Finite Group Databasebeta

← #34495336

Subgroups — #34495336

Order 20224.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099146C211yesmaximal, characteristic, complemented
2C2×#19099072C211yesmaximal, characteristic, complemented
3#23771693C211yesmaximal, characteristic, complemented
4#23771683C211yesmaximal, characteristic, complemented
5#23770071C211yesmaximal, characteristic, complemented
6#23770026C211yesmaximal, characteristic, complemented
7#23769996C211yesmaximal, characteristic, complemented
8#23769985C211yesmaximal, characteristic, complemented
9#23769819C211yesmaximal, characteristic, complemented
10#23769762C211yesmaximal, characteristic, complemented
11#23769750C211yesmaximal, characteristic, complemented
12#23769747C211yesmaximal, characteristic, complemented
13#23769735C211yesmaximal, characteristic, complemented
14#23769723C211yesmaximal, characteristic, complemented
15#23769720C211yesmaximal, characteristic, complemented
16#23769720C211yesmaximal, characteristic, complemented
17#23769649C211yesmaximal, characteristic, complemented
18#23769624C211yesmaximal, characteristic, complemented
19#23769615C211yesmaximal, characteristic, complemented
20#23769615C211yesmaximal, characteristic, complemented
21#23769287C211yesmaximal, characteristic, complemented
22#23769241C211yesmaximal, characteristic, complemented
23#23769081C211yesmaximal, characteristic, complemented
24#23769027C211yesmaximal, characteristic, complemented
25#23768991C211yesmaximal, characteristic, complemented
26#23768987C211yesmaximal, characteristic, complemented
27#23768371C211yesmaximal, characteristic, complemented
28#23768292C211yesmaximal, characteristic, complemented
29#23766746C211yesmaximal, characteristic, complemented
30#23766721C211yesmaximal, characteristic, complemented
31C79×#2319C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic, complemented
34#19099146—28no—
35C2×#14579158C2211yescharacteristic
36C2×#14579156C2211yescharacteristic, complemented
37C2×#14579155C2211yescharacteristic, complemented
38C2×#14579149C2211yescharacteristic, complemented
39C2×#14579149C2211yescharacteristic, complemented
40C2×#14579147C2211yescharacteristic
41#19099072—28no—
42C2×#14579146C2211yescharacteristic, complemented
43C2×#14579146C2211yescharacteristic, complemented
44C2×#14579145C2211yescharacteristic
45C2×#14579145C2211yescharacteristic
46C2×#14579144C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579141C2211yescharacteristic, complemented
49C2×#14579139C2211yescharacteristic, complemented
50C2×#14579138C2211yescharacteristic, complemented
51C2×#14579138C2211yescharacteristic, complemented
52C2×#14579136C2211yescharacteristic
53C2×#14579136C2211yescharacteristic
54C2×#14579136C2211yescharacteristic, complemented
55C2×#14579135C2211yescharacteristic
56C2×#14579134C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579133C2211yescharacteristic
59C2×#14579133C2211yescharacteristic
60C2×#14579131C2211yescharacteristic
61C2×#14579131C2211yescharacteristic
62C2×#14579131C2211yescharacteristic
63C2×#14579131C2211yescharacteristic
64C2×#14579131C2211yescharacteristic, complemented
65C2×#14579131C2211yescharacteristic, complemented
66C2×#14579131C2211yescharacteristic, complemented
67C2×#14579131C2211yescharacteristic, complemented
68C2×#14579129C2211yescharacteristic
69C2×#14579129C2211yescharacteristic
70C2×C4×D316C2211yescharacteristic, complemented
71C2×C4×C22⋊D79C2211yescharacteristic
72C2×C4×C22⋊D79C2211yescharacteristic, complemented
73C2×C4×C22⋊D79C2211yescharacteristic, complemented
74C2×#14579118C2211yescharacteristic, complemented
75C22×(C2×D79)⋊C4C2211yescharacteristic, complemented
76#19098503C2211yescharacteristic, complemented
77#19098500C2211yescharacteristic, complemented
78#19098495C2211yescharacteristic, complemented
79#19098493C2211yescharacteristic, complemented
80#19098493C2211yescharacteristic, complemented
81#19098490C2211yescharacteristic, complemented
82#19098488C2211yescharacteristic, complemented
83#19098488C2211yescharacteristic, complemented
84#19098485C2211yescharacteristic, complemented
85#19098485C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic, complemented
87#19098485C2211yescharacteristic, complemented
88#19098485C2211yescharacteristic, complemented
89#19098485C2211yescharacteristic, complemented
90#19098484C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic, complemented
92#19098481C2211yescharacteristic, complemented
93#19098481C2211yescharacteristic, complemented
94#19098480C2211yescharacteristic
95#19098480C2211yescharacteristic
96#19098480C2211yescharacteristic
97#19098480C2211yescharacteristic
98#19098480C2211yescharacteristic, complemented
99#19098480C2211yescharacteristic, complemented
100#19098480C2211yescharacteristic, complemented
101#19098480C2211yescharacteristic, complemented
102#19098479C2211yescharacteristic
103#19098479C2211yescharacteristic
104#19098479C2211yescharacteristic
105#19098479C2211yescharacteristic
106#19098479C2211yescharacteristic, complemented
107#19098479C2211yescharacteristic, complemented
108#19098479C2211yescharacteristic, complemented
109#19098479C2211yescharacteristic, complemented
110#19098476C2211yescharacteristic, complemented
111#19098476C2211yescharacteristic, complemented
112#19098476C2211yescharacteristic, complemented
113#19098473C2211yescharacteristic
114#19098473C2211yescharacteristic
115#19098473C2211yescharacteristic
116#19098473C2211yescharacteristic
117#19098473C2211yescharacteristic, complemented
118#19098472C2211yescharacteristic
119#19098472C2211yescharacteristic
120#19098472C2211yescharacteristic
121#19098472C2211yescharacteristic
122#19098472C2211yescharacteristic, complemented
123#19098472C2211yescharacteristic, complemented
124#19098469C2211yescharacteristic, complemented
125#19098468C2211yescharacteristic, complemented
126#19098465C2211yescharacteristic
127#19098465C2211yescharacteristic
128#19098465C2211yescharacteristic
129#19098465C2211yescharacteristic, complemented
130#19098465C2211yescharacteristic, complemented
131#19098465C2211yescharacteristic, complemented
132#19098464C2211yescharacteristic, complemented
133#19098461C2211yescharacteristic, complemented
134#19098455C2211yescharacteristic, complemented
135#19098455C2211yescharacteristic, complemented
136#19098455C2211yescharacteristic, complemented
137#19098455C2211yescharacteristic, complemented
138#19098454C2211yescharacteristic, complemented
139#19098454C2211yescharacteristic, complemented
140#19098454C2211yescharacteristic, complemented
141#19098454C2211yescharacteristic, complemented
142#19098454C2211yescharacteristic, complemented
143#19098454C2211yescharacteristic, complemented
144#19098448C2211yescharacteristic, complemented
145#19098448C2211yescharacteristic, complemented
146#19098441C2211yescharacteristic
147#19098441C2211yescharacteristic
148#19098441C2211yescharacteristic
149#19098441C2211yescharacteristic
150#19098441C2211yescharacteristic
151#19098441C2211yescharacteristic
152#19098441C2211yescharacteristic, complemented
153#19098441C2211yescharacteristic, complemented
154#19098441C2211yescharacteristic, complemented
155#19098441C2211yescharacteristic, complemented
156#19098441C2211yescharacteristic, complemented
157#19098441C2211yescharacteristic, complemented
158#19098440C2211yescharacteristic
159#19098440C2211yescharacteristic
160#19098440C2211yescharacteristic, complemented
161#19098440C2211yescharacteristic, complemented
162#19098437C2211yescharacteristic, complemented
163#19098437C2211yescharacteristic, complemented
164#19098437C2211yescharacteristic, complemented
165#19098437C2211yescharacteristic, complemented
166#19098437C2211yescharacteristic, complemented
167#19098437C2211yescharacteristic, complemented
168#19098424C2211yescharacteristic, complemented
169#19098424C2211yescharacteristic, complemented
170#19098420C2211yescharacteristic, complemented
171#19098420C2211yescharacteristic, complemented
172#19098418C2211yescharacteristic, complemented
173#19098418C2211yescharacteristic, complemented
174C2×C4×D4×C79C2211yescharacteristic
175#390×C79C2211yescharacteristic
176#390×C79C2211yescharacteristic
177#389×C79C2211yescharacteristic, complemented
178#389×C79C2211yescharacteristic, complemented
179#388×C79C2211yescharacteristic, complemented
180#388×C79C2211yescharacteristic, complemented
181#388×C79C2211yescharacteristic, complemented
182#388×C79C2211yescharacteristic, complemented
183#381×C79C2211yescharacteristic, complemented
184#381×C79C2211yescharacteristic, complemented
185#380×C79C2211yescharacteristic, complemented
186#380×C79C2211yescharacteristic, complemented
187C4×C4⋊C4×C79C2211yescharacteristic, complemented
188#376×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C24×D79C2311yescharacteristic
191C2×#11929624—24no—
192C2×#11929624—42no—
193C2×#11929624—42no—
194C22×Dic158C2311yescharacteristic
195C22×Dic158C2311yescharacteristic
196C22×D316C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×D316C2311yescharacteristic
200C22×D316C2311yescharacteristic
201C22×D316C2311yescharacteristic
202C22×D316C2311yescharacteristic
203C22×D316C2311yescharacteristic
204C22×D316C2311yescharacteristic
205C22×D316C2311yescharacteristic
206C22×D316C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×D316C2311yescharacteristic
209C22×C22⋊D79C2311yescharacteristic
210C22×C22⋊D79C2311yescharacteristic
211C22×C22⋊D79C2311yescharacteristic
212C22×C22⋊D79C2311yescharacteristic
213C22×C22⋊D79C2311yescharacteristic
214C22×C22⋊D79C2311yescharacteristic
215C22×C22⋊D79C2311yescharacteristic
216C22×C22⋊D79C2311yescharacteristic
217C23×Dic79C2311yescharacteristic
218C23×Dic79C2311yescharacteristic
219C22×C4×D79—24no—
220C22×C4×D79—42no—
221C22×C4×D79—42no—
222C22×C4×D79C2311yescharacteristic
223C22×C4×D79C2311yescharacteristic
224C22×C4×D79C2311yescharacteristic
225C22×C4×D79C2311yescharacteristic
226C22×C4×D79C2311yescharacteristic
227C22×C4×D79C2311yescharacteristic
228#14579158—42no—
229#14579156—24no—
230#14579155—24no—
231#14579149—24no—
232#14579149—42no—
233#14579147—24no—
234#14579146—24no—
235#14579146—24no—
236#14579145—42no—
237#14579145—42no—
238#14579144—24no—
239#14579143—24no—
240#14579141—42no—
241#14579139—24no—
242#14579138—24no—
243#14579138—24no—
244#14579136—42no—
245#14579136—42no—
246#14579136—42no—
247#14579135—24no—
248#14579134—24no—
249#14579134—24no—
250#14579133—24no—
251#14579133—24no—
252#14579131—24no—
253#14579131—24no—
254#14579131—42no—
255#14579131—42no—
256#14579131—42no—
257#14579131—42no—
258#14579131—42no—
259#14579131—42no—
260#14579129—24no—
261#14579129—24no—
262C4×D316—24no—
263C4×C22⋊D79—24no—
264C4×C22⋊D79—24no—
265C4×C22⋊D79—24no—
266#14579118—24no—
267C2×C4⋊Dic79C2311yescharacteristic
268C2×C4⋊Dic79C2311yescharacteristic
269C2×C4⋊Dic79C2311yescharacteristic
270C2×C4⋊Dic79C2311yescharacteristic
271C2×C4⋊Dic79C2311yescharacteristic
272C2×C4⋊Dic79C2311yescharacteristic
273C2×C4⋊Dic79C2311yescharacteristic
274C2×C4⋊Dic79C2311yescharacteristic
275C2×C4⋊Dic79C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×Dic79⋊C4C2311yescharacteristic
278C2×Dic79⋊C4C2311yescharacteristic
279C2×Dic79⋊C4C2311yescharacteristic
280C2×Dic79⋊C4C2311yescharacteristic
281C2×Dic79⋊C4C2311yescharacteristic
282C2×Dic79⋊C4C2311yescharacteristic
283C2×Dic79⋊C4C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×(C2×D79)⋊C4—24no—
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
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×C4×Dic79C2311yescharacteristic
336C2×C4×Dic79C2311yescharacteristic
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
354C79⋊#95C2311yescharacteristic
355C22×D4×C79C2311yescharacteristic
356C23×C4×C79C2311yescharacteristic
357C23×C4×C79C2311yescharacteristic
358C4×D4×C79D418yescomplemented
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×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C22⋊C4×C79C2311yescharacteristic
374C2×C22⋊C4×C79C2311yescharacteristic
375C2×C22⋊C4×C79C2311yescharacteristic
376C2×C42×C79C2311yescharacteristic
377C2×C42×C79C2311yescharacteristic
378C2×C42×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—41no—
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×D79—41no—
405C23×D79C2411yescharacteristic
406C23×D79C2411yescharacteristic
407C23×D79C2411yescharacteristic
408C23×D79C2411yescharacteristic
409C23×D79C2411yescharacteristic
410C23×D79C2411yescharacteristic
411#11929624—416no—
412C2×Dic158—22no—
413C2×Dic158—22no—
414C2×Dic158—22no—
415C2×Dic158—41no—
416C2×Dic158—41no—
417C2×Dic158—41no—
418C2×D316—22no—
419C2×D316—22no—
420C2×D316—22no—
421C2×D316—22no—
422C2×D316—22no—
423C2×D316—22no—
424C2×D316—22no—
425C2×D316—22no—
426C2×D316—22no—
427C2×D316—22no—
428C2×D316—22no—
429C2×D316—22no—
430C2×D316—41no—
431C2×D316—41no—
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×D316—41no—
448C2×D316—41no—
449C2×D316—41no—
450C2×D316—41no—
451C2×D316—41no—
452C2×D316—41no—
453C2×D316—41no—
454C2×D316—41no—
455C2×D316—41no—
456C2×D316—41no—
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—22no—
466C2×C22⋊D79—22no—
467C2×C22⋊D79—22no—
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—
481C22×Dic79—22no—
482C22×Dic79—22no—
483C22×Dic79—22no—
484C22×Dic79—41no—
485C22×Dic79—41no—
486C22×Dic79—41no—
487C22×Dic79C2411yescharacteristic
488C22×Dic79C2411yescharacteristic
489C22×Dic79C2411yescharacteristic
490C22×Dic79C2411yescharacteristic
491C22×Dic79C2411yescharacteristic
492C22×Dic79C2411yescharacteristic
493C22×Dic79C2411yescharacteristic
494C22×Dic79C2411yescharacteristic
495C22×Dic79C2411yescharacteristic
496C22×Dic79C2411yescharacteristic
497C2×C4×D79—22no—
498C2×C4×D79—22no—
499C2×C4×D79—22no—
500C2×C4×D79—22no—
501C2×C4×D79—22no—
502C2×C4×D79—22no—
503C2×C4×D79—22no—
504C2×C4×D79—22no—
505C2×C4×D79—22no—
506C2×C4×D79—22no—
507C2×C4×D79—41no—
508C2×C4×D79—41no—
509C2×C4×D79—41no—
510C2×C4×D79—41no—
511C2×C4×D79—41no—
512C2×C4×D79—41no—
513C2×C4×D79—41no—
514C2×C4×D79—41no—
515C2×C4×D79—416no—
516C4⋊Dic79—22no—
517C4⋊Dic79—22no—
518C4⋊Dic79—22no—
519C4⋊Dic79—41no—
520C4⋊Dic79—41no—
521C4⋊Dic79—41no—
522C4⋊Dic79—41no—
523C4⋊Dic79—41no—
524C4⋊Dic79—41no—
525Dic79⋊C4—22no—
526Dic79⋊C4—22no—
527Dic79⋊C4—22no—
528Dic79⋊C4—22no—
529Dic79⋊C4—22no—
530Dic79⋊C4—22no—
531Dic79⋊C4—22no—
532Dic79⋊C4—22no—
533C22⋊Dic79—22no—
534C22⋊Dic79—22no—
535C22⋊Dic79—22no—
536C22⋊Dic79—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—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—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)⋊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—
583C4×Dic79—22no—
584C4×Dic79—22no—
585C24×C79C2411yescharacteristic
586C24×C79C2411yescharacteristic
587C2×D4×C79—41no—
588C2×D4×C79—41no—
589C2×D4×C79C2×D414yes—
590C22×C4×C79—41no—
591C22×C4×C79—41no—
592C22×C4×C79—41no—
593C22×C4×C79—41no—
594C22×C4×C79C2×D414yes—
595C22×C4×C79C2×D414yes—
596C22×C4×C79C2411yescharacteristic
597C22×C4×C79C2411yescharacteristic
598C22×C4×C79C2411yescharacteristic
599C22×C4×C79C2411yescharacteristic
600C22×C4×C79C2411yescharacteristic
601C22×C4×C79C2411yescharacteristic
602C22×C4×C79C2411yescharacteristic
603C22×C4×C79C2411yescharacteristic
604C22×C4×C79C2411yescharacteristic
605C22×C4×C79C2411yescharacteristic
606C22×C4×C79C2411yescharacteristic
607C22×C4×C79C2411yescharacteristic
608C22×C4×C79C2411yescharacteristic
609C4⋊C4×C79—41no—
610C4⋊C4×C79—41no—
611C4⋊C4×C79—41no—
612C4⋊C4×C79—41no—
613C4⋊C4×C79—41no—
614C4⋊C4×C79—41no—
615C4⋊C4×C79C2×D414yes—
616C22⋊C4×C79—41no—
617C22⋊C4×C79—41no—
618C22⋊C4×C79—41no—
619C22⋊C4×C79—41no—
620C22⋊C4×C79—41no—
621C22⋊C4×C79—41no—
622C22⋊C4×C79—41no—
623C22⋊C4×C79—41no—
624C22⋊C4×C79C2×D414yes—
625C22⋊C4×C79C2×D414yes—
626C42×C79—41no—
627C42×C79—41no—
628C42×C79—41no—
629C42×C79—41no—
630C42×C79C2×D414yes—
631C23×C79—21no—
632C23×C79—21no—
633C23×C79—21no—
634C23×C79—21no—
635C23×C79—21no—
636C23×C79—21no—
637C23×C79—21no—
638C23×C79—21no—
639C23×C79—21no—
640C23×C79—21no—
641C23×C79—21no—
642C23×C79—21no—
643C23×C79C22×D412yes—
644C23×C79C22×D412yes—
645C23×C79C2511yescharacteristic
646C22×D79—21no—
647C22×D79—21no—
648C22×D79—21no—
649C22×D79—21no—
650C22×D79—21no—
651C22×D79—21no—
652C22×D79—21no—
653C22×D79—21no—
654C22×D79—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—21no—
669C22×D79—21no—
670C22×D79—21no—
671C22×D79—21no—
672C22×D79—21no—
673C22×D79—21no—
674C22×D79—21no—
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—21no—
678C22×D79—21no—
679C22×D79—21no—
680C22×D79—21no—
681C22×D79—21no—
682C22×D79—21no—
683C22×D79—21no—
684C22×D79—21no—
685C22×D79—21no—
686C22×D79—44no—
687C22×D79—44no—
688C22×D79—44no—
689C22×D79—44no—
690C22×D79—44no—
691C22×D79—44no—
692C22×D79—44no—
693C22×D79—44no—
694C22×D79—82no—
695C22×D79—82no—
696C22×D79—82no—
697C22×D79—82no—
698C22×D79—82no—
699C22×D79—82no—
700C22×D79H(5,𝔽2)12yes—
701C22×D79H(5,𝔽2)12yes—
702D4×C79—44no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—21no—
711C2×C4×C79—21no—
712C2×C4×C79—21no—
713C2×C4×C79—21no—
714C2×C4×C79—21no—
715C2×C4×C79—21no—
716C2×C4×C79—21no—
717C2×C4×C79—21no—
718C2×C4×C79—21no—
719C2×C4×C79—21no—
720C2×C4×C79—21no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—21no—
730C2×C4×C79—21no—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—44no—
738C2×C4×C79—44no—
739C2×C4×C79C22×D412yes—
740C2×C4×C79C22×D412yes—
741C2×C4×C79C22×D412yes—
742C2×C4×C79C22×D412yes—
743C2×C4×C79C22×D412yes—
744C22⋊D79—44no—
745C22⋊D79—44no—
746C22⋊D79—44no—
747C22⋊D79—44no—
748C22⋊D79—44no—
749C22⋊D79—82no—
750C22⋊D79—82no—
751C22⋊D79—82no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—21no—
755C2×Dic79—21no—
756C2×Dic79—21no—
757C2×Dic79—21no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—21no—
780C2×Dic79—21no—
781C2×Dic79—44no—
782C2×Dic79—82no—
783C2×Dic79H(5,𝔽2)12yes—
784D316—44no—
785D316—44no—
786D316—82no—
787D316—82no—
788D316—82no—
789D316—82no—
790D316—82no—
791D316—82no—
792D316—82no—
793D316—82no—
794D316—82no—
795D316—82no—
796D316—82no—
797C4×D79—28no—
798C4×D79—44no—
799C4×D79—44no—
800C4×D79—44no—
801C4×D79—44no—
802C4×D79—82no—
803Dic158—44no—
804Dic158—82no—
805C22×C79—22no—
806C22×C79—22no—
807C22×C79—22no—
808C22×C79—22no—
809C22×C79—22no—
810C22×C79—22no—
811C22×C79—41no—
812C22×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79—41no—
816C22×C79—41no—
817C22×C79—41no—
818C22×C79—41no—
819C22×C79C23×D411yescharacteristic
820C22×C79C2×H(5,𝔽2)11yescharacteristic
821C22×C79C2×H(5,𝔽2)11yescharacteristic
822C22×C79C2×H(5,𝔽2)11yescharacteristic
823C22×C79#58511yescharacteristic
824C22×C79#58511yescharacteristic
825C22×C79#58511yescharacteristic
826C2×D79—22no—
827C2×D79—22no—
828C2×D79—22no—
829C2×D79—22no—
830C2×D79—22no—
831C2×D79—22no—
832C2×D79—416no—
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—41no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—41no—
851C2×D79—41no—
852C2×D79—41no—
853C2×D79—41no—
854C2×D79—41no—
855C2×D79—41no—
856C2×D79—41no—
857C2×D79—41no—
858C2×D79—41no—
859C2×D79—41no—
860C2×D79—41no—
861C2×D79—41no—
862C2×D79—41no—
863C2×D79—41no—
864C2×D79—41no—
865C2×D79—41no—
866C2×D79—41no—
867C2×D79—41no—
868C2×D79—41no—
869C2×D79—88no—
870C4×C79—22no—
871C4×C79—22no—
872C4×C79—22no—
873C4×C79—22no—
874C4×C79—22no—
875C4×C79—41no—
876C4×C79—41no—
877C4×C79—41no—
878C4×C79—41no—
879C4×C79—41no—
880C4×C79—41no—
881C4×C79—41no—
882C4×C79—41no—
883Dic79—22no—
884Dic79—41no—
885Dic79—41no—
886Dic79—41no—
887Dic79—41no—
888Dic79—41no—
889Dic79—41no—
890Dic79—41no—
891Dic79—41no—
892Dic79—41no—
893#36724—791nomaximal, Sylow
894C2×C79—42no—
895C2×C79—42no—
896C2×C79#344911yescharacteristic
897C2×C79#348411yescharacteristic
898C2×C79#348811yescharacteristic
899C2×C79#353311yescharacteristic
900C2×C79#353411yescharacteristic
901C2×C79#354011yescharacteristic
902C2×C79#354211yescharacteristic
903D79—42no—
904D79—42no—
905D79—81no—
906D79—81no—
907D79—81no—
908D79—81no—
909C2×#538—791no—
910C2×#525—791no—
911#2849—791no—
912#2847—791no—
913#2705—791no—
914#2702—791no—
915#2700—791no—
916#2699—791no—
917#2687—791no—
918#2682—791no—
919#2681—791no—
920#2681—791no—
921#2679—791no—
922#2678—791no—
923#2678—791no—
924#2678—791no—
925#2672—791no—
926#2670—791no—
927#2669—791no—
928#2669—791no—
929#2635—791no—
930#2630—791no—
931#2610—791no—
932#2603—791no—
933#2601—791no—
934#2600—791no—
935#2544—791no—
936#2534—791no—
937#2407—791no—
938#2404—791no—
939#2319D7911yescharacteristic, complemented
940C79#3672411yescharacteristic, complemented, Sylow
941C22×#41—791no—
942C24×C4—791no—
943#538—1588no—
944C2×#127—791no—
945C2×#126—791no—
946C2×#126—791no—
947C2×#124—791no—
948C2×#124—791no—
949C2×#124—791no—
950#525—1588no—
951C2×#123—791no—
952C2×#123—791no—
953C2×#123—791no—
954C2×#123—791no—
955C2×#123—791no—
956C2×#123—791no—
957C2×C22⋊Q8—791no—
958C2×C22⋊Q8—791no—
959C2×C22⋊Q8—791no—
960C2×C22⋊Q8—791no—
961C2×#121—791no—
962C2×#121—791no—
963C2×#121—791no—
964C2×#121—791no—
965C2×#121—791no—
966C2×#121—791no—
967C2×#121—791no—
968C2×#121—791no—
969C2×#120—791no—
970C2×#120—791no—
971C2×#120—791no—
972C2×#120—791no—
973C2×#120—791no—
974C2×#120—791no—
975C2×#120—791no—
976C2×#120—791no—
977C2×#120—791no—
978C2×#120—791no—
979C2×C4×D4—791no—
980C2×C4×D4—791no—
981C2×C4×D4—791no—
982C2×C4×D4—791no—
983C2×C4×D4C2×D7911yescharacteristic
984C2×#117—791no—
985C22×C22⋊C4—791no—
986#400—791no—
987#399—791no—
988#398—791no—
989#398—791no—
990#398—791no—
991#397—791no—
992#397—791no—
993#397—791no—
994#396—791no—
995#396—791no—
996#396—791no—
997#396—791no—
998#396—791no—
999#396—791no—
1000#395—791no—
1001#394—791no—
1002#394—791no—
1003#394—791no—
1004#394—791no—
1005#394—791no—
1006#394—791no—
1007#394—791no—
1008#394—791no—
1009#394—791no—
1010#394—791no—
1011#394—791no—
1012#394—791no—
1013#394—791no—
1014#394—791no—
1015#394—791no—
1016#394—791no—
1017#394—791no—
1018#394—791no—
1019#394—791no—
1020#393—791no—
1021#393—791no—
1022#393—791no—
1023#392—791no—
1024#392—791no—
1025#392—791no—
1026#392—791no—
1027#392—791no—
1028#392—791no—
1029#392—791no—
1030#392—791no—
1031#392—791no—
1032#392—791no—
1033#392—791no—
1034#391—791no—
1035#391—791no—
1036#390—791no—
1037#390—791no—
1038#390—791no—
1039#390—791no—
1040#390—791no—
1041#390—791no—
1042#390—791no—
1043#390C2×D7911yescharacteristic
1044#390C2×D7911yescharacteristic
1045#389—791no—
1046#389C2×D7911yescharacteristic, complemented
1047#389C2×D7911yescharacteristic, complemented
1048#388—791no—
1049#388—791no—
1050#388—791no—
1051#388—791no—
1052#388—791no—
1053#388—791no—
1054#388—791no—
1055#388—791no—
1056#388—791no—
1057#388—791no—
1058#388C2×D7911yescharacteristic, complemented
1059#388C2×D7911yescharacteristic, complemented
1060#388C2×D7911yescharacteristic, complemented
1061#388C2×D7911yescharacteristic, complemented
1062#387—791no—
1063#387—791no—
1064#386—791no—
1065#386—791no—
1066#386—791no—
1067#386—791no—
1068#386—791no—
1069#386—791no—
1070#386—791no—
1071#386—791no—
1072#386—791no—
1073#386—791no—
1074#386—791no—
1075#386—791no—
1076#386—791no—
1077#386—791no—
1078#386—791no—
1079#386—791no—
1080#385—791no—
1081#385—791no—
1082#385—791no—
1083#385—791no—
1084#385—791no—
1085#385—791no—
1086#381—791no—
1087#381—791no—
1088#381C2×D7911yescharacteristic, complemented
1089#381C2×D7911yescharacteristic, complemented
1090#380—791no—
1091#380—791no—
1092#380C2×D7911yescharacteristic, complemented
1093#380C2×D7911yescharacteristic, complemented
1094#379—791no—
1095#379—791no—
1096C4×C4⋊C4C2×D7911yescharacteristic, complemented
1097#376C2×D7911yescharacteristic, complemented
1098C25—791no—
1099C25—791no—
1100C2×#41—3162no—
1101C2×#41—3162no—
1102C2×#41—1584no—
1103C22×Q8—791no—
1104C22×Q8—791no—
1105C22×D4—791no—
1106C22×D4—791no—
1107C22×D4—791no—
1108C22×D4—791no—
1109C22×D4—791no—
1110C22×D4—791no—
1111C22×D4—791no—
1112C22×D4—791no—
1113C22×D4—791no—
1114C22×D4—791no—
1115C22×D4—791no—
1116C22×D4—791no—
1117C22×D4—791no—
1118C22×D4—791no—
1119C22×D4—791no—
1120C22×D4—791no—
1121C22×D4—791no—
1122C22×D4—791no—
1123C22×D4—791no—
1124C22×D4—791no—
1125C22×D4—791no—
1126C22×D4C22×D7911yescharacteristic
1127C23×C4—3162no—
1128C23×C4—3162no—
1129C23×C4—791no—
1130C23×C4—791no—
1131C23×C4—791no—
1132C23×C4—791no—
1133C23×C4—791no—
1134C23×C4—791no—
1135C23×C4—791no—
1136C23×C4—791no—
1137C23×C4—1584no—
1138C23×C4C22×D7911yescharacteristic
1139C23×C4C22×D7911yescharacteristic
1140#127—3162no—
1141#126—1584no—
1142#126—1584no—
1143#124—3162no—
1144#124—1584no—
1145#124—1584no—
1146#123—3162no—
1147#123—3162no—
1148#123—1584no—
1149#123—1584no—
1150#123—1584no—
1151#123—1584no—
1152C22⋊Q8—3162no—
1153C22⋊Q8—1584no—
1154C22⋊Q8—1584no—
1155C22⋊Q8—1584no—
1156#121—3162no—
1157#121—3162no—
1158#121—3162no—
1159#121—1584no—
1160#121—1584no—
1161#121—1584no—
1162#121—1584no—
1163#121—1584no—
1164#120—3162no—
1165#120—3162no—
1166#120—3162no—
1167#120—3162no—
1168#120—3162no—
1169#120—3162no—
1170#120—1584no—
1171#120—1584no—
1172#120—1584no—
1173#120—1584no—
1174C4×D4—1584no—
1175C4×D4—1584no—
1176C4×D4—1584no—
1177C4×D4—1584no—
1178C4×D4D31618yescomplemented
1179#117—1584no—
1180C2×C4⋊C4—791no—
1181C2×C4⋊C4—791no—
1182C2×C4⋊C4—791no—
1183C2×C4⋊C4—791no—
1184C2×C4⋊C4—791no—
1185C2×C4⋊C4—791no—
1186C2×C4⋊C4—791no—
1187C2×C4⋊C4—791no—
1188C2×C4⋊C4—791no—
1189C2×C4⋊C4—791no—
1190C2×C4⋊C4—791no—
1191C2×C4⋊C4—791no—
1192C2×C4⋊C4—791no—
1193C2×C4⋊C4—791no—
1194C2×C4⋊C4—791no—
1195C2×C4⋊C4—791no—
1196C2×C4⋊C4—791no—
1197C2×C4⋊C4C22×D7911yescharacteristic
1198C2×C4⋊C4C22×D7911yescharacteristic
1199C2×C4⋊C4C22×D7911yescharacteristic
1200C2×C4⋊C4C22×D7911yescharacteristic
1201C2×C4⋊C4C22×D7911yescharacteristic
1202C2×C4⋊C4C22×D7911yescharacteristic
1203C2×C4⋊C4C22×D7911yescharacteristic
1204C2×C22⋊C4—791no—
1205C2×C22⋊C4—791no—
1206C2×C22⋊C4—791no—
1207C2×C22⋊C4—791no—
1208C2×C22⋊C4—791no—
1209C2×C22⋊C4—791no—
1210C2×C22⋊C4—791no—
1211C2×C22⋊C4—791no—
1212C2×C22⋊C4—791no—
1213C2×C22⋊C4—791no—
1214C2×C22⋊C4—791no—
1215C2×C22⋊C4—791no—
1216C2×C22⋊C4—791no—
1217C2×C22⋊C4—791no—
1218C2×C22⋊C4—791no—
1219C2×C22⋊C4—791no—
1220C2×C22⋊C4—791no—
1221C2×C22⋊C4—791no—
1222C2×C22⋊C4—791no—
1223C2×C22⋊C4—791no—
1224C2×C22⋊C4—791no—
1225C2×C22⋊C4—791no—
1226C2×C22⋊C4—791no—
1227C2×C22⋊C4—791no—
1228C2×C22⋊C4—791no—
1229C2×C22⋊C4—791no—
1230C2×C22⋊C4—791no—
1231C2×C22⋊C4—791no—
1232C2×C22⋊C4—791no—
1233C2×C22⋊C4—791no—
1234C2×C22⋊C4—791no—
1235C2×C22⋊C4—791no—
1236C2×C22⋊C4—791no—
1237C2×C22⋊C4—791no—
1238C2×C22⋊C4—791no—
1239C2×C22⋊C4—791no—
1240C2×C22⋊C4—791no—
1241C2×C22⋊C4—791no—
1242C2×C22⋊C4—791no—
1243C2×C22⋊C4—791no—
1244C2×C22⋊C4—791no—
1245C2×C22⋊C4—791no—
1246C2×C22⋊C4—791no—
1247C2×C22⋊C4—791no—
1248C2×C22⋊C4—791no—
1249C2×C22⋊C4—791no—
1250C2×C22⋊C4—791no—
1251C2×C22⋊C4—791no—
1252C2×C22⋊C4—791no—
1253C2×C22⋊C4—791no—
1254C2×C22⋊C4—1584no—
1255C2×C22⋊C4C22×D7911yescharacteristic
1256C2×C22⋊C4C22×D7911yescharacteristic
1257C2×C22⋊C4C22×D7911yescharacteristic
1258C2×C22⋊C4C22×D7911yescharacteristic
1259C2×C22⋊C4C22×D7911yescharacteristic
1260C2×C22⋊C4C22×D7911yescharacteristic
1261C2×C22⋊C4C22×D7911yescharacteristic
1262C2×C22⋊C4C22×D7911yescharacteristic
1263C2×C22⋊C4C22×D7911yescharacteristic
1264C2×C22⋊C4C22×D7911yescharacteristic
1265C2×C42—791no—
1266C2×C42—791no—
1267C2×C42C22×D7911yescharacteristic
1268C2×C42C22×D7911yescharacteristic
1269C2×C42C22×D7911yescharacteristic
1270C2×C42C22×D7911yescharacteristic
1271C2×C42C22×D7911yescharacteristic
1272#95—791no—
1273#95—791no—
1274#95—791no—
1275#95—791no—
1276#95—791no—
1277#95—791no—
1278#95—791no—
1279#95—791no—
1280#95—791no—
1281#95—791no—
1282#95—791no—
1283#95—791no—
1284#95—791no—
1285#95—791no—
1286#95—791no—
1287#95—791no—
1288#95—791no—
1289#95—791no—
1290#95C22×D7911yescharacteristic
1291#95C22×D7911yescharacteristic
1292#95C22×D7911yescharacteristic
1293#95C22×D7911yescharacteristic
1294#95C22×D7911yescharacteristic
1295#95C22×D7911yescharacteristic
1296#95C22×D7911yescharacteristic
1297#95C22×D7911yescharacteristic
1298#95C22×D7911yescharacteristic
1299#95C22×D7911yescharacteristic
1300C24—3161no—
1301C24—3161no—
1302C24—3161no—
1303C24—3161no—
1304C24—3161no—
1305C24—3161no—
1306C24—3161no—
1307C24—3161no—
1308C24—3161no—
1309C24—3161no—
1310C24—791no—
1311C24—791no—
1312C24—791no—
1313C24—791no—
1314C24—791no—
1315C24—791no—
1316C24—1582no—
1317C24—1582no—
1318C24—1582no—
1319C24—1582no—
1320C24C23×D7911yescharacteristic
1321C24C23×D7911yescharacteristic
1322#41—31616no—
1323C2×Q8—3161no—
1324C2×Q8—3161no—
1325C2×Q8—3161no—
1326C2×Q8—1582no—
1327C2×Q8—1582no—
1328C2×Q8—1582no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—3161no—
1332C2×D4—3161no—
1333C2×D4—3161no—
1334C2×D4—3161no—
1335C2×D4—3161no—
1336C2×D4—3161no—
1337C2×D4—3161no—
1338C2×D4—3161no—
1339C2×D4—3161no—
1340C2×D4—3161no—
1341C2×D4—3161no—
1342C2×D4—3161no—
1343C2×D4—3161no—
1344C2×D4—3161no—
1345C2×D4—3161no—
1346C2×D4—3161no—
1347C2×D4—3161no—
1348C2×D4—3161no—
1349C2×D4—3161no—
1350C2×D4—3161no—
1351C2×D4—3161no—
1352C2×D4—3161no—
1353C2×D4—3161no—
1354C2×D4—3161no—
1355C2×D4—3161no—
1356C2×D4—3161no—
1357C2×D4—3161no—
1358C2×D4—3161no—
1359C2×D4—3161no—
1360C2×D4—3161no—
1361C2×D4—3161no—
1362C2×D4—3161no—
1363C2×D4—3161no—
1364C2×D4—3161no—
1365C2×D4—3161no—
1366C2×D4—3161no—
1367C2×D4—3161no—
1368C2×D4—3161no—
1369C2×D4—3161no—
1370C2×D4—3161no—
1371C2×D4—1582no—
1372C2×D4—1582no—
1373C2×D4—1582no—
1374C2×D4—1582no—
1375C2×D4—1582no—
1376C2×D4—1582no—
1377C2×D4—1582no—
1378C2×D4—1582no—
1379C2×D4—1582no—
1380C2×D4—1582no—
1381C2×D4—1582no—
1382C2×D4—1582no—
1383C2×D4—1582no—
1384C2×D4—1582no—
1385C2×D4—1582no—
1386C2×D4—1582no—
1387C2×D4—1582no—
1388C2×D4—1582no—
1389C2×D4—1582no—
1390C2×D4—1582no—
1391C2×D4—1582no—
1392C2×D4—1582no—
1393C2×D4—1582no—
1394C2×D4C2×D31614yes—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—3161no—
1400C22×C4—3161no—
1401C22×C4—3161no—
1402C22×C4—3161no—
1403C22×C4—3161no—
1404C22×C4—3161no—
1405C22×C4—3161no—
1406C22×C4—3161no—
1407C22×C4—31616no—
1408C22×C4—3161no—
1409C22×C4—3161no—
1410C22×C4—3161no—
1411C22×C4—791no—
1412C22×C4—791no—
1413C22×C4—791no—
1414C22×C4—791no—
1415C22×C4—791no—
1416C22×C4—791no—
1417C22×C4—791no—
1418C22×C4—791no—
1419C22×C4—791no—
1420C22×C4—791no—
1421C22×C4—1582no—
1422C22×C4—1582no—
1423C22×C4—1582no—
1424C22×C4—1582no—
1425C22×C4—1582no—
1426C22×C4—1582no—
1427C22×C4—1582no—
1428C22×C4—1582no—
1429C22×C4—1582no—
1430C22×C4—1582no—
1431C22×C4—1582no—
1432C22×C4—1582no—
1433C22×C4—1582no—
1434C22×C4C2×D31614yes—
1435C22×C4C2×D31614yes—
1436C22×C4C23×D7911yescharacteristic
1437C22×C4C23×D7911yescharacteristic
1438C22×C4C23×D7911yescharacteristic
1439C22×C4C23×D7911yescharacteristic
1440C22×C4C23×D7911yescharacteristic
1441C22×C4C23×D7911yescharacteristic
1442C22×C4C23×D7911yescharacteristic
1443C22×C4C23×D7911yescharacteristic
1444C22×C4C23×D7911yescharacteristic
1445C22×C4C23×D7911yescharacteristic
1446C22×C4C23×D7911yescharacteristic
1447C22×C4C23×D7911yescharacteristic
1448C22×C4C23×D7911yescharacteristic
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—3161no—
1456C4⋊C4—3161no—
1457C4⋊C4—3161no—
1458C4⋊C4—3161no—
1459C4⋊C4—3161no—
1460C4⋊C4—3161no—
1461C4⋊C4—1582no—
1462C4⋊C4—1582no—
1463C4⋊C4—1582no—
1464C4⋊C4—1582no—
1465C4⋊C4—1582no—
1466C4⋊C4—1582no—
1467C4⋊C4—1582no—
1468C4⋊C4—1582no—
1469C4⋊C4—1582no—
1470C4⋊C4—1582no—
1471C4⋊C4—1582no—
1472C4⋊C4C2×D31614yes—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—3161no—
1482C22⋊C4—3161no—
1483C22⋊C4—3161no—
1484C22⋊C4—3161no—
1485C22⋊C4—3161no—
1486C22⋊C4—3161no—
1487C22⋊C4—3161no—
1488C22⋊C4—3161no—
1489C22⋊C4—3161no—
1490C22⋊C4—3161no—
1491C22⋊C4—3161no—
1492C22⋊C4—3161no—
1493C22⋊C4—3161no—
1494C22⋊C4—3161no—
1495C22⋊C4—3161no—
1496C22⋊C4—3161no—
1497C22⋊C4—3161no—
1498C22⋊C4—3161no—
1499C22⋊C4—3161no—
1500C22⋊C4—3161no—
1501C22⋊C4—3161no—
1502C22⋊C4—3161no—
1503C22⋊C4—3161no—
1504C22⋊C4—1582no—
1505C22⋊C4—1582no—
1506C22⋊C4—1582no—
1507C22⋊C4—1582no—
1508C22⋊C4—1582no—
1509C22⋊C4—1582no—
1510C22⋊C4—1582no—
1511C22⋊C4—1582no—
1512C22⋊C4—1582no—
1513C22⋊C4—1582no—
1514C22⋊C4—1582no—
1515C22⋊C4—1582no—
1516C22⋊C4—1582no—
1517C22⋊C4—1582no—
1518C22⋊C4—1582no—
1519C22⋊C4—1582no—
1520C22⋊C4—1582no—
1521C22⋊C4—1582no—
1522C22⋊C4—1582no—
1523C22⋊C4—1582no—
1524C22⋊C4—1582no—
1525C22⋊C4—1582no—
1526C22⋊C4—1582no—
1527C22⋊C4—1582no—
1528C22⋊C4—1582no—
1529C22⋊C4—1582no—
1530C22⋊C4—1582no—
1531C22⋊C4C2×D31614yes—
1532C22⋊C4C2×D31614yes—
1533C42—41no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—1582no—
1538C42—1582no—
1539C42C2×D31614yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—3164no—
1553C23—3164no—
1554C23—3164no—
1555C23—3164no—
1556C23—3164no—
1557C23—3164no—
1558C23—3164no—
1559C23—3164no—
1560C23—792no—
1561C23—792no—
1562C23—6322no—
1563C23—6322no—
1564C23—6322no—
1565C23—6322no—
1566C23—6322no—
1567C23—6322no—
1568C23—1581no—
1569C23—1581no—
1570C23—1581no—
1571C23—1581no—
1572C23—1581no—
1573C23—1581no—
1574C23—1581no—
1575C23—1581no—
1576C23—1581no—
1577C23—1581no—
1578C23—1581no—
1579C23—1581no—
1580C23—1581no—
1581C23—1581no—
1582C23—1581no—
1583C23—1581no—
1584C23—1581no—
1585C23—1581no—
1586C23—1581no—
1587C23—1581no—
1588C23—1581no—
1589C23—1581no—
1590C23—1581no—
1591C23—1581no—
1592C23—1581no—
1593C23—1581no—
1594C23—1581no—
1595C23—1581no—
1596C23—1581no—
1597C23—1581no—
1598C23—1581no—
1599C23—1581no—
1600C23—1581no—
1601C23—1581no—
1602C23—1581no—
1603C23—1581no—
1604C23—1581no—
1605C23—1581no—
1606C23—1581no—
1607C23—1581no—
1608C23C22×D31612yes—
1609C23C22×D31612yes—
1610C23C24×D7911yescharacteristic
1611Q8—3164no—
1612Q8—6322no—
1613D4—44no—
1614D4—3164no—
1615D4—3164no—
1616D4—3164no—
1617D4—3164no—
1618D4—3164no—
1619D4—3164no—
1620D4—3164no—
1621D4—6322no—
1622D4—6322no—
1623D4—6322no—
1624D4—6322no—
1625D4—6322no—
1626D4—6322no—
1627D4—6322no—
1628D4—6322no—
1629D4—6322no—
1630D4—6322no—
1631D4—6322no—
1632D4—6322no—
1633D4—6322no—
1634D4—6322no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—3164no—
1672C2×C4—3164no—
1673C2×C4—3164no—
1674C2×C4—3164no—
1675C2×C4—3164no—
1676C2×C4—792no—
1677C2×C4—6322no—
1678C2×C4—6322no—
1679C2×C4—1588no—
1680C2×C4—1581no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4—1581no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1581no—
1690C2×C4—1581no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4—1581no—
1695C2×C4—1581no—
1696C2×C4—1581no—
1697C2×C4—1581no—
1698C2×C4—1581no—
1699C2×C4—1581no—
1700C2×C4—1581no—
1701C2×C4—1581no—
1702C2×C4—1581no—
1703C2×C4—1581no—
1704C2×C4—1581no—
1705C2×C4—1581no—
1706C2×C4—1581no—
1707C2×C4—1581no—
1708C2×C4—1581no—
1709C2×C4C22×D31612yes—
1710C2×C4C22×D31612yes—
1711C2×C4C22×D31612yes—
1712C2×C4C22×D31612yes—
1713C2×C4C22×D31612yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—31616no—
1729C22—3161no—
1730C22—3161no—
1731C22—3161no—
1732C22—3161no—
1733C22—3161no—
1734C22—3161no—
1735C22—3161no—
1736C22—3161no—
1737C22—3161no—
1738C22—3161no—
1739C22—3161no—
1740C22—3161no—
1741C22—3161no—
1742C22—3161no—
1743C22—3161no—
1744C22—3161no—
1745C22—3161no—
1746C22—3161no—
1747C22—3161no—
1748C22—3161no—
1749C22—3161no—
1750C22—3161no—
1751C22—3161no—
1752C22—3161no—
1753C22—3161no—
1754C22—3161no—
1755C22—3161no—
1756C22—3161no—
1757C22—3161no—
1758C22—3161no—
1759C22—3161no—
1760C22—3161no—
1761C22—3161no—
1762C22—3161no—
1763C22—3161no—
1764C22—3161no—
1765C22—6328no—
1766C22—1582no—
1767C22—1582no—
1768C22—1582no—
1769C22—1582no—
1770C22—1582no—
1771C22—1582no—
1772C22C23×D31611yescharacteristic
1773C22H(5,𝔽2)×D7911yescharacteristic
1774C22H(5,𝔽2)×D7911yescharacteristic
1775C22H(5,𝔽2)×D7911yescharacteristic
1776C22#1909939911yescharacteristic
1777C22#1909939911yescharacteristic
1778C22#1909940011yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—3161no—
1793C4—3161no—
1794C4—3161no—
1795C4—3161no—
1796C4—3161no—
1797C4—3161no—
1798C4—3161no—
1799C4—3161no—
1800C4—3161no—
1801C4—1582no—
1802C2—42no—
1803C2—42no—
1804C2—3162no—
1805C2—3162no—
1806C2—6321no—
1807C2—6321no—
1808C2—6321no—
1809C2—6321no—
1810C2#2377673311yescharacteristic
1811C2#2377703611yescharacteristic
1812C2#2377707011yescharacteristic
1813C2#2377756311yescharacteristic
1814C2#2377758311yescharacteristic
1815C2#2377766511yescharacteristic
1816C2#2377770711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2319C2
hypercenter#2319D79
hypocenterC79#36724
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
1. C2×#19099146C2semidirect
2. C2×#19099072C2semidirect
3. #23771693C2semidirect
4. #23771683C2semidirect
5. #23770071C2semidirect
6. #23770026C2semidirect
7. #23769996C2semidirect
8. #23769985C2semidirect
9. #23769819C2semidirect
10. #23769762C2semidirect
11. #23769750C2semidirect
12. #23769747C2semidirect
13. #23769735C2semidirect
14. #23769723C2semidirect
15. #23769720C2semidirect
16. #23769720C2semidirect
17. #23769649C2semidirect
18. #23769624C2semidirect
19. #23769615C2semidirect
20. #23769615C2semidirect
21. #23769287C2semidirect
22. #23769241C2semidirect
23. #23769081C2semidirect
24. #23769027C2semidirect
25. #23768991C2semidirect
26. #23768987C2semidirect
27. #23768371C2semidirect
28. #23768292C2semidirect
29. #23766746C2semidirect
30. #23766721C2semidirect
31. C79×#2319C2semidirect
33. C23×C4×D79C22semidirect
36. C2×#14579156C22semidirect
37. C2×#14579155C22semidirect
38. C2×#14579149C22semidirect
39. C2×#14579149C22semidirect
42. C2×#14579146C22semidirect
43. C2×#14579146C22semidirect
48. C2×#14579141C22semidirect
49. C2×#14579139C22semidirect
50. C2×#14579138C22semidirect
51. C2×#14579138C22semidirect
54. C2×#14579136C22semidirect
64. C2×#14579131C22semidirect
65. C2×#14579131C22semidirect
66. C2×#14579131C22semidirect
67. C2×#14579131C22semidirect
70. C2×C4×D316C22semidirect
72. C2×C4×C22⋊D79C22semidirect
73. C2×C4×C22⋊D79C22semidirect
74. C2×#14579118C22semidirect
75. C22×(C2×D79)⋊C4C22semidirect
76. #19098503C22semidirect
77. #19098500C22semidirect
78. #19098495C22semidirect
79. #19098493C22semidirect
80. #19098493C22semidirect
81. #19098490C22semidirect
82. #19098488C22semidirect
83. #19098488C22semidirect
84. #19098485C22semidirect
85. #19098485C22semidirect
86. #19098485C22semidirect
87. #19098485C22semidirect
88. #19098485C22semidirect
89. #19098485C22semidirect
90. #19098484C22semidirect
91. #19098481C22semidirect
92. #19098481C22semidirect
93. #19098481C22semidirect
98. #19098480C22semidirect
99. #19098480C22semidirect
100. #19098480C22semidirect
101. #19098480C22semidirect
106. #19098479C22semidirect
107. #19098479C22semidirect
108. #19098479C22semidirect
109. #19098479C22semidirect
110. #19098476C22semidirect
111. #19098476C22semidirect
112. #19098476C22semidirect
117. #19098473C22semidirect
122. #19098472C22semidirect
123. #19098472C22semidirect
124. #19098469C22semidirect
125. #19098468C22semidirect
129. #19098465C22semidirect
130. #19098465C22semidirect
131. #19098465C22semidirect
132. #19098464C22semidirect
133. #19098461C22semidirect
134. #19098455C22semidirect
135. #19098455C22semidirect
136. #19098455C22semidirect
137. #19098455C22semidirect
138. #19098454C22semidirect
139. #19098454C22semidirect
140. #19098454C22semidirect
141. #19098454C22semidirect
142. #19098454C22semidirect
143. #19098454C22semidirect
144. #19098448C22semidirect
145. #19098448C22semidirect
152. #19098441C22semidirect
153. #19098441C22semidirect
154. #19098441C22semidirect
155. #19098441C22semidirect
156. #19098441C22semidirect
157. #19098441C22semidirect
160. #19098440C22semidirect
161. #19098440C22semidirect
162. #19098437C22semidirect
163. #19098437C22semidirect
164. #19098437C22semidirect
165. #19098437C22semidirect
166. #19098437C22semidirect
167. #19098437C22semidirect
168. #19098424C22semidirect
169. #19098424C22semidirect
170. #19098420C22semidirect
171. #19098420C22semidirect
172. #19098418C22semidirect
173. #19098418C22semidirect
177. #389×C79C22semidirect
178. #389×C79C22semidirect
179. #388×C79C22semidirect
180. #388×C79C22semidirect
181. #388×C79C22semidirect
182. #388×C79C22semidirect
183. #381×C79C22semidirect
184. #381×C79C22semidirect
185. #380×C79C22semidirect
186. #380×C79C22semidirect
187. C4×C4⋊C4×C79C22semidirect
188. #376×C79C22semidirect
358. C4×D4×C79D4semidirect
939. #2319D79semidirect
940. C79#36724semidirect
1046. #389C2×D79semidirect
1047. #389C2×D79semidirect
1058. #388C2×D79semidirect
1059. #388C2×D79semidirect
1060. #388C2×D79semidirect
1061. #388C2×D79semidirect
1088. #381C2×D79semidirect
1089. #381C2×D79semidirect
1092. #380C2×D79semidirect
1093. #380C2×D79semidirect
1096. C4×C4⋊C4C2×D79semidirect
1097. #376C2×D79semidirect
1178. C4×D4D316semidirect

Maximal subgroups

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

subgroupindex
C2×#190991462
C2×#190990722
#237716932
#237716832
#237700712
#237700262
#237699962
#237699852
#237698192
#237697622
#237697502
#237697472
#237697352
#237697232
#237697202
#237696492
#237696242
#237696152
#237692872
#237692412
#237690812
#237690272
#237689912
#237689872
#237683712
#237682922
#237667462
#237667212
C79×#23192
#3672479