Finite Group Databasebeta

← #34495088

Subgroups — #34495088

Order 20224.

2630 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099145C211yesmaximal, characteristic, complemented
2C2×#123×D79C211yesmaximal, characteristic, complemented
3#23771686C211yesmaximal, characteristic, complemented
4#23771679C211yesmaximal, characteristic, complemented
5#23769941C211yesmaximal, characteristic, complemented
6#23769939C211yesmaximal, characteristic, complemented
7#23769933C211yesmaximal, characteristic, complemented
8#23769931C211yesmaximal, characteristic, complemented
9#23769911C211yesmaximal, characteristic, complemented
10#23769909C211yesmaximal, characteristic, complemented
11#23769908C211yesmaximal, characteristic, complemented
12#23769906C211yesmaximal, characteristic, complemented
13#23769657C211yesmaximal, characteristic, complemented
14#23769656C211yesmaximal, characteristic, complemented
15#23769645C211yesmaximal, characteristic, complemented
16#23769644C211yesmaximal, characteristic, complemented
17#23769635C211yesmaximal, characteristic, complemented
18#23769632C211yesmaximal, characteristic, complemented
19#23769631C211yesmaximal, characteristic, complemented
20#23769218C211yesmaximal, characteristic, complemented
21#23769141C211yesmaximal, characteristic, complemented
22#23768288C211yesmaximal, characteristic, complemented
23#23768285C211yesmaximal, characteristic, complemented
24#23767713C211yesmaximal, characteristic, complemented
25#23767710C211yesmaximal, characteristic, complemented
26#23766795C211yesmaximal, characteristic, complemented
27#23766791C211yesmaximal, characteristic, complemented
28#23766771C211yesmaximal, characteristic, complemented
29#23766767C211yesmaximal, characteristic, complemented
30#23766011C211yesmaximal, characteristic, complemented
31C79×#2671C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099145—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579148C2211yescharacteristic, complemented
38C2×#14579147C2211yescharacteristic, complemented
39C2×#14579146C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579145C2211yescharacteristic
42C2×#14579144C2211yescharacteristic
43C2×#14579144C2211yescharacteristic, complemented
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579142C2211yescharacteristic
49C2×#14579142C2211yescharacteristic, complemented
50#123×D79—28no—
51C2×#14579139C2211yescharacteristic
52C2×#14579139C2211yescharacteristic, complemented
53C2×#14579138C2211yescharacteristic, complemented
54C2×#14579134C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579133C2211yescharacteristic, complemented
57C2×#14579132C2211yescharacteristic
58C2×#14579132C2211yescharacteristic
59C2×#14579132C2211yescharacteristic, complemented
60C2×#14579129C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×#14579129C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×C4×C22⋊D79C2211yescharacteristic
65C2×(C22⋊D79)⋊C4C2211yescharacteristic
66C2×C4⋊C4×D79C2211yescharacteristic
67C2×C4⋊C4×D79C2211yescharacteristic
68C22×(C2×D79)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C22⋊C4×D79C2211yescharacteristic
71C2×C22⋊C4×D79C2211yescharacteristic
72C2×C22⋊C4×D79C2211yescharacteristic
73#19098505C2211yescharacteristic, complemented
74#19098504C2211yescharacteristic, complemented
75#19098504C2211yescharacteristic, complemented
76#19098504C2211yescharacteristic, complemented
77#19098503C2211yescharacteristic, complemented
78#19098501C2211yescharacteristic, complemented
79#19098499C2211yescharacteristic, complemented
80#19098499C2211yescharacteristic, complemented
81#19098499C2211yescharacteristic, complemented
82#19098496C2211yescharacteristic, complemented
83#19098496C2211yescharacteristic, complemented
84#19098495C2211yescharacteristic, complemented
85#19098493C2211yescharacteristic, complemented
86#19098493C2211yescharacteristic, complemented
87#19098492C2211yescharacteristic, complemented
88#19098491C2211yescharacteristic, complemented
89#19098490C2211yescharacteristic, complemented
90#19098488C2211yescharacteristic, complemented
91#19098487C2211yescharacteristic, complemented
92#19098486C2211yescharacteristic, complemented
93#19098486C2211yescharacteristic, complemented
94#19098486C2211yescharacteristic, complemented
95#19098486C2211yescharacteristic, complemented
96#19098486C2211yescharacteristic, complemented
97#19098486C2211yescharacteristic, complemented
98#19098485C2211yescharacteristic, complemented
99#19098484C2211yescharacteristic, complemented
100#19098483C2211yescharacteristic, complemented
101#19098480C2211yescharacteristic
102#19098479C2211yescharacteristic
103#19098479C2211yescharacteristic, complemented
104#19098479C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic
106#19098478C2211yescharacteristic, complemented
107#19098478C2211yescharacteristic, complemented
108#19098477C2211yescharacteristic
109#19098477C2211yescharacteristic, complemented
110#19098477C2211yescharacteristic, complemented
111#19098477C2211yescharacteristic, complemented
112#19098472C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic
115#19098462C2211yescharacteristic, complemented
116#19098459C2211yescharacteristic, complemented
117#19098458C2211yescharacteristic, complemented
118#19098458C2211yescharacteristic, complemented
119#19098456C2211yescharacteristic, complemented
120#19098455C2211yescharacteristic, complemented
121#19098452C2211yescharacteristic, complemented
122#19098451C2211yescharacteristic, complemented
123#19098443C2211yescharacteristic
124#19098443C2211yescharacteristic, complemented
125#19098443C2211yescharacteristic, complemented
126#19098443C2211yescharacteristic, complemented
127#19098443C2211yescharacteristic, complemented
128#19098442C2211yescharacteristic
129#19098442C2211yescharacteristic, complemented
130#19098441C2211yescharacteristic
131#19098440C2211yescharacteristic, complemented
132#19098439C2211yescharacteristic
133#19098439C2211yescharacteristic
134#19098439C2211yescharacteristic
135#19098439C2211yescharacteristic
136#19098439C2211yescharacteristic
137#19098439C2211yescharacteristic, complemented
138#19098439C2211yescharacteristic, complemented
139#19098439C2211yescharacteristic, complemented
140#19098439C2211yescharacteristic, complemented
141#19098438C2211yescharacteristic, complemented
142#19098437C2211yescharacteristic
143#19098437C2211yescharacteristic
144#19098437C2211yescharacteristic, complemented
145#19098437C2211yescharacteristic, complemented
146#19098437C2211yescharacteristic, complemented
147#19098436C2211yescharacteristic, complemented
148#19098436C2211yescharacteristic, complemented
149#19098435C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic
151#19098434C2211yescharacteristic
152#19098434C2211yescharacteristic, complemented
153#19098434C2211yescharacteristic, complemented
154#19098434C2211yescharacteristic, complemented
155#19098425C2211yescharacteristic
156#19098425C2211yescharacteristic
157#19098423C2211yescharacteristic, complemented
158#19098423C2211yescharacteristic, complemented
159#19098423C2211yescharacteristic, complemented
160#19098422C2211yescharacteristic
161#19098422C2211yescharacteristic
162#19098422C2211yescharacteristic, complemented
163#19098422C2211yescharacteristic, complemented
164#19098421C2211yescharacteristic, complemented
165#19098421C2211yescharacteristic, complemented
166#19098421C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic
169#19098420C2211yescharacteristic
170#19098420C2211yescharacteristic, complemented
171#19098420C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×#123×C79C2211yescharacteristic
175C2×#121×C79C2211yescharacteristic
176C2×#121×C79C2211yescharacteristic, complemented
177C2×#121×C79C2211yescharacteristic, complemented
178#399×C79C2211yescharacteristic, complemented
179#398×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic, complemented
182#394×C79C2211yescharacteristic, complemented
183#392×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79C2311yescharacteristic
194C22×C22⋊D79C2311yescharacteristic
195C22×C22⋊D79C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C2×D4×D79—24no—
202C2×D4×D79—42no—
203C2×D4×D79—42no—
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C22×C4×D79—24no—
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219#14579156—24no—
220#14579154—24no—
221#14579148—24no—
222#14579147—24no—
223#14579146—24no—
224#14579146—24no—
225#14579145—24no—
226#14579144—24no—
227#14579144—24no—
228#14579143—24no—
229#14579143—24no—
230#14579143—42no—
231#14579143—42no—
232#14579142—24no—
233#14579142—24no—
234#14579139—24no—
235#14579139—42no—
236#14579138—42no—
237#14579134—42no—
238#14579133—24no—
239#14579133—42no—
240#14579132—24no—
241#14579132—42no—
242#14579132—42no—
243#14579129—24no—
244#14579129—24no—
245#14579129—42no—
246#14579129—42no—
247C4×C22⋊D79—24no—
248(C22⋊D79)⋊C4—24no—
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×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
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
276C4⋊C4×D79—24no—
277C4⋊C4×D79—24no—
278C2×C22⋊Dic79C2311yescharacteristic
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×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×C22⋊Dic79C2311yescharacteristic
296C2×C22⋊Dic79C2311yescharacteristic
297C2×(C2×D79)⋊C4—42no—
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
320C22⋊C4×D79—24no—
321C22⋊C4×D79—24no—
322C22⋊C4×D79—42no—
323C22⋊C4×D79D418yescomplemented
324C2×C4×Dic79C2311yescharacteristic
325C2×C4×Dic79C2311yescharacteristic
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
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C22×D4×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C23×C4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360C23×C4×C79C2311yescharacteristic
361#123×C79—24no—
362#121×C79—24no—
363#121×C79—42no—
364#121×C79—42no—
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C4⋊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
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—22no—
397C23×D79—22no—
398C23×D79—41no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79C2×D414yes—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C2×Dic158—22no—
409C2×Dic158—41no—
410C2×Dic158—41no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—41no—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—22no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C2×C22⋊D79—41no—
436C2×C22⋊D79—41no—
437C2×C22⋊D79—41no—
438D4×D79—416no—
439C22×Dic79—22no—
440C22×Dic79—22no—
441C22×Dic79—22no—
442C22×Dic79—41no—
443C22×Dic79—41no—
444C22×Dic79—41no—
445C22×Dic79—41no—
446C22×Dic79—41no—
447C22×Dic79—41no—
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—41no—
471C2×C4×D79—41no—
472C2×C4×D79—41no—
473C2×C4×D79—41no—
474C2×C4×D79—41no—
475C2×C4×D79—41no—
476C2×C4×D79—41no—
477C2×C4×D79—41no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—41no—
481C2×C4×D79—41no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—416no—
487C2×C4×D79C2×D414yes—
488C2×C4×D79C2×D414yes—
489C4⋊Dic79—22no—
490C4⋊Dic79—22no—
491C4⋊Dic79—22no—
492C4⋊Dic79—41no—
493C4⋊Dic79—41no—
494C4⋊Dic79—41no—
495C4⋊Dic79—41no—
496C4⋊Dic79—41no—
497C4⋊Dic79—41no—
498Dic79⋊C4—22no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505Dic79⋊C4—22no—
506Dic79⋊C4—41no—
507Dic79⋊C4—41no—
508Dic79⋊C4—41no—
509Dic79⋊C4—41no—
510Dic79⋊C4—41no—
511Dic79⋊C4—41no—
512Dic79⋊C4—41no—
513Dic79⋊C4—41no—
514Dic79⋊C4—41no—
515Dic79⋊C4—41no—
516C22⋊Dic79—22no—
517C22⋊Dic79—22no—
518C22⋊Dic79—22no—
519C22⋊Dic79—22no—
520C22⋊Dic79—22no—
521C22⋊Dic79—22no—
522C22⋊Dic79—22no—
523C22⋊Dic79—22no—
524C22⋊Dic79—41no—
525C22⋊Dic79—41no—
526C22⋊Dic79—41no—
527C22⋊Dic79—41no—
528C22⋊Dic79—41no—
529C22⋊Dic79—41no—
530C22⋊Dic79—41no—
531C22⋊Dic79—41no—
532C22⋊Dic79—41no—
533C22⋊Dic79—41no—
534C22⋊Dic79C2×D414yes—
535(C2×D79)⋊C4—22no—
536(C2×D79)⋊C4—22no—
537(C2×D79)⋊C4—22no—
538(C2×D79)⋊C4—22no—
539(C2×D79)⋊C4—22no—
540(C2×D79)⋊C4—22no—
541(C2×D79)⋊C4—22no—
542(C2×D79)⋊C4—22no—
543(C2×D79)⋊C4—22no—
544(C2×D79)⋊C4—22no—
545(C2×D79)⋊C4—22no—
546(C2×D79)⋊C4—22no—
547(C2×D79)⋊C4—22no—
548(C2×D79)⋊C4—22no—
549(C2×D79)⋊C4—41no—
550(C2×D79)⋊C4—41no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553(C2×D79)⋊C4—41no—
554(C2×D79)⋊C4—41no—
555(C2×D79)⋊C4C2×D414yes—
556(C2×D79)⋊C4C2×D414yes—
557C4×Dic79—22no—
558C4×Dic79—22no—
559C24×C79C2411yescharacteristic
560C24×C79C2411yescharacteristic
561C24×C79C2411yescharacteristic
562C24×C79C2411yescharacteristic
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×C79—22no—
570C2×D4×C79—41no—
571C2×D4×C79—41no—
572C2×D4×C79—41no—
573C2×D4×C79—41no—
574C2×D4×C79—41no—
575C2×D4×C79—41no—
576C2×D4×C79—41no—
577C2×D4×C79—41no—
578C2×D4×C79—41no—
579C2×D4×C79—41no—
580C2×D4×C79—41no—
581C22×C4×C79—22no—
582C22×C4×C79—22no—
583C22×C4×C79—22no—
584C22×C4×C79—41no—
585C22×C4×C79—41no—
586C22×C4×C79—41no—
587C22×C4×C79—41no—
588C22×C4×C79—41no—
589C22×C4×C79—41no—
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C22×C4×C79C2411yescharacteristic
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C22×C4×C79C2411yescharacteristic
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2411yescharacteristic
601C4⋊C4×C79—22no—
602C4⋊C4×C79—22no—
603C4⋊C4×C79—22no—
604C4⋊C4×C79—41no—
605C4⋊C4×C79—41no—
606C4⋊C4×C79—41no—
607C4⋊C4×C79—41no—
608C22⋊C4×C79—22no—
609C22⋊C4×C79—22no—
610C22⋊C4×C79—22no—
611C22⋊C4×C79—22no—
612C22⋊C4×C79—41no—
613C22⋊C4×C79—41no—
614C22⋊C4×C79—41no—
615C22⋊C4×C79—41no—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79—41no—
619C22⋊C4×C79—41no—
620C22⋊C4×C79C2×D414yes—
621C23×C79—21no—
622C23×C79—21no—
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—21no—
642C23×C79—21no—
643C23×C79—21no—
644C23×C79—21no—
645C23×C79—21no—
646C23×C79—21no—
647C23×C79C22×D412yes—
648C23×C79H(5,𝔽2)12yes—
649C23×C79C2511yescharacteristic
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—28no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—28no—
668C22×D79—44no—
669C22×D79—44no—
670C22×D79—44no—
671C22×D79—44no—
672C22×D79—44no—
673C22×D79—44no—
674C22×D79—44no—
675C22×D79—44no—
676C22×D79—82no—
677C22×D79—82no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79C22×D412yes—
681C22×D79C22×D412yes—
682C22×D79H(5,𝔽2)12yes—
683C22×D79H(5,𝔽2)12yes—
684C22×D792−1+412yes—
685D4×C79—44no—
686D4×C79—82no—
687D4×C79—82no—
688D4×C79—82no—
689D4×C79—82no—
690D4×C79—82no—
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—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—44no—
723C2×C4×C79—82no—
724C2×C4×C79—82no—
725C2×C4×C79C22×D412yes—
726C2×C4×C79C22×D412yes—
727C22⋊D79—44no—
728C22⋊D79—44no—
729C22⋊D79—44no—
730C22⋊D79—44no—
731C22⋊D79—82no—
732C22⋊D79—82no—
733C22⋊D79—82no—
734C22⋊D79—82no—
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—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—44no—
773C2×Dic79—82no—
774C2×Dic79—82no—
775C2×Dic79C22×D412yes—
776C2×Dic79C22×D412yes—
777D316—44no—
778C4×D79—44no—
779C4×D79—44no—
780C4×D79—44no—
781C4×D79—44no—
782C4×D79—44no—
783C4×D79—44no—
784C4×D79—44no—
785C4×D79—82no—
786C4×D79—82no—
787Dic158—82no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—22no—
792C22×C79—22no—
793C22×C79—22no—
794C22×C79—41no—
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—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79C23×D411yescharacteristic
817C22×C79C2×H(5,𝔽2)11yescharacteristic
818C22×C79C2×H(5,𝔽2)11yescharacteristic
819C22×C79C2×H(5,𝔽2)11yescharacteristic
820C22×C79C2×2−1+411yescharacteristic
821C22×C79#58511yescharacteristic
822C22×C79#58511yescharacteristic
823C2×D79—22no—
824C2×D79—22no—
825C2×D79—22no—
826C2×D79—22no—
827C2×D79—22no—
828C2×D79—22no—
829C2×D79—22no—
830C2×D79—22no—
831C2×D79—22no—
832C2×D79—22no—
833C2×D79—22no—
834C2×D79—22no—
835C2×D79—416no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—41no—
844C2×D79—88no—
845C2×D79#53714yes—
846C4×C79—22no—
847C4×C79—22no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857Dic79—22no—
858Dic79—22no—
859Dic79—41no—
860Dic79—41no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868Dic79—41no—
869Dic79—41no—
870#36709—791nomaximal, Sylow
871C2×C79—42no—
872C2×C79—42no—
873C2×C79—81no—
874C2×C79—81no—
875C2×C79C2×#53711yescharacteristic
876C2×C79#348411yescharacteristic
877C2×C79#348511yescharacteristic
878C2×C79#353411yescharacteristic
879C2×C79#353411yescharacteristic
880C2×C79#353511yescharacteristic
881C2×C79#353511yescharacteristic
882D79—24no—
883D79—42no—
884D79—42no—
885C2×#538—791no—
886C22×#123—791no—
887#2848—791no—
888#2847—791no—
889#2695—791no—
890#2695—791no—
891#2695—791no—
892#2695—791no—
893#2693—791no—
894#2693—791no—
895#2693—791no—
896#2693—791no—
897#2672—791no—
898#2672—791no—
899#2672—791no—
900#2672—791no—
901#2671—791no—
902#2671—791no—
903#2671—791no—
904#2671D7911yescharacteristic, complemented
905#2627—791no—
906#2618—791no—
907#2534—791no—
908#2534—791no—
909#2487—791no—
910#2487—791no—
911#2412—791no—
912#2412—791no—
913#2410—791no—
914#2410—791no—
915#2315—791no—
916C79#3670911yescharacteristic, complemented, Sylow
917C23×D4—791no—
918C24×C4—791no—
919#538—1588no—
920C2×#126—791no—
921C2×#126—791no—
922C2×#124—791no—
923C2×#124—791no—
924C2×#123—791no—
925C2×#123—791no—
926C2×#123—791no—
927C2×#123—791no—
928C2×#123—791no—
929C2×#123—791no—
930C2×#123—791no—
931C2×#123—791no—
932C2×#123—791no—
933C2×#123—791no—
934C2×#123—791no—
935C2×#123—1588no—
936C2×#123C2×D7911yescharacteristic
937C2×C22⋊Q8—791no—
938C2×C22⋊Q8—791no—
939C2×C22⋊Q8—791no—
940C2×#121—791no—
941C2×#121—791no—
942C2×#121—791no—
943C2×#121—791no—
944C2×#121—791no—
945C2×#121—791no—
946C2×#121C2×D7911yescharacteristic
947C2×#121C2×D7911yescharacteristic, complemented
948C2×#121C2×D7911yescharacteristic, complemented
949C2×#120—791no—
950C2×#120—791no—
951C2×#120—791no—
952C2×#120—791no—
953C2×C4×D4—791no—
954C2×C4×D4—791no—
955C22×C4⋊C4—791no—
956C22×C4⋊C4—791no—
957C22×C22⋊C4—791no—
958C22×C22⋊C4—791no—
959C22×C22⋊C4—791no—
960C22×C22⋊C4—791no—
961C22×C22⋊C4—791no—
962#400—791no—
963#400—791no—
964#400—791no—
965#400—791no—
966#400—791no—
967#400—791no—
968#399—791no—
969#399—791no—
970#399—791no—
971#399C2×D7911yescharacteristic, complemented
972#398—791no—
973#398—791no—
974#398—791no—
975#398—791no—
976#398—791no—
977#398C2×D7911yescharacteristic, complemented
978#397—791no—
979#397—791no—
980#397—791no—
981#397—791no—
982#396—791no—
983#396—791no—
984#396—791no—
985#396—791no—
986#396—791no—
987#396—791no—
988#396—791no—
989#396—791no—
990#395—791no—
991#395—791no—
992#394—791no—
993#394—791no—
994#394—791no—
995#394—791no—
996#394—791no—
997#394—791no—
998#394—791no—
999#394—791no—
1000#394—791no—
1001#394—791no—
1002#394—791no—
1003#394C2×D7911yescharacteristic, complemented
1004#394C2×D7911yescharacteristic, complemented
1005#394C2×D7911yescharacteristic, complemented
1006#392—791no—
1007#392—791no—
1008#392—791no—
1009#392C2×D7911yescharacteristic
1010#389—791no—
1011#389—791no—
1012#389—791no—
1013#389—791no—
1014#388—791no—
1015#388—791no—
1016#388—791no—
1017#388—791no—
1018#386—791no—
1019#386—791no—
1020#386—791no—
1021#386—791no—
1022#386—791no—
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#386—791no—
1027#386—791no—
1028#386—791no—
1029#386—791no—
1030#386—791no—
1031#386—791no—
1032#386—791no—
1033#386—791no—
1034#386—791no—
1035#386—791no—
1036#386C2×D7911yescharacteristic, complemented
1037#386C2×D7911yescharacteristic, complemented
1038#385—791no—
1039#385—791no—
1040#385—791no—
1041#385—791no—
1042#385—791no—
1043#385—791no—
1044#385—791no—
1045#385—791no—
1046#385—791no—
1047#385—791no—
1048#385—791no—
1049#385—791no—
1050#385—791no—
1051#385—791no—
1052#385C2×D7911yescharacteristic, complemented
1053#385C2×D7911yescharacteristic, complemented
1054#381—791no—
1055#381—791no—
1056#380—791no—
1057#380—791no—
1058#380—791no—
1059#380—791no—
1060#380—791no—
1061#380—791no—
1062#380—791no—
1063#380—791no—
1064#380—791no—
1065#380—791no—
1066#380—791no—
1067#380—791no—
1068#380—791no—
1069#380—791no—
1070#380—791no—
1071#380C2×D7911yescharacteristic, complemented
1072#379—791no—
1073#379—791no—
1074C25—791no—
1075C25—791no—
1076C22×Q8—791no—
1077C22×D4—3162no—
1078C22×D4—3162no—
1079C22×D4—791no—
1080C22×D4—791no—
1081C22×D4—791no—
1082C22×D4—791no—
1083C22×D4—791no—
1084C22×D4—791no—
1085C22×D4—791no—
1086C22×D4—791no—
1087C22×D4—791no—
1088C22×D4—1584no—
1089C22×D4C22×D7911yescharacteristic
1090C22×D4C22×D7911yescharacteristic
1091C22×D4C22×D7911yescharacteristic
1092C22×D4C22×D7911yescharacteristic
1093C22×D4C22×D7911yescharacteristic
1094C22×D4C22×D7911yescharacteristic
1095C23×C4—3162no—
1096C23×C4—3162no—
1097C23×C4—791no—
1098C23×C4—791no—
1099C23×C4—791no—
1100C23×C4—791no—
1101C23×C4—791no—
1102C23×C4—791no—
1103C23×C4—791no—
1104C23×C4—791no—
1105C23×C4—791no—
1106C23×C4—791no—
1107C23×C4—791no—
1108C23×C4—791no—
1109C23×C4—1584no—
1110C23×C4C22×D7911yescharacteristic
1111C23×C4C22×D7911yescharacteristic
1112C23×C4C22×D7911yescharacteristic
1113#126—1584no—
1114#126—1584no—
1115#124—1584no—
1116#124—1584no—
1117#123—24no—
1118#123—3162no—
1119#123—3162no—
1120#123—1584no—
1121#123—1584no—
1122#123—1584no—
1123#123—1584no—
1124#123—1584no—
1125#123—1584no—
1126#123—1584no—
1127#123—1584no—
1128#123—1584no—
1129C22⋊Q8—3162no—
1130C22⋊Q8—3162no—
1131C22⋊Q8—1584no—
1132#121—24no—
1133#121—42no—
1134#121—42no—
1135#121—3162no—
1136#121—3162no—
1137#121—3162no—
1138#121—3162no—
1139#121—1584no—
1140#121—1584no—
1141#120—3162no—
1142#120—3162no—
1143#120—1584no—
1144#120—1584no—
1145C4×D4—1584no—
1146C4×D4—1584no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4—791no—
1159C2×C4⋊C4—791no—
1160C2×C4⋊C4—791no—
1161C2×C4⋊C4—791no—
1162C2×C4⋊C4—791no—
1163C2×C4⋊C4—791no—
1164C2×C4⋊C4—791no—
1165C2×C4⋊C4—791no—
1166C2×C4⋊C4—791no—
1167C2×C4⋊C4—791no—
1168C2×C4⋊C4—791no—
1169C2×C4⋊C4—791no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—791no—
1173C2×C4⋊C4—791no—
1174C2×C4⋊C4—1584no—
1175C2×C4⋊C4—1584no—
1176C2×C4⋊C4C22×D7911yescharacteristic
1177C2×C4⋊C4C22×D7911yescharacteristic
1178C2×C4⋊C4C22×D7911yescharacteristic
1179C2×C4⋊C4C22×D7911yescharacteristic
1180C2×C4⋊C4C22×D7911yescharacteristic
1181C2×C4⋊C4C22×D7911yescharacteristic
1182C2×C4⋊C4C22×D7911yescharacteristic
1183C2×C22⋊C4—3162no—
1184C2×C22⋊C4—3162no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—798no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—791no—
1221C2×C22⋊C4—791no—
1222C2×C22⋊C4—791no—
1223C2×C22⋊C4—791no—
1224C2×C22⋊C4—791no—
1225C2×C22⋊C4—791no—
1226C2×C22⋊C4—791no—
1227C2×C22⋊C4—1584no—
1228C2×C22⋊C4—1584no—
1229C2×C22⋊C4C22×D7911yescharacteristic
1230C2×C22⋊C4C22×D7911yescharacteristic
1231C2×C22⋊C4C22×D7911yescharacteristic
1232C2×C22⋊C4C22×D7911yescharacteristic
1233C2×C22⋊C4C22×D7911yescharacteristic
1234C2×C22⋊C4C22×D7911yescharacteristic
1235C2×C22⋊C4C22×D7911yescharacteristic
1236C2×C22⋊C4C22×D7911yescharacteristic
1237C2×C22⋊C4C22×D7911yescharacteristic
1238C2×C22⋊C4C22×D7911yescharacteristic
1239C2×C22⋊C4C22×D7911yescharacteristic
1240C2×C22⋊C4C22×D7911yescharacteristic
1241C2×C22⋊C4C22×D7911yescharacteristic
1242C2×C42—791no—
1243C2×C42—791no—
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95—791no—
1263#95—791no—
1264#95—791no—
1265#95—791no—
1266#95—791no—
1267#95—791no—
1268#95—791no—
1269#95—791no—
1270#95C22×D7911yescharacteristic
1271#95C22×D7911yescharacteristic
1272#95C22×D7911yescharacteristic
1273#95C22×D7911yescharacteristic
1274#95C22×D7911yescharacteristic
1275#95C22×D7911yescharacteristic
1276C24—3161no—
1277C24—3161no—
1278C24—3161no—
1279C24—3161no—
1280C24—3161no—
1281C24—3161no—
1282C24—794no—
1283C24—791no—
1284C24—791no—
1285C24—791no—
1286C24—1582no—
1287C24—1582no—
1288C24—1582no—
1289C24—1582no—
1290C24—1582no—
1291C24—1582no—
1292C24—1582no—
1293C24C23×D7911yescharacteristic
1294C24C23×D7911yescharacteristic
1295C24C23×D7911yescharacteristic
1296C24C23×D7911yescharacteristic
1297C2×Q8—3161no—
1298C2×Q8—3161no—
1299C2×Q8—1582no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—41no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—3161no—
1319C2×D4—31616no—
1320C2×D4—3161no—
1321C2×D4—3161no—
1322C2×D4—3161no—
1323C2×D4—3161no—
1324C2×D4—3161no—
1325C2×D4—3161no—
1326C2×D4—3161no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—3161no—
1330C2×D4—1582no—
1331C2×D4—1582no—
1332C2×D4—1582no—
1333C2×D4—1582no—
1334C2×D4—1582no—
1335C2×D4—1582no—
1336C2×D4—1582no—
1337C2×D4—1582no—
1338C2×D4—1582no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1582no—
1342C2×D4—1582no—
1343C2×D4—1582no—
1344C2×D4—1582no—
1345C2×D4—1582no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—3161no—
1356C22×C4—3161no—
1357C22×C4—3161no—
1358C22×C4—3161no—
1359C22×C4—3161no—
1360C22×C4—3161no—
1361C22×C4—3161no—
1362C22×C4—3161no—
1363C22×C4—3161no—
1364C22×C4—3161no—
1365C22×C4—3161no—
1366C22×C4—3161no—
1367C22×C4—3161no—
1368C22×C4—3161no—
1369C22×C4—3161no—
1370C22×C4—3161no—
1371C22×C4—31616no—
1372C22×C4—3161no—
1373C22×C4—3161no—
1374C22×C4—3161no—
1375C22×C4—3161no—
1376C22×C4—3161no—
1377C22×C4—3161no—
1378C22×C4—794no—
1379C22×C4—794no—
1380C22×C4—791no—
1381C22×C4—791no—
1382C22×C4—791no—
1383C22×C4—791no—
1384C22×C4—791no—
1385C22×C4—791no—
1386C22×C4—791no—
1387C22×C4—791no—
1388C22×C4—791no—
1389C22×C4—791no—
1390C22×C4—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—1582no—
1394C22×C4—1582no—
1395C22×C4—1582no—
1396C22×C4—1582no—
1397C22×C4—1582no—
1398C22×C4—1582no—
1399C22×C4—1582no—
1400C22×C4—1582no—
1401C22×C4—1582no—
1402C22×C4—1582no—
1403C22×C4—1582no—
1404C22×C4—1582no—
1405C22×C4C23×D7911yescharacteristic
1406C22×C4C23×D7911yescharacteristic
1407C22×C4C23×D7911yescharacteristic
1408C22×C4C23×D7911yescharacteristic
1409C22×C4C23×D7911yescharacteristic
1410C22×C4C23×D7911yescharacteristic
1411C22×C4C23×D7911yescharacteristic
1412C22×C4C23×D7911yescharacteristic
1413C22×C4C23×D7911yescharacteristic
1414C22×C4C23×D7911yescharacteristic
1415C22×C4C23×D7911yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—3161no—
1424C4⋊C4—3161no—
1425C4⋊C4—3161no—
1426C4⋊C4—3161no—
1427C4⋊C4—3161no—
1428C4⋊C4—3161no—
1429C4⋊C4—3161no—
1430C4⋊C4—3161no—
1431C4⋊C4—3161no—
1432C4⋊C4—3161no—
1433C4⋊C4—3161no—
1434C4⋊C4—3161no—
1435C4⋊C4—3161no—
1436C4⋊C4—3161no—
1437C4⋊C4—3161no—
1438C4⋊C4—3161no—
1439C4⋊C4—1582no—
1440C4⋊C4—1582no—
1441C4⋊C4—1582no—
1442C4⋊C4—1582no—
1443C4⋊C4—1582no—
1444C4⋊C4—1582no—
1445C4⋊C4—1582no—
1446C4⋊C4—1582no—
1447C4⋊C4—1582no—
1448C4⋊C4—1582no—
1449C4⋊C4—1582no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—22no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—3161no—
1473C22⋊C4—3161no—
1474C22⋊C4—3161no—
1475C22⋊C4—3161no—
1476C22⋊C4—3161no—
1477C22⋊C4—3161no—
1478C22⋊C4—794no—
1479C22⋊C4—794no—
1480C22⋊C4—794no—
1481C22⋊C4—1582no—
1482C22⋊C4—1582no—
1483C22⋊C4—1582no—
1484C22⋊C4—1582no—
1485C22⋊C4—1582no—
1486C22⋊C4—1582no—
1487C22⋊C4—1582no—
1488C22⋊C4—1582no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C22⋊C4—1582no—
1499C22⋊C4—1582no—
1500C22⋊C4—1582no—
1501C22⋊C4—1582no—
1502C22⋊C4—1582no—
1503C22⋊C4D4×D7914yes—
1504C42—1582no—
1505C42—1582no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—3164no—
1533C23—3164no—
1534C23—3164no—
1535C23—3164no—
1536C23—3164no—
1537C23—3164no—
1538C23—3164no—
1539C23—3164no—
1540C23—792no—
1541C23—792no—
1542C23—792no—
1543C23—792no—
1544C23—792no—
1545C23—6322no—
1546C23—6322no—
1547C23—6322no—
1548C23—6322no—
1549C23—1588no—
1550C23—1588no—
1551C23—1581no—
1552C23—1581no—
1553C23—1581no—
1554C23—1581no—
1555C23—1581no—
1556C23—1581no—
1557C23—1581no—
1558C23—1581no—
1559C23—1581no—
1560C23—1581no—
1561C23—1581no—
1562C23—1581no—
1563C23—1581no—
1564C23—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23C2×D4×D7912yes—
1568C23#1457920612yes—
1569C23C24×D7911yescharacteristic
1570Q8—6322no—
1571D4—44no—
1572D4—82no—
1573D4—82no—
1574D4—82no—
1575D4—82no—
1576D4—82no—
1577D4—3164no—
1578D4—3164no—
1579D4—3164no—
1580D4—3164no—
1581D4—3164no—
1582D4—6322no—
1583D4—6322no—
1584D4—6322no—
1585D4—6322no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—44no—
1618C2×C4—82no—
1619C2×C4—82no—
1620C2×C4—3164no—
1621C2×C4—3164no—
1622C2×C4—3164no—
1623C2×C4—3164no—
1624C2×C4—3164no—
1625C2×C4—3164no—
1626C2×C4—3164no—
1627C2×C4—3164no—
1628C2×C4—792no—
1629C2×C4—792no—
1630C2×C4—6322no—
1631C2×C4—6322no—
1632C2×C4—6322no—
1633C2×C4—6322no—
1634C2×C4—1581no—
1635C2×C4—1581no—
1636C2×C4—1581no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4—1581no—
1640C2×C4—1581no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4—1581no—
1655C2×C4—1581no—
1656C2×C4—1581no—
1657C2×C4—1581no—
1658C2×C4—1581no—
1659C2×C4—1581no—
1660C2×C4—1581no—
1661C2×C4—1581no—
1662C2×C4—1581no—
1663C2×C4—1581no—
1664C2×C4—1581no—
1665C2×C4—1581no—
1666C2×C4—1581no—
1667C2×C4—1581no—
1668C2×C4—1581no—
1669C2×C4—1581no—
1670C2×C4—1581no—
1671C2×C4C2×D4×D7912yes—
1672C2×C4C2×D4×D7912yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—31616no—
1702C22—3161no—
1703C22—3161no—
1704C22—3161no—
1705C22—3161no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—794no—
1711C22—6328no—
1712C22—1582no—
1713C22—1582no—
1714C22—1582no—
1715C22—1582no—
1716C22—1582no—
1717C22—1582no—
1718C22—1582no—
1719C22—1582no—
1720C22—1582no—
1721C22—1582no—
1722C22—1582no—
1723C22—1582no—
1724C22C22×D4×D7911yescharacteristic
1725C22H(5,𝔽2)×D7911yescharacteristic
1726C22H(5,𝔽2)×D7911yescharacteristic
1727C22C2×#1457920611yescharacteristic
1728C222−1+4×D7911yescharacteristic
1729C22#1909939811yescharacteristic
1730C22#1909939911yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—3161no—
1743C4—3161no—
1744C4—3161no—
1745C4—3161no—
1746C4—3161no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—3161no—
1753C4—1582no—
1754C4—1582no—
1755C2—42no—
1756C2—42no—
1757C2—81no—
1758C2—81no—
1759C2—3162no—
1760C2—3162no—
1761C2—1584no—
1762C2#537×D7911yescharacteristic
1763C2#2377702811yescharacteristic
1764C2#2377703711yescharacteristic
1765C2#2377758011yescharacteristic
1766C2#2377758311yescharacteristic
1767C2#2377760011yescharacteristic
1768C2#2377760111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2671C2
hypercenter#2671D79
hypocenterC79#36709
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C2×#19099145C2semidirect
2. C2×#123×D79C2semidirect
3. #23771686C2semidirect
4. #23771679C2semidirect
5. #23769941C2semidirect
6. #23769939C2semidirect
7. #23769933C2semidirect
8. #23769931C2semidirect
9. #23769911C2semidirect
10. #23769909C2semidirect
11. #23769908C2semidirect
12. #23769906C2semidirect
13. #23769657C2semidirect
14. #23769656C2semidirect
15. #23769645C2semidirect
16. #23769644C2semidirect
17. #23769635C2semidirect
18. #23769632C2semidirect
19. #23769631C2semidirect
20. #23769218C2semidirect
21. #23769141C2semidirect
22. #23768288C2semidirect
23. #23768285C2semidirect
24. #23767713C2semidirect
25. #23767710C2semidirect
26. #23766795C2semidirect
27. #23766791C2semidirect
28. #23766771C2semidirect
29. #23766767C2semidirect
30. #23766011C2semidirect
31. C79×#2671C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579154C22semidirect
37. C2×#14579148C22semidirect
38. C2×#14579147C22semidirect
43. C2×#14579144C22semidirect
49. C2×#14579142C22semidirect
52. C2×#14579139C22semidirect
53. C2×#14579138C22semidirect
56. C2×#14579133C22semidirect
59. C2×#14579132C22semidirect
73. #19098505C22semidirect
74. #19098504C22semidirect
75. #19098504C22semidirect
76. #19098504C22semidirect
77. #19098503C22semidirect
78. #19098501C22semidirect
79. #19098499C22semidirect
80. #19098499C22semidirect
81. #19098499C22semidirect
82. #19098496C22semidirect
83. #19098496C22semidirect
84. #19098495C22semidirect
85. #19098493C22semidirect
86. #19098493C22semidirect
87. #19098492C22semidirect
88. #19098491C22semidirect
89. #19098490C22semidirect
90. #19098488C22semidirect
91. #19098487C22semidirect
92. #19098486C22semidirect
93. #19098486C22semidirect
94. #19098486C22semidirect
95. #19098486C22semidirect
96. #19098486C22semidirect
97. #19098486C22semidirect
98. #19098485C22semidirect
99. #19098484C22semidirect
100. #19098483C22semidirect
103. #19098479C22semidirect
104. #19098479C22semidirect
106. #19098478C22semidirect
107. #19098478C22semidirect
109. #19098477C22semidirect
110. #19098477C22semidirect
111. #19098477C22semidirect
115. #19098462C22semidirect
116. #19098459C22semidirect
117. #19098458C22semidirect
118. #19098458C22semidirect
119. #19098456C22semidirect
120. #19098455C22semidirect
121. #19098452C22semidirect
122. #19098451C22semidirect
124. #19098443C22semidirect
125. #19098443C22semidirect
126. #19098443C22semidirect
127. #19098443C22semidirect
129. #19098442C22semidirect
131. #19098440C22semidirect
137. #19098439C22semidirect
138. #19098439C22semidirect
139. #19098439C22semidirect
140. #19098439C22semidirect
141. #19098438C22semidirect
144. #19098437C22semidirect
145. #19098437C22semidirect
146. #19098437C22semidirect
147. #19098436C22semidirect
148. #19098436C22semidirect
149. #19098435C22semidirect
152. #19098434C22semidirect
153. #19098434C22semidirect
154. #19098434C22semidirect
157. #19098423C22semidirect
158. #19098423C22semidirect
159. #19098423C22semidirect
162. #19098422C22semidirect
163. #19098422C22semidirect
164. #19098421C22semidirect
165. #19098421C22semidirect
166. #19098421C22semidirect
167. #19098421C22semidirect
170. #19098420C22semidirect
171. #19098420C22semidirect
176. C2×#121×C79C22semidirect
177. C2×#121×C79C22semidirect
178. #399×C79C22semidirect
179. #398×C79C22semidirect
180. #394×C79C22semidirect
181. #394×C79C22semidirect
182. #394×C79C22semidirect
184. #386×C79C22semidirect
185. #386×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. #380×C79C22semidirect
323. C22⋊C4×D79D4semidirect
904. #2671D79semidirect
916. C79#36709semidirect
947. C2×#121C2×D79semidirect
948. C2×#121C2×D79semidirect
971. #399C2×D79semidirect
977. #398C2×D79semidirect
1003. #394C2×D79semidirect
1004. #394C2×D79semidirect
1005. #394C2×D79semidirect
1036. #386C2×D79semidirect
1037. #386C2×D79semidirect
1052. #385C2×D79semidirect
1053. #385C2×D79semidirect
1071. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991452
C2×#123×D792
#237716862
#237716792
#237699412
#237699392
#237699332
#237699312
#237699112
#237699092
#237699082
#237699062
#237696572
#237696562
#237696452
#237696442
#237696352
#237696322
#237696312
#237692182
#237691412
#237682882
#237682852
#237677132
#237677102
#237667952
#237667912
#237667712
#237667672
#237660112
C79×#26712
#3670979