Finite Group Databasebeta

← #34495795

Subgroups — #34495795

Order 20224.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099166C211yesmaximal, characteristic, complemented
2C2×#19099149C211yesmaximal, characteristic, complemented
3#23771742C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770293C211yesmaximal, characteristic, complemented
6#23770190C211yesmaximal, characteristic, complemented
7#23769916C211yesmaximal, characteristic, complemented
8#23769751C211yesmaximal, characteristic, complemented
9#23769738C211yesmaximal, characteristic, complemented
10#23769718C211yesmaximal, characteristic, complemented
11#23769706C211yesmaximal, characteristic, complemented
12#23769690C211yesmaximal, characteristic, complemented
13#23769671C211yesmaximal, characteristic, complemented
14#23769657C211yesmaximal, characteristic, complemented
15#23769637C211yesmaximal, characteristic, complemented
16#23769634C211yesmaximal, characteristic, complemented
17#23769619C211yesmaximal, characteristic, complemented
18#23769613C211yesmaximal, characteristic, complemented
19#23769606C211yesmaximal, characteristic, complemented
20#23769535C211yesmaximal, characteristic, complemented
21#23769531C211yesmaximal, characteristic, complemented
22#23769083C211yesmaximal, characteristic, complemented
23#23769020C211yesmaximal, characteristic, complemented
24#23769008C211yesmaximal, characteristic, complemented
25#23768993C211yesmaximal, characteristic, complemented
26#23768333C211yesmaximal, characteristic, complemented
27#23768325C211yesmaximal, characteristic, complemented
28#23766814C211yesmaximal, characteristic, complemented
29#23766778C211yesmaximal, characteristic, complemented
30#23765838C211yesmaximal, characteristic, complemented
31C79×#2673C211yesmaximal, characteristic, complemented
32#19099166—28no—
33#19099149—28no—
34C2×#14579157C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579154C2211yescharacteristic
37C2×#14579152C2211yescharacteristic, complemented
38C2×#14579147C2211yescharacteristic
39C2×#14579147C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579145C2211yescharacteristic
42C2×#14579145C2211yescharacteristic, complemented
43C2×#14579143C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic, complemented
47C2×#14579141C2211yescharacteristic
48C2×#14579138C2211yescharacteristic, complemented
49C2×#14579138C2211yescharacteristic, complemented
50C2×#14579135C2211yescharacteristic
51C2×#14579135C2211yescharacteristic
52C2×#14579134C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579133C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579133C2211yescharacteristic
57C2×#14579133C2211yescharacteristic, complemented
58C2×#14579132C2211yescharacteristic
59C2×#14579132C2211yescharacteristic
60C2×#14579132C2211yescharacteristic
61C2×#14579132C2211yescharacteristic
62C2×#14579132C2211yescharacteristic, complemented
63C2×#14579132C2211yescharacteristic, complemented
64C2×#14579132C2211yescharacteristic, complemented
65C2×#14579131C2211yescharacteristic
66C2×#14579129C2211yescharacteristic
67C2×#14579129C2211yescharacteristic
68C2×#14579129C2211yescharacteristic
69C2×#14579129C2211yescharacteristic
70C2×D4×Dic79C2211yescharacteristic, complemented
71C2×#14579123C2211yescharacteristic
72C2×C4×C22⋊D79C2211yescharacteristic
73C2×#14579120C2211yescharacteristic, complemented
74C2×#14579119C2211yescharacteristic
75C2×C22⋊C4×D79C2211yescharacteristic
76C2×C42×D79C2211yescharacteristic, complemented
77#19098500C2211yescharacteristic
78#19098500C2211yescharacteristic
79#19098499C2211yescharacteristic
80#19098499C2211yescharacteristic, complemented
81#19098495C2211yescharacteristic, complemented
82#19098495C2211yescharacteristic, complemented
83#19098495C2211yescharacteristic, complemented
84#19098493C2211yescharacteristic, complemented
85#19098490C2211yescharacteristic
86#19098490C2211yescharacteristic
87#19098488C2211yescharacteristic
88#19098488C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic
90#19098486C2211yescharacteristic
91#19098486C2211yescharacteristic, complemented
92#19098485C2211yescharacteristic
93#19098484C2211yescharacteristic, complemented
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic, complemented
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic
102#19098478C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic, complemented
104#19098477C2211yescharacteristic
105#19098477C2211yescharacteristic
106#19098477C2211yescharacteristic, complemented
107#19098475C2211yescharacteristic, complemented
108#19098472C2211yescharacteristic
109#19098472C2211yescharacteristic
110#19098471C2211yescharacteristic
111#19098471C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic
115#19098471C2211yescharacteristic
116#19098471C2211yescharacteristic
117#19098471C2211yescharacteristic
118#19098471C2211yescharacteristic, complemented
119#19098466C2211yescharacteristic
120#19098466C2211yescharacteristic
121#19098466C2211yescharacteristic
122#19098466C2211yescharacteristic
123#19098466C2211yescharacteristic, complemented
124#19098466C2211yescharacteristic, complemented
125#19098466C2211yescharacteristic, complemented
126#19098466C2211yescharacteristic, complemented
127#19098466C2211yescharacteristic, complemented
128#19098463C2211yescharacteristic
129#19098463C2211yescharacteristic
130#19098463C2211yescharacteristic
131#19098463C2211yescharacteristic
132#19098462C2211yescharacteristic, complemented
133#19098460C2211yescharacteristic, complemented
134#19098458C2211yescharacteristic, complemented
135#19098456C2211yescharacteristic
136#19098456C2211yescharacteristic, complemented
137#19098455C2211yescharacteristic
138#19098455C2211yescharacteristic
139#19098454C2211yescharacteristic
140#19098454C2211yescharacteristic
141#19098452C2211yescharacteristic
142#19098451C2211yescharacteristic
143#19098451C2211yescharacteristic, complemented
144#19098451C2211yescharacteristic, complemented
145#19098451C2211yescharacteristic, complemented
146#19098451C2211yescharacteristic, complemented
147#19098451C2211yescharacteristic, complemented
148#19098449C2211yescharacteristic, complemented
149#19098448C2211yescharacteristic, complemented
150#19098448C2211yescharacteristic, complemented
151#19098443C2211yescharacteristic
152#19098443C2211yescharacteristic
153#19098442C2211yescharacteristic
154#19098441C2211yescharacteristic
155#19098441C2211yescharacteristic
156#19098441C2211yescharacteristic
157#19098439C2211yescharacteristic
158#19098439C2211yescharacteristic, complemented
159#19098438C2211yescharacteristic, complemented
160#19098438C2211yescharacteristic, complemented
161#19098437C2211yescharacteristic
162#19098437C2211yescharacteristic, complemented
163#19098436C2211yescharacteristic, complemented
164#19098436C2211yescharacteristic, complemented
165#19098434C2211yescharacteristic, complemented
166#19098433C2211yescharacteristic, complemented
167#19098423C2211yescharacteristic, complemented
168#19098422C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170#19098414C2211yescharacteristic, complemented
171#19098410C2211yescharacteristic
172#19098410C2211yescharacteristic, complemented
173#19098408C2211yescharacteristic, complemented
174C2×#127×C79C2211yescharacteristic
175C2×#123×C79C2211yescharacteristic
176C2×#121×C79C2211yescharacteristic, complemented
177C2×#121×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#394×C79C2211yescharacteristic, complemented
180#392×C79C2211yescharacteristic
181#392×C79C2211yescharacteristic
182#392×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#387×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
187#386×C79C2211yescharacteristic, complemented
188#386×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C22×Dic158C2311yescharacteristic
191C22×D316C2311yescharacteristic
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
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C23×Dic79C2311yescharacteristic
208C22×C4×D79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213#14579157—24no—
214#14579156—24no—
215#14579154—24no—
216#14579152—24no—
217#14579147—24no—
218#14579147—24no—
219#14579146—24no—
220#14579145—24no—
221#14579145—24no—
222#14579143—24no—
223#14579143—24no—
224#14579143—42no—
225#14579143—42no—
226#14579141—24no—
227#14579138—42no—
228#14579138—42no—
229#14579135—24no—
230#14579135—24no—
231#14579134—24no—
232#14579134—42no—
233#14579133—24no—
234#14579133—24no—
235#14579133—42no—
236#14579133—42no—
237#14579132—24no—
238#14579132—24no—
239#14579132—24no—
240#14579132—42no—
241#14579132—42no—
242#14579132—42no—
243#14579132—42no—
244#14579131—24no—
245#14579129—24no—
246#14579129—42no—
247#14579129—42no—
248#14579129—42no—
249D4×Dic79—24no—
250#14579123D418yescomplemented
251C4×C22⋊D79—24no—
252#14579120—24no—
253#14579119—42no—
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×C4⋊Dic79C2311yescharacteristic
261C2×C4⋊Dic79C2311yescharacteristic
262C2×C4⋊Dic79C2311yescharacteristic
263C2×C4⋊Dic79C2311yescharacteristic
264C2×C4⋊Dic79C2311yescharacteristic
265C2×C4⋊Dic79C2311yescharacteristic
266C2×C4⋊Dic79C2311yescharacteristic
267C2×C4⋊Dic79C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×C22⋊Dic79C2311yescharacteristic
296C2×C22⋊Dic79C2311yescharacteristic
297C2×C22⋊Dic79C2311yescharacteristic
298C2×C22⋊Dic79C2311yescharacteristic
299C2×C22⋊Dic79C2311yescharacteristic
300C2×C22⋊Dic79C2311yescharacteristic
301C2×C22⋊Dic79C2311yescharacteristic
302C2×C22⋊Dic79C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C2×(C2×D79)⋊C4C2311yescharacteristic
323C2×(C2×D79)⋊C4C2311yescharacteristic
324C22⋊C4×D79—24no—
325C2×C4×Dic79C2311yescharacteristic
326C2×C4×Dic79C2311yescharacteristic
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C2×C4×Dic79C2311yescharacteristic
330C2×C4×Dic79C2311yescharacteristic
331C2×C4×Dic79C2311yescharacteristic
332C2×C4×Dic79C2311yescharacteristic
333C42×D79—42no—
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
358C22×D4×C79C2311yescharacteristic
359C22×D4×C79C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C23×C4×C79C2311yescharacteristic
363C23×C4×C79C2311yescharacteristic
364#127×C79—42no—
365#123×C79—24no—
366#121×C79—24no—
367#121×C79—42no—
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C42×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79C2411yescharacteristic
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401C2×Dic158—22no—
402C2×Dic158—41no—
403C2×Dic158—41no—
404C2×D316—22no—
405C2×D316—41no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316C2×D414yes—
410C2×C22⋊D79—22no—
411C2×C22⋊D79—22no—
412C2×C22⋊D79—22no—
413C2×C22⋊D79—22no—
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—41no—
422C2×C22⋊D79—41no—
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⋊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—
438C2×C22⋊D79—41no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C2×C22⋊D79—41no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
449C22×Dic79—22no—
450C22×Dic79—22no—
451C22×Dic79—41no—
452C22×Dic79—41no—
453C22×Dic79—41no—
454C22×Dic79—41no—
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—22no—
471C2×C4×D79—22no—
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×D79C2×D414yes—
482C2×C4×D79C2×D414yes—
483C4⋊Dic79—22no—
484C4⋊Dic79—22no—
485C4⋊Dic79—22no—
486C4⋊Dic79—22no—
487C4⋊Dic79—22no—
488C4⋊Dic79—22no—
489C4⋊Dic79—22no—
490C4⋊Dic79—22no—
491C4⋊Dic79—22no—
492C4⋊Dic79—41no—
493C4⋊Dic79—41no—
494C4⋊Dic79—41no—
495C4⋊Dic79—41no—
496C4⋊Dic79—41no—
497Dic79⋊C4—22no—
498Dic79⋊C4—22no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—22no—
503Dic79⋊C4—22no—
504Dic79⋊C4—41no—
505Dic79⋊C4—41no—
506Dic79⋊C4—41no—
507Dic79⋊C4—41no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—22no—
511C22⋊Dic79—22no—
512C22⋊Dic79—22no—
513C22⋊Dic79—22no—
514C22⋊Dic79—22no—
515C22⋊Dic79—22no—
516C22⋊Dic79—22no—
517C22⋊Dic79—22no—
518C22⋊Dic79—22no—
519C22⋊Dic79—41no—
520C22⋊Dic79—41no—
521C22⋊Dic79—41no—
522C22⋊Dic79—41no—
523C22⋊Dic79—41no—
524C22⋊Dic79—41no—
525C22⋊Dic79—41no—
526C22⋊Dic79—41no—
527C22⋊Dic79—41no—
528C22⋊Dic79—41no—
529C22⋊Dic79—41no—
530C22⋊Dic79—41no—
531C22⋊Dic79—41no—
532(C2×D79)⋊C4—22no—
533(C2×D79)⋊C4—22no—
534(C2×D79)⋊C4—22no—
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—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)⋊C4C2×D414yes—
552(C2×D79)⋊C4C2×D414yes—
553C4×Dic79—22no—
554C4×Dic79—22no—
555C4×Dic79—22no—
556C4×Dic79—41no—
557C4×Dic79—41no—
558C4×Dic79—41no—
559C4×Dic79—41no—
560C4×Dic79C2×D414yes—
561C24×C79C2411yescharacteristic
562C24×C79C2411yescharacteristic
563C24×C79C2411yescharacteristic
564C24×C79C2411yescharacteristic
565C24×C79C2411yescharacteristic
566C2×D4×C79—22no—
567C2×D4×C79—22no—
568C2×D4×C79—22no—
569C2×D4×C79—22no—
570C2×D4×C79—22no—
571C2×D4×C79—22no—
572C2×D4×C79—22no—
573C2×D4×C79—22no—
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—
581C2×D4×C79—41no—
582C2×D4×C79—41no—
583C2×D4×C79—41no—
584C2×D4×C79—41no—
585C2×D4×C79—41no—
586C2×D4×C79—41no—
587C2×D4×C79—41no—
588C2×D4×C79—41no—
589C2×D4×C79—41no—
590C2×D4×C79—41no—
591C2×D4×C79—41no—
592C2×D4×C79—41no—
593C2×D4×C79—41no—
594C2×D4×C79—41no—
595C2×D4×C79—41no—
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×C79C2411yescharacteristic
603C22×C4×C79C2411yescharacteristic
604C22×C4×C79C2411yescharacteristic
605C22×C4×C79C2411yescharacteristic
606C22×C4×C79C2411yescharacteristic
607C22×C4×C79C2411yescharacteristic
608C22×C4×C79C2411yescharacteristic
609C22×C4×C79C2411yescharacteristic
610C22×C4×C79C2411yescharacteristic
611C22×C4×C79C2411yescharacteristic
612C4⋊C4×C79—22no—
613C4⋊C4×C79—22no—
614C4⋊C4×C79C2×D414yes—
615C22⋊C4×C79—22no—
616C22⋊C4×C79—22no—
617C22⋊C4×C79—22no—
618C22⋊C4×C79—22no—
619C22⋊C4×C79—22no—
620C22⋊C4×C79—22no—
621C22⋊C4×C79—22no—
622C22⋊C4×C79—41no—
623C22⋊C4×C79—41no—
624C22⋊C4×C79—41no—
625C22⋊C4×C79—41no—
626C22⋊C4×C79—41no—
627C22⋊C4×C79—41no—
628C42×C79—22no—
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×C79—21no—
648C23×C79—21no—
649C23×C79—21no—
650C23×C79—21no—
651C23×C79—21no—
652C23×C79—21no—
653C23×C79—21no—
654C23×C79—21no—
655C23×C79—21no—
656C23×C79—21no—
657C23×C79—21no—
658C23×C79—21no—
659C23×C79—21no—
660C23×C79—21no—
661C23×C79—21no—
662C23×C79—21no—
663C23×C79—21no—
664C23×C79C2511yescharacteristic
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—21no—
669C22×D79—21no—
670C22×D79—21no—
671C22×D79—21no—
672C22×D79—21no—
673C22×D79—21no—
674C22×D79—21no—
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—21no—
678C22×D79—21no—
679C22×D79—21no—
680C22×D79—21no—
681C22×D79—21no—
682C22×D79—21no—
683C22×D79—21no—
684C22×D79—44no—
685C22×D79—82no—
686C22×D79—82no—
687C22×D79—82no—
688C22×D79—82no—
689C22×D79—82no—
690C22×D79—82no—
691C22×D79C22×D412yes—
692C22×D79C22×D412yes—
693D4×C79—44no—
694D4×C79—82no—
695D4×C79—82no—
696D4×C79—82no—
697D4×C79—82no—
698D4×C79—82no—
699D4×C79—82no—
700D4×C79—82no—
701D4×C79—82no—
702D4×C79—82no—
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—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—44no—
729C2×C4×C79—82no—
730C2×C4×C79C22×D412yes—
731C2×C4×C79C22×D412yes—
732C2×C4×C79C22×D412yes—
733C2×C4×C79H(5,𝔽2)12yes—
734C2×C4×C79H(5,𝔽2)12yes—
735C22⋊D79—44no—
736C22⋊D79—82no—
737C22⋊D79—82no—
738C22⋊D79—82no—
739C22⋊D79—82no—
740C22⋊D79—82no—
741C22⋊D79—82no—
742C22⋊D79—82no—
743C22⋊D79—82no—
744C22⋊D79—82no—
745C22⋊D79—82no—
746C22⋊D79—82no—
747C22⋊D79—82no—
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—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—21no—
782C2×Dic79—21no—
783C2×Dic79—21no—
784C2×Dic79—82no—
785C2×Dic79—82no—
786C2×Dic79C22×D412yes—
787C2×Dic79C22×D412yes—
788C2×Dic79H(5,𝔽2)12yes—
789D316—44no—
790D316—82no—
791C4×D79—44no—
792C4×D79—44no—
793C4×D79—44no—
794C4×D79—44no—
795C4×D79—82no—
796Dic158—82no—
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×C79—41no—
817C22×C79—41no—
818C22×C79—41no—
819C22×C79—41no—
820C22×C79—41no—
821C22×C79—41no—
822C22×C79—41no—
823C22×C79—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79C23×D411yescharacteristic
833C22×C79C2×H(5,𝔽2)11yescharacteristic
834C22×C79C2×H(5,𝔽2)11yescharacteristic
835C22×C79C2×H(5,𝔽2)11yescharacteristic
836C22×C79#58511yescharacteristic
837C22×C79#58511yescharacteristic
838C22×C79#58511yescharacteristic
839C2×D79—22no—
840C2×D79—22no—
841C2×D79—22no—
842C2×D79—22no—
843C2×D79—22no—
844C2×D79—22no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—88no—
861C4×C79—22no—
862C4×C79—22no—
863C4×C79—22no—
864C4×C79—22no—
865C4×C79—22no—
866C4×C79—41no—
867C4×C79—41no—
868C4×C79—41no—
869C4×C79—41no—
870C4×C79—41no—
871Dic79—22no—
872Dic79—22no—
873Dic79—22no—
874Dic79—41no—
875Dic79—41no—
876Dic79—41no—
877Dic79—41no—
878Dic79—41no—
879Dic79—41no—
880Dic79—41no—
881Dic79—41no—
882Dic79—41no—
883Dic79—41no—
884#36744—791nomaximal, Sylow
885C2×C79—81no—
886C2×C79—81no—
887C2×C79—81no—
888C2×C79—81no—
889C2×C79—81no—
890C2×C79#344911yescharacteristic
891C2×C79#349611yescharacteristic
892C2×C79#349811yescharacteristic
893C2×C79#353411yescharacteristic
894C2×C79#354211yescharacteristic
895C2×C79#355111yescharacteristic
896C2×C79#356211yescharacteristic
897D79—42no—
898D79—42no—
899D79—81no—
900C2×#540—791no—
901C2×#538—791no—
902#2856—791no—
903#2854—791no—
904#2721—791no—
905#2714—791no—
906#2694—791no—
907#2681—791no—
908#2680—791no—
909#2678—791no—
910#2676—791no—
911#2675—791no—
912#2673—791no—
913#2673D7911yescharacteristic, complemented
914#2672—791no—
915#2671—791no—
916#2671—791no—
917#2669—791no—
918#2669—791no—
919#2668—791no—
920#2661—791no—
921#2661—791no—
922#2610—791no—
923#2603—791no—
924#2602—791no—
925#2601—791no—
926#2540—791no—
927#2539—791no—
928#2414—791no—
929#2411—791no—
930#2290—791no—
931C79#3674411yescharacteristic, complemented, Sylow
932#540—1588no—
933#538—1588no—
934C2×#127—791no—
935C2×#127C2×D7911yescharacteristic
936C2×#126—791no—
937C2×#126—791no—
938C2×#125—791no—
939C2×#124—791no—
940C2×#124—791no—
941C2×#123—791no—
942C2×#123—791no—
943C2×#123—791no—
944C2×#123—791no—
945C2×#123—791no—
946C2×#123—791no—
947C2×#123—791no—
948C2×#123C2×D7911yescharacteristic
949C2×C22⋊Q8—791no—
950C2×C22⋊Q8—791no—
951C2×C22⋊Q8—791no—
952C2×#121—791no—
953C2×#121—791no—
954C2×#121—791no—
955C2×#121—791no—
956C2×#121—791no—
957C2×#121—791no—
958C2×#121—791no—
959C2×#121—791no—
960C2×#121—791no—
961C2×#121—791no—
962C2×#121—791no—
963C2×#121—791no—
964C2×#121—791no—
965C2×#121—791no—
966C2×#121—791no—
967C2×#121C2×D7911yescharacteristic, complemented
968C2×#121C2×D7911yescharacteristic, complemented
969C2×#120—791no—
970C2×#120—791no—
971C2×#120—791no—
972C2×#120—791no—
973C2×#120—791no—
974C2×C4×D4—791no—
975C2×C4×D4—791no—
976C2×C4×D4—791no—
977C2×#117—791no—
978C2×#117—791no—
979C22×C22⋊C4—791no—
980C22×C42—791no—
981#399—791no—
982#399—791no—
983#399—791no—
984#399—791no—
985#398—791no—
986#398—791no—
987#398—791no—
988#398—791no—
989#397—791no—
990#397—791no—
991#397—791no—
992#397—791no—
993#396—791no—
994#396—791no—
995#396—791no—
996#396—791no—
997#395—791no—
998#394—791no—
999#394—791no—
1000#394—791no—
1001#394—791no—
1002#394—791no—
1003#394—791no—
1004#394—791no—
1005#394—791no—
1006#394—791no—
1007#394—791no—
1008#394—791no—
1009#394—791no—
1010#394—791no—
1011#394C2×D7911yescharacteristic
1012#394C2×D7911yescharacteristic, complemented
1013#393—791no—
1014#392—791no—
1015#392—791no—
1016#392—791no—
1017#392—791no—
1018#392—791no—
1019#392—791no—
1020#392—791no—
1021#392—791no—
1022#392—791no—
1023#392—791no—
1024#392—791no—
1025#392C2×D7911yescharacteristic
1026#392C2×D7911yescharacteristic
1027#392C2×D7911yescharacteristic
1028#392C2×D7911yescharacteristic, complemented
1029#390—791no—
1030#390—791no—
1031#390—791no—
1032#390—791no—
1033#390—791no—
1034#390—791no—
1035#390—791no—
1036#390—791no—
1037#390—791no—
1038#390—791no—
1039#390—791no—
1040#390—791no—
1041#390—791no—
1042#389—791no—
1043#389—791no—
1044#389—791no—
1045#388—791no—
1046#388—791no—
1047#388—791no—
1048#388—791no—
1049#388—791no—
1050#388—791no—
1051#388—791no—
1052#388—791no—
1053#388—791no—
1054#388—791no—
1055#388—791no—
1056#388—791no—
1057#388—791no—
1058#388C2×D7911yescharacteristic, complemented
1059#387—791no—
1060#387—791no—
1061#387—791no—
1062#387C2×D7911yescharacteristic, complemented
1063#386—791no—
1064#386—791no—
1065#386—791no—
1066#386—791no—
1067#386—791no—
1068#386—791no—
1069#386—791no—
1070#386—791no—
1071#386C2×D7911yescharacteristic
1072#386C2×D7911yescharacteristic, complemented
1073#386C2×D7911yescharacteristic, complemented
1074#385—791no—
1075#385—791no—
1076#385—791no—
1077#385—791no—
1078#385—791no—
1079#385—791no—
1080#385—791no—
1081#384—791no—
1082#380—791no—
1083#380—791no—
1084#379—791no—
1085C4×C4⋊C4—791no—
1086C4×C22⋊C4—791no—
1087C4×C22⋊C4—791no—
1088#376—791no—
1089C25—791no—
1090C22×Q8—791no—
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—791no—
1099C22×D4—791no—
1100C22×D4—791no—
1101C22×D4—791no—
1102C22×D4—791no—
1103C22×D4—791no—
1104C22×D4—791no—
1105C22×D4—791no—
1106C22×D4C22×D7911yescharacteristic
1107C22×D4C22×D7911yescharacteristic
1108C22×D4C22×D7911yescharacteristic
1109C22×D4C22×D7911yescharacteristic
1110C22×D4C22×D7911yescharacteristic
1111C22×D4C22×D7911yescharacteristic
1112C22×D4C22×D7911yescharacteristic
1113C22×D4C22×D7911yescharacteristic
1114C22×D4C22×D7911yescharacteristic
1115C22×D4C22×D7911yescharacteristic
1116C23×C4—791no—
1117C23×C4—791no—
1118C23×C4—791no—
1119C23×C4—791no—
1120C23×C4—791no—
1121C23×C4—791no—
1122C23×C4—791no—
1123C23×C4C22×D7911yescharacteristic
1124C23×C4C22×D7911yescharacteristic
1125#127—42no—
1126#127—1584no—
1127#126—1584no—
1128#126—1584no—
1129#125—1584no—
1130#124—1584no—
1131#124—1584no—
1132#123—24no—
1133#123—3162no—
1134#123—3162no—
1135#123—1584no—
1136#123—1584no—
1137#123—1584no—
1138#123—1584no—
1139#123—1584no—
1140C22⋊Q8—3162no—
1141C22⋊Q8—3162no—
1142C22⋊Q8—1584no—
1143#121—24no—
1144#121—42no—
1145#121—3162no—
1146#121—3162no—
1147#121—3162no—
1148#121—3162no—
1149#121—3162no—
1150#121—3162no—
1151#121—3162no—
1152#121—1584no—
1153#121—1584no—
1154#121—1584no—
1155#121—1584no—
1156#121—1584no—
1157#121—1584no—
1158#121—1584no—
1159#121—1584no—
1160#120—3162no—
1161#120—3162no—
1162#120—3162no—
1163#120—1584no—
1164#120—1584no—
1165C4×D4—798no—
1166C4×D4—1584no—
1167C4×D4—1584no—
1168#117—3162no—
1169#117—1584no—
1170C2×C4⋊C4—791no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—791no—
1173C2×C4⋊C4—791no—
1174C2×C4⋊C4—791no—
1175C2×C4⋊C4—791no—
1176C2×C4⋊C4—791no—
1177C2×C4⋊C4—791no—
1178C2×C4⋊C4—791no—
1179C2×C4⋊C4—791no—
1180C2×C4⋊C4—791no—
1181C2×C4⋊C4—791no—
1182C2×C4⋊C4—791no—
1183C2×C4⋊C4—791no—
1184C2×C4⋊C4—791no—
1185C2×C4⋊C4—791no—
1186C2×C4⋊C4—791no—
1187C2×C4⋊C4—791no—
1188C2×C4⋊C4—791no—
1189C2×C4⋊C4—791no—
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4C22×D7911yescharacteristic
1196C2×C4⋊C4C22×D7911yescharacteristic
1197C2×C4⋊C4C22×D7911yescharacteristic
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—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—791no—
1228C2×C22⋊C4—791no—
1229C2×C22⋊C4—791no—
1230C2×C22⋊C4—791no—
1231C2×C22⋊C4—791no—
1232C2×C22⋊C4—791no—
1233C2×C22⋊C4—791no—
1234C2×C22⋊C4—791no—
1235C2×C22⋊C4—791no—
1236C2×C22⋊C4—791no—
1237C2×C22⋊C4—791no—
1238C2×C22⋊C4—791no—
1239C2×C22⋊C4—791no—
1240C2×C22⋊C4—791no—
1241C2×C22⋊C4—791no—
1242C2×C22⋊C4—791no—
1243C2×C22⋊C4—1584no—
1244C2×C22⋊C4C22×D7911yescharacteristic
1245C2×C22⋊C4C22×D7911yescharacteristic
1246C2×C22⋊C4C22×D7911yescharacteristic
1247C2×C22⋊C4C22×D7911yescharacteristic
1248C2×C22⋊C4C22×D7911yescharacteristic
1249C2×C22⋊C4C22×D7911yescharacteristic
1250C2×C22⋊C4C22×D7911yescharacteristic
1251C2×C22⋊C4C22×D7911yescharacteristic
1252C2×C22⋊C4C22×D7911yescharacteristic
1253C2×C22⋊C4C22×D7911yescharacteristic
1254C2×C22⋊C4C22×D7911yescharacteristic
1255C2×C22⋊C4C22×D7911yescharacteristic
1256C2×C22⋊C4C22×D7911yescharacteristic
1257C2×C42—3162no—
1258C2×C42—791no—
1259C2×C42—791no—
1260C2×C42—791no—
1261C2×C42—791no—
1262C2×C42—791no—
1263C2×C42—791no—
1264C2×C42—791no—
1265C2×C42—791no—
1266C2×C42C22×D7911yescharacteristic
1267#95—791no—
1268#95—791no—
1269#95—791no—
1270#95—791no—
1271#95—791no—
1272#95—791no—
1273#95—791no—
1274#95—791no—
1275#95—791no—
1276#95—791no—
1277#95—791no—
1278#95—791no—
1279#95—791no—
1280#95—791no—
1281#95—791no—
1282#95—791no—
1283#95—791no—
1284#95—791no—
1285#95C22×D7911yescharacteristic
1286#95C22×D7911yescharacteristic
1287#95C22×D7911yescharacteristic
1288#95C22×D7911yescharacteristic
1289#95C22×D7911yescharacteristic
1290#95C22×D7911yescharacteristic
1291C24—3161no—
1292C24—3161no—
1293C24—3161no—
1294C24—3161no—
1295C24—3161no—
1296C24—3161no—
1297C24—791no—
1298C24—791no—
1299C24—791no—
1300C24—1582no—
1301C24C23×D7911yescharacteristic
1302C24C23×D7911yescharacteristic
1303C24C23×D7911yescharacteristic
1304C24C23×D7911yescharacteristic
1305C24C23×D7911yescharacteristic
1306C2×Q8—3161no—
1307C2×Q8—3161no—
1308C2×Q8—1582no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—3161no—
1340C2×D4—3161no—
1341C2×D4—3161no—
1342C2×D4—3161no—
1343C2×D4—3161no—
1344C2×D4—3161no—
1345C2×D4—3161no—
1346C2×D4—3161no—
1347C2×D4—3161no—
1348C2×D4—3161no—
1349C2×D4—3161no—
1350C2×D4—3161no—
1351C2×D4—3161no—
1352C2×D4—3161no—
1353C2×D4—3161no—
1354C2×D4—3161no—
1355C2×D4—3161no—
1356C2×D4—3161no—
1357C2×D4—3161no—
1358C2×D4—3161no—
1359C2×D4—3161no—
1360C2×D4—3161no—
1361C2×D4—3161no—
1362C2×D4—3161no—
1363C2×D4—3161no—
1364C2×D4—3161no—
1365C2×D4—3161no—
1366C2×D4—3161no—
1367C2×D4—3161no—
1368C2×D4—3161no—
1369C2×D4—3161no—
1370C2×D4—3161no—
1371C2×D4—794no—
1372C2×D4—1582no—
1373C2×D4—1582no—
1374C2×D4—1582no—
1375C2×D4—1582no—
1376C2×D4—1582no—
1377C2×D4—1582no—
1378C2×D4—1582no—
1379C2×D4—1582no—
1380C2×D4—1582no—
1381C2×D4—1582no—
1382C2×D4—1582no—
1383C2×D4—1582no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—3161no—
1391C22×C4—3161no—
1392C22×C4—3161no—
1393C22×C4—3161no—
1394C22×C4—3161no—
1395C22×C4—3161no—
1396C22×C4—3161no—
1397C22×C4—3161no—
1398C22×C4—3161no—
1399C22×C4—3161no—
1400C22×C4—3161no—
1401C22×C4—3161no—
1402C22×C4—3161no—
1403C22×C4—794no—
1404C22×C4—794no—
1405C22×C4—791no—
1406C22×C4—791no—
1407C22×C4—791no—
1408C22×C4—791no—
1409C22×C4—791no—
1410C22×C4—791no—
1411C22×C4—791no—
1412C22×C4—791no—
1413C22×C4—791no—
1414C22×C4—791no—
1415C22×C4—791no—
1416C22×C4—791no—
1417C22×C4—791no—
1418C22×C4—1582no—
1419C22×C4—1582no—
1420C22×C4—1582no—
1421C22×C4—1582no—
1422C22×C4—1582no—
1423C22×C4—1582no—
1424C22×C4C23×D7911yescharacteristic
1425C22×C4C23×D7911yescharacteristic
1426C22×C4C23×D7911yescharacteristic
1427C22×C4C23×D7911yescharacteristic
1428C22×C4C23×D7911yescharacteristic
1429C22×C4C23×D7911yescharacteristic
1430C22×C4C23×D7911yescharacteristic
1431C22×C4C23×D7911yescharacteristic
1432C22×C4C23×D7911yescharacteristic
1433C22×C4C23×D7911yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—3161no—
1437C4⋊C4—3161no—
1438C4⋊C4—3161no—
1439C4⋊C4—3161no—
1440C4⋊C4—3161no—
1441C4⋊C4—3161no—
1442C4⋊C4—3161no—
1443C4⋊C4—3161no—
1444C4⋊C4—3161no—
1445C4⋊C4—1582no—
1446C4⋊C4—1582no—
1447C4⋊C4—1582no—
1448C4⋊C4—1582no—
1449C4⋊C4—1582no—
1450C4⋊C4—1582no—
1451C4⋊C4—1582no—
1452C4⋊C4—1582no—
1453C4⋊C4—1582no—
1454C4⋊C4—1582no—
1455C4⋊C4—1582no—
1456C4⋊C4—1582no—
1457C4⋊C4—1582no—
1458C4⋊C4—1582no—
1459C4⋊C4—1582no—
1460C4⋊C4—1582no—
1461C4⋊C4D4×D7914yes—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—3161no—
1476C22⋊C4—3161no—
1477C22⋊C4—3161no—
1478C22⋊C4—3161no—
1479C22⋊C4—3161no—
1480C22⋊C4—3161no—
1481C22⋊C4—3161no—
1482C22⋊C4—3161no—
1483C22⋊C4—3161no—
1484C22⋊C4—3161no—
1485C22⋊C4—3161no—
1486C22⋊C4—3161no—
1487C22⋊C4—3161no—
1488C22⋊C4—3161no—
1489C22⋊C4—3161no—
1490C22⋊C4—3161no—
1491C22⋊C4—3161no—
1492C22⋊C4—3161no—
1493C22⋊C4—3161no—
1494C22⋊C4—794no—
1495C22⋊C4—794no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C22⋊C4—1582no—
1499C22⋊C4—1582no—
1500C22⋊C4—1582no—
1501C22⋊C4—1582no—
1502C22⋊C4—1582no—
1503C22⋊C4—1582no—
1504C22⋊C4—1582no—
1505C22⋊C4—1582no—
1506C22⋊C4—1582no—
1507C22⋊C4—1582no—
1508C22⋊C4—1582no—
1509C22⋊C4—1582no—
1510C22⋊C4—1582no—
1511C22⋊C4—1582no—
1512C22⋊C4—1582no—
1513C22⋊C4—1582no—
1514C22⋊C4—1582no—
1515C22⋊C4—1582no—
1516C22⋊C4—1582no—
1517C22⋊C4—1582no—
1518C22⋊C4—1582no—
1519C22⋊C4—1582no—
1520C42—22no—
1521C42—3161no—
1522C42—3161no—
1523C42—3161no—
1524C42—3161no—
1525C42—794no—
1526C42—1582no—
1527C42—1582no—
1528C42—1582no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—3164no—
1565C23—792no—
1566C23—792no—
1567C23—6322no—
1568C23—6322no—
1569C23—6322no—
1570C23—6322no—
1571C23—6322no—
1572C23—6322no—
1573C23—1581no—
1574C23—1581no—
1575C23—1581no—
1576C23—1581no—
1577C23—1581no—
1578C23—1581no—
1579C23—1581no—
1580C23—1581no—
1581C23—1581no—
1582C23—1581no—
1583C23—1581no—
1584C23—1581no—
1585C23—1581no—
1586C23—1581no—
1587C23—1581no—
1588C23—1581no—
1589C23—1581no—
1590C23—1581no—
1591C23—1581no—
1592C23C24×D7911yescharacteristic
1593Q8—6322no—
1594D4—44no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—3164no—
1605D4—3164no—
1606D4—6322no—
1607D4—6322no—
1608D4—6322no—
1609D4—6322no—
1610D4—6322no—
1611D4—6322no—
1612D4—6322no—
1613D4—6322no—
1614D4—6322no—
1615D4—6322no—
1616D4—6322no—
1617D4—6322no—
1618D4—6322no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—44no—
1645C2×C4—82no—
1646C2×C4—3164no—
1647C2×C4—3164no—
1648C2×C4—3164no—
1649C2×C4—3164no—
1650C2×C4—792no—
1651C2×C4—792no—
1652C2×C4—792no—
1653C2×C4—6322no—
1654C2×C4—6322no—
1655C2×C4—6322no—
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×C4—1581no—
1672C2×C4—1581no—
1673C2×C4—1581no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4—1581no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4C2×D4×D7912yes—
1693C2×C4C2×D4×D7912yes—
1694C2×C4C2×D4×D7912yes—
1695C2×C4#1457920612yes—
1696C2×C4#1457920712yes—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—3161no—
1733C22—3161no—
1734C22—3161no—
1735C22—3161no—
1736C22—3161no—
1737C22—3161no—
1738C22—3161no—
1739C22—3161no—
1740C22—3161no—
1741C22—3161no—
1742C22—3161no—
1743C22—3161no—
1744C22—3161no—
1745C22—3161no—
1746C22—3161no—
1747C22—6328no—
1748C22—1582no—
1749C22—1582no—
1750C22—1582no—
1751C22—1582no—
1752C22—1582no—
1753C22—1582no—
1754C22C22×D4×D7911yescharacteristic
1755C22H(5,𝔽2)×D7911yescharacteristic
1756C22C2×#1457920611yescharacteristic
1757C22C2×#1457920711yescharacteristic
1758C22#1909939811yescharacteristic
1759C22#1909939811yescharacteristic
1760C22#1909939811yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—3161no—
1772C4—3161no—
1773C4—3161no—
1774C4—3161no—
1775C4—3161no—
1776C4—3161no—
1777C4—3161no—
1778C4—3161no—
1779C4—3161no—
1780C4—3161no—
1781C4—1582no—
1782C4—1582no—
1783C4—1582no—
1784C2—81no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—3162no—
1790C2—3162no—
1791C2—6321no—
1792C2#2377673111yescharacteristic
1793C2#2377715611yescharacteristic
1794C2#2377717711yescharacteristic
1795C2#2377758011yescharacteristic
1796C2#2377770211yescharacteristic
1797C2#2377781911yescharacteristic
1798C2#2377799011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2673C2
hypercenter#2673D79
hypocenterC79#36744
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#19099166C2semidirect
2. C2×#19099149C2semidirect
3. #23771742C2semidirect
4. #23771727C2semidirect
5. #23770293C2semidirect
6. #23770190C2semidirect
7. #23769916C2semidirect
8. #23769751C2semidirect
9. #23769738C2semidirect
10. #23769718C2semidirect
11. #23769706C2semidirect
12. #23769690C2semidirect
13. #23769671C2semidirect
14. #23769657C2semidirect
15. #23769637C2semidirect
16. #23769634C2semidirect
17. #23769619C2semidirect
18. #23769613C2semidirect
19. #23769606C2semidirect
20. #23769535C2semidirect
21. #23769531C2semidirect
22. #23769083C2semidirect
23. #23769020C2semidirect
24. #23769008C2semidirect
25. #23768993C2semidirect
26. #23768333C2semidirect
27. #23768325C2semidirect
28. #23766814C2semidirect
29. #23766778C2semidirect
30. #23765838C2semidirect
31. C79×#2673C2semidirect
37. C2×#14579152C22semidirect
42. C2×#14579145C22semidirect
46. C2×#14579143C22semidirect
48. C2×#14579138C22semidirect
49. C2×#14579138C22semidirect
57. C2×#14579133C22semidirect
62. C2×#14579132C22semidirect
63. C2×#14579132C22semidirect
64. C2×#14579132C22semidirect
70. C2×D4×Dic79C22semidirect
73. C2×#14579120C22semidirect
76. C2×C42×D79C22semidirect
80. #19098499C22semidirect
81. #19098495C22semidirect
82. #19098495C22semidirect
83. #19098495C22semidirect
84. #19098493C22semidirect
88. #19098488C22semidirect
91. #19098486C22semidirect
93. #19098484C22semidirect
99. #19098479C22semidirect
102. #19098478C22semidirect
103. #19098478C22semidirect
106. #19098477C22semidirect
107. #19098475C22semidirect
118. #19098471C22semidirect
123. #19098466C22semidirect
124. #19098466C22semidirect
125. #19098466C22semidirect
126. #19098466C22semidirect
127. #19098466C22semidirect
132. #19098462C22semidirect
133. #19098460C22semidirect
134. #19098458C22semidirect
136. #19098456C22semidirect
143. #19098451C22semidirect
144. #19098451C22semidirect
145. #19098451C22semidirect
146. #19098451C22semidirect
147. #19098451C22semidirect
148. #19098449C22semidirect
149. #19098448C22semidirect
150. #19098448C22semidirect
158. #19098439C22semidirect
159. #19098438C22semidirect
160. #19098438C22semidirect
162. #19098437C22semidirect
163. #19098436C22semidirect
164. #19098436C22semidirect
165. #19098434C22semidirect
166. #19098433C22semidirect
167. #19098423C22semidirect
168. #19098422C22semidirect
170. #19098414C22semidirect
172. #19098410C22semidirect
173. #19098408C22semidirect
176. C2×#121×C79C22semidirect
177. C2×#121×C79C22semidirect
179. #394×C79C22semidirect
183. #392×C79C22semidirect
184. #388×C79C22semidirect
185. #387×C79C22semidirect
187. #386×C79C22semidirect
188. #386×C79C22semidirect
250. #14579123D4semidirect
913. #2673D79semidirect
931. C79#36744semidirect
967. C2×#121C2×D79semidirect
968. C2×#121C2×D79semidirect
1012. #394C2×D79semidirect
1028. #392C2×D79semidirect
1058. #388C2×D79semidirect
1062. #387C2×D79semidirect
1072. #386C2×D79semidirect
1073. #386C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991662
C2×#190991492
#237717422
#237717272
#237702932
#237701902
#237699162
#237697512
#237697382
#237697182
#237697062
#237696902
#237696712
#237696572
#237696372
#237696342
#237696192
#237696132
#237696062
#237695352
#237695312
#237690832
#237690202
#237690082
#237689932
#237683332
#237683252
#237668142
#237667782
#237658382
C79×#26732
#3674479