Finite Group Databasebeta

← #34461282

Subgroups — #34461282

Order 20224.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099157C211yesmaximal, characteristic, complemented
2C2×#19099153C211yesmaximal, characteristic, complemented
3#23771774C211yesmaximal, characteristic, complemented
4#23771766C211yesmaximal, characteristic, complemented
5#23771727C211yesmaximal, characteristic, complemented
6#23771702C211yesmaximal, characteristic, complemented
7#23769567C211yesmaximal, characteristic, complemented
8#23769557C211yesmaximal, characteristic, complemented
9#23769546C211yesmaximal, characteristic, complemented
10#23769534C211yesmaximal, characteristic, complemented
11#23768545C211yesmaximal, characteristic, complemented
12#23768532C211yesmaximal, characteristic, complemented
13#23768517C211yesmaximal, characteristic, complemented
14#23768500C211yesmaximal, characteristic, complemented
15#23768408C211yesmaximal, characteristic, complemented
16#23768364C211yesmaximal, characteristic, complemented
17#23768330C211yesmaximal, characteristic, complemented
18#23768295C211yesmaximal, characteristic, complemented
19#23768109C211yesmaximal, characteristic, complemented
20#23768069C211yesmaximal, characteristic, complemented
21#23767526C211yesmaximal, characteristic, complemented
22#23767404C211yesmaximal, characteristic, complemented
23#23767371C211yesmaximal, characteristic, complemented
24#23766951C211yesmaximal, characteristic, complemented
25#23766938C211yesmaximal, characteristic, complemented
26#23766066C211yesmaximal, characteristic, complemented
27#23766063C211yesmaximal, characteristic, complemented
28#23765910C211yesmaximal, characteristic, complemented
29C2×#19098455C211yesmaximal, characteristic, complemented
30C4×(C22⋊D79)⋊C4C211yesmaximal, characteristic, complemented
31C79×#2488C211yesmaximal, characteristic, complemented
32#19099157—28no—
33#19099153—28no—
34C2×#14579156C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579154C2211yescharacteristic, complemented
38C2×#14579152C2211yescharacteristic, complemented
39C2×#14579151C2211yescharacteristic, complemented
40C2×#14579150C2211yescharacteristic
41C2×#14579150C2211yescharacteristic
42C2×#14579149C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579145C2211yescharacteristic, complemented
46C2×#14579144C2211yescharacteristic
47C2×#14579144C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579141C2211yescharacteristic, complemented
50C2×#14579138C2211yescharacteristic
51C2×#14579138C2211yescharacteristic, complemented
52C2×#14579136C2211yescharacteristic
53C2×#14579136C2211yescharacteristic
54C2×#14579135C2211yescharacteristic
55C2×#14579134C2211yescharacteristic
56C2×#14579133C2211yescharacteristic
57C2×#14579133C2211yescharacteristic
58C2×#14579131C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579129C2211yescharacteristic
61C2×D4×Dic79C2211yescharacteristic
62C2×C4×C22⋊D79C2211yescharacteristic
63C2×(C22⋊D79)⋊C4C2211yescharacteristic
64C2×(C22⋊D79)⋊C4C2211yescharacteristic
65C2×(C22⋊D79)⋊C4C2211yescharacteristic
66C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
67C22×C4⋊Dic79C2211yescharacteristic
68C22×(C2×D79)⋊C4C2211yescharacteristic
69C22×(C2×D79)⋊C4C2211yescharacteristic
70C22×(C2×D79)⋊C4C2211yescharacteristic
71C22×C4×Dic79C2211yescharacteristic
72C2×C42×D79C2211yescharacteristic, complemented
73#19098498C2211yescharacteristic
74#19098498C2211yescharacteristic
75#19098497C2211yescharacteristic, complemented
76#19098497C2211yescharacteristic, complemented
77#19098494C2211yescharacteristic, complemented
78#19098493C2211yescharacteristic, complemented
79#19098492C2211yescharacteristic, complemented
80#19098492C2211yescharacteristic, complemented
81#19098490C2211yescharacteristic
82#19098487C2211yescharacteristic
83#19098487C2211yescharacteristic
84#19098487C2211yescharacteristic
85#19098487C2211yescharacteristic, complemented
86#19098483C2211yescharacteristic, complemented
87#19098482C2211yescharacteristic, complemented
88#19098481C2211yescharacteristic
89#19098481C2211yescharacteristic
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic
92#19098481C2211yescharacteristic
93#19098481C2211yescharacteristic, complemented
94#19098478C2211yescharacteristic
95#19098478C2211yescharacteristic, complemented
96#19098476C2211yescharacteristic
97#19098472C2211yescharacteristic
98#19098472C2211yescharacteristic
99#19098472C2211yescharacteristic
100#19098472C2211yescharacteristic, complemented
101#19098470C2211yescharacteristic, complemented
102#19098468C2211yescharacteristic, complemented
103#19098465C2211yescharacteristic
104#19098464C2211yescharacteristic
105#19098464C2211yescharacteristic
106#19098463C2211yescharacteristic
107#19098463C2211yescharacteristic
108#19098463C2211yescharacteristic
109#19098463C2211yescharacteristic
110#19098463C2211yescharacteristic
111#19098463C2211yescharacteristic, complemented
112#19098460C2211yescharacteristic, complemented
113#19098460C2211yescharacteristic, complemented
114#19098460C2211yescharacteristic, complemented
115#19098460C2211yescharacteristic, complemented
116#19098458C2211yescharacteristic, complemented
117#19098458C2211yescharacteristic, complemented
118#19098456C2211yescharacteristic, complemented
119#19098455C2211yescharacteristic
120#19098455C2211yescharacteristic
121#19098455C2211yescharacteristic
122#19098455C2211yescharacteristic
123#19098455C2211yescharacteristic
124#19098455C2211yescharacteristic
125#19098455C2211yescharacteristic
126#19098455C2211yescharacteristic
127#19098455C2211yescharacteristic
128#19098455C2211yescharacteristic
129#19098455C2211yescharacteristic, complemented
130#19098455C2211yescharacteristic, complemented
131#19098455C2211yescharacteristic, complemented
132#19098454C2211yescharacteristic
133#19098454C2211yescharacteristic
134#19098452C2211yescharacteristic
135#19098452C2211yescharacteristic
136#19098452C2211yescharacteristic
137#19098452C2211yescharacteristic
138#19098452C2211yescharacteristic
139#19098452C2211yescharacteristic, complemented
140#19098452C2211yescharacteristic, complemented
141#19098451C2211yescharacteristic, complemented
142#19098450C2211yescharacteristic, complemented
143#19098450C2211yescharacteristic, complemented
144#19098442C2211yescharacteristic
145#19098441C2211yescharacteristic
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic, complemented
149#19098441C2211yescharacteristic, complemented
150#19098440C2211yescharacteristic
151#19098440C2211yescharacteristic
152#19098440C2211yescharacteristic
153#19098439C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic, complemented
155#19098437C2211yescharacteristic, complemented
156#19098436C2211yescharacteristic
157#19098435C2211yescharacteristic
158#19098422C2211yescharacteristic, complemented
159#19098421C2211yescharacteristic
160#19098418C2211yescharacteristic
161C4×Dic79⋊C4C2211yescharacteristic, complemented
162#19098414C2211yescharacteristic, complemented
163#19098414C2211yescharacteristic, complemented
164#19098414C2211yescharacteristic, complemented
165C22⋊C4×Dic79C2211yescharacteristic
166C22⋊C4×Dic79C2211yescharacteristic
167C22⋊C4×Dic79C2211yescharacteristic, complemented
168C4×(C2×D79)⋊C4C2211yescharacteristic, complemented
169#19098410C2211yescharacteristic, complemented
170#19098410C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic, complemented
172C2×C79⋊#95C2211yescharacteristic
173C42×Dic79C2211yescharacteristic, complemented
174C2×#123×C79C2211yescharacteristic
175C2×C22⋊Q8×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#400×C79C2211yescharacteristic, complemented
178#397×C79C2211yescharacteristic, complemented
179#393×C79C2211yescharacteristic, complemented
180#391×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic
185#382×C79C2211yescharacteristic, complemented
186#381×C79C2211yescharacteristic
187C4×C22⋊C4×C79C2211yescharacteristic
188C2×#95×C79C2211yescharacteristic
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×C22⋊D79C2311yescharacteristic
197C22×C22⋊D79C2311yescharacteristic
198C22×C22⋊D79C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C23×Dic79C2311yescharacteristic
203C23×Dic79C2311yescharacteristic
204C23×Dic79C2311yescharacteristic
205C23×Dic79C2311yescharacteristic
206C22×C4×D79C2311yescharacteristic
207C22×C4×D79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210#14579156—24no—
211#14579156—24no—
212#14579156—24no—
213#14579154—24no—
214#14579152—24no—
215#14579151—24no—
216#14579150—24no—
217#14579150—24no—
218#14579149—42no—
219#14579146—24no—
220#14579146—24no—
221#14579145—24no—
222#14579144—24no—
223#14579144—24no—
224#14579143—24no—
225#14579141—24no—
226#14579138—24no—
227#14579138—24no—
228#14579136—24no—
229#14579136—24no—
230#14579135—24no—
231#14579134—42no—
232#14579133—24no—
233#14579133—24no—
234#14579131—24no—
235#14579131—24no—
236#14579129—24no—
237D4×Dic79—24no—
238C4×C22⋊D79—24no—
239(C22⋊D79)⋊C4—24no—
240(C22⋊D79)⋊C4—24no—
241(C22⋊D79)⋊C4—42no—
242(C22⋊D79)⋊C4D418yescomplemented
243C2×C4⋊Dic79—24no—
244C2×C4⋊Dic79C2311yescharacteristic
245C2×C4⋊Dic79C2311yescharacteristic
246C2×C4⋊Dic79C2311yescharacteristic
247C2×C4⋊Dic79C2311yescharacteristic
248C2×C4⋊Dic79C2311yescharacteristic
249C2×C4⋊Dic79C2311yescharacteristic
250C2×C4⋊Dic79C2311yescharacteristic
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
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×(C2×D79)⋊C4—24no—
275C2×(C2×D79)⋊C4—24no—
276C2×(C2×D79)⋊C4—42no—
277C2×(C2×D79)⋊C4C2311yescharacteristic
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×C4×Dic79—42no—
316C2×C4×Dic79C2311yescharacteristic
317C2×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C2×C4×Dic79C2311yescharacteristic
325C2×C4×Dic79C2311yescharacteristic
326C2×C4×Dic79C2311yescharacteristic
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C42×D79—42no—
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
348C22×Q8×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C23×C4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353#123×C79—24no—
354C22⋊Q8×C79—24no—
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C22⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C42×C79C2311yescharacteristic
370C2×C42×C79C2311yescharacteristic
371#95×C79C2311yescharacteristic
372#95×C79C2311yescharacteristic
373#95×C79C2311yescharacteristic
374#95×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×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—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395C23×D79C2411yescharacteristic
396C2×Dic158—22no—
397C2×Dic158—41no—
398C2×Dic158—41no—
399C2×D316—22no—
400C2×D316—22no—
401C2×D316—22no—
402C2×D316—22no—
403C2×D316—22no—
404C2×D316—41no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
410C2×D316—41no—
411C2×D316—41no—
412C2×D316—41no—
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—41no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79C2×D414yes—
432C22×Dic79—22no—
433C22×Dic79—22no—
434C22×Dic79—41no—
435C22×Dic79—41no—
436C22×Dic79—41no—
437C22×Dic79—41no—
438C22×Dic79—41no—
439C22×Dic79—41no—
440C22×Dic79—41no—
441C22×Dic79—41no—
442C22×Dic79C2×D414yes—
443C22×Dic79#4114yes—
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C22×Dic79C2411yescharacteristic
452C22×Dic79C2411yescharacteristic
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C2×C4×D79—22no—
457C2×C4×D79—22no—
458C2×C4×D79—22no—
459C2×C4×D79—22no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79—41no—
467C2×C4×D79C2×D414yes—
468C4⋊Dic79—22no—
469C4⋊Dic79—22no—
470C4⋊Dic79—22no—
471C4⋊Dic79—22no—
472C4⋊Dic79—22no—
473C4⋊Dic79—22no—
474C4⋊Dic79—22no—
475Dic79⋊C4—22no—
476Dic79⋊C4—22no—
477Dic79⋊C4—22no—
478Dic79⋊C4—22no—
479Dic79⋊C4—22no—
480Dic79⋊C4—22no—
481Dic79⋊C4—22no—
482Dic79⋊C4—22no—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—41no—
487Dic79⋊C4—41no—
488Dic79⋊C4—41no—
489Dic79⋊C4—41no—
490Dic79⋊C4—41no—
491Dic79⋊C4—41no—
492Dic79⋊C4C2×D414yes—
493C22⋊Dic79—22no—
494C22⋊Dic79—22no—
495C22⋊Dic79—22no—
496C22⋊Dic79—22no—
497C22⋊Dic79#4114yes—
498(C2×D79)⋊C4—22no—
499(C2×D79)⋊C4—22no—
500(C2×D79)⋊C4—22no—
501(C2×D79)⋊C4—22no—
502(C2×D79)⋊C4—22no—
503(C2×D79)⋊C4—22no—
504(C2×D79)⋊C4—22no—
505(C2×D79)⋊C4—22no—
506(C2×D79)⋊C4—22no—
507(C2×D79)⋊C4—22no—
508(C2×D79)⋊C4—22no—
509(C2×D79)⋊C4—22no—
510(C2×D79)⋊C4—22no—
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—22no—
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)⋊C4C2×D414yes—
536C4×Dic79—22no—
537C4×Dic79—22no—
538C4×Dic79—22no—
539C4×Dic79—22no—
540C4×Dic79—22no—
541C4×Dic79—22no—
542C4×Dic79—41no—
543C4×Dic79—41no—
544C4×Dic79—41no—
545C4×Dic79—41no—
546C4×Dic79—41no—
547C4×Dic79—41no—
548C4×Dic79C2×D414yes—
549C24×C79C2411yescharacteristic
550C24×C79C2411yescharacteristic
551C2×Q8×C79—22no—
552C2×Q8×C79—41no—
553C2×Q8×C79—41no—
554C2×D4×C79—22no—
555C2×D4×C79—22no—
556C2×D4×C79—22no—
557C22×C4×C79—22no—
558C22×C4×C79—22no—
559C22×C4×C79—22no—
560C22×C4×C79—22no—
561C22×C4×C79—22no—
562C22×C4×C79—22no—
563C22×C4×C79—41no—
564C22×C4×C79—41no—
565C22×C4×C79—41no—
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
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
579C4⋊C4×C79—22no—
580C4⋊C4×C79—22no—
581C4⋊C4×C79—22no—
582C4⋊C4×C79—22no—
583C4⋊C4×C79—22no—
584C22⋊C4×C79—22no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—22no—
588C22⋊C4×C79—22no—
589C22⋊C4×C79—41no—
590C22⋊C4×C79—41no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79C2×D414yes—
593C42×C79—22no—
594C42×C79—41no—
595C23×C79—21no—
596C23×C79—21no—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79C22×D412yes—
607C23×C79C2×#4112yes—
608C23×C79C2×#4112yes—
609C23×C79C2511yescharacteristic
610C22×D79—21no—
611C22×D79—21no—
612C22×D79—21no—
613C22×D79—21no—
614C22×D79—21no—
615C22×D79—21no—
616C22×D79—21no—
617C22×D79—21no—
618C22×D79—21no—
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
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—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—44no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—82no—
641C22×D79—82no—
642C22×D79—82no—
643C22×D79—82no—
644C22×D79C22×D412yes—
645Q8×C79—82no—
646D4×C79—44no—
647C2×C4×C79—21no—
648C2×C4×C79—21no—
649C2×C4×C79—21no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—44no—
684C2×C4×C79—44no—
685C2×C4×C79—82no—
686C2×C4×C79C22×D412yes—
687C2×C4×C79C22×D412yes—
688C2×C4×C79H(5,𝔽2)12yes—
689C22⋊D79—28no—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—82no—
693C22⋊D79—82no—
694C22⋊D79—82no—
695C2×Dic79—21no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—44no—
725C2×Dic79—44no—
726C2×Dic79—82no—
727C2×Dic79—82no—
728C2×Dic79C22×D412yes—
729C2×Dic79C22×D412yes—
730C2×Dic79C22×D412yes—
731C2×Dic79C2×#4112yes—
732C2×Dic79C2×#4112yes—
733C2×Dic79C2×#4112yes—
734C2×Dic79C2×#4112yes—
735D316—82no—
736D316—82no—
737D316—82no—
738D316—82no—
739D316—82no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—82no—
744Dic158—82no—
745C22×C79—22no—
746C22×C79—22no—
747C22×C79—22no—
748C22×C79—22no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—41no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79#53214yes—
759C22×C79C23×D411yescharacteristic
760C22×C79C22×#4111yescharacteristic
761C22×C79C22×#4111yescharacteristic
762C22×C79C2×H(5,𝔽2)11yescharacteristic
763C22×C79#58511yescharacteristic
764C22×C79#58511yescharacteristic
765C22×C79#58511yescharacteristic
766C2×D79—22no—
767C2×D79—22no—
768C2×D79—22no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—41no—
773C2×D79—41no—
774C2×D79—41no—
775C2×D79—41no—
776C2×D79—41no—
777C2×D79—41no—
778C2×D79—41no—
779C2×D79—41no—
780C2×D79—41no—
781C2×D79—41no—
782C2×D79—41no—
783C2×D79—41no—
784C2×D79—41no—
785C2×D79—41no—
786C2×D79—41no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—88no—
795C4×C79—22no—
796C4×C79—22no—
797C4×C79—22no—
798C4×C79—41no—
799C4×C79—41no—
800C4×C79—41no—
801C4×C79—41no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808Dic79—22no—
809Dic79—22no—
810Dic79—22no—
811Dic79—22no—
812Dic79—22no—
813Dic79—22no—
814Dic79—22no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820#35009—791nomaximal, Sylow
821C2×C79—24no—
822C2×C79—81no—
823C2×C79C2×#53211yescharacteristic
824C2×C79#345511yescharacteristic
825C2×C79#345911yescharacteristic
826C2×C79#349611yescharacteristic
827C2×C79#350011yescharacteristic
828C2×C79#351311yescharacteristic
829C2×C79#352111yescharacteristic
830D79—42no—
831D79—81no—
832D79—81no—
833D79—81no—
834C2×#539—791no—
835C2×#538—791no—
836#2861—791no—
837#2860—791no—
838#2854—791no—
839#2850—791no—
840#2664—791no—
841#2663—791no—
842#2662—791no—
843#2661—791no—
844#2560—791no—
845#2559—791no—
846#2558—791no—
847#2557—791no—
848#2549—791no—
849#2543—791no—
850#2539—791no—
851#2534—791no—
852#2521—791no—
853#2519—791no—
854#2488D7911yescharacteristic, complemented
855#2472—791no—
856#2464—791no—
857#2461—791no—
858#2425—791no—
859#2424—791no—
860#2322—791no—
861#2321—791no—
862C4×#121—791no—
863C2×#388—791no—
864C42×D4—791no—
865C79#3500911yescharacteristic, complemented, Sylow
866#539—1588no—
867#538—1588no—
868C2×#126—791no—
869C2×#126—791no—
870C2×#126—791no—
871C2×#126—791no—
872C2×#125—791no—
873C2×#125—791no—
874C2×#124—791no—
875C2×#124—791no—
876C2×#124—791no—
877C2×#123—791no—
878C2×#123—791no—
879C2×#123—791no—
880C2×#123—791no—
881C2×#123—791no—
882C2×#123—791no—
883C2×#123C2×D7911yescharacteristic
884C2×C22⋊Q8—791no—
885C2×C22⋊Q8—791no—
886C2×C22⋊Q8—791no—
887C2×C22⋊Q8C2×D7911yescharacteristic
888C2×#121—791no—
889C2×#121—791no—
890C2×#121—791no—
891C2×#121—791no—
892C2×#121—791no—
893C2×#121—791no—
894C2×#120—791no—
895C2×#120—791no—
896C2×#120—791no—
897C2×C4×D4—791no—
898C2×C4×D4—791no—
899C2×C4×D4—791no—
900C2×C4×D4—791no—
901C2×C4×D4—791no—
902C2×C4×D4—791no—
903C22×C4⋊C4—791no—
904C22×C22⋊C4—791no—
905C22×C22⋊C4—791no—
906C22×C22⋊C4—791no—
907C22×C42—791no—
908C22×C42—791no—
909#400C2×D7911yescharacteristic, complemented
910#400C2×D7911yescharacteristic, complemented
911#399—791no—
912#399—791no—
913#398—791no—
914#398—791no—
915#398—791no—
916#398—791no—
917#397—791no—
918#397—791no—
919#397—791no—
920#397C2×D7911yescharacteristic, complemented
921#396—791no—
922#396—791no—
923#396—791no—
924#396—791no—
925#395—791no—
926#395—791no—
927#394—791no—
928#394—791no—
929#394—791no—
930#394—791no—
931#394—791no—
932#394—791no—
933#394—791no—
934#394—791no—
935#393—791no—
936#393C2×D7911yescharacteristic, complemented
937#392—791no—
938#392—791no—
939#392—791no—
940#392—791no—
941#391—791no—
942#391—791no—
943#391C2×D7911yescharacteristic, complemented
944#390—791no—
945#390—791no—
946#390—791no—
947#390—791no—
948#390—791no—
949#390—791no—
950#390—791no—
951#390—791no—
952#390—791no—
953#389—791no—
954#389—791no—
955#389—791no—
956#389—791no—
957#389—791no—
958#389—791no—
959#388—791no—
960#388—791no—
961#388—791no—
962#388—791no—
963#388—791no—
964#388—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388—791no—
974#388—791no—
975#388—791no—
976#388—791no—
977#388—791no—
978#388—791no—
979#388—791no—
980#388—791no—
981#388—791no—
982#388—791no—
983#388C2×D7911yescharacteristic, complemented
984#388C2×D7911yescharacteristic, complemented
985#387—791no—
986#387—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386—791no—
994#386—791no—
995#386—791no—
996#386—791no—
997#386C2×D7911yescharacteristic
998#386C2×D7911yescharacteristic
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#382C2×D7911yescharacteristic, complemented
1004#381C2×D7911yescharacteristic
1005#380—791no—
1006#380—791no—
1007#379—791no—
1008C4×C4⋊C4—791no—
1009C4×C4⋊C4—791no—
1010C4×C4⋊C4—791no—
1011C4×C4⋊C4—791no—
1012C4×C22⋊C4—791no—
1013C4×C22⋊C4—791no—
1014C4×C22⋊C4—791no—
1015C4×C22⋊C4—791no—
1016C4×C22⋊C4—791no—
1017C4×C22⋊C4—791no—
1018C4×C22⋊C4—791no—
1019C4×C22⋊C4C2×D7911yescharacteristic
1020C2×#95—791no—
1021C2×#95C2×D7911yescharacteristic
1022C43—791no—
1023C25—791no—
1024C22×Q8—791no—
1025C22×Q8C22×D7911yescharacteristic
1026C22×D4—791no—
1027C22×D4—791no—
1028C22×D4—791no—
1029C22×D4—791no—
1030C22×D4—791no—
1031C22×D4—791no—
1032C22×D4—791no—
1033C22×D4—791no—
1034C22×D4—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4C22×D7911yescharacteristic
1038C23×C4—791no—
1039C23×C4—791no—
1040C23×C4—791no—
1041C23×C4—791no—
1042C23×C4—791no—
1043C23×C4—791no—
1044C23×C4—791no—
1045C23×C4—791no—
1046C23×C4C22×D7911yescharacteristic
1047C23×C4C22×D7911yescharacteristic
1048C23×C4C22×D7911yescharacteristic
1049#126—1584no—
1050#126—1584no—
1051#126—1584no—
1052#126—1584no—
1053#125—1584no—
1054#125—1584no—
1055#124—3162no—
1056#124—1584no—
1057#124—1584no—
1058#123—24no—
1059#123—1584no—
1060#123—1584no—
1061#123—1584no—
1062#123—1584no—
1063#123—1584no—
1064#123—1584no—
1065C22⋊Q8—24no—
1066C22⋊Q8—1584no—
1067C22⋊Q8—1584no—
1068C22⋊Q8—1584no—
1069#121—3162no—
1070#121—1584no—
1071#121—1584no—
1072#121—1584no—
1073#121—1584no—
1074#121—1584no—
1075#120—1584no—
1076#120—1584no—
1077#120—1584no—
1078C4×D4—3162no—
1079C4×D4—798no—
1080C4×D4—1584no—
1081C4×D4—1584no—
1082C4×D4—1584no—
1083C4×D4—1584no—
1084C2×C4⋊C4—791no—
1085C2×C4⋊C4—791no—
1086C2×C4⋊C4—791no—
1087C2×C4⋊C4—791no—
1088C2×C4⋊C4—791no—
1089C2×C4⋊C4—791no—
1090C2×C4⋊C4—791no—
1091C2×C4⋊C4—791no—
1092C2×C4⋊C4—791no—
1093C2×C4⋊C4—791no—
1094C2×C4⋊C4—791no—
1095C2×C4⋊C4—791no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—1584no—
1110C2×C4⋊C4C22×D7911yescharacteristic
1111C2×C4⋊C4C22×D7911yescharacteristic
1112C2×C4⋊C4C22×D7911yescharacteristic
1113C2×C4⋊C4C22×D7911yescharacteristic
1114C2×C4⋊C4C22×D7911yescharacteristic
1115C2×C22⋊C4—3162no—
1116C2×C22⋊C4—791no—
1117C2×C22⋊C4—791no—
1118C2×C22⋊C4—791no—
1119C2×C22⋊C4—791no—
1120C2×C22⋊C4—791no—
1121C2×C22⋊C4—791no—
1122C2×C22⋊C4—791no—
1123C2×C22⋊C4—791no—
1124C2×C22⋊C4—791no—
1125C2×C22⋊C4—791no—
1126C2×C22⋊C4—791no—
1127C2×C22⋊C4—791no—
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
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—1584no—
1160C2×C22⋊C4—1584no—
1161C2×C22⋊C4C22×D7911yescharacteristic
1162C2×C22⋊C4C22×D7911yescharacteristic
1163C2×C22⋊C4C22×D7911yescharacteristic
1164C2×C22⋊C4C22×D7911yescharacteristic
1165C2×C22⋊C4C22×D7911yescharacteristic
1166C2×C22⋊C4C22×D7911yescharacteristic
1167C2×C22⋊C4C22×D7911yescharacteristic
1168C2×C22⋊C4C22×D7911yescharacteristic
1169C2×C22⋊C4C22×D7911yescharacteristic
1170C2×C42—3162no—
1171C2×C42—3162no—
1172C2×C42—791no—
1173C2×C42—791no—
1174C2×C42—791no—
1175C2×C42—791no—
1176C2×C42—791no—
1177C2×C42—791no—
1178C2×C42—791no—
1179C2×C42—791no—
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—791no—
1185C2×C42C22×D7911yescharacteristic
1186C2×C42C22×D7911yescharacteristic
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95C22×D7911yescharacteristic
1206#95C22×D7911yescharacteristic
1207#95C22×D7911yescharacteristic
1208#95C22×D7911yescharacteristic
1209#95C22×D7911yescharacteristic
1210#95C22×D7911yescharacteristic
1211#95C22×D7911yescharacteristic
1212#95C22×D7911yescharacteristic
1213#95C22×D7911yescharacteristic
1214#95C22×D7911yescharacteristic
1215#95C22×D7911yescharacteristic
1216#95C22×D7911yescharacteristic
1217#95C22×D7911yescharacteristic
1218#95C22×D7911yescharacteristic
1219C24—3161no—
1220C24—3161no—
1221C24—3161no—
1222C24—3161no—
1223C24—791no—
1224C24—791no—
1225C24—791no—
1226C24—791no—
1227C24—1582no—
1228C24—1582no—
1229C24—1582no—
1230C24C23×D7911yescharacteristic
1231C24C23×D7911yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—41no—
1234C2×Q8—41no—
1235C2×Q8—3161no—
1236C2×Q8—3161no—
1237C2×Q8—1582no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—3161no—
1242C2×D4—3161no—
1243C2×D4—3161no—
1244C2×D4—3161no—
1245C2×D4—3161no—
1246C2×D4—3161no—
1247C2×D4—3161no—
1248C2×D4—3161no—
1249C2×D4—3161no—
1250C2×D4—3161no—
1251C2×D4—3161no—
1252C2×D4—3161no—
1253C2×D4—3161no—
1254C2×D4—3161no—
1255C2×D4—3161no—
1256C2×D4—3161no—
1257C2×D4—3161no—
1258C2×D4—3161no—
1259C2×D4—794no—
1260C2×D4—1582no—
1261C2×D4—1582no—
1262C2×D4—1582no—
1263C2×D4—1582no—
1264C2×D4—1582no—
1265C2×D4—1582no—
1266C2×D4—1582no—
1267C2×D4—1582no—
1268C2×D4—1582no—
1269C2×D4—1582no—
1270C2×D4—1582no—
1271C2×D4—1582no—
1272C2×D4—1582no—
1273C2×D4—1582no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—3161no—
1284C22×C4—3161no—
1285C22×C4—3161no—
1286C22×C4—3161no—
1287C22×C4—3161no—
1288C22×C4—3161no—
1289C22×C4—3161no—
1290C22×C4—3161no—
1291C22×C4—3161no—
1292C22×C4—3161no—
1293C22×C4—3161no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—794no—
1299C22×C4—794no—
1300C22×C4—794no—
1301C22×C4—791no—
1302C22×C4—791no—
1303C22×C4—791no—
1304C22×C4—791no—
1305C22×C4—791no—
1306C22×C4—791no—
1307C22×C4—791no—
1308C22×C4—791no—
1309C22×C4—791no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—1582no—
1314C22×C4—1582no—
1315C22×C4—1582no—
1316C22×C4—1582no—
1317C22×C4—1582no—
1318C22×C4—1582no—
1319C22×C4C23×D7911yescharacteristic
1320C22×C4C23×D7911yescharacteristic
1321C22×C4C23×D7911yescharacteristic
1322C22×C4C23×D7911yescharacteristic
1323C22×C4C23×D7911yescharacteristic
1324C22×C4C23×D7911yescharacteristic
1325C22×C4C23×D7911yescharacteristic
1326C22×C4C23×D7911yescharacteristic
1327C22×C4C23×D7911yescharacteristic
1328C22×C4C23×D7911yescharacteristic
1329C22×C4C23×D7911yescharacteristic
1330C22×C4C23×D7911yescharacteristic
1331C22×C4C23×D7911yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—3161no—
1338C4⋊C4—3161no—
1339C4⋊C4—3161no—
1340C4⋊C4—3161no—
1341C4⋊C4—3161no—
1342C4⋊C4—3161no—
1343C4⋊C4—794no—
1344C4⋊C4—1582no—
1345C4⋊C4—1582no—
1346C4⋊C4—1582no—
1347C4⋊C4—1582no—
1348C4⋊C4—1582no—
1349C4⋊C4—1582no—
1350C4⋊C4—1582no—
1351C4⋊C4—1582no—
1352C4⋊C4—1582no—
1353C4⋊C4—1582no—
1354C4⋊C4—1582no—
1355C4⋊C4—1582no—
1356C4⋊C4—1582no—
1357C4⋊C4—1582no—
1358C4⋊C4—1582no—
1359C4⋊C4—1582no—
1360C4⋊C4—1582no—
1361C4⋊C4—1582no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—3161no—
1371C22⋊C4—3161no—
1372C22⋊C4—3161no—
1373C22⋊C4—3161no—
1374C22⋊C4—3161no—
1375C22⋊C4—3161no—
1376C22⋊C4—3161no—
1377C22⋊C4—3161no—
1378C22⋊C4—3161no—
1379C22⋊C4—794no—
1380C22⋊C4—794no—
1381C22⋊C4—1582no—
1382C22⋊C4—1582no—
1383C22⋊C4—1582no—
1384C22⋊C4—1582no—
1385C22⋊C4—1582no—
1386C22⋊C4—1582no—
1387C22⋊C4—1582no—
1388C22⋊C4—1582no—
1389C22⋊C4—1582no—
1390C22⋊C4—1582no—
1391C22⋊C4—1582no—
1392C22⋊C4—1582no—
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⋊C4—1582no—
1406C22⋊C4—1582no—
1407C22⋊C4—1582no—
1408C22⋊C4—1582no—
1409C22⋊C4—1582no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4D4×D7914yes—
1414C42—22no—
1415C42—41no—
1416C42—3161no—
1417C42—3161no—
1418C42—3161no—
1419C42—3161no—
1420C42—3161no—
1421C42—3161no—
1422C42—794no—
1423C42—1582no—
1424C42—1582no—
1425C42—1582no—
1426C42—1582no—
1427C42—1582no—
1428C42—1582no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—3164no—
1441C23—3164no—
1442C23—3164no—
1443C23—792no—
1444C23—6322no—
1445C23—6322no—
1446C23—6322no—
1447C23—6322no—
1448C23—1581no—
1449C23—1581no—
1450C23—1581no—
1451C23—1581no—
1452C23—1581no—
1453C23—1581no—
1454C23—1581no—
1455C23—1581no—
1456C23—1581no—
1457C23—1581no—
1458C23—1581no—
1459C23—1581no—
1460C23—1581no—
1461C23—1581no—
1462C23—1581no—
1463C23—1581no—
1464C23—1581no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23C2×D4×D7912yes—
1476C23#41×D7912yes—
1477C23#41×D7912yes—
1478C23C24×D7911yescharacteristic
1479Q8—82no—
1480Q8—6322no—
1481D4—44no—
1482D4—3164no—
1483D4—3164no—
1484D4—6322no—
1485D4—6322no—
1486D4—6322no—
1487D4—6322no—
1488D4—6322no—
1489D4—6322no—
1490D4—6322no—
1491D4—6322no—
1492D4—1588no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—44no—
1530C2×C4—44no—
1531C2×C4—82no—
1532C2×C4—3164no—
1533C2×C4—3164no—
1534C2×C4—3164no—
1535C2×C4—3164no—
1536C2×C4—3164no—
1537C2×C4—792no—
1538C2×C4—792no—
1539C2×C4—792no—
1540C2×C4—792no—
1541C2×C4—792no—
1542C2×C4—792no—
1543C2×C4—792no—
1544C2×C4—6322no—
1545C2×C4—6322no—
1546C2×C4—6322no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4C2×D4×D7912yes—
1577C2×C4C2×D4×D7912yes—
1578C2×C4#1457920712yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—3161no—
1593C22—3161no—
1594C22—3161no—
1595C22—3161no—
1596C22—3161no—
1597C22—3161no—
1598C22—3161no—
1599C22—3161no—
1600C22—3161no—
1601C22—3161no—
1602C22—3161no—
1603C22—3161no—
1604C22—3161no—
1605C22—3161no—
1606C22—3161no—
1607C22—3161no—
1608C22—3161no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—6328no—
1618C22—1582no—
1619C22—1582no—
1620C22—1582no—
1621C22#1909911214yes—
1622C22C22×D4×D7911yescharacteristic
1623C22C2×#41×D7911yescharacteristic
1624C22C2×#41×D7911yescharacteristic
1625C22C2×#1457920711yescharacteristic
1626C22#1909939811yescharacteristic
1627C22#1909939911yescharacteristic
1628C22#1909940011yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—1582no—
1648C4—1582no—
1649C4—1582no—
1650C4—1582no—
1651C4—1582no—
1652C4—1582no—
1653C4—1582no—
1654C2—24no—
1655C2—81no—
1656C2—3162no—
1657C2—6321no—
1658C2—6321no—
1659C2—6321no—
1660C2C2×#1909911211yescharacteristic
1661C2#2377678611yescharacteristic
1662C2#2377681011yescharacteristic
1663C2#2377715811yescharacteristic
1664C2#2377718611yescharacteristic
1665C2#2377732711yescharacteristic
1666C2#2377745511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2488C2
hypercenter#2488D79
hypocenterC79#35009
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2488

Complements

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

NH ≅ G/Ntype
1. C2×#19099157C2semidirect
2. C2×#19099153C2semidirect
3. #23771774C2semidirect
4. #23771766C2semidirect
5. #23771727C2semidirect
6. #23771702C2semidirect
7. #23769567C2semidirect
8. #23769557C2semidirect
9. #23769546C2semidirect
10. #23769534C2semidirect
11. #23768545C2semidirect
12. #23768532C2semidirect
13. #23768517C2semidirect
14. #23768500C2semidirect
15. #23768408C2semidirect
16. #23768364C2semidirect
17. #23768330C2semidirect
18. #23768295C2semidirect
19. #23768109C2semidirect
20. #23768069C2semidirect
21. #23767526C2semidirect
22. #23767404C2semidirect
23. #23767371C2semidirect
24. #23766951C2semidirect
25. #23766938C2semidirect
26. #23766066C2semidirect
27. #23766063C2semidirect
28. #23765910C2semidirect
29. C2×#19098455C2semidirect
30. C4×(C22⋊D79)⋊C4C2semidirect
31. C79×#2488C2semidirect
36. C2×#14579156C22semidirect
37. C2×#14579154C22semidirect
38. C2×#14579152C22semidirect
39. C2×#14579151C22semidirect
45. C2×#14579145C22semidirect
48. C2×#14579143C22semidirect
49. C2×#14579141C22semidirect
51. C2×#14579138C22semidirect
66. C2×(C22⋊D79)⋊C4C22semidirect
72. C2×C42×D79C22semidirect
75. #19098497C22semidirect
76. #19098497C22semidirect
77. #19098494C22semidirect
78. #19098493C22semidirect
79. #19098492C22semidirect
80. #19098492C22semidirect
85. #19098487C22semidirect
86. #19098483C22semidirect
87. #19098482C22semidirect
93. #19098481C22semidirect
95. #19098478C22semidirect
100. #19098472C22semidirect
101. #19098470C22semidirect
102. #19098468C22semidirect
111. #19098463C22semidirect
112. #19098460C22semidirect
113. #19098460C22semidirect
114. #19098460C22semidirect
115. #19098460C22semidirect
116. #19098458C22semidirect
117. #19098458C22semidirect
118. #19098456C22semidirect
129. #19098455C22semidirect
130. #19098455C22semidirect
131. #19098455C22semidirect
139. #19098452C22semidirect
140. #19098452C22semidirect
141. #19098451C22semidirect
142. #19098450C22semidirect
143. #19098450C22semidirect
148. #19098441C22semidirect
149. #19098441C22semidirect
153. #19098439C22semidirect
154. #19098437C22semidirect
155. #19098437C22semidirect
158. #19098422C22semidirect
161. C4×Dic79⋊C4C22semidirect
162. #19098414C22semidirect
163. #19098414C22semidirect
164. #19098414C22semidirect
167. C22⋊C4×Dic79C22semidirect
168. C4×(C2×D79)⋊C4C22semidirect
169. #19098410C22semidirect
170. #19098410C22semidirect
171. #19098410C22semidirect
173. C42×Dic79C22semidirect
176. #400×C79C22semidirect
177. #400×C79C22semidirect
178. #397×C79C22semidirect
179. #393×C79C22semidirect
180. #391×C79C22semidirect
181. #388×C79C22semidirect
182. #388×C79C22semidirect
185. #382×C79C22semidirect
242. (C22⋊D79)⋊C4D4semidirect
854. #2488D79semidirect
865. C79#35009semidirect
909. #400C2×D79semidirect
910. #400C2×D79semidirect
920. #397C2×D79semidirect
936. #393C2×D79semidirect
943. #391C2×D79semidirect
983. #388C2×D79semidirect
984. #388C2×D79semidirect
1003. #382C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991572
C2×#190991532
#237717742
#237717662
#237717272
#237717022
#237695672
#237695572
#237695462
#237695342
#237685452
#237685322
#237685172
#237685002
#237684082
#237683642
#237683302
#237682952
#237681092
#237680692
#237675262
#237674042
#237673712
#237669512
#237669382
#237660662
#237660632
#237659102
C2×#190984552
C4×(C22⋊D79)⋊C42
C79×#24882
#3500979