Finite Group Databasebeta

← #34495669

Subgroups — #34495669

Order 20224.

2782 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099146C211yesmaximal, characteristic, complemented
2C2×#19099121C211yesmaximal, characteristic, complemented
3#23771743C211yesmaximal, characteristic, complemented
4#23771697C211yesmaximal, characteristic, complemented
5#23770255C211yesmaximal, characteristic, complemented
6#23770253C211yesmaximal, characteristic, complemented
7#23770147C211yesmaximal, characteristic, complemented
8#23770145C211yesmaximal, characteristic, complemented
9#23770092C211yesmaximal, characteristic, complemented
10#23770090C211yesmaximal, characteristic, complemented
11#23770047C211yesmaximal, characteristic, complemented
12#23770045C211yesmaximal, characteristic, complemented
13#23769796C211yesmaximal, characteristic, complemented
14#23769794C211yesmaximal, characteristic, complemented
15#23769732C211yesmaximal, characteristic, complemented
16#23769726C211yesmaximal, characteristic, complemented
17#23769627C211yesmaximal, characteristic, complemented
18#23769624C211yesmaximal, characteristic, complemented
19#23769619C211yesmaximal, characteristic, complemented
20#23769618C211yesmaximal, characteristic, complemented
21#23769504C211yesmaximal, characteristic, complemented
22#23769330C211yesmaximal, characteristic, complemented
23#23768360C211yesmaximal, characteristic, complemented
24#23766841C211yesmaximal, characteristic, complemented
25#23766840C211yesmaximal, characteristic, complemented
26#23766773C211yesmaximal, characteristic, complemented
27#23766773C211yesmaximal, characteristic, complemented
28#23766771C211yesmaximal, characteristic, complemented
29#23766771C211yesmaximal, characteristic, complemented
30C2×#19098455C211yesmaximal, characteristic, complemented
31C79×#2543C211yesmaximal, characteristic, complemented
32C22×D4×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099146—28no—
35#19099121—28no—
36C2×#14579157C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic, complemented
38C2×#14579155C2211yescharacteristic, complemented
39C2×#14579149C2211yescharacteristic, complemented
40C2×#14579147C2211yescharacteristic, complemented
41C2×#14579147C2211yescharacteristic, complemented
42C2×#14579146C2211yescharacteristic
43C2×#14579146C2211yescharacteristic
44C2×#14579146C2211yescharacteristic, complemented
45C2×#14579144C2211yescharacteristic, complemented
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579138C2211yescharacteristic, complemented
49C2×#14579135C2211yescharacteristic
50C2×#14579135C2211yescharacteristic, complemented
51C2×#14579135C2211yescharacteristic, complemented
52C2×#14579135C2211yescharacteristic, complemented
53C2×#14579135C2211yescharacteristic, complemented
54C2×#14579134C2211yescharacteristic, complemented
55C2×#14579133C2211yescharacteristic
56C2×#14579133C2211yescharacteristic
57C2×#14579133C2211yescharacteristic, complemented
58C2×#14579133C2211yescharacteristic, complemented
59C2×#14579133C2211yescharacteristic, complemented
60C2×#14579133C2211yescharacteristic, complemented
61C2×#14579133C2211yescharacteristic, complemented
62C2×#14579132C2211yescharacteristic, complemented
63C2×#14579131C2211yescharacteristic
64C2×#14579131C2211yescharacteristic
65C2×#14579131C2211yescharacteristic
66C2×#14579131C2211yescharacteristic, complemented
67C2×#14579131C2211yescharacteristic, complemented
68C2×#14579129C2211yescharacteristic
69C2×#14579129C2211yescharacteristic
70C2×#14579129C2211yescharacteristic
71C2×#14579129C2211yescharacteristic, complemented
72C2×#14579129C2211yescharacteristic, complemented
73C2×C4×C22⋊D79C2211yescharacteristic, complemented
74C22×C4⋊Dic79C2211yescharacteristic, complemented
75C22×(C2×D79)⋊C4C2211yescharacteristic
76C22×(C2×D79)⋊C4C2211yescharacteristic
77C22×(C2×D79)⋊C4C2211yescharacteristic
78C22×C4×Dic79C2211yescharacteristic, complemented
79#19098505C2211yescharacteristic, complemented
80#19098504C2211yescharacteristic, complemented
81#19098499C2211yescharacteristic, complemented
82#19098499C2211yescharacteristic, complemented
83#19098498C2211yescharacteristic, complemented
84#19098498C2211yescharacteristic, complemented
85#19098495C2211yescharacteristic, complemented
86#19098492C2211yescharacteristic, complemented
87#19098491C2211yescharacteristic, complemented
88#19098490C2211yescharacteristic, complemented
89#19098486C2211yescharacteristic, complemented
90#19098486C2211yescharacteristic, complemented
91#19098485C2211yescharacteristic, complemented
92#19098485C2211yescharacteristic, complemented
93#19098481C2211yescharacteristic
94#19098481C2211yescharacteristic
95#19098481C2211yescharacteristic, complemented
96#19098480C2211yescharacteristic
97#19098480C2211yescharacteristic
98#19098479C2211yescharacteristic
99#19098479C2211yescharacteristic
100#19098479C2211yescharacteristic, complemented
101#19098479C2211yescharacteristic, complemented
102#19098479C2211yescharacteristic, complemented
103#19098479C2211yescharacteristic, complemented
104#19098479C2211yescharacteristic, complemented
105#19098478C2211yescharacteristic
106#19098478C2211yescharacteristic
107#19098478C2211yescharacteristic, complemented
108#19098476C2211yescharacteristic, complemented
109#19098475C2211yescharacteristic, complemented
110#19098473C2211yescharacteristic
111#19098473C2211yescharacteristic
112#19098473C2211yescharacteristic, complemented
113#19098472C2211yescharacteristic
114#19098472C2211yescharacteristic
115#19098472C2211yescharacteristic
116#19098472C2211yescharacteristic
117#19098472C2211yescharacteristic, complemented
118#19098472C2211yescharacteristic, complemented
119#19098471C2211yescharacteristic
120#19098471C2211yescharacteristic
121#19098471C2211yescharacteristic, complemented
122#19098471C2211yescharacteristic, complemented
123#19098467C2211yescharacteristic, complemented
124#19098466C2211yescharacteristic, complemented
125#19098466C2211yescharacteristic, complemented
126#19098465C2211yescharacteristic, complemented
127#19098464C2211yescharacteristic, complemented
128#19098463C2211yescharacteristic, complemented
129#19098463C2211yescharacteristic, complemented
130#19098463C2211yescharacteristic, complemented
131#19098463C2211yescharacteristic, complemented
132#19098463C2211yescharacteristic, complemented
133#19098461C2211yescharacteristic, complemented
134#19098459C2211yescharacteristic, complemented
135#19098456C2211yescharacteristic, complemented
136#19098455C2211yescharacteristic, complemented
137#19098455C2211yescharacteristic, complemented
138#19098455C2211yescharacteristic, complemented
139#19098455C2211yescharacteristic, complemented
140#19098455C2211yescharacteristic, complemented
141#19098455C2211yescharacteristic, complemented
142#19098455C2211yescharacteristic, complemented
143#19098455C2211yescharacteristic, complemented
144#19098455C2211yescharacteristic, complemented
145#19098455C2211yescharacteristic, complemented
146#19098455C2211yescharacteristic, complemented
147#19098452C2211yescharacteristic, complemented
148#19098451C2211yescharacteristic, complemented
149#19098443C2211yescharacteristic, complemented
150#19098443C2211yescharacteristic, complemented
151#19098442C2211yescharacteristic, complemented
152#19098442C2211yescharacteristic, complemented
153#19098441C2211yescharacteristic, complemented
154#19098441C2211yescharacteristic, complemented
155#19098441C2211yescharacteristic, complemented
156#19098441C2211yescharacteristic, complemented
157#19098440C2211yescharacteristic, complemented
158#19098440C2211yescharacteristic, complemented
159#19098439C2211yescharacteristic, complemented
160#19098439C2211yescharacteristic, complemented
161#19098437C2211yescharacteristic, complemented
162#19098437C2211yescharacteristic, complemented
163#19098434C2211yescharacteristic, complemented
164#19098434C2211yescharacteristic, complemented
165#19098432C2211yescharacteristic, complemented
166#19098427C2211yescharacteristic, complemented
167#19098423C2211yescharacteristic, complemented
168#19098420C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic, complemented
170#19098418C2211yescharacteristic, complemented
171#19098418C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic, complemented
173C2×C79⋊#95C2211yescharacteristic, complemented
174C2×#121×C79C2211yescharacteristic
175C2×#121×C79C2211yescharacteristic, complemented
176C2×#121×C79C2211yescharacteristic, complemented
177C2×C4×D4×C79C2211yescharacteristic, complemented
178#398×C79C2211yescharacteristic, complemented
179#397×C79C2211yescharacteristic, complemented
180#394×C79C2211yescharacteristic, complemented
181#392×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#388×C79C2211yescharacteristic, complemented
184#386×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic, complemented
187#386×C79C2211yescharacteristic, complemented
188C2×#95×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C24×D79C2311yescharacteristic
192C22×Dic158C2311yescharacteristic
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
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C22×C22⋊D79C2311yescharacteristic
211C22×C22⋊D79C2311yescharacteristic
212C22×C22⋊D79C2311yescharacteristic
213C22×C22⋊D79C2311yescharacteristic
214C2×D4×D79—24no—
215C2×D4×D79—24no—
216C2×D4×D79—42no—
217C2×D4×D79—42no—
218C2×D4×D79—42no—
219C2×D4×D79—42no—
220C23×Dic79C2311yescharacteristic
221C23×Dic79C2311yescharacteristic
222C23×Dic79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226#14579157—42no—
227#14579156—24no—
228#14579155—24no—
229#14579149—24no—
230#14579147—24no—
231#14579147—42no—
232#14579146—24no—
233#14579146—24no—
234#14579146—24no—
235#14579144—24no—
236#14579143—24no—
237#14579143—24no—
238#14579138—24no—
239#14579135—24no—
240#14579135—24no—
241#14579135—42no—
242#14579135—42no—
243#14579135—42no—
244#14579134—24no—
245#14579133—24no—
246#14579133—24no—
247#14579133—24no—
248#14579133—42no—
249#14579133—42no—
250#14579133—42no—
251#14579133—42no—
252#14579132—42no—
253#14579131—24no—
254#14579131—24no—
255#14579131—24no—
256#14579131—42no—
257#14579131—42no—
258#14579129—24no—
259#14579129—24no—
260#14579129—24no—
261#14579129—42no—
262#14579129—42no—
263C4×C22⋊D79—24no—
264C2×C4⋊Dic79—42no—
265C2×C4⋊Dic79C2311yescharacteristic
266C2×C4⋊Dic79C2311yescharacteristic
267C2×C4⋊Dic79C2311yescharacteristic
268C2×C4⋊Dic79C2311yescharacteristic
269C2×C4⋊Dic79C2311yescharacteristic
270C2×C4⋊Dic79C2311yescharacteristic
271C2×C4⋊Dic79C2311yescharacteristic
272C2×C4⋊Dic79C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C2×Dic79⋊C4C2311yescharacteristic
280C2×Dic79⋊C4C2311yescharacteristic
281C2×Dic79⋊C4C2311yescharacteristic
282C2×Dic79⋊C4C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×C22⋊Dic79C2311yescharacteristic
293C2×C22⋊Dic79C2311yescharacteristic
294C2×C22⋊Dic79C2311yescharacteristic
295C2×(C2×D79)⋊C4—42no—
296C2×(C2×D79)⋊C4—42no—
297C2×(C2×D79)⋊C4D418yescomplemented
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C2×(C2×D79)⋊C4C2311yescharacteristic
323C2×(C2×D79)⋊C4C2311yescharacteristic
324C2×(C2×D79)⋊C4C2311yescharacteristic
325C2×(C2×D79)⋊C4C2311yescharacteristic
326C2×(C2×D79)⋊C4C2311yescharacteristic
327C2×(C2×D79)⋊C4C2311yescharacteristic
328C2×(C2×D79)⋊C4C2311yescharacteristic
329C2×(C2×D79)⋊C4C2311yescharacteristic
330C2×(C2×D79)⋊C4C2311yescharacteristic
331C2×(C2×D79)⋊C4C2311yescharacteristic
332C2×(C2×D79)⋊C4C2311yescharacteristic
333C2×(C2×D79)⋊C4C2311yescharacteristic
334C2×(C2×D79)⋊C4C2311yescharacteristic
335C2×(C2×D79)⋊C4C2311yescharacteristic
336C2×C4×Dic79—42no—
337C2×C4×Dic79C2311yescharacteristic
338C2×C4×Dic79C2311yescharacteristic
339C2×C4×Dic79C2311yescharacteristic
340C2×C4×Dic79C2311yescharacteristic
341C2×C4×Dic79C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C79⋊#95C2311yescharacteristic
349C79⋊#95C2311yescharacteristic
350C79⋊#95C2311yescharacteristic
351C79⋊#95C2311yescharacteristic
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C79⋊#95C2311yescharacteristic
355C79⋊#95C2311yescharacteristic
356C79⋊#95C2311yescharacteristic
357C79⋊#95C2311yescharacteristic
358C22×D4×C79C2311yescharacteristic
359C22×D4×C79C2311yescharacteristic
360C22×D4×C79C2311yescharacteristic
361C22×D4×C79C2311yescharacteristic
362C22×D4×C79C2311yescharacteristic
363C22×D4×C79C2311yescharacteristic
364C23×C4×C79C2311yescharacteristic
365C23×C4×C79C2311yescharacteristic
366C23×C4×C79C2311yescharacteristic
367C23×C4×C79C2311yescharacteristic
368#121×C79—24no—
369#121×C79—42no—
370#121×C79—42no—
371C4×D4×C79—24no—
372C2×C4⋊C4×C79C2311yescharacteristic
373C2×C4⋊C4×C79C2311yescharacteristic
374C2×C4⋊C4×C79C2311yescharacteristic
375C2×C4⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C22⋊C4×C79C2311yescharacteristic
380C2×C22⋊C4×C79C2311yescharacteristic
381C2×C22⋊C4×C79C2311yescharacteristic
382C2×C22⋊C4×C79C2311yescharacteristic
383C2×C22⋊C4×C79C2311yescharacteristic
384C2×C22⋊C4×C79C2311yescharacteristic
385C2×C22⋊C4×C79C2311yescharacteristic
386C2×C22⋊C4×C79C2311yescharacteristic
387C2×C22⋊C4×C79C2311yescharacteristic
388C2×C42×C79C2311yescharacteristic
389#95×C79C2311yescharacteristic
390#95×C79C2311yescharacteristic
391#95×C79C2311yescharacteristic
392#95×C79C2311yescharacteristic
393#95×C79C2311yescharacteristic
394#95×C79C2311yescharacteristic
395#95×C79C2311yescharacteristic
396#95×C79C2311yescharacteristic
397C23×D79—22no—
398C23×D79—22no—
399C23×D79—22no—
400C23×D79—22no—
401C23×D79—41no—
402C23×D79—41no—
403C23×D79—41no—
404C23×D79—41no—
405C23×D79—41no—
406C23×D79—41no—
407C23×D79—41no—
408C23×D79—41no—
409C23×D79—41no—
410C23×D79—41no—
411C23×D79—41no—
412C23×D79—41no—
413C23×D79—41no—
414C23×D79—41no—
415C23×D79—41no—
416C23×D79—41no—
417C23×D79C2×D414yes—
418C23×D79C2411yescharacteristic
419C23×D79C2411yescharacteristic
420C23×D79C2411yescharacteristic
421C23×D79C2411yescharacteristic
422C23×D79C2411yescharacteristic
423C2×Dic158—22no—
424C2×Dic158—41no—
425C2×Dic158—41no—
426C2×D316—22no—
427C2×D316—22no—
428C2×D316—22no—
429C2×D316—22no—
430C2×D316—22no—
431C2×D316—22no—
432C2×D316—41no—
433C2×D316—41no—
434C2×D316—41no—
435C2×D316—41no—
436C2×D316—41no—
437C2×D316—41no—
438C2×D316—41no—
439C2×D316—41no—
440C2×D316—41no—
441C2×D316—41no—
442C2×D316—41no—
443C2×D316—41no—
444C2×D316—41no—
445C2×D316—41no—
446C2×D316—41no—
447C2×C22⋊D79—22no—
448C2×C22⋊D79—22no—
449C2×C22⋊D79—22no—
450C2×C22⋊D79—22no—
451C2×C22⋊D79—22no—
452C2×C22⋊D79—22no—
453C2×C22⋊D79—22no—
454C2×C22⋊D79—22no—
455C2×C22⋊D79—22no—
456C2×C22⋊D79—22no—
457C2×C22⋊D79—22no—
458C2×C22⋊D79—22no—
459C2×C22⋊D79—22no—
460C2×C22⋊D79—22no—
461C2×C22⋊D79—22no—
462C2×C22⋊D79—22no—
463C2×C22⋊D79—22no—
464C2×C22⋊D79—22no—
465C2×C22⋊D79—41no—
466C2×C22⋊D79—41no—
467C2×C22⋊D79—41no—
468C2×C22⋊D79—41no—
469C2×C22⋊D79—41no—
470C2×C22⋊D79—41no—
471C2×C22⋊D79—41no—
472C2×C22⋊D79—41no—
473C2×C22⋊D79—41no—
474C2×C22⋊D79—41no—
475C2×C22⋊D79—41no—
476C2×C22⋊D79—41no—
477C2×C22⋊D79—41no—
478C2×C22⋊D79—41no—
479C2×C22⋊D79—41no—
480C2×C22⋊D79—41no—
481C2×C22⋊D79—41no—
482C2×C22⋊D79—41no—
483C2×C22⋊D79—41no—
484C2×C22⋊D79—41no—
485C2×C22⋊D79—41no—
486C2×C22⋊D79—41no—
487C2×C22⋊D79—41no—
488C2×C22⋊D79—41no—
489D4×D79—416no—
490D4×D79—416no—
491C22×Dic79—22no—
492C22×Dic79—22no—
493C22×Dic79—22no—
494C22×Dic79—41no—
495C22×Dic79—41no—
496C22×Dic79—41no—
497C22×Dic79—41no—
498C22×Dic79—41no—
499C22×Dic79C2×D414yes—
500C22×Dic79C2411yescharacteristic
501C22×Dic79C2411yescharacteristic
502C22×Dic79C2411yescharacteristic
503C22×Dic79C2411yescharacteristic
504C22×Dic79C2411yescharacteristic
505C22×Dic79C2411yescharacteristic
506C22×Dic79C2411yescharacteristic
507C22×Dic79C2411yescharacteristic
508C22×Dic79C2411yescharacteristic
509C22×Dic79C2411yescharacteristic
510C22×Dic79C2411yescharacteristic
511C2×C4×D79—22no—
512C2×C4×D79—22no—
513C2×C4×D79—22no—
514C2×C4×D79—41no—
515C2×C4×D79—41no—
516C2×C4×D79—41no—
517C2×C4×D79—41no—
518C2×C4×D79—41no—
519C2×C4×D79—41no—
520C4⋊Dic79—22no—
521C4⋊Dic79—22no—
522C4⋊Dic79—22no—
523C4⋊Dic79—22no—
524C4⋊Dic79—41no—
525C4⋊Dic79—41no—
526C4⋊Dic79—41no—
527C4⋊Dic79—41no—
528Dic79⋊C4—22no—
529Dic79⋊C4—22no—
530Dic79⋊C4—22no—
531Dic79⋊C4—22no—
532Dic79⋊C4—22no—
533Dic79⋊C4—22no—
534Dic79⋊C4—41no—
535Dic79⋊C4—41no—
536Dic79⋊C4—41no—
537Dic79⋊C4—41no—
538C22⋊Dic79—22no—
539C22⋊Dic79—22no—
540C22⋊Dic79—22no—
541C22⋊Dic79—22no—
542C22⋊Dic79—22no—
543C22⋊Dic79—41no—
544C22⋊Dic79—41no—
545C22⋊Dic79—41no—
546C22⋊Dic79—41no—
547C22⋊Dic79—41no—
548C22⋊Dic79—41no—
549C22⋊Dic79—41no—
550(C2×D79)⋊C4—22no—
551(C2×D79)⋊C4—22no—
552(C2×D79)⋊C4—22no—
553(C2×D79)⋊C4—22no—
554(C2×D79)⋊C4—22no—
555(C2×D79)⋊C4—22no—
556(C2×D79)⋊C4—22no—
557(C2×D79)⋊C4—22no—
558(C2×D79)⋊C4—22no—
559(C2×D79)⋊C4—22no—
560(C2×D79)⋊C4—22no—
561(C2×D79)⋊C4—22no—
562(C2×D79)⋊C4—22no—
563(C2×D79)⋊C4—22no—
564(C2×D79)⋊C4—22no—
565(C2×D79)⋊C4—22no—
566(C2×D79)⋊C4—41no—
567(C2×D79)⋊C4—41no—
568(C2×D79)⋊C4—41no—
569(C2×D79)⋊C4—41no—
570(C2×D79)⋊C4—41no—
571(C2×D79)⋊C4—41no—
572(C2×D79)⋊C4—41no—
573(C2×D79)⋊C4—41no—
574(C2×D79)⋊C4—41no—
575(C2×D79)⋊C4—41no—
576(C2×D79)⋊C4—41no—
577(C2×D79)⋊C4—41no—
578(C2×D79)⋊C4—41no—
579(C2×D79)⋊C4—41no—
580(C2×D79)⋊C4—41no—
581(C2×D79)⋊C4—41no—
582(C2×D79)⋊C4—41no—
583(C2×D79)⋊C4—41no—
584(C2×D79)⋊C4C2×D414yes—
585(C2×D79)⋊C4C2×D414yes—
586(C2×D79)⋊C4C2×D414yes—
587(C2×D79)⋊C4C2×D414yes—
588C4×Dic79—22no—
589C4×Dic79—22no—
590C4×Dic79—22no—
591C4×Dic79—41no—
592C4×Dic79—41no—
593C24×C79C2411yescharacteristic
594C24×C79C2411yescharacteristic
595C24×C79C2411yescharacteristic
596C24×C79C2411yescharacteristic
597C2×D4×C79—22no—
598C2×D4×C79—22no—
599C2×D4×C79—22no—
600C2×D4×C79—22no—
601C2×D4×C79—22no—
602C2×D4×C79—22no—
603C2×D4×C79—22no—
604C2×D4×C79—22no—
605C2×D4×C79—22no—
606C2×D4×C79—22no—
607C2×D4×C79—22no—
608C2×D4×C79—41no—
609C2×D4×C79—41no—
610C2×D4×C79—41no—
611C2×D4×C79—41no—
612C2×D4×C79—41no—
613C2×D4×C79—41no—
614C2×D4×C79—41no—
615C22×C4×C79—22no—
616C22×C4×C79—22no—
617C22×C4×C79—22no—
618C22×C4×C79—22no—
619C22×C4×C79—41no—
620C22×C4×C79—41no—
621C22×C4×C79—41no—
622C22×C4×C79—41no—
623C22×C4×C79—41no—
624C22×C4×C79—41no—
625C22×C4×C79—41no—
626C22×C4×C79C2×D414yes—
627C22×C4×C79C2411yescharacteristic
628C22×C4×C79C2411yescharacteristic
629C22×C4×C79C2411yescharacteristic
630C22×C4×C79C2411yescharacteristic
631C22×C4×C79C2411yescharacteristic
632C22×C4×C79C2411yescharacteristic
633C22×C4×C79C2411yescharacteristic
634C22×C4×C79C2411yescharacteristic
635C22×C4×C79C2411yescharacteristic
636C22×C4×C79C2411yescharacteristic
637C22×C4×C79C2411yescharacteristic
638C4⋊C4×C79—22no—
639C4⋊C4×C79—22no—
640C4⋊C4×C79—41no—
641C4⋊C4×C79—41no—
642C22⋊C4×C79—22no—
643C22⋊C4×C79—22no—
644C22⋊C4×C79—22no—
645C22⋊C4×C79—22no—
646C22⋊C4×C79—22no—
647C22⋊C4×C79—41no—
648C22⋊C4×C79—41no—
649C22⋊C4×C79—41no—
650C22⋊C4×C79—41no—
651C22⋊C4×C79—41no—
652C22⋊C4×C79—41no—
653C22⋊C4×C79—41no—
654C42×C79—22no—
655C23×C79—21no—
656C23×C79—21no—
657C23×C79—21no—
658C23×C79—21no—
659C23×C79—21no—
660C23×C79—21no—
661C23×C79—21no—
662C23×C79—21no—
663C23×C79—21no—
664C23×C79—21no—
665C23×C79—21no—
666C23×C79—21no—
667C23×C79—21no—
668C23×C79—21no—
669C23×C79—21no—
670C23×C79—21no—
671C23×C79—21no—
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79—21no—
677C23×C79—21no—
678C23×C79—21no—
679C23×C79—21no—
680C23×C79C22×D412yes—
681C23×C79H(5,𝔽2)12yes—
682C23×C79H(5,𝔽2)12yes—
683C23×C79C2511yescharacteristic
684C22×D79—21no—
685C22×D79—21no—
686C22×D79—21no—
687C22×D79—21no—
688C22×D79—21no—
689C22×D79—21no—
690C22×D79—21no—
691C22×D79—21no—
692C22×D79—21no—
693C22×D79—21no—
694C22×D79—21no—
695C22×D79—21no—
696C22×D79—28no—
697C22×D79—21no—
698C22×D79—21no—
699C22×D79—21no—
700C22×D79—21no—
701C22×D79—21no—
702C22×D79—21no—
703C22×D79—21no—
704C22×D79—21no—
705C22×D79—21no—
706C22×D79—21no—
707C22×D79—21no—
708C22×D79—21no—
709C22×D79—21no—
710C22×D79—21no—
711C22×D79—21no—
712C22×D79—21no—
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—21no—
716C22×D79—21no—
717C22×D79—21no—
718C22×D79—44no—
719C22×D79—44no—
720C22×D79—44no—
721C22×D79—44no—
722C22×D79—82no—
723C22×D79—82no—
724C22×D79—82no—
725C22×D79—82no—
726C22×D79—82no—
727C22×D79—82no—
728C22×D79—82no—
729C22×D79—82no—
730C22×D79—82no—
731C22×D79—82no—
732C22×D79—82no—
733C22×D79—82no—
734C22×D79—82no—
735C22×D79—82no—
736C22×D79—82no—
737C22×D79—82no—
738C22×D79C22×D412yes—
739C22×D79C22×D412yes—
740D4×C79—44no—
741D4×C79—44no—
742D4×C79—44no—
743D4×C79—82no—
744D4×C79—82no—
745D4×C79—82no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—21no—
751C2×C4×C79—21no—
752C2×C4×C79—21no—
753C2×C4×C79—21no—
754C2×C4×C79—21no—
755C2×C4×C79—21no—
756C2×C4×C79—21no—
757C2×C4×C79—21no—
758C2×C4×C79—21no—
759C2×C4×C79—21no—
760C2×C4×C79—21no—
761C2×C4×C79—21no—
762C2×C4×C79—21no—
763C2×C4×C79—21no—
764C2×C4×C79—21no—
765C2×C4×C79—21no—
766C2×C4×C79—21no—
767C2×C4×C79—21no—
768C2×C4×C79—21no—
769C2×C4×C79—21no—
770C2×C4×C79—21no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
775C2×C4×C79—21no—
776C2×C4×C79—44no—
777C2×C4×C79—44no—
778C2×C4×C79—82no—
779C2×C4×C79—82no—
780C2×C4×C79C22×D412yes—
781C2×C4×C79C22×D412yes—
782C2×C4×C79H(5,𝔽2)12yes—
783C22⋊D79—44no—
784C22⋊D79—44no—
785C22⋊D79—44no—
786C22⋊D79—44no—
787C22⋊D79—44no—
788C22⋊D79—82no—
789C22⋊D79—82no—
790C22⋊D79—82no—
791C22⋊D79—82no—
792C22⋊D79—82no—
793C22⋊D79—82no—
794C22⋊D79—82no—
795C22⋊D79—82no—
796C22⋊D79—82no—
797C2×Dic79—21no—
798C2×Dic79—21no—
799C2×Dic79—21no—
800C2×Dic79—21no—
801C2×Dic79—21no—
802C2×Dic79—21no—
803C2×Dic79—21no—
804C2×Dic79—21no—
805C2×Dic79—21no—
806C2×Dic79—21no—
807C2×Dic79—21no—
808C2×Dic79—21no—
809C2×Dic79—21no—
810C2×Dic79—21no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—21no—
819C2×Dic79—21no—
820C2×Dic79—21no—
821C2×Dic79—21no—
822C2×Dic79—21no—
823C2×Dic79—21no—
824C2×Dic79—21no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—44no—
828C2×Dic79—44no—
829C2×Dic79—82no—
830C2×Dic79C22×D412yes—
831C2×Dic79C22×D412yes—
832C2×Dic79H(5,𝔽2)12yes—
833D316—44no—
834D316—44no—
835D316—82no—
836D316—82no—
837D316—82no—
838D316—82no—
839D316—82no—
840C4×D79—44no—
841C4×D79—44no—
842C4×D79—82no—
843Dic158—82no—
844C22×C79—22no—
845C22×C79—22no—
846C22×C79—22no—
847C22×C79—22no—
848C22×C79—22no—
849C22×C79—22no—
850C22×C79—41no—
851C22×C79—41no—
852C22×C79—41no—
853C22×C79—41no—
854C22×C79—41no—
855C22×C79—41no—
856C22×C79—41no—
857C22×C79—41no—
858C22×C79—41no—
859C22×C79—41no—
860C22×C79—41no—
861C22×C79—41no—
862C22×C79—41no—
863C22×C79—41no—
864C22×C79—41no—
865C22×C79—41no—
866C22×C79—41no—
867C22×C79—41no—
868C22×C79—41no—
869C22×C79—41no—
870C22×C79—41no—
871C22×C79#53514yes—
872C22×C79C23×D411yescharacteristic
873C22×C79C2×H(5,𝔽2)11yescharacteristic
874C22×C79C2×H(5,𝔽2)11yescharacteristic
875C22×C79C2×H(5,𝔽2)11yescharacteristic
876C22×C79C2×H(5,𝔽2)11yescharacteristic
877C22×C79#58511yescharacteristic
878C22×C79#58511yescharacteristic
879C2×D79—22no—
880C2×D79—22no—
881C2×D79—22no—
882C2×D79—22no—
883C2×D79—22no—
884C2×D79—22no—
885C2×D79—41no—
886C2×D79—41no—
887C2×D79—41no—
888C2×D79—41no—
889C2×D79—41no—
890C2×D79—41no—
891C2×D79—41no—
892C2×D79—41no—
893C2×D79—41no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—41no—
897C2×D79—41no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—41no—
912C2×D79—41no—
913C2×D79—41no—
914C2×D79—88no—
915C2×D79—88no—
916C2×D79—88no—
917C4×C79—22no—
918C4×C79—22no—
919C4×C79—22no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79—41no—
925C4×C79—41no—
926C4×C79—41no—
927C4×C79—41no—
928Dic79—22no—
929Dic79—22no—
930Dic79—22no—
931Dic79—41no—
932Dic79—41no—
933Dic79—41no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937Dic79—41no—
938Dic79—41no—
939#36739—791nomaximal, Sylow
940C2×C79—24no—
941C2×C79—81no—
942C2×C79—81no—
943C2×C79—81no—
944C2×C79C2×#53511yescharacteristic
945C2×C79#349611yescharacteristic
946C2×C79#349611yescharacteristic
947C2×C79#353411yescharacteristic
948C2×C79#353711yescharacteristic
949C2×C79#355811yescharacteristic
950C2×C79#356011yescharacteristic
951D79—42no—
952D79—42no—
953D79—81no—
954D79—81no—
955D79—81no—
956C2×#538—791no—
957C2×#534—791no—
958#2856—791no—
959#2850—791no—
960#2718—791no—
961#2718—791no—
962#2710—791no—
963#2710—791no—
964#2706—791no—
965#2706—791no—
966#2703—791no—
967#2703—791no—
968#2685—791no—
969#2685—791no—
970#2678—791no—
971#2678—791no—
972#2670—791no—
973#2670—791no—
974#2669—791no—
975#2669—791no—
976#2656—791no—
977#2639—791no—
978#2543—791no—
979#2543D7911yescharacteristic, complemented
980#2416—791no—
981#2416—791no—
982#2410—791no—
983#2410—791no—
984#2410—791no—
985#2410—791no—
986C2×#388—791no—
987C79#3673911yescharacteristic, complemented, Sylow
988C23×D4—791no—
989C23×D4—791no—
990#538—1588no—
991#534—1588no—
992C2×#127—791no—
993C2×#126—791no—
994C2×#126—791no—
995C2×#124—791no—
996C2×#124—791no—
997C2×#124—791no—
998C2×#123—791no—
999C2×#123—791no—
1000C2×#123—791no—
1001C2×#123—791no—
1002C2×#123—791no—
1003C2×#123—791no—
1004C2×C22⋊Q8—791no—
1005C2×#121—791no—
1006C2×#121—791no—
1007C2×#121—791no—
1008C2×#121—791no—
1009C2×#121—791no—
1010C2×#121—791no—
1011C2×#121—791no—
1012C2×#121—791no—
1013C2×#121—791no—
1014C2×#121—791no—
1015C2×#121—791no—
1016C2×#121—791no—
1017C2×#121—791no—
1018C2×#121—791no—
1019C2×#121C2×D7911yescharacteristic
1020C2×#121C2×D7911yescharacteristic, complemented
1021C2×#121C2×D7911yescharacteristic, complemented
1022C2×#120—791no—
1023C2×#120—791no—
1024C2×#120—791no—
1025C2×#120—791no—
1026C2×#120—791no—
1027C2×#120—791no—
1028C2×#120—791no—
1029C2×#120—791no—
1030C2×#120—791no—
1031C2×#120—791no—
1032C2×C4×D4—791no—
1033C2×C4×D4C2×D7911yescharacteristic, complemented
1034C22×C4⋊C4—791no—
1035C22×C22⋊C4—791no—
1036C22×C22⋊C4—791no—
1037C22×C22⋊C4—791no—
1038C22×C42—791no—
1039#400—791no—
1040#400—791no—
1041#399—791no—
1042#399—791no—
1043#399—791no—
1044#399—791no—
1045#398—791no—
1046#398C2×D7911yescharacteristic, complemented
1047#397—791no—
1048#397—791no—
1049#397—791no—
1050#397C2×D7911yescharacteristic, complemented
1051#396—791no—
1052#396—791no—
1053#396—791no—
1054#396—791no—
1055#394—791no—
1056#394—791no—
1057#394—791no—
1058#394—791no—
1059#394—791no—
1060#394—791no—
1061#394—791no—
1062#394—791no—
1063#394—791no—
1064#394—791no—
1065#394—791no—
1066#394—791no—
1067#394—791no—
1068#394—791no—
1069#394—791no—
1070#394C2×D7911yescharacteristic, complemented
1071#393—791no—
1072#393—791no—
1073#392—791no—
1074#392—791no—
1075#392—791no—
1076#392—791no—
1077#392—791no—
1078#392—791no—
1079#392—791no—
1080#392—791no—
1081#392—791no—
1082#392—791no—
1083#392—791no—
1084#392—791no—
1085#392—791no—
1086#392C2×D7911yescharacteristic, complemented
1087#391—791no—
1088#390—791no—
1089#390—791no—
1090#390—791no—
1091#390—791no—
1092#390—791no—
1093#390—791no—
1094#390—791no—
1095#390—791no—
1096#390—791no—
1097#389—791no—
1098#389—791no—
1099#388—791no—
1100#388—791no—
1101#388—791no—
1102#388—791no—
1103#388—791no—
1104#388—791no—
1105#388—791no—
1106#388—791no—
1107#388—791no—
1108#388—791no—
1109#388—791no—
1110#388—791no—
1111#388—791no—
1112#388—791no—
1113#388C2×D7911yescharacteristic, complemented
1114#388C2×D7911yescharacteristic, complemented
1115#386—791no—
1116#386—791no—
1117#386—791no—
1118#386—791no—
1119#386—791no—
1120#386—791no—
1121#386—791no—
1122#386—791no—
1123#386—791no—
1124#386—791no—
1125#386—791no—
1126#386—791no—
1127#386C2×D7911yescharacteristic, complemented
1128#386C2×D7911yescharacteristic, complemented
1129#386C2×D7911yescharacteristic, complemented
1130#386C2×D7911yescharacteristic, complemented
1131#385—791no—
1132#385—791no—
1133#385—791no—
1134#385—791no—
1135#384—791no—
1136#382—791no—
1137#380—791no—
1138#380—791no—
1139#379—791no—
1140#379—791no—
1141#379—791no—
1142#379—791no—
1143C2×#95—791no—
1144C2×#95C2×D7911yescharacteristic, complemented
1145C25—791no—
1146C25—791no—
1147C25—791no—
1148C22×Q8—791no—
1149C22×D4—3162no—
1150C22×D4—3162no—
1151C22×D4—3162no—
1152C22×D4—3162no—
1153C22×D4—791no—
1154C22×D4—791no—
1155C22×D4—791no—
1156C22×D4—791no—
1157C22×D4—791no—
1158C22×D4—791no—
1159C22×D4—791no—
1160C22×D4—791no—
1161C22×D4—791no—
1162C22×D4—791no—
1163C22×D4—791no—
1164C22×D4—791no—
1165C22×D4—791no—
1166C22×D4—791no—
1167C22×D4—791no—
1168C22×D4—791no—
1169C22×D4—791no—
1170C22×D4—791no—
1171C22×D4—791no—
1172C22×D4—791no—
1173C22×D4—791no—
1174C22×D4—1584no—
1175C22×D4—1584no—
1176C22×D4C22×D7911yescharacteristic
1177C22×D4C22×D7911yescharacteristic
1178C22×D4C22×D7911yescharacteristic
1179C22×D4C22×D7911yescharacteristic
1180C22×D4C22×D7911yescharacteristic
1181C22×D4C22×D7911yescharacteristic
1182C23×C4—791no—
1183C23×C4—791no—
1184C23×C4—791no—
1185C23×C4—791no—
1186C23×C4—791no—
1187C23×C4—791no—
1188C23×C4C22×D7911yescharacteristic
1189C23×C4C22×D7911yescharacteristic
1190C23×C4C22×D7911yescharacteristic
1191C23×C4C22×D7911yescharacteristic
1192#127—3162no—
1193#126—1584no—
1194#126—1584no—
1195#124—3162no—
1196#124—1584no—
1197#124—1584no—
1198#123—1584no—
1199#123—1584no—
1200#123—1584no—
1201#123—1584no—
1202#123—1584no—
1203#123—1584no—
1204C22⋊Q8—1584no—
1205#121—24no—
1206#121—42no—
1207#121—42no—
1208#121—3162no—
1209#121—3162no—
1210#121—3162no—
1211#121—3162no—
1212#121—3162no—
1213#121—3162no—
1214#121—3162no—
1215#121—3162no—
1216#121—1584no—
1217#121—1584no—
1218#121—1584no—
1219#121—1584no—
1220#121—1584no—
1221#121—1584no—
1222#120—3162no—
1223#120—3162no—
1224#120—3162no—
1225#120—3162no—
1226#120—1584no—
1227#120—1584no—
1228#120—1584no—
1229#120—1584no—
1230#120—1584no—
1231#120—1584no—
1232C4×D4—24no—
1233C4×D4—1584no—
1234C2×C4⋊C4—3162no—
1235C2×C4⋊C4—791no—
1236C2×C4⋊C4—791no—
1237C2×C4⋊C4—791no—
1238C2×C4⋊C4—791no—
1239C2×C4⋊C4—791no—
1240C2×C4⋊C4—791no—
1241C2×C4⋊C4—791no—
1242C2×C4⋊C4—791no—
1243C2×C4⋊C4—791no—
1244C2×C4⋊C4—791no—
1245C2×C4⋊C4—791no—
1246C2×C4⋊C4—791no—
1247C2×C4⋊C4—791no—
1248C2×C4⋊C4—791no—
1249C2×C4⋊C4—791no—
1250C2×C4⋊C4—791no—
1251C2×C4⋊C4—791no—
1252C2×C4⋊C4—791no—
1253C2×C4⋊C4C22×D7911yescharacteristic
1254C2×C4⋊C4C22×D7911yescharacteristic
1255C2×C4⋊C4C22×D7911yescharacteristic
1256C2×C4⋊C4C22×D7911yescharacteristic
1257C2×C22⋊C4—3162no—
1258C2×C22⋊C4—3162no—
1259C2×C22⋊C4—791no—
1260C2×C22⋊C4—791no—
1261C2×C22⋊C4—791no—
1262C2×C22⋊C4—791no—
1263C2×C22⋊C4—791no—
1264C2×C22⋊C4—791no—
1265C2×C22⋊C4—791no—
1266C2×C22⋊C4—791no—
1267C2×C22⋊C4—791no—
1268C2×C22⋊C4—791no—
1269C2×C22⋊C4—791no—
1270C2×C22⋊C4—791no—
1271C2×C22⋊C4—791no—
1272C2×C22⋊C4—791no—
1273C2×C22⋊C4—791no—
1274C2×C22⋊C4—791no—
1275C2×C22⋊C4—791no—
1276C2×C22⋊C4—791no—
1277C2×C22⋊C4—791no—
1278C2×C22⋊C4—791no—
1279C2×C22⋊C4—791no—
1280C2×C22⋊C4—791no—
1281C2×C22⋊C4—791no—
1282C2×C22⋊C4—791no—
1283C2×C22⋊C4—791no—
1284C2×C22⋊C4—798no—
1285C2×C22⋊C4—791no—
1286C2×C22⋊C4—791no—
1287C2×C22⋊C4—791no—
1288C2×C22⋊C4—791no—
1289C2×C22⋊C4—791no—
1290C2×C22⋊C4—791no—
1291C2×C22⋊C4—791no—
1292C2×C22⋊C4—791no—
1293C2×C22⋊C4—791no—
1294C2×C22⋊C4—791no—
1295C2×C22⋊C4—791no—
1296C2×C22⋊C4—791no—
1297C2×C22⋊C4—791no—
1298C2×C22⋊C4—791no—
1299C2×C22⋊C4—791no—
1300C2×C22⋊C4—791no—
1301C2×C22⋊C4—791no—
1302C2×C22⋊C4—791no—
1303C2×C22⋊C4—791no—
1304C2×C22⋊C4—791no—
1305C2×C22⋊C4—791no—
1306C2×C22⋊C4—791no—
1307C2×C22⋊C4—791no—
1308C2×C22⋊C4—791no—
1309C2×C22⋊C4—791no—
1310C2×C22⋊C4C22×D7911yescharacteristic
1311C2×C22⋊C4C22×D7911yescharacteristic
1312C2×C22⋊C4C22×D7911yescharacteristic
1313C2×C22⋊C4C22×D7911yescharacteristic
1314C2×C22⋊C4C22×D7911yescharacteristic
1315C2×C22⋊C4C22×D7911yescharacteristic
1316C2×C22⋊C4C22×D7911yescharacteristic
1317C2×C22⋊C4C22×D7911yescharacteristic
1318C2×C22⋊C4C22×D7911yescharacteristic
1319C2×C22⋊C4C22×D7911yescharacteristic
1320C2×C22⋊C4C22×D7911yescharacteristic
1321C2×C22⋊C4C22×D7911yescharacteristic
1322C2×C42—3162no—
1323C2×C42—791no—
1324C2×C42—791no—
1325C2×C42—791no—
1326C2×C42—791no—
1327C2×C42—791no—
1328C2×C42C22×D7911yescharacteristic
1329#95—791no—
1330#95—791no—
1331#95—791no—
1332#95—791no—
1333#95—791no—
1334#95—791no—
1335#95—791no—
1336#95—791no—
1337#95—791no—
1338#95—791no—
1339#95—791no—
1340#95—791no—
1341#95—791no—
1342#95—791no—
1343#95—791no—
1344#95—791no—
1345#95C22×D7911yescharacteristic
1346#95C22×D7911yescharacteristic
1347#95C22×D7911yescharacteristic
1348#95C22×D7911yescharacteristic
1349#95C22×D7911yescharacteristic
1350#95C22×D7911yescharacteristic
1351#95C22×D7911yescharacteristic
1352#95C22×D7911yescharacteristic
1353C24—3161no—
1354C24—3161no—
1355C24—3161no—
1356C24—3161no—
1357C24—3161no—
1358C24—3161no—
1359C24—3161no—
1360C24—3161no—
1361C24—3161no—
1362C24—3161no—
1363C24—3161no—
1364C24—3161no—
1365C24—3161no—
1366C24—3161no—
1367C24—3161no—
1368C24—3161no—
1369C24—794no—
1370C24—791no—
1371C24—791no—
1372C24—791no—
1373C24—791no—
1374C24—791no—
1375C24—1582no—
1376C24—1582no—
1377C24—1582no—
1378C24—1582no—
1379C24C23×D7911yescharacteristic
1380C24C23×D7911yescharacteristic
1381C24C23×D7911yescharacteristic
1382C24C23×D7911yescharacteristic
1383C2×Q8—3161no—
1384C2×Q8—3161no—
1385C2×Q8—1582no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—3161no—
1405C2×D4—3161no—
1406C2×D4—3161no—
1407C2×D4—3161no—
1408C2×D4—3161no—
1409C2×D4—3161no—
1410C2×D4—3161no—
1411C2×D4—3161no—
1412C2×D4—3161no—
1413C2×D4—3161no—
1414C2×D4—3161no—
1415C2×D4—3161no—
1416C2×D4—3161no—
1417C2×D4—3161no—
1418C2×D4—3161no—
1419C2×D4—31616no—
1420C2×D4—31616no—
1421C2×D4—3161no—
1422C2×D4—3161no—
1423C2×D4—3161no—
1424C2×D4—3161no—
1425C2×D4—3161no—
1426C2×D4—3161no—
1427C2×D4—3161no—
1428C2×D4—3161no—
1429C2×D4—3161no—
1430C2×D4—3161no—
1431C2×D4—3161no—
1432C2×D4—3161no—
1433C2×D4—3161no—
1434C2×D4—3161no—
1435C2×D4—3161no—
1436C2×D4—3161no—
1437C2×D4—3161no—
1438C2×D4—3161no—
1439C2×D4—3161no—
1440C2×D4—3161no—
1441C2×D4—3161no—
1442C2×D4—3161no—
1443C2×D4—3161no—
1444C2×D4—3161no—
1445C2×D4—1582no—
1446C2×D4—1582no—
1447C2×D4—1582no—
1448C2×D4—1582no—
1449C2×D4—1582no—
1450C2×D4—1582no—
1451C2×D4—1582no—
1452C2×D4—1582no—
1453C2×D4—1582no—
1454C2×D4—1582no—
1455C2×D4—1582no—
1456C2×D4—1582no—
1457C2×D4—1582no—
1458C2×D4—1582no—
1459C2×D4—1582no—
1460C2×D4—1582no—
1461C2×D4—1582no—
1462C2×D4—1582no—
1463C2×D4—1582no—
1464C2×D4—1582no—
1465C2×D4—1582no—
1466C2×D4—1582no—
1467C2×D4—1582no—
1468C2×D4—1582no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—3161no—
1481C22×C4—3161no—
1482C22×C4—3161no—
1483C22×C4—3161no—
1484C22×C4—3161no—
1485C22×C4—3161no—
1486C22×C4—3161no—
1487C22×C4—3161no—
1488C22×C4—3161no—
1489C22×C4—3161no—
1490C22×C4—3161no—
1491C22×C4—794no—
1492C22×C4—791no—
1493C22×C4—791no—
1494C22×C4—791no—
1495C22×C4—791no—
1496C22×C4—791no—
1497C22×C4—791no—
1498C22×C4—791no—
1499C22×C4—791no—
1500C22×C4—791no—
1501C22×C4—791no—
1502C22×C4—791no—
1503C22×C4—1582no—
1504C22×C4—1582no—
1505C22×C4—1582no—
1506C22×C4—1582no—
1507C22×C4—1582no—
1508C22×C4—1582no—
1509C22×C4D4×D7914yes—
1510C22×C4C23×D7911yescharacteristic
1511C22×C4C23×D7911yescharacteristic
1512C22×C4C23×D7911yescharacteristic
1513C22×C4C23×D7911yescharacteristic
1514C22×C4C23×D7911yescharacteristic
1515C22×C4C23×D7911yescharacteristic
1516C22×C4C23×D7911yescharacteristic
1517C22×C4C23×D7911yescharacteristic
1518C22×C4C23×D7911yescharacteristic
1519C22×C4C23×D7911yescharacteristic
1520C22×C4C23×D7911yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—41no—
1524C4⋊C4—41no—
1525C4⋊C4—3161no—
1526C4⋊C4—3161no—
1527C4⋊C4—3161no—
1528C4⋊C4—3161no—
1529C4⋊C4—3161no—
1530C4⋊C4—3161no—
1531C4⋊C4—3161no—
1532C4⋊C4—3161no—
1533C4⋊C4—1582no—
1534C4⋊C4—1582no—
1535C4⋊C4—1582no—
1536C4⋊C4—1582no—
1537C4⋊C4—1582no—
1538C4⋊C4—1582no—
1539C4⋊C4—1582no—
1540C4⋊C4—1582no—
1541C4⋊C4—1582no—
1542C4⋊C4—1582no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—3161no—
1556C22⋊C4—3161no—
1557C22⋊C4—3161no—
1558C22⋊C4—3161no—
1559C22⋊C4—3161no—
1560C22⋊C4—3161no—
1561C22⋊C4—3161no—
1562C22⋊C4—3161no—
1563C22⋊C4—3161no—
1564C22⋊C4—3161no—
1565C22⋊C4—3161no—
1566C22⋊C4—3161no—
1567C22⋊C4—3161no—
1568C22⋊C4—3161no—
1569C22⋊C4—3161no—
1570C22⋊C4—3161no—
1571C22⋊C4—3161no—
1572C22⋊C4—3161no—
1573C22⋊C4—3161no—
1574C22⋊C4—3161no—
1575C22⋊C4—3161no—
1576C22⋊C4—3161no—
1577C22⋊C4—3161no—
1578C22⋊C4—3161no—
1579C22⋊C4—3161no—
1580C22⋊C4—794no—
1581C22⋊C4—794no—
1582C22⋊C4—794no—
1583C22⋊C4—794no—
1584C22⋊C4—1582no—
1585C22⋊C4—1582no—
1586C22⋊C4—1582no—
1587C22⋊C4—1582no—
1588C22⋊C4—1582no—
1589C22⋊C4—1582no—
1590C22⋊C4—1582no—
1591C22⋊C4—1582no—
1592C22⋊C4—1582no—
1593C22⋊C4—1582no—
1594C22⋊C4—1582no—
1595C22⋊C4—1582no—
1596C22⋊C4—1582no—
1597C22⋊C4—1582no—
1598C22⋊C4—1582no—
1599C22⋊C4—1582no—
1600C22⋊C4—1582no—
1601C22⋊C4—1582no—
1602C22⋊C4—1582no—
1603C22⋊C4—1582no—
1604C22⋊C4—1582no—
1605C42—22no—
1606C42—3161no—
1607C42—3161no—
1608C42—1582no—
1609C42—1582no—
1610C42—1582no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—3164no—
1637C23—3164no—
1638C23—3164no—
1639C23—3164no—
1640C23—792no—
1641C23—792no—
1642C23—6322no—
1643C23—6322no—
1644C23—6322no—
1645C23—6322no—
1646C23—6322no—
1647C23—6322no—
1648C23—6322no—
1649C23—6322no—
1650C23—6322no—
1651C23—6322no—
1652C23—6322no—
1653C23—6322no—
1654C23—6322no—
1655C23—6322no—
1656C23—6322no—
1657C23—6322no—
1658C23—1581no—
1659C23—1581no—
1660C23—1581no—
1661C23—1581no—
1662C23—1581no—
1663C23—1581no—
1664C23—1581no—
1665C23—1581no—
1666C23—1581no—
1667C23—1581no—
1668C23—1581no—
1669C23—1581no—
1670C23—1581no—
1671C23—1581no—
1672C23—1581no—
1673C23—1581no—
1674C23—1581no—
1675C23—1581no—
1676C23—1581no—
1677C23—1581no—
1678C23—1581no—
1679C23—1581no—
1680C23—1581no—
1681C23—1581no—
1682C23—1581no—
1683C23—1581no—
1684C23—1581no—
1685C23—1581no—
1686C23—1581no—
1687C23—1581no—
1688C23—1581no—
1689C23—1581no—
1690C23—1581no—
1691C23—1588no—
1692C23C2×D4×D7912yes—
1693C23#1457920612yes—
1694C23#1457920712yes—
1695C23C24×D7911yescharacteristic
1696Q8—6322no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—3164no—
1704D4—3164no—
1705D4—3164no—
1706D4—3164no—
1707D4—3164no—
1708D4—3164no—
1709D4—3164no—
1710D4—6322no—
1711D4—6322no—
1712D4—6322no—
1713D4—6322no—
1714D4—6322no—
1715D4—6322no—
1716D4—6322no—
1717D4—6322no—
1718D4—6322no—
1719D4—6322no—
1720D4—6322no—
1721D4—6322no—
1722D4—6322no—
1723D4—6322no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—82no—
1757C2×C4—82no—
1758C2×C4—3164no—
1759C2×C4—3164no—
1760C2×C4—3164no—
1761C2×C4—3164no—
1762C2×C4—792no—
1763C2×C4—792no—
1764C2×C4—792no—
1765C2×C4—6322no—
1766C2×C4—6322no—
1767C2×C4—1581no—
1768C2×C4—1581no—
1769C2×C4—1581no—
1770C2×C4—1581no—
1771C2×C4—1581no—
1772C2×C4—1581no—
1773C2×C4—1581no—
1774C2×C4—1581no—
1775C2×C4—1581no—
1776C2×C4—1581no—
1777C2×C4—1581no—
1778C2×C4—1581no—
1779C2×C4—1581no—
1780C2×C4—1581no—
1781C2×C4—1581no—
1782C2×C4—1581no—
1783C2×C4—1581no—
1784C2×C4—1581no—
1785C2×C4—1581no—
1786C2×C4—1581no—
1787C2×C4—1581no—
1788C2×C4—1581no—
1789C2×C4—1581no—
1790C2×C4—1581no—
1791C2×C4—1581no—
1792C2×C4—1581no—
1793C2×C4—1581no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4C2×D4×D7912yes—
1798C2×C4C2×D4×D7912yes—
1799C2×C4#1457920712yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—3161no—
1828C22—3161no—
1829C22—3161no—
1830C22—3161no—
1831C22—3161no—
1832C22—3161no—
1833C22—3161no—
1834C22—3161no—
1835C22—3161no—
1836C22—3161no—
1837C22—3161no—
1838C22—3161no—
1839C22—3161no—
1840C22—3161no—
1841C22—3161no—
1842C22—3161no—
1843C22—3161no—
1844C22—3161no—
1845C22—3161no—
1846C22—3161no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—3161no—
1854C22—3161no—
1855C22—3161no—
1856C22—6328no—
1857C22—6328no—
1858C22—6328no—
1859C22—1582no—
1860C22—1582no—
1861C22—1582no—
1862C22—1582no—
1863C22—1582no—
1864C22—1582no—
1865C22#1909912914yes—
1866C22C22×D4×D7911yescharacteristic
1867C22H(5,𝔽2)×D7911yescharacteristic
1868C22C2×#1457920611yescharacteristic
1869C22C2×#1457920711yescharacteristic
1870C22C2×#1457920711yescharacteristic
1871C22#1909939811yescharacteristic
1872C22#1909939911yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—3161no—
1885C4—3161no—
1886C4—3161no—
1887C4—3161no—
1888C4—3161no—
1889C4—3161no—
1890C4—3161no—
1891C4—3161no—
1892C4—1582no—
1893C4—1582no—
1894C4—1582no—
1895C2—24no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—3162no—
1900C2—3162no—
1901C2—6321no—
1902C2—6321no—
1903C2—6321no—
1904C2C2×#1909912911yescharacteristic
1905C2#2377716111yescharacteristic
1906C2#2377716211yescharacteristic
1907C2#2377758611yescharacteristic
1908C2#2377763611yescharacteristic
1909C2#2377791011yescharacteristic
1910C2#2377795111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2543C2
hypercenter#2543D79
hypocenterC79#36739
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2543

Complements

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

NH ≅ G/Ntype
1. C2×#19099146C2semidirect
2. C2×#19099121C2semidirect
3. #23771743C2semidirect
4. #23771697C2semidirect
5. #23770255C2semidirect
6. #23770253C2semidirect
7. #23770147C2semidirect
8. #23770145C2semidirect
9. #23770092C2semidirect
10. #23770090C2semidirect
11. #23770047C2semidirect
12. #23770045C2semidirect
13. #23769796C2semidirect
14. #23769794C2semidirect
15. #23769732C2semidirect
16. #23769726C2semidirect
17. #23769627C2semidirect
18. #23769624C2semidirect
19. #23769619C2semidirect
20. #23769618C2semidirect
21. #23769504C2semidirect
22. #23769330C2semidirect
23. #23768360C2semidirect
24. #23766841C2semidirect
25. #23766840C2semidirect
26. #23766773C2semidirect
27. #23766773C2semidirect
28. #23766771C2semidirect
29. #23766771C2semidirect
30. C2×#19098455C2semidirect
31. C79×#2543C2semidirect
36. C2×#14579157C22semidirect
37. C2×#14579156C22semidirect
38. C2×#14579155C22semidirect
39. C2×#14579149C22semidirect
40. C2×#14579147C22semidirect
41. C2×#14579147C22semidirect
44. C2×#14579146C22semidirect
45. C2×#14579144C22semidirect
48. C2×#14579138C22semidirect
50. C2×#14579135C22semidirect
51. C2×#14579135C22semidirect
52. C2×#14579135C22semidirect
53. C2×#14579135C22semidirect
54. C2×#14579134C22semidirect
57. C2×#14579133C22semidirect
58. C2×#14579133C22semidirect
59. C2×#14579133C22semidirect
60. C2×#14579133C22semidirect
61. C2×#14579133C22semidirect
62. C2×#14579132C22semidirect
66. C2×#14579131C22semidirect
67. C2×#14579131C22semidirect
71. C2×#14579129C22semidirect
72. C2×#14579129C22semidirect
73. C2×C4×C22⋊D79C22semidirect
74. C22×C4⋊Dic79C22semidirect
78. C22×C4×Dic79C22semidirect
79. #19098505C22semidirect
80. #19098504C22semidirect
81. #19098499C22semidirect
82. #19098499C22semidirect
83. #19098498C22semidirect
84. #19098498C22semidirect
85. #19098495C22semidirect
86. #19098492C22semidirect
87. #19098491C22semidirect
88. #19098490C22semidirect
89. #19098486C22semidirect
90. #19098486C22semidirect
91. #19098485C22semidirect
92. #19098485C22semidirect
95. #19098481C22semidirect
100. #19098479C22semidirect
101. #19098479C22semidirect
102. #19098479C22semidirect
103. #19098479C22semidirect
104. #19098479C22semidirect
107. #19098478C22semidirect
108. #19098476C22semidirect
109. #19098475C22semidirect
112. #19098473C22semidirect
117. #19098472C22semidirect
118. #19098472C22semidirect
121. #19098471C22semidirect
122. #19098471C22semidirect
123. #19098467C22semidirect
124. #19098466C22semidirect
125. #19098466C22semidirect
126. #19098465C22semidirect
127. #19098464C22semidirect
128. #19098463C22semidirect
129. #19098463C22semidirect
130. #19098463C22semidirect
131. #19098463C22semidirect
132. #19098463C22semidirect
133. #19098461C22semidirect
134. #19098459C22semidirect
135. #19098456C22semidirect
136. #19098455C22semidirect
137. #19098455C22semidirect
138. #19098455C22semidirect
139. #19098455C22semidirect
140. #19098455C22semidirect
141. #19098455C22semidirect
142. #19098455C22semidirect
143. #19098455C22semidirect
144. #19098455C22semidirect
145. #19098455C22semidirect
146. #19098455C22semidirect
147. #19098452C22semidirect
148. #19098451C22semidirect
149. #19098443C22semidirect
150. #19098443C22semidirect
151. #19098442C22semidirect
152. #19098442C22semidirect
153. #19098441C22semidirect
154. #19098441C22semidirect
155. #19098441C22semidirect
156. #19098441C22semidirect
157. #19098440C22semidirect
158. #19098440C22semidirect
159. #19098439C22semidirect
160. #19098439C22semidirect
161. #19098437C22semidirect
162. #19098437C22semidirect
163. #19098434C22semidirect
164. #19098434C22semidirect
165. #19098432C22semidirect
166. #19098427C22semidirect
167. #19098423C22semidirect
168. #19098420C22semidirect
169. #19098418C22semidirect
170. #19098418C22semidirect
171. #19098418C22semidirect
172. #19098418C22semidirect
173. C2×C79⋊#95C22semidirect
175. C2×#121×C79C22semidirect
176. C2×#121×C79C22semidirect
177. C2×C4×D4×C79C22semidirect
178. #398×C79C22semidirect
179. #397×C79C22semidirect
180. #394×C79C22semidirect
181. #392×C79C22semidirect
182. #388×C79C22semidirect
183. #388×C79C22semidirect
184. #386×C79C22semidirect
185. #386×C79C22semidirect
186. #386×C79C22semidirect
187. #386×C79C22semidirect
188. C2×#95×C79C22semidirect
297. C2×(C2×D79)⋊C4D4semidirect
979. #2543D79semidirect
987. C79#36739semidirect
1020. C2×#121C2×D79semidirect
1021. C2×#121C2×D79semidirect
1033. C2×C4×D4C2×D79semidirect
1046. #398C2×D79semidirect
1050. #397C2×D79semidirect
1070. #394C2×D79semidirect
1086. #392C2×D79semidirect
1113. #388C2×D79semidirect
1114. #388C2×D79semidirect
1127. #386C2×D79semidirect
1128. #386C2×D79semidirect
1129. #386C2×D79semidirect
1130. #386C2×D79semidirect
1144. C2×#95C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991462
C2×#190991212
#237717432
#237716972
#237702552
#237702532
#237701472
#237701452
#237700922
#237700902
#237700472
#237700452
#237697962
#237697942
#237697322
#237697262
#237696272
#237696242
#237696192
#237696182
#237695042
#237693302
#237683602
#237668412
#237668402
#237667732
#237667712
C2×#190984552
C79×#25432
#3673979