Finite Group Databasebeta

← #34495658

Subgroups — #34495658

Order 20224.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099145C211yesmaximal, characteristic, complemented
2C2×#19099123C211yesmaximal, characteristic, complemented
3#23771742C211yesmaximal, characteristic, complemented
4#23771698C211yesmaximal, characteristic, complemented
5#23770248C211yesmaximal, characteristic, complemented
6#23770247C211yesmaximal, characteristic, complemented
7#23770149C211yesmaximal, characteristic, complemented
8#23770144C211yesmaximal, characteristic, complemented
9#23770095C211yesmaximal, characteristic, complemented
10#23770092C211yesmaximal, characteristic, complemented
11#23770039C211yesmaximal, characteristic, complemented
12#23770036C211yesmaximal, characteristic, complemented
13#23769790C211yesmaximal, characteristic, complemented
14#23769787C211yesmaximal, characteristic, complemented
15#23769728C211yesmaximal, characteristic, complemented
16#23769725C211yesmaximal, characteristic, complemented
17#23769627C211yesmaximal, characteristic, complemented
18#23769622C211yesmaximal, characteristic, complemented
19#23769613C211yesmaximal, characteristic, complemented
20#23769501C211yesmaximal, characteristic, complemented
21#23769331C211yesmaximal, characteristic, complemented
22#23768359C211yesmaximal, characteristic, complemented
23#23768355C211yesmaximal, characteristic, complemented
24#23766836C211yesmaximal, characteristic, complemented
25#23766833C211yesmaximal, characteristic, complemented
26#23766770C211yesmaximal, characteristic, complemented
27#23766770C211yesmaximal, characteristic, complemented
28#23766767C211yesmaximal, characteristic, complemented
29#23766767C211yesmaximal, characteristic, complemented
30#388×D79C211yesmaximal, characteristic, complemented
31C79×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099145—28no—
35#19099123—28no—
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579154C2211yescharacteristic, complemented
38C2×#14579148C2211yescharacteristic, complemented
39C2×#14579147C2211yescharacteristic, complemented
40C2×#14579147C2211yescharacteristic, complemented
41C2×#14579145C2211yescharacteristic
42C2×#14579144C2211yescharacteristic, complemented
43C2×#14579143C2211yescharacteristic
44C2×#14579143C2211yescharacteristic
45C2×#14579142C2211yescharacteristic
46C2×#14579142C2211yescharacteristic, complemented
47C2×#14579139C2211yescharacteristic, complemented
48C2×#14579134C2211yescharacteristic
49C2×#14579134C2211yescharacteristic
50C2×#14579134C2211yescharacteristic, complemented
51C2×#14579134C2211yescharacteristic, complemented
52C2×#14579133C2211yescharacteristic, complemented
53C2×#14579133C2211yescharacteristic, complemented
54C2×#14579132C2211yescharacteristic
55C2×#14579132C2211yescharacteristic
56C2×#14579132C2211yescharacteristic, complemented
57C2×#14579132C2211yescharacteristic, complemented
58C2×#14579132C2211yescharacteristic, complemented
59C2×#14579132C2211yescharacteristic, complemented
60C2×#14579132C2211yescharacteristic, complemented
61C2×#14579132C2211yescharacteristic, complemented
62C2×#14579132C2211yescharacteristic, complemented
63C2×#14579130C2211yescharacteristic
64C2×#14579129C2211yescharacteristic
65C2×#14579129C2211yescharacteristic
66C2×#14579129C2211yescharacteristic
67C2×#14579129C2211yescharacteristic
68C2×#14579129C2211yescharacteristic, complemented
69C2×#14579129C2211yescharacteristic, complemented
70C2×C4×C22⋊D79C2211yescharacteristic, complemented
71C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
72C2×C4⋊C4×D79C2211yescharacteristic, complemented
73C2×C22⋊C4×D79C2211yescharacteristic
74C2×C22⋊C4×D79C2211yescharacteristic
75C2×C22⋊C4×D79C2211yescharacteristic
76C2×C42×D79C2211yescharacteristic, complemented
77#19098503C2211yescharacteristic, complemented
78#19098502C2211yescharacteristic, complemented
79#19098500C2211yescharacteristic, complemented
80#19098499C2211yescharacteristic, complemented
81#19098499C2211yescharacteristic, complemented
82#19098499C2211yescharacteristic, complemented
83#19098497C2211yescharacteristic, complemented
84#19098495C2211yescharacteristic, complemented
85#19098491C2211yescharacteristic, complemented
86#19098491C2211yescharacteristic, complemented
87#19098491C2211yescharacteristic, complemented
88#19098488C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098486C2211yescharacteristic, complemented
91#19098486C2211yescharacteristic, complemented
92#19098485C2211yescharacteristic, complemented
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic, complemented
100#19098478C2211yescharacteristic, complemented
101#19098477C2211yescharacteristic
102#19098477C2211yescharacteristic
103#19098477C2211yescharacteristic, complemented
104#19098477C2211yescharacteristic, complemented
105#19098477C2211yescharacteristic, complemented
106#19098477C2211yescharacteristic, complemented
107#19098475C2211yescharacteristic, complemented
108#19098475C2211yescharacteristic, complemented
109#19098471C2211yescharacteristic
110#19098471C2211yescharacteristic
111#19098471C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic
115#19098471C2211yescharacteristic, complemented
116#19098471C2211yescharacteristic, complemented
117#19098471C2211yescharacteristic, complemented
118#19098471C2211yescharacteristic, complemented
119#19098467C2211yescharacteristic, complemented
120#19098466C2211yescharacteristic, complemented
121#19098466C2211yescharacteristic, complemented
122#19098466C2211yescharacteristic, complemented
123#19098466C2211yescharacteristic, complemented
124#19098466C2211yescharacteristic, complemented
125#19098466C2211yescharacteristic, complemented
126#19098466C2211yescharacteristic, complemented
127#19098463C2211yescharacteristic, complemented
128#19098463C2211yescharacteristic, complemented
129#19098462C2211yescharacteristic, complemented
130#19098460C2211yescharacteristic, complemented
131#19098457C2211yescharacteristic, complemented
132#19098457C2211yescharacteristic, complemented
133#19098456C2211yescharacteristic, complemented
134#19098456C2211yescharacteristic, complemented
135#19098456C2211yescharacteristic, complemented
136#19098455C2211yescharacteristic, complemented
137#19098455C2211yescharacteristic, complemented
138#19098454C2211yescharacteristic, complemented
139#19098454C2211yescharacteristic, complemented
140#19098453C2211yescharacteristic, complemented
141#19098453C2211yescharacteristic, complemented
142#19098452C2211yescharacteristic, complemented
143#19098451C2211yescharacteristic, complemented
144#19098451C2211yescharacteristic, complemented
145#19098443C2211yescharacteristic, complemented
146#19098443C2211yescharacteristic, complemented
147#19098443C2211yescharacteristic, complemented
148#19098443C2211yescharacteristic, complemented
149#19098442C2211yescharacteristic, complemented
150#19098441C2211yescharacteristic, complemented
151#19098441C2211yescharacteristic, complemented
152#19098439C2211yescharacteristic, complemented
153#19098439C2211yescharacteristic, complemented
154#19098439C2211yescharacteristic, complemented
155#19098439C2211yescharacteristic, complemented
156#19098439C2211yescharacteristic, complemented
157#19098439C2211yescharacteristic, complemented
158#19098439C2211yescharacteristic, complemented
159#19098439C2211yescharacteristic, complemented
160#19098438C2211yescharacteristic, complemented
161#19098438C2211yescharacteristic, complemented
162#19098437C2211yescharacteristic, complemented
163#19098437C2211yescharacteristic, complemented
164#19098433C2211yescharacteristic, complemented
165#19098427C2211yescharacteristic, complemented
166#19098423C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic, complemented
168#19098419C2211yescharacteristic, complemented
169#19098419C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172#95×D79C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×#127×C79C2211yescharacteristic, complemented
175C2×#121×C79C2211yescharacteristic, complemented
176C2×#121×C79C2211yescharacteristic, complemented
177C2×#120×C79C2211yescharacteristic
178C2×#120×C79C2211yescharacteristic, complemented
179C2×#120×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic, complemented
182#392×C79C2211yescharacteristic
183#392×C79C2211yescharacteristic
184#392×C79C2211yescharacteristic, complemented
185#392×C79C2211yescharacteristic, complemented
186#388×C79C2211yescharacteristic, complemented
187#388×C79C2211yescharacteristic, complemented
188#386×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×C22⋊D79—24no—
194C22×C22⋊D79—42no—
195C22×C22⋊D79—42no—
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
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C2×D4×D79—24no—
211C2×D4×D79—42no—
212C2×D4×D79—42no—
213C23×Dic79C2311yescharacteristic
214C23×Dic79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222#14579156—24no—
223#14579154—24no—
224#14579148—24no—
225#14579147—24no—
226#14579147—42no—
227#14579145—24no—
228#14579144—24no—
229#14579143—24no—
230#14579143—24no—
231#14579142—24no—
232#14579142—24no—
233#14579139—24no—
234#14579134—24no—
235#14579134—24no—
236#14579134—42no—
237#14579134—42no—
238#14579133—24no—
239#14579133—42no—
240#14579132—24no—
241#14579132—24no—
242#14579132—24no—
243#14579132—42no—
244#14579132—42no—
245#14579132—42no—
246#14579132—42no—
247#14579132—42no—
248#14579132—42no—
249#14579130—24no—
250#14579129—24no—
251#14579129—24no—
252#14579129—24no—
253#14579129—24no—
254#14579129—42no—
255#14579129—42no—
256C4×C22⋊D79—24no—
257(C22⋊D79)⋊C4—24no—
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
278C4⋊C4×D79—42no—
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×C22⋊Dic79C2311yescharacteristic
304C2×C22⋊Dic79C2311yescharacteristic
305C2×C22⋊Dic79C2311yescharacteristic
306C2×C22⋊Dic79C2311yescharacteristic
307C2×C22⋊Dic79C2311yescharacteristic
308C2×C22⋊Dic79C2311yescharacteristic
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
324C2×(C2×D79)⋊C4C2311yescharacteristic
325C2×(C2×D79)⋊C4C2311yescharacteristic
326C2×(C2×D79)⋊C4C2311yescharacteristic
327C22⋊C4×D79—42no—
328C22⋊C4×D79—42no—
329C22⋊C4×D79D418yescomplemented
330C2×C4×Dic79C2311yescharacteristic
331C2×C4×Dic79C2311yescharacteristic
332C2×C4×Dic79C2311yescharacteristic
333C2×C4×Dic79C2311yescharacteristic
334C2×C4×Dic79C2311yescharacteristic
335C42×D79—42no—
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
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C79⋊#95C2311yescharacteristic
355C79⋊#95C2311yescharacteristic
356C25×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C22×D4×C79C2311yescharacteristic
359C22×D4×C79C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C22×D4×C79C2311yescharacteristic
363C22×D4×C79C2311yescharacteristic
364C22×D4×C79C2311yescharacteristic
365C22×D4×C79C2311yescharacteristic
366C22×D4×C79C2311yescharacteristic
367C22×D4×C79C2311yescharacteristic
368C22×D4×C79C2311yescharacteristic
369C23×C4×C79C2311yescharacteristic
370#127×C79—42no—
371#121×C79—24no—
372#121×C79—42no—
373#120×C79—24no—
374#120×C79—42no—
375#120×C79—42no—
376C2×C4⋊C4×C79C2311yescharacteristic
377C2×C4⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C22⋊C4×C79C2311yescharacteristic
387C2×C22⋊C4×C79C2311yescharacteristic
388C2×C22⋊C4×C79C2311yescharacteristic
389C2×C22⋊C4×C79C2311yescharacteristic
390C2×C22⋊C4×C79C2311yescharacteristic
391C2×C22⋊C4×C79C2311yescharacteristic
392C2×C42×C79C2311yescharacteristic
393#95×C79C2311yescharacteristic
394#95×C79C2311yescharacteristic
395#95×C79C2311yescharacteristic
396#95×C79C2311yescharacteristic
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79—41no—
406C23×D79—41no—
407C23×D79—41no—
408C23×D79—41no—
409C23×D79—41no—
410C23×D79C2×D414yes—
411C23×D79C2411yescharacteristic
412C23×D79C2411yescharacteristic
413C23×D79C2411yescharacteristic
414C2×Dic158—22no—
415C2×Dic158—41no—
416C2×Dic158—41no—
417C2×D316—22no—
418C2×D316—22no—
419C2×D316—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—22no—
425C2×C22⋊D79—22no—
426C2×C22⋊D79—22no—
427C2×C22⋊D79—22no—
428C2×C22⋊D79—22no—
429C2×C22⋊D79—22no—
430C2×C22⋊D79—22no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
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—22no—
440C2×C22⋊D79—22no—
441C2×C22⋊D79—22no—
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—416no—
449C2×C22⋊D79—41no—
450C2×C22⋊D79—41no—
451C2×C22⋊D79—41no—
452C2×C22⋊D79—41no—
453C2×C22⋊D79—41no—
454C2×C22⋊D79—41no—
455C2×C22⋊D79—41no—
456C2×C22⋊D79—41no—
457C2×C22⋊D79—41no—
458C2×C22⋊D79—41no—
459C2×C22⋊D79—41no—
460C2×C22⋊D79—41no—
461C2×C22⋊D79—41no—
462C2×C22⋊D79—41no—
463D4×D79—416no—
464C22×Dic79—22no—
465C22×Dic79—22no—
466C22×Dic79—41no—
467C22×Dic79—41no—
468C22×Dic79—41no—
469C22×Dic79—41no—
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2411yescharacteristic
476C22×Dic79C2411yescharacteristic
477C22×Dic79C2411yescharacteristic
478C22×Dic79C2411yescharacteristic
479C22×Dic79C2411yescharacteristic
480C22×Dic79C2411yescharacteristic
481C22×Dic79C2411yescharacteristic
482C22×Dic79C2411yescharacteristic
483C2×C4×D79—22no—
484C2×C4×D79—22no—
485C2×C4×D79—22no—
486C2×C4×D79—22no—
487C2×C4×D79—22no—
488C2×C4×D79—22no—
489C2×C4×D79—22no—
490C2×C4×D79—41no—
491C2×C4×D79—41no—
492C2×C4×D79—41no—
493C2×C4×D79—41no—
494C2×C4×D79—41no—
495C2×C4×D79—41no—
496C2×C4×D79—41no—
497C2×C4×D79—41no—
498C2×C4×D79—41no—
499C2×C4×D79—41no—
500C2×C4×D79—41no—
501C2×C4×D79—41no—
502C2×C4×D79C2×D414yes—
503C2×C4×D79C2×D414yes—
504C4⋊Dic79—22no—
505C4⋊Dic79—22no—
506C4⋊Dic79—22no—
507C4⋊Dic79—41no—
508C4⋊Dic79—41no—
509C4⋊Dic79—41no—
510C4⋊Dic79—41no—
511C4⋊Dic79—41no—
512C4⋊Dic79—41no—
513C4⋊Dic79—41no—
514Dic79⋊C4—22no—
515Dic79⋊C4—22no—
516Dic79⋊C4—22no—
517Dic79⋊C4—22no—
518Dic79⋊C4—22no—
519Dic79⋊C4—22no—
520Dic79⋊C4—22no—
521Dic79⋊C4—41no—
522Dic79⋊C4—41no—
523Dic79⋊C4—41no—
524C22⋊Dic79—22no—
525C22⋊Dic79—22no—
526C22⋊Dic79—22no—
527C22⋊Dic79—22no—
528C22⋊Dic79—22no—
529C22⋊Dic79—22no—
530C22⋊Dic79—22no—
531C22⋊Dic79—22no—
532C22⋊Dic79—22no—
533C22⋊Dic79—41no—
534C22⋊Dic79—41no—
535C22⋊Dic79—41no—
536C22⋊Dic79—41no—
537C22⋊Dic79—41no—
538C22⋊Dic79—41no—
539C22⋊Dic79—41no—
540C22⋊Dic79—41no—
541C22⋊Dic79—41no—
542C22⋊Dic79—41no—
543C22⋊Dic79—41no—
544C22⋊Dic79—41no—
545C22⋊Dic79—41no—
546C22⋊Dic79—41no—
547C22⋊Dic79—41no—
548C22⋊Dic79—41no—
549C22⋊Dic79—41no—
550C22⋊Dic79—41no—
551C22⋊Dic79—41no—
552C22⋊Dic79—41no—
553C22⋊Dic79C2×D414yes—
554(C2×D79)⋊C4—22no—
555(C2×D79)⋊C4—22no—
556(C2×D79)⋊C4—22no—
557(C2×D79)⋊C4—22no—
558(C2×D79)⋊C4—22no—
559(C2×D79)⋊C4—22no—
560(C2×D79)⋊C4—22no—
561(C2×D79)⋊C4—22no—
562(C2×D79)⋊C4—22no—
563(C2×D79)⋊C4—22no—
564(C2×D79)⋊C4—41no—
565(C2×D79)⋊C4—41no—
566(C2×D79)⋊C4—41no—
567(C2×D79)⋊C4—41no—
568(C2×D79)⋊C4—41no—
569(C2×D79)⋊C4—41no—
570(C2×D79)⋊C4C2×D414yes—
571(C2×D79)⋊C4C2×D414yes—
572C4×Dic79—22no—
573C4×Dic79—22no—
574C4×Dic79—22no—
575C4×Dic79—41no—
576C4×Dic79—41no—
577C24×C79—22no—
578C24×C79—41no—
579C24×C79—41no—
580C24×C79—41no—
581C24×C79—41no—
582C24×C79—41no—
583C24×C79—41no—
584C24×C79C2411yescharacteristic
585C24×C79C2411yescharacteristic
586C24×C79C2411yescharacteristic
587C24×C79C2411yescharacteristic
588C24×C79C2411yescharacteristic
589C24×C79C2411yescharacteristic
590C2×D4×C79—22no—
591C2×D4×C79—22no—
592C2×D4×C79—22no—
593C2×D4×C79—22no—
594C2×D4×C79—22no—
595C2×D4×C79—22no—
596C2×D4×C79—22no—
597C2×D4×C79—22no—
598C2×D4×C79—22no—
599C2×D4×C79—22no—
600C2×D4×C79—41no—
601C2×D4×C79—41no—
602C2×D4×C79—41no—
603C2×D4×C79—41no—
604C2×D4×C79—41no—
605C2×D4×C79—41no—
606C2×D4×C79—41no—
607C2×D4×C79—41no—
608C2×D4×C79—41no—
609C2×D4×C79—41no—
610C2×D4×C79—41no—
611C2×D4×C79—41no—
612C2×D4×C79—41no—
613C2×D4×C79—41no—
614C2×D4×C79—41no—
615C2×D4×C79—41no—
616C2×D4×C79—41no—
617C2×D4×C79—41no—
618C2×D4×C79—41no—
619C2×D4×C79—41no—
620C2×D4×C79—41no—
621C2×D4×C79—41no—
622C2×D4×C79—41no—
623C2×D4×C79—41no—
624C2×D4×C79—41no—
625C2×D4×C79—41no—
626C22×C4×C79—22no—
627C22×C4×C79—41no—
628C22×C4×C79—41no—
629C22×C4×C79C2411yescharacteristic
630C22×C4×C79C2411yescharacteristic
631C22×C4×C79C2411yescharacteristic
632C22×C4×C79C2411yescharacteristic
633C22×C4×C79C2411yescharacteristic
634C22×C4×C79C2411yescharacteristic
635C22×C4×C79C2411yescharacteristic
636C22×C4×C79C2411yescharacteristic
637C22×C4×C79C2411yescharacteristic
638C4⋊C4×C79—22no—
639C4⋊C4×C79—22no—
640C22⋊C4×C79—22no—
641C22⋊C4×C79—22no—
642C22⋊C4×C79—22no—
643C22⋊C4×C79—22no—
644C22⋊C4×C79—22no—
645C22⋊C4×C79—22no—
646C22⋊C4×C79—22no—
647C22⋊C4×C79—41no—
648C22⋊C4×C79—41no—
649C22⋊C4×C79—41no—
650C22⋊C4×C79—41no—
651C22⋊C4×C79—41no—
652C22⋊C4×C79—41no—
653C22⋊C4×C79C2×D414yes—
654C42×C79—22no—
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×C79—21no—
665C23×C79—21no—
666C23×C79—21no—
667C23×C79—21no—
668C23×C79—21no—
669C23×C79—21no—
670C23×C79—21no—
671C23×C79—21no—
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79—21no—
677C23×C79—21no—
678C23×C79—21no—
679C23×C79—21no—
680C23×C79—21no—
681C23×C79—21no—
682C23×C79—21no—
683C23×C79—21no—
684C23×C79—21no—
685C23×C79—21no—
686C23×C79—21no—
687C23×C79—21no—
688C23×C79—21no—
689C23×C79—21no—
690C23×C79—21no—
691C23×C79—21no—
692C23×C79—21no—
693C23×C79—21no—
694C23×C79—21no—
695C23×C79—21no—
696C23×C79—44no—
697C23×C79—82no—
698C23×C79—82no—
699C23×C79—82no—
700C23×C79—82no—
701C23×C79—82no—
702C23×C79—82no—
703C23×C79C22×D412yes—
704C23×C79C2511yescharacteristic
705C22×D79—21no—
706C22×D79—21no—
707C22×D79—21no—
708C22×D79—21no—
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—21no—
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—28no—
716C22×D79—21no—
717C22×D79—21no—
718C22×D79—21no—
719C22×D79—21no—
720C22×D79—21no—
721C22×D79—21no—
722C22×D79—21no—
723C22×D79—44no—
724C22×D79—44no—
725C22×D79—44no—
726C22×D79—82no—
727C22×D79—82no—
728C22×D79—82no—
729C22×D79—82no—
730C22×D79—82no—
731C22×D79—82no—
732C22×D79—82no—
733C22×D79—82no—
734C22×D79—82no—
735C22×D79—82no—
736C22×D79C22×D412yes—
737C22×D79C22×D412yes—
738C22×D79H(5,𝔽2)12yes—
739C22×D79H(5,𝔽2)12yes—
740D4×C79—44no—
741D4×C79—82no—
742D4×C79—82no—
743D4×C79—82no—
744D4×C79—82no—
745D4×C79—82no—
746D4×C79—82no—
747D4×C79—82no—
748D4×C79—82no—
749D4×C79—82no—
750D4×C79—82no—
751D4×C79—82no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—82no—
776C2×C4×C79C22×D412yes—
777C2×C4×C79C22×D412yes—
778C2×C4×C79H(5,𝔽2)12yes—
779C2×C4×C79H(5,𝔽2)12yes—
780C22⋊D79—44no—
781C22⋊D79—44no—
782C22⋊D79—44no—
783C22⋊D79—44no—
784C22⋊D79—44no—
785C22⋊D79—44no—
786C22⋊D79—44no—
787C22⋊D79—44no—
788C22⋊D79—82no—
789C22⋊D79—82no—
790C22⋊D79—82no—
791C22⋊D79—82no—
792C22⋊D79—82no—
793C22⋊D79—82no—
794C2×Dic79—21no—
795C2×Dic79—21no—
796C2×Dic79—21no—
797C2×Dic79—21no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—21no—
830C2×Dic79—21no—
831C2×Dic79—44no—
832C2×Dic79—82no—
833C2×Dic79C22×D412yes—
834C2×Dic79C22×D412yes—
835D316—44no—
836C4×D79—44no—
837C4×D79—44no—
838C4×D79—44no—
839C4×D79—44no—
840C4×D79—44no—
841C4×D79—82no—
842C4×D79—82no—
843Dic158—82no—
844C22×C79—22no—
845C22×C79—22no—
846C22×C79—22no—
847C22×C79—41no—
848C22×C79—41no—
849C22×C79—41no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—41no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—41no—
870C22×C79—41no—
871C22×C79—41no—
872C22×C79—41no—
873C22×C79—41no—
874C22×C79—41no—
875C22×C79—41no—
876C22×C79—41no—
877C22×C79—41no—
878C22×C79—41no—
879C22×C79—41no—
880C22×C79—41no—
881C22×C79—41no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79—41no—
886C22×C79—88no—
887C22×C79C23×D411yescharacteristic
888C22×C79C2×H(5,𝔽2)11yescharacteristic
889C22×C79C2×H(5,𝔽2)11yescharacteristic
890C22×C79C2×H(5,𝔽2)11yescharacteristic
891C22×C79C2×H(5,𝔽2)11yescharacteristic
892C22×C79#58511yescharacteristic
893C22×C79#58511yescharacteristic
894C2×D79—22no—
895C2×D79—22no—
896C2×D79—22no—
897C2×D79—22no—
898C2×D79—22no—
899C2×D79—22no—
900C2×D79—22no—
901C2×D79—22no—
902C2×D79—22no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—88no—
915C2×D79—88no—
916C2×D79#53514yes—
917C4×C79—22no—
918C4×C79—22no—
919C4×C79—22no—
920C4×C79—22no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79—41no—
925C4×C79—41no—
926Dic79—22no—
927Dic79—22no—
928Dic79—41no—
929Dic79—41no—
930Dic79—41no—
931Dic79—41no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937Dic79—41no—
938Dic79—41no—
939#36739—791nomaximal, Sylow
940C2×C79—42no—
941C2×C79—81no—
942C2×C79—81no—
943C2×C79—81no—
944C2×C79—81no—
945C2×C79—81no—
946C2×C79C2×#53511yescharacteristic
947C2×C79#349611yescharacteristic
948C2×C79#349611yescharacteristic
949C2×C79#353411yescharacteristic
950C2×C79#353711yescharacteristic
951C2×C79#355811yescharacteristic
952C2×C79#356011yescharacteristic
953D79—24no—
954D79—42no—
955D79—81no—
956C2×#538—791no—
957C2×#534—791no—
958#2856—791no—
959#2850—791no—
960#2718—791no—
961#2718—791no—
962#2710—791no—
963#2710—791no—
964#2706—791no—
965#2706—791no—
966#2703—791no—
967#2703—791no—
968#2685—791no—
969#2685—791no—
970#2678—791no—
971#2678—791no—
972#2670—791no—
973#2670—791no—
974#2669—791no—
975#2669D7911yescharacteristic, complemented
976#2656—791no—
977#2639—791no—
978#2543—791no—
979#2543—791no—
980#2416—791no—
981#2416—791no—
982#2410—791no—
983#2410—791no—
984#2410—791no—
985#2410—791no—
986C2×#388—791no—
987C79#3673911yescharacteristic, complemented, Sylow
988C23×D4—791no—
989C23×D4—791no—
990#538—1588no—
991#534—1588no—
992C2×#127C2×D7911yescharacteristic, complemented
993C2×#126—791no—
994C2×#126—791no—
995C2×#124—791no—
996C2×#124—791no—
997C2×#124—791no—
998C2×#123—791no—
999C2×#123—791no—
1000C2×#123—791no—
1001C2×#123—791no—
1002C2×#123—791no—
1003C2×#123—791no—
1004C2×C22⋊Q8—791no—
1005C2×#121—791no—
1006C2×#121—791no—
1007C2×#121—791no—
1008C2×#121—791no—
1009C2×#121—791no—
1010C2×#121—791no—
1011C2×#121—791no—
1012C2×#121—791no—
1013C2×#121—791no—
1014C2×#121—791no—
1015C2×#121—791no—
1016C2×#121—791no—
1017C2×#121—791no—
1018C2×#121—791no—
1019C2×#121—791no—
1020C2×#121C2×D7911yescharacteristic, complemented
1021C2×#121C2×D7911yescharacteristic, complemented
1022C2×#120—791no—
1023C2×#120—791no—
1024C2×#120—791no—
1025C2×#120—791no—
1026C2×#120—791no—
1027C2×#120—791no—
1028C2×#120—791no—
1029C2×#120C2×D7911yescharacteristic
1030C2×#120C2×D7911yescharacteristic, complemented
1031C2×#120C2×D7911yescharacteristic, complemented
1032C2×C4×D4—791no—
1033C2×C4×D4—791no—
1034C22×C4⋊C4—791no—
1035C22×C22⋊C4—791no—
1036C22×C22⋊C4—791no—
1037C22×C22⋊C4—791no—
1038C22×C42—791no—
1039#400—791no—
1040#400—791no—
1041#399—791no—
1042#399—791no—
1043#399—791no—
1044#399—791no—
1045#398—791no—
1046#398—791no—
1047#397—791no—
1048#397—791no—
1049#397—791no—
1050#397—791no—
1051#396—791no—
1052#396—791no—
1053#396—791no—
1054#396—791no—
1055#394—791no—
1056#394—791no—
1057#394—791no—
1058#394—791no—
1059#394—791no—
1060#394—791no—
1061#394—791no—
1062#394—791no—
1063#394—791no—
1064#394—791no—
1065#394—791no—
1066#394—791no—
1067#394—791no—
1068#394—791no—
1069#394C2×D7911yescharacteristic, complemented
1070#394C2×D7911yescharacteristic, complemented
1071#393—791no—
1072#393—791no—
1073#392—791no—
1074#392—791no—
1075#392—791no—
1076#392—791no—
1077#392—791no—
1078#392—791no—
1079#392—791no—
1080#392—791no—
1081#392—791no—
1082#392—791no—
1083#392C2×D7911yescharacteristic
1084#392C2×D7911yescharacteristic
1085#392C2×D7911yescharacteristic, complemented
1086#392C2×D7911yescharacteristic, complemented
1087#391—791no—
1088#390—791no—
1089#390—791no—
1090#390—791no—
1091#390—791no—
1092#390—791no—
1093#390—791no—
1094#390—791no—
1095#390—791no—
1096#390—791no—
1097#389—791no—
1098#389—791no—
1099#388—791no—
1100#388—791no—
1101#388—791no—
1102#388—791no—
1103#388—791no—
1104#388—791no—
1105#388—791no—
1106#388—791no—
1107#388—791no—
1108#388—791no—
1109#388—791no—
1110#388—791no—
1111#388—791no—
1112#388—791no—
1113#388C2×D7911yescharacteristic, complemented
1114#388C2×D7911yescharacteristic, complemented
1115#386—791no—
1116#386—791no—
1117#386—791no—
1118#386—791no—
1119#386—791no—
1120#386—791no—
1121#386—791no—
1122#386—791no—
1123#386—791no—
1124#386—791no—
1125#386—791no—
1126#386—791no—
1127#386—791no—
1128#386—791no—
1129#386—791no—
1130#386C2×D7911yescharacteristic, complemented
1131#385—791no—
1132#385—791no—
1133#385—791no—
1134#385—791no—
1135#384—791no—
1136#382—791no—
1137#380—791no—
1138#380—791no—
1139#379—791no—
1140#379—791no—
1141#379—791no—
1142#379—791no—
1143C2×#95—791no—
1144C2×#95—791no—
1145C25—791no—
1146C25—791no—
1147C25C22×D7911yescharacteristic
1148C22×Q8—791no—
1149C22×D4—3162no—
1150C22×D4—3162no—
1151C22×D4—3162no—
1152C22×D4—3162no—
1153C22×D4—791no—
1154C22×D4—791no—
1155C22×D4—791no—
1156C22×D4—791no—
1157C22×D4—791no—
1158C22×D4—791no—
1159C22×D4—791no—
1160C22×D4—791no—
1161C22×D4—791no—
1162C22×D4—791no—
1163C22×D4—791no—
1164C22×D4—791no—
1165C22×D4—791no—
1166C22×D4—791no—
1167C22×D4—791no—
1168C22×D4—1584no—
1169C22×D4—1584no—
1170C22×D4C22×D7911yescharacteristic
1171C22×D4C22×D7911yescharacteristic
1172C22×D4C22×D7911yescharacteristic
1173C22×D4C22×D7911yescharacteristic
1174C22×D4C22×D7911yescharacteristic
1175C22×D4C22×D7911yescharacteristic
1176C22×D4C22×D7911yescharacteristic
1177C22×D4C22×D7911yescharacteristic
1178C22×D4C22×D7911yescharacteristic
1179C22×D4C22×D7911yescharacteristic
1180C22×D4C22×D7911yescharacteristic
1181C22×D4C22×D7911yescharacteristic
1182C23×C4—791no—
1183C23×C4—791no—
1184C23×C4—791no—
1185C23×C4—791no—
1186C23×C4—791no—
1187C23×C4—791no—
1188C23×C4—791no—
1189C23×C4—791no—
1190C23×C4—791no—
1191C23×C4C22×D7911yescharacteristic
1192#127—42no—
1193#126—1584no—
1194#126—1584no—
1195#124—3162no—
1196#124—1584no—
1197#124—1584no—
1198#123—1584no—
1199#123—1584no—
1200#123—1584no—
1201#123—1584no—
1202#123—1584no—
1203#123—1584no—
1204C22⋊Q8—1584no—
1205#121—24no—
1206#121—42no—
1207#121—3162no—
1208#121—3162no—
1209#121—3162no—
1210#121—3162no—
1211#121—3162no—
1212#121—3162no—
1213#121—3162no—
1214#121—3162no—
1215#121—3162no—
1216#121—1584no—
1217#121—1584no—
1218#121—1584no—
1219#121—1584no—
1220#121—1584no—
1221#121—1584no—
1222#120—24no—
1223#120—42no—
1224#120—42no—
1225#120—3162no—
1226#120—3162no—
1227#120—1584no—
1228#120—1584no—
1229#120—1584no—
1230#120—1584no—
1231#120—1584no—
1232C4×D4—1584no—
1233C4×D4—1584no—
1234C2×C4⋊C4—3162no—
1235C2×C4⋊C4—791no—
1236C2×C4⋊C4—791no—
1237C2×C4⋊C4—791no—
1238C2×C4⋊C4—791no—
1239C2×C4⋊C4—791no—
1240C2×C4⋊C4—791no—
1241C2×C4⋊C4—791no—
1242C2×C4⋊C4—791no—
1243C2×C4⋊C4—791no—
1244C2×C4⋊C4—791no—
1245C2×C4⋊C4—791no—
1246C2×C4⋊C4—791no—
1247C2×C4⋊C4—791no—
1248C2×C4⋊C4—791no—
1249C2×C4⋊C4—791no—
1250C2×C4⋊C4—791no—
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4—791no—
1254C2×C4⋊C4—791no—
1255C2×C4⋊C4C22×D7911yescharacteristic
1256C2×C4⋊C4C22×D7911yescharacteristic
1257C2×C22⋊C4—3162no—
1258C2×C22⋊C4—3162no—
1259C2×C22⋊C4—791no—
1260C2×C22⋊C4—791no—
1261C2×C22⋊C4—791no—
1262C2×C22⋊C4—791no—
1263C2×C22⋊C4—791no—
1264C2×C22⋊C4—791no—
1265C2×C22⋊C4—791no—
1266C2×C22⋊C4—791no—
1267C2×C22⋊C4—791no—
1268C2×C22⋊C4—791no—
1269C2×C22⋊C4—791no—
1270C2×C22⋊C4—791no—
1271C2×C22⋊C4—791no—
1272C2×C22⋊C4—791no—
1273C2×C22⋊C4—791no—
1274C2×C22⋊C4—791no—
1275C2×C22⋊C4—791no—
1276C2×C22⋊C4—791no—
1277C2×C22⋊C4—791no—
1278C2×C22⋊C4—791no—
1279C2×C22⋊C4—791no—
1280C2×C22⋊C4—791no—
1281C2×C22⋊C4—791no—
1282C2×C22⋊C4—791no—
1283C2×C22⋊C4—791no—
1284C2×C22⋊C4—791no—
1285C2×C22⋊C4—791no—
1286C2×C22⋊C4—791no—
1287C2×C22⋊C4—791no—
1288C2×C22⋊C4—798no—
1289C2×C22⋊C4—791no—
1290C2×C22⋊C4—791no—
1291C2×C22⋊C4—791no—
1292C2×C22⋊C4—791no—
1293C2×C22⋊C4—791no—
1294C2×C22⋊C4—791no—
1295C2×C22⋊C4—791no—
1296C2×C22⋊C4—791no—
1297C2×C22⋊C4—791no—
1298C2×C22⋊C4—791no—
1299C2×C22⋊C4—791no—
1300C2×C22⋊C4—791no—
1301C2×C22⋊C4—791no—
1302C2×C22⋊C4—791no—
1303C2×C22⋊C4—791no—
1304C2×C22⋊C4—791no—
1305C2×C22⋊C4—791no—
1306C2×C22⋊C4—791no—
1307C2×C22⋊C4—791no—
1308C2×C22⋊C4C22×D7911yescharacteristic
1309C2×C22⋊C4C22×D7911yescharacteristic
1310C2×C22⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4C22×D7911yescharacteristic
1312C2×C22⋊C4C22×D7911yescharacteristic
1313C2×C22⋊C4C22×D7911yescharacteristic
1314C2×C22⋊C4C22×D7911yescharacteristic
1315C2×C22⋊C4C22×D7911yescharacteristic
1316C2×C22⋊C4C22×D7911yescharacteristic
1317C2×C22⋊C4C22×D7911yescharacteristic
1318C2×C22⋊C4C22×D7911yescharacteristic
1319C2×C22⋊C4C22×D7911yescharacteristic
1320C2×C22⋊C4C22×D7911yescharacteristic
1321C2×C22⋊C4C22×D7911yescharacteristic
1322C2×C42—3162no—
1323C2×C42—791no—
1324C2×C42—791no—
1325C2×C42—791no—
1326C2×C42—791no—
1327C2×C42—791no—
1328C2×C42C22×D7911yescharacteristic
1329#95—791no—
1330#95—791no—
1331#95—791no—
1332#95—791no—
1333#95—791no—
1334#95—791no—
1335#95—791no—
1336#95—791no—
1337#95—791no—
1338#95—791no—
1339#95—791no—
1340#95—791no—
1341#95—791no—
1342#95—791no—
1343#95—791no—
1344#95—791no—
1345#95—791no—
1346#95—791no—
1347#95—791no—
1348#95—791no—
1349#95C22×D7911yescharacteristic
1350#95C22×D7911yescharacteristic
1351#95C22×D7911yescharacteristic
1352#95C22×D7911yescharacteristic
1353C24—22no—
1354C24—41no—
1355C24—41no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—3161no—
1361C24—3161no—
1362C24—3161no—
1363C24—3161no—
1364C24—3161no—
1365C24—3161no—
1366C24—3161no—
1367C24—3161no—
1368C24—3161no—
1369C24—3161no—
1370C24—794no—
1371C24—791no—
1372C24—791no—
1373C24—791no—
1374C24—1582no—
1375C24—1582no—
1376C24—1582no—
1377C24C23×D7911yescharacteristic
1378C24C23×D7911yescharacteristic
1379C24C23×D7911yescharacteristic
1380C24C23×D7911yescharacteristic
1381C24C23×D7911yescharacteristic
1382C24C23×D7911yescharacteristic
1383C2×Q8—3161no—
1384C2×Q8—3161no—
1385C2×Q8—1582no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—31616no—
1423C2×D4—31616no—
1424C2×D4—3161no—
1425C2×D4—3161no—
1426C2×D4—3161no—
1427C2×D4—3161no—
1428C2×D4—3161no—
1429C2×D4—3161no—
1430C2×D4—3161no—
1431C2×D4—3161no—
1432C2×D4—3161no—
1433C2×D4—3161no—
1434C2×D4—3161no—
1435C2×D4—3161no—
1436C2×D4—3161no—
1437C2×D4—3161no—
1438C2×D4—3161no—
1439C2×D4—3161no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—1582no—
1445C2×D4—1582no—
1446C2×D4—1582no—
1447C2×D4—1582no—
1448C2×D4—1582no—
1449C2×D4—1582no—
1450C2×D4—1582no—
1451C2×D4—1582no—
1452C2×D4—1582no—
1453C2×D4—1582no—
1454C2×D4—1582no—
1455C2×D4—1582no—
1456C2×D4—1582no—
1457C2×D4—1582no—
1458C2×D4—1582no—
1459C2×D4—1582no—
1460C2×D4—1582no—
1461C2×D4—1582no—
1462C2×D4—1582no—
1463C2×D4—1582no—
1464C2×D4—1582no—
1465C2×D4—1582no—
1466C2×D4—1582no—
1467C2×D4—1582no—
1468C2×D4—1582no—
1469C22×C4—22no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—3161no—
1473C22×C4—3161no—
1474C22×C4—3161no—
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—794no—
1489C22×C4—794no—
1490C22×C4—791no—
1491C22×C4—791no—
1492C22×C4—791no—
1493C22×C4—791no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—791no—
1500C22×C4—791no—
1501C22×C4—791no—
1502C22×C4—791no—
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×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515C22×C4C23×D7911yescharacteristic
1516C22×C4C23×D7911yescharacteristic
1517C22×C4C23×D7911yescharacteristic
1518C22×C4C23×D7911yescharacteristic
1519C22×C4C23×D7911yescharacteristic
1520C22×C4C23×D7911yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—3161no—
1524C4⋊C4—3161no—
1525C4⋊C4—3161no—
1526C4⋊C4—3161no—
1527C4⋊C4—3161no—
1528C4⋊C4—3161no—
1529C4⋊C4—3161no—
1530C4⋊C4—3161no—
1531C4⋊C4—3161no—
1532C4⋊C4—3161no—
1533C4⋊C4—1582no—
1534C4⋊C4—1582no—
1535C4⋊C4—1582no—
1536C4⋊C4—1582no—
1537C4⋊C4—1582no—
1538C4⋊C4—1582no—
1539C4⋊C4—1582no—
1540C4⋊C4—1582no—
1541C4⋊C4—1582no—
1542C4⋊C4—1582no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—3161no—
1557C22⋊C4—3161no—
1558C22⋊C4—3161no—
1559C22⋊C4—3161no—
1560C22⋊C4—3161no—
1561C22⋊C4—3161no—
1562C22⋊C4—3161no—
1563C22⋊C4—3161no—
1564C22⋊C4—3161no—
1565C22⋊C4—3161no—
1566C22⋊C4—3161no—
1567C22⋊C4—3161no—
1568C22⋊C4—3161no—
1569C22⋊C4—3161no—
1570C22⋊C4—3161no—
1571C22⋊C4—3161no—
1572C22⋊C4—3161no—
1573C22⋊C4—3161no—
1574C22⋊C4—3161no—
1575C22⋊C4—3161no—
1576C22⋊C4—3161no—
1577C22⋊C4—3161no—
1578C22⋊C4—3161no—
1579C22⋊C4—3161no—
1580C22⋊C4—3161no—
1581C22⋊C4—3161no—
1582C22⋊C4—794no—
1583C22⋊C4—794no—
1584C22⋊C4—794no—
1585C22⋊C4—1582no—
1586C22⋊C4—1582no—
1587C22⋊C4—1582no—
1588C22⋊C4—1582no—
1589C22⋊C4—1582no—
1590C22⋊C4—1582no—
1591C22⋊C4—1582no—
1592C22⋊C4—1582no—
1593C22⋊C4—1582no—
1594C22⋊C4—1582no—
1595C22⋊C4—1582no—
1596C22⋊C4—1582no—
1597C22⋊C4—1582no—
1598C22⋊C4—1582no—
1599C22⋊C4—1582no—
1600C22⋊C4—1582no—
1601C22⋊C4—1582no—
1602C22⋊C4—1582no—
1603C22⋊C4—1582no—
1604C22⋊C4D4×D7914yes—
1605C42—22no—
1606C42—3161no—
1607C42—3161no—
1608C42—1582no—
1609C42—1582no—
1610C42—1582no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—44no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—3164no—
1660C23—3164no—
1661C23—3164no—
1662C23—792no—
1663C23—792no—
1664C23—792no—
1665C23—792no—
1666C23—6322no—
1667C23—6322no—
1668C23—6322no—
1669C23—6322no—
1670C23—6322no—
1671C23—6322no—
1672C23—6322no—
1673C23—6322no—
1674C23—6322no—
1675C23—6322no—
1676C23—1588no—
1677C23—1581no—
1678C23—1581no—
1679C23—1581no—
1680C23—1581no—
1681C23—1581no—
1682C23—1581no—
1683C23—1581no—
1684C23—1581no—
1685C23—1581no—
1686C23—1581no—
1687C23—1581no—
1688C23—1581no—
1689C23—1581no—
1690C23—1581no—
1691C23—1581no—
1692C23—1581no—
1693C23—1581no—
1694C23C2×D4×D7912yes—
1695C23C24×D7911yescharacteristic
1696Q8—6322no—
1697D4—44no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
1706D4—82no—
1707D4—82no—
1708D4—82no—
1709D4—3164no—
1710D4—3164no—
1711D4—3164no—
1712D4—3164no—
1713D4—3164no—
1714D4—3164no—
1715D4—3164no—
1716D4—3164no—
1717D4—3164no—
1718D4—6322no—
1719D4—6322no—
1720D4—6322no—
1721D4—6322no—
1722D4—6322no—
1723D4—6322no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—82no—
1748C2×C4—3164no—
1749C2×C4—3164no—
1750C2×C4—3164no—
1751C2×C4—3164no—
1752C2×C4—3164no—
1753C2×C4—3164no—
1754C2×C4—792no—
1755C2×C4—792no—
1756C2×C4—6322no—
1757C2×C4—6322no—
1758C2×C4—6322no—
1759C2×C4—1581no—
1760C2×C4—1581no—
1761C2×C4—1581no—
1762C2×C4—1581no—
1763C2×C4—1581no—
1764C2×C4—1581no—
1765C2×C4—1581no—
1766C2×C4—1581no—
1767C2×C4—1581no—
1768C2×C4—1581no—
1769C2×C4—1581no—
1770C2×C4—1581no—
1771C2×C4—1581no—
1772C2×C4—1581no—
1773C2×C4—1581no—
1774C2×C4—1581no—
1775C2×C4—1581no—
1776C2×C4—1581no—
1777C2×C4—1581no—
1778C2×C4—1581no—
1779C2×C4—1581no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1581no—
1787C2×C4—1581no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4C2×D4×D7912yes—
1797C2×C4C2×D4×D7912yes—
1798C2×C4#1457920612yes—
1799C2×C4#1457920612yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—88no—
1843C22—3161no—
1844C22—3161no—
1845C22—3161no—
1846C22—3161no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—794no—
1855C22—6328no—
1856C22—6328no—
1857C22—1582no—
1858C22—1582no—
1859C22—1582no—
1860C22—1582no—
1861C22—1582no—
1862C22—1582no—
1863C22—1582no—
1864C22—1582no—
1865C22—1582no—
1866C22C22×D4×D7911yescharacteristic
1867C22H(5,𝔽2)×D7911yescharacteristic
1868C22H(5,𝔽2)×D7911yescharacteristic
1869C22C2×#1457920611yescharacteristic
1870C22C2×#1457920611yescharacteristic
1871C22#1909939811yescharacteristic
1872C22#1909939811yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—3161no—
1883C4—3161no—
1884C4—3161no—
1885C4—3161no—
1886C4—3161no—
1887C4—3161no—
1888C4—3161no—
1889C4—3161no—
1890C4—3161no—
1891C4—3161no—
1892C4—3161no—
1893C4—1582no—
1894C4—1582no—
1895C2—42no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—3162no—
1902C2—6321no—
1903C2—1584no—
1904C2#535×D7911yescharacteristic
1905C2#2377715611yescharacteristic
1906C2#2377715611yescharacteristic
1907C2#2377758011yescharacteristic
1908C2#2377763111yescharacteristic
1909C2#2377791811yescharacteristic
1910C2#2377795011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2669C2
hypercenter#2669D79
hypocenterC79#36739
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#19099145C2semidirect
2. C2×#19099123C2semidirect
3. #23771742C2semidirect
4. #23771698C2semidirect
5. #23770248C2semidirect
6. #23770247C2semidirect
7. #23770149C2semidirect
8. #23770144C2semidirect
9. #23770095C2semidirect
10. #23770092C2semidirect
11. #23770039C2semidirect
12. #23770036C2semidirect
13. #23769790C2semidirect
14. #23769787C2semidirect
15. #23769728C2semidirect
16. #23769725C2semidirect
17. #23769627C2semidirect
18. #23769622C2semidirect
19. #23769613C2semidirect
20. #23769501C2semidirect
21. #23769331C2semidirect
22. #23768359C2semidirect
23. #23768355C2semidirect
24. #23766836C2semidirect
25. #23766833C2semidirect
26. #23766770C2semidirect
27. #23766770C2semidirect
28. #23766767C2semidirect
29. #23766767C2semidirect
30. #388×D79C2semidirect
31. C79×#2669C2semidirect
36. C2×#14579156C22semidirect
37. C2×#14579154C22semidirect
38. C2×#14579148C22semidirect
39. C2×#14579147C22semidirect
40. C2×#14579147C22semidirect
42. C2×#14579144C22semidirect
46. C2×#14579142C22semidirect
47. C2×#14579139C22semidirect
50. C2×#14579134C22semidirect
51. C2×#14579134C22semidirect
52. C2×#14579133C22semidirect
53. C2×#14579133C22semidirect
56. C2×#14579132C22semidirect
57. C2×#14579132C22semidirect
58. C2×#14579132C22semidirect
59. C2×#14579132C22semidirect
60. C2×#14579132C22semidirect
61. C2×#14579132C22semidirect
62. C2×#14579132C22semidirect
68. C2×#14579129C22semidirect
69. C2×#14579129C22semidirect
70. C2×C4×C22⋊D79C22semidirect
71. C2×(C22⋊D79)⋊C4C22semidirect
72. C2×C4⋊C4×D79C22semidirect
76. C2×C42×D79C22semidirect
77. #19098503C22semidirect
78. #19098502C22semidirect
79. #19098500C22semidirect
80. #19098499C22semidirect
81. #19098499C22semidirect
82. #19098499C22semidirect
83. #19098497C22semidirect
84. #19098495C22semidirect
85. #19098491C22semidirect
86. #19098491C22semidirect
87. #19098491C22semidirect
88. #19098488C22semidirect
89. #19098486C22semidirect
90. #19098486C22semidirect
91. #19098486C22semidirect
92. #19098485C22semidirect
99. #19098479C22semidirect
100. #19098478C22semidirect
103. #19098477C22semidirect
104. #19098477C22semidirect
105. #19098477C22semidirect
106. #19098477C22semidirect
107. #19098475C22semidirect
108. #19098475C22semidirect
115. #19098471C22semidirect
116. #19098471C22semidirect
117. #19098471C22semidirect
118. #19098471C22semidirect
119. #19098467C22semidirect
120. #19098466C22semidirect
121. #19098466C22semidirect
122. #19098466C22semidirect
123. #19098466C22semidirect
124. #19098466C22semidirect
125. #19098466C22semidirect
126. #19098466C22semidirect
127. #19098463C22semidirect
128. #19098463C22semidirect
129. #19098462C22semidirect
130. #19098460C22semidirect
131. #19098457C22semidirect
132. #19098457C22semidirect
133. #19098456C22semidirect
134. #19098456C22semidirect
135. #19098456C22semidirect
136. #19098455C22semidirect
137. #19098455C22semidirect
138. #19098454C22semidirect
139. #19098454C22semidirect
140. #19098453C22semidirect
141. #19098453C22semidirect
142. #19098452C22semidirect
143. #19098451C22semidirect
144. #19098451C22semidirect
145. #19098443C22semidirect
146. #19098443C22semidirect
147. #19098443C22semidirect
148. #19098443C22semidirect
149. #19098442C22semidirect
150. #19098441C22semidirect
151. #19098441C22semidirect
152. #19098439C22semidirect
153. #19098439C22semidirect
154. #19098439C22semidirect
155. #19098439C22semidirect
156. #19098439C22semidirect
157. #19098439C22semidirect
158. #19098439C22semidirect
159. #19098439C22semidirect
160. #19098438C22semidirect
161. #19098438C22semidirect
162. #19098437C22semidirect
163. #19098437C22semidirect
164. #19098433C22semidirect
165. #19098427C22semidirect
166. #19098423C22semidirect
167. #19098421C22semidirect
168. #19098419C22semidirect
169. #19098419C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. #95×D79C22semidirect
173. #95×D79C22semidirect
174. C2×#127×C79C22semidirect
175. C2×#121×C79C22semidirect
176. C2×#121×C79C22semidirect
178. C2×#120×C79C22semidirect
179. C2×#120×C79C22semidirect
180. #394×C79C22semidirect
181. #394×C79C22semidirect
184. #392×C79C22semidirect
185. #392×C79C22semidirect
186. #388×C79C22semidirect
187. #388×C79C22semidirect
188. #386×C79C22semidirect
329. C22⋊C4×D79D4semidirect
975. #2669D79semidirect
987. C79#36739semidirect
992. C2×#127C2×D79semidirect
1020. C2×#121C2×D79semidirect
1021. C2×#121C2×D79semidirect
1030. C2×#120C2×D79semidirect
1031. C2×#120C2×D79semidirect
1069. #394C2×D79semidirect
1070. #394C2×D79semidirect
1085. #392C2×D79semidirect
1086. #392C2×D79semidirect
1113. #388C2×D79semidirect
1114. #388C2×D79semidirect
1130. #386C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991452
C2×#190991232
#237717422
#237716982
#237702482
#237702472
#237701492
#237701442
#237700952
#237700922
#237700392
#237700362
#237697902
#237697872
#237697282
#237697252
#237696272
#237696222
#237696132
#237695012
#237693312
#237683592
#237683552
#237668362
#237668332
#237667702
#237667672
#388×D792
C79×#26692
#3673979