemented
109#19098474C2211yescharacteristic, complemented
110#19098472C2211yescharacteristic, complemented
111#19098472C2211yescharacteristic, complemented
112#19098472C2211yescharacteristic, complemented
113#19098472C2211yescharacteristic, complemented
114#19098471C2211yescharacteristic, complemented
115#19098471C2211yescharacteristic, complemented
116#19098471C2211yescharacteristic, complemented
117#19098471C2211yescharacteristic, complemented
118#19098471C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic, complemented
120#19098455C2211yescharacteristic, complemented
121#19098451C2211yescharacteristic, complemented
122#19098451C2211yescharacteristic, complemented
123#19098448C2211yescharacteristic, complemented
124#19098448C2211yescharacteristic, complemented
125#19098444C2211yescharacteristic, complemented
126#19098444C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic
128#19098443C2211yescharacteristic
129#19098443C2211yescharacteristic, complemented
130#19098443C2211yescharacteristic, complemented
131#19098442C2211yescharacteristic
132#19098442C2211yescharacteristic
133#19098442C2211yescharacteristic, complemented
134#19098442C2211yescharacteristic, complemented
135#19098441C2211yescharacteristic
136#19098441C2211yescharacteristic
137#19098441C2211yescharacteristic
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic, complemented
140#19098441C2211yescharacteristic, complemented
141#19098441C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic, complemented
143#19098441C2211yescharacteristic, complemented
144#19098441C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic, complemented
147#19098439C2211yescharacteristic, complemented
148#19098439C2211yescharacteristic, complemented
149#19098439C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098437C2211yescharacteristic, complemented
156#19098437C2211yescharacteristic, complemented
157#19098436C2211yescharacteristic, complemented
158#19098436C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic, complemented
160#19098434C2211yescharacteristic, complemented
161#19098425C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic, complemented
163#19098423C2211yescharacteristic, complemented
164#19098423C2211yescharacteristic, complemented
165#19098422C2211yescharacteristic, complemented
166#19098422C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098420C2211yescharacteristic, complemented
170#19098420C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic, complemented
173C2×C79⋊#95C2211yescharacteristic, complemented
174C22×#41×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176C2×#121×C79C2211yescharacteristic
177C2×#121×C79C2211yescharacteristic
178#395×C79C2211yescharacteristic, complemented
179#394×C79C2211yescharacteristic, complemented
180#393×C79C2211yescharacteristic, complemented
181#392×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188C2×#95×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C24×D79C2311yescharacteristic
192C22×D316—42no—
193C22×D316—42no—
194C22×D316D418yescomplemented
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
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
215C22×C22⋊D79C2311yescharacteristic
216C2×D4×D79—24no—
217C2×D4×D79—42no—
218C2×D4×D79—42no—
219C23×Dic79C2311yescharacteristic
220C23×Dic79C2311yescharacteristic
221C22×C4×D79—42no—
222C22×C4×D79—42no—
223C22×C4×D79—42no—
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2311yescharacteristic
227C22×C4×D79C2311yescharacteristic
228C22×C4×D79C2311yescharacteristic
229C22×C4×D79C2311yescharacteristic
230C22×C4×D79C2311yescharacteristic
231#14579157—24no—
232#14579157—24no—
233#14579150—24no—
234#14579150—24no—
235#14579146—24no—
236#14579146—24no—
237#14579144—24no—
238#14579143—42no—
239#14579143—42no—
240#14579136—24no—
241#14579136—24no—
242#14579135—24no—
243#14579135—24no—
244#14579135—24no—
245#14579135—24no—
246#14579134—24no—
247#14579134—24no—
248#14579134—42no—
249#14579134—42no—
250#14579133—42no—
251#14579133—42no—
252#14579132—42no—
253#14579132—42no—
254#14579131—24no—
255#14579131—24no—
256#14579131—24no—
257#14579129—24no—
258#14579129—24no—
259#14579129—24no—
260#14579129—24no—
261#14579129—24no—
262#14579129—42no—
263#14579129—42no—
264#14579120—24no—
265C2×C4⋊Dic79C2311yescharacteristic
266C2×C4⋊Dic79C2311yescharacteristic
267C2×C4⋊Dic79C2311yescharacteristic
268C2×C4⋊Dic79C2311yescharacteristic
269C2×C4⋊Dic79C2311yescharacteristic
270C2×C4⋊Dic79C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
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×(C2×D79)⋊C4—42no—
293C2×(C2×D79)⋊C4—42no—
294C2×(C2×D79)⋊C4—42no—
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
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—24no—
330C2×C4×Dic79C2311yescharacteristic
331C2×C4×Dic79C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
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
356C2×#41×C79—24no—
357C2×#41×C79—42no—
358C2×#41×C79—42no—
359C22×Q8×C79C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C22×D4×C79C2311yescharacteristic
363C22×D4×C79C2311yescharacteristic
364C22×D4×C79C2311yescharacteristic
365C22×D4×C79C2311yescharacteristic
366C23×C4×C79C2311yescharacteristic
367C23×C4×C79C2311yescharacteristic
368C23×C4×C79C2311yescharacteristic
369C23×C4×C79C2311yescharacteristic
370C23×C4×C79C2311yescharacteristic
371#123×C79—24no—
372#121×C79—42no—
373#121×C79—42no—
374C2×C4⋊C4×C79C2311yescharacteristic
375C2×C4⋊C4×C79C2311yescharacteristic
376C2×C4⋊C4×C79C2311yescharacteristic
377C2×C4⋊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
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391#95×C79C2311yescharacteristic
392#95×C79C2311yescharacteristic
393#95×C79C2311yescharacteristic
394#95×C79C2311yescharacteristic
395#95×C79C2311yescharacteristic
396#95×C79C2311yescharacteristic
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—22no—
401C23×D79—22no—
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×D79—41no—
411C23×D79—41no—
412C23×D79—41no—
413C23×D79—41no—
414C23×D79—41no—
415C23×D79—41no—
416C23×D79C2×D414yes—
417C23×D79C2×D414yes—
418C23×D79C2411yescharacteristic
419C23×D79C2411yescharacteristic
420C23×D79C2411yescharacteristic
421C23×D79C2411yescharacteristic
422C23×D79C2411yescharacteristic
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—22no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—416no—
429C2×D316—41no—
430C2×D316—41no—
431C2×D316—41no—
432C2×D316—41no—
433C2×D316—41no—
434C2×D316—41no—
435C2×D316—41no—
436C2×D316—41no—
437C2×D316—41no—
438C2×D316—41no—
439C2×D316—41no—
440C2×D316—41no—
441C2×D316C2×D414yes—
442C2×D316C2×D414yes—
443C2×D316C2×D414yes—
444C2×D316C2×D414yes—
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—22no—
453C2×C22⋊D79—22no—
454C2×C22⋊D79—22no—
455C2×C22⋊D79—22no—
456C2×C22⋊D79—22no—
457C2×C22⋊D79—22no—
458C2×C22⋊D79—22no—
459C2×C22⋊D79—22no—
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—
479C2×C22⋊D79—41no—
480C2×C22⋊D79—41no—
481C2×C22⋊D79—41no—
482C2×C22⋊D79—41no—
483C2×C22⋊D79—41no—
484C2×C22⋊D79—41no—
485C2×C22⋊D79—41no—
486C2×C22⋊D79—41no—
487D4×D79—416no—
488C22×Dic79—22no—
489C22×Dic79—22no—
490C22×Dic79—22no—
491C22×Dic79—41no—
492C22×Dic79—41no—
493C22×Dic79—41no—
494C22×Dic79C2411yescharacteristic
495C22×Dic79C2411yescharacteristic
496C22×Dic79C2411yescharacteristic
497C22×Dic79C2411yescharacteristic
498C22×Dic79C2411yescharacteristic
499C22×Dic79C2411yescharacteristic
500C22×Dic79C2411yescharacteristic
501C22×Dic79C2411yescharacteristic
502C22×Dic79C2411yescharacteristic
503C22×Dic79C2411yescharacteristic
504C22×Dic79C2411yescharacteristic
505C2×C4×D79—22no—
506C2×C4×D79—22no—
507C2×C4×D79—22no—
508C2×C4×D79—22no—
509C2×C4×D79—22no—
510C2×C4×D79—22no—
511C2×C4×D79—22no—
512C2×C4×D79—41no—
513C2×C4×D79—41no—
514C2×C4×D79—41no—
515C2×C4×D79—41no—
516C2×C4×D79—41no—
517C2×C4×D79—41no—
518C2×C4×D79—41no—
519C2×C4×D79—41no—
520C2×C4×D79—41no—
521C2×C4×D79—41no—
522C2×C4×D79—41no—
523C2×C4×D79—41no—
524C2×C4×D79—41no—
525C2×C4×D79—41no—
526C2×C4×D79—416no—
527C4⋊Dic79—22no—
528C4⋊Dic79—22no—
529C4⋊Dic79—22no—
530C4⋊Dic79—41no—
531C4⋊Dic79—41no—
532C4⋊Dic79—41no—
533Dic79⋊C4—22no—
534Dic79⋊C4—22no—
535Dic79⋊C4—22no—
536Dic79⋊C4—41no—
537Dic79⋊C4—41no—
538Dic79⋊C4—41no—
539Dic79⋊C4—41no—
540Dic79⋊C4—41no—
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—
554(C2×D79)⋊C4—22no—
555(C2×D79)⋊C4—22no—
556(C2×D79)⋊C4—22no—
557(C2×D79)⋊C4—22no—
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—22no—
569(C2×D79)⋊C4—22no—
570(C2×D79)⋊C4—22no—
571(C2×D79)⋊C4—22no—
572(C2×D79)⋊C4—22no—
573(C2×D79)⋊C4—22no—
574(C2×D79)⋊C4—22no—
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)⋊C4—41no—
581(C2×D79)⋊C4—41no—
582(C2×D79)⋊C4—41no—
583(C2×D79)⋊C4—41no—
584(C2×D79)⋊C4—41no—
585(C2×D79)⋊C4—41no—
586(C2×D79)⋊C4—41no—
587(C2×D79)⋊C4—41no—
588C4×Dic79—22no—
589C4×Dic79—22no—
590C24×C79C2411yescharacteristic
591C24×C79C2411yescharacteristic
592C24×C79C2411yescharacteristic
593C24×C79C2411yescharacteristic
594#41×C79—416no—
595C2×Q8×C79—22no—
596C2×Q8×C79—41no—
597C2×Q8×C79—41no—
598C2×D4×C79—22no—
599C2×D4×C79—22no—
600C2×D4×C79—22no—
601C2×D4×C79—22no—
602C2×D4×C79—22no—
603C2×D4×C79—22no—
604C2×D4×C79—22no—
605C2×D4×C79—22no—
606C2×D4×C79—22no—
607C2×D4×C79—22no—
608C2×D4×C79—22no—
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—
616C22×C4×C79—22no—
617C22×C4×C79—22no—
618C22×C4×C79—22no—
619C22×C4×C79—22no—
620C22×C4×C79—22no—
621C22×C4×C79—22no—
622C22×C4×C79—22no—
623C22×C4×C79—41no—
624C22×C4×C79—41no—
625C22×C4×C79—41no—
626C22×C4×C79—41no—
627C22×C4×C79—41no—
628C22×C4×C79—41no—
629C22×C4×C79—41no—
630C22×C4×C79C2×D414yes—
631C22×C4×C79C2411yescharacteristic
632C22×C4×C79C2411yescharacteristic
633C22×C4×C79C2411yescharacteristic
634C22×C4×C79C2411yescharacteristic
635C22×C4×C79C2411yescharacteristic
636C22×C4×C79C2411yescharacteristic
637C22×C4×C79C2411yescharacteristic
638C22×C4×C79C2411yescharacteristic
639C22×C4×C79C2411yescharacteristic
640C22×C4×C79C2411yescharacteristic
641C22×C4×C79C2411yescharacteristic
642C4⋊C4×C79—22no—
643C4⋊C4×C79—22no—
644C4⋊C4×C79—41no—
645C4⋊C4×C79—41no—
646C22⋊C4×C79—22no—
647C22⋊C4×C79—22no—
648C22⋊C4×C79—22no—
649C22⋊C4×C79—22no—
650C22⋊C4×C79—41no—
651C22⋊C4×C79—41no—
652C22⋊C4×C79—41no—
653C22⋊C4×C79—41no—
654C22⋊C4×C79—41no—
655C22⋊C4×C79—41no—
656C22⋊C4×C79—41no—
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×C79C22×D412yes—
683C23×C79H(5,𝔽2)12yes—
684C23×C79H(5,𝔽2)12yes—
685C23×C79C2511yescharacteristic
686C22×D79—28no—
687C22×D79—21no—
688C22×D79—21no—
689C22×D79—21no—
690C22×D79—21no—
691C22×D79—21no—
692C22×D79—21no—
693C22×D79—21no—
694C22×D79—21no—
695C22×D79—21no—
696C22×D79—21no—
697C22×D79—21no—
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—21no—
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—28no—
712C22×D79—21no—
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—44no—
720C22×D79—44no—
721C22×D79—44no—
722C22×D79—44no—
723C22×D79—44no—
724C22×D79—44no—
725C22×D79—44no—
726C22×D79—44no—
727C22×D79—44no—
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×D79—82no—
737C22×D79—82no—
738C22×D79C22×D412yes—
739C22×D79C22×D412yes—
740C22×D79C22×D412yes—
741C22×D79C22×D412yes—
742Q8×C79—44no—
743D4×C79—44no—
744D4×C79—44no—
745D4×C79—44no—
746D4×C79—44no—
747D4×C79—82no—
748D4×C79—82no—
749C2×C4×C79—28no—
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—21no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—44no—
781C2×C4×C79—44no—
782C2×C4×C79—44no—
783C2×C4×C79—82no—
784C2×C4×C79C22×D412yes—
785C2×C4×C79C22×D412yes—
786C2×C4×C79H(5,𝔽2)12yes—
787C22⋊D79—44no—
788C22⋊D79—44no—
789C22⋊D79—82no—
790C22⋊D79—82no—
791C22⋊D79—82no—
792C22⋊D79—82no—
793C22⋊D79—82no—
794C22⋊D79—82no—
795C22⋊D79—82no—
796C22⋊D79—82no—
797C22⋊D79—82no—
798C22⋊D79—82no—
799C22⋊D79—82no—
800C22⋊D79—82no—
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—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—21no—
832C2×Dic79—21no—
833C2×Dic79—44no—
834C2×Dic79—82no—
835C2×Dic79H(5,𝔽2)12yes—
836D316—44no—
837D316—44no—
838D316—44no—
839D316—44no—
840D316—44no—
841D316—82no—
842D316—82no—
843C4×D79—44no—
844C4×D79—44no—
845C4×D79—44no—
846C4×D79—44no—
847C4×D79—44no—
848C4×D79—82no—
849C4×D79—82no—
850C22×C79—22no—
851C22×C79—22no—
852C22×C79—22no—
853C22×C79—22no—
854C22×C79—22no—
855C22×C79—22no—
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#53414yes—
878C22×C79C23×D411yescharacteristic
879C22×C79C2×H(5,𝔽2)11yescharacteristic
880C22×C79C2×H(5,𝔽2)11yescharacteristic
881C22×C79C2×H(5,𝔽2)11yescharacteristic
882C22×C79C2×H(5,𝔽2)11yescharacteristic
883C22×C79#58511yescharacteristic
884C22×C79#58511yescharacteristic
885C2×D79—22no—
886C2×D79—22no—
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—22no—
897C2×D79—416no—
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—41no—
915C2×D79—41no—
916C2×D79—41no—
917C2×D79—41no—
918C2×D79—41no—
919C2×D79—41no—
920C2×D79—41no—
921C2×D79—88no—
922C2×D79—88no—
923C4×C79—22no—
924C4×C79—22no—
925C4×C79—22no—
926C4×C79—41no—
927C4×C79—41no—
928C4×C79—41no—
929C4×C79—41no—
930C4×C79—41no—
931C4×C79—41no—
932C4×C79—41no—
933C4×C79—41no—
934Dic79—22no—
935Dic79—41no—
936Dic79—41no—
937Dic79—41no—
938Dic79—41no—
939Dic79—41no—
940Dic79—41no—
941Dic79—41no—
942Dic79—41no—
943Dic79—41no—
944Dic79—41no—
945#36737—791nomaximal, Sylow
946C2×C79—24no—
947C2×C79—81no—
948C2×C79—81no—
949C2×C79—81no—
950C2×C79C2×#53411yescharacteristic
951C2×C79#349611yescharacteristic
952C2×C79#349611yescharacteristic
953C2×C79#353211yescharacteristic
954C2×C79#353311yescharacteristic
955C2×C79#354211yescharacteristic
956C2×C79#354211yescharacteristic
957D79—42no—
958D79—42no—
959D79—42no—
960D79—42no—
961D79—81no—
962C2×#535—791no—
963C2×#534—791no—
964#2847—791no—
965#2847—791no—
966#2717—791no—
967#2709—791no—
968#2708—791no—
969#2708—791no—
970#2688—791no—
971#2688—791no—
972#2686—791no—
973#2686—791no—
974#2684—791no—
975#2673—791no—
976#2673—791no—
977#2671—791no—
978#2671—791no—
979#2669—791no—
980#2668—791no—
981#2668—791no—
982#2617—791no—
983#2617—791no—
984#2498—791no—
985#2498—791no—
986#2430—791no—
987#2430D7911yescharacteristic, complemented
988#2412—791no—
989#2412—791no—
990#2410—791no—
991#2410—791no—
992C2×#386—791no—
993C79#3673711yescharacteristic, complemented, Sylow
994C22×#41C2×D7911yescharacteristic, complemented
995C23×D4—791no—
996C23×D4—791no—
997C24×C4—791no—
998#535—1588no—
999#534—1588no—
1000C2×#127—791no—
1001C2×#127—791no—
1002C2×#124—791no—
1003C2×#124—791no—
1004C2×#123—791no—
1005C2×#123—791no—
1006C2×#123—791no—
1007C2×#123—791no—
1008C2×#123—791no—
1009C2×#123C2×D7911yescharacteristic
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×#121—791no—
1022C2×#121—791no—
1023C2×#121—791no—
1024C2×#121C2×D7911yescharacteristic
1025C2×#121C2×D7911yescharacteristic
1026C2×#120—791no—
1027C2×#120—791no—
1028C2×#120—791no—
1029C2×#120—791no—
1030C2×#120—791no—
1031C2×#120—791no—
1032C2×#120—791no—
1033C2×#120—791no—
1034C2×#120—791no—
1035C2×#120—791no—
1036C2×#117—791no—
1037C22×C22⋊C4—791no—
1038C22×C22⋊C4—791no—
1039C22×C22⋊C4—791no—
1040C22×C22⋊C4—791no—
1041#400—791no—
1042#400—791no—
1043#399—791no—
1044#399—791no—
1045#398—791no—
1046#398—791no—
1047#397—791no—
1048#397—791no—
1049#397—791no—
1050#397—791no—
1051#397—791no—
1052#397—791no—
1053#397—791no—
1054#397—791no—
1055#397—791no—
1056#397—791no—
1057#395—791no—
1058#395C2×D7911yescharacteristic, complemented
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#394—791no—
1070#394—791no—
1071#394—791no—
1072#394—791no—
1073#394—791no—
1074#394—791no—
1075#394—791no—
1076#394C2×D7911yescharacteristic, complemented
1077#393—791no—
1078#393C2×D7911yescharacteristic, complemented
1079#392—791no—
1080#392—791no—
1081#392—791no—
1082#392—791no—
1083#392—791no—
1084#392—791no—
1085#392—791no—
1086#392—791no—
1087#392—791no—
1088#392C2×D7911yescharacteristic, complemented
1089#388—791no—
1090#388—791no—
1091#388—791no—
1092#388—791no—
1093#387—791no—
1094#387—791no—
1095#387—791no—
1096#387—791no—
1097#386—791no—
1098#386—791no—
1099#386—791no—
1100#386—791no—
1101#386—791no—
1102#386—791no—
1103#386—791no—
1104#386—791no—
1105#386—791no—
1106#386—791no—
1107#386—791no—
1108#386—791no—
1109#386—791no—
1110#386—791no—
1111#386—791no—
1112#386—791no—
1113#386—791no—
1114#386—791no—
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#386C2×D7911yescharacteristic, complemented
1126#386C2×D7911yescharacteristic, complemented
1127#386C2×D7911yescharacteristic, complemented
1128#386C2×D7911yescharacteristic, complemented
1129#385—791no—
1130#385—791no—
1131#385—791no—
1132#385—791no—
1133#385—791no—
1134#385—791no—
1135#385C2×D7911yescharacteristic, complemented
1136#385C2×D7911yescharacteristic, complemented
1137#381—791no—
1138#381—791no—
1139#380—791no—
1140#380—791no—
1141#380—791no—
1142#380—791no—
1143#380—791no—
1144#380—791no—
1145#380—791no—
1146#380—791no—
1147#379—791no—
1148#379—791no—
1149C2×#95—791no—
1150C2×#95C2×D7911yescharacteristic, complemented
1151C25—791no—
1152C25—791no—
1153C25—791no—
1154C2×#41—24no—
1155C2×#41—42no—
1156C2×#41—42no—
1157C22×Q8C22×D7911yescharacteristic
1158C22×D4—3162no—
1159C22×D4—3162no—
1160C22×D4—3162no—
1161C22×D4—3162no—
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—791no—
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—798no—
1177C22×D4—791no—
1178C22×D4—791no—
1179C22×D4—791no—
1180C22×D4—791no—
1181C22×D4—791no—
1182C22×D4—791no—
1183C22×D4—791no—
1184C22×D4—1584no—
1185C22×D4C22×D7911yescharacteristic
1186C22×D4C22×D7911yescharacteristic
1187C22×D4C22×D7911yescharacteristic
1188C22×D4C22×D7911yescharacteristic
1189C22×D4C22×D7911yescharacteristic
1190C22×D4C22×D7911yescharacteristic
1191C23×C4—3162no—
1192C23×C4—3162no—
1193C23×C4—3162no—
1194C23×C4—791no—
1195C23×C4—791no—
1196C23×C4—791no—
1197C23×C4—791no—
1198C23×C4—791no—
1199C23×C4—791no—
1200C23×C4—791no—
1201C23×C4—791no—
1202C23×C4—791no—
1203C23×C4C22×D7911yescharacteristic
1204C23×C4C22×D7911yescharacteristic
1205C23×C4C22×D7911yescharacteristic
1206C23×C4C22×D7911yescharacteristic
1207C23×C4C22×D7911yescharacteristic
1208#127—1584no—
1209#127—1584no—
1210#124—1584no—
1211#124—1584no—
1212#123—24no—
1213#123—3162no—
1214#123—3162no—
1215#123—1584no—
1216#123—1584no—
1217#123—1584no—
1218#121—42no—
1219#121—42no—
1220#121—3162no—
1221#121—3162no—
1222#121—3162no—
1223#121—3162no—
1224#121—3162no—
1225#121—3162no—
1226#121—1584no—
1227#121—1584no—
1228#121—1584no—
1229#121—1584no—
1230#121—1584no—
1231#121—1584no—
1232#121—1584no—
1233#121—1584no—
1234#120—3162no—
1235#120—3162no—
1236#120—1584no—
1237#120—1584no—
1238#120—1584no—
1239#120—1584no—
1240#120—1584no—
1241#120—1584no—
1242#120—1584no—
1243#120—1584no—
1244#117—1584no—
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⋊C4—791no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4—791no—
1256C2×C4⋊C4—791no—
1257C2×C4⋊C4—791no—
1258C2×C4⋊C4—791no—
1259C2×C4⋊C4C22×D7911yescharacteristic
1260C2×C4⋊C4C22×D7911yescharacteristic
1261C2×C4⋊C4C22×D7911yescharacteristic
1262C2×C4⋊C4C22×D7911yescharacteristic
1263C2×C22⋊C4—3162no—
1264C2×C22⋊C4—3162no—
1265C2×C22⋊C4—3162no—
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—791no—
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⋊C4—791no—
1306C2×C22⋊C4—791no—
1307C2×C22⋊C4—791no—
1308C2×C22⋊C4—791no—
1309C2×C22⋊C4—791no—
1310C2×C22⋊C4—791no—
1311C2×C22⋊C4—791no—
1312C2×C22⋊C4—791no—
1313C2×C22⋊C4—1584no—
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×C22⋊C4C22×D7911yescharacteristic
1323C2×C22⋊C4C22×D7911yescharacteristic
1324C2×C22⋊C4C22×D7911yescharacteristic
1325C2×C42—791no—
1326C2×C42—791no—
1327#95—791no—
1328#95—791no—
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#95—791no—
1350#95—791no—
1351#95C22×D7911yescharacteristic
1352#95C22×D7911yescharacteristic
1353#95C22×D7911yescharacteristic
1354#95C22×D7911yescharacteristic
1355#95C22×D7911yescharacteristic
1356#95C22×D7911yescharacteristic
1357#95C22×D7911yescharacteristic
1358#95C22×D7911yescharacteristic
1359C24—3161no—
1360C24—3161no—
1361C24—3161no—
1362C24—3161no—
1363C24—3161no—
1364C24—3161no—
1365C24—3161no—
1366C24—3161no—
1367C24—3161no—
1368C24—3161no—
1369C24—3161no—
1370C24—3161no—
1371C24—3161no—
1372C24—3161no—
1373C24—794no—
1374C24—794no—
1375C24—791no—
1376C24—791no—
1377C24—791no—
1378C24—791no—
1379C24—791no—
1380C24—1582no—
1381C24—1582no—
1382C24—1582no—
1383C24—1582no—
1384C24—1582no—
1385C24C23×D7911yescharacteristic
1386C24C23×D7911yescharacteristic
1387C24C23×D7911yescharacteristic
1388C24C23×D7911yescharacteristic
1389#41—416no—
1390C2×Q8—22no—
1391C2×Q8—41no—
1392C2×Q8—41no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—3161no—
1412C2×D4—3161no—
1413C2×D4—3161no—
1414C2×D4—3161no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—3161no—
1419C2×D4—31616no—
1420C2×D4—3161no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—3161no—
1424C2×D4—3161no—
1425C2×D4—3161no—
1426C2×D4—31616no—
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—3161no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—3161no—
1446C2×D4—3161no—
1447C2×D4—3161no—
1448C2×D4—3161no—
1449C2×D4—3161no—
1450C2×D4—3161no—
1451C2×D4—3161no—
1452C2×D4—3161no—
1453C2×D4—3161no—
1454C2×D4—794no—
1455C2×D4—794no—
1456C2×D4—794no—
1457C2×D4—794no—
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—
1469C2×D4—1582no—
1470C2×D4—1582no—
1471C2×D4—1582no—
1472C2×D4—1582no—
1473C2×D4—1582no—
1474C2×D4—1582no—
1475C2×D4—1582no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—41no—
1484C22×C4—41no—
1485C22×C4—41no—
1486C22×C4—41no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—41no—
1490C22×C4—3161no—
1491C22×C4—3161no—
1492C22×C4—3161no—
1493C22×C4—3161no—
1494C22×C4—3161no—
1495C22×C4—3161no—
1496C22×C4—3161no—
1497C22×C4—3161no—
1498C22×C4—3161no—
1499C22×C4—3161no—
1500C22×C4—3161no—
1501C22×C4—3161no—
1502C22×C4—3161no—
1503C22×C4—3161no—
1504C22×C4—31616no—
1505C22×C4—3161no—
1506C22×C4—3161no—
1507C22×C4—3161no—
1508C22×C4—791no—
1509C22×C4—791no—
1510C22×C4—791no—
1511C22×C4—791no—
1512C22×C4—791no—
1513C22×C4—791no—
1514C22×C4—791no—
1515C22×C4—791no—
1516C22×C4—791no—
1517C22×C4—791no—
1518C22×C4—791no—
1519C22×C4—1582no—
1520C22×C4—1582no—
1521C22×C4—1582no—
1522C22×C4—1582no—
1523C22×C4—1582no—
1524C22×C4—1582no—
1525C22×C4—1582no—
1526C22×C4—1582no—
1527C22×C4—1582no—
1528C22×C4—1582no—
1529C22×C4D4×D7914yes—
1530C22×C4C23×D7911yescharacteristic
1531C22×C4C23×D7911yescharacteristic
1532C22×C4C23×D7911yescharacteristic
1533C22×C4C23×D7911yescharacteristic
1534C22×C4C23×D7911yescharacteristic
1535C22×C4C23×D7911yescharacteristic
1536C22×C4C23×D7911yescharacteristic
1537C22×C4C23×D7911yescharacteristic
1538C22×C4C23×D7911yescharacteristic
1539C22×C4C23×D7911yescharacteristic
1540C22×C4C23×D7911yescharacteristic
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—41no—
1544C4⋊C4—41no—
1545C4⋊C4—3161no—
1546C4⋊C4—3161no—
1547C4⋊C4—3161no—
1548C4⋊C4—3161no—
1549C4⋊C4—3161no—
1550C4⋊C4—3161no—
1551C4⋊C4—3161no—
1552C4⋊C4—3161no—
1553C4⋊C4—1582no—
1554C4⋊C4—1582no—
1555C4⋊C4—1582no—
1556C4⋊C4—1582no—
1557C4⋊C4—1582no—
1558C4⋊C4—1582no—
1559C22⋊C4—22no—
1560C22⋊C4—22no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
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—3161no—
1583C22⋊C4—3161no—
1584C22⋊C4—3161no—
1585C22⋊C4—3161no—
1586C22⋊C4—3161no—
1587C22⋊C4—3161no—
1588C22⋊C4—3161no—
1589C22⋊C4—3161no—
1590C22⋊C4—3161no—
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⋊C4—1582no—
1605C22⋊C4—1582no—
1606C22⋊C4—1582no—
1607C22⋊C4—1582no—
1608C22⋊C4—1582no—
1609C22⋊C4—1582no—
1610C22⋊C4—1582no—
1611C22⋊C4—1582no—
1612C22⋊C4—1582no—
1613C22⋊C4—1582no—
1614C22⋊C4—1582no—
1615C22⋊C4—1582no—
1616C22⋊C4—1582no—
1617C42—1582no—
1618C42—1582no—
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—3164no—
1645C23—3164no—
1646C23—3164no—
1647C23—3164no—
1648C23—3164no—
1649C23—3164no—
1650C23—3164no—
1651C23—3164no—
1652C23—3164no—
1653C23—792no—
1654C23—792no—
1655C23—792no—
1656C23—792no—
1657C23—6322no—
1658C23—6322no—
1659C23—6322no—
1660C23—6322no—
1661C23—6322no—
1662C23—6322no—
1663C23—6322no—
1664C23—6322no—
1665C23—6322no—
1666C23—6322no—
1667C23—1581no—
1668C23—1581no—
1669C23—1581no—
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—
1694C23—1581no—
1695C23—1581no—
1696C23—1581no—
1697C23—1581no—
1698C23—1588no—
1699C23—1588no—
1700C23C2×D4×D7912yes—
1701C23#1457920612yes—
1702C23#1457920612yes—
1703C23C24×D7911yescharacteristic
1704Q8—44no—
1705D4—44no—
1706D4—44no—
1707D4—44no—
1708D4—44no—
1709D4—82no—
1710D4—82no—
1711D4—3164no—
1712D4—3164no—
1713D4—3164no—
1714D4—3164no—
1715D4—3164no—
1716D4—3164no—
1717D4—3164no—
1718D4—6322no—
1719D4—6322no—
1720D4—6322no—
1721D4—6322no—
1722D4—6322no—
1723D4—6322no—
1724D4—6322no—
1725D4—6322no—
1726D4—6322no—
1727D4—6322no—
1728D4—6322no—
1729D4—6322no—
1730D4—6322no—
1731D4—6322no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—28no—
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—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—82no—
1767C2×C4—3164no—
1768C2×C4—3164no—
1769C2×C4—3164no—
1770C2×C4—3164no—
1771C2×C4—3164no—
1772C2×C4—3164no—
1773C2×C4—792no—
1774C2×C4—6322no—
1775C2×C4—6322no—
1776C2×C4—6322no—
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×C4—1581no—
1798C2×C4—1581no—
1799C2×C4—1581no—
1800C2×C4—1581no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4—1581no—
1804C2×C4—1581no—
1805C2×C4—1581no—
1806C2×C4—1581no—
1807C2×C4—1581no—
1808C2×C4—1581no—
1809C2×C4C2×D4×D7912yes—
1810C2×C4C2×D4×D7912yes—
1811C2×C4#1457920712yes—
1812C22—22no—
1813C22—22no—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
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—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—31616no—
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—3161no—
1855C22—3161no—
1856C22—3161no—
1857C22—3161no—
1858C22—3161no—
1859C22—3161no—
1860C22—3161no—
1861C22—3161no—
1862C22—3161no—
1863C22—6328no—
1864C22—6328no—
1865C22—1582no—
1866C22—1582no—
1867C22—1582no—
1868C22—1582no—
1869C22—1582no—
1870C22—1582no—
1871C22—1582no—
1872C22—1582no—
1873C22—1582no—
1874C22—1582no—
1875C22—1582no—
1876C22—1582no—
1877C22#1909912314yes—
1878C22C22×D4×D7911yescharacteristic
1879C22H(5,𝔽2)×D7911yescharacteristic
1880C22C2×#1457920611yescharacteristic
1881C22C2×#1457920611yescharacteristic
1882C22C2×#1457920711yescharacteristic
1883C22#1909939911yescharacteristic
1884C22#1909940011yescharacteristic
1885C4—22no—
1886C4—22no—
1887C4—22no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—3161no—
1897C4—3161no—
1898C4—3161no—
1899C4—3161no—
1900C4—3161no—
1901C4—3161no—
1902C4—3161no—
1903C4—3161no—
1904C4—3161no—
1905C4—3161no—
1906C4—1582no—
1907C2—24no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—3162no—
1912C2—3162no—
1913C2—3162no—
1914C2—3162no—
1915C2—6321no—
1916C2C2×#1909912311yescharacteristic
1917C2#2377716211yescharacteristic
1918C2#2377716311yescharacteristic
1919C2#2377754911yescharacteristic
1920C2#2377757011yescharacteristic
1921C2#2377770111yescharacteristic
1922C2#2377771711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2430C2
hypercenter#2430D79
hypocenterC79#36737
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2430

Complements

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

NH ≅ G/Ntype
1. C2×#19099127C2semidirect
2. C2×#19099124C2semidirect
3. #23771681C2semidirect
4. #23771679C2semidirect
5. #23770242C2semidirect
6. #23770134C2semidirect
7. #23770121C2semidirect
8. #23770119C2semidirect
9. #23769839C2semidirect
10. #23769837C2semidirect
11. #23769813C2semidirect
12. #23769811C2semidirect
13. #23769783C2semidirect
14. #23769673C2semidirect
15. #23769671C2semidirect
16. #23769639C2semidirect
17. #23769637C2semidirect
18. #23769619C2semidirect
19. #23769606C2semidirect
20. #23769605C2semidirect
21. #23769140C2semidirect
22. #23769136C2semidirect
23. #23767846C2semidirect
24. #23767844C2semidirect
25. #23767004C2semidirect
26. #23766795C2semidirect
27. #23766795C2semidirect
28. #23766771C2semidirect
29. #23766771C2semidirect
30. C2×#19098441C2semidirect
31. C79×#2430C2semidirect
34. C23×C4×D79C22semidirect
38. C2×#14579157C22semidirect
40. C2×#14579150C22semidirect
44. C2×#14579143C22semidirect
45. C2×#14579143C22semidirect
50. C2×#14579135C22semidirect
51. C2×#14579135C22semidirect
54. C2×#14579134C22semidirect
55. C2×#14579134C22semidirect
58. C2×#14579132C22semidirect
59. C2×#14579132C22semidirect
66. C2×#14579129C22semidirect
67. C2×#14579129C22semidirect
68. C2×#14579129C22semidirect
69. C2×#14579129C22semidirect
70. C2×#14579120C22semidirect
73. C22×(C2×D79)⋊C4C22semidirect
75. #19098503C22semidirect
76. #19098502C22semidirect
77. #19098500C22semidirect
78. #19098499C22semidirect
79. #19098495C22semidirect
80. #19098493C22semidirect
81. #19098492C22semidirect
82. #19098492C22semidirect
83. #19098492C22semidirect
84. #19098492C22semidirect
85. #19098490C22semidirect
86. #19098490C22semidirect
87. #19098490C22semidirect
88. #19098489C22semidirect
89. #19098489C22semidirect
90. #19098488C22semidirect
91. #19098482C22semidirect
92. #19098481C22semidirect
93. #19098481C22semidirect
94. #19098480C22semidirect
95. #19098480C22semidirect
96. #19098479C22semidirect
97. #19098479C22semidirect
98. #19098479C22semidirect
99. #19098479C22semidirect
100. #19098479C22semidirect
101. #19098479C22semidirect
102. #19098478C22semidirect
103. #19098478C22semidirect
104. #19098478C22semidirect
105. #19098478C22semidirect
106. #19098478C22semidirect
107. #19098478C22semidirect
108. #19098477C22semidirect
109. #19098474C22semidirect
110. #19098472C22semidirect
111. #19098472C22semidirect
112. #19098472C22semidirect
113. #19098472C22semidirect
114. #19098471C22semidirect
115. #19098471C22semidirect
116. #19098471C22semidirect
117. #19098471C22semidirect
118. #19098471C22semidirect
119. #19098455C22semidirect
120. #19098455C22semidirect
121. #19098451C22semidirect
122. #19098451C22semidirect
123. #19098448C22semidirect
124. #19098448C22semidirect
125. #19098444C22semidirect
126. #19098444C22semidirect
129. #19098443C22semidirect
130. #19098443C22semidirect
133. #19098442C22semidirect
134. #19098442C22semidirect
139. #19098441C22semidirect
140. #19098441C22semidirect
141. #19098441C22semidirect
142. #19098441C22semidirect
143. #19098441C22semidirect
144. #19098441C22semidirect
145. #19098439C22semidirect
146. #19098439C22semidirect
147. #19098439C22semidirect
148. #19098439C22semidirect
149. #19098439C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
155. #19098437C22semidirect
156. #19098437C22semidirect
157. #19098436C22semidirect
158. #19098436C22semidirect
159. #19098434C22semidirect
160. #19098434C22semidirect
161. #19098425C22semidirect
162. #19098425C22semidirect
163. #19098423C22semidirect
164. #19098423C22semidirect
165. #19098422C22semidirect
166. #19098422C22semidirect
167. #19098421C22semidirect
168. #19098421C22semidirect
169. #19098420C22semidirect
170. #19098420C22semidirect
171. #19098418C22semidirect
172. #19098418C22semidirect
173. C2×C79⋊#95C22semidirect
174. C22×#41×C79C22semidirect
178. #395×C79C22semidirect
179. #394×C79C22semidirect
180. #393×C79C22semidirect
181. #392×C79C22semidirect
182. #386×C79C22semidirect
183. #386×C79C22semidirect
184. #386×C79C22semidirect
185. #386×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. C2×#95×C79C22semidirect
194. C22×D316D4semidirect
987. #2430D79semidirect
993. C79#36737semidirect
994. C22×#41C2×D79semidirect
1058. #395C2×D79semidirect
1076. #394C2×D79semidirect
1078. #393C2×D79semidirect
1088. #392C2×D79semidirect
1125. #386C2×D79semidirect
1126. #386C2×D79semidirect
1127. #386C2×D79semidirect
1128. #386C2×D79semidirect
1135. #385C2×D79semidirect
1136. #385C2×D79semidirect
1150. C2×#95C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991272
C2×#190991242
#237716812
#237716792
#237702422
#237701342
#237701212
#237701192
#237698392
#237698372
#237698132
#237698112
#237697832
#237696732
#237696712
#237696392
#237696372
#237696192
#237696062
#237696052
#237691402
#237691362
#237678462
#237678442
#237670042
#237667952
#237667712
C2×#190984412
C79×#24302
#3673779