Finite Group Databasebeta

← #34495788

Subgroups — #34495788

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×#19099163C211yesmaximal, characteristic, complemented
2C2×#19099145C211yesmaximal, characteristic, complemented
3#23771731C211yesmaximal, characteristic, complemented
4#23770290C211yesmaximal, characteristic, complemented
5#23770191C211yesmaximal, characteristic, complemented
6#23769915C211yesmaximal, characteristic, complemented
7#23769749C211yesmaximal, characteristic, complemented
8#23769740C211yesmaximal, characteristic, complemented
9#23769722C211yesmaximal, characteristic, complemented
10#23769695C211yesmaximal, characteristic, complemented
11#23769690C211yesmaximal, characteristic, complemented
12#23769661C211yesmaximal, characteristic, complemented
13#23769660C211yesmaximal, characteristic, complemented
14#23769645C211yesmaximal, characteristic, complemented
15#23769631C211yesmaximal, characteristic, complemented
16#23769630C211yesmaximal, characteristic, complemented
17#23769613C211yesmaximal, characteristic, complemented
18#23769612C211yesmaximal, characteristic, complemented
19#23769603C211yesmaximal, characteristic, complemented
20#23769529C211yesmaximal, characteristic, complemented
21#23769529C211yesmaximal, characteristic, complemented
22#23769084C211yesmaximal, characteristic, complemented
23#23769023C211yesmaximal, characteristic, complemented
24#23769009C211yesmaximal, characteristic, complemented
25#23768994C211yesmaximal, characteristic, complemented
26#23768337C211yesmaximal, characteristic, complemented
27#23768329C211yesmaximal, characteristic, complemented
28#23766815C211yesmaximal, characteristic, complemented
29#23766782C211yesmaximal, characteristic, complemented
30#23765843C211yesmaximal, characteristic, complemented
31C79×#2856C211yesmaximal, characteristic, complemented
32#19099163—28no—
33#19099145—28no—
34C2×#14579157C2211yescharacteristic
35C2×#14579156C2211yescharacteristic
36C2×#14579154C2211yescharacteristic
37C2×#14579151C2211yescharacteristic, complemented
38C2×#14579148C2211yescharacteristic
39C2×#14579147C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579146C2211yescharacteristic
42C2×#14579144C2211yescharacteristic
43C2×#14579144C2211yescharacteristic, complemented
44C2×#14579143C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579142C2211yescharacteristic
47C2×#14579142C2211yescharacteristic, complemented
48C2×#14579139C2211yescharacteristic
49C2×#14579139C2211yescharacteristic, complemented
50C2×#14579138C2211yescharacteristic, complemented
51C2×#14579135C2211yescharacteristic
52C2×#14579134C2211yescharacteristic
53C2×#14579134C2211yescharacteristic
54C2×#14579133C2211yescharacteristic
55C2×#14579133C2211yescharacteristic
56C2×#14579133C2211yescharacteristic
57C2×#14579133C2211yescharacteristic
58C2×#14579133C2211yescharacteristic, complemented
59C2×#14579133C2211yescharacteristic, complemented
60C2×#14579132C2211yescharacteristic
61C2×#14579132C2211yescharacteristic, complemented
62C2×#14579131C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×#14579129C2211yescharacteristic
65C2×#14579129C2211yescharacteristic
66C2×#14579129C2211yescharacteristic
67C2×C4×C22⋊D79C2211yescharacteristic
68C2×(C22⋊D79)⋊C4C2211yescharacteristic
69C2×(C22⋊D79)⋊C4C2211yescharacteristic, complemented
70C2×#14579118C2211yescharacteristic
71C2×#14579117C2211yescharacteristic, complemented
72C2×C22⋊C4×D79C2211yescharacteristic
73#19098499C2211yescharacteristic
74#19098499C2211yescharacteristic, complemented
75#19098498C2211yescharacteristic
76#19098498C2211yescharacteristic
77#19098496C2211yescharacteristic, complemented
78#19098494C2211yescharacteristic, complemented
79#19098494C2211yescharacteristic, complemented
80#19098494C2211yescharacteristic, complemented
81#19098491C2211yescharacteristic
82#19098489C2211yescharacteristic
83#19098489C2211yescharacteristic
84#19098489C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic
86#19098486C2211yescharacteristic
87#19098486C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic
89#19098483C2211yescharacteristic, complemented
90#19098480C2211yescharacteristic
91#19098479C2211yescharacteristic
92#19098479C2211yescharacteristic
93#19098479C2211yescharacteristic, complemented
94#19098478C2211yescharacteristic
95#19098478C2211yescharacteristic
96#19098478C2211yescharacteristic
97#19098477C2211yescharacteristic
98#19098477C2211yescharacteristic
99#19098477C2211yescharacteristic
100#19098477C2211yescharacteristic
101#19098477C2211yescharacteristic, complemented
102#19098477C2211yescharacteristic, complemented
103#19098477C2211yescharacteristic, complemented
104#19098477C2211yescharacteristic, complemented
105#19098475C2211yescharacteristic, complemented
106#19098472C2211yescharacteristic
107#19098472C2211yescharacteristic
108#19098472C2211yescharacteristic
109#19098471C2211yescharacteristic
110#19098471C2211yescharacteristic
111#19098471C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic
115#19098471C2211yescharacteristic
116#19098471C2211yescharacteristic
117#19098471C2211yescharacteristic
118#19098471C2211yescharacteristic
119#19098471C2211yescharacteristic, complemented
120#19098471C2211yescharacteristic, complemented
121#19098465C2211yescharacteristic
122#19098465C2211yescharacteristic
123#19098463C2211yescharacteristic
124#19098463C2211yescharacteristic
125#19098463C2211yescharacteristic
126#19098463C2211yescharacteristic, complemented
127#19098463C2211yescharacteristic, complemented
128#19098461C2211yescharacteristic, complemented
129#19098461C2211yescharacteristic, complemented
130#19098458C2211yescharacteristic, complemented
131#19098457C2211yescharacteristic
132#19098457C2211yescharacteristic, complemented
133#19098457C2211yescharacteristic, complemented
134#19098457C2211yescharacteristic, complemented
135#19098457C2211yescharacteristic, complemented
136#19098456C2211yescharacteristic
137#19098456C2211yescharacteristic, complemented
138#19098454C2211yescharacteristic
139#19098454C2211yescharacteristic
140#19098454C2211yescharacteristic
141#19098454C2211yescharacteristic
142#19098454C2211yescharacteristic, complemented
143#19098454C2211yescharacteristic, complemented
144#19098453C2211yescharacteristic
145#19098449C2211yescharacteristic, complemented
146#19098449C2211yescharacteristic, complemented
147#19098447C2211yescharacteristic, complemented
148#19098447C2211yescharacteristic, complemented
149#19098443C2211yescharacteristic
150#19098443C2211yescharacteristic
151#19098443C2211yescharacteristic, complemented
152#19098443C2211yescharacteristic, complemented
153#19098442C2211yescharacteristic
154#19098442C2211yescharacteristic
155#19098442C2211yescharacteristic
156#19098442C2211yescharacteristic, complemented
157#19098440C2211yescharacteristic
158#19098439C2211yescharacteristic
159#19098439C2211yescharacteristic
160#19098438C2211yescharacteristic, complemented
161#19098438C2211yescharacteristic, complemented
162#19098436C2211yescharacteristic, complemented
163#19098436C2211yescharacteristic, complemented
164#19098435C2211yescharacteristic, complemented
165#19098434C2211yescharacteristic
166#19098434C2211yescharacteristic, complemented
167#19098423C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170C4×Dic79⋊C4C2211yescharacteristic, complemented
171C4×(C2×D79)⋊C4C2211yescharacteristic
172C4×C22⋊Dic79C2211yescharacteristic, complemented
173#19098409C2211yescharacteristic, complemented
174C2×#127×C79C2211yescharacteristic
175C2×#121×C79C2211yescharacteristic
176C2×#121×C79C2211yescharacteristic
177C2×#121×C79C2211yescharacteristic
178C2×#121×C79C2211yescharacteristic, complemented
179C2×#121×C79C2211yescharacteristic, complemented
180C2×#121×C79C2211yescharacteristic, complemented
181C22×C42×C79C2211yescharacteristic, complemented
182#390×C79C2211yescharacteristic
183#390×C79C2211yescharacteristic
184#390×C79C2211yescharacteristic
185#390×C79C2211yescharacteristic, complemented
186#390×C79C2211yescharacteristic, complemented
187#390×C79C2211yescharacteristic, complemented
188#384×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
208C23×Dic79C2311yescharacteristic
209C22×C4×D79C2311yescharacteristic
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212#14579157—24no—
213#14579156—24no—
214#14579154—24no—
215#14579151—24no—
216#14579148—24no—
217#14579147—24no—
218#14579146—24no—
219#14579146—42no—
220#14579144—24no—
221#14579144—24no—
222#14579143—24no—
223#14579143—42no—
224#14579142—24no—
225#14579142—24no—
226#14579139—24no—
227#14579139—42no—
228#14579138—42no—
229#14579135—42no—
230#14579134—24no—
231#14579134—42no—
232#14579133—24no—
233#14579133—24no—
234#14579133—24no—
235#14579133—24no—
236#14579133—42no—
237#14579133—42no—
238#14579132—24no—
239#14579132—24no—
240#14579131—42no—
241#14579129—24no—
242#14579129—24no—
243#14579129—42no—
244#14579129—42no—
245C4×C22⋊D79D418yescomplemented
246(C22⋊D79)⋊C4—24no—
247(C22⋊D79)⋊C4—24no—
248#14579118—42no—
249#14579117—24no—
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C22⋊C4×D79—24no—
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C22×D4×C79C2311yescharacteristic
352C22×D4×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C22×D4×C79C2311yescharacteristic
357C22×D4×C79C2311yescharacteristic
358C23×C4×C79C2311yescharacteristic
359C23×C4×C79C2311yescharacteristic
360C23×C4×C79C2311yescharacteristic
361#127×C79—42no—
362#121×C79—24no—
363#121×C79—24no—
364#121×C79—42no—
365#121×C79—42no—
366#121×C79—42no—
367#121×C79—42no—
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C4⋊C4×C79C2311yescharacteristic
372C2×C4⋊C4×C79C2311yescharacteristic
373C2×C4⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C42×C79—42no—
387C2×C42×C79C2311yescharacteristic
388C2×C42×C79C2311yescharacteristic
389C2×C42×C79C2311yescharacteristic
390C2×C42×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—22no—
406C2×D316—41no—
407C2×D316—41no—
408C2×D316—41no—
409C2×D316—41no—
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—41no—
419C2×C22⋊D79—41no—
420C2×C22⋊D79—41no—
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⋊D79C2×D414yes—
449C22×Dic79—22no—
450C22×Dic79—22no—
451C22×Dic79—22no—
452C22×Dic79—41no—
453C22×Dic79—41no—
454C22×Dic79—41no—
455C22×Dic79—41no—
456C22×Dic79—41no—
457C22×Dic79—41no—
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C2×C4×D79—22no—
472C2×C4×D79—22no—
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×D79C2×D414yes—
480C4⋊Dic79—22no—
481C4⋊Dic79—22no—
482C4⋊Dic79—22no—
483C4⋊Dic79—41no—
484C4⋊Dic79—41no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—22no—
493Dic79⋊C4—22no—
494Dic79⋊C4—22no—
495Dic79⋊C4—22no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500Dic79⋊C4—41no—
501Dic79⋊C4C2×D414yes—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—22no—
506C22⋊Dic79—22no—
507C22⋊Dic79—22no—
508C22⋊Dic79—22no—
509C22⋊Dic79—22no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79—41no—
517C22⋊Dic79—41no—
518C22⋊Dic79—41no—
519C22⋊Dic79—41no—
520C22⋊Dic79—41no—
521C22⋊Dic79—41no—
522C22⋊Dic79—41no—
523C22⋊Dic79—41no—
524C22⋊Dic79C2×D414yes—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—22no—
529(C2×D79)⋊C4—22no—
530(C2×D79)⋊C4—22no—
531(C2×D79)⋊C4—22no—
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—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546(C2×D79)⋊C4—41no—
547(C2×D79)⋊C4C2×D414yes—
548C4×Dic79—22no—
549C4×Dic79—22no—
550C4×Dic79—41no—
551C4×Dic79—41no—
552C4×Dic79C2×D414yes—
553C24×C79C2411yescharacteristic
554C24×C79C2411yescharacteristic
555C24×C79C2411yescharacteristic
556C24×C79C2411yescharacteristic
557C24×C79C2411yescharacteristic
558C2×D4×C79—22no—
559C2×D4×C79—22no—
560C2×D4×C79—22no—
561C2×D4×C79—22no—
562C2×D4×C79—22no—
563C2×D4×C79—22no—
564C2×D4×C79—22no—
565C2×D4×C79—22no—
566C2×D4×C79—22no—
567C2×D4×C79—22no—
568C2×D4×C79—41no—
569C2×D4×C79—41no—
570C2×D4×C79—41no—
571C2×D4×C79—41no—
572C2×D4×C79—41no—
573C2×D4×C79—41no—
574C2×D4×C79—41no—
575C2×D4×C79—41no—
576C2×D4×C79—41no—
577C2×D4×C79—41no—
578C2×D4×C79—41no—
579C2×D4×C79—41no—
580C2×D4×C79—41no—
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—
588C22×C4×C79—22no—
589C22×C4×C79—22no—
590C22×C4×C79—22no—
591C22×C4×C79—41no—
592C22×C4×C79—41no—
593C22×C4×C79—41no—
594C22×C4×C79—41no—
595C22×C4×C79—41no—
596C22×C4×C79C2×D414yes—
597C22×C4×C79C2411yescharacteristic
598C22×C4×C79C2411yescharacteristic
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2411yescharacteristic
601C22×C4×C79C2411yescharacteristic
602C22×C4×C79C2411yescharacteristic
603C22×C4×C79C2411yescharacteristic
604C22×C4×C79C2411yescharacteristic
605C22×C4×C79C2411yescharacteristic
606C22×C4×C79C2411yescharacteristic
607C4⋊C4×C79—22no—
608C4⋊C4×C79—22no—
609C4⋊C4×C79—22no—
610C4⋊C4×C79—22no—
611C4⋊C4×C79—41no—
612C4⋊C4×C79—41no—
613C22⋊C4×C79—22no—
614C22⋊C4×C79—22no—
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—41no—
622C22⋊C4×C79—41no—
623C22⋊C4×C79—41no—
624C22⋊C4×C79—41no—
625C42×C79—22no—
626C42×C79—22no—
627C42×C79—41no—
628C42×C79—41no—
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×C79C22×D412yes—
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—21no—
685C22×D79—44no—
686C22×D79—82no—
687C22×D79—82no—
688C22×D79—82no—
689C22×D79—82no—
690C22×D79—82no—
691C22×D79—82no—
692C22×D79C22×D412yes—
693D4×C79—82no—
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—44no—
730C2×C4×C79—44no—
731C2×C4×C79C22×D412yes—
732C2×C4×C79C22×D412yes—
733C2×C4×C79H(5,𝔽2)12yes—
734C2×C4×C79H(5,𝔽2)12yes—
735C2×C4×C79H(5,𝔽2)12yes—
736C22⋊D79—44no—
737C22⋊D79—44no—
738C22⋊D79—44no—
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—
748C22⋊D79—82no—
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—21no—
785C2×Dic79—44no—
786C2×Dic79—82no—
787C2×Dic79—82no—
788C2×Dic79C22×D412yes—
789C2×Dic79C22×D412yes—
790C2×Dic79C22×D412yes—
791D316—82no—
792D316—82no—
793C4×D79—44no—
794C4×D79—82no—
795C4×D79—82no—
796Dic158—82no—
797C22×C79—22no—
798C22×C79—22no—
799C22×C79—22no—
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—41no—
843C2×D79—41no—
844C2×D79—41no—
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—42no—
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—81no—
899D79—81no—
900C2×#540—791no—
901C2×#538—791no—
902#2856D7911yescharacteristic, complemented
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#2673—791no—
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×#123—791no—
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×#121C2×D7911yescharacteristic
964C2×#121C2×D7911yescharacteristic
965C2×#121C2×D7911yescharacteristic
966C2×#121C2×D7911yescharacteristic, complemented
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×C42C2×D7911yescharacteristic, complemented
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#394—791no—
1012#394—791no—
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#392—791no—
1026#392—791no—
1027#392—791no—
1028#392—791no—
1029#390—791no—
1030#390—791no—
1031#390—791no—
1032#390—791no—
1033#390—791no—
1034#390—791no—
1035#390—791no—
1036#390C2×D7911yescharacteristic
1037#390C2×D7911yescharacteristic
1038#390C2×D7911yescharacteristic
1039#390C2×D7911yescharacteristic, complemented
1040#390C2×D7911yescharacteristic, complemented
1041#390C2×D7911yescharacteristic, complemented
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#388—791no—
1059#387—791no—
1060#387—791no—
1061#387—791no—
1062#387—791no—
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#386—791no—
1072#386—791no—
1073#386—791no—
1074#385—791no—
1075#385—791no—
1076#385—791no—
1077#385—791no—
1078#385—791no—
1079#385—791no—
1080#385—791no—
1081#384C2×D7911yescharacteristic, complemented
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×C4C22×D7911yescharacteristic
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—3162no—
1133#123—3162no—
1134#123—1584no—
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—24no—
1145#121—42no—
1146#121—42no—
1147#121—42no—
1148#121—42no—
1149#121—3162no—
1150#121—3162no—
1151#121—3162no—
1152#121—3162no—
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⋊C4C22×D7911yescharacteristic
1193C2×C4⋊C4C22×D7911yescharacteristic
1194C2×C4⋊C4C22×D7911yescharacteristic
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—791no—
1244C2×C22⋊C4—1584no—
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—42no—
1258C2×C42—791no—
1259C2×C42—791no—
1260C2×C42—791no—
1261C2×C42—791no—
1262C2×C42—791no—
1263C2×C42C22×D7911yescharacteristic
1264C2×C42C22×D7911yescharacteristic
1265C2×C42C22×D7911yescharacteristic
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#95—791no—
1286#95—791no—
1287#95—791no—
1288#95—791no—
1289#95—791no—
1290#95—791no—
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—22no—
1318C2×D4—22no—
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—3161no—
1372C2×D4—3161no—
1373C2×D4—794no—
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—22no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
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—3161no—
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×C4D4×D7914yes—
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—22no—
1437C4⋊C4—22no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—3161no—
1441C4⋊C4—3161no—
1442C4⋊C4—3161no—
1443C4⋊C4—3161no—
1444C4⋊C4—3161no—
1445C4⋊C4—3161no—
1446C4⋊C4—3161no—
1447C4⋊C4—794no—
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⋊C4—1582no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
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—3161no—
1489C22⋊C4—3161no—
1490C22⋊C4—3161no—
1491C22⋊C4—3161no—
1492C22⋊C4—3161no—
1493C22⋊C4—3161no—
1494C22⋊C4—3161no—
1495C22⋊C4—794no—
1496C22⋊C4—794no—
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—22no—
1522C42—41no—
1523C42—41no—
1524C42—3161no—
1525C42—3161no—
1526C42—794no—
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—3164no—
1564C23—792no—
1565C23—6322no—
1566C23—6322no—
1567C23—6322no—
1568C23—6322no—
1569C23—6322no—
1570C23—6322no—
1571C23—1581no—
1572C23—1581no—
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—
1591C23C2×D4×D7912yes—
1592C23C24×D7911yescharacteristic
1593Q8—6322no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599D4—82no—
1600D4—82no—
1601D4—82no—
1602D4—82no—
1603D4—82no—
1604D4—3164no—
1605D4—3164no—
1606D4—3164no—
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—44no—
1646C2×C4—44no—
1647C2×C4—3164no—
1648C2×C4—3164no—
1649C2×C4—792no—
1650C2×C4—792no—
1651C2×C4—792no—
1652C2×C4—6322no—
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×C4#1457920612yes—
1695C2×C4#1457920612yes—
1696C2×C4#1457920612yes—
1697C22—22no—
1698C22—22no—
1699C22—22no—
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—3161no—
1748C22—3161no—
1749C22—3161no—
1750C22—6328no—
1751C22—1582no—
1752C22—1582no—
1753C22—1582no—
1754C22C22×D4×D7911yescharacteristic
1755C22C2×#1457920611yescharacteristic
1756C22C2×#1457920611yescharacteristic
1757C22C2×#1457920611yescharacteristic
1758C22#1909939911yescharacteristic
1759C22#1909939911yescharacteristic
1760C22#1909939911yescharacteristic
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—42no—
1785C2—81no—
1786C2—81no—
1787C2—81no—
1788C2—81no—
1789C2—3162no—
1790C2—6321no—
1791C2—6321no—
1792C2#2377672711yescharacteristic
1793C2#2377715711yescharacteristic
1794C2#2377717611yescharacteristic
1795C2#2377759011yescharacteristic
1796C2#2377772011yescharacteristic
1797C2#2377782711yescharacteristic
1798C2#2377799211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2856C2
hypercenter#2856D79
hypocenterC79#36744
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2856

Complements

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

NH ≅ G/Ntype
1. C2×#19099163C2semidirect
2. C2×#19099145C2semidirect
3. #23771731C2semidirect
4. #23770290C2semidirect
5. #23770191C2semidirect
6. #23769915C2semidirect
7. #23769749C2semidirect
8. #23769740C2semidirect
9. #23769722C2semidirect
10. #23769695C2semidirect
11. #23769690C2semidirect
12. #23769661C2semidirect
13. #23769660C2semidirect
14. #23769645C2semidirect
15. #23769631C2semidirect
16. #23769630C2semidirect
17. #23769613C2semidirect
18. #23769612C2semidirect
19. #23769603C2semidirect
20. #23769529C2semidirect
21. #23769529C2semidirect
22. #23769084C2semidirect
23. #23769023C2semidirect
24. #23769009C2semidirect
25. #23768994C2semidirect
26. #23768337C2semidirect
27. #23768329C2semidirect
28. #23766815C2semidirect
29. #23766782C2semidirect
30. #23765843C2semidirect
31. C79×#2856C2semidirect
37. C2×#14579151C22semidirect
43. C2×#14579144C22semidirect
47. C2×#14579142C22semidirect
49. C2×#14579139C22semidirect
50. C2×#14579138C22semidirect
58. C2×#14579133C22semidirect
59. C2×#14579133C22semidirect
61. C2×#14579132C22semidirect
69. C2×(C22⋊D79)⋊C4C22semidirect
71. C2×#14579117C22semidirect
74. #19098499C22semidirect
77. #19098496C22semidirect
78. #19098494C22semidirect
79. #19098494C22semidirect
80. #19098494C22semidirect
84. #19098489C22semidirect
87. #19098486C22semidirect
89. #19098483C22semidirect
93. #19098479C22semidirect
101. #19098477C22semidirect
102. #19098477C22semidirect
103. #19098477C22semidirect
104. #19098477C22semidirect
105. #19098475C22semidirect
119. #19098471C22semidirect
120. #19098471C22semidirect
126. #19098463C22semidirect
127. #19098463C22semidirect
128. #19098461C22semidirect
129. #19098461C22semidirect
130. #19098458C22semidirect
132. #19098457C22semidirect
133. #19098457C22semidirect
134. #19098457C22semidirect
135. #19098457C22semidirect
137. #19098456C22semidirect
142. #19098454C22semidirect
143. #19098454C22semidirect
145. #19098449C22semidirect
146. #19098449C22semidirect
147. #19098447C22semidirect
148. #19098447C22semidirect
151. #19098443C22semidirect
152. #19098443C22semidirect
156. #19098442C22semidirect
160. #19098438C22semidirect
161. #19098438C22semidirect
162. #19098436C22semidirect
163. #19098436C22semidirect
164. #19098435C22semidirect
166. #19098434C22semidirect
167. #19098423C22semidirect
168. #19098421C22semidirect
170. C4×Dic79⋊C4C22semidirect
172. C4×C22⋊Dic79C22semidirect
173. #19098409C22semidirect
178. C2×#121×C79C22semidirect
179. C2×#121×C79C22semidirect
180. C2×#121×C79C22semidirect
181. C22×C42×C79C22semidirect
185. #390×C79C22semidirect
186. #390×C79C22semidirect
187. #390×C79C22semidirect
188. #384×C79C22semidirect
245. C4×C22⋊D79D4semidirect
902. #2856D79semidirect
931. C79#36744semidirect
966. C2×#121C2×D79semidirect
967. C2×#121C2×D79semidirect
968. C2×#121C2×D79semidirect
980. C22×C42C2×D79semidirect
1039. #390C2×D79semidirect
1040. #390C2×D79semidirect
1041. #390C2×D79semidirect
1081. #384C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991632
C2×#190991452
#237717312
#237702902
#237701912
#237699152
#237697492
#237697402
#237697222
#237696952
#237696902
#237696612
#237696602
#237696452
#237696312
#237696302
#237696132
#237696122
#237696032
#237695292
#237690842
#237690232
#237690092
#237689942
#237683372
#237683292
#237668152
#237667822
#237658432
C79×#28562
#3674479