Finite Group Databasebeta

← #34501883

Subgroups — #34501883

Order 20224.

2586 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099149C211yesmaximal, characteristic, complemented
2C2×#124×D79C211yesmaximal, characteristic, complemented
3#23771738C211yesmaximal, characteristic, complemented
4#23771727C211yesmaximal, characteristic, complemented
5#23770217C211yesmaximal, characteristic, complemented
6#23770213C211yesmaximal, characteristic, complemented
7#23770208C211yesmaximal, characteristic, complemented
8#23770204C211yesmaximal, characteristic, complemented
9#23770173C211yesmaximal, characteristic, complemented
10#23770172C211yesmaximal, characteristic, complemented
11#23770168C211yesmaximal, characteristic, complemented
12#23770166C211yesmaximal, characteristic, complemented
13#23769705C211yesmaximal, characteristic, complemented
14#23769703C211yesmaximal, characteristic, complemented
15#23769697C211yesmaximal, characteristic, complemented
16#23769695C211yesmaximal, characteristic, complemented
17#23769656C211yesmaximal, characteristic, complemented
18#23769651C211yesmaximal, characteristic, complemented
19#23769648C211yesmaximal, characteristic, complemented
20#23769206C211yesmaximal, characteristic, complemented
21#23769139C211yesmaximal, characteristic, complemented
22#23768291C211yesmaximal, characteristic, complemented
23#23768288C211yesmaximal, characteristic, complemented
24#23766793C211yesmaximal, characteristic, complemented
25#23766791C211yesmaximal, characteristic, complemented
26#23766771C211yesmaximal, characteristic, complemented
27#23766769C211yesmaximal, characteristic, complemented
28#23766761C211yesmaximal, characteristic, complemented
29#23766760C211yesmaximal, characteristic, complemented
30#23766011C211yesmaximal, characteristic, complemented
31C79×#2672C211yesmaximal, characteristic, complemented
32C22×Q8×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099149—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579154C2211yescharacteristic, complemented
37C2×#14579150C2211yescharacteristic
38C2×#14579149C2211yescharacteristic
39C2×#14579148C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic, complemented
45C2×#14579147C2211yescharacteristic, complemented
46#124×D79—28no—
47C2×#14579146C2211yescharacteristic
48C2×#14579146C2211yescharacteristic, complemented
49C2×#14579143C2211yescharacteristic
50C2×#14579141C2211yescharacteristic
51C2×#14579140C2211yescharacteristic, complemented
52C2×#14579139C2211yescharacteristic, complemented
53C2×#14579139C2211yescharacteristic, complemented
54C2×#14579136C2211yescharacteristic
55C2×#14579135C2211yescharacteristic, complemented
56C2×#14579134C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579133C2211yescharacteristic
59C2×#14579132C2211yescharacteristic, complemented
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579129C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×#14579123C2211yescharacteristic
65C2×C4×C22⋊D79C2211yescharacteristic
66C22×(C2×D79)⋊C4C2211yescharacteristic
67C2×C22⋊C4×D79C2211yescharacteristic
68C2×C22⋊C4×D79C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C22⋊C4×D79C2211yescharacteristic
71C2×C22⋊C4×D79C2211yescharacteristic
72C2×C42×D79C2211yescharacteristic
73#19098498C2211yescharacteristic, complemented
74#19098492C2211yescharacteristic, complemented
75#19098492C2211yescharacteristic, complemented
76#19098491C2211yescharacteristic, complemented
77#19098491C2211yescharacteristic, complemented
78#19098489C2211yescharacteristic, complemented
79#19098488C2211yescharacteristic, complemented
80#19098487C2211yescharacteristic, complemented
81#19098486C2211yescharacteristic, complemented
82#19098486C2211yescharacteristic, complemented
83#19098486C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098483C2211yescharacteristic, complemented
88#19098483C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098481C2211yescharacteristic, complemented
91#19098480C2211yescharacteristic
92#19098480C2211yescharacteristic, complemented
93#19098480C2211yescharacteristic, complemented
94#19098480C2211yescharacteristic, complemented
95#19098479C2211yescharacteristic, complemented
96#19098479C2211yescharacteristic, complemented
97#19098479C2211yescharacteristic, complemented
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic, complemented
101#19098477C2211yescharacteristic, complemented
102#19098477C2211yescharacteristic, complemented
103#19098476C2211yescharacteristic, complemented
104#19098476C2211yescharacteristic, complemented
105#19098475C2211yescharacteristic, complemented
106#19098475C2211yescharacteristic, complemented
107#19098475C2211yescharacteristic, complemented
108#19098474C2211yescharacteristic, complemented
109#19098472C2211yescharacteristic
110#19098472C2211yescharacteristic
111#19098472C2211yescharacteristic, complemented
112#19098471C2211yescharacteristic
113#19098471C2211yescharacteristic
114#19098471C2211yescharacteristic, complemented
115#19098470C2211yescharacteristic, complemented
116#19098469C2211yescharacteristic, complemented
117#19098468C2211yescharacteristic, complemented
118#19098468C2211yescharacteristic, complemented
119#19098467C2211yescharacteristic, complemented
120#19098467C2211yescharacteristic, complemented
121#19098463C2211yescharacteristic, complemented
122#19098463C2211yescharacteristic, complemented
123#19098460C2211yescharacteristic, complemented
124#19098459C2211yescharacteristic, complemented
125#19098458C2211yescharacteristic, complemented
126#19098457C2211yescharacteristic, complemented
127#19098455C2211yescharacteristic, complemented
128#19098455C2211yescharacteristic, complemented
129#19098454C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic, complemented
131#19098451C2211yescharacteristic, complemented
132#19098451C2211yescharacteristic, complemented
133#19098450C2211yescharacteristic, complemented
134#19098450C2211yescharacteristic, complemented
135#19098449C2211yescharacteristic, complemented
136#19098449C2211yescharacteristic, complemented
137#19098443C2211yescharacteristic
138#19098442C2211yescharacteristic
139#19098442C2211yescharacteristic, complemented
140#19098442C2211yescharacteristic, complemented
141#19098441C2211yescharacteristic
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic
144#19098441C2211yescharacteristic, complemented
145#19098440C2211yescharacteristic, complemented
146#19098439C2211yescharacteristic
147#19098439C2211yescharacteristic
148#19098439C2211yescharacteristic
149#19098439C2211yescharacteristic, complemented
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098438C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic, complemented
154#19098437C2211yescharacteristic, complemented
155#19098436C2211yescharacteristic, complemented
156#19098435C2211yescharacteristic, complemented
157#19098434C2211yescharacteristic
158#19098434C2211yescharacteristic
159#19098434C2211yescharacteristic
160#19098434C2211yescharacteristic
161#19098434C2211yescharacteristic, complemented
162#19098434C2211yescharacteristic, complemented
163#19098425C2211yescharacteristic
164#19098425C2211yescharacteristic
165#19098422C2211yescharacteristic
166#19098422C2211yescharacteristic
167#19098422C2211yescharacteristic, complemented
168#19098421C2211yescharacteristic, complemented
169#19098420C2211yescharacteristic
170#19098420C2211yescharacteristic
171#19098420C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic
173#19098418C2211yescharacteristic
174C2×#124×C79C2211yescharacteristic
175C2×#123×C79C2211yescharacteristic, complemented
176C2×C22⋊Q8×C79C2211yescharacteristic, complemented
177C2×#121×C79C2211yescharacteristic
178#399×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#395×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic
182#394×C79C2211yescharacteristic, complemented
183#394×C79C2211yescharacteristic, complemented
184#389×C79C2211yescharacteristic, complemented
185#388×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic, complemented
187#385×C79C2211yescharacteristic, complemented
188#380×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C22×Dic158C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C2×Q8×D79—24no—
196C2×Q8×D79—42no—
197C2×Q8×D79—42no—
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
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
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#14579154—24no—
224#14579150—24no—
225#14579149—24no—
226#14579148—24no—
227#14579147—24no—
228#14579147—24no—
229#14579147—24no—
230#14579147—24no—
231#14579147—24no—
232#14579147—24no—
233#14579146—24no—
234#14579146—42no—
235#14579143—42no—
236#14579141—24no—
237#14579140—42no—
238#14579139—42no—
239#14579139—42no—
240#14579136—42no—
241#14579135—24no—
242#14579134—24no—
243#14579134—42no—
244#14579133—42no—
245#14579132—24no—
246#14579131—24no—
247#14579131—42no—
248#14579129—24no—
249#14579129—42no—
250#14579123—24no—
251C4×C22⋊D79—24no—
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×Dic79⋊C4C2311yescharacteristic
258C2×Dic79⋊C4C2311yescharacteristic
259C2×Dic79⋊C4C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×C22⋊Dic79C2311yescharacteristic
270C2×C22⋊Dic79C2311yescharacteristic
271C2×C22⋊Dic79C2311yescharacteristic
272C2×C22⋊Dic79C2311yescharacteristic
273C2×C22⋊Dic79C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×(C2×D79)⋊C4—42no—
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
315C22⋊C4×D79—24no—
316C22⋊C4×D79—24no—
317C22⋊C4×D79—24no—
318C22⋊C4×D79—42no—
319C22⋊C4×D79D418yescomplemented
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C2×C4×Dic79C2311yescharacteristic
323C2×C4×Dic79C2311yescharacteristic
324C2×C4×Dic79C2311yescharacteristic
325C42×D79—24no—
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
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C22×Q8×C79C2311yescharacteristic
353C22×D4×C79C2311yescharacteristic
354C22×D4×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358#124×C79—24no—
359#123×C79—24no—
360C22⋊Q8×C79—42no—
361#121×C79—42no—
362C2×C4⋊C4×C79C2311yescharacteristic
363C2×C4⋊C4×C79C2311yescharacteristic
364C2×C4⋊C4×C79C2311yescharacteristic
365C2×C4⋊C4×C79C2311yescharacteristic
366C2×C4⋊C4×C79C2311yescharacteristic
367C2×C4⋊C4×C79C2311yescharacteristic
368C2×C4⋊C4×C79C2311yescharacteristic
369C2×C4⋊C4×C79C2311yescharacteristic
370C2×C4⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C42×C79C2311yescharacteristic
385#95×C79C2311yescharacteristic
386#95×C79C2311yescharacteristic
387#95×C79C2311yescharacteristic
388#95×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391C23×D79—22no—
392C23×D79—22no—
393C23×D79—22no—
394C23×D79—22no—
395C23×D79—22no—
396C23×D79—41no—
397C23×D79—41no—
398C23×D79—41no—
399C23×D79—41no—
400C23×D79—41no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79C2×D414yes—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C2×Dic158—22no—
410C2×Dic158—22no—
411C2×Dic158—22no—
412C2×Dic158—22no—
413C2×Dic158—22no—
414C2×Dic158—22no—
415C2×Dic158—22no—
416C2×Dic158—41no—
417C2×Dic158—41no—
418C2×Dic158—41no—
419C2×Dic158—41no—
420C2×Dic158—41no—
421Q8×D79—416no—
422C2×D316—22no—
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—22no—
426C2×D316—22no—
427C2×D316—22no—
428C2×D316—41no—
429C2×D316—41no—
430C2×D316—41no—
431C2×D316—41no—
432C2×D316—41no—
433C2×D316—41no—
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—22no—
443C2×C22⋊D79—22no—
444C2×C22⋊D79—41no—
445C2×C22⋊D79—41no—
446C2×C22⋊D79—41no—
447C2×C22⋊D79—41no—
448C2×C22⋊D79—41no—
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—
458D4×D79—416no—
459C22×Dic79—41no—
460C22×Dic79—41no—
461C22×Dic79—41no—
462C22×Dic79C2411yescharacteristic
463C22×Dic79C2411yescharacteristic
464C22×Dic79C2411yescharacteristic
465C22×Dic79C2411yescharacteristic
466C22×Dic79C2411yescharacteristic
467C22×Dic79C2411yescharacteristic
468C22×Dic79C2411yescharacteristic
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C2×C4×D79—22no—
475C2×C4×D79—22no—
476C2×C4×D79—22no—
477C2×C4×D79—22no—
478C2×C4×D79—22no—
479C2×C4×D79—22no—
480C2×C4×D79—22no—
481C2×C4×D79—22no—
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—41no—
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×D79C2×D414yes—
497C2×C4×D79C2×D414yes—
498C4⋊Dic79—22no—
499C4⋊Dic79—22no—
500C4⋊Dic79—41no—
501C4⋊Dic79—41no—
502C4⋊Dic79—41no—
503Dic79⋊C4—22no—
504Dic79⋊C4—22no—
505Dic79⋊C4—22no—
506Dic79⋊C4—22no—
507Dic79⋊C4—41no—
508Dic79⋊C4—41no—
509Dic79⋊C4—41no—
510Dic79⋊C4—41no—
511Dic79⋊C4—41no—
512Dic79⋊C4—41no—
513Dic79⋊C4—41no—
514Dic79⋊C4—41no—
515C22⋊Dic79—22no—
516C22⋊Dic79—22no—
517C22⋊Dic79—22no—
518C22⋊Dic79—22no—
519C22⋊Dic79—22no—
520C22⋊Dic79—22no—
521C22⋊Dic79—41no—
522C22⋊Dic79—41no—
523C22⋊Dic79—41no—
524C22⋊Dic79—41no—
525C22⋊Dic79—41no—
526C22⋊Dic79—41no—
527C22⋊Dic79C2×D414yes—
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—22no—
541(C2×D79)⋊C4—22no—
542(C2×D79)⋊C4—22no—
543(C2×D79)⋊C4—22no—
544(C2×D79)⋊C4—22no—
545(C2×D79)⋊C4—22no—
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)⋊C4—41no—
556(C2×D79)⋊C4—41no—
557(C2×D79)⋊C4—41no—
558(C2×D79)⋊C4C2×D414yes—
559(C2×D79)⋊C4C2×D414yes—
560C4×Dic79—22no—
561C4×Dic79—22no—
562C4×Dic79—22no—
563C4×Dic79—22no—
564C4×Dic79—22no—
565C24×C79C2411yescharacteristic
566C24×C79C2411yescharacteristic
567C24×C79C2411yescharacteristic
568C2×Q8×C79—22no—
569C2×Q8×C79—22no—
570C2×Q8×C79—41no—
571C2×D4×C79—22no—
572C2×D4×C79—22no—
573C2×D4×C79—22no—
574C2×D4×C79—41no—
575C2×D4×C79—41no—
576C2×D4×C79—41no—
577C2×D4×C79—41no—
578C2×D4×C79—41no—
579C2×D4×C79—41no—
580C22×C4×C79—22no—
581C22×C4×C79—41no—
582C22×C4×C79—41no—
583C22×C4×C79—41no—
584C22×C4×C79—41no—
585C22×C4×C79—41no—
586C22×C4×C79C2411yescharacteristic
587C22×C4×C79C2411yescharacteristic
588C22×C4×C79C2411yescharacteristic
589C22×C4×C79C2411yescharacteristic
590C22×C4×C79C2411yescharacteristic
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2411yescharacteristic
593C22×C4×C79C2411yescharacteristic
594C22×C4×C79C2411yescharacteristic
595C22×C4×C79C2411yescharacteristic
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C4⋊C4×C79—22no—
599C4⋊C4×C79—22no—
600C4⋊C4×C79—22no—
601C4⋊C4×C79—22no—
602C4⋊C4×C79—41no—
603C4⋊C4×C79—41no—
604C4⋊C4×C79—41no—
605C4⋊C4×C79—41no—
606C4⋊C4×C79—41no—
607C22⋊C4×C79—22no—
608C22⋊C4×C79—22no—
609C22⋊C4×C79—22no—
610C22⋊C4×C79—22no—
611C22⋊C4×C79—22no—
612C22⋊C4×C79—22no—
613C22⋊C4×C79—41no—
614C22⋊C4×C79—41no—
615C22⋊C4×C79—41no—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79—41no—
619C22⋊C4×C79C2×D414yes—
620C42×C79—22no—
621C23×C79—21no—
622C23×C79—21no—
623C23×C79—21no—
624C23×C79—21no—
625C23×C79—21no—
626C23×C79—21no—
627C23×C79—21no—
628C23×C79—21no—
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×C79C22×D412yes—
642C23×C79C2511yescharacteristic
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—28no—
654C22×D79—21no—
655C22×D79—21no—
656C22×D79—21no—
657C22×D79—21no—
658C22×D79—21no—
659C22×D79—21no—
660C22×D79—21no—
661C22×D79—21no—
662C22×D79—21no—
663C22×D79—21no—
664C22×D79—21no—
665C22×D79—21no—
666C22×D79—21no—
667C22×D79—21no—
668C22×D79—44no—
669C22×D79—44no—
670C22×D79—44no—
671C22×D79—44no—
672C22×D79—44no—
673C22×D79—82no—
674C22×D79—82no—
675C22×D79—82no—
676C22×D79—82no—
677C22×D79—82no—
678C22×D79—82no—
679C22×D79—82no—
680C22×D79—82no—
681C22×D79C22×D412yes—
682C22×D79C22×D412yes—
683C22×D79H(5,𝔽2)12yes—
684C22×D792−1+412yes—
685Q8×C79—44no—
686D4×C79—44no—
687D4×C79—82no—
688D4×C79—82no—
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—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—82no—
723C2×C4×C79—82no—
724C2×C4×C79C22×D412yes—
725C2×C4×C79C22×D412yes—
726C2×C4×C79H(5,𝔽2)12yes—
727C22⋊D79—44no—
728C22⋊D79—44no—
729C22⋊D79—44no—
730C22⋊D79—82no—
731C22⋊D79—82no—
732C22⋊D79—82no—
733C22⋊D79—82no—
734C22⋊D79—82no—
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—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—82no—
769C2×Dic79C22×D412yes—
770C2×Dic79C22×D412yes—
771C2×Dic79H(5,𝔽2)12yes—
772D316—44no—
773D316—44no—
774D316—82no—
775D316—82no—
776C4×D79—28no—
777C4×D79—44no—
778C4×D79—44no—
779C4×D79—44no—
780C4×D79—44no—
781C4×D79—82no—
782C4×D79—82no—
783C4×D79—82no—
784Dic158—44no—
785Dic158—44no—
786Dic158—44no—
787Dic158—82no—
788C22×C79—22no—
789C22×C79—22no—
790C22×C79—22no—
791C22×C79—41no—
792C22×C79—41no—
793C22×C79—41no—
794C22×C79—41no—
795C22×C79—41no—
796C22×C79—41no—
797C22×C79—41no—
798C22×C79—41no—
799C22×C79—41no—
800C22×C79—41no—
801C22×C79—41no—
802C22×C79—41no—
803C22×C79—41no—
804C22×C79—41no—
805C22×C79—41no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79C23×D411yescharacteristic
810C22×C79C2×H(5,𝔽2)11yescharacteristic
811C22×C79C2×H(5,𝔽2)11yescharacteristic
812C22×C79C2×H(5,𝔽2)11yescharacteristic
813C22×C79C2×2−1+411yescharacteristic
814C22×C79#58511yescharacteristic
815C22×C79#58511yescharacteristic
816C2×D79—22no—
817C2×D79—22no—
818C2×D79—22no—
819C2×D79—22no—
820C2×D79—22no—
821C2×D79—22no—
822C2×D79—22no—
823C2×D79—22no—
824C2×D79—22no—
825C2×D79—41no—
826C2×D79—41no—
827C2×D79—41no—
828C2×D79—41no—
829C2×D79—41no—
830C2×D79—41no—
831C2×D79—41no—
832C2×D79—41no—
833C2×D79—41no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—41no—
843C2×D79—88no—
844C2×D79—88no—
845C2×D79#53714yes—
846C4×C79—22no—
847C4×C79—22no—
848C4×C79—22no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79—41no—
854C4×C79—41no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858Dic79—22no—
859Dic79—22no—
860Dic79—22no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868Dic79—41no—
869Dic79—41no—
870#36957—791nomaximal, Sylow
871C2×C79—42no—
872C2×C79—81no—
873C2×C79—81no—
874C2×C79C2×#53711yescharacteristic
875C2×C79#348411yescharacteristic
876C2×C79#348511yescharacteristic
877C2×C79#355811yescharacteristic
878C2×C79#355811yescharacteristic
879C2×C79#356111yescharacteristic
880C2×C79#356111yescharacteristic
881D79—24no—
882D79—42no—
883D79—81no—
884D79—81no—
885C2×#538—791no—
886C22×#124—791no—
887#2855—791no—
888#2854—791no—
889#2715—791no—
890#2715—791no—
891#2715—791no—
892#2715—791no—
893#2712—791no—
894#2712—791no—
895#2712—791no—
896#2712—791no—
897#2676—791no—
898#2676—791no—
899#2676—791no—
900#2676—791no—
901#2672—791no—
902#2672—791no—
903#2672—791no—
904#2672D7911yescharacteristic, complemented
905#2626—791no—
906#2617—791no—
907#2534—791no—
908#2534—791no—
909#2412—791no—
910#2412—791no—
911#2410—791no—
912#2410—791no—
913#2409—791no—
914#2409—791no—
915#2315—791no—
916C79#3695711yescharacteristic, complemented, Sylow
917C23×Q8—791no—
918C23×D4—791no—
919#538—1588no—
920C2×#126—791no—
921C2×#126—791no—
922C2×#124—791no—
923C2×#124—791no—
924C2×#124—791no—
925C2×#124—791no—
926C2×#124—791no—
927C2×#124—791no—
928C2×#124—791no—
929C2×#124—791no—
930C2×#124—791no—
931C2×#124—1588no—
932C2×#124C2×D7911yescharacteristic
933C2×#123—791no—
934C2×#123—791no—
935C2×#123—791no—
936C2×#123C2×D7911yescharacteristic, complemented
937C2×C22⋊Q8—791no—
938C2×C22⋊Q8—791no—
939C2×C22⋊Q8—791no—
940C2×C22⋊Q8—791no—
941C2×C22⋊Q8C2×D7911yescharacteristic, complemented
942C2×#121—791no—
943C2×#121—791no—
944C2×#121—791no—
945C2×#121—791no—
946C2×#121—791no—
947C2×#121—791no—
948C2×#121C2×D7911yescharacteristic
949C2×#120—791no—
950C2×#120—791no—
951C2×#120—791no—
952C2×#120—791no—
953C2×C4×D4—791no—
954C2×C4×D4—791no—
955C22×C22⋊C4—791no—
956C22×C22⋊C4—791no—
957C22×C22⋊C4—791no—
958C22×C22⋊C4—791no—
959C22×C22⋊C4—791no—
960C22×C22⋊C4—791no—
961C22×C42—791no—
962#399—791no—
963#399C2×D7911yescharacteristic, complemented
964#397—791no—
965#397—791no—
966#397—791no—
967#397—791no—
968#397—791no—
969#397—791no—
970#396—791no—
971#396—791no—
972#396—791no—
973#396—791no—
974#396—791no—
975#396—791no—
976#396—791no—
977#396C2×D7911yescharacteristic, complemented
978#395—791no—
979#395—791no—
980#395—791no—
981#395C2×D7911yescharacteristic, complemented
982#394—791no—
983#394—791no—
984#394—791no—
985#394—791no—
986#394—791no—
987#394—791no—
988#394—791no—
989#394—791no—
990#394—791no—
991#394—791no—
992#394—791no—
993#394—791no—
994#394—791no—
995#394C2×D7911yescharacteristic
996#394C2×D7911yescharacteristic, complemented
997#394C2×D7911yescharacteristic, complemented
998#393—791no—
999#393—791no—
1000#393—791no—
1001#393—791no—
1002#393—791no—
1003#393—791no—
1004#392—791no—
1005#392—791no—
1006#392—791no—
1007#392—791no—
1008#392—791no—
1009#392—791no—
1010#391—791no—
1011#391—791no—
1012#391—791no—
1013#391—791no—
1014#391—791no—
1015#391—791no—
1016#390—791no—
1017#390—791no—
1018#389—791no—
1019#389—791no—
1020#389—791no—
1021#389C2×D7911yescharacteristic, complemented
1022#388—791no—
1023#388—791no—
1024#388—791no—
1025#388—791no—
1026#388—791no—
1027#388—791no—
1028#388—791no—
1029#388C2×D7911yescharacteristic, complemented
1030#387—791no—
1031#387—791no—
1032#387—791no—
1033#387—791no—
1034#386—791no—
1035#386—791no—
1036#386—791no—
1037#386—791no—
1038#386—791no—
1039#386—791no—
1040#386—791no—
1041#386—791no—
1042#386—791no—
1043#386—791no—
1044#386—791no—
1045#386—791no—
1046#386—791no—
1047#386—791no—
1048#386—791no—
1049#386C2×D7911yescharacteristic, complemented
1050#385—791no—
1051#385—791no—
1052#385—791no—
1053#385—791no—
1054#385—791no—
1055#385—791no—
1056#385—791no—
1057#385—791no—
1058#385—791no—
1059#385—791no—
1060#385—791no—
1061#385C2×D7911yescharacteristic, complemented
1062#381—791no—
1063#381—791no—
1064#380—791no—
1065#380—791no—
1066#380—791no—
1067#380—791no—
1068#380—791no—
1069#380—791no—
1070#380—791no—
1071#380C2×D7911yescharacteristic, complemented
1072#379—791no—
1073#379—791no—
1074C25—791no—
1075C25—791no—
1076C22×Q8—3162no—
1077C22×Q8—3162no—
1078C22×Q8—791no—
1079C22×Q8—791no—
1080C22×Q8—791no—
1081C22×Q8—791no—
1082C22×Q8—1584no—
1083C22×Q8C22×D7911yescharacteristic
1084C22×D4—3162no—
1085C22×D4—3162no—
1086C22×D4—791no—
1087C22×D4—791no—
1088C22×D4—791no—
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—791no—
1092C22×D4—791no—
1093C22×D4—791no—
1094C22×D4—791no—
1095C22×D4—791no—
1096C22×D4—791no—
1097C22×D4—791no—
1098C22×D4—1584no—
1099C22×D4C22×D7911yescharacteristic
1100C22×D4C22×D7911yescharacteristic
1101C22×D4C22×D7911yescharacteristic
1102C23×C4—791no—
1103C23×C4—791no—
1104C23×C4—791no—
1105C23×C4—791no—
1106C23×C4—791no—
1107C23×C4—791no—
1108C23×C4—791no—
1109C23×C4—791no—
1110C23×C4—791no—
1111C23×C4C22×D7911yescharacteristic
1112C23×C4C22×D7911yescharacteristic
1113#126—1584no—
1114#126—1584no—
1115#124—24no—
1116#124—1584no—
1117#124—1584no—
1118#124—1584no—
1119#124—1584no—
1120#124—1584no—
1121#124—1584no—
1122#124—1584no—
1123#124—1584no—
1124#124—1584no—
1125#123—24no—
1126#123—3162no—
1127#123—3162no—
1128#123—1584no—
1129C22⋊Q8—42no—
1130C22⋊Q8—3162no—
1131C22⋊Q8—3162no—
1132C22⋊Q8—3162no—
1133C22⋊Q8—1584no—
1134#121—42no—
1135#121—3162no—
1136#121—3162no—
1137#121—3162no—
1138#121—1584no—
1139#121—1584no—
1140#121—1584no—
1141#120—3162no—
1142#120—3162no—
1143#120—1584no—
1144#120—1584no—
1145C4×D4—1584no—
1146C4×D4—1584no—
1147C2×C4⋊C4—791no—
1148C2×C4⋊C4—791no—
1149C2×C4⋊C4—791no—
1150C2×C4⋊C4—791no—
1151C2×C4⋊C4—791no—
1152C2×C4⋊C4—791no—
1153C2×C4⋊C4—791no—
1154C2×C4⋊C4—791no—
1155C2×C4⋊C4—791no—
1156C2×C4⋊C4—791no—
1157C2×C4⋊C4—791no—
1158C2×C4⋊C4—791no—
1159C2×C4⋊C4—791no—
1160C2×C4⋊C4—791no—
1161C2×C4⋊C4—791no—
1162C2×C4⋊C4—791no—
1163C2×C4⋊C4—791no—
1164C2×C4⋊C4C22×D7911yescharacteristic
1165C2×C4⋊C4C22×D7911yescharacteristic
1166C2×C4⋊C4C22×D7911yescharacteristic
1167C2×C4⋊C4C22×D7911yescharacteristic
1168C2×C4⋊C4C22×D7911yescharacteristic
1169C2×C4⋊C4C22×D7911yescharacteristic
1170C2×C4⋊C4C22×D7911yescharacteristic
1171C2×C4⋊C4C22×D7911yescharacteristic
1172C2×C4⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4—3162no—
1174C2×C22⋊C4—3162no—
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—791no—
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—798no—
1197C2×C22⋊C4—791no—
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—1584no—
1222C2×C22⋊C4—1584no—
1223C2×C22⋊C4—1584no—
1224C2×C22⋊C4C22×D7911yescharacteristic
1225C2×C22⋊C4C22×D7911yescharacteristic
1226C2×C22⋊C4C22×D7911yescharacteristic
1227C2×C22⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4C22×D7911yescharacteristic
1229C2×C22⋊C4C22×D7911yescharacteristic
1230C2×C22⋊C4C22×D7911yescharacteristic
1231C2×C22⋊C4C22×D7911yescharacteristic
1232C2×C22⋊C4C22×D7911yescharacteristic
1233C2×C22⋊C4C22×D7911yescharacteristic
1234C2×C22⋊C4C22×D7911yescharacteristic
1235C2×C22⋊C4C22×D7911yescharacteristic
1236C2×C22⋊C4C22×D7911yescharacteristic
1237C2×C42—791no—
1238C2×C42—791no—
1239C2×C42—791no—
1240C2×C42—791no—
1241C2×C42—791no—
1242C2×C42—1584no—
1243C2×C42C22×D7911yescharacteristic
1244#95—791no—
1245#95—791no—
1246#95—791no—
1247#95—791no—
1248#95—791no—
1249#95—791no—
1250#95—791no—
1251#95—791no—
1252#95—791no—
1253#95—791no—
1254#95—791no—
1255#95—791no—
1256#95—791no—
1257#95—791no—
1258#95—791no—
1259#95—791no—
1260#95—791no—
1261#95—791no—
1262#95—791no—
1263#95—791no—
1264#95—791no—
1265#95—791no—
1266#95—791no—
1267#95—791no—
1268#95—791no—
1269#95—791no—
1270#95C22×D7911yescharacteristic
1271#95C22×D7911yescharacteristic
1272#95C22×D7911yescharacteristic
1273#95C22×D7911yescharacteristic
1274#95C22×D7911yescharacteristic
1275#95C22×D7911yescharacteristic
1276C24—3161no—
1277C24—3161no—
1278C24—3161no—
1279C24—3161no—
1280C24—3161no—
1281C24—3161no—
1282C24—3161no—
1283C24—3161no—
1284C24—794no—
1285C24—791no—
1286C24—791no—
1287C24—791no—
1288C24—791no—
1289C24—1582no—
1290C24—1582no—
1291C24—1582no—
1292C24—1582no—
1293C24—1582no—
1294C24C23×D7911yescharacteristic
1295C24C23×D7911yescharacteristic
1296C24C23×D7911yescharacteristic
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8—41no—
1300C2×Q8—3161no—
1301C2×Q8—3161no—
1302C2×Q8—3161no—
1303C2×Q8—3161no—
1304C2×Q8—3161no—
1305C2×Q8—31616no—
1306C2×Q8—1582no—
1307C2×Q8—1582no—
1308C2×Q8—1582no—
1309C2×Q8—1582no—
1310C2×Q8—1582no—
1311C2×Q8—1582no—
1312C2×Q8—1582no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—3161no—
1323C2×D4—3161no—
1324C2×D4—3161no—
1325C2×D4—3161no—
1326C2×D4—3161no—
1327C2×D4—3161no—
1328C2×D4—31616no—
1329C2×D4—3161no—
1330C2×D4—3161no—
1331C2×D4—3161no—
1332C2×D4—3161no—
1333C2×D4—3161no—
1334C2×D4—3161no—
1335C2×D4—3161no—
1336C2×D4—3161no—
1337C2×D4—3161no—
1338C2×D4—3161no—
1339C2×D4—3161no—
1340C2×D4—3161no—
1341C2×D4—3161no—
1342C2×D4—3161no—
1343C2×D4—1582no—
1344C2×D4—1582no—
1345C2×D4—1582no—
1346C2×D4—1582no—
1347C2×D4—1582no—
1348C2×D4—1582no—
1349C2×D4—1582no—
1350C2×D4—1582no—
1351C2×D4—1582no—
1352C2×D4—1582no—
1353C2×D4—1582no—
1354C2×D4—1582no—
1355C2×D4—1582no—
1356C2×D4—1582no—
1357C2×D4—1582no—
1358C2×D4—1582no—
1359C22×C4—22no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—3161no—
1366C22×C4—3161no—
1367C22×C4—3161no—
1368C22×C4—3161no—
1369C22×C4—3161no—
1370C22×C4—3161no—
1371C22×C4—3161no—
1372C22×C4—3161no—
1373C22×C4—3161no—
1374C22×C4—3161no—
1375C22×C4—3161no—
1376C22×C4—3161no—
1377C22×C4—3161no—
1378C22×C4—3161no—
1379C22×C4—3161no—
1380C22×C4—3161no—
1381C22×C4—3161no—
1382C22×C4—794no—
1383C22×C4—794no—
1384C22×C4—791no—
1385C22×C4—791no—
1386C22×C4—791no—
1387C22×C4—791no—
1388C22×C4—791no—
1389C22×C4—791no—
1390C22×C4—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—1582no—
1397C22×C4—1582no—
1398C22×C4—1582no—
1399C22×C4—1582no—
1400C22×C4—1582no—
1401C22×C4—1582no—
1402C22×C4—1582no—
1403C22×C4—1582no—
1404C22×C4C23×D7911yescharacteristic
1405C22×C4C23×D7911yescharacteristic
1406C22×C4C23×D7911yescharacteristic
1407C22×C4C23×D7911yescharacteristic
1408C22×C4C23×D7911yescharacteristic
1409C22×C4C23×D7911yescharacteristic
1410C22×C4C23×D7911yescharacteristic
1411C22×C4C23×D7911yescharacteristic
1412C22×C4C23×D7911yescharacteristic
1413C22×C4C23×D7911yescharacteristic
1414C22×C4C23×D7911yescharacteristic
1415C22×C4C23×D7911yescharacteristic
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—3161no—
1426C4⋊C4—3161no—
1427C4⋊C4—3161no—
1428C4⋊C4—3161no—
1429C4⋊C4—3161no—
1430C4⋊C4—3161no—
1431C4⋊C4—3161no—
1432C4⋊C4—3161no—
1433C4⋊C4—3161no—
1434C4⋊C4—3161no—
1435C4⋊C4—3161no—
1436C4⋊C4—1582no—
1437C4⋊C4—1582no—
1438C4⋊C4—1582no—
1439C4⋊C4—1582no—
1440C4⋊C4—1582no—
1441C4⋊C4—1582no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—3161no—
1455C22⋊C4—3161no—
1456C22⋊C4—3161no—
1457C22⋊C4—3161no—
1458C22⋊C4—3161no—
1459C22⋊C4—3161no—
1460C22⋊C4—3161no—
1461C22⋊C4—3161no—
1462C22⋊C4—3161no—
1463C22⋊C4—3161no—
1464C22⋊C4—3161no—
1465C22⋊C4—3161no—
1466C22⋊C4—3161no—
1467C22⋊C4—3161no—
1468C22⋊C4—3161no—
1469C22⋊C4—3161no—
1470C22⋊C4—3161no—
1471C22⋊C4—3161no—
1472C22⋊C4—794no—
1473C22⋊C4—794no—
1474C22⋊C4—794no—
1475C22⋊C4—1582no—
1476C22⋊C4—1582no—
1477C22⋊C4—1582no—
1478C22⋊C4—1582no—
1479C22⋊C4—1582no—
1480C22⋊C4—1582no—
1481C22⋊C4—1582no—
1482C22⋊C4—1582no—
1483C22⋊C4—1582no—
1484C22⋊C4—1582no—
1485C22⋊C4—1582no—
1486C22⋊C4—1582no—
1487C22⋊C4—1582no—
1488C22⋊C4—1582no—
1489C22⋊C4—1582no—
1490C22⋊C4—1582no—
1491C22⋊C4—1582no—
1492C22⋊C4—1582no—
1493C22⋊C4—1582no—
1494C22⋊C4—1582no—
1495C22⋊C4—1582no—
1496C22⋊C4—1582no—
1497C22⋊C4—1582no—
1498C22⋊C4—1582no—
1499C22⋊C4D4×D7914yes—
1500C42—22no—
1501C42—1582no—
1502C42—1582no—
1503C42—1582no—
1504C42—1582no—
1505C42—1582no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—3164no—
1527C23—3164no—
1528C23—3164no—
1529C23—3164no—
1530C23—3164no—
1531C23—792no—
1532C23—792no—
1533C23—792no—
1534C23—792no—
1535C23—6322no—
1536C23—6322no—
1537C23—6322no—
1538C23—6322no—
1539C23—6322no—
1540C23—6322no—
1541C23—6322no—
1542C23—6322no—
1543C23—1588no—
1544C23—1581no—
1545C23—1581no—
1546C23—1581no—
1547C23—1581no—
1548C23—1581no—
1549C23—1581no—
1550C23—1581no—
1551C23—1581no—
1552C23—1581no—
1553C23—1581no—
1554C23—1581no—
1555C23—1581no—
1556C23—1581no—
1557C23—1581no—
1558C23—1581no—
1559C23—1581no—
1560C23—1581no—
1561C23—1581no—
1562C23—1581no—
1563C23—1581no—
1564C23—1581no—
1565C23—1581no—
1566C23—1581no—
1567C23—1581no—
1568C23C2×D4×D7912yes—
1569C23C24×D7911yescharacteristic
1570Q8—44no—
1571Q8—3164no—
1572Q8—3164no—
1573Q8—3164no—
1574Q8—6322no—
1575D4—44no—
1576D4—82no—
1577D4—82no—
1578D4—3164no—
1579D4—3164no—
1580D4—3164no—
1581D4—3164no—
1582D4—3164no—
1583D4—6322no—
1584D4—6322no—
1585D4—6322no—
1586D4—6322no—
1587D4—6322no—
1588D4—6322no—
1589D4—6322no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—82no—
1624C2×C4—82no—
1625C2×C4—3164no—
1626C2×C4—3164no—
1627C2×C4—3164no—
1628C2×C4—3164no—
1629C2×C4—792no—
1630C2×C4—792no—
1631C2×C4—792no—
1632C2×C4—6322no—
1633C2×C4—6322no—
1634C2×C4—6322no—
1635C2×C4—6322no—
1636C2×C4—1588no—
1637C2×C4—1581no—
1638C2×C4—1581no—
1639C2×C4—1581no—
1640C2×C4—1581no—
1641C2×C4—1581no—
1642C2×C4—1581no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1581no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4—1581no—
1653C2×C4—1581no—
1654C2×C4—1581no—
1655C2×C4—1581no—
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×C4C2×D4×D7912yes—
1671C2×C4C2×D4×D7912yes—
1672C2×C4#1457920612yes—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—3161no—
1695C22—3161no—
1696C22—3161no—
1697C22—3161no—
1698C22—3161no—
1699C22—3161no—
1700C22—3161no—
1701C22—3161no—
1702C22—3161no—
1703C22—3161no—
1704C22—3161no—
1705C22—3161no—
1706C22—3161no—
1707C22—3161no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—794no—
1713C22—6328no—
1714C22—6328no—
1715C22—1582no—
1716C22—1582no—
1717C22—1582no—
1718C22—1582no—
1719C22—1582no—
1720C22—1582no—
1721C22—1582no—
1722C22—1582no—
1723C22—1582no—
1724C22C22×D4×D7911yescharacteristic
1725C22H(5,𝔽2)×D7911yescharacteristic
1726C22H(5,𝔽2)×D7911yescharacteristic
1727C22C2×#1457920611yescharacteristic
1728C222−1+4×D7911yescharacteristic
1729C22#1909939911yescharacteristic
1730C22#1909940011yescharacteristic
1731C4—22no—
1732C4—22no—
1733C4—22no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—3161no—
1744C4—3161no—
1745C4—3161no—
1746C4—3161no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—3161no—
1752C4—1582no—
1753C4—1582no—
1754C4—1582no—
1755C2—42no—
1756C2—81no—
1757C2—81no—
1758C2—3162no—
1759C2—6321no—
1760C2—6321no—
1761C2—1584no—
1762C2#537×D7911yescharacteristic
1763C2#2377702811yescharacteristic
1764C2#2377703911yescharacteristic
1765C2#2377790911yescharacteristic
1766C2#2377792211yescharacteristic
1767C2#2377796111yescharacteristic
1768C2#2377796411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2672C2
hypercenter#2672D79
hypocenterC79#36957
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. C2×#19099149C2semidirect
2. C2×#124×D79C2semidirect
3. #23771738C2semidirect
4. #23771727C2semidirect
5. #23770217C2semidirect
6. #23770213C2semidirect
7. #23770208C2semidirect
8. #23770204C2semidirect
9. #23770173C2semidirect
10. #23770172C2semidirect
11. #23770168C2semidirect
12. #23770166C2semidirect
13. #23769705C2semidirect
14. #23769703C2semidirect
15. #23769697C2semidirect
16. #23769695C2semidirect
17. #23769656C2semidirect
18. #23769651C2semidirect
19. #23769648C2semidirect
20. #23769206C2semidirect
21. #23769139C2semidirect
22. #23768291C2semidirect
23. #23768288C2semidirect
24. #23766793C2semidirect
25. #23766791C2semidirect
26. #23766771C2semidirect
27. #23766769C2semidirect
28. #23766761C2semidirect
29. #23766760C2semidirect
30. #23766011C2semidirect
31. C79×#2672C2semidirect
35. C2×#14579156C22semidirect
36. C2×#14579154C22semidirect
44. C2×#14579147C22semidirect
45. C2×#14579147C22semidirect
48. C2×#14579146C22semidirect
51. C2×#14579140C22semidirect
52. C2×#14579139C22semidirect
53. C2×#14579139C22semidirect
55. C2×#14579135C22semidirect
59. C2×#14579132C22semidirect
73. #19098498C22semidirect
74. #19098492C22semidirect
75. #19098492C22semidirect
76. #19098491C22semidirect
77. #19098491C22semidirect
78. #19098489C22semidirect
79. #19098488C22semidirect
80. #19098487C22semidirect
81. #19098486C22semidirect
82. #19098486C22semidirect
83. #19098486C22semidirect
84. #19098485C22semidirect
85. #19098485C22semidirect
86. #19098485C22semidirect
87. #19098483C22semidirect
88. #19098483C22semidirect
89. #19098483C22semidirect
90. #19098481C22semidirect
92. #19098480C22semidirect
93. #19098480C22semidirect
94. #19098480C22semidirect
95. #19098479C22semidirect
96. #19098479C22semidirect
97. #19098479C22semidirect
100. #19098478C22semidirect
101. #19098477C22semidirect
102. #19098477C22semidirect
103. #19098476C22semidirect
104. #19098476C22semidirect
105. #19098475C22semidirect
106. #19098475C22semidirect
107. #19098475C22semidirect
108. #19098474C22semidirect
111. #19098472C22semidirect
114. #19098471C22semidirect
115. #19098470C22semidirect
116. #19098469C22semidirect
117. #19098468C22semidirect
118. #19098468C22semidirect
119. #19098467C22semidirect
120. #19098467C22semidirect
121. #19098463C22semidirect
122. #19098463C22semidirect
123. #19098460C22semidirect
124. #19098459C22semidirect
125. #19098458C22semidirect
126. #19098457C22semidirect
127. #19098455C22semidirect
128. #19098455C22semidirect
129. #19098454C22semidirect
130. #19098453C22semidirect
131. #19098451C22semidirect
132. #19098451C22semidirect
133. #19098450C22semidirect
134. #19098450C22semidirect
135. #19098449C22semidirect
136. #19098449C22semidirect
139. #19098442C22semidirect
140. #19098442C22semidirect
144. #19098441C22semidirect
145. #19098440C22semidirect
149. #19098439C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098438C22semidirect
153. #19098437C22semidirect
154. #19098437C22semidirect
155. #19098436C22semidirect
156. #19098435C22semidirect
161. #19098434C22semidirect
162. #19098434C22semidirect
167. #19098422C22semidirect
168. #19098421C22semidirect
171. #19098420C22semidirect
175. C2×#123×C79C22semidirect
176. C2×C22⋊Q8×C79C22semidirect
178. #399×C79C22semidirect
179. #396×C79C22semidirect
180. #395×C79C22semidirect
182. #394×C79C22semidirect
183. #394×C79C22semidirect
184. #389×C79C22semidirect
185. #388×C79C22semidirect
186. #386×C79C22semidirect
187. #385×C79C22semidirect
188. #380×C79C22semidirect
319. C22⋊C4×D79D4semidirect
904. #2672D79semidirect
916. C79#36957semidirect
936. C2×#123C2×D79semidirect
941. C2×C22⋊Q8C2×D79semidirect
963. #399C2×D79semidirect
977. #396C2×D79semidirect
981. #395C2×D79semidirect
996. #394C2×D79semidirect
997. #394C2×D79semidirect
1021. #389C2×D79semidirect
1029. #388C2×D79semidirect
1049. #386C2×D79semidirect
1061. #385C2×D79semidirect
1071. #380C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991492
C2×#124×D792
#237717382
#237717272
#237702172
#237702132
#237702082
#237702042
#237701732
#237701722
#237701682
#237701662
#237697052
#237697032
#237696972
#237696952
#237696562
#237696512
#237696482
#237692062
#237691392
#237682912
#237682882
#237667932
#237667912
#237667712
#237667692
#237667612
#237667602
#237660112
C79×#26722
#3695779