Finite Group Databasebeta

← #34501887

Subgroups — #34501887

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×#19099152C211yesmaximal, characteristic, complemented
2C2×#124×D79C211yesmaximal, characteristic, complemented
3#23771735C211yesmaximal, characteristic, complemented
4#23771733C211yesmaximal, characteristic, complemented
5#23770216C211yesmaximal, characteristic, complemented
6#23770212C211yesmaximal, characteristic, complemented
7#23770207C211yesmaximal, characteristic, complemented
8#23770172C211yesmaximal, characteristic, complemented
9#23770170C211yesmaximal, characteristic, complemented
10#23770169C211yesmaximal, characteristic, complemented
11#23770167C211yesmaximal, characteristic, complemented
12#23769707C211yesmaximal, characteristic, complemented
13#23769704C211yesmaximal, characteristic, complemented
14#23769699C211yesmaximal, characteristic, complemented
15#23769696C211yesmaximal, characteristic, complemented
16#23769658C211yesmaximal, characteristic, complemented
17#23769652C211yesmaximal, characteristic, complemented
18#23769650C211yesmaximal, characteristic, complemented
19#23769644C211yesmaximal, characteristic, complemented
20#23769210C211yesmaximal, characteristic, complemented
21#23769135C211yesmaximal, characteristic, complemented
22#23768294C211yesmaximal, characteristic, complemented
23#23768291C211yesmaximal, characteristic, complemented
24#23766793C211yesmaximal, characteristic, complemented
25#23766789C211yesmaximal, characteristic, complemented
26#23766773C211yesmaximal, characteristic, complemented
27#23766769C211yesmaximal, characteristic, complemented
28#23766763C211yesmaximal, characteristic, complemented
29#23766760C211yesmaximal, characteristic, complemented
30#23766011C211yesmaximal, characteristic, complemented
31C79×#2715C211yesmaximal, characteristic, complemented
32C22×Q8×D79C2211yescharacteristic
33C22×D4×D79C2211yescharacteristic
34#19099152—28no—
35C2×#14579156C2211yescharacteristic, complemented
36C2×#14579150C2211yescharacteristic
37C2×#14579149C2211yescharacteristic
38C2×#14579149C2211yescharacteristic, complemented
39C2×#14579148C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic
43C2×#14579147C2211yescharacteristic
44C2×#14579147C2211yescharacteristic, complemented
45#124×D79—28no—
46C2×#14579146C2211yescharacteristic
47C2×#14579146C2211yescharacteristic
48C2×#14579146C2211yescharacteristic, complemented
49C2×#14579143C2211yescharacteristic, complemented
50C2×#14579141C2211yescharacteristic, complemented
51C2×#14579139C2211yescharacteristic
52C2×#14579139C2211yescharacteristic, complemented
53C2×#14579139C2211yescharacteristic, complemented
54C2×#14579137C2211yescharacteristic, complemented
55C2×#14579136C2211yescharacteristic
56C2×#14579136C2211yescharacteristic
57C2×#14579136C2211yescharacteristic, complemented
58C2×#14579135C2211yescharacteristic
59C2×#14579134C2211yescharacteristic
60C2×#14579134C2211yescharacteristic, complemented
61C2×#14579133C2211yescharacteristic
62C2×#14579131C2211yescharacteristic
63C2×#14579131C2211yescharacteristic
64C2×#14579131C2211yescharacteristic
65C2×#14579131C2211yescharacteristic
66C2×C4×D316C2211yescharacteristic
67C2×#14579123C2211yescharacteristic
68C22×(C2×D79)⋊C4C2211yescharacteristic
69C2×C22⋊C4×D79C2211yescharacteristic
70C2×C22⋊C4×D79C2211yescharacteristic
71C2×C22⋊C4×D79C2211yescharacteristic
72C2×C22⋊C4×D79C2211yescharacteristic
73C2×C22⋊C4×D79C2211yescharacteristic
74C2×C42×D79C2211yescharacteristic
75#19098499C2211yescharacteristic, complemented
76#19098498C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic, complemented
78#19098491C2211yescharacteristic, complemented
79#19098489C2211yescharacteristic, complemented
80#19098489C2211yescharacteristic, complemented
81#19098486C2211yescharacteristic, complemented
82#19098486C2211yescharacteristic, complemented
83#19098485C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098484C2211yescharacteristic, complemented
88#19098484C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098481C2211yescharacteristic
91#19098481C2211yescharacteristic, complemented
92#19098481C2211yescharacteristic, complemented
93#19098481C2211yescharacteristic, complemented
94#19098481C2211yescharacteristic, complemented
95#19098480C2211yescharacteristic, complemented
96#19098480C2211yescharacteristic, complemented
97#19098479C2211yescharacteristic
98#19098479C2211yescharacteristic, complemented
99#19098479C2211yescharacteristic, complemented
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic, complemented
102#19098478C2211yescharacteristic, complemented
103#19098478C2211yescharacteristic, complemented
104#19098478C2211yescharacteristic, complemented
105#19098476C2211yescharacteristic, complemented
106#19098476C2211yescharacteristic, complemented
107#19098476C2211yescharacteristic, complemented
108#19098476C2211yescharacteristic, complemented
109#19098475C2211yescharacteristic, complemented
110#19098474C2211yescharacteristic, complemented
111#19098473C2211yescharacteristic
112#19098473C2211yescharacteristic, complemented
113#19098472C2211yescharacteristic
114#19098472C2211yescharacteristic
115#19098472C2211yescharacteristic, complemented
116#19098471C2211yescharacteristic
117#19098469C2211yescharacteristic, complemented
118#19098467C2211yescharacteristic, complemented
119#19098467C2211yescharacteristic, complemented
120#19098467C2211yescharacteristic, complemented
121#19098467C2211yescharacteristic, complemented
122#19098465C2211yescharacteristic, complemented
123#19098464C2211yescharacteristic, complemented
124#19098460C2211yescharacteristic, complemented
125#19098459C2211yescharacteristic, complemented
126#19098458C2211yescharacteristic, complemented
127#19098457C2211yescharacteristic, complemented
128#19098454C2211yescharacteristic, complemented
129#19098453C2211yescharacteristic, complemented
130#19098453C2211yescharacteristic, complemented
131#19098453C2211yescharacteristic, complemented
132#19098452C2211yescharacteristic, complemented
133#19098452C2211yescharacteristic, complemented
134#19098448C2211yescharacteristic, complemented
135#19098447C2211yescharacteristic, complemented
136#19098444C2211yescharacteristic, complemented
137#19098442C2211yescharacteristic, complemented
138#19098441C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098441C2211yescharacteristic
143#19098441C2211yescharacteristic, complemented
144#19098441C2211yescharacteristic, complemented
145#19098441C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic, complemented
147#19098440C2211yescharacteristic
148#19098440C2211yescharacteristic, complemented
149#19098439C2211yescharacteristic
150#19098439C2211yescharacteristic, complemented
151#19098439C2211yescharacteristic, complemented
152#19098438C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic
154#19098437C2211yescharacteristic
155#19098437C2211yescharacteristic, complemented
156#19098437C2211yescharacteristic, complemented
157#19098436C2211yescharacteristic, complemented
158#19098435C2211yescharacteristic, complemented
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×#126×C79C2211yescharacteristic, complemented
175C2×#124×C79C2211yescharacteristic
176#397×C79C2211yescharacteristic, complemented
177#397×C79C2211yescharacteristic, complemented
178#396×C79C2211yescharacteristic, complemented
179#396×C79C2211yescharacteristic, complemented
180#395×C79C2211yescharacteristic, complemented
181#394×C79C2211yescharacteristic
182#391×C79C2211yescharacteristic, complemented
183#389×C79C2211yescharacteristic, complemented
184#388×C79C2211yescharacteristic, complemented
185#387×C79C2211yescharacteristic, complemented
186#386×C79C2211yescharacteristic
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×D316C2311yescharacteristic
203C22×D316C2311yescharacteristic
204C22×D316C2311yescharacteristic
205C22×D316C2311yescharacteristic
206C22×C22⋊D79C2311yescharacteristic
207C22×C22⋊D79C2311yescharacteristic
208C22×C22⋊D79C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C22×C22⋊D79C2311yescharacteristic
211C22×C22⋊D79C2311yescharacteristic
212C2×D4×D79—24no—
213C2×D4×D79—42no—
214C2×D4×D79—42no—
215C23×Dic79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217C22×C4×D79C2311yescharacteristic
218C22×C4×D79C2311yescharacteristic
219C22×C4×D79C2311yescharacteristic
220C22×C4×D79C2311yescharacteristic
221C22×C4×D79C2311yescharacteristic
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225#14579156—24no—
226#14579150—24no—
227#14579149—24no—
228#14579149—24no—
229#14579148—24no—
230#14579147—24no—
231#14579147—24no—
232#14579147—24no—
233#14579147—24no—
234#14579147—24no—
235#14579146—24no—
236#14579146—42no—
237#14579146—42no—
238#14579143—24no—
239#14579141—42no—
240#14579139—24no—
241#14579139—42no—
242#14579139—42no—
243#14579137—42no—
244#14579136—24no—
245#14579136—24no—
246#14579136—42no—
247#14579135—42no—
248#14579134—24no—
249#14579134—42no—
250#14579133—42no—
251#14579131—24no—
252#14579131—24no—
253#14579131—42no—
254#14579131—42no—
255C4×D316—24no—
256#14579123—24no—
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×C4⋊Dic79C2311yescharacteristic
261C2×C4⋊Dic79C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×C22⋊Dic79C2311yescharacteristic
275C2×C22⋊Dic79C2311yescharacteristic
276C2×C22⋊Dic79C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×(C2×D79)⋊C4—42no—
282C2×(C2×D79)⋊C4C2311yescharacteristic
283C2×(C2×D79)⋊C4C2311yescharacteristic
284C2×(C2×D79)⋊C4C2311yescharacteristic
285C2×(C2×D79)⋊C4C2311yescharacteristic
286C2×(C2×D79)⋊C4C2311yescharacteristic
287C2×(C2×D79)⋊C4C2311yescharacteristic
288C2×(C2×D79)⋊C4C2311yescharacteristic
289C2×(C2×D79)⋊C4C2311yescharacteristic
290C2×(C2×D79)⋊C4C2311yescharacteristic
291C2×(C2×D79)⋊C4C2311yescharacteristic
292C2×(C2×D79)⋊C4C2311yescharacteristic
293C2×(C2×D79)⋊C4C2311yescharacteristic
294C2×(C2×D79)⋊C4C2311yescharacteristic
295C2×(C2×D79)⋊C4C2311yescharacteristic
296C2×(C2×D79)⋊C4C2311yescharacteristic
297C2×(C2×D79)⋊C4C2311yescharacteristic
298C2×(C2×D79)⋊C4C2311yescharacteristic
299C2×(C2×D79)⋊C4C2311yescharacteristic
300C2×(C2×D79)⋊C4C2311yescharacteristic
301C2×(C2×D79)⋊C4C2311yescharacteristic
302C2×(C2×D79)⋊C4C2311yescharacteristic
303C2×(C2×D79)⋊C4C2311yescharacteristic
304C2×(C2×D79)⋊C4C2311yescharacteristic
305C2×(C2×D79)⋊C4C2311yescharacteristic
306C2×(C2×D79)⋊C4C2311yescharacteristic
307C2×(C2×D79)⋊C4C2311yescharacteristic
308C2×(C2×D79)⋊C4C2311yescharacteristic
309C2×(C2×D79)⋊C4C2311yescharacteristic
310C2×(C2×D79)⋊C4C2311yescharacteristic
311C2×(C2×D79)⋊C4C2311yescharacteristic
312C2×(C2×D79)⋊C4C2311yescharacteristic
313C2×(C2×D79)⋊C4C2311yescharacteristic
314C2×(C2×D79)⋊C4C2311yescharacteristic
315C2×(C2×D79)⋊C4C2311yescharacteristic
316C2×(C2×D79)⋊C4C2311yescharacteristic
317C2×(C2×D79)⋊C4C2311yescharacteristic
318C2×(C2×D79)⋊C4C2311yescharacteristic
319C2×(C2×D79)⋊C4C2311yescharacteristic
320C2×(C2×D79)⋊C4C2311yescharacteristic
321C2×(C2×D79)⋊C4C2311yescharacteristic
322C22⋊C4×D79—24no—
323C22⋊C4×D79—24no—
324C22⋊C4×D79—24no—
325C22⋊C4×D79—42no—
326C22⋊C4×D79D418yescomplemented
327C2×C4×Dic79C2311yescharacteristic
328C2×C4×Dic79C2311yescharacteristic
329C2×C4×Dic79C2311yescharacteristic
330C2×C4×Dic79C2311yescharacteristic
331C42×D79—24no—
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
352C79⋊#95C2311yescharacteristic
353C79⋊#95C2311yescharacteristic
354C22×Q8×C79C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357#126×C79—24no—
358#124×C79—24no—
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C4⋊C4×C79C2311yescharacteristic
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×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C22⋊C4×C79C2311yescharacteristic
377C2×C22⋊C4×C79C2311yescharacteristic
378C2×C22⋊C4×C79C2311yescharacteristic
379C2×C42×C79C2311yescharacteristic
380C2×C42×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×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
409C23×D79C2411yescharacteristic
410C2×Dic158—22no—
411C2×Dic158—22no—
412C2×Dic158—22no—
413C2×Dic158—22no—
414C2×Dic158—22no—
415C2×Dic158—22no—
416C2×Dic158—22no—
417C2×Dic158—41no—
418C2×Dic158—41no—
419C2×Dic158—41no—
420C2×Dic158—41no—
421C2×Dic158—41no—
422Q8×D79—416no—
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—22no—
426C2×D316—22no—
427C2×D316—22no—
428C2×D316—22no—
429C2×D316—22no—
430C2×D316—22no—
431C2×D316—22no—
432C2×D316—22no—
433C2×D316—22no—
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—41no—
454C2×C22⋊D79—41no—
455C2×C22⋊D79—41no—
456C2×C22⋊D79—41no—
457C2×C22⋊D79—41no—
458C2×C22⋊D79—41no—
459C2×C22⋊D79—41no—
460C2×C22⋊D79—41no—
461C2×C22⋊D79—41no—
462C2×C22⋊D79—41no—
463C2×C22⋊D79—41no—
464C2×C22⋊D79—41no—
465D4×D79—416no—
466C22×Dic79—41no—
467C22×Dic79—41no—
468C22×Dic79—41no—
469C22×Dic79C2411yescharacteristic
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2411yescharacteristic
472C22×Dic79C2411yescharacteristic
473C22×Dic79C2411yescharacteristic
474C22×Dic79C2411yescharacteristic
475C22×Dic79C2411yescharacteristic
476C22×Dic79C2411yescharacteristic
477C22×Dic79C2411yescharacteristic
478C22×Dic79C2411yescharacteristic
479C22×Dic79C2411yescharacteristic
480C2×C4×D79—22no—
481C2×C4×D79—22no—
482C2×C4×D79—22no—
483C2×C4×D79—22no—
484C2×C4×D79—22no—
485C2×C4×D79—22no—
486C2×C4×D79—22no—
487C2×C4×D79—22no—
488C2×C4×D79—22no—
489C2×C4×D79—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×D79—41no—
497C2×C4×D79—41no—
498C2×C4×D79—41no—
499C2×C4×D79—41no—
500C2×C4×D79—41no—
501C2×C4×D79—41no—
502C2×C4×D79—41no—
503C2×C4×D79—41no—
504C2×C4×D79—41no—
505C2×C4×D79C2×D414yes—
506C2×C4×D79C2×D414yes—
507C4⋊Dic79—22no—
508C4⋊Dic79—22no—
509C4⋊Dic79—41no—
510C4⋊Dic79—41no—
511C4⋊Dic79—41no—
512Dic79⋊C4—22no—
513Dic79⋊C4—22no—
514Dic79⋊C4—22no—
515Dic79⋊C4—22no—
516Dic79⋊C4—41no—
517Dic79⋊C4—41no—
518Dic79⋊C4—41no—
519Dic79⋊C4—41no—
520Dic79⋊C4—41no—
521Dic79⋊C4—41no—
522Dic79⋊C4—41no—
523Dic79⋊C4—41no—
524C22⋊Dic79—22no—
525C22⋊Dic79—22no—
526C22⋊Dic79—22no—
527C22⋊Dic79—41no—
528C22⋊Dic79—41no—
529C22⋊Dic79—41no—
530C22⋊Dic79C2×D414yes—
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—22no—
547(C2×D79)⋊C4—22no—
548(C2×D79)⋊C4—22no—
549(C2×D79)⋊C4—22no—
550(C2×D79)⋊C4—22no—
551(C2×D79)⋊C4—22no—
552(C2×D79)⋊C4—22no—
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)⋊C4—41no—
559(C2×D79)⋊C4—41no—
560(C2×D79)⋊C4—41no—
561(C2×D79)⋊C4—41no—
562(C2×D79)⋊C4—41no—
563(C2×D79)⋊C4—41no—
564(C2×D79)⋊C4—41no—
565(C2×D79)⋊C4—41no—
566(C2×D79)⋊C4—41no—
567(C2×D79)⋊C4—41no—
568(C2×D79)⋊C4—41no—
569(C2×D79)⋊C4C2×D414yes—
570(C2×D79)⋊C4C2×D414yes—
571C4×Dic79—22no—
572C4×Dic79—22no—
573C4×Dic79—22no—
574C4×Dic79—22no—
575C24×C79C2411yescharacteristic
576C24×C79C2411yescharacteristic
577C2×Q8×C79—22no—
578C2×Q8×C79—22no—
579C2×Q8×C79—41no—
580C2×D4×C79—22no—
581C2×D4×C79—22no—
582C2×D4×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
598C22×C4×C79C2411yescharacteristic
599C4⋊C4×C79—22no—
600C4⋊C4×C79—22no—
601C4⋊C4×C79—22no—
602C4⋊C4×C79—22no—
603C4⋊C4×C79—41no—
604C4⋊C4×C79—41no—
605C4⋊C4×C79—41no—
606C4⋊C4×C79—41no—
607C4⋊C4×C79—41no—
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×C79C2×D414yes—
619C42×C79—22no—
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×C79C22×D412yes—
635C23×C79C2511yescharacteristic
636C22×D79—21no—
637C22×D79—21no—
638C22×D79—21no—
639C22×D79—21no—
640C22×D79—21no—
641C22×D79—21no—
642C22×D79—21no—
643C22×D79—21no—
644C22×D79—21no—
645C22×D79—21no—
646C22×D79—28no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
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—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—21no—
691C2×C4×C79—21no—
692C2×C4×C79—21no—
693C2×C4×C79—21no—
694C2×C4×C79—21no—
695C2×C4×C79—21no—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—82no—
724C2×C4×C79C22×D412yes—
725C2×C4×C79C22×D412yes—
726C2×C4×C79H(5,𝔽2)12yes—
727C22⋊D79—44no—
728C22⋊D79—44no—
729C22⋊D79—82no—
730C22⋊D79—82no—
731C22⋊D79—82no—
732C22⋊D79—82no—
733C2×Dic79—21no—
734C2×Dic79—21no—
735C2×Dic79—21no—
736C2×Dic79—21no—
737C2×Dic79—21no—
738C2×Dic79—21no—
739C2×Dic79—21no—
740C2×Dic79—21no—
741C2×Dic79—21no—
742C2×Dic79—21no—
743C2×Dic79—21no—
744C2×Dic79—21no—
745C2×Dic79—21no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—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—82no—
764C2×Dic79C22×D412yes—
765C2×Dic79C22×D412yes—
766C2×Dic79H(5,𝔽2)12yes—
767D316—44no—
768D316—44no—
769D316—44no—
770D316—82no—
771D316—82no—
772D316—82no—
773D316—82no—
774D316—82no—
775C4×D79—28no—
776C4×D79—44no—
777C4×D79—44no—
778C4×D79—44no—
779C4×D79—44no—
780C4×D79—82no—
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×C79C23×D411yescharacteristic
803C22×C79C2×H(5,𝔽2)11yescharacteristic
804C22×C79C2×H(5,𝔽2)11yescharacteristic
805C22×C79C2×H(5,𝔽2)11yescharacteristic
806C22×C79C2×2−1+411yescharacteristic
807C22×C79#58511yescharacteristic
808C22×C79#58511yescharacteristic
809C2×D79—22no—
810C2×D79—22no—
811C2×D79—22no—
812C2×D79—22no—
813C2×D79—22no—
814C2×D79—22no—
815C2×D79—22no—
816C2×D79—22no—
817C2×D79—22no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—41no—
825C2×D79—41no—
826C2×D79—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—
858C4×C79—41no—
859Dic79—22no—
860Dic79—22no—
861Dic79—22no—
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×C79C2×#53711yescharacteristic
874C2×C79#348411yescharacteristic
875C2×C79#348511yescharacteristic
876C2×C79#355811yescharacteristic
877C2×C79#355811yescharacteristic
878C2×C79#356111yescharacteristic
879C2×C79#356111yescharacteristic
880D79—24no—
881D79—42no—
882D79—81no—
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#2715D7911yescharacteristic, complemented
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#2672—791no—
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×#126C2×D7911yescharacteristic, complemented
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×#123—791no—
937C2×C22⋊Q8—791no—
938C2×C22⋊Q8—791no—
939C2×C22⋊Q8—791no—
940C2×C22⋊Q8—791no—
941C2×C22⋊Q8—791no—
942C2×#121—791no—
943C2×#121—791no—
944C2×#121—791no—
945C2×#121—791no—
946C2×#121—791no—
947C2×#121—791no—
948C2×#121—791no—
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#399—791no—
964#397—791no—
965#397—791no—
966#397—791no—
967#397—791no—
968#397C2×D7911yescharacteristic, complemented
969#397C2×D7911yescharacteristic, complemented
970#396—791no—
971#396—791no—
972#396—791no—
973#396—791no—
974#396—791no—
975#396—791no—
976#396C2×D7911yescharacteristic, complemented
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#394—791no—
996#394—791no—
997#394C2×D7911yescharacteristic
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#391C2×D7911yescharacteristic, complemented
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#387C2×D7911yescharacteristic, complemented
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
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—791no—
1099C22×D4—791no—
1100C22×D4—1584no—
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×C4—791no—
1112C23×C4C22×D7911yescharacteristic
1113#126—24no—
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—3162no—
1126#123—3162no—
1127#123—1584no—
1128#123—1584no—
1129C22⋊Q8—3162no—
1130C22⋊Q8—3162no—
1131C22⋊Q8—3162no—
1132C22⋊Q8—3162no—
1133C22⋊Q8—1584no—
1134#121—3162no—
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—791no—
1197C2×C22⋊C4—798no—
1198C2×C22⋊C4—791no—
1199C2×C22⋊C4—791no—
1200C2×C22⋊C4—791no—
1201C2×C22⋊C4—791no—
1202C2×C22⋊C4—791no—
1203C2×C22⋊C4—791no—
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—791no—
1221C2×C22⋊C4—791no—
1222C2×C22⋊C4—791no—
1223C2×C22⋊C4—1584no—
1224C2×C22⋊C4—1584no—
1225C2×C22⋊C4—1584no—
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—1584no—
1242C2×C42C22×D7911yescharacteristic
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#95C22×D7911yescharacteristic
1267#95C22×D7911yescharacteristic
1268#95C22×D7911yescharacteristic
1269#95C22×D7911yescharacteristic
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—791no—
1290C24—1582no—
1291C24—1582no—
1292C24—1582no—
1293C24—1582no—
1294C24—1582no—
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—41no—
1316C2×D4—3161no—
1317C2×D4—3161no—
1318C2×D4—3161no—
1319C2×D4—3161no—
1320C2×D4—3161no—
1321C2×D4—3161no—
1322C2×D4—3161no—
1323C2×D4—3161no—
1324C2×D4—3161no—
1325C2×D4—3161no—
1326C2×D4—3161no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—31616no—
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—1582no—
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—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—3161no—
1363C22×C4—3161no—
1364C22×C4—3161no—
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—794no—
1382C22×C4—794no—
1383C22×C4—791no—
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—1582no—
1395C22×C4—1582no—
1396C22×C4—1582no—
1397C22×C4—1582no—
1398C22×C4—1582no—
1399C22×C4—1582no—
1400C22×C4—1582no—
1401C22×C4—1582no—
1402C22×C4—1582no—
1403C22×C4C23×D7911yescharacteristic
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—41no—
1448C22⋊C4—41no—
1449C22⋊C4—41no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—3161no—
1453C22⋊C4—3161no—
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—794no—
1472C22⋊C4—794no—
1473C22⋊C4—794no—
1474C22⋊C4—1582no—
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—22no—
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—3164no—
1520C23—3164no—
1521C23—3164no—
1522C23—3164no—
1523C23—3164no—
1524C23—792no—
1525C23—792no—
1526C23—792no—
1527C23—792no—
1528C23—6322no—
1529C23—6322no—
1530C23—6322no—
1531C23—6322no—
1532C23—6322no—
1533C23—6322no—
1534C23—6322no—
1535C23—6322no—
1536C23—1588no—
1537C23—1581no—
1538C23—1581no—
1539C23—1581no—
1540C23—1581no—
1541C23—1581no—
1542C23—1581no—
1543C23—1581no—
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—3164no—
1577D4—3164no—
1578D4—3164no—
1579D4—3164no—
1580D4—3164no—
1581D4—6322no—
1582D4—6322no—
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—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—82no—
1627C2×C4—3164no—
1628C2×C4—3164no—
1629C2×C4—3164no—
1630C2×C4—3164no—
1631C2×C4—792no—
1632C2×C4—792no—
1633C2×C4—792no—
1634C2×C4—6322no—
1635C2×C4—6322no—
1636C2×C4—6322no—
1637C2×C4—6322no—
1638C2×C4—6322no—
1639C2×C4—1588no—
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#1457920712yes—
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—3161no—
1688C22—3161no—
1689C22—3161no—
1690C22—3161no—
1691C22—3161no—
1692C22—3161no—
1693C22—3161no—
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×#1457920711yescharacteristic
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—41no—
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—3162no—
1758C2—6321no—
1759C2—6321no—
1760C2—6321no—
1761C2—1584no—
1762C2#537×D7911yescharacteristic
1763C2#2377703011yescharacteristic
1764C2#2377703911yescharacteristic
1765C2#2377791111yescharacteristic
1766C2#2377791511yescharacteristic
1767C2#2377796811yescharacteristic
1768C2#2377796911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2715C2
hypercenter#2715D79
hypocenterC79#36957
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2715

Complements

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

NH ≅ G/Ntype
1. C2×#19099152C2semidirect
2. C2×#124×D79C2semidirect
3. #23771735C2semidirect
4. #23771733C2semidirect
5. #23770216C2semidirect
6. #23770212C2semidirect
7. #23770207C2semidirect
8. #23770172C2semidirect
9. #23770170C2semidirect
10. #23770169C2semidirect
11. #23770167C2semidirect
12. #23769707C2semidirect
13. #23769704C2semidirect
14. #23769699C2semidirect
15. #23769696C2semidirect
16. #23769658C2semidirect
17. #23769652C2semidirect
18. #23769650C2semidirect
19. #23769644C2semidirect
20. #23769210C2semidirect
21. #23769135C2semidirect
22. #23768294C2semidirect
23. #23768291C2semidirect
24. #23766793C2semidirect
25. #23766789C2semidirect
26. #23766773C2semidirect
27. #23766769C2semidirect
28. #23766763C2semidirect
29. #23766760C2semidirect
30. #23766011C2semidirect
31. C79×#2715C2semidirect
35. C2×#14579156C22semidirect
38. C2×#14579149C22semidirect
44. C2×#14579147C22semidirect
48. C2×#14579146C22semidirect
49. C2×#14579143C22semidirect
50. C2×#14579141C22semidirect
52. C2×#14579139C22semidirect
53. C2×#14579139C22semidirect
54. C2×#14579137C22semidirect
57. C2×#14579136C22semidirect
60. C2×#14579134C22semidirect
75. #19098499C22semidirect
76. #19098498C22semidirect
77. #19098492C22semidirect
78. #19098491C22semidirect
79. #19098489C22semidirect
80. #19098489C22semidirect
81. #19098486C22semidirect
82. #19098486C22semidirect
83. #19098485C22semidirect
84. #19098485C22semidirect
85. #19098485C22semidirect
86. #19098485C22semidirect
87. #19098484C22semidirect
88. #19098484C22semidirect
89. #19098483C22semidirect
91. #19098481C22semidirect
92. #19098481C22semidirect
93. #19098481C22semidirect
94. #19098481C22semidirect
95. #19098480C22semidirect
96. #19098480C22semidirect
98. #19098479C22semidirect
99. #19098479C22semidirect
101. #19098478C22semidirect
102. #19098478C22semidirect
103. #19098478C22semidirect
104. #19098478C22semidirect
105. #19098476C22semidirect
106. #19098476C22semidirect
107. #19098476C22semidirect
108. #19098476C22semidirect
109. #19098475C22semidirect
110. #19098474C22semidirect
112. #19098473C22semidirect
115. #19098472C22semidirect
117. #19098469C22semidirect
118. #19098467C22semidirect
119. #19098467C22semidirect
120. #19098467C22semidirect
121. #19098467C22semidirect
122. #19098465C22semidirect
123. #19098464C22semidirect
124. #19098460C22semidirect
125. #19098459C22semidirect
126. #19098458C22semidirect
127. #19098457C22semidirect
128. #19098454C22semidirect
129. #19098453C22semidirect
130. #19098453C22semidirect
131. #19098453C22semidirect
132. #19098452C22semidirect
133. #19098452C22semidirect
134. #19098448C22semidirect
135. #19098447C22semidirect
136. #19098444C22semidirect
137. #19098442C22semidirect
143. #19098441C22semidirect
144. #19098441C22semidirect
145. #19098441C22semidirect
146. #19098441C22semidirect
148. #19098440C22semidirect
150. #19098439C22semidirect
151. #19098439C22semidirect
152. #19098438C22semidirect
155. #19098437C22semidirect
156. #19098437C22semidirect
157. #19098436C22semidirect
158. #19098435C22semidirect
161. #19098434C22semidirect
162. #19098434C22semidirect
167. #19098422C22semidirect
168. #19098421C22semidirect
171. #19098420C22semidirect
174. C2×#126×C79C22semidirect
176. #397×C79C22semidirect
177. #397×C79C22semidirect
178. #396×C79C22semidirect
179. #396×C79C22semidirect
180. #395×C79C22semidirect
182. #391×C79C22semidirect
183. #389×C79C22semidirect
184. #388×C79C22semidirect
185. #387×C79C22semidirect
187. #385×C79C22semidirect
188. #380×C79C22semidirect
326. C22⋊C4×D79D4semidirect
892. #2715D79semidirect
916. C79#36957semidirect
921. C2×#126C2×D79semidirect
968. #397C2×D79semidirect
969. #397C2×D79semidirect
976. #396C2×D79semidirect
977. #396C2×D79semidirect
981. #395C2×D79semidirect
1015. #391C2×D79semidirect
1021. #389C2×D79semidirect
1029. #388C2×D79semidirect
1033. #387C2×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×#190991522
C2×#124×D792
#237717352
#237717332
#237702162
#237702122
#237702072
#237701722
#237701702
#237701692
#237701672
#237697072
#237697042
#237696992
#237696962
#237696582
#237696522
#237696502
#237696442
#237692102
#237691352
#237682942
#237682912
#237667932
#237667892
#237667732
#237667692
#237667632
#237667602
#237660112
C79×#27152
#3695779