Finite Group Databasebeta

← #34502060

Subgroups — #34502060

Order 20224.

2502 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099124C211yesmaximal, characteristic
2C2×#126×D79C211yesmaximal, characteristic, complemented
3#23771733C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770255C211yesmaximal, characteristic, complemented
6#23770254C211yesmaximal, characteristic, complemented
7#23770251C211yesmaximal, characteristic, complemented
8#23770250C211yesmaximal, characteristic, complemented
9#23770249C211yesmaximal, characteristic, complemented
10#23770246C211yesmaximal, characteristic, complemented
11#23770245C211yesmaximal, characteristic, complemented
12#23769798C211yesmaximal, characteristic, complemented
13#23769797C211yesmaximal, characteristic, complemented
14#23769794C211yesmaximal, characteristic, complemented
15#23769793C211yesmaximal, characteristic, complemented
16#23769789C211yesmaximal, characteristic, complemented
17#23769788C211yesmaximal, characteristic, complemented
18#23769785C211yesmaximal, characteristic, complemented
19#23769784C211yesmaximal, characteristic, complemented
20#23769147C211yesmaximal, characteristic, complemented
21#23769143C211yesmaximal, characteristic, complemented
22#23768878C211yesmaximal, characteristic, complemented
23#23768876C211yesmaximal, characteristic, complemented
24#23767868C211yesmaximal, characteristic, complemented
25#23767866C211yesmaximal, characteristic, complemented
26#23766729C211yesmaximal, characteristic, complemented
27#23766729C211yesmaximal, characteristic, complemented
28#23766722C211yesmaximal, characteristic, complemented
29#23766722C211yesmaximal, characteristic, complemented
30#23765994C211yesmaximal, characteristic, complemented
31C79×#2718C211yesmaximal, characteristic, complemented
32C23×D316C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099124—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic, complemented
38C2×#14579155C2211yescharacteristic, complemented
39C2×#14579154C2211yescharacteristic, complemented
40C2×#14579154C2211yescharacteristic, complemented
41C2×#14579154C2211yescharacteristic, complemented
42#126×D79—28no—
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic, complemented
46C2×#14579146C2211yescharacteristic, complemented
47C2×#14579146C2211yescharacteristic, complemented
48C2×#14579146C2211yescharacteristic, complemented
49C2×#14579146C2211yescharacteristic, complemented
50C2×#14579146C2211yescharacteristic, complemented
51C2×#14579144C2211yescharacteristic
52C2×#14579143C2211yescharacteristic, complemented
53C2×#14579143C2211yescharacteristic, complemented
54C2×#14579136C2211yescharacteristic
55C2×#14579136C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579131C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579129C2211yescharacteristic
62C2×C4⋊C4×D79C2211yescharacteristic, complemented
63C2×C4⋊C4×D79C2211yescharacteristic, complemented
64C2×C4⋊C4×D79C2211yescharacteristic, complemented
65C2×C22⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C42×D79C2211yescharacteristic, complemented
69#19098505C2211yescharacteristic, complemented
70#19098504C2211yescharacteristic, complemented
71#19098501C2211yescharacteristic, complemented
72#19098500C2211yescharacteristic, complemented
73#19098499C2211yescharacteristic, complemented
74#19098498C2211yescharacteristic, complemented
75#19098498C2211yescharacteristic, complemented
76#19098498C2211yescharacteristic, complemented
77#19098498C2211yescharacteristic, complemented
78#19098498C2211yescharacteristic, complemented
79#19098497C2211yescharacteristic, complemented
80#19098496C2211yescharacteristic, complemented
81#19098494C2211yescharacteristic, complemented
82#19098487C2211yescharacteristic, complemented
83#19098487C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098485C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098481C2211yescharacteristic
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic
92#19098481C2211yescharacteristic
93#19098481C2211yescharacteristic, complemented
94#19098481C2211yescharacteristic, complemented
95#19098480C2211yescharacteristic
96#19098480C2211yescharacteristic
97#19098480C2211yescharacteristic
98#19098480C2211yescharacteristic
99#19098480C2211yescharacteristic, complemented
100#19098480C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic
102#19098479C2211yescharacteristic
103#19098479C2211yescharacteristic, complemented
104#19098479C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic
106#19098478C2211yescharacteristic
107#19098478C2211yescharacteristic, complemented
108#19098478C2211yescharacteristic, complemented
109#19098477C2211yescharacteristic
110#19098477C2211yescharacteristic
111#19098465C2211yescharacteristic, complemented
112#19098465C2211yescharacteristic, complemented
113#19098464C2211yescharacteristic, complemented
114#19098464C2211yescharacteristic, complemented
115#19098463C2211yescharacteristic, complemented
116#19098463C2211yescharacteristic, complemented
117#19098463C2211yescharacteristic, complemented
118#19098463C2211yescharacteristic, complemented
119#19098460C2211yescharacteristic, complemented
120#19098459C2211yescharacteristic, complemented
121#19098458C2211yescharacteristic, complemented
122#19098457C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic, complemented
124#19098456C2211yescharacteristic, complemented
125#19098455C2211yescharacteristic, complemented
126#19098455C2211yescharacteristic, complemented
127#19098455C2211yescharacteristic, complemented
128#19098455C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098454C2211yescharacteristic, complemented
131#19098454C2211yescharacteristic, complemented
132#19098453C2211yescharacteristic, complemented
133#19098453C2211yescharacteristic, complemented
134#19098453C2211yescharacteristic, complemented
135#19098453C2211yescharacteristic, complemented
136#19098452C2211yescharacteristic, complemented
137#19098452C2211yescharacteristic, complemented
138#19098452C2211yescharacteristic, complemented
139#19098452C2211yescharacteristic, complemented
140#19098452C2211yescharacteristic, complemented
141#19098451C2211yescharacteristic, complemented
142#19098451C2211yescharacteristic, complemented
143#19098441C2211yescharacteristic, complemented
144#19098441C2211yescharacteristic, complemented
145#19098441C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic, complemented
147#19098441C2211yescharacteristic, complemented
148#19098441C2211yescharacteristic, complemented
149#19098439C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic, complemented
151#19098437C2211yescharacteristic, complemented
152#19098437C2211yescharacteristic, complemented
153#19098436C2211yescharacteristic, complemented
154#19098436C2211yescharacteristic, complemented
155#19098434C2211yescharacteristic, complemented
156#19098434C2211yescharacteristic, complemented
157#19098432C2211yescharacteristic, complemented
158#19098432C2211yescharacteristic, complemented
159#19098432C2211yescharacteristic, complemented
160#19098422C2211yescharacteristic, complemented
161#19098420C2211yescharacteristic, complemented
162#19098418C2211yescharacteristic
163#19098418C2211yescharacteristic
164#19098418C2211yescharacteristic, complemented
165#19098418C2211yescharacteristic, complemented
166#19098418C2211yescharacteristic, complemented
167#19098418C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
173#19098410C2211yescharacteristic, complemented
174C2×#126×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#399×C79C2211yescharacteristic, complemented
178#398×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#389×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#384×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C24×D79C2311yescharacteristic
192C22×D316—24no—
193C22×D316—42no—
194C22×D316—42no—
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C2×D4×D79—24no—
207C2×D4×D79—42no—
208C2×D4×D79—42no—
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216#14579156—24no—
217#14579156—24no—
218#14579156—24no—
219#14579155—24no—
220#14579154—24no—
221#14579154—24no—
222#14579154—24no—
223#14579146—24no—
224#14579146—24no—
225#14579146—42no—
226#14579146—42no—
227#14579146—42no—
228#14579146—42no—
229#14579146—42no—
230#14579146—42no—
231#14579144—24no—
232#14579143—42no—
233#14579143—42no—
234#14579136—24no—
235#14579136—24no—
236#14579134—24no—
237#14579134—24no—
238#14579131—24no—
239#14579131—24no—
240#14579131—24no—
241#14579129—24no—
242C2×C4⋊Dic79C2311yescharacteristic
243C2×C4⋊Dic79C2311yescharacteristic
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×Dic79⋊C4C2311yescharacteristic
249C2×Dic79⋊C4C2311yescharacteristic
250C2×Dic79⋊C4C2311yescharacteristic
251C2×Dic79⋊C4C2311yescharacteristic
252C2×Dic79⋊C4C2311yescharacteristic
253C2×Dic79⋊C4C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C4⋊C4×D79—24no—
267C4⋊C4×D79—24no—
268C4⋊C4×D79—24no—
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C22⋊C4×D79—24no—
323C22⋊C4×D79—24no—
324C22⋊C4×D79D418yes—
325C2×C4×Dic79C2311yescharacteristic
326C2×C4×Dic79C2311yescharacteristic
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C2×C4×Dic79C2311yescharacteristic
330C2×C4×Dic79C2311yescharacteristic
331C42×D79—24no—
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
348C22×D4×C79C2311yescharacteristic
349C23×C4×C79C2311yescharacteristic
350#126×C79—24no—
351#123×C79—24no—
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
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×C42×C79C2311yescharacteristic
376C2×C42×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—22no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79—41no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79C2×D414yes—
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C23×D79C2411yescharacteristic
410C23×D79C2411yescharacteristic
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—22no—
415C2×D316—22no—
416C2×D316—22no—
417C2×D316—22no—
418C2×D316—22no—
419C2×D316—22no—
420C2×D316—22no—
421C2×D316—22no—
422C2×D316—22no—
423C2×D316—22no—
424C2×D316—41no—
425C2×D316—41no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×D316—41no—
432C2×D316—416no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—22no—
436C2×C22⋊D79—22no—
437C2×C22⋊D79—22no—
438C2×C22⋊D79—22no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445D4×D79—416no—
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C2×C4×D79—22no—
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—22no—
461C2×C4×D79—22no—
462C2×C4×D79—22no—
463C2×C4×D79—22no—
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
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×D79C2×D414yes—
477C2×C4×D79C2×D414yes—
478C4⋊Dic79—22no—
479C4⋊Dic79—22no—
480C4⋊Dic79—22no—
481C4⋊Dic79—41no—
482C4⋊Dic79—41no—
483C4⋊Dic79—41no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—41no—
493Dic79⋊C4—41no—
494Dic79⋊C4—41no—
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—41no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509C22⋊Dic79—41no—
510C22⋊Dic79C2×D414yes—
511(C2×D79)⋊C4—22no—
512(C2×D79)⋊C4—22no—
513(C2×D79)⋊C4—22no—
514(C2×D79)⋊C4—22no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—41no—
526(C2×D79)⋊C4—41no—
527(C2×D79)⋊C4—41no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546(C2×D79)⋊C4—41no—
547(C2×D79)⋊C4—41no—
548(C2×D79)⋊C4—41no—
549(C2×D79)⋊C4—41no—
550(C2×D79)⋊C4—41no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553(C2×D79)⋊C4C2×D414yes—
554(C2×D79)⋊C4C2×D414yes—
555C4×Dic79—22no—
556C4×Dic79—22no—
557C4×Dic79—22no—
558C4×Dic79—41no—
559C4×Dic79—41no—
560C4×Dic79—41no—
561C24×C79C2411yescharacteristic
562C24×C79C2411yescharacteristic
563C2×D4×C79—22no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C22×C4×C79—22no—
567C22×C4×C79—41no—
568C22×C4×C79—41no—
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C4⋊C4×C79—22no—
583C4⋊C4×C79—22no—
584C4⋊C4×C79—22no—
585C4⋊C4×C79—22no—
586C4⋊C4×C79—22no—
587C4⋊C4×C79—41no—
588C4⋊C4×C79—41no—
589C4⋊C4×C79—41no—
590C4⋊C4×C79—41no—
591C4⋊C4×C79—41no—
592C4⋊C4×C79—41no—
593C4⋊C4×C79—41no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79C2×D414yes—
605C42×C79—22no—
606C42×C79—41no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
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×C79C22×D412yes—
621C23×C79C2511yescharacteristic
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—28no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79—44no—
658C22×D79—82no—
659C22×D79—82no—
660C22×D79—82no—
661C22×D79—82no—
662C22×D79—82no—
663C22×D79—82no—
664C22×D79—82no—
665C22×D79—82no—
666C22×D79—82no—
667C22×D79—82no—
668C22×D79—82no—
669C22×D79—82no—
670C22×D79—82no—
671C22×D79—82no—
672C22×D79—82no—
673C22×D79—82no—
674C22×D79C22×D412yes—
675C22×D79C22×D412yes—
676C22×D79H(5,𝔽2)12yes—
677C22×D79H(5,𝔽2)12yes—
678D4×C79—44no—
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—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—44no—
717C2×C4×C79C22×D412yes—
718C2×C4×C79C22×D412yes—
719C22⋊D79—44no—
720C22⋊D79—44no—
721C22⋊D79—82no—
722C22⋊D79—82no—
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—21no—
753C2×Dic79—21no—
754C2×Dic79C22×D412yes—
755C2×Dic79C22×D412yes—
756D316—44no—
757D316—44no—
758D316—44no—
759D316—44no—
760D316—44no—
761D316—82no—
762D316—82no—
763C4×D79—44no—
764C4×D79—44no—
765C4×D79—44no—
766C4×D79—44no—
767C4×D79—44no—
768C4×D79—44no—
769C4×D79—44no—
770C22×C79—22no—
771C22×C79—22no—
772C22×C79—22no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79C23×D411yescharacteristic
785C22×C79C2×H(5,𝔽2)11yescharacteristic
786C22×C79C2×H(5,𝔽2)11yescharacteristic
787C22×C79#58511yescharacteristic
788C22×C79#58511yescharacteristic
789C22×C79#58511yescharacteristic
790C22×C79#58511yescharacteristic
791C2×D79—22no—
792C2×D79—22no—
793C2×D79—22no—
794C2×D79—22no—
795C2×D79—22no—
796C2×D79—22no—
797C2×D79—22no—
798C2×D79—22no—
799C2×D79—22no—
800C2×D79—41no—
801C2×D79—41no—
802C2×D79—41no—
803C2×D79—41no—
804C2×D79—41no—
805C2×D79—41no—
806C2×D79—41no—
807C2×D79—41no—
808C2×D79—41no—
809C2×D79—41no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C2×D79—41no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—88no—
826C2×D79—88no—
827C2×D79—88no—
828C2×D79#53514yes—
829C4×C79—22no—
830C4×C79—22no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79—41no—
841C4×C79—41no—
842Dic79—22no—
843Dic79—22no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852Dic79—41no—
853#36969—791nomaximal, Sylow
854C2×C79—42no—
855C2×C79—81no—
856C2×C79C2×#53511yescharacteristic
857C2×C79#348511yescharacteristic
858C2×C79#348511yescharacteristic
859C2×C79#356011yescharacteristic
860C2×C79#356011yescharacteristic
861C2×C79#356011yescharacteristic
862C2×C79#356011yescharacteristic
863D79—24no—
864D79—42no—
865D79—81no—
866D79—81no—
867D79—81no—
868C2×#534—791no—
869C22×#126—791no—
870#2854—791no—
871#2854—791no—
872#2718—791no—
873#2718—791no—
874#2718—791no—
875#2718—791no—
876#2718—791no—
877#2718—791no—
878#2718—791no—
879#2718D7911yescharacteristic, complemented
880#2685—791no—
881#2685—791no—
882#2685—791no—
883#2685—791no—
884#2685—791no—
885#2685—791no—
886#2685—791no—
887#2685—791no—
888#2618—791no—
889#2618—791no—
890#2591—791no—
891#2591—791no—
892#2501—791no—
893#2501—791no—
894#2405—791no—
895#2405—791no—
896#2405—791no—
897#2405—791no—
898#2312—791no—
899C79#3696911yescharacteristic, complemented, Sylow
900C23×D4—791no—
901C23×D4—791no—
902#534—1588no—
903C2×#126—791no—
904C2×#126—791no—
905C2×#126—791no—
906C2×#126—791no—
907C2×#126—791no—
908C2×#126—791no—
909C2×#126—791no—
910C2×#126—1588no—
911C2×#126C2×D7911yescharacteristic, complemented
912C2×#123—791no—
913C2×#123—791no—
914C2×#123—791no—
915C2×#123—791no—
916C2×#123—791no—
917C2×#123—791no—
918C2×#123—791no—
919C2×#123—791no—
920C2×#123—791no—
921C2×#123—791no—
922C2×#123—791no—
923C2×#123C2×D7911yescharacteristic
924C2×#121—791no—
925C2×#121—791no—
926C2×#121—791no—
927C2×#121—791no—
928C2×#120—791no—
929C2×#120—791no—
930C2×#120—791no—
931C2×#120—791no—
932C22×C4⋊C4—791no—
933C22×C4⋊C4—791no—
934C22×C4⋊C4—791no—
935C22×C22⋊C4—791no—
936C22×C22⋊C4—791no—
937C22×C22⋊C4—791no—
938C22×C42—791no—
939#400—791no—
940#400—791no—
941#400—791no—
942#400C2×D7911yescharacteristic, complemented
943#399—791no—
944#399—791no—
945#399—791no—
946#399—791no—
947#399—791no—
948#399—791no—
949#399—791no—
950#399C2×D7911yescharacteristic, complemented
951#398—791no—
952#398—791no—
953#398—791no—
954#398C2×D7911yescharacteristic, complemented
955#396—791no—
956#396—791no—
957#396—791no—
958#396—791no—
959#396—791no—
960#396—791no—
961#396—791no—
962#396C2×D7911yescharacteristic, complemented
963#394—791no—
964#394—791no—
965#394—791no—
966#394—791no—
967#394—791no—
968#394—791no—
969#394—791no—
970#394—791no—
971#394—791no—
972#394—791no—
973#394—791no—
974#394—791no—
975#394—791no—
976#394—791no—
977#394—791no—
978#394—791no—
979#394—791no—
980#394—791no—
981#394—791no—
982#394—791no—
983#394—791no—
984#394—791no—
985#394C2×D7911yescharacteristic
986#394C2×D7911yescharacteristic
987#390—791no—
988#390—791no—
989#390—791no—
990#390—791no—
991#390—791no—
992#390—791no—
993#390—791no—
994#390—791no—
995#389—791no—
996#389—791no—
997#389—791no—
998#389C2×D7911yescharacteristic, complemented
999#388—791no—
1000#388—791no—
1001#388—791no—
1002#388—791no—
1003#388—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388—791no—
1012#388—791no—
1013#388—791no—
1014#388—791no—
1015#388—791no—
1016#388—791no—
1017#388—791no—
1018#388—791no—
1019#388—791no—
1020#388C2×D7911yescharacteristic, complemented
1021#388C2×D7911yescharacteristic, complemented
1022#388C2×D7911yescharacteristic, complemented
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#385—791no—
1032#385—791no—
1033#385—791no—
1034#385—791no—
1035#385—791no—
1036#385—791no—
1037#385C2×D7911yescharacteristic, complemented
1038#385C2×D7911yescharacteristic, complemented
1039#384—791no—
1040#384—791no—
1041#384—791no—
1042#384C2×D7911yescharacteristic, complemented
1043#380—791no—
1044#380—791no—
1045#379—791no—
1046#379—791no—
1047#379—791no—
1048#379—791no—
1049#379—791no—
1050#379—791no—
1051#379—791no—
1052#379—791no—
1053#379—791no—
1054#379—791no—
1055C4×C22⋊C4—791no—
1056C4×C22⋊C4—791no—
1057C25—791no—
1058C25—791no—
1059C25—791no—
1060C22×D4—3162no—
1061C22×D4—3162no—
1062C22×D4—3162no—
1063C22×D4—3162no—
1064C22×D4—791no—
1065C22×D4—791no—
1066C22×D4—791no—
1067C22×D4—791no—
1068C22×D4—791no—
1069C22×D4—791no—
1070C22×D4—791no—
1071C22×D4—791no—
1072C22×D4—791no—
1073C22×D4—791no—
1074C22×D4—791no—
1075C22×D4—1584no—
1076C22×D4—1584no—
1077C22×D4C22×D7911yescharacteristic
1078C23×C4—791no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—791no—
1084C23×C4—791no—
1085C23×C4C22×D7911yescharacteristic
1086#126—24no—
1087#126—1584no—
1088#126—1584no—
1089#126—1584no—
1090#126—1584no—
1091#126—1584no—
1092#126—1584no—
1093#126—1584no—
1094#123—24no—
1095#123—3162no—
1096#123—3162no—
1097#123—3162no—
1098#123—3162no—
1099#123—3162no—
1100#123—3162no—
1101#123—3162no—
1102#123—3162no—
1103#123—1584no—
1104#123—1584no—
1105#123—1584no—
1106#121—1584no—
1107#121—1584no—
1108#121—1584no—
1109#121—1584no—
1110#120—1584no—
1111#120—1584no—
1112#120—1584no—
1113#120—1584no—
1114C2×C4⋊C4—791no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
1120C2×C4⋊C4—791no—
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—1584no—
1139C2×C4⋊C4—1584no—
1140C2×C4⋊C4—1584no—
1141C2×C4⋊C4C22×D7911yescharacteristic
1142C2×C4⋊C4C22×D7911yescharacteristic
1143C2×C4⋊C4C22×D7911yescharacteristic
1144C2×C4⋊C4C22×D7911yescharacteristic
1145C2×C4⋊C4C22×D7911yescharacteristic
1146C2×C4⋊C4C22×D7911yescharacteristic
1147C2×C4⋊C4C22×D7911yescharacteristic
1148C2×C4⋊C4C22×D7911yescharacteristic
1149C2×C4⋊C4C22×D7911yescharacteristic
1150C2×C4⋊C4C22×D7911yescharacteristic
1151C2×C4⋊C4C22×D7911yescharacteristic
1152C2×C4⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
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—791no—
1190C2×C22⋊C4—798no—
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—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—1584no—
1208C2×C22⋊C4—1584no—
1209C2×C22⋊C4C22×D7911yescharacteristic
1210C2×C22⋊C4C22×D7911yescharacteristic
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C22⋊C4C22×D7911yescharacteristic
1215C2×C22⋊C4C22×D7911yescharacteristic
1216C2×C22⋊C4C22×D7911yescharacteristic
1217C2×C22⋊C4C22×D7911yescharacteristic
1218C2×C22⋊C4C22×D7911yescharacteristic
1219C2×C22⋊C4C22×D7911yescharacteristic
1220C2×C42—791no—
1221C2×C42—791no—
1222C2×C42—791no—
1223C2×C42—791no—
1224C2×C42—791no—
1225C2×C42—791no—
1226C2×C42—1584no—
1227C2×C42C22×D7911yescharacteristic
1228C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1246#95C22×D7911yescharacteristic
1247#95C22×D7911yescharacteristic
1248#95C22×D7911yescharacteristic
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252#95C22×D7911yescharacteristic
1253C24—3161no—
1254C24—3161no—
1255C24—3161no—
1256C24—3161no—
1257C24—3161no—
1258C24—3161no—
1259C24—3161no—
1260C24—3161no—
1261C24—3161no—
1262C24—3161no—
1263C24—3161no—
1264C24—3161no—
1265C24—3161no—
1266C24—3161no—
1267C24—3161no—
1268C24—3161no—
1269C24—794no—
1270C24—791no—
1271C24—791no—
1272C24—791no—
1273C24—791no—
1274C24—791no—
1275C24—1582no—
1276C24—1582no—
1277C24—1582no—
1278C24—1582no—
1279C24C23×D7911yescharacteristic
1280C24C23×D7911yescharacteristic
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—3161no—
1285C2×D4—3161no—
1286C2×D4—3161no—
1287C2×D4—3161no—
1288C2×D4—3161no—
1289C2×D4—3161no—
1290C2×D4—3161no—
1291C2×D4—3161no—
1292C2×D4—31616no—
1293C2×D4—31616no—
1294C2×D4—3161no—
1295C2×D4—3161no—
1296C2×D4—3161no—
1297C2×D4—3161no—
1298C2×D4—3161no—
1299C2×D4—3161no—
1300C2×D4—1582no—
1301C2×D4—1582no—
1302C2×D4—1582no—
1303C2×D4—1582no—
1304C2×D4—1582no—
1305C2×D4—1582no—
1306C2×D4—1582no—
1307C2×D4—1582no—
1308C2×D4—1582no—
1309C2×D4—1582no—
1310C2×D4—1582no—
1311C2×D4—1582no—
1312C2×D4—1582no—
1313C2×D4—1582no—
1314C2×D4—1582no—
1315C2×D4—1582no—
1316C2×D4—1582no—
1317C2×D4—1582no—
1318C2×D4—1582no—
1319C22×C4—22no—
1320C22×C4—41no—
1321C22×C4—41no—
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—794no—
1333C22×C4—794no—
1334C22×C4—791no—
1335C22×C4—791no—
1336C22×C4—791no—
1337C22×C4—791no—
1338C22×C4—791no—
1339C22×C4—791no—
1340C22×C4—791no—
1341C22×C4—791no—
1342C22×C4—791no—
1343C22×C4—791no—
1344C22×C4—791no—
1345C22×C4—1582no—
1346C22×C4—1582no—
1347C22×C4—1582no—
1348C22×C4—1582no—
1349C22×C4—1582no—
1350C22×C4—1582no—
1351C22×C4—1582no—
1352C22×C4—1582no—
1353C22×C4—1582no—
1354C22×C4C23×D7911yescharacteristic
1355C22×C4C23×D7911yescharacteristic
1356C22×C4C23×D7911yescharacteristic
1357C22×C4C23×D7911yescharacteristic
1358C22×C4C23×D7911yescharacteristic
1359C22×C4C23×D7911yescharacteristic
1360C22×C4C23×D7911yescharacteristic
1361C22×C4C23×D7911yescharacteristic
1362C22×C4C23×D7911yescharacteristic
1363C22×C4C23×D7911yescharacteristic
1364C22×C4C23×D7911yescharacteristic
1365C22×C4C23×D7911yescharacteristic
1366C22×C4C23×D7911yescharacteristic
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—41no—
1373C4⋊C4—41no—
1374C4⋊C4—41no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—41no—
1378C4⋊C4—41no—
1379C4⋊C4—3161no—
1380C4⋊C4—3161no—
1381C4⋊C4—3161no—
1382C4⋊C4—3161no—
1383C4⋊C4—3161no—
1384C4⋊C4—3161no—
1385C4⋊C4—3161no—
1386C4⋊C4—3161no—
1387C4⋊C4—3161no—
1388C4⋊C4—3161no—
1389C4⋊C4—3161no—
1390C4⋊C4—3161no—
1391C4⋊C4—3161no—
1392C4⋊C4—1582no—
1393C4⋊C4—1582no—
1394C4⋊C4—1582no—
1395C4⋊C4—1582no—
1396C4⋊C4—1582no—
1397C4⋊C4—1582no—
1398C4⋊C4—1582no—
1399C4⋊C4—1582no—
1400C4⋊C4—1582no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—3161no—
1414C22⋊C4—3161no—
1415C22⋊C4—3161no—
1416C22⋊C4—3161no—
1417C22⋊C4—3161no—
1418C22⋊C4—3161no—
1419C22⋊C4—3161no—
1420C22⋊C4—3161no—
1421C22⋊C4—3161no—
1422C22⋊C4—3161no—
1423C22⋊C4—3161no—
1424C22⋊C4—3161no—
1425C22⋊C4—3161no—
1426C22⋊C4—3161no—
1427C22⋊C4—3161no—
1428C22⋊C4—3161no—
1429C22⋊C4—3161no—
1430C22⋊C4—3161no—
1431C22⋊C4—3161no—
1432C22⋊C4—3161no—
1433C22⋊C4—3161no—
1434C22⋊C4—3161no—
1435C22⋊C4—3161no—
1436C22⋊C4—3161no—
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—3161no—
1447C22⋊C4—794no—
1448C22⋊C4—794no—
1449C22⋊C4—794no—
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⋊C4D4×D7914yes—
1467C42—22no—
1468C42—41no—
1469C42—3161no—
1470C42—3161no—
1471C42—3161no—
1472C42—1582no—
1473C42—1582no—
1474C42—1582no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—3164no—
1489C23—3164no—
1490C23—3164no—
1491C23—3164no—
1492C23—792no—
1493C23—792no—
1494C23—792no—
1495C23—792no—
1496C23—6322no—
1497C23—6322no—
1498C23—6322no—
1499C23—6322no—
1500C23—6322no—
1501C23—6322no—
1502C23—6322no—
1503C23—6322no—
1504C23—6322no—
1505C23—6322no—
1506C23—6322no—
1507C23—6322no—
1508C23—6322no—
1509C23—6322no—
1510C23—6322no—
1511C23—6322no—
1512C23—1588no—
1513C23—1581no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23—1581no—
1518C23—1581no—
1519C23—1581no—
1520C23—1581no—
1521C23—1581no—
1522C23—1581no—
1523C23—1581no—
1524C23—1581no—
1525C23—1581no—
1526C23—1581no—
1527C23—1581no—
1528C23—1581no—
1529C23—1581no—
1530C23—1581no—
1531C23—1581no—
1532C23—1581no—
1533C23—1581no—
1534C23—1581no—
1535C23—1581no—
1536C23—1581no—
1537C23—1581no—
1538C23—1581no—
1539C23—1581no—
1540C23—1581no—
1541C23—1581no—
1542C23—1581no—
1543C23—1581no—
1544C23C2×D4×D7912yes—
1545C23C24×D7911yescharacteristic
1546D4—44no—
1547D4—3164no—
1548D4—3164no—
1549D4—3164no—
1550D4—3164no—
1551D4—3164no—
1552D4—3164no—
1553D4—3164no—
1554D4—6322no—
1555D4—6322no—
1556D4—6322no—
1557D4—6322no—
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—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
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—44no—
1596C2×C4—3164no—
1597C2×C4—3164no—
1598C2×C4—3164no—
1599C2×C4—3164no—
1600C2×C4—3164no—
1601C2×C4—3164no—
1602C2×C4—3164no—
1603C2×C4—792no—
1604C2×C4—792no—
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—1581no—
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×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4—1581no—
1636C2×C4C2×D4×D7912yes—
1637C2×C4C2×D4×D7912yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—3161no—
1653C22—3161no—
1654C22—3161no—
1655C22—3161no—
1656C22—3161no—
1657C22—3161no—
1658C22—3161no—
1659C22—3161no—
1660C22—3161no—
1661C22—3161no—
1662C22—3161no—
1663C22—3161no—
1664C22—3161no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—3161no—
1669C22—3161no—
1670C22—3161no—
1671C22—3161no—
1672C22—3161no—
1673C22—3161no—
1674C22—3161no—
1675C22—3161no—
1676C22—3161no—
1677C22—794no—
1678C22—6328no—
1679C22—6328no—
1680C22—6328no—
1681C22—1582no—
1682C22—1582no—
1683C22—1582no—
1684C22—1582no—
1685C22—1582no—
1686C22—1582no—
1687C22—1582no—
1688C22—1582no—
1689C22—1582no—
1690C22C22×D4×D7911yescharacteristic
1691C22H(5,𝔽2)×D7911yescharacteristic
1692C22H(5,𝔽2)×D7911yescharacteristic
1693C22#1909939911yescharacteristic
1694C22#1909939911yescharacteristic
1695C22#1909940011yescharacteristic
1696C22#1909940011yescharacteristic
1697C4—22no—
1698C4—22no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—3161no—
1711C4—3161no—
1712C4—3161no—
1713C4—3161no—
1714C4—3161no—
1715C4—3161no—
1716C4—3161no—
1717C4—3161no—
1718C4—3161no—
1719C4—1582no—
1720C4—1582no—
1721C2—42no—
1722C2—81no—
1723C2—3162no—
1724C2—6321no—
1725C2—6321no—
1726C2—6321no—
1727C2—1584no—
1728C2#535×D7911yescharacteristic
1729C2#2377703911yescharacteristic
1730C2#2377703911yescharacteristic
1731C2#2377793911yescharacteristic
1732C2#2377794311yescharacteristic
1733C2#2377795311yescharacteristic
1734C2#2377795511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2718C2
prime radicalC2×#19099124C2
hypercenter#2718D79
hypocenterC79#36969
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2718

Complements

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

NH ≅ G/Ntype
2. C2×#126×D79C2semidirect
3. #23771733C2semidirect
4. #23771727C2semidirect
5. #23770255C2semidirect
6. #23770254C2semidirect
7. #23770251C2semidirect
8. #23770250C2semidirect
9. #23770249C2semidirect
10. #23770246C2semidirect
11. #23770245C2semidirect
12. #23769798C2semidirect
13. #23769797C2semidirect
14. #23769794C2semidirect
15. #23769793C2semidirect
16. #23769789C2semidirect
17. #23769788C2semidirect
18. #23769785C2semidirect
19. #23769784C2semidirect
20. #23769147C2semidirect
21. #23769143C2semidirect
22. #23768878C2semidirect
23. #23768876C2semidirect
24. #23767868C2semidirect
25. #23767866C2semidirect
26. #23766729C2semidirect
27. #23766729C2semidirect
28. #23766722C2semidirect
29. #23766722C2semidirect
30. #23765994C2semidirect
31. C79×#2718C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579156C22semidirect
37. C2×#14579156C22semidirect
38. C2×#14579155C22semidirect
39. C2×#14579154C22semidirect
40. C2×#14579154C22semidirect
41. C2×#14579154C22semidirect
45. C2×#14579146C22semidirect
46. C2×#14579146C22semidirect
47. C2×#14579146C22semidirect
48. C2×#14579146C22semidirect
49. C2×#14579146C22semidirect
50. C2×#14579146C22semidirect
52. C2×#14579143C22semidirect
53. C2×#14579143C22semidirect
62. C2×C4⋊C4×D79C22semidirect
63. C2×C4⋊C4×D79C22semidirect
64. C2×C4⋊C4×D79C22semidirect
68. C2×C42×D79C22semidirect
69. #19098505C22semidirect
70. #19098504C22semidirect
71. #19098501C22semidirect
72. #19098500C22semidirect
73. #19098499C22semidirect
74. #19098498C22semidirect
75. #19098498C22semidirect
76. #19098498C22semidirect
77. #19098498C22semidirect
78. #19098498C22semidirect
79. #19098497C22semidirect
80. #19098496C22semidirect
81. #19098494C22semidirect
82. #19098487C22semidirect
83. #19098487C22semidirect
84. #19098486C22semidirect
85. #19098485C22semidirect
86. #19098485C22semidirect
87. #19098485C22semidirect
88. #19098485C22semidirect
93. #19098481C22semidirect
94. #19098481C22semidirect
99. #19098480C22semidirect
100. #19098480C22semidirect
103. #19098479C22semidirect
104. #19098479C22semidirect
107. #19098478C22semidirect
108. #19098478C22semidirect
111. #19098465C22semidirect
112. #19098465C22semidirect
113. #19098464C22semidirect
114. #19098464C22semidirect
115. #19098463C22semidirect
116. #19098463C22semidirect
117. #19098463C22semidirect
118. #19098463C22semidirect
119. #19098460C22semidirect
120. #19098459C22semidirect
121. #19098458C22semidirect
122. #19098457C22semidirect
123. #19098457C22semidirect
124. #19098456C22semidirect
125. #19098455C22semidirect
126. #19098455C22semidirect
127. #19098455C22semidirect
128. #19098455C22semidirect
129. #19098454C22semidirect
130. #19098454C22semidirect
131. #19098454C22semidirect
132. #19098453C22semidirect
133. #19098453C22semidirect
134. #19098453C22semidirect
135. #19098453C22semidirect
136. #19098452C22semidirect
137. #19098452C22semidirect
138. #19098452C22semidirect
139. #19098452C22semidirect
140. #19098452C22semidirect
141. #19098451C22semidirect
142. #19098451C22semidirect
143. #19098441C22semidirect
144. #19098441C22semidirect
145. #19098441C22semidirect
146. #19098441C22semidirect
147. #19098441C22semidirect
148. #19098441C22semidirect
149. #19098439C22semidirect
150. #19098439C22semidirect
151. #19098437C22semidirect
152. #19098437C22semidirect
153. #19098436C22semidirect
154. #19098436C22semidirect
155. #19098434C22semidirect
156. #19098434C22semidirect
157. #19098432C22semidirect
158. #19098432C22semidirect
159. #19098432C22semidirect
160. #19098422C22semidirect
161. #19098420C22semidirect
164. #19098418C22semidirect
165. #19098418C22semidirect
166. #19098418C22semidirect
167. #19098418C22semidirect
168. #19098418C22semidirect
169. #19098418C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. C4×(C2×D79)⋊C4C22semidirect
173. #19098410C22semidirect
174. C2×#126×C79C22semidirect
176. #400×C79C22semidirect
177. #399×C79C22semidirect
178. #398×C79C22semidirect
179. #396×C79C22semidirect
182. #389×C79C22semidirect
183. #388×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. #384×C79C22semidirect
879. #2718D79semidirect
899. C79#36969semidirect
911. C2×#126C2×D79semidirect
942. #400C2×D79semidirect
950. #399C2×D79semidirect
954. #398C2×D79semidirect
962. #396C2×D79semidirect
998. #389C2×D79semidirect
1020. #388C2×D79semidirect
1021. #388C2×D79semidirect
1022. #388C2×D79semidirect
1037. #385C2×D79semidirect
1038. #385C2×D79semidirect
1042. #384C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991242
C2×#126×D792
#237717332
#237717272
#237702552
#237702542
#237702512
#237702502
#237702492
#237702462
#237702452
#237697982
#237697972
#237697942
#237697932
#237697892
#237697882
#237697852
#237697842
#237691472
#237691432
#237688782
#237688762
#237678682
#237678662
#237667292
#237667222
#237659942
C79×#27182
#3696979