Finite Group Databasebeta

← #34460970

Subgroups — #34460970

Order 20224.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099157C211yesmaximal, characteristic, complemented
2C22×D4×Dic79C211yesmaximal, characteristic, complemented
3#23771717C211yesmaximal, characteristic, complemented
4#23771706C211yesmaximal, characteristic, complemented
5#23771694C211yesmaximal, characteristic, complemented
6#23771685C211yesmaximal, characteristic, complemented
7#23769316C211yesmaximal, characteristic, complemented
8#23769296C211yesmaximal, characteristic, complemented
9#23769267C211yesmaximal, characteristic, complemented
10#23769238C211yesmaximal, characteristic, complemented
11#23767645C211yesmaximal, characteristic, complemented
12#23767540C211yesmaximal, characteristic, complemented
13#23767431C211yesmaximal, characteristic, complemented
14#23767392C211yesmaximal, characteristic, complemented
15#23767347C211yesmaximal, characteristic, complemented
16#23767278C211yesmaximal, characteristic, complemented
17#23767215C211yesmaximal, characteristic, complemented
18#23767207C211yesmaximal, characteristic, complemented
19#23767133C211yesmaximal, characteristic, complemented
20#23767066C211yesmaximal, characteristic, complemented
21#23766955C211yesmaximal, characteristic, complemented
22#23766873C211yesmaximal, characteristic, complemented
23#23766866C211yesmaximal, characteristic, complemented
24#23766796C211yesmaximal, characteristic, complemented
25#23766774C211yesmaximal, characteristic
26#23766101C211yesmaximal, characteristic, complemented
27#23766072C211yesmaximal, characteristic, complemented
28#23766026C211yesmaximal, characteristic, complemented
29#23765899C211yesmaximal, characteristic, complemented
30C2×#19098438C211yesmaximal, characteristic, complemented
31C79×#2405C211yesmaximal, characteristic, complemented
32C24×Dic79C2211yescharacteristic
33C24×Dic79C2211yescharacteristic
34#19099157—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579152C2211yescharacteristic, complemented
38C2×#14579151C2211yescharacteristic, complemented
39C2×#14579145C2211yescharacteristic, complemented
40C2×#14579145C2211yescharacteristic, complemented
41C2×#14579144C2211yescharacteristic, complemented
42C2×#14579143C2211yescharacteristic, complemented
43C2×#14579141C2211yescharacteristic, complemented
44C2×#14579138C2211yescharacteristic
45C2×#14579138C2211yescharacteristic, complemented
46C2×#14579138C2211yescharacteristic, complemented
47C2×#14579138C2211yescharacteristic, complemented
48C2×#14579133C2211yescharacteristic
49C2×#14579133C2211yescharacteristic
50C2×#14579130C2211yescharacteristic
51C2×#14579130C2211yescharacteristic
52C2×D4×Dic79—28no—
53C2×D4×Dic79C2211yescharacteristic
54C2×D4×Dic79C2211yescharacteristic
55C2×D4×Dic79C2211yescharacteristic
56C2×D4×Dic79C2211yescharacteristic
57C2×D4×Dic79C2211yescharacteristic
58C2×D4×Dic79C2211yescharacteristic
59C2×D4×Dic79C2211yescharacteristic
60C2×D4×Dic79C2211yescharacteristic
61C2×(C22⋊D79)⋊C4C2211yescharacteristic
62C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
63C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
64C22×C4⋊Dic79C2211yescharacteristic
65C22×C4⋊Dic79C2211yescharacteristic, complemented
66C22×C4⋊Dic79C2211yescharacteristic, complemented
67C22×C22⋊Dic79C2211yescharacteristic
68C22×C22⋊Dic79C2211yescharacteristic
69C22×C22⋊Dic79C2211yescharacteristic
70C22×C4×Dic79C2211yescharacteristic
71#19098502C2211yescharacteristic, complemented
72#19098500C2211yescharacteristic, complemented
73#19098499C2211yescharacteristic, complemented
74#19098499C2211yescharacteristic, complemented
75#19098496C2211yescharacteristic, complemented
76#19098495C2211yescharacteristic, complemented
77#19098495C2211yescharacteristic, complemented
78#19098493C2211yescharacteristic, complemented
79#19098491C2211yescharacteristic, complemented
80#19098491C2211yescharacteristic, complemented
81#19098491C2211yescharacteristic, complemented
82#19098491C2211yescharacteristic, complemented
83#19098491C2211yescharacteristic, complemented
84#19098488C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic, complemented
86#19098486C2211yescharacteristic, complemented
87#19098486C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098484C2211yescharacteristic, complemented
90#19098479C2211yescharacteristic, complemented
91#19098478C2211yescharacteristic, complemented
92#19098478C2211yescharacteristic, complemented
93#19098478C2211yescharacteristic, complemented
94#19098477C2211yescharacteristic
95#19098477C2211yescharacteristic
96#19098475C2211yescharacteristic, complemented
97#19098471C2211yescharacteristic
98#19098471C2211yescharacteristic
99#19098462C2211yescharacteristic, complemented
100#19098462C2211yescharacteristic, complemented
101#19098460C2211yescharacteristic, complemented
102#19098458C2211yescharacteristic, complemented
103#19098457C2211yescharacteristic, complemented
104#19098457C2211yescharacteristic, complemented
105#19098456C2211yescharacteristic, complemented
106#19098456C2211yescharacteristic, complemented
107#19098455C2211yescharacteristic, complemented
108#19098453C2211yescharacteristic, complemented
109#19098452C2211yescharacteristic, complemented
110#19098451C2211yescharacteristic, complemented
111#19098450C2211yescharacteristic, complemented
112#19098449C2211yescharacteristic, complemented
113#19098449C2211yescharacteristic, complemented
114#19098448C2211yescharacteristic, complemented
115#19098448C2211yescharacteristic, complemented
116#19098446C2211yescharacteristic, complemented
117#19098446C2211yescharacteristic, complemented
118#19098445C2211yescharacteristic, complemented
119#19098444C2211yescharacteristic, complemented
120#19098444C2211yescharacteristic, complemented
121#19098443C2211yescharacteristic
122#19098443C2211yescharacteristic
123#19098442C2211yescharacteristic
124#19098442C2211yescharacteristic, complemented
125#19098440C2211yescharacteristic
126#19098440C2211yescharacteristic
127#19098440C2211yescharacteristic
128#19098440C2211yescharacteristic, complemented
129#19098440C2211yescharacteristic, complemented
130#19098440C2211yescharacteristic, complemented
131#19098440C2211yescharacteristic, complemented
132#19098439C2211yescharacteristic, complemented
133#19098438C2211yescharacteristic
134#19098438C2211yescharacteristic
135#19098438C2211yescharacteristic
136#19098438C2211yescharacteristic
137#19098438C2211yescharacteristic
138#19098438C2211yescharacteristic, complemented
139#19098438C2211yescharacteristic, complemented
140#19098438C2211yescharacteristic, complemented
141#19098438C2211yescharacteristic, complemented
142#19098438C2211yescharacteristic, complemented
143#19098438C2211yescharacteristic, complemented
144#19098438C2211yescharacteristic, complemented
145#19098438C2211yescharacteristic, complemented
146#19098438C2211yescharacteristic, complemented
147#19098437C2211yescharacteristic, complemented
148#19098436C2211yescharacteristic
149#19098436C2211yescharacteristic, complemented
150#19098435C2211yescharacteristic
151#19098435C2211yescharacteristic
152#19098435C2211yescharacteristic, complemented
153#19098435C2211yescharacteristic, complemented
154#19098435C2211yescharacteristic, complemented
155#19098435C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic, complemented
157#19098430C2211yescharacteristic, complemented
158#19098427C2211yescharacteristic, complemented
159#19098426C2211yescharacteristic, complemented
160#19098424C2211yescharacteristic, complemented
161#19098424C2211yescharacteristic, complemented
162#19098421C2211yescharacteristic
163#19098421C2211yescharacteristic
164#19098421C2211yescharacteristic
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098419C2211yescharacteristic
169C22⋊C4×Dic79C2211yescharacteristic
170C22⋊C4×Dic79C2211yescharacteristic, complemented
171C22⋊C4×Dic79C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic, complemented
173C2×C79⋊#95C2211yescharacteristic, complemented
174C23×D4×C79C2211yescharacteristic
175C2×#123×C79C2211yescharacteristic
176C2×#123×C79C2211yescharacteristic
177C22×C22⋊C4×C79C2211yescharacteristic
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#385×C79C2211yescharacteristic
185#385×C79C2211yescharacteristic
186#379×C79C2211yescharacteristic
187#379×C79C2211yescharacteristic
188#379×C79C2211yescharacteristic
189C22×Dic158C2311yescharacteristic
190C22×C22⋊D79C2311yescharacteristic
191C22×C22⋊D79C2311yescharacteristic
192C22×C22⋊D79C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C23×Dic79—24no—
196C23×Dic79—24no—
197C23×Dic79—42no—
198C23×Dic79—42no—
199C23×Dic79—42no—
200C23×Dic79—42no—
201C23×Dic79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C23×Dic79C2311yescharacteristic
209C23×Dic79C2311yescharacteristic
210C23×Dic79C2311yescharacteristic
211C23×Dic79C2311yescharacteristic
212C23×Dic79C2311yescharacteristic
213C23×Dic79C2311yescharacteristic
214C23×Dic79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216#14579156—24no—
217#14579154—24no—
218#14579152—24no—
219#14579151—24no—
220#14579145—24no—
221#14579145—42no—
222#14579144—24no—
223#14579143—24no—
224#14579141—24no—
225#14579138—24no—
226#14579138—24no—
227#14579138—42no—
228#14579138—42no—
229#14579133—24no—
230#14579133—24no—
231#14579130—24no—
232#14579130—42no—
233D4×Dic79—24no—
234D4×Dic79—24no—
235D4×Dic79—24no—
236D4×Dic79—24no—
237D4×Dic79—24no—
238D4×Dic79—24no—
239D4×Dic79—24no—
240D4×Dic79D418yescomplemented
241(C22⋊D79)⋊C4—24no—
242(C22⋊D79)⋊C4—42no—
243(C22⋊D79)⋊C4—42no—
244C2×C4⋊Dic79—24no—
245C2×C4⋊Dic79—24no—
246C2×C4⋊Dic79—42no—
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×C4⋊Dic79C2311yescharacteristic
261C2×C4⋊Dic79C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×C22⋊Dic79—24no—
278C2×C22⋊Dic79—24no—
279C2×C22⋊Dic79—42no—
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×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×(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×C4×Dic79—24no—
311C2×C4×Dic79C2311yescharacteristic
312C2×C4×Dic79C2311yescharacteristic
313C2×C4×Dic79C2311yescharacteristic
314C2×C4×Dic79C2311yescharacteristic
315C2×C4×Dic79C2311yescharacteristic
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C79⋊#95C2311yescharacteristic
319C79⋊#95C2311yescharacteristic
320C79⋊#95C2311yescharacteristic
321C79⋊#95C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
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
350C25×C79C2311yescharacteristic
351C25×C79C2311yescharacteristic
352C22×D4×C79—24no—
353C22×D4×C79—24no—
354C22×D4×C79—24no—
355C22×D4×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C22×D4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360C23×C4×C79C2311yescharacteristic
361C23×C4×C79C2311yescharacteristic
362#123×C79—24no—
363#123×C79—24no—
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79—24no—
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊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
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79C2411yescharacteristic
392C2×Dic158—22no—
393C2×Dic158—41no—
394C2×Dic158—41no—
395C2×C22⋊D79—22no—
396C2×C22⋊D79—22no—
397C2×C22⋊D79—22no—
398C2×C22⋊D79—22no—
399C2×C22⋊D79—22no—
400C2×C22⋊D79—22no—
401C2×C22⋊D79—22no—
402C2×C22⋊D79—22no—
403C2×C22⋊D79—22no—
404C2×C22⋊D79—41no—
405C2×C22⋊D79—41no—
406C2×C22⋊D79—41no—
407C2×C22⋊D79—41no—
408C2×C22⋊D79—41no—
409C2×C22⋊D79—41no—
410C22×Dic79—22no—
411C22×Dic79—22no—
412C22×Dic79—22no—
413C22×Dic79—22no—
414C22×Dic79—22no—
415C22×Dic79—22no—
416C22×Dic79—22no—
417C22×Dic79—22no—
418C22×Dic79—22no—
419C22×Dic79—22no—
420C22×Dic79—22no—
421C22×Dic79—22no—
422C22×Dic79—22no—
423C22×Dic79—22no—
424C22×Dic79—22no—
425C22×Dic79—22no—
426C22×Dic79—22no—
427C22×Dic79—22no—
428C22×Dic79—22no—
429C22×Dic79—22no—
430C22×Dic79—22no—
431C22×Dic79—41no—
432C22×Dic79—41no—
433C22×Dic79—41no—
434C22×Dic79—41no—
435C22×Dic79—41no—
436C22×Dic79—41no—
437C22×Dic79—41no—
438C22×Dic79—41no—
439C22×Dic79—41no—
440C22×Dic79—41no—
441C22×Dic79—41no—
442C22×Dic79—41no—
443C22×Dic79—41no—
444C22×Dic79—41no—
445C22×Dic79—41no—
446C22×Dic79—41no—
447C22×Dic79—41no—
448C22×Dic79—41no—
449C22×Dic79—41no—
450C22×Dic79—416no—
451C22×Dic79—416no—
452C22×Dic79C2×D414yes—
453C22×Dic79C2×D414yes—
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C2×C4×D79—22no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C4⋊Dic79—22no—
473C4⋊Dic79—22no—
474C4⋊Dic79—22no—
475C4⋊Dic79—22no—
476C4⋊Dic79—22no—
477C4⋊Dic79—22no—
478C4⋊Dic79—22no—
479C4⋊Dic79—22no—
480C4⋊Dic79—22no—
481C4⋊Dic79—22no—
482C4⋊Dic79—41no—
483C4⋊Dic79—41no—
484C4⋊Dic79—41no—
485C4⋊Dic79—41no—
486C4⋊Dic79C2×D414yes—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501Dic79⋊C4—41no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—22no—
511C22⋊Dic79—22no—
512C22⋊Dic79—22no—
513C22⋊Dic79—22no—
514C22⋊Dic79—22no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79—41no—
519C22⋊Dic79—41no—
520C22⋊Dic79—41no—
521C22⋊Dic79C2×D414yes—
522C22⋊Dic79C2×D414yes—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532C4×Dic79—22no—
533C4×Dic79—22no—
534C4×Dic79—22no—
535C4×Dic79—22no—
536C4×Dic79—41no—
537C4×Dic79—41no—
538C4×Dic79C2×D414yes—
539C24×C79—22no—
540C24×C79—22no—
541C24×C79—22no—
542C24×C79—22no—
543C24×C79—22no—
544C24×C79—22no—
545C24×C79—22no—
546C24×C79—22no—
547C24×C79—22no—
548C24×C79—41no—
549C24×C79—41no—
550C24×C79—41no—
551C24×C79—41no—
552C24×C79#4114yes—
553C24×C79C2411yescharacteristic
554C24×C79C2411yescharacteristic
555C24×C79C2411yescharacteristic
556C24×C79C2411yescharacteristic
557C24×C79C2411yescharacteristic
558C2×D4×C79—232no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—22no—
563C2×D4×C79—22no—
564C2×D4×C79—22no—
565C2×D4×C79—22no—
566C2×D4×C79—22no—
567C2×D4×C79—22no—
568C2×D4×C79—22no—
569C2×D4×C79C2×D414yes—
570C2×D4×C79#4114yes—
571C22×C4×C79—22no—
572C22×C4×C79—22no—
573C22×C4×C79—22no—
574C22×C4×C79—22no—
575C22×C4×C79—22no—
576C22×C4×C79—22no—
577C22×C4×C79—22no—
578C22×C4×C79—41no—
579C22×C4×C79—41no—
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C22×C4×C79C2411yescharacteristic
583C22×C4×C79C2411yescharacteristic
584C22×C4×C79C2411yescharacteristic
585C22×C4×C79C2411yescharacteristic
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C4⋊C4×C79—22no—
591C4⋊C4×C79—22no—
592C4⋊C4×C79—22no—
593C4⋊C4×C79—22no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—22no—
599C22⋊C4×C79—22no—
600C22⋊C4×C79—22no—
601C22⋊C4×C79—22no—
602C22⋊C4×C79—22no—
603C22⋊C4×C79—22no—
604C22⋊C4×C79—22no—
605C22⋊C4×C79—22no—
606C22⋊C4×C79—41no—
607C22⋊C4×C79—41no—
608C22⋊C4×C79—41no—
609C22⋊C4×C79—41no—
610C22⋊C4×C79—41no—
611C22⋊C4×C79—41no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79—28no—
621C23×C79—28no—
622C23×C79—28no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
629C23×C79—21no—
630C23×C79—21no—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—44no—
642C23×C79—44no—
643C23×C79—44no—
644C23×C79—44no—
645C23×C79—44no—
646C23×C79—44no—
647C23×C79—44no—
648C23×C79—44no—
649C23×C79—44no—
650C23×C79—44no—
651C23×C79—44no—
652C23×C79C22×D412yes—
653C23×C79C22×D412yes—
654C23×C79C2×#4112yes—
655C23×C79C2×#4112yes—
656C23×C79C2×#4112yes—
657C23×C79C2×#4112yes—
658C23×C79C2×#4112yes—
659C23×C79H(5,𝔽2)12yes—
660C23×C792−1+412yes—
661C23×C79C2511yescharacteristic
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—21no—
669D4×C79—28no—
670D4×C79—28no—
671D4×C79—28no—
672D4×C79—28no—
673C2×C4×C79—28no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—44no—
703C2×C4×C79—44no—
704C2×C4×C79C22×D412yes—
705C2×C4×C79C2×#4112yes—
706C22⋊D79—44no—
707C22⋊D79—44no—
708C22⋊D79—44no—
709C22⋊D79—82no—
710C22⋊D79—82no—
711C2×Dic79—28no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—44no—
753C2×Dic79—44no—
754C2×Dic79—44no—
755C2×Dic79—44no—
756C2×Dic79—44no—
757C2×Dic79—44no—
758C2×Dic79—44no—
759C2×Dic79—44no—
760C2×Dic79—44no—
761C2×Dic79—44no—
762C2×Dic79—44no—
763C2×Dic79—82no—
764C2×Dic79—82no—
765C2×Dic79C22×D412yes—
766C2×Dic79C22×D412yes—
767C2×Dic79C22×D412yes—
768C2×Dic79C22×D412yes—
769C2×Dic79H(5,𝔽2)12yes—
770C4×D79—82no—
771Dic158—82no—
772C22×C79—22no—
773C22×C79—22no—
774C22×C79—22no—
775C22×C79—22no—
776C22×C79—22no—
777C22×C79—22no—
778C22×C79—22no—
779C22×C79—22no—
780C22×C79—22no—
781C22×C79—22no—
782C22×C79—22no—
783C22×C79—22no—
784C22×C79—22no—
785C22×C79—22no—
786C22×C79—22no—
787C22×C79—22no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—22no—
792C22×C79—22no—
793C22×C79—416no—
794C22×C79—416no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79#52514yes—
808C22×C79#53914yescomplemented
809C22×C79C23×D411yescharacteristic
810C22×C79C22×#4111yescharacteristic
811C22×C79C22×#4111yescharacteristic
812C22×C79C2×H(5,𝔽2)11yescharacteristic
813C22×C79C2×H(5,𝔽2)11yescharacteristic
814C22×C79C2×2−1+411yescharacteristic
815C22×C79#58511yescharacteristic
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C4×C79—22no—
824C4×C79—22no—
825C4×C79—41no—
826C4×C79—41no—
827C4×C79—41no—
828C4×C79—41no—
829C4×C79—41no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833Dic79—22no—
834Dic79—22no—
835Dic79—22no—
836Dic79—22no—
837Dic79—22no—
838Dic79—41no—
839Dic79—41no—
840Dic79—41no—
841Dic79—41no—
842Dic79—41no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848#34991—791nomaximal, Sylow
849C2×C79—24no—
850C2×C79—24no—
851C2×C79—42no—
852C2×C79—42no—
853C2×C79—42no—
854C2×C79C2×#52511yescharacteristic
855C2×C79C2×#53911yescharacteristic
856C2×C79#345911yescharacteristic
857C2×C79#348411yescharacteristic
858C2×C79#348911yescharacteristic
859C2×C79#351311yescharacteristic
860C2×C79#352011yescharacteristic
861D79—81no—
862C2×#539—791no—
863C22×C4×D4—791no—
864#2852—791no—
865#2851—791no—
866#2849—791no—
867#2848—791no—
868#2638—791no—
869#2636—791no—
870#2633—791no—
871#2630—791no—
872#2480—791no—
873#2473—791no—
874#2466—791no—
875#2463—791no—
876#2460—791no—
877#2455—791no—
878#2449—791no—
879#2449—791no—
880#2443—791no—
881#2437—791no—
882#2425—791no—
883#2419—791no—
884#2418—791no—
885#2412—791no—
886#2410—791no—
887#2405D7911yescharacteristic, complemented
888#2325—791no—
889#2322—791no—
890#2318—791no—
891C4×#120—791no—
892C2×#385—791no—
893C79#3499111yescharacteristic, complemented, Sylow
894C23×D4C2×D7911yescharacteristic
895C24×C4—791no—
896C24×C4—791no—
897#539—1588no—
898C2×#126—791no—
899C2×#126—791no—
900C2×#125—791no—
901C2×#125—791no—
902C2×#123—791no—
903C2×#123—791no—
904C2×#123—791no—
905C2×#123—791no—
906C2×#123C2×D7911yescharacteristic
907C2×#123C2×D7911yescharacteristic
908C2×C22⋊Q8—791no—
909C2×C22⋊Q8—791no—
910C2×C22⋊Q8—791no—
911C2×C22⋊Q8—791no—
912C2×C22⋊Q8—791no—
913C2×#121—791no—
914C2×#121—791no—
915C2×#120—791no—
916C2×#120—791no—
917C2×C4×D4—791no—
918C2×C4×D4—791no—
919C2×C4×D4—791no—
920C2×C4×D4—791no—
921C2×C4×D4—791no—
922C2×C4×D4—791no—
923C2×C4×D4—791no—
924C2×C4×D4—791no—
925C2×C4×D4—791no—
926C2×C4×D4—791no—
927C2×C4×D4—791no—
928C2×C4×D4—1588no—
929C22×C4⋊C4—791no—
930C22×C4⋊C4—791no—
931C22×C4⋊C4—791no—
932C22×C22⋊C4—791no—
933C22×C22⋊C4—791no—
934C22×C22⋊C4—791no—
935C22×C22⋊C4C2×D7911yescharacteristic
936C22×C42—791no—
937#400—791no—
938#399—791no—
939#399—791no—
940#399—791no—
941#398—791no—
942#398—791no—
943#398—791no—
944#398—791no—
945#397—791no—
946#397—791no—
947#397—791no—
948#397—791no—
949#397—791no—
950#397—791no—
951#396—791no—
952#396—791no—
953#396—791no—
954#396—791no—
955#395—791no—
956#394—791no—
957#394—791no—
958#394—791no—
959#394—791no—
960#394—791no—
961#394—791no—
962#394C2×D7911yescharacteristic
963#394C2×D7911yescharacteristic
964#394C2×D7911yescharacteristic
965#394C2×D7911yescharacteristic
966#393—791no—
967#392—791no—
968#392—791no—
969#389—791no—
970#389—791no—
971#389—791no—
972#389—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388—791no—
980#388—791no—
981#387—791no—
982#387—791no—
983#387—791no—
984#387—791no—
985#387—791no—
986#387—791no—
987#387—791no—
988#387—791no—
989#387—791no—
990#387—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386—791no—
998#386—791no—
999#386—791no—
1000#386—791no—
1001#386—791no—
1002#386—791no—
1003#386C2×D7911yescharacteristic
1004#386C2×D7911yescharacteristic
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385—791no—
1012#385—791no—
1013#385—791no—
1014#385—791no—
1015#385—791no—
1016#385—791no—
1017#385—791no—
1018#385—791no—
1019#385—791no—
1020#385—791no—
1021#385—791no—
1022#385—791no—
1023#385—791no—
1024#385—791no—
1025#385—791no—
1026#385—791no—
1027#385—791no—
1028#385—791no—
1029#385C2×D7911yescharacteristic
1030#385C2×D7911yescharacteristic
1031#383—791no—
1032#382—791no—
1033#381—791no—
1034#381—791no—
1035#381—791no—
1036#380—791no—
1037#380—791no—
1038#380—791no—
1039#380—791no—
1040#380—791no—
1041#380—791no—
1042#379—791no—
1043#379C2×D7911yescharacteristic
1044#379C2×D7911yescharacteristic
1045#379C2×D7911yescharacteristic
1046C4×C22⋊C4—791no—
1047C4×C22⋊C4—791no—
1048C4×C22⋊C4—791no—
1049C2×#95—791no—
1050C2×#95—791no—
1051C25C22×D7911yescharacteristic
1052C25C22×D7911yescharacteristic
1053C22×Q8—791no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4—791no—
1058C22×D4—791no—
1059C22×D4—791no—
1060C22×D4—791no—
1061C22×D4—791no—
1062C22×D4C22×D7911yescharacteristic
1063C22×D4C22×D7911yescharacteristic
1064C22×D4C22×D7911yescharacteristic
1065C22×D4C22×D7911yescharacteristic
1066C23×C4—3162no—
1067C23×C4—3162no—
1068C23×C4—3162no—
1069C23×C4—3162no—
1070C23×C4—791no—
1071C23×C4—791no—
1072C23×C4—791no—
1073C23×C4—791no—
1074C23×C4—791no—
1075C23×C4—791no—
1076C23×C4—791no—
1077C23×C4—791no—
1078C23×C4—791no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—791no—
1084C23×C4—791no—
1085C23×C4—1584no—
1086C23×C4—1584no—
1087C23×C4C22×D7911yescharacteristic
1088C23×C4C22×D7911yescharacteristic
1089C23×C4C22×D7911yescharacteristic
1090#126—1584no—
1091#126—1584no—
1092#125—1584no—
1093#125—1584no—
1094#123—24no—
1095#123—24no—
1096#123—3162no—
1097#123—1584no—
1098#123—1584no—
1099#123—1584no—
1100C22⋊Q8—3162no—
1101C22⋊Q8—3162no—
1102C22⋊Q8—1584no—
1103C22⋊Q8—1584no—
1104C22⋊Q8—1584no—
1105#121—1584no—
1106#121—1584no—
1107#120—3162no—
1108#120—1584no—
1109C4×D4—3162no—
1110C4×D4—3162no—
1111C4×D4—798no—
1112C4×D4—1584no—
1113C4×D4—1584no—
1114C4×D4—1584no—
1115C4×D4—1584no—
1116C4×D4—1584no—
1117C4×D4—1584no—
1118C4×D4—1584no—
1119C4×D4—1584no—
1120C2×C4⋊C4—3162no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—791no—
1130C2×C4⋊C4—791no—
1131C2×C4⋊C4—791no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4—791no—
1139C2×C4⋊C4—791no—
1140C2×C4⋊C4—791no—
1141C2×C4⋊C4—791no—
1142C2×C4⋊C4—791no—
1143C2×C4⋊C4—791no—
1144C2×C4⋊C4—791no—
1145C2×C4⋊C4—791no—
1146C2×C4⋊C4—791no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—1584no—
1152C2×C4⋊C4—1584no—
1153C2×C4⋊C4C22×D7911yescharacteristic
1154C2×C4⋊C4C22×D7911yescharacteristic
1155C2×C4⋊C4C22×D7911yescharacteristic
1156C2×C4⋊C4C22×D7911yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—3162no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—791no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—1584no—
1190C2×C22⋊C4—1584no—
1191C2×C22⋊C4C22×D7911yescharacteristic
1192C2×C22⋊C4C22×D7911yescharacteristic
1193C2×C22⋊C4C22×D7911yescharacteristic
1194C2×C22⋊C4C22×D7911yescharacteristic
1195C2×C22⋊C4C22×D7911yescharacteristic
1196C2×C22⋊C4C22×D7911yescharacteristic
1197C2×C22⋊C4C22×D7911yescharacteristic
1198C2×C22⋊C4C22×D7911yescharacteristic
1199C2×C22⋊C4C22×D7911yescharacteristic
1200C2×C22⋊C4C22×D7911yescharacteristic
1201C2×C22⋊C4C22×D7911yescharacteristic
1202C2×C22⋊C4C22×D7911yescharacteristic
1203C2×C22⋊C4C22×D7911yescharacteristic
1204C2×C22⋊C4C22×D7911yescharacteristic
1205C2×C22⋊C4C22×D7911yescharacteristic
1206C2×C22⋊C4C22×D7911yescharacteristic
1207C2×C22⋊C4C22×D7911yescharacteristic
1208C2×C22⋊C4C22×D7911yescharacteristic
1209C2×C42—791no—
1210C2×C42—791no—
1211C2×C42—791no—
1212C2×C42—791no—
1213C2×C42—791no—
1214C2×C42—791no—
1215C2×C42—791no—
1216C2×C42—1584no—
1217#95—791no—
1218#95—791no—
1219#95—791no—
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252#95C22×D7911yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—791no—
1267C24#1192962314yes—
1268C24C23×D7911yescharacteristic
1269C24C23×D7911yescharacteristic
1270C24C23×D7911yescharacteristic
1271C24C23×D7911yescharacteristic
1272C24C23×D7911yescharacteristic
1273C2×Q8—3161no—
1274C2×Q8—3161no—
1275C2×Q8—1582no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—3161no—
1288C2×D4—3161no—
1289C2×D4—3161no—
1290C2×D4—3161no—
1291C2×D4—3161no—
1292C2×D4—3161no—
1293C2×D4—1582no—
1294C2×D4—1582no—
1295C2×D4—1582no—
1296C2×D4—1582no—
1297C2×D4—1582no—
1298C2×D4—1582no—
1299C2×D4—1582no—
1300C2×D4—1582no—
1301C2×D4—1582no—
1302C2×D4D4×D7914yes—
1303C2×D4#1192962314yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—3161no—
1314C22×C4—3161no—
1315C22×C4—31616no—
1316C22×C4—31616no—
1317C22×C4—3161no—
1318C22×C4—3161no—
1319C22×C4—3161no—
1320C22×C4—3161no—
1321C22×C4—3161no—
1322C22×C4—3161no—
1323C22×C4—3161no—
1324C22×C4—3161no—
1325C22×C4—3161no—
1326C22×C4—3161no—
1327C22×C4—3161no—
1328C22×C4—3161no—
1329C22×C4—3161no—
1330C22×C4—3161no—
1331C22×C4—3161no—
1332C22×C4—3161no—
1333C22×C4—3161no—
1334C22×C4—3161no—
1335C22×C4—3161no—
1336C22×C4—794no—
1337C22×C4—794no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—791no—
1341C22×C4—791no—
1342C22×C4—791no—
1343C22×C4—791no—
1344C22×C4—791no—
1345C22×C4—791no—
1346C22×C4—791no—
1347C22×C4—791no—
1348C22×C4—791no—
1349C22×C4—791no—
1350C22×C4—791no—
1351C22×C4—791no—
1352C22×C4—791no—
1353C22×C4—1582no—
1354C22×C4—1582no—
1355C22×C4—1582no—
1356C22×C4—1582no—
1357C22×C4—1582no—
1358C22×C4—1582no—
1359C22×C4—1582no—
1360C22×C4—1582no—
1361C22×C4—1582no—
1362C22×C4—1582no—
1363C22×C4—1582no—
1364C22×C4—1582no—
1365C22×C4—1582no—
1366C22×C4—1582no—
1367C22×C4—1582no—
1368C22×C4—1582no—
1369C22×C4—1582no—
1370C22×C4—1582no—
1371C22×C4—1582no—
1372C22×C4—1582no—
1373C22×C4—1582no—
1374C22×C4—1582no—
1375C22×C4C23×D7911yescharacteristic
1376C22×C4C23×D7911yescharacteristic
1377C22×C4C23×D7911yescharacteristic
1378C22×C4C23×D7911yescharacteristic
1379C22×C4C23×D7911yescharacteristic
1380C22×C4C23×D7911yescharacteristic
1381C22×C4C23×D7911yescharacteristic
1382C22×C4C23×D7911yescharacteristic
1383C22×C4C23×D7911yescharacteristic
1384C22×C4C23×D7911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—3161no—
1390C4⋊C4—3161no—
1391C4⋊C4—3161no—
1392C4⋊C4—3161no—
1393C4⋊C4—3161no—
1394C4⋊C4—3161no—
1395C4⋊C4—3161no—
1396C4⋊C4—3161no—
1397C4⋊C4—3161no—
1398C4⋊C4—3161no—
1399C4⋊C4—3161no—
1400C4⋊C4—794no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4—1582no—
1405C4⋊C4—1582no—
1406C4⋊C4—1582no—
1407C4⋊C4—1582no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C4⋊C4—1582no—
1411C4⋊C4—1582no—
1412C4⋊C4—1582no—
1413C4⋊C4—1582no—
1414C4⋊C4—1582no—
1415C4⋊C4—1582no—
1416C4⋊C4—1582no—
1417C4⋊C4—1582no—
1418C4⋊C4—1582no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—3161no—
1438C22⋊C4—3161no—
1439C22⋊C4—3161no—
1440C22⋊C4—3161no—
1441C22⋊C4—3161no—
1442C22⋊C4—3161no—
1443C22⋊C4—3161no—
1444C22⋊C4—3161no—
1445C22⋊C4—3161no—
1446C22⋊C4—794no—
1447C22⋊C4—794no—
1448C22⋊C4—1582no—
1449C22⋊C4—1582no—
1450C22⋊C4—1582no—
1451C22⋊C4—1582no—
1452C22⋊C4—1582no—
1453C22⋊C4—1582no—
1454C22⋊C4—1582no—
1455C22⋊C4—1582no—
1456C22⋊C4—1582no—
1457C22⋊C4—1582no—
1458C22⋊C4—1582no—
1459C22⋊C4—1582no—
1460C22⋊C4—1582no—
1461C22⋊C4—1582no—
1462C22⋊C4—1582no—
1463C22⋊C4—1582no—
1464C22⋊C4—1582no—
1465C22⋊C4—1582no—
1466C22⋊C4—1582no—
1467C42—3161no—
1468C42—3161no—
1469C42—794no—
1470C42—1582no—
1471C42—1582no—
1472C42—1582no—
1473C42—1582no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—28no—
1496C23—28no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23—1581no—
1518C23—1581no—
1519C23—1581no—
1520C23—1581no—
1521C23C2×D4×D7912yes—
1522C23C2×D4×D7912yes—
1523C23C2×#1192962312yes—
1524C23C2×#1192962312yes—
1525C23C2×#1192962312yes—
1526C23C2×#1192962312yes—
1527C23C2×#1192962312yes—
1528C23#1457920712yes—
1529C23#1457920812yes—
1530C23C24×D7911yescharacteristic
1531Q8—6322no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—3164no—
1537D4—3164no—
1538D4—3164no—
1539D4—6322no—
1540D4—6322no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—3164no—
1573C2×C4—3164no—
1574C2×C4—3164no—
1575C2×C4—3164no—
1576C2×C4—3164no—
1577C2×C4—3164no—
1578C2×C4—3164no—
1579C2×C4—3164no—
1580C2×C4—3164no—
1581C2×C4—3164no—
1582C2×C4—3164no—
1583C2×C4—792no—
1584C2×C4—792no—
1585C2×C4—792no—
1586C2×C4—792no—
1587C2×C4—792no—
1588C2×C4—6322no—
1589C2×C4—6322no—
1590C2×C4—6322no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4—1581no—
1596C2×C4—1581no—
1597C2×C4—1581no—
1598C2×C4—1581no—
1599C2×C4—1581no—
1600C2×C4—1581no—
1601C2×C4—1581no—
1602C2×C4—1581no—
1603C2×C4—1581no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4—1581no—
1610C2×C4—1581no—
1611C2×C4—1581no—
1612C2×C4—1581no—
1613C2×C4—1581no—
1614C2×C4—1581no—
1615C2×C4—1581no—
1616C2×C4—1581no—
1617C2×C4—1581no—
1618C2×C4—1581no—
1619C2×C4—1581no—
1620C2×C4—1581no—
1621C2×C4—1588no—
1622C2×C4—1581no—
1623C2×C4—1581no—
1624C2×C4—1581no—
1625C2×C4—1581no—
1626C2×C4—1581no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4C2×D4×D7912yes—
1633C2×C4C2×#1192962312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—3161no—
1670C22—3161no—
1671C22—3161no—
1672C22—3161no—
1673C22—3161no—
1674C22—3161no—
1675C22—3161no—
1676C22#1909906914yes—
1677C22#1909915714yescomplemented
1678C22C22×D4×D7911yescharacteristic
1679C22C22×#1192962311yescharacteristic
1680C22C22×#1192962311yescharacteristic
1681C22H(5,𝔽2)×D7911yescharacteristic
1682C22C2×#1457920711yescharacteristic
1683C22C2×#1457920811yescharacteristic
1684C22#1909939811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—3161no—
1696C4—3161no—
1697C4—3161no—
1698C4—3161no—
1699C4—3161no—
1700C4—3161no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—1582no—
1706C4—1582no—
1707C4—1582no—
1708C4—1582no—
1709C4—1582no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—6321no—
1716C2C2×#1909906911yescharacteristic
1717C2C2×#1909915711yescharacteristic
1718C2#2377680611yescharacteristic
1719C2#2377703011yescharacteristic
1720C2#2377707111yescharacteristic
1721C2#2377734111yescharacteristic
1722C2#2377743611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2405C2
prime radical#23766774C2
hypercenter#2405D79
hypocenterC79#34991
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#19099157C2semidirect
2. C22×D4×Dic79C2semidirect
3. #23771717C2semidirect
4. #23771706C2semidirect
5. #23771694C2semidirect
6. #23771685C2semidirect
7. #23769316C2semidirect
8. #23769296C2semidirect
9. #23769267C2semidirect
10. #23769238C2semidirect
11. #23767645C2semidirect
12. #23767540C2semidirect
13. #23767431C2semidirect
14. #23767392C2semidirect
15. #23767347C2semidirect
16. #23767278C2semidirect
17. #23767215C2semidirect
18. #23767207C2semidirect
19. #23767133C2semidirect
20. #23767066C2semidirect
21. #23766955C2semidirect
22. #23766873C2semidirect
23. #23766866C2semidirect
24. #23766796C2semidirect
26. #23766101C2semidirect
27. #23766072C2semidirect
28. #23766026C2semidirect
29. #23765899C2semidirect
30. C2×#19098438C2semidirect
31. C79×#2405C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579152C22semidirect
38. C2×#14579151C22semidirect
39. C2×#14579145C22semidirect
40. C2×#14579145C22semidirect
41. C2×#14579144C22semidirect
42. C2×#14579143C22semidirect
43. C2×#14579141C22semidirect
45. C2×#14579138C22semidirect
46. C2×#14579138C22semidirect
47. C2×#14579138C22semidirect
62. C2×(C22⋊D79)⋊C4C22semidirect
63. C2×(C22⋊D79)⋊C4C22semidirect
65. C22×C4⋊Dic79C22semidirect
66. C22×C4⋊Dic79C22semidirect
71. #19098502C22semidirect
72. #19098500C22semidirect
73. #19098499C22semidirect
74. #19098499C22semidirect
75. #19098496C22semidirect
76. #19098495C22semidirect
77. #19098495C22semidirect
78. #19098493C22semidirect
79. #19098491C22semidirect
80. #19098491C22semidirect
81. #19098491C22semidirect
82. #19098491C22semidirect
83. #19098491C22semidirect
84. #19098488C22semidirect
85. #19098486C22semidirect
86. #19098486C22semidirect
87. #19098486C22semidirect
88. #19098485C22semidirect
89. #19098484C22semidirect
90. #19098479C22semidirect
91. #19098478C22semidirect
92. #19098478C22semidirect
93. #19098478C22semidirect
96. #19098475C22semidirect
99. #19098462C22semidirect
100. #19098462C22semidirect
101. #19098460C22semidirect
102. #19098458C22semidirect
103. #19098457C22semidirect
104. #19098457C22semidirect
105. #19098456C22semidirect
106. #19098456C22semidirect
107. #19098455C22semidirect
108. #19098453C22semidirect
109. #19098452C22semidirect
110. #19098451C22semidirect
111. #19098450C22semidirect
112. #19098449C22semidirect
113. #19098449C22semidirect
114. #19098448C22semidirect
115. #19098448C22semidirect
116. #19098446C22semidirect
117. #19098446C22semidirect
118. #19098445C22semidirect
119. #19098444C22semidirect
120. #19098444C22semidirect
124. #19098442C22semidirect
128. #19098440C22semidirect
129. #19098440C22semidirect
130. #19098440C22semidirect
131. #19098440C22semidirect
132. #19098439C22semidirect
138. #19098438C22semidirect
139. #19098438C22semidirect
140. #19098438C22semidirect
141. #19098438C22semidirect
142. #19098438C22semidirect
143. #19098438C22semidirect
144. #19098438C22semidirect
145. #19098438C22semidirect
146. #19098438C22semidirect
147. #19098437C22semidirect
149. #19098436C22semidirect
152. #19098435C22semidirect
153. #19098435C22semidirect
154. #19098435C22semidirect
155. #19098435C22semidirect
156. #19098435C22semidirect
157. #19098430C22semidirect
158. #19098427C22semidirect
159. #19098426C22semidirect
160. #19098424C22semidirect
161. #19098424C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
170. C22⋊C4×Dic79C22semidirect
171. C22⋊C4×Dic79C22semidirect
172. C2×C79⋊#95C22semidirect
173. C2×C79⋊#95C22semidirect
240. D4×Dic79D4semidirect
808. C22×C79#539semidirect
887. #2405D79semidirect
893. C79#34991semidirect
1677. C22#19099157semidirect

Maximal subgroups

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

subgroupindex
C2×#190991572
C22×D4×Dic792
#237717172
#237717062
#237716942
#237716852
#237693162
#237692962
#237692672
#237692382
#237676452
#237675402
#237674312
#237673922
#237673472
#237672782
#237672152
#237672072
#237671332
#237670662
#237669552
#237668732
#237668662
#237667962
#237667742
#237661012
#237660722
#237660262
#237658992
C2×#190984382
C79×#24052
#3499179