Finite Group Databasebeta

← #34495134

Subgroups — #34495134

Order 20224.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19099184C211yesmaximal, characteristic, complemented
2C2×#19099072C211yesmaximal, characteristic, complemented
3#23771691C211yesmaximal, characteristic, complemented
4#23771686C211yesmaximal, characteristic, complemented
5#23769951C211yesmaximal, characteristic, complemented
6#23769940C211yesmaximal, characteristic, complemented
7#23769897C211yesmaximal, characteristic, complemented
8#23769886C211yesmaximal, characteristic, complemented
9#23769856C211yesmaximal, characteristic, complemented
10#23769807C211yesmaximal, characteristic, complemented
11#23769796C211yesmaximal, characteristic, complemented
12#23769781C211yesmaximal, characteristic, complemented
13#23769712C211yesmaximal, characteristic, complemented
14#23769706C211yesmaximal, characteristic, complemented
15#23769686C211yesmaximal, characteristic, complemented
16#23769678C211yesmaximal, characteristic, complemented
17#23769656C211yesmaximal, characteristic, complemented
18#23769637C211yesmaximal, characteristic, complemented
19#23769627C211yesmaximal, characteristic, complemented
20#23769605C211yesmaximal, characteristic, complemented
21#23769321C211yesmaximal, characteristic, complemented
22#23769243C211yesmaximal, characteristic, complemented
23#23769072C211yesmaximal, characteristic, complemented
24#23769008C211yesmaximal, characteristic, complemented
25#23768979C211yesmaximal, characteristic, complemented
26#23768754C211yesmaximal, characteristic, complemented
27#23768585C211yesmaximal, characteristic, complemented
28#23767026C211yesmaximal, characteristic, complemented
29#23767007C211yesmaximal, characteristic, complemented
30#23766031C211yesmaximal, characteristic, complemented
31C79×#2598C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C23×C4×D79C2211yescharacteristic
34#19099184—28no—
35C2×#14579161C2211yescharacteristic, complemented
36C2×#14579160C2211yescharacteristic, complemented
37C2×#14579156C2211yescharacteristic
38C2×#14579156C2211yescharacteristic, complemented
39C2×#14579149C2211yescharacteristic
40C2×#14579147C2211yescharacteristic
41C2×#14579147C2211yescharacteristic
42C2×#14579147C2211yescharacteristic, complemented
43#19099072—28no—
44C2×#14579146C2211yescharacteristic
45C2×#14579143C2211yescharacteristic
46C2×#14579143C2211yescharacteristic
47C2×#14579143C2211yescharacteristic
48C2×#14579143C2211yescharacteristic, complemented
49C2×#14579140C2211yescharacteristic, complemented
50C2×#14579139C2211yescharacteristic
51C2×#14579139C2211yescharacteristic
52C2×#14579139C2211yescharacteristic
53C2×#14579139C2211yescharacteristic, complemented
54C2×#14579138C2211yescharacteristic
55C2×#14579138C2211yescharacteristic
56C2×#14579135C2211yescharacteristic
57C2×#14579134C2211yescharacteristic
58C2×#14579134C2211yescharacteristic
59C2×#14579133C2211yescharacteristic
60C2×#14579132C2211yescharacteristic, complemented
61C2×#14579131C2211yescharacteristic
62C2×#14579129C2211yescharacteristic
63C2×#14579129C2211yescharacteristic
64C2×C4×Dic158C2211yescharacteristic, complemented
65C2×C4×D316C2211yescharacteristic
66C2×C4×C22⋊D79C2211yescharacteristic
67C2×C4×C22⋊D79C2211yescharacteristic
68C2×#14579118C2211yescharacteristic
69#19098504C2211yescharacteristic, complemented
70#19098499C2211yescharacteristic
71#19098499C2211yescharacteristic
72#19098499C2211yescharacteristic, complemented
73#19098497C2211yescharacteristic, complemented
74#19098497C2211yescharacteristic, complemented
75#19098496C2211yescharacteristic, complemented
76#19098495C2211yescharacteristic, complemented
77#19098492C2211yescharacteristic
78#19098492C2211yescharacteristic
79#19098491C2211yescharacteristic, complemented
80#19098490C2211yescharacteristic
81#19098490C2211yescharacteristic, complemented
82#19098489C2211yescharacteristic
83#19098486C2211yescharacteristic, complemented
84#19098486C2211yescharacteristic, complemented
85#19098486C2211yescharacteristic, complemented
86#19098485C2211yescharacteristic
87#19098484C2211yescharacteristic, complemented
88#19098484C2211yescharacteristic, complemented
89#19098483C2211yescharacteristic, complemented
90#19098483C2211yescharacteristic, complemented
91#19098481C2211yescharacteristic
92#19098480C2211yescharacteristic
93#19098479C2211yescharacteristic
94#19098479C2211yescharacteristic
95#19098479C2211yescharacteristic
96#19098479C2211yescharacteristic
97#19098479C2211yescharacteristic, complemented
98#19098478C2211yescharacteristic
99#19098478C2211yescharacteristic
100#19098478C2211yescharacteristic
101#19098478C2211yescharacteristic, complemented
102#19098478C2211yescharacteristic, complemented
103#19098477C2211yescharacteristic, complemented
104#19098476C2211yescharacteristic
105#19098475C2211yescharacteristic
106#19098475C2211yescharacteristic
107#19098475C2211yescharacteristic, complemented
108#19098475C2211yescharacteristic, complemented
109#19098475C2211yescharacteristic, complemented
110#19098471C2211yescharacteristic
111#19098471C2211yescharacteristic
112#19098471C2211yescharacteristic
113#19098467C2211yescharacteristic, complemented
114#19098466C2211yescharacteristic
115#19098466C2211yescharacteristic
116#19098466C2211yescharacteristic
117#19098463C2211yescharacteristic
118#19098460C2211yescharacteristic, complemented
119#19098459C2211yescharacteristic, complemented
120#19098459C2211yescharacteristic, complemented
121#19098456C2211yescharacteristic
122#19098455C2211yescharacteristic
123#19098455C2211yescharacteristic
124#19098455C2211yescharacteristic
125#19098455C2211yescharacteristic
126#19098454C2211yescharacteristic
127#19098451C2211yescharacteristic, complemented
128#19098451C2211yescharacteristic, complemented
129#19098448C2211yescharacteristic, complemented
130#19098448C2211yescharacteristic, complemented
131#19098448C2211yescharacteristic, complemented
132#19098448C2211yescharacteristic, complemented
133#19098447C2211yescharacteristic, complemented
134#19098446C2211yescharacteristic, complemented
135#19098446C2211yescharacteristic, complemented
136#19098444C2211yescharacteristic, complemented
137#19098443C2211yescharacteristic
138#19098442C2211yescharacteristic
139#19098441C2211yescharacteristic
140#19098441C2211yescharacteristic
141#19098441C2211yescharacteristic
142#19098439C2211yescharacteristic
143#19098439C2211yescharacteristic
144#19098439C2211yescharacteristic
145#19098439C2211yescharacteristic
146#19098439C2211yescharacteristic, complemented
147#19098438C2211yescharacteristic
148#19098437C2211yescharacteristic
149#19098437C2211yescharacteristic
150#19098437C2211yescharacteristic
151#19098437C2211yescharacteristic
152#19098437C2211yescharacteristic, complemented
153#19098437C2211yescharacteristic, complemented
154#19098436C2211yescharacteristic
155#19098436C2211yescharacteristic
156#19098436C2211yescharacteristic, complemented
157#19098436C2211yescharacteristic, complemented
158#19098436C2211yescharacteristic, complemented
159#19098434C2211yescharacteristic
160#19098434C2211yescharacteristic
161#19098429C2211yescharacteristic, complemented
162#19098425C2211yescharacteristic
163#19098425C2211yescharacteristic
164#19098422C2211yescharacteristic
165#19098422C2211yescharacteristic
166#19098422C2211yescharacteristic, complemented
167#19098421C2211yescharacteristic
168#19098420C2211yescharacteristic, complemented
169#19098418C2211yescharacteristic
170#19098418C2211yescharacteristic
171#19098418C2211yescharacteristic
172#19098410C2211yescharacteristic, complemented
173#95×D79C2211yescharacteristic, complemented
174C2×C4×D4×C79C2211yescharacteristic
175C2×#117×C79C2211yescharacteristic, complemented
176#400×C79C2211yescharacteristic, complemented
177#399×C79C2211yescharacteristic, complemented
178#394×C79C2211yescharacteristic
179#392×C79C2211yescharacteristic
180#388×C79C2211yescharacteristic
181#388×C79C2211yescharacteristic, complemented
182#386×C79C2211yescharacteristic
183#386×C79C2211yescharacteristic
184#386×C79C2211yescharacteristic, complemented
185#386×C79C2211yescharacteristic, complemented
186#385×C79C2211yescharacteristic
187#385×C79C2211yescharacteristic, complemented
188#383×C79C2211yescharacteristic, complemented
189C24×D79C2311yescharacteristic
190C2×#11929624—24no—
191C2×#11929624—42no—
192C2×#11929624—42no—
193C22×Dic158C2311yescharacteristic
194C22×Dic158C2311yescharacteristic
195C22×Dic158C2311yescharacteristic
196C22×Dic158C2311yescharacteristic
197C22×D316C2311yescharacteristic
198C22×D316C2311yescharacteristic
199C22×C22⋊D79C2311yescharacteristic
200C22×C22⋊D79C2311yescharacteristic
201C22×C22⋊D79C2311yescharacteristic
202C22×C22⋊D79C2311yescharacteristic
203C22×C22⋊D79C2311yescharacteristic
204C22×C22⋊D79C2311yescharacteristic
205C22×C22⋊D79C2311yescharacteristic
206C23×Dic79C2311yescharacteristic
207C22×C4×D79—24no—
208C22×C4×D79—42no—
209C22×C4×D79—42no—
210C22×C4×D79C2311yescharacteristic
211C22×C4×D79C2311yescharacteristic
212C22×C4×D79C2311yescharacteristic
213C22×C4×D79C2311yescharacteristic
214C22×C4×D79C2311yescharacteristic
215C22×C4×D79C2311yescharacteristic
216C22×C4×D79C2311yescharacteristic
217#14579161—24no—
218#14579160—42no—
219#14579156—24no—
220#14579156—24no—
221#14579149—24no—
222#14579147—24no—
223#14579147—24no—
224#14579147—42no—
225#14579146—24no—
226#14579143—24no—
227#14579143—24no—
228#14579143—24no—
229#14579143—42no—
230#14579140—24no—
231#14579139—24no—
232#14579139—24no—
233#14579139—24no—
234#14579139—42no—
235#14579138—24no—
236#14579138—42no—
237#14579135—24no—
238#14579134—24no—
239#14579134—42no—
240#14579133—24no—
241#14579132—42no—
242#14579131—24no—
243#14579129—24no—
244#14579129—42no—
245C4×Dic158—24no—
246C4×D316D418yescomplemented
247C4×C22⋊D79—24no—
248C4×C22⋊D79—24no—
249#14579118—24no—
250C2×C4⋊Dic79C2311yescharacteristic
251C2×C4⋊Dic79C2311yescharacteristic
252C2×C4⋊Dic79C2311yescharacteristic
253C2×C4⋊Dic79C2311yescharacteristic
254C2×C4⋊Dic79C2311yescharacteristic
255C2×C4⋊Dic79C2311yescharacteristic
256C2×C4⋊Dic79C2311yescharacteristic
257C2×C4⋊Dic79C2311yescharacteristic
258C2×C4⋊Dic79C2311yescharacteristic
259C2×C4⋊Dic79C2311yescharacteristic
260C2×Dic79⋊C4C2311yescharacteristic
261C2×Dic79⋊C4C2311yescharacteristic
262C2×Dic79⋊C4C2311yescharacteristic
263C2×Dic79⋊C4C2311yescharacteristic
264C2×Dic79⋊C4C2311yescharacteristic
265C2×Dic79⋊C4C2311yescharacteristic
266C2×Dic79⋊C4C2311yescharacteristic
267C2×Dic79⋊C4C2311yescharacteristic
268C2×Dic79⋊C4C2311yescharacteristic
269C2×Dic79⋊C4C2311yescharacteristic
270C2×Dic79⋊C4C2311yescharacteristic
271C2×Dic79⋊C4C2311yescharacteristic
272C2×Dic79⋊C4C2311yescharacteristic
273C2×Dic79⋊C4C2311yescharacteristic
274C2×Dic79⋊C4C2311yescharacteristic
275C2×Dic79⋊C4C2311yescharacteristic
276C2×Dic79⋊C4C2311yescharacteristic
277C2×C22⋊Dic79C2311yescharacteristic
278C2×C22⋊Dic79C2311yescharacteristic
279C2×C22⋊Dic79C2311yescharacteristic
280C2×C22⋊Dic79C2311yescharacteristic
281C2×C22⋊Dic79C2311yescharacteristic
282C2×C22⋊Dic79C2311yescharacteristic
283C2×C22⋊Dic79C2311yescharacteristic
284C2×C22⋊Dic79C2311yescharacteristic
285C2×C22⋊Dic79C2311yescharacteristic
286C2×C22⋊Dic79C2311yescharacteristic
287C2×C22⋊Dic79C2311yescharacteristic
288C2×C22⋊Dic79C2311yescharacteristic
289C2×C22⋊Dic79C2311yescharacteristic
290C2×C22⋊Dic79C2311yescharacteristic
291C2×C22⋊Dic79C2311yescharacteristic
292C2×(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×C4×Dic79C2311yescharacteristic
318C2×C4×Dic79C2311yescharacteristic
319C2×C4×Dic79C2311yescharacteristic
320C2×C4×Dic79C2311yescharacteristic
321C2×C4×Dic79C2311yescharacteristic
322C79⋊#95C2311yescharacteristic
323C79⋊#95C2311yescharacteristic
324C79⋊#95C2311yescharacteristic
325C79⋊#95C2311yescharacteristic
326C79⋊#95C2311yescharacteristic
327C79⋊#95C2311yescharacteristic
328C79⋊#95C2311yescharacteristic
329C79⋊#95C2311yescharacteristic
330C79⋊#95C2311yescharacteristic
331C79⋊#95C2311yescharacteristic
332C79⋊#95C2311yescharacteristic
333C79⋊#95C2311yescharacteristic
334C79⋊#95C2311yescharacteristic
335C79⋊#95C2311yescharacteristic
336C79⋊#95C2311yescharacteristic
337C79⋊#95C2311yescharacteristic
338C79⋊#95C2311yescharacteristic
339C79⋊#95C2311yescharacteristic
340C79⋊#95C2311yescharacteristic
341C79⋊#95C2311yescharacteristic
342C79⋊#95C2311yescharacteristic
343C79⋊#95C2311yescharacteristic
344C79⋊#95C2311yescharacteristic
345C79⋊#95C2311yescharacteristic
346C79⋊#95C2311yescharacteristic
347C79⋊#95C2311yescharacteristic
348C22×D4×C79C2311yescharacteristic
349C22×D4×C79C2311yescharacteristic
350C22×D4×C79C2311yescharacteristic
351C23×C4×C79C2311yescharacteristic
352C23×C4×C79C2311yescharacteristic
353C23×C4×C79C2311yescharacteristic
354C4×D4×C79—24no—
355#117×C79—24no—
356C2×C4⋊C4×C79C2311yescharacteristic
357C2×C4⋊C4×C79C2311yescharacteristic
358C2×C4⋊C4×C79C2311yescharacteristic
359C2×C4⋊C4×C79C2311yescharacteristic
360C2×C4⋊C4×C79C2311yescharacteristic
361C2×C22⋊C4×C79C2311yescharacteristic
362C2×C22⋊C4×C79C2311yescharacteristic
363C2×C22⋊C4×C79C2311yescharacteristic
364C2×C22⋊C4×C79C2311yescharacteristic
365C2×C22⋊C4×C79C2311yescharacteristic
366C2×C22⋊C4×C79C2311yescharacteristic
367C2×C22⋊C4×C79C2311yescharacteristic
368C2×C22⋊C4×C79C2311yescharacteristic
369C2×C22⋊C4×C79C2311yescharacteristic
370C2×C22⋊C4×C79C2311yescharacteristic
371C2×C22⋊C4×C79C2311yescharacteristic
372C2×C22⋊C4×C79C2311yescharacteristic
373C2×C42×C79C2311yescharacteristic
374C2×C42×C79C2311yescharacteristic
375#95×C79C2311yescharacteristic
376#95×C79C2311yescharacteristic
377#95×C79C2311yescharacteristic
378#95×C79C2311yescharacteristic
379#95×C79C2311yescharacteristic
380#95×C79C2311yescharacteristic
381#95×C79C2311yescharacteristic
382#95×C79C2311yescharacteristic
383#95×C79C2311yescharacteristic
384#95×C79C2311yescharacteristic
385C23×D79—22no—
386C23×D79—22no—
387C23×D79—22no—
388C23×D79—41no—
389C23×D79—41no—
390C23×D79—41no—
391C23×D79—41no—
392C23×D79C2411yescharacteristic
393C23×D79C2411yescharacteristic
394C23×D79C2411yescharacteristic
395#11929624—416no—
396C2×Dic158—22no—
397C2×Dic158—22no—
398C2×Dic158—22no—
399C2×Dic158—22no—
400C2×Dic158—22no—
401C2×Dic158—41no—
402C2×Dic158—41no—
403C2×Dic158—41no—
404C2×Dic158—41no—
405C2×Dic158—41no—
406C2×Dic158—41no—
407C2×Dic158—41no—
408C2×D316—22no—
409C2×D316—22no—
410C2×D316—41no—
411C2×D316—41no—
412C2×D316—41no—
413C2×D316C2×D414yes—
414C2×C22⋊D79—22no—
415C2×C22⋊D79—22no—
416C2×C22⋊D79—22no—
417C2×C22⋊D79—22no—
418C2×C22⋊D79—22no—
419C2×C22⋊D79—22no—
420C2×C22⋊D79—22no—
421C2×C22⋊D79—22no—
422C2×C22⋊D79—22no—
423C2×C22⋊D79—22no—
424C2×C22⋊D79—41no—
425C2×C22⋊D79—41no—
426C2×C22⋊D79—41no—
427C2×C22⋊D79—41no—
428C2×C22⋊D79—41no—
429C2×C22⋊D79—41no—
430C2×C22⋊D79—41no—
431C2×C22⋊D79—41no—
432C2×C22⋊D79—41no—
433C2×C22⋊D79—41no—
434C2×C22⋊D79—41no—
435C22×Dic79—22no—
436C22×Dic79—22no—
437C22×Dic79—41no—
438C22×Dic79C2411yescharacteristic
439C22×Dic79C2411yescharacteristic
440C22×Dic79C2411yescharacteristic
441C22×Dic79C2411yescharacteristic
442C22×Dic79C2411yescharacteristic
443C22×Dic79C2411yescharacteristic
444C22×Dic79C2411yescharacteristic
445C22×Dic79C2411yescharacteristic
446C22×Dic79C2411yescharacteristic
447C22×Dic79C2411yescharacteristic
448C22×Dic79C2411yescharacteristic
449C22×Dic79C2411yescharacteristic
450C22×Dic79C2411yescharacteristic
451C2×C4×D79—22no—
452C2×C4×D79—22no—
453C2×C4×D79—22no—
454C2×C4×D79—22no—
455C2×C4×D79—22no—
456C2×C4×D79—22no—
457C2×C4×D79—22no—
458C2×C4×D79—41no—
459C2×C4×D79—41no—
460C2×C4×D79—41no—
461C2×C4×D79—41no—
462C2×C4×D79—41no—
463C2×C4×D79—41no—
464C2×C4×D79—41no—
465C2×C4×D79—41no—
466C2×C4×D79—41no—
467C2×C4×D79—41no—
468C2×C4×D79—41no—
469C2×C4×D79—41no—
470C2×C4×D79—416no—
471C2×C4×D79C2×D414yes—
472C2×C4×D79C2×D414yes—
473C4⋊Dic79—22no—
474C4⋊Dic79—22no—
475C4⋊Dic79—22no—
476C4⋊Dic79—22no—
477C4⋊Dic79—22no—
478C4⋊Dic79—41no—
479C4⋊Dic79—41no—
480C4⋊Dic79—41no—
481C4⋊Dic79—41no—
482C4⋊Dic79C2×D414yes—
483Dic79⋊C4—22no—
484Dic79⋊C4—22no—
485Dic79⋊C4—22no—
486Dic79⋊C4—22no—
487Dic79⋊C4—22no—
488Dic79⋊C4—22no—
489Dic79⋊C4—22no—
490Dic79⋊C4—22no—
491Dic79⋊C4—22no—
492Dic79⋊C4—41no—
493Dic79⋊C4—41no—
494Dic79⋊C4—41no—
495Dic79⋊C4—41no—
496Dic79⋊C4—41no—
497Dic79⋊C4—41no—
498Dic79⋊C4—41no—
499Dic79⋊C4—41no—
500C22⋊Dic79—22no—
501C22⋊Dic79—22no—
502C22⋊Dic79—22no—
503C22⋊Dic79—22no—
504C22⋊Dic79—22no—
505C22⋊Dic79—41no—
506C22⋊Dic79—41no—
507C22⋊Dic79—41no—
508C22⋊Dic79—41no—
509C22⋊Dic79—41no—
510C22⋊Dic79—41no—
511C22⋊Dic79—41no—
512C22⋊Dic79—41no—
513C22⋊Dic79—41no—
514C22⋊Dic79—41no—
515(C2×D79)⋊C4—22no—
516(C2×D79)⋊C4—22no—
517(C2×D79)⋊C4—22no—
518(C2×D79)⋊C4—22no—
519(C2×D79)⋊C4—22no—
520(C2×D79)⋊C4—22no—
521(C2×D79)⋊C4—22no—
522(C2×D79)⋊C4—22no—
523(C2×D79)⋊C4—22no—
524(C2×D79)⋊C4—22no—
525(C2×D79)⋊C4—22no—
526(C2×D79)⋊C4—22no—
527(C2×D79)⋊C4—22no—
528(C2×D79)⋊C4—41no—
529(C2×D79)⋊C4—41no—
530(C2×D79)⋊C4—41no—
531(C2×D79)⋊C4—41no—
532(C2×D79)⋊C4—41no—
533(C2×D79)⋊C4—41no—
534(C2×D79)⋊C4—41no—
535(C2×D79)⋊C4—41no—
536(C2×D79)⋊C4—41no—
537(C2×D79)⋊C4—41no—
538(C2×D79)⋊C4C2×D414yes—
539(C2×D79)⋊C4C2×D414yes—
540C4×Dic79—22no—
541C4×Dic79—22no—
542C4×Dic79—22no—
543C4×Dic79—41no—
544C4×Dic79—41no—
545C24×C79C2411yescharacteristic
546C24×C79C2411yescharacteristic
547C24×C79C2411yescharacteristic
548C2×D4×C79—22no—
549C2×D4×C79—22no—
550C2×D4×C79—22no—
551C2×D4×C79—41no—
552C2×D4×C79—41no—
553C2×D4×C79—41no—
554C2×D4×C79—41no—
555C2×D4×C79—41no—
556C2×D4×C79—41no—
557C22×C4×C79—22no—
558C22×C4×C79—22no—
559C22×C4×C79—22no—
560C22×C4×C79—41no—
561C22×C4×C79—41no—
562C22×C4×C79—41no—
563C22×C4×C79—41no—
564C22×C4×C79—41no—
565C22×C4×C79—41no—
566C22×C4×C79C2411yescharacteristic
567C22×C4×C79C2411yescharacteristic
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2411yescharacteristic
570C22×C4×C79C2411yescharacteristic
571C22×C4×C79C2411yescharacteristic
572C22×C4×C79C2411yescharacteristic
573C22×C4×C79C2411yescharacteristic
574C22×C4×C79C2411yescharacteristic
575C22×C4×C79C2411yescharacteristic
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2411yescharacteristic
578C4⋊C4×C79—22no—
579C4⋊C4×C79—22no—
580C4⋊C4×C79—22no—
581C4⋊C4×C79—41no—
582C4⋊C4×C79—41no—
583C22⋊C4×C79—22no—
584C22⋊C4×C79—22no—
585C22⋊C4×C79—22no—
586C22⋊C4×C79—22no—
587C22⋊C4×C79—22no—
588C22⋊C4×C79—41no—
589C22⋊C4×C79—41no—
590C22⋊C4×C79—41no—
591C22⋊C4×C79—41no—
592C22⋊C4×C79—41no—
593C22⋊C4×C79—41no—
594C22⋊C4×C79—41no—
595C42×C79—22no—
596C42×C79C2×D414yes—
597C23×C79—21no—
598C23×C79—21no—
599C23×C79—21no—
600C23×C79—21no—
601C23×C79—21no—
602C23×C79—21no—
603C23×C79—21no—
604C23×C79—21no—
605C23×C79—21no—
606C23×C79—21no—
607C23×C79—21no—
608C23×C79—21no—
609C23×C79—21no—
610C23×C79—21no—
611C23×C79—21no—
612C23×C79—21no—
613C23×C79—21no—
614C23×C79—21no—
615C23×C79—21no—
616C23×C79—21no—
617C23×C792−1+412yes—
618C23×C79C2511yescharacteristic
619C22×D79—21no—
620C22×D79—21no—
621C22×D79—21no—
622C22×D79—21no—
623C22×D79—21no—
624C22×D79—21no—
625C22×D79—21no—
626C22×D79—21no—
627C22×D79—21no—
628C22×D79—21no—
629C22×D79—21no—
630C22×D79—21no—
631C22×D79—21no—
632C22×D79—21no—
633C22×D79—21no—
634C22×D79—21no—
635C22×D79—21no—
636C22×D79—21no—
637C22×D79—44no—
638C22×D79—44no—
639C22×D79—44no—
640C22×D79—44no—
641C22×D79—44no—
642C22×D79—44no—
643C22×D79—44no—
644C22×D79C22×D412yes—
645C22×D79C22×D412yes—
646C22×D79H(5,𝔽2)12yes—
647D4×C79—44no—
648D4×C79—82no—
649D4×C79—82no—
650C2×C4×C79—21no—
651C2×C4×C79—21no—
652C2×C4×C79—21no—
653C2×C4×C79—21no—
654C2×C4×C79—21no—
655C2×C4×C79—21no—
656C2×C4×C79—21no—
657C2×C4×C79—21no—
658C2×C4×C79—21no—
659C2×C4×C79—21no—
660C2×C4×C79—21no—
661C2×C4×C79—21no—
662C2×C4×C79—21no—
663C2×C4×C79—21no—
664C2×C4×C79—21no—
665C2×C4×C79—21no—
666C2×C4×C79—21no—
667C2×C4×C79—21no—
668C2×C4×C79—21no—
669C2×C4×C79—21no—
670C2×C4×C79—21no—
671C2×C4×C79—21no—
672C2×C4×C79—21no—
673C2×C4×C79—21no—
674C2×C4×C79—21no—
675C2×C4×C79—21no—
676C2×C4×C79—21no—
677C2×C4×C79—21no—
678C2×C4×C79—21no—
679C2×C4×C79—21no—
680C2×C4×C79—21no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—44no—
684C2×C4×C79—44no—
685C2×C4×C79—44no—
686C2×C4×C79C22×D412yes—
687C2×C4×C79C22×D412yes—
688C2×C4×C79C22×D412yes—
689C22⋊D79—44no—
690C22⋊D79—44no—
691C22⋊D79—44no—
692C22⋊D79—44no—
693C22⋊D79—82no—
694C22⋊D79—82no—
695C22⋊D79—82no—
696C2×Dic79—21no—
697C2×Dic79—21no—
698C2×Dic79—21no—
699C2×Dic79—21no—
700C2×Dic79—21no—
701C2×Dic79—21no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—21no—
710C2×Dic79—21no—
711C2×Dic79—21no—
712C2×Dic79—21no—
713C2×Dic79—21no—
714C2×Dic79—21no—
715C2×Dic79—21no—
716C2×Dic79—21no—
717C2×Dic79—21no—
718C2×Dic79—21no—
719C2×Dic79—21no—
720C2×Dic79—21no—
721C2×Dic79—21no—
722C2×Dic79—21no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—44no—
733C2×Dic79C22×D412yes—
734C2×Dic79C22×D412yes—
735C2×Dic79H(5,𝔽2)12yes—
736D316—44no—
737D316—44no—
738C4×D79—28no—
739C4×D79—44no—
740C4×D79—44no—
741C4×D79—44no—
742C4×D79—44no—
743C4×D79—82no—
744C4×D79—82no—
745Dic158—44no—
746Dic158—44no—
747Dic158—82no—
748Dic158—82no—
749C22×C79—22no—
750C22×C79—22no—
751C22×C79—22no—
752C22×C79—41no—
753C22×C79—41no—
754C22×C79—41no—
755C22×C79—41no—
756C22×C79—41no—
757C22×C79—41no—
758C22×C79—41no—
759C22×C79—41no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79—41no—
764C22×C79—41no—
765C22×C79—41no—
766C22×C79—41no—
767C22×C79—41no—
768C22×C79—41no—
769C22×C79—41no—
770C22×C79C23×D411yescharacteristic
771C22×C79C2×H(5,𝔽2)11yescharacteristic
772C22×C79C2×H(5,𝔽2)11yescharacteristic
773C22×C79C2×2−1+411yescharacteristic
774C22×C79#58511yescharacteristic
775C22×C79#58511yescharacteristic
776C22×C79#58511yescharacteristic
777C2×D79—22no—
778C2×D79—22no—
779C2×D79—22no—
780C2×D79—22no—
781C2×D79—22no—
782C2×D79—22no—
783C2×D79—22no—
784C2×D79—22no—
785C2×D79—22no—
786C2×D79—416no—
787C2×D79—41no—
788C2×D79—41no—
789C2×D79—41no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C2×D79—41no—
799C4×C79—22no—
800C4×C79—22no—
801C4×C79—22no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79—41no—
810C4×C79—41no—
811Dic79—22no—
812Dic79—22no—
813Dic79—22no—
814Dic79—41no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823Dic79—41no—
824#36712—791nomaximal, Sylow
825C2×C79—42no—
826C2×C79—81no—
827C2×C79—81no—
828C2×C79#344911yescharacteristic
829C2×C79#348411yescharacteristic
830C2×C79#348911yescharacteristic
831C2×C79#353311yescharacteristic
832C2×C79#353511yescharacteristic
833C2×C79#354011yescharacteristic
834C2×C79#354111yescharacteristic
835D79—42no—
836D79—42no—
837D79—42no—
838C2×#542—791no—
839C2×#525—791no—
840#2849—791no—
841#2848—791no—
842#2696—791no—
843#2695—791no—
844#2692—791no—
845#2691—791no—
846#2689—791no—
847#2686—791no—
848#2685—791no—
849#2684—791no—
850#2677—791no—
851#2676—791no—
852#2674—791no—
853#2674—791no—
854#2672—791no—
855#2671—791no—
856#2670—791no—
857#2668—791no—
858#2638—791no—
859#2630—791no—
860#2609—791no—
861#2602—791no—
862#2599—791no—
863#2598D7911yescharacteristic, complemented
864#2580—791no—
865#2564—791no—
866#2432—791no—
867#2430—791no—
868#2318—791no—
869C79#3671211yescharacteristic, complemented, Sylow
870C22×#41—791no—
871C24×C4—791no—
872#542—1588no—
873C2×C4⋊Q8—791no—
874C2×C4⋊Q8—791no—
875C2×#126—791no—
876C2×#126—791no—
877C2×#124—791no—
878C2×#124—791no—
879C2×#124—791no—
880C2×#124—791no—
881#525—1588no—
882C2×#123—791no—
883C2×#123—791no—
884C2×#123—791no—
885C2×#123—791no—
886C2×#123—791no—
887C2×C22⋊Q8—791no—
888C2×C22⋊Q8—791no—
889C2×C22⋊Q8—791no—
890C2×C22⋊Q8—791no—
891C2×C22⋊Q8—791no—
892C2×C22⋊Q8—791no—
893C2×C22⋊Q8—791no—
894C2×#121—791no—
895C2×#121—791no—
896C2×#121—791no—
897C2×#121—791no—
898C2×#121—791no—
899C2×#120—791no—
900C2×#120—791no—
901C2×#120—791no—
902C2×C4×Q8—791no—
903C2×C4×D4—791no—
904C2×C4×D4—791no—
905C2×C4×D4—791no—
906C2×C4×D4C2×D7911yescharacteristic
907C2×#117—791no—
908C2×#117C2×D7911yescharacteristic, complemented
909#400—791no—
910#400C2×D7911yescharacteristic, complemented
911#399—791no—
912#399—791no—
913#399—791no—
914#399C2×D7911yescharacteristic, complemented
915#398—791no—
916#398—791no—
917#398—791no—
918#398—791no—
919#397—791no—
920#397—791no—
921#397—791no—
922#397—791no—
923#397—791no—
924#397—791no—
925#396—791no—
926#396—791no—
927#396—791no—
928#396—791no—
929#395—791no—
930#395—791no—
931#395—791no—
932#395—791no—
933#394—791no—
934#394—791no—
935#394—791no—
936#394—791no—
937#394—791no—
938#394—791no—
939#394—791no—
940#394—791no—
941#394—791no—
942#394—791no—
943#394—791no—
944#394—791no—
945#394—791no—
946#394C2×D7911yescharacteristic
947#393—791no—
948#393—791no—
949#393—791no—
950#393—791no—
951#393—791no—
952#393—791no—
953#392—791no—
954#392—791no—
955#392—791no—
956#392C2×D7911yescharacteristic
957#391—791no—
958#390—791no—
959#390—791no—
960#390—791no—
961#390—791no—
962#389—791no—
963#389—791no—
964#389—791no—
965#388—791no—
966#388—791no—
967#388—791no—
968#388—791no—
969#388—791no—
970#388—791no—
971#388—791no—
972#388—791no—
973#388C2×D7911yescharacteristic
974#388C2×D7911yescharacteristic, complemented
975#387—791no—
976#387—791no—
977#387—791no—
978#387—791no—
979#387—791no—
980#387—791no—
981#387—791no—
982#387—791no—
983#386—791no—
984#386—791no—
985#386—791no—
986#386—791no—
987#386—791no—
988#386—791no—
989#386—791no—
990#386—791no—
991#386—791no—
992#386—791no—
993#386C2×D7911yescharacteristic
994#386C2×D7911yescharacteristic
995#386C2×D7911yescharacteristic, complemented
996#386C2×D7911yescharacteristic, complemented
997#385—791no—
998#385—791no—
999#385—791no—
1000#385—791no—
1001#385—791no—
1002#385—791no—
1003#385—791no—
1004#385—791no—
1005#385—791no—
1006#385—791no—
1007#385—791no—
1008#385—791no—
1009#385—791no—
1010#385—791no—
1011#385C2×D7911yescharacteristic
1012#385C2×D7911yescharacteristic, complemented
1013#383C2×D7911yescharacteristic, complemented
1014#382—791no—
1015#381—791no—
1016#381—791no—
1017#380—791no—
1018#380—791no—
1019#380—791no—
1020#380—791no—
1021#380—791no—
1022#379—791no—
1023#379—791no—
1024#379—791no—
1025C4×C22⋊C4—791no—
1026C2×#95—791no—
1027C25—791no—
1028C2×#41—3162no—
1029C2×#41—3162no—
1030C2×#41—1584no—
1031C22×Q8—791no—
1032C22×Q8—791no—
1033C22×Q8—791no—
1034C22×Q8—791no—
1035C22×D4—791no—
1036C22×D4—791no—
1037C22×D4—791no—
1038C22×D4—791no—
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—791no—
1042C22×D4—791no—
1043C22×D4—791no—
1044C22×D4C22×D7911yescharacteristic
1045C22×D4C22×D7911yescharacteristic
1046C22×D4C22×D7911yescharacteristic
1047C23×C4—3162no—
1048C23×C4—3162no—
1049C23×C4—791no—
1050C23×C4—791no—
1051C23×C4—791no—
1052C23×C4—791no—
1053C23×C4—791no—
1054C23×C4—791no—
1055C23×C4—791no—
1056C23×C4—791no—
1057C23×C4—1584no—
1058C23×C4C22×D7911yescharacteristic
1059C23×C4C22×D7911yescharacteristic
1060C23×C4C22×D7911yescharacteristic
1061C4⋊Q8—3162no—
1062C4⋊Q8—1584no—
1063#126—1584no—
1064#126—1584no—
1065#124—3162no—
1066#124—1584no—
1067#124—1584no—
1068#124—1584no—
1069#123—3162no—
1070#123—1584no—
1071#123—1584no—
1072#123—1584no—
1073#123—1584no—
1074C22⋊Q8—3162no—
1075C22⋊Q8—3162no—
1076C22⋊Q8—1584no—
1077C22⋊Q8—1584no—
1078C22⋊Q8—1584no—
1079C22⋊Q8—1584no—
1080C22⋊Q8—1584no—
1081#121—3162no—
1082#121—3162no—
1083#121—1584no—
1084#121—1584no—
1085#121—1584no—
1086#120—3162no—
1087#120—1584no—
1088#120—1584no—
1089C4×Q8—1584no—
1090C4×D4—24no—
1091C4×D4—798no—
1092C4×D4—1584no—
1093C4×D4—1584no—
1094#117—24no—
1095#117—1584no—
1096C2×C4⋊C4—791no—
1097C2×C4⋊C4—791no—
1098C2×C4⋊C4—791no—
1099C2×C4⋊C4—791no—
1100C2×C4⋊C4—791no—
1101C2×C4⋊C4—791no—
1102C2×C4⋊C4—791no—
1103C2×C4⋊C4—791no—
1104C2×C4⋊C4—791no—
1105C2×C4⋊C4—791no—
1106C2×C4⋊C4—791no—
1107C2×C4⋊C4—791no—
1108C2×C4⋊C4—791no—
1109C2×C4⋊C4—791no—
1110C2×C4⋊C4—791no—
1111C2×C4⋊C4—791no—
1112C2×C4⋊C4—791no—
1113C2×C4⋊C4—791no—
1114C2×C4⋊C4—791no—
1115C2×C4⋊C4—791no—
1116C2×C4⋊C4—791no—
1117C2×C4⋊C4—791no—
1118C2×C4⋊C4—791no—
1119C2×C4⋊C4—791no—
1120C2×C4⋊C4—791no—
1121C2×C4⋊C4—791no—
1122C2×C4⋊C4—791no—
1123C2×C4⋊C4C22×D7911yescharacteristic
1124C2×C4⋊C4C22×D7911yescharacteristic
1125C2×C4⋊C4C22×D7911yescharacteristic
1126C2×C4⋊C4C22×D7911yescharacteristic
1127C2×C4⋊C4C22×D7911yescharacteristic
1128C2×C22⋊C4—791no—
1129C2×C22⋊C4—791no—
1130C2×C22⋊C4—791no—
1131C2×C22⋊C4—791no—
1132C2×C22⋊C4—791no—
1133C2×C22⋊C4—791no—
1134C2×C22⋊C4—791no—
1135C2×C22⋊C4—791no—
1136C2×C22⋊C4—791no—
1137C2×C22⋊C4—791no—
1138C2×C22⋊C4—791no—
1139C2×C22⋊C4—791no—
1140C2×C22⋊C4—791no—
1141C2×C22⋊C4—791no—
1142C2×C22⋊C4—791no—
1143C2×C22⋊C4—791no—
1144C2×C22⋊C4—791no—
1145C2×C22⋊C4—791no—
1146C2×C22⋊C4—791no—
1147C2×C22⋊C4—791no—
1148C2×C22⋊C4—791no—
1149C2×C22⋊C4—791no—
1150C2×C22⋊C4—791no—
1151C2×C22⋊C4—791no—
1152C2×C22⋊C4—791no—
1153C2×C22⋊C4—791no—
1154C2×C22⋊C4—791no—
1155C2×C22⋊C4—791no—
1156C2×C22⋊C4—791no—
1157C2×C22⋊C4—791no—
1158C2×C22⋊C4—791no—
1159C2×C22⋊C4—791no—
1160C2×C22⋊C4—791no—
1161C2×C22⋊C4—791no—
1162C2×C22⋊C4—791no—
1163C2×C22⋊C4—791no—
1164C2×C22⋊C4—791no—
1165C2×C22⋊C4—791no—
1166C2×C22⋊C4—791no—
1167C2×C22⋊C4—791no—
1168C2×C22⋊C4C22×D7911yescharacteristic
1169C2×C22⋊C4C22×D7911yescharacteristic
1170C2×C22⋊C4C22×D7911yescharacteristic
1171C2×C22⋊C4C22×D7911yescharacteristic
1172C2×C22⋊C4C22×D7911yescharacteristic
1173C2×C22⋊C4C22×D7911yescharacteristic
1174C2×C22⋊C4C22×D7911yescharacteristic
1175C2×C22⋊C4C22×D7911yescharacteristic
1176C2×C22⋊C4C22×D7911yescharacteristic
1177C2×C22⋊C4C22×D7911yescharacteristic
1178C2×C22⋊C4C22×D7911yescharacteristic
1179C2×C22⋊C4C22×D7911yescharacteristic
1180C2×C42—791no—
1181C2×C42—791no—
1182C2×C42—791no—
1183C2×C42—791no—
1184C2×C42—791no—
1185C2×C42C22×D7911yescharacteristic
1186C2×C42C22×D7911yescharacteristic
1187#95—791no—
1188#95—791no—
1189#95—791no—
1190#95—791no—
1191#95—791no—
1192#95—791no—
1193#95—791no—
1194#95—791no—
1195#95—791no—
1196#95—791no—
1197#95—791no—
1198#95—791no—
1199#95—791no—
1200#95—791no—
1201#95—791no—
1202#95—791no—
1203#95—791no—
1204#95—791no—
1205#95—791no—
1206#95—791no—
1207#95—791no—
1208#95—791no—
1209#95—791no—
1210#95—791no—
1211#95—791no—
1212#95—791no—
1213#95C22×D7911yescharacteristic
1214#95C22×D7911yescharacteristic
1215#95C22×D7911yescharacteristic
1216#95C22×D7911yescharacteristic
1217#95C22×D7911yescharacteristic
1218#95C22×D7911yescharacteristic
1219#95C22×D7911yescharacteristic
1220#95C22×D7911yescharacteristic
1221#95C22×D7911yescharacteristic
1222#95C22×D7911yescharacteristic
1223C24—3161no—
1224C24—3161no—
1225C24—3161no—
1226C24—3161no—
1227C24—791no—
1228C24—791no—
1229C24—791no—
1230C24—1582no—
1231C24—1582no—
1232C24—1582no—
1233C24C23×D7911yescharacteristic
1234C24C23×D7911yescharacteristic
1235C24C23×D7911yescharacteristic
1236#41—31616no—
1237C2×Q8—3161no—
1238C2×Q8—3161no—
1239C2×Q8—3161no—
1240C2×Q8—3161no—
1241C2×Q8—3161no—
1242C2×Q8—3161no—
1243C2×Q8—3161no—
1244C2×Q8—1582no—
1245C2×Q8—1582no—
1246C2×Q8—1582no—
1247C2×Q8—1582no—
1248C2×Q8—1582no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—3161no—
1259C2×D4—3161no—
1260C2×D4—3161no—
1261C2×D4—3161no—
1262C2×D4—3161no—
1263C2×D4—3161no—
1264C2×D4—3161no—
1265C2×D4—3161no—
1266C2×D4—3161no—
1267C2×D4—3161no—
1268C2×D4—3161no—
1269C2×D4—3161no—
1270C2×D4—3161no—
1271C2×D4—3161no—
1272C2×D4—794no—
1273C2×D4—1582no—
1274C2×D4—1582no—
1275C2×D4—1582no—
1276C2×D4—1582no—
1277C2×D4—1582no—
1278C2×D4—1582no—
1279C2×D4—1582no—
1280C2×D4—1582no—
1281C2×D4—1582no—
1282C2×D4—1582no—
1283C2×D4—1582no—
1284C2×D4—1582no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—3161no—
1295C22×C4—3161no—
1296C22×C4—3161no—
1297C22×C4—3161no—
1298C22×C4—3161no—
1299C22×C4—3161no—
1300C22×C4—3161no—
1301C22×C4—3161no—
1302C22×C4—3161no—
1303C22×C4—3161no—
1304C22×C4—3161no—
1305C22×C4—3161no—
1306C22×C4—31616no—
1307C22×C4—3161no—
1308C22×C4—794no—
1309C22×C4—794no—
1310C22×C4—791no—
1311C22×C4—791no—
1312C22×C4—791no—
1313C22×C4—791no—
1314C22×C4—791no—
1315C22×C4—791no—
1316C22×C4—791no—
1317C22×C4—791no—
1318C22×C4—791no—
1319C22×C4—791no—
1320C22×C4—791no—
1321C22×C4—791no—
1322C22×C4—791no—
1323C22×C4—1582no—
1324C22×C4—1582no—
1325C22×C4—1582no—
1326C22×C4—1582no—
1327C22×C4—1582no—
1328C22×C4—1582no—
1329C22×C4—1582no—
1330C22×C4—1582no—
1331C22×C4—1582no—
1332C22×C4C23×D7911yescharacteristic
1333C22×C4C23×D7911yescharacteristic
1334C22×C4C23×D7911yescharacteristic
1335C22×C4C23×D7911yescharacteristic
1336C22×C4C23×D7911yescharacteristic
1337C22×C4C23×D7911yescharacteristic
1338C22×C4C23×D7911yescharacteristic
1339C22×C4C23×D7911yescharacteristic
1340C22×C4C23×D7911yescharacteristic
1341C22×C4C23×D7911yescharacteristic
1342C22×C4C23×D7911yescharacteristic
1343C22×C4C23×D7911yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—3161no—
1350C4⋊C4—3161no—
1351C4⋊C4—3161no—
1352C4⋊C4—3161no—
1353C4⋊C4—3161no—
1354C4⋊C4—3161no—
1355C4⋊C4—3161no—
1356C4⋊C4—3161no—
1357C4⋊C4—3161no—
1358C4⋊C4—3161no—
1359C4⋊C4—3161no—
1360C4⋊C4—3161no—
1361C4⋊C4—794no—
1362C4⋊C4—1582no—
1363C4⋊C4—1582no—
1364C4⋊C4—1582no—
1365C4⋊C4—1582no—
1366C4⋊C4—1582no—
1367C4⋊C4—1582no—
1368C4⋊C4—1582no—
1369C4⋊C4—1582no—
1370C4⋊C4—1582no—
1371C4⋊C4—1582no—
1372C4⋊C4—1582no—
1373C4⋊C4—1582no—
1374C4⋊C4—1582no—
1375C4⋊C4—1582no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—3161no—
1389C22⋊C4—3161no—
1390C22⋊C4—3161no—
1391C22⋊C4—3161no—
1392C22⋊C4—3161no—
1393C22⋊C4—3161no—
1394C22⋊C4—3161no—
1395C22⋊C4—3161no—
1396C22⋊C4—3161no—
1397C22⋊C4—3161no—
1398C22⋊C4—3161no—
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—3161no—
1408C22⋊C4—794no—
1409C22⋊C4—794no—
1410C22⋊C4—1582no—
1411C22⋊C4—1582no—
1412C22⋊C4—1582no—
1413C22⋊C4—1582no—
1414C22⋊C4—1582no—
1415C22⋊C4—1582no—
1416C22⋊C4—1582no—
1417C22⋊C4—1582no—
1418C22⋊C4—1582no—
1419C22⋊C4—1582no—
1420C22⋊C4—1582no—
1421C22⋊C4—1582no—
1422C22⋊C4—1582no—
1423C22⋊C4—1582no—
1424C22⋊C4—1582no—
1425C22⋊C4—1582no—
1426C22⋊C4—1582no—
1427C22⋊C4—1582no—
1428C42—22no—
1429C42—3161no—
1430C42—3161no—
1431C42—1582no—
1432C42—1582no—
1433C42—1582no—
1434C42D4×D7914yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—3164no—
1456C23—3164no—
1457C23—3164no—
1458C23—3164no—
1459C23—3164no—
1460C23—3164no—
1461C23—3164no—
1462C23—792no—
1463C23—792no—
1464C23—792no—
1465C23—1581no—
1466C23—1581no—
1467C23—1581no—
1468C23—1581no—
1469C23—1581no—
1470C23—1581no—
1471C23—1581no—
1472C23—1581no—
1473C23—1581no—
1474C23—1581no—
1475C23—1581no—
1476C23—1581no—
1477C23—1581no—
1478C23—1581no—
1479C23—1581no—
1480C23—1581no—
1481C23—1581no—
1482C23—1581no—
1483C23#1457920812yes—
1484C23C24×D7911yescharacteristic
1485Q8—3164no—
1486Q8—3164no—
1487Q8—6322no—
1488Q8—6322no—
1489D4—44no—
1490D4—82no—
1491D4—82no—
1492D4—3164no—
1493D4—3164no—
1494D4—3164no—
1495D4—3164no—
1496D4—3164no—
1497D4—3164no—
1498D4—6322no—
1499D4—6322no—
1500D4—6322no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—3164no—
1538C2×C4—3164no—
1539C2×C4—3164no—
1540C2×C4—3164no—
1541C2×C4—3164no—
1542C2×C4—792no—
1543C2×C4—792no—
1544C2×C4—792no—
1545C2×C4—6322no—
1546C2×C4—6322no—
1547C2×C4—1588no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1581no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4—1581no—
1555C2×C4—1581no—
1556C2×C4—1581no—
1557C2×C4—1581no—
1558C2×C4—1581no—
1559C2×C4—1581no—
1560C2×C4—1581no—
1561C2×C4—1581no—
1562C2×C4—1581no—
1563C2×C4—1581no—
1564C2×C4—1581no—
1565C2×C4—1581no—
1566C2×C4—1581no—
1567C2×C4—1581no—
1568C2×C4—1581no—
1569C2×C4—1581no—
1570C2×C4—1581no—
1571C2×C4—1581no—
1572C2×C4—1581no—
1573C2×C4—1581no—
1574C2×C4—1581no—
1575C2×C4—1581no—
1576C2×C4—1581no—
1577C2×C4—1581no—
1578C2×C4—1581no—
1579C2×C4—1581no—
1580C2×C4—1581no—
1581C2×C4—1581no—
1582C2×C4—1581no—
1583C2×C4—1581no—
1584C2×C4C2×D4×D7912yes—
1585C2×C4C2×D4×D7912yes—
1586C2×C4C2×D4×D7912yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—31616no—
1609C22—3161no—
1610C22—3161no—
1611C22—3161no—
1612C22—3161no—
1613C22—3161no—
1614C22—3161no—
1615C22—3161no—
1616C22—3161no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—1582no—
1622C22—1582no—
1623C22—1582no—
1624C22—1582no—
1625C22—1582no—
1626C22—1582no—
1627C22—1582no—
1628C22—1582no—
1629C22—1582no—
1630C22C22×D4×D7911yescharacteristic
1631C22H(5,𝔽2)×D7911yescharacteristic
1632C22H(5,𝔽2)×D7911yescharacteristic
1633C22C2×#1457920811yescharacteristic
1634C22#1909939911yescharacteristic
1635C22#1909939911yescharacteristic
1636C22#1909939911yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—3161no—
1650C4—3161no—
1651C4—3161no—
1652C4—3161no—
1653C4—3161no—
1654C4—3161no—
1655C4—3161no—
1656C4—3161no—
1657C4—3161no—
1658C4—3161no—
1659C4—1582no—
1660C4—1582no—
1661C4—1582no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—3162no—
1666C2—3162no—
1667C2—3162no—
1668C2#2377673011yescharacteristic
1669C2#2377703411yescharacteristic
1670C2#2377707211yescharacteristic
1671C2#2377755811yescharacteristic
1672C2#2377759611yescharacteristic
1673C2#2377766911yescharacteristic
1674C2#2377767811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D79
commutator, socle, cosocleC23×C79C25
FittingC79×#2598C2
hypercenter#2598D79
hypocenterC79#36712
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C23 ◁ #2598

Complements

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

NH ≅ G/Ntype
1. C2×#19099184C2semidirect
2. C2×#19099072C2semidirect
3. #23771691C2semidirect
4. #23771686C2semidirect
5. #23769951C2semidirect
6. #23769940C2semidirect
7. #23769897C2semidirect
8. #23769886C2semidirect
9. #23769856C2semidirect
10. #23769807C2semidirect
11. #23769796C2semidirect
12. #23769781C2semidirect
13. #23769712C2semidirect
14. #23769706C2semidirect
15. #23769686C2semidirect
16. #23769678C2semidirect
17. #23769656C2semidirect
18. #23769637C2semidirect
19. #23769627C2semidirect
20. #23769605C2semidirect
21. #23769321C2semidirect
22. #23769243C2semidirect
23. #23769072C2semidirect
24. #23769008C2semidirect
25. #23768979C2semidirect
26. #23768754C2semidirect
27. #23768585C2semidirect
28. #23767026C2semidirect
29. #23767007C2semidirect
30. #23766031C2semidirect
31. C79×#2598C2semidirect
35. C2×#14579161C22semidirect
36. C2×#14579160C22semidirect
38. C2×#14579156C22semidirect
42. C2×#14579147C22semidirect
48. C2×#14579143C22semidirect
49. C2×#14579140C22semidirect
53. C2×#14579139C22semidirect
60. C2×#14579132C22semidirect
64. C2×C4×Dic158C22semidirect
69. #19098504C22semidirect
72. #19098499C22semidirect
73. #19098497C22semidirect
74. #19098497C22semidirect
75. #19098496C22semidirect
76. #19098495C22semidirect
79. #19098491C22semidirect
81. #19098490C22semidirect
83. #19098486C22semidirect
84. #19098486C22semidirect
85. #19098486C22semidirect
87. #19098484C22semidirect
88. #19098484C22semidirect
89. #19098483C22semidirect
90. #19098483C22semidirect
97. #19098479C22semidirect
101. #19098478C22semidirect
102. #19098478C22semidirect
103. #19098477C22semidirect
107. #19098475C22semidirect
108. #19098475C22semidirect
109. #19098475C22semidirect
113. #19098467C22semidirect
118. #19098460C22semidirect
119. #19098459C22semidirect
120. #19098459C22semidirect
127. #19098451C22semidirect
128. #19098451C22semidirect
129. #19098448C22semidirect
130. #19098448C22semidirect
131. #19098448C22semidirect
132. #19098448C22semidirect
133. #19098447C22semidirect
134. #19098446C22semidirect
135. #19098446C22semidirect
136. #19098444C22semidirect
146. #19098439C22semidirect
152. #19098437C22semidirect
153. #19098437C22semidirect
156. #19098436C22semidirect
157. #19098436C22semidirect
158. #19098436C22semidirect
161. #19098429C22semidirect
166. #19098422C22semidirect
168. #19098420C22semidirect
172. #19098410C22semidirect
173. #95×D79C22semidirect
175. C2×#117×C79C22semidirect
176. #400×C79C22semidirect
177. #399×C79C22semidirect
181. #388×C79C22semidirect
184. #386×C79C22semidirect
185. #386×C79C22semidirect
187. #385×C79C22semidirect
188. #383×C79C22semidirect
246. C4×D316D4semidirect
863. #2598D79semidirect
869. C79#36712semidirect
908. C2×#117C2×D79semidirect
910. #400C2×D79semidirect
914. #399C2×D79semidirect
974. #388C2×D79semidirect
995. #386C2×D79semidirect
996. #386C2×D79semidirect
1012. #385C2×D79semidirect
1013. #383C2×D79semidirect

Maximal subgroups

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

subgroupindex
C2×#190991842
C2×#190990722
#237716912
#237716862
#237699512
#237699402
#237698972
#237698862
#237698562
#237698072
#237697962
#237697812
#237697122
#237697062
#237696862
#237696782
#237696562
#237696372
#237696272
#237696052
#237693212
#237692432
#237690722
#237690082
#237689792
#237687542
#237685852
#237670262
#237670072
#237660312
C79×#25982
#3671279