Finite Group Databasebeta

← #34501872

Subgroups — #34501872

Order 20224.

2518 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099152C211yesmaximal, characteristic, complemented
2C2×#123×D79C211yesmaximal, characteristic, complemented
3#23771695C211yesmaximal, characteristic, complemented
4#23771695C211yesmaximal, characteristic, complemented
5#23770245C211yesmaximal, characteristic, complemented
6#23770244C211yesmaximal, characteristic, complemented
7#23770243C211yesmaximal, characteristic, complemented
8#23770148C211yesmaximal, characteristic, complemented
9#23770146C211yesmaximal, characteristic, complemented
10#23770145C211yesmaximal, characteristic, complemented
11#23770143C211yesmaximal, characteristic, complemented
12#23770094C211yesmaximal, characteristic, complemented
13#23770093C211yesmaximal, characteristic, complemented
14#23770090C211yesmaximal, characteristic, complemented
15#23770089C211yesmaximal, characteristic, complemented
16#23770042C211yesmaximal, characteristic, complemented
17#23770041C211yesmaximal, characteristic, complemented
18#23770038C211yesmaximal, characteristic, complemented
19#23770037C211yesmaximal, characteristic, complemented
20#23769113C211yesmaximal, characteristic, complemented
21#23769113C211yesmaximal, characteristic, complemented
22#23768556C211yesmaximal, characteristic, complemented
23#23768327C211yesmaximal, characteristic, complemented
24#23768294C211yesmaximal, characteristic, complemented
25#23768291C211yesmaximal, characteristic, complemented
26#23767880C211yesmaximal, characteristic, complemented
27#23767868C211yesmaximal, characteristic, complemented
28#23767706C211yesmaximal, characteristic, complemented
29#23767703C211yesmaximal, characteristic, complemented
30#23765994C211yesmaximal, characteristic, complemented
31C79×#2718C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099152—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579149C2211yescharacteristic, complemented
37C2×#14579147C2211yescharacteristic, complemented
38C2×#14579146C2211yescharacteristic
39C2×#14579146C2211yescharacteristic
40C2×#14579146C2211yescharacteristic
41C2×#14579146C2211yescharacteristic
42C2×#14579146C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic
45C2×#14579146C2211yescharacteristic
46C2×#14579146C2211yescharacteristic, complemented
47C2×#14579145C2211yescharacteristic
48C2×#14579144C2211yescharacteristic
49C2×#14579143C2211yescharacteristic
50C2×#14579143C2211yescharacteristic
51C2×#14579143C2211yescharacteristic, complemented
52C2×#14579142C2211yescharacteristic
53#123×D79—28no—
54C2×#14579139C2211yescharacteristic
55C2×#14579136C2211yescharacteristic
56C2×#14579136C2211yescharacteristic, complemented
57C2×#14579134C2211yescharacteristic, complemented
58C2×#14579131C2211yescharacteristic
59C2×#14579131C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×C4×D316C2211yescharacteristic
63C2×#14579123C2211yescharacteristic
64C2×C4⋊C4×D79C2211yescharacteristic
65C2×C4⋊C4×D79C2211yescharacteristic
66C2×C22⋊C4×D79C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69#19098503C2211yescharacteristic, complemented
70#19098502C2211yescharacteristic, complemented
71#19098501C2211yescharacteristic, complemented
72#19098498C2211yescharacteristic, complemented
73#19098498C2211yescharacteristic, complemented
74#19098498C2211yescharacteristic, complemented
75#19098498C2211yescharacteristic, complemented
76#19098498C2211yescharacteristic, complemented
77#19098496C2211yescharacteristic, complemented
78#19098496C2211yescharacteristic, complemented
79#19098493C2211yescharacteristic, complemented
80#19098492C2211yescharacteristic, complemented
81#19098492C2211yescharacteristic, complemented
82#19098492C2211yescharacteristic, complemented
83#19098491C2211yescharacteristic, complemented
84#19098490C2211yescharacteristic, complemented
85#19098489C2211yescharacteristic, complemented
86#19098486C2211yescharacteristic, complemented
87#19098485C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098481C2211yescharacteristic, complemented
90#19098480C2211yescharacteristic
91#19098480C2211yescharacteristic
92#19098480C2211yescharacteristic, complemented
93#19098479C2211yescharacteristic, complemented
94#19098478C2211yescharacteristic
95#19098478C2211yescharacteristic
96#19098478C2211yescharacteristic
97#19098478C2211yescharacteristic
98#19098478C2211yescharacteristic, complemented
99#19098476C2211yescharacteristic, complemented
100#19098475C2211yescharacteristic, complemented
101#19098473C2211yescharacteristic
102#19098473C2211yescharacteristic
103#19098473C2211yescharacteristic, complemented
104#19098472C2211yescharacteristic
105#19098472C2211yescharacteristic
106#19098472C2211yescharacteristic
107#19098472C2211yescharacteristic
108#19098472C2211yescharacteristic, complemented
109#19098471C2211yescharacteristic
110#19098471C2211yescharacteristic
111#19098467C2211yescharacteristic, complemented
112#19098467C2211yescharacteristic, complemented
113#19098465C2211yescharacteristic, complemented
114#19098464C2211yescharacteristic, complemented
115#19098464C2211yescharacteristic, complemented
116#19098464C2211yescharacteristic, complemented
117#19098463C2211yescharacteristic, complemented
118#19098463C2211yescharacteristic, complemented
119#19098461C2211yescharacteristic, complemented
120#19098458C2211yescharacteristic, complemented
121#19098458C2211yescharacteristic, complemented
122#19098457C2211yescharacteristic, complemented
123#19098457C2211yescharacteristic, complemented
124#19098457C2211yescharacteristic, complemented
125#19098456C2211yescharacteristic, complemented
126#19098455C2211yescharacteristic, complemented
127#19098454C2211yescharacteristic, complemented
128#19098454C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic, complemented
131#19098453C2211yescharacteristic, complemented
132#19098453C2211yescharacteristic, complemented
133#19098452C2211yescharacteristic, complemented
134#19098451C2211yescharacteristic, complemented
135#19098442C2211yescharacteristic, complemented
136#19098442C2211yescharacteristic, complemented
137#19098441C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic, complemented
139#19098441C2211yescharacteristic, complemented
140#19098441C2211yescharacteristic, complemented
141#19098441C2211yescharacteristic, complemented
142#19098441C2211yescharacteristic, complemented
143#19098440C2211yescharacteristic, complemented
144#19098440C2211yescharacteristic, complemented
145#19098439C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic, complemented
147#19098435C2211yescharacteristic, complemented
148#19098435C2211yescharacteristic, complemented
149#19098434C2211yescharacteristic, complemented
150#19098434C2211yescharacteristic, complemented
151#19098434C2211yescharacteristic, complemented
152#19098434C2211yescharacteristic, complemented
153#19098432C2211yescharacteristic, complemented
154#19098427C2211yescharacteristic, complemented
155#19098427C2211yescharacteristic, complemented
156#19098425C2211yescharacteristic
157#19098425C2211yescharacteristic
158#19098425C2211yescharacteristic
159#19098425C2211yescharacteristic
160#19098425C2211yescharacteristic
161#19098425C2211yescharacteristic
162#19098422C2211yescharacteristic
163#19098422C2211yescharacteristic, complemented
164#19098422C2211yescharacteristic, complemented
165#19098420C2211yescharacteristic
166#19098420C2211yescharacteristic, complemented
167#19098420C2211yescharacteristic, complemented
168#19098418C2211yescharacteristic
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172C4×(C2×D79)⋊C4C2211yescharacteristic
173#19098410C2211yescharacteristic
174C2×#126×C79C2211yescharacteristic, complemented
175C2×#123×C79C2211yescharacteristic
176#400×C79C2211yescharacteristic, complemented
177#399×C79C2211yescharacteristic, complemented
178#398×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic
181#394×C79C2211yescharacteristic
182#389×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#384×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×D316C2311yescharacteristic
193C22×D316C2311yescharacteristic
194C22×D316C2311yescharacteristic
195C22×D316C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C2×D4×D79—24no—
207C2×D4×D79—42no—
208C2×D4×D79—42no—
209C23×Dic79C2311yescharacteristic
210C22×C4×D79—24no—
211C22×C4×D79—42no—
212C22×C4×D79—42no—
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
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#14579149—24no—
224#14579147—24no—
225#14579146—24no—
226#14579146—24no—
227#14579146—24no—
228#14579146—42no—
229#14579146—42no—
230#14579146—42no—
231#14579146—42no—
232#14579146—42no—
233#14579146—42no—
234#14579145—24no—
235#14579144—24no—
236#14579143—24no—
237#14579143—24no—
238#14579143—24no—
239#14579142—24no—
240#14579139—24no—
241#14579136—24no—
242#14579136—24no—
243#14579134—24no—
244#14579131—24no—
245#14579131—24no—
246#14579131—42no—
247#14579131—42no—
248C4×D316—24no—
249#14579123—24no—
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×Dic79⋊C4C2311yescharacteristic
255C2×Dic79⋊C4C2311yescharacteristic
256C2×Dic79⋊C4C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C4⋊C4×D79—24no—
269C4⋊C4×D79—24no—
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×(C2×D79)⋊C4C2311yescharacteristic
278C2×(C2×D79)⋊C4C2311yescharacteristic
279C2×(C2×D79)⋊C4C2311yescharacteristic
280C2×(C2×D79)⋊C4C2311yescharacteristic
281C2×(C2×D79)⋊C4C2311yescharacteristic
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C22⋊C4×D79—24no—
318C22⋊C4×D79—24no—
319C22⋊C4×D79D418yescomplemented
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
349C23×C4×C79C2311yescharacteristic
350#126×C79—24no—
351#123×C79—24no—
352C2×C4⋊C4×C79C2311yescharacteristic
353C2×C4⋊C4×C79C2311yescharacteristic
354C2×C4⋊C4×C79C2311yescharacteristic
355C2×C4⋊C4×C79C2311yescharacteristic
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C42×C79C2311yescharacteristic
376C2×C42×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—22no—
389C23×D79—22no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79—41no—
393C23×D79—41no—
394C23×D79—41no—
395C23×D79—41no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79C2×D414yes—
399C23×D79C2411yescharacteristic
400C23×D79C2411yescharacteristic
401C23×D79C2411yescharacteristic
402C23×D79C2411yescharacteristic
403C23×D79C2411yescharacteristic
404C2×Dic158—22no—
405C2×Dic158—41no—
406C2×Dic158—41no—
407C2×D316—22no—
408C2×D316—22no—
409C2×D316—22no—
410C2×D316—22no—
411C2×D316—22no—
412C2×D316—22no—
413C2×D316—22no—
414C2×D316—22no—
415C2×D316—22no—
416C2×D316—22no—
417C2×D316—41no—
418C2×D316—41no—
419C2×D316—41no—
420C2×D316—41no—
421C2×D316—41no—
422C2×D316—41no—
423C2×D316—41no—
424C2×D316—41no—
425C2×D316—41no—
426C2×D316—41no—
427C2×D316—41no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×C22⋊D79—22no—
432C2×C22⋊D79—22no—
433C2×C22⋊D79—22no—
434C2×C22⋊D79—22no—
435C2×C22⋊D79—41no—
436C2×C22⋊D79—41no—
437C2×C22⋊D79—41no—
438C2×C22⋊D79—41no—
439C2×C22⋊D79—41no—
440C2×C22⋊D79—41no—
441C2×C22⋊D79—41no—
442C2×C22⋊D79—41no—
443C2×C22⋊D79—41no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C2×C22⋊D79—41no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
449D4×D79—416no—
450C22×Dic79—22no—
451C22×Dic79—41no—
452C22×Dic79—41no—
453C22×Dic79C2411yescharacteristic
454C22×Dic79C2411yescharacteristic
455C22×Dic79C2411yescharacteristic
456C22×Dic79C2411yescharacteristic
457C22×Dic79C2411yescharacteristic
458C22×Dic79C2411yescharacteristic
459C22×Dic79C2411yescharacteristic
460C22×Dic79C2411yescharacteristic
461C22×Dic79C2411yescharacteristic
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C2×C4×D79—22no—
465C2×C4×D79—22no—
466C2×C4×D79—22no—
467C2×C4×D79—22no—
468C2×C4×D79—22no—
469C2×C4×D79—22no—
470C2×C4×D79—22no—
471C2×C4×D79—22no—
472C2×C4×D79—22no—
473C2×C4×D79—22no—
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—41no—
478C2×C4×D79—41no—
479C2×C4×D79—41no—
480C2×C4×D79—41no—
481C2×C4×D79—41no—
482C2×C4×D79—41no—
483C2×C4×D79—41no—
484C2×C4×D79—41no—
485C2×C4×D79—41no—
486C2×C4×D79—41no—
487C2×C4×D79—41no—
488C2×C4×D79—41no—
489C2×C4×D79—416no—
490C2×C4×D79C2×D414yes—
491C2×C4×D79C2×D414yes—
492C4⋊Dic79—22no—
493C4⋊Dic79—22no—
494C4⋊Dic79—22no—
495C4⋊Dic79—41no—
496Dic79⋊C4—22no—
497Dic79⋊C4—22no—
498Dic79⋊C4—22no—
499Dic79⋊C4—22no—
500Dic79⋊C4—22no—
501Dic79⋊C4—22no—
502Dic79⋊C4—41no—
503Dic79⋊C4—41no—
504Dic79⋊C4—41no—
505Dic79⋊C4—41no—
506Dic79⋊C4—41no—
507Dic79⋊C4—41no—
508Dic79⋊C4—41no—
509Dic79⋊C4—41no—
510C22⋊Dic79—22no—
511C22⋊Dic79—22no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515C22⋊Dic79—41no—
516C22⋊Dic79C2×D414yes—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—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—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4—41no—
539(C2×D79)⋊C4—41no—
540(C2×D79)⋊C4—41no—
541(C2×D79)⋊C4—41no—
542(C2×D79)⋊C4—41no—
543(C2×D79)⋊C4—41no—
544(C2×D79)⋊C4—41no—
545(C2×D79)⋊C4—41no—
546(C2×D79)⋊C4—41no—
547(C2×D79)⋊C4—41no—
548(C2×D79)⋊C4—41no—
549(C2×D79)⋊C4—41no—
550(C2×D79)⋊C4—41no—
551(C2×D79)⋊C4—41no—
552(C2×D79)⋊C4—41no—
553(C2×D79)⋊C4—41no—
554(C2×D79)⋊C4—41no—
555(C2×D79)⋊C4C2×D414yes—
556(C2×D79)⋊C4C2×D414yes—
557C4×Dic79—22no—
558C4×Dic79—41no—
559C4×Dic79—41no—
560C4×Dic79—41no—
561C24×C79C2411yescharacteristic
562C24×C79C2411yescharacteristic
563C2×D4×C79—22no—
564C2×D4×C79—41no—
565C2×D4×C79—41no—
566C22×C4×C79—22no—
567C22×C4×C79—41no—
568C22×C4×C79—41no—
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C22×C4×C79C2411yescharacteristic
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2411yescharacteristic
581C22×C4×C79C2411yescharacteristic
582C4⋊C4×C79—22no—
583C4⋊C4×C79—22no—
584C4⋊C4×C79—22no—
585C4⋊C4×C79—22no—
586C4⋊C4×C79—22no—
587C4⋊C4×C79—41no—
588C4⋊C4×C79—41no—
589C4⋊C4×C79—41no—
590C4⋊C4×C79—41no—
591C4⋊C4×C79—41no—
592C4⋊C4×C79—41no—
593C4⋊C4×C79—41no—
594C22⋊C4×C79—22no—
595C22⋊C4×C79—22no—
596C22⋊C4×C79—22no—
597C22⋊C4×C79—22no—
598C22⋊C4×C79—41no—
599C22⋊C4×C79—41no—
600C22⋊C4×C79—41no—
601C22⋊C4×C79—41no—
602C22⋊C4×C79—41no—
603C22⋊C4×C79—41no—
604C22⋊C4×C79C2×D414yes—
605C42×C79—22no—
606C42×C79—41no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C79—21no—
618C23×C79—21no—
619C23×C79—21no—
620C23×C79C22×D412yes—
621C23×C79C2511yescharacteristic
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—28no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—44no—
655C22×D79—44no—
656C22×D79—44no—
657C22×D79—44no—
658C22×D79—44no—
659C22×D79—44no—
660C22×D79—44no—
661C22×D79—44no—
662C22×D79—44no—
663C22×D79—82no—
664C22×D79—82no—
665C22×D79—82no—
666C22×D79—82no—
667C22×D79C22×D412yes—
668C22×D79C22×D412yes—
669C22×D79H(5,𝔽2)12yes—
670C22×D79H(5,𝔽2)12yes—
671D4×C79—44no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—44no—
710C2×C4×C79C22×D412yes—
711C2×C4×C79C22×D412yes—
712C22⋊D79—44no—
713C22⋊D79—44no—
714C22⋊D79—82no—
715C22⋊D79—82no—
716C22⋊D79—82no—
717C22⋊D79—82no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—21no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—44no—
750C2×Dic79C22×D412yes—
751C2×Dic79C22×D412yes—
752D316—44no—
753D316—44no—
754D316—44no—
755D316—82no—
756D316—82no—
757D316—82no—
758D316—82no—
759D316—82no—
760C4×D79—44no—
761C4×D79—44no—
762C4×D79—44no—
763C4×D79—44no—
764C4×D79—44no—
765C4×D79—44no—
766C4×D79—44no—
767C4×D79—82no—
768C4×D79—82no—
769Dic158—82no—
770C22×C79—22no—
771C22×C79—22no—
772C22×C79—22no—
773C22×C79—41no—
774C22×C79—41no—
775C22×C79—41no—
776C22×C79—41no—
777C22×C79—41no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79C23×D411yescharacteristic
785C22×C79C2×H(5,𝔽2)11yescharacteristic
786C22×C79C2×H(5,𝔽2)11yescharacteristic
787C22×C79#58511yescharacteristic
788C22×C79#58511yescharacteristic
789C22×C79#58511yescharacteristic
790C22×C79#58511yescharacteristic
791C2×D79—22no—
792C2×D79—22no—
793C2×D79—22no—
794C2×D79—22no—
795C2×D79—22no—
796C2×D79—22no—
797C2×D79—22no—
798C2×D79—22no—
799C2×D79—22no—
800C2×D79—416no—
801C2×D79—41no—
802C2×D79—41no—
803C2×D79—41no—
804C2×D79—41no—
805C2×D79—41no—
806C2×D79—41no—
807C2×D79—41no—
808C2×D79—41no—
809C2×D79—41no—
810C2×D79—41no—
811C2×D79—41no—
812C2×D79—41no—
813C2×D79—41no—
814C2×D79—41no—
815C2×D79—41no—
816C2×D79—41no—
817C2×D79—41no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—88no—
827C2×D79#53514yes—
828C4×C79—22no—
829C4×C79—22no—
830C4×C79—41no—
831C4×C79—41no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79—41no—
839C4×C79—41no—
840C4×C79—41no—
841Dic79—22no—
842Dic79—22no—
843Dic79—41no—
844Dic79—41no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79—41no—
852#36956—791nomaximal, Sylow
853C2×C79—42no—
854C2×C79—81no—
855C2×C79C2×#53511yescharacteristic
856C2×C79#348511yescharacteristic
857C2×C79#348511yescharacteristic
858C2×C79#353311yescharacteristic
859C2×C79#353311yescharacteristic
860C2×C79#353311yescharacteristic
861C2×C79#353311yescharacteristic
862D79—24no—
863D79—42no—
864D79—81no—
865D79—81no—
866D79—81no—
867C2×#538—791no—
868C22×#123—791no—
869#2849—791no—
870#2849—791no—
871#2718—791no—
872#2718—791no—
873#2718—791no—
874#2718D7911yescharacteristic, complemented
875#2710—791no—
876#2710—791no—
877#2710—791no—
878#2710—791no—
879#2706—791no—
880#2706—791no—
881#2706—791no—
882#2706—791no—
883#2703—791no—
884#2703—791no—
885#2703—791no—
886#2703—791no—
887#2613—791no—
888#2613—791no—
889#2561—791no—
890#2539—791no—
891#2534—791no—
892#2534—791no—
893#2503—791no—
894#2501—791no—
895#2486—791no—
896#2486—791no—
897#2312—791no—
898C79#3695611yescharacteristic, complemented, Sylow
899C23×D4—791no—
900C24×C4—791no—
901#538—1588no—
902C2×#126—791no—
903C2×#126C2×D7911yescharacteristic, complemented
904C2×#124—791no—
905C2×#124—791no—
906C2×#123—791no—
907C2×#123—791no—
908C2×#123—791no—
909C2×#123—791no—
910C2×#123—791no—
911C2×#123—791no—
912C2×#123—791no—
913C2×#123—791no—
914C2×#123—791no—
915C2×#123—791no—
916C2×#123—791no—
917C2×#123—791no—
918C2×#123—791no—
919C2×#123—791no—
920C2×#123—791no—
921C2×#123—1588no—
922C2×#123C2×D7911yescharacteristic
923C2×C22⋊Q8—791no—
924C2×#121—791no—
925C2×#121—791no—
926C2×#121—791no—
927C2×#120—791no—
928C2×#120—791no—
929C2×#120—791no—
930C2×#120—791no—
931C2×C4×D4—791no—
932C2×C4×D4—791no—
933C22×C4⋊C4—791no—
934C22×C4⋊C4—791no—
935C22×C22⋊C4—791no—
936C22×C22⋊C4—791no—
937C22×C22⋊C4—791no—
938#400—791no—
939#400—791no—
940#400—791no—
941#400C2×D7911yescharacteristic, complemented
942#399—791no—
943#399—791no—
944#399—791no—
945#399—791no—
946#399—791no—
947#399C2×D7911yescharacteristic, complemented
948#398—791no—
949#398—791no—
950#398—791no—
951#398C2×D7911yescharacteristic, complemented
952#397—791no—
953#397—791no—
954#397—791no—
955#397—791no—
956#397—791no—
957#397—791no—
958#396—791no—
959#396—791no—
960#396—791no—
961#396C2×D7911yescharacteristic, complemented
962#394—791no—
963#394—791no—
964#394—791no—
965#394—791no—
966#394—791no—
967#394—791no—
968#394—791no—
969#394—791no—
970#394—791no—
971#394—791no—
972#394C2×D7911yescharacteristic
973#394C2×D7911yescharacteristic
974#393—791no—
975#393—791no—
976#392—791no—
977#392—791no—
978#392—791no—
979#392—791no—
980#392—791no—
981#392—791no—
982#392—791no—
983#392—791no—
984#392—791no—
985#392—791no—
986#391—791no—
987#391—791no—
988#390—791no—
989#390—791no—
990#390—791no—
991#390—791no—
992#390—791no—
993#390—791no—
994#389—791no—
995#389—791no—
996#389—791no—
997#389C2×D7911yescharacteristic, complemented
998#388—791no—
999#388—791no—
1000#388—791no—
1001#388—791no—
1002#388—791no—
1003#388—791no—
1004#388—791no—
1005#388—791no—
1006#388—791no—
1007#388—791no—
1008#388—791no—
1009#388—791no—
1010#388—791no—
1011#388C2×D7911yescharacteristic, complemented
1012#388C2×D7911yescharacteristic, complemented
1013#388C2×D7911yescharacteristic, complemented
1014#386—791no—
1015#386—791no—
1016#386—791no—
1017#386—791no—
1018#386—791no—
1019#386—791no—
1020#386—791no—
1021#386—791no—
1022#386—791no—
1023#386—791no—
1024#386—791no—
1025#386—791no—
1026#385—791no—
1027#385—791no—
1028#385—791no—
1029#385—791no—
1030#385—791no—
1031#385—791no—
1032#385C2×D7911yescharacteristic, complemented
1033#385C2×D7911yescharacteristic, complemented
1034#384—791no—
1035#384C2×D7911yescharacteristic, complemented
1036#382—791no—
1037#382—791no—
1038#381—791no—
1039#381—791no—
1040#381—791no—
1041#381—791no—
1042#381—791no—
1043#381—791no—
1044#380—791no—
1045#380—791no—
1046#380—791no—
1047#380—791no—
1048#380—791no—
1049#380—791no—
1050#379—791no—
1051#379—791no—
1052#379—791no—
1053#379—791no—
1054C4×C22⋊C4—791no—
1055C4×C22⋊C4—791no—
1056C25—791no—
1057C25—791no—
1058C22×Q8—791no—
1059C22×D4—3162no—
1060C22×D4—3162no—
1061C22×D4—791no—
1062C22×D4—791no—
1063C22×D4—791no—
1064C22×D4—791no—
1065C22×D4—791no—
1066C22×D4—791no—
1067C22×D4—791no—
1068C22×D4—791no—
1069C22×D4—791no—
1070C22×D4—791no—
1071C22×D4—791no—
1072C22×D4—791no—
1073C22×D4—791no—
1074C22×D4—791no—
1075C22×D4—1584no—
1076C22×D4C22×D7911yescharacteristic
1077C23×C4—3162no—
1078C23×C4—3162no—
1079C23×C4—791no—
1080C23×C4—791no—
1081C23×C4—791no—
1082C23×C4—791no—
1083C23×C4—791no—
1084C23×C4—791no—
1085C23×C4—791no—
1086C23×C4—791no—
1087C23×C4—791no—
1088C23×C4—791no—
1089C23×C4—1584no—
1090C23×C4C22×D7911yescharacteristic
1091#126—24no—
1092#126—1584no—
1093#124—1584no—
1094#124—1584no—
1095#123—24no—
1096#123—3162no—
1097#123—3162no—
1098#123—3162no—
1099#123—3162no—
1100#123—3162no—
1101#123—3162no—
1102#123—1584no—
1103#123—1584no—
1104#123—1584no—
1105#123—1584no—
1106#123—1584no—
1107#123—1584no—
1108#123—1584no—
1109#123—1584no—
1110#123—1584no—
1111C22⋊Q8—1584no—
1112#121—1584no—
1113#121—1584no—
1114#121—1584no—
1115#120—3162no—
1116#120—3162no—
1117#120—1584no—
1118#120—1584no—
1119C4×D4—1584no—
1120C4×D4—1584no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4—791no—
1124C2×C4⋊C4—791no—
1125C2×C4⋊C4—791no—
1126C2×C4⋊C4—791no—
1127C2×C4⋊C4—791no—
1128C2×C4⋊C4—791no—
1129C2×C4⋊C4—791no—
1130C2×C4⋊C4—791no—
1131C2×C4⋊C4—791no—
1132C2×C4⋊C4—791no—
1133C2×C4⋊C4—791no—
1134C2×C4⋊C4—791no—
1135C2×C4⋊C4—791no—
1136C2×C4⋊C4—791no—
1137C2×C4⋊C4—791no—
1138C2×C4⋊C4—791no—
1139C2×C4⋊C4—1584no—
1140C2×C4⋊C4—1584no—
1141C2×C4⋊C4C22×D7911yescharacteristic
1142C2×C4⋊C4C22×D7911yescharacteristic
1143C2×C4⋊C4C22×D7911yescharacteristic
1144C2×C4⋊C4C22×D7911yescharacteristic
1145C2×C4⋊C4C22×D7911yescharacteristic
1146C2×C4⋊C4C22×D7911yescharacteristic
1147C2×C4⋊C4C22×D7911yescharacteristic
1148C2×C4⋊C4C22×D7911yescharacteristic
1149C2×C4⋊C4C22×D7911yescharacteristic
1150C2×C4⋊C4C22×D7911yescharacteristic
1151C2×C4⋊C4C22×D7911yescharacteristic
1152C2×C4⋊C4C22×D7911yescharacteristic
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4—791no—
1169C2×C22⋊C4—791no—
1170C2×C22⋊C4—791no—
1171C2×C22⋊C4—791no—
1172C2×C22⋊C4—791no—
1173C2×C22⋊C4—791no—
1174C2×C22⋊C4—791no—
1175C2×C22⋊C4—791no—
1176C2×C22⋊C4—791no—
1177C2×C22⋊C4—791no—
1178C2×C22⋊C4—791no—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4—791no—
1182C2×C22⋊C4—798no—
1183C2×C22⋊C4—791no—
1184C2×C22⋊C4—791no—
1185C2×C22⋊C4—791no—
1186C2×C22⋊C4—791no—
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—791no—
1190C2×C22⋊C4—791no—
1191C2×C22⋊C4—791no—
1192C2×C22⋊C4—791no—
1193C2×C22⋊C4—791no—
1194C2×C22⋊C4—791no—
1195C2×C22⋊C4—791no—
1196C2×C22⋊C4—791no—
1197C2×C22⋊C4—791no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—1584no—
1202C2×C22⋊C4—1584no—
1203C2×C22⋊C4C22×D7911yescharacteristic
1204C2×C22⋊C4C22×D7911yescharacteristic
1205C2×C22⋊C4C22×D7911yescharacteristic
1206C2×C22⋊C4C22×D7911yescharacteristic
1207C2×C22⋊C4C22×D7911yescharacteristic
1208C2×C22⋊C4C22×D7911yescharacteristic
1209C2×C22⋊C4C22×D7911yescharacteristic
1210C2×C22⋊C4C22×D7911yescharacteristic
1211C2×C22⋊C4C22×D7911yescharacteristic
1212C2×C22⋊C4C22×D7911yescharacteristic
1213C2×C22⋊C4C22×D7911yescharacteristic
1214C2×C42—791no—
1215C2×C42—791no—
1216C2×C42—791no—
1217C2×C42—791no—
1218C2×C42C22×D7911yescharacteristic
1219C2×C42C22×D7911yescharacteristic
1220#95—791no—
1221#95—791no—
1222#95—791no—
1223#95—791no—
1224#95—791no—
1225#95—791no—
1226#95—791no—
1227#95—791no—
1228#95—791no—
1229#95—791no—
1230#95—791no—
1231#95—791no—
1232#95—791no—
1233#95—791no—
1234#95—791no—
1235#95—791no—
1236#95—791no—
1237#95—791no—
1238#95—791no—
1239#95—791no—
1240#95—791no—
1241#95—791no—
1242#95—791no—
1243#95—791no—
1244#95C22×D7911yescharacteristic
1245#95C22×D7911yescharacteristic
1246#95C22×D7911yescharacteristic
1247#95C22×D7911yescharacteristic
1248#95C22×D7911yescharacteristic
1249#95C22×D7911yescharacteristic
1250#95C22×D7911yescharacteristic
1251#95C22×D7911yescharacteristic
1252C24—3161no—
1253C24—3161no—
1254C24—3161no—
1255C24—3161no—
1256C24—3161no—
1257C24—3161no—
1258C24—3161no—
1259C24—3161no—
1260C24—794no—
1261C24—791no—
1262C24—791no—
1263C24—791no—
1264C24—791no—
1265C24—791no—
1266C24—1582no—
1267C24—1582no—
1268C24—1582no—
1269C24—1582no—
1270C24—1582no—
1271C24C23×D7911yescharacteristic
1272C24C23×D7911yescharacteristic
1273C2×Q8—3161no—
1274C2×Q8—3161no—
1275C2×Q8—1582no—
1276C2×D4—22no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—3161no—
1280C2×D4—3161no—
1281C2×D4—3161no—
1282C2×D4—3161no—
1283C2×D4—3161no—
1284C2×D4—3161no—
1285C2×D4—3161no—
1286C2×D4—3161no—
1287C2×D4—3161no—
1288C2×D4—3161no—
1289C2×D4—3161no—
1290C2×D4—3161no—
1291C2×D4—3161no—
1292C2×D4—3161no—
1293C2×D4—31616no—
1294C2×D4—3161no—
1295C2×D4—3161no—
1296C2×D4—3161no—
1297C2×D4—3161no—
1298C2×D4—3161no—
1299C2×D4—3161no—
1300C2×D4—3161no—
1301C2×D4—3161no—
1302C2×D4—3161no—
1303C2×D4—3161no—
1304C2×D4—3161no—
1305C2×D4—3161no—
1306C2×D4—3161no—
1307C2×D4—3161no—
1308C2×D4—1582no—
1309C2×D4—1582no—
1310C2×D4—1582no—
1311C2×D4—1582no—
1312C2×D4—1582no—
1313C2×D4—1582no—
1314C2×D4—1582no—
1315C2×D4—1582no—
1316C2×D4—1582no—
1317C2×D4—1582no—
1318C2×D4—1582no—
1319C2×D4—1582no—
1320C2×D4—1582no—
1321C2×D4—1582no—
1322C22×C4—22no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—3161no—
1326C22×C4—3161no—
1327C22×C4—3161no—
1328C22×C4—3161no—
1329C22×C4—3161no—
1330C22×C4—3161no—
1331C22×C4—3161no—
1332C22×C4—3161no—
1333C22×C4—3161no—
1334C22×C4—3161no—
1335C22×C4—3161no—
1336C22×C4—3161no—
1337C22×C4—31616no—
1338C22×C4—3161no—
1339C22×C4—3161no—
1340C22×C4—794no—
1341C22×C4—794no—
1342C22×C4—791no—
1343C22×C4—791no—
1344C22×C4—791no—
1345C22×C4—791no—
1346C22×C4—791no—
1347C22×C4—791no—
1348C22×C4—791no—
1349C22×C4—791no—
1350C22×C4—791no—
1351C22×C4—791no—
1352C22×C4—791no—
1353C22×C4—1582no—
1354C22×C4—1582no—
1355C22×C4—1582no—
1356C22×C4—1582no—
1357C22×C4—1582no—
1358C22×C4—1582no—
1359C22×C4—1582no—
1360C22×C4—1582no—
1361C22×C4—1582no—
1362C22×C4—1582no—
1363C22×C4—1582no—
1364C22×C4—1582no—
1365C22×C4—1582no—
1366C22×C4—1582no—
1367C22×C4C23×D7911yescharacteristic
1368C22×C4C23×D7911yescharacteristic
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371C22×C4C23×D7911yescharacteristic
1372C22×C4C23×D7911yescharacteristic
1373C22×C4C23×D7911yescharacteristic
1374C22×C4C23×D7911yescharacteristic
1375C22×C4C23×D7911yescharacteristic
1376C22×C4C23×D7911yescharacteristic
1377C22×C4C23×D7911yescharacteristic
1378C22×C4C23×D7911yescharacteristic
1379C22×C4C23×D7911yescharacteristic
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—41no—
1389C4⋊C4—41no—
1390C4⋊C4—41no—
1391C4⋊C4—41no—
1392C4⋊C4—3161no—
1393C4⋊C4—3161no—
1394C4⋊C4—3161no—
1395C4⋊C4—3161no—
1396C4⋊C4—3161no—
1397C4⋊C4—3161no—
1398C4⋊C4—3161no—
1399C4⋊C4—3161no—
1400C4⋊C4—3161no—
1401C4⋊C4—1582no—
1402C4⋊C4—1582no—
1403C4⋊C4—1582no—
1404C4⋊C4—1582no—
1405C4⋊C4—1582no—
1406C4⋊C4—1582no—
1407C4⋊C4—1582no—
1408C4⋊C4—1582no—
1409C4⋊C4—1582no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—3161no—
1421C22⋊C4—3161no—
1422C22⋊C4—3161no—
1423C22⋊C4—3161no—
1424C22⋊C4—3161no—
1425C22⋊C4—3161no—
1426C22⋊C4—3161no—
1427C22⋊C4—3161no—
1428C22⋊C4—3161no—
1429C22⋊C4—3161no—
1430C22⋊C4—3161no—
1431C22⋊C4—3161no—
1432C22⋊C4—3161no—
1433C22⋊C4—3161no—
1434C22⋊C4—3161no—
1435C22⋊C4—3161no—
1436C22⋊C4—3161no—
1437C22⋊C4—3161no—
1438C22⋊C4—3161no—
1439C22⋊C4—3161no—
1440C22⋊C4—3161no—
1441C22⋊C4—3161no—
1442C22⋊C4—3161no—
1443C22⋊C4—3161no—
1444C22⋊C4—3161no—
1445C22⋊C4—3161no—
1446C22⋊C4—794no—
1447C22⋊C4—794no—
1448C22⋊C4—794no—
1449C22⋊C4—1582no—
1450C22⋊C4—1582no—
1451C22⋊C4—1582no—
1452C22⋊C4—1582no—
1453C22⋊C4—1582no—
1454C22⋊C4—1582no—
1455C22⋊C4—1582no—
1456C22⋊C4—1582no—
1457C22⋊C4—1582no—
1458C22⋊C4—1582no—
1459C22⋊C4—1582no—
1460C22⋊C4—1582no—
1461C22⋊C4—1582no—
1462C22⋊C4—1582no—
1463C22⋊C4—1582no—
1464C22⋊C4—1582no—
1465C22⋊C4—1582no—
1466C22⋊C4—1582no—
1467C22⋊C4D4×D7914yes—
1468C42—22no—
1469C42—41no—
1470C42—3161no—
1471C42—3161no—
1472C42—3161no—
1473C42—1582no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—3164no—
1488C23—3164no—
1489C23—3164no—
1490C23—3164no—
1491C23—3164no—
1492C23—3164no—
1493C23—3164no—
1494C23—3164no—
1495C23—3164no—
1496C23—792no—
1497C23—792no—
1498C23—792no—
1499C23—792no—
1500C23—6322no—
1501C23—6322no—
1502C23—6322no—
1503C23—6322no—
1504C23—1588no—
1505C23—1581no—
1506C23—1581no—
1507C23—1581no—
1508C23—1581no—
1509C23—1581no—
1510C23—1581no—
1511C23—1581no—
1512C23—1581no—
1513C23—1581no—
1514C23—1581no—
1515C23—1581no—
1516C23—1581no—
1517C23—1581no—
1518C23—1581no—
1519C23—1581no—
1520C23—1581no—
1521C23—1581no—
1522C23—1581no—
1523C23—1581no—
1524C23—1581no—
1525C23—1581no—
1526C23—1581no—
1527C23—1581no—
1528C23—1581no—
1529C23—1581no—
1530C23—1581no—
1531C23—1581no—
1532C23—1581no—
1533C23—1581no—
1534C23—1581no—
1535C23—1581no—
1536C23C2×D4×D7912yes—
1537C23C24×D7911yescharacteristic
1538Q8—6322no—
1539D4—44no—
1540D4—3164no—
1541D4—3164no—
1542D4—3164no—
1543D4—3164no—
1544D4—3164no—
1545D4—6322no—
1546D4—6322no—
1547D4—6322no—
1548D4—6322no—
1549D4—6322no—
1550D4—6322no—
1551D4—6322no—
1552D4—6322no—
1553D4—6322no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—44no—
1592C2×C4—3164no—
1593C2×C4—3164no—
1594C2×C4—3164no—
1595C2×C4—3164no—
1596C2×C4—3164no—
1597C2×C4—3164no—
1598C2×C4—3164no—
1599C2×C4—3164no—
1600C2×C4—792no—
1601C2×C4—792no—
1602C2×C4—6322no—
1603C2×C4—6322no—
1604C2×C4—1581no—
1605C2×C4—1581no—
1606C2×C4—1581no—
1607C2×C4—1581no—
1608C2×C4—1581no—
1609C2×C4—1581no—
1610C2×C4—1581no—
1611C2×C4—1581no—
1612C2×C4—1581no—
1613C2×C4—1581no—
1614C2×C4—1581no—
1615C2×C4—1581no—
1616C2×C4—1581no—
1617C2×C4—1581no—
1618C2×C4—1581no—
1619C2×C4—1581no—
1620C2×C4—1581no—
1621C2×C4—1581no—
1622C2×C4—1581no—
1623C2×C4—1581no—
1624C2×C4—1581no—
1625C2×C4—1581no—
1626C2×C4—1581no—
1627C2×C4—1581no—
1628C2×C4—1581no—
1629C2×C4—1581no—
1630C2×C4—1581no—
1631C2×C4—1581no—
1632C2×C4—1581no—
1633C2×C4—1581no—
1634C2×C4—1581no—
1635C2×C4C2×D4×D7912yes—
1636C2×C4C2×D4×D7912yes—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—31616no—
1652C22—3161no—
1653C22—3161no—
1654C22—3161no—
1655C22—3161no—
1656C22—3161no—
1657C22—3161no—
1658C22—3161no—
1659C22—3161no—
1660C22—3161no—
1661C22—3161no—
1662C22—3161no—
1663C22—3161no—
1664C22—3161no—
1665C22—3161no—
1666C22—3161no—
1667C22—3161no—
1668C22—3161no—
1669C22—3161no—
1670C22—3161no—
1671C22—3161no—
1672C22—3161no—
1673C22—3161no—
1674C22—3161no—
1675C22—3161no—
1676C22—3161no—
1677C22—794no—
1678C22—6328no—
1679C22—1582no—
1680C22—1582no—
1681C22—1582no—
1682C22—1582no—
1683C22—1582no—
1684C22—1582no—
1685C22—1582no—
1686C22—1582no—
1687C22—1582no—
1688C22C22×D4×D7911yescharacteristic
1689C22H(5,𝔽2)×D7911yescharacteristic
1690C22H(5,𝔽2)×D7911yescharacteristic
1691C22#1909939911yescharacteristic
1692C22#1909939911yescharacteristic
1693C22#1909940011yescharacteristic
1694C22#1909940011yescharacteristic
1695C4—22no—
1696C4—22no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—3161no—
1709C4—3161no—
1710C4—3161no—
1711C4—3161no—
1712C4—3161no—
1713C4—3161no—
1714C4—3161no—
1715C4—3161no—
1716C4—3161no—
1717C4—1582no—
1718C4—1582no—
1719C2—42no—
1720C2—81no—
1721C2—3162no—
1722C2—6321no—
1723C2—6321no—
1724C2—6321no—
1725C2—1584no—
1726C2#535×D7911yescharacteristic
1727C2#2377703911yescharacteristic
1728C2#2377703911yescharacteristic
1729C2#2377755811yescharacteristic
1730C2#2377756311yescharacteristic
1731C2#2377757511yescharacteristic
1732C2#2377757611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2718C2
hypercenter#2718D79
hypocenterC79#36956
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2718

Complements

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

NH ≅ G/Ntype
1. C2×#19099152C2semidirect
2. C2×#123×D79C2semidirect
3. #23771695C2semidirect
4. #23771695C2semidirect
5. #23770245C2semidirect
6. #23770244C2semidirect
7. #23770243C2semidirect
8. #23770148C2semidirect
9. #23770146C2semidirect
10. #23770145C2semidirect
11. #23770143C2semidirect
12. #23770094C2semidirect
13. #23770093C2semidirect
14. #23770090C2semidirect
15. #23770089C2semidirect
16. #23770042C2semidirect
17. #23770041C2semidirect
18. #23770038C2semidirect
19. #23770037C2semidirect
20. #23769113C2semidirect
21. #23769113C2semidirect
22. #23768556C2semidirect
23. #23768327C2semidirect
24. #23768294C2semidirect
25. #23768291C2semidirect
26. #23767880C2semidirect
27. #23767868C2semidirect
28. #23767706C2semidirect
29. #23767703C2semidirect
30. #23765994C2semidirect
31. C79×#2718C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579149C22semidirect
37. C2×#14579147C22semidirect
46. C2×#14579146C22semidirect
51. C2×#14579143C22semidirect
56. C2×#14579136C22semidirect
57. C2×#14579134C22semidirect
69. #19098503C22semidirect
70. #19098502C22semidirect
71. #19098501C22semidirect
72. #19098498C22semidirect
73. #19098498C22semidirect
74. #19098498C22semidirect
75. #19098498C22semidirect
76. #19098498C22semidirect
77. #19098496C22semidirect
78. #19098496C22semidirect
79. #19098493C22semidirect
80. #19098492C22semidirect
81. #19098492C22semidirect
82. #19098492C22semidirect
83. #19098491C22semidirect
84. #19098490C22semidirect
85. #19098489C22semidirect
86. #19098486C22semidirect
87. #19098485C22semidirect
88. #19098485C22semidirect
89. #19098481C22semidirect
92. #19098480C22semidirect
93. #19098479C22semidirect
98. #19098478C22semidirect
99. #19098476C22semidirect
100. #19098475C22semidirect
103. #19098473C22semidirect
108. #19098472C22semidirect
111. #19098467C22semidirect
112. #19098467C22semidirect
113. #19098465C22semidirect
114. #19098464C22semidirect
115. #19098464C22semidirect
116. #19098464C22semidirect
117. #19098463C22semidirect
118. #19098463C22semidirect
119. #19098461C22semidirect
120. #19098458C22semidirect
121. #19098458C22semidirect
122. #19098457C22semidirect
123. #19098457C22semidirect
124. #19098457C22semidirect
125. #19098456C22semidirect
126. #19098455C22semidirect
127. #19098454C22semidirect
128. #19098454C22semidirect
129. #19098454C22semidirect
130. #19098453C22semidirect
131. #19098453C22semidirect
132. #19098453C22semidirect
133. #19098452C22semidirect
134. #19098451C22semidirect
135. #19098442C22semidirect
136. #19098442C22semidirect
137. #19098441C22semidirect
138. #19098441C22semidirect
139. #19098441C22semidirect
140. #19098441C22semidirect
141. #19098441C22semidirect
142. #19098441C22semidirect
143. #19098440C22semidirect
144. #19098440C22semidirect
145. #19098439C22semidirect
146. #19098439C22semidirect
147. #19098435C22semidirect
148. #19098435C22semidirect
149. #19098434C22semidirect
150. #19098434C22semidirect
151. #19098434C22semidirect
152. #19098434C22semidirect
153. #19098432C22semidirect
154. #19098427C22semidirect
155. #19098427C22semidirect
163. #19098422C22semidirect
164. #19098422C22semidirect
166. #19098420C22semidirect
167. #19098420C22semidirect
174. C2×#126×C79C22semidirect
176. #400×C79C22semidirect
177. #399×C79C22semidirect
178. #398×C79C22semidirect
179. #396×C79C22semidirect
182. #389×C79C22semidirect
183. #388×C79C22semidirect
184. #388×C79C22semidirect
185. #388×C79C22semidirect
186. #385×C79C22semidirect
187. #385×C79C22semidirect
188. #384×C79C22semidirect
319. C22⋊C4×D79D4semidirect
874. #2718D79semidirect
898. C79#36956semidirect
903. C2×#126C2×D79semidirect
941. #400C2×D79semidirect
947. #399C2×D79semidirect
951. #398C2×D79semidirect
961. #396C2×D79semidirect
997. #389C2×D79semidirect
1011. #388C2×D79semidirect
1012. #388C2×D79semidirect
1013. #388C2×D79semidirect
1032. #385C2×D79semidirect
1033. #385C2×D79semidirect
1035. #384C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991522
C2×#123×D792
#237716952
#237702452
#237702442
#237702432
#237701482
#237701462
#237701452
#237701432
#237700942
#237700932
#237700902
#237700892
#237700422
#237700412
#237700382
#237700372
#237691132
#237685562
#237683272
#237682942
#237682912
#237678802
#237678682
#237677062
#237677032
#237659942
C79×#27182
#3695679