Finite Group Databasebeta

← #33293860

Subgroups — #33293860

Order 18688.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618217C211yesmaximal, characteristic, complemented
2#22618214C211yesmaximal, characteristic, complemented
3#22617791C211yesmaximal, characteristic, complemented
4#22617560C211yesmaximal, characteristic, complemented
5#22617555C211yesmaximal, characteristic, complemented
6#22617554C211yesmaximal, characteristic, complemented
7#22617248C211yesmaximal, characteristic, complemented
8#22617204C211yesmaximal, characteristic, complemented
9#22617159C211yesmaximal, characteristic, complemented
10#22617052C211yesmaximal, characteristic, complemented
11#22616928C211yesmaximal, characteristic, complemented
12#22616730C211yesmaximal, characteristic, complemented
13#22616569C211yesmaximal, characteristic, complemented
14#22616565C211yesmaximal, characteristic, complemented
15#22616487C211yesmaximal, characteristic, complemented
16#22616370C211yesmaximal, characteristic, complemented
17#22616230C211yesmaximal, characteristic, complemented
18#22615644C211yesmaximal, characteristic, complemented
19#22615644C211yesmaximal, characteristic, complemented
20#22614323C211yesmaximal, characteristic, complemented
21#22614254C211yesmaximal, characteristic, complemented
22#22614175C211yesmaximal, characteristic, complemented
23#22614061C211yesmaximal, characteristic, complemented
24#22613475C211yesmaximal, characteristic, complemented
25#22613462C211yesmaximal, characteristic, complemented
26#22613411C211yesmaximal, characteristic, complemented
27#22613394C211yesmaximal, characteristic, complemented
28#22612584C211yesmaximal, characteristic, complemented
29#22612584C211yesmaximal, characteristic, complemented
30#386×D73C211yesmaximal, characteristic, complemented
31C73×#2781C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C2×#14556584C2211yescharacteristic, complemented
35C2×#14556579C2211yescharacteristic, complemented
36C2×#14556576C2211yescharacteristic
37C2×#14556576C2211yescharacteristic
38C2×#14556573C2211yescharacteristic, complemented
39C2×#14556569C2211yescharacteristic
40C2×#14556569C2211yescharacteristic, complemented
41C2×#14556568C2211yescharacteristic, complemented
42C2×#14556566C2211yescharacteristic
43C2×#14556566C2211yescharacteristic, complemented
44C2×#14556566C2211yescharacteristic, complemented
45C2×#14556565C2211yescharacteristic, complemented
46C2×#14556561C2211yescharacteristic
47C2×#14556561C2211yescharacteristic
48C2×#14556561C2211yescharacteristic
49C2×#14556561C2211yescharacteristic
50C2×#14556553C2211yescharacteristic
51C2×#14556553C2211yescharacteristic
52C2×C22⋊C4×D73C2211yescharacteristic
53C2×C22⋊C4×D73C2211yescharacteristic
54C2×C22⋊C4×D73C2211yescharacteristic
55C73⋊#401C2211yescharacteristic, complemented
56#17988529C2211yescharacteristic, complemented
57#17988528C2211yescharacteristic, complemented
58#17988526C2211yescharacteristic, complemented
59#17988526C2211yescharacteristic, complemented
60#17988525C2211yescharacteristic, complemented
61#17988522C2211yescharacteristic, complemented
62#17988518C2211yescharacteristic, complemented
63#17988516C2211yescharacteristic, complemented
64#17988516C2211yescharacteristic, complemented
65#17988516C2211yescharacteristic, complemented
66#17988516C2211yescharacteristic, complemented
67#17988514C2211yescharacteristic, complemented
68#17988513C2211yescharacteristic, complemented
69#17988512C2211yescharacteristic, complemented
70#17988512C2211yescharacteristic, complemented
71#17988509C2211yescharacteristic, complemented
72#17988509C2211yescharacteristic, complemented
73#17988505C2211yescharacteristic, complemented
74#17988505C2211yescharacteristic, complemented
75#17988505C2211yescharacteristic, complemented
76#17988504C2211yescharacteristic
77#17988504C2211yescharacteristic
78#17988504C2211yescharacteristic, complemented
79#17988504C2211yescharacteristic, complemented
80#17988502C2211yescharacteristic
81#17988502C2211yescharacteristic
82#17988502C2211yescharacteristic
83#17988502C2211yescharacteristic
84#17988502C2211yescharacteristic, complemented
85#17988502C2211yescharacteristic, complemented
86#17988500C2211yescharacteristic, complemented
87#17988499C2211yescharacteristic, complemented
88#17988497C2211yescharacteristic
89#17988497C2211yescharacteristic
90#17988496C2211yescharacteristic
91#17988496C2211yescharacteristic
92#17988496C2211yescharacteristic
93#17988496C2211yescharacteristic
94#17988496C2211yescharacteristic, complemented
95#17988495C2211yescharacteristic
96#17988495C2211yescharacteristic
97#17988491C2211yescharacteristic, complemented
98#17988489C2211yescharacteristic, complemented
99#17988489C2211yescharacteristic, complemented
100#17988487C2211yescharacteristic, complemented
101#17988487C2211yescharacteristic, complemented
102#17988487C2211yescharacteristic, complemented
103#17988487C2211yescharacteristic, complemented
104#17988482C2211yescharacteristic, complemented
105#17988480C2211yescharacteristic, complemented
106#17988480C2211yescharacteristic, complemented
107#17988479C2211yescharacteristic, complemented
108#17988479C2211yescharacteristic, complemented
109#17988478C2211yescharacteristic, complemented
110#17988478C2211yescharacteristic, complemented
111#17988477C2211yescharacteristic, complemented
112#17988477C2211yescharacteristic, complemented
113#17988477C2211yescharacteristic, complemented
114#17988477C2211yescharacteristic, complemented
115#17988476C2211yescharacteristic, complemented
116#17988476C2211yescharacteristic, complemented
117#17988476C2211yescharacteristic, complemented
118#17988476C2211yescharacteristic, complemented
119#17988475C2211yescharacteristic, complemented
120#17988472C2211yescharacteristic, complemented
121#17988472C2211yescharacteristic, complemented
122#17988471C2211yescharacteristic, complemented
123#17988468C2211yescharacteristic, complemented
124#17988467C2211yescharacteristic
125#17988466C2211yescharacteristic
126#17988465C2211yescharacteristic
127#17988465C2211yescharacteristic
128#17988465C2211yescharacteristic
129#17988465C2211yescharacteristic
130#17988465C2211yescharacteristic
131#17988465C2211yescharacteristic
132#17988465C2211yescharacteristic, complemented
133#17988465C2211yescharacteristic, complemented
134#17988465C2211yescharacteristic, complemented
135#17988465C2211yescharacteristic, complemented
136#17988465C2211yescharacteristic, complemented
137#17988465C2211yescharacteristic, complemented
138#17988464C2211yescharacteristic
139#17988464C2211yescharacteristic, complemented
140#17988464C2211yescharacteristic, complemented
141#17988463C2211yescharacteristic
142#17988463C2211yescharacteristic
143#17988463C2211yescharacteristic, complemented
144#17988463C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988461C2211yescharacteristic
147#17988461C2211yescharacteristic
148#17988461C2211yescharacteristic
149#17988461C2211yescharacteristic, complemented
150#17988461C2211yescharacteristic, complemented
151#17988460C2211yescharacteristic, complemented
152#17988458C2211yescharacteristic
153#17988458C2211yescharacteristic, complemented
154#17988454C2211yescharacteristic, complemented
155#17988449C2211yescharacteristic
156#17988449C2211yescharacteristic
157#17988449C2211yescharacteristic, complemented
158#17988446C2211yescharacteristic
159#17988446C2211yescharacteristic, complemented
160#17988445C2211yescharacteristic, complemented
161#17988444C2211yescharacteristic
162#17988444C2211yescharacteristic, complemented
163#17988444C2211yescharacteristic, complemented
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168C4×#11924005C2211yescharacteristic
169C4×#11924005C2211yescharacteristic
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172#400×C73C2211yescharacteristic, complemented
173#398×C73C2211yescharacteristic, complemented
174#397×C73C2211yescharacteristic, complemented
175#396×C73C2211yescharacteristic, complemented
176#394×C73C2211yescharacteristic
177#394×C73C2211yescharacteristic
178#388×C73C2211yescharacteristic, complemented
179#388×C73C2211yescharacteristic, complemented
180#388×C73C2211yescharacteristic, complemented
181#388×C73C2211yescharacteristic, complemented
182#387×C73C2211yescharacteristic, complemented
183#386×C73C2211yescharacteristic
184#385×C73C2211yescharacteristic, complemented
185#382×C73C2211yescharacteristic, complemented
186#380×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×Dic146C2311yescharacteristic
190C22×D292C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C2×D4×D73—24no—
205C2×D4×D73—42no—
206C2×D4×D73—42no—
207C23×Dic73C2311yescharacteristic
208C22×C4×D73—42no—
209C22×C4×D73—42no—
210C22×C4×D73—42no—
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220#14556584—42no—
221#14556579—42no—
222#14556576—42no—
223#14556576—42no—
224#14556573—42no—
225#14556569—42no—
226#14556569—42no—
227#14556568—42no—
228#14556566—42no—
229#14556566—42no—
230#14556566—42no—
231#14556565—42no—
232#14556561—24no—
233#14556561—24no—
234#14556561—42no—
235#14556561—42no—
236#14556553—42no—
237#14556553—42no—
238C2×C4⋊Dic73C2311yescharacteristic
239C2×C4⋊Dic73C2311yescharacteristic
240C2×C4⋊Dic73C2311yescharacteristic
241C2×C4⋊Dic73C2311yescharacteristic
242C2×#11924007C2311yescharacteristic
243C2×#11924007C2311yescharacteristic
244C2×#11924007C2311yescharacteristic
245C2×#11924007C2311yescharacteristic
246C2×#11924007C2311yescharacteristic
247C2×#11924007C2311yescharacteristic
248C2×#11924007C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×#11924005C2311yescharacteristic
260C2×#11924005C2311yescharacteristic
261C2×#11924005C2311yescharacteristic
262C2×#11924005C2311yescharacteristic
263C2×#11924005C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C2×#11924005C2311yescharacteristic
278C2×#11924005C2311yescharacteristic
279C2×#11924005C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C22⋊C4×D73—42no—
300C22⋊C4×D73—42no—
301C22⋊C4×D73—42no—
302C2×C4×Dic73C2311yescharacteristic
303C2×C4×Dic73C2311yescharacteristic
304C2×C4×Dic73C2311yescharacteristic
305C2×C4×Dic73C2311yescharacteristic
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334C22×D4×C73C2311yescharacteristic
335C23×C4×C73C2311yescharacteristic
336C2×C4⋊C4×C73C2311yescharacteristic
337C2×C4⋊C4×C73C2311yescharacteristic
338C2×C4⋊C4×C73C2311yescharacteristic
339C2×C4⋊C4×C73C2311yescharacteristic
340C2×C4⋊C4×C73C2311yescharacteristic
341C2×C4⋊C4×C73C2311yescharacteristic
342C2×C4⋊C4×C73C2311yescharacteristic
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C42×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C23×D73—22no—
370C23×D73—22no—
371C23×D73—22no—
372C23×D73—22no—
373C23×D73—22no—
374C23×D73—41no—
375C23×D73—41no—
376C23×D73—41no—
377C23×D73—41no—
378C23×D73—41no—
379C23×D73—41no—
380C23×D73—41no—
381C23×D73—41no—
382C23×D73#4114yes—
383C23×D73C2411yescharacteristic
384C23×D73C2411yescharacteristic
385C23×D73C2411yescharacteristic
386C23×D73C2411yescharacteristic
387C23×D73C2411yescharacteristic
388C2×Dic146—22no—
389C2×Dic146—41no—
390C2×Dic146—41no—
391C2×D292—22no—
392C2×D292—22no—
393C2×D292—22no—
394C2×D292—22no—
395C2×D292—22no—
396C2×D292—22no—
397C2×D292—22no—
398C2×D292—22no—
399C2×D292—22no—
400C2×D292—22no—
401C2×D292—41no—
402C2×D292—41no—
403C2×D292—41no—
404C2×D292—41no—
405C2×D292—41no—
406C2×D292—41no—
407C2×D292—41no—
408C2×D292—41no—
409C2×D292—41no—
410C2×D292—41no—
411C2×D292—41no—
412C2×D292—41no—
413C2×D292—41no—
414C2×D292—41no—
415C2×C22⋊D73—22no—
416C2×C22⋊D73—22no—
417C2×C22⋊D73—22no—
418C2×C22⋊D73—22no—
419C2×C22⋊D73—41no—
420C2×C22⋊D73—41no—
421C2×C22⋊D73—41no—
422C2×C22⋊D73—41no—
423C2×C22⋊D73—41no—
424C2×C22⋊D73—41no—
425C2×C22⋊D73—41no—
426C2×C22⋊D73—41no—
427C2×C22⋊D73—41no—
428C2×C22⋊D73—41no—
429C2×C22⋊D73—41no—
430C2×C22⋊D73—41no—
431C2×C22⋊D73—41no—
432C2×C22⋊D73—41no—
433D4×D73—416no—
434C22×Dic73—22no—
435C22×Dic73—41no—
436C22×Dic73—41no—
437C22×Dic73C2411yescharacteristic
438C22×Dic73C2411yescharacteristic
439C22×Dic73C2411yescharacteristic
440C22×Dic73C2411yescharacteristic
441C22×Dic73C2411yescharacteristic
442C22×Dic73C2411yescharacteristic
443C22×Dic73C2411yescharacteristic
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C2×C4×D73—22no—
449C2×C4×D73—22no—
450C2×C4×D73—22no—
451C2×C4×D73—22no—
452C2×C4×D73—22no—
453C2×C4×D73—22no—
454C2×C4×D73—22no—
455C2×C4×D73—22no—
456C2×C4×D73—22no—
457C2×C4×D73—22no—
458C2×C4×D73—22no—
459C2×C4×D73—41no—
460C2×C4×D73—41no—
461C2×C4×D73—41no—
462C2×C4×D73—41no—
463C2×C4×D73—41no—
464C2×C4×D73—41no—
465C2×C4×D73—416no—
466C2×C4×D73—41no—
467C2×C4×D73—41no—
468C2×C4×D73—41no—
469C2×C4×D73—41no—
470C2×C4×D73—41no—
471C2×C4×D73—41no—
472C2×C4×D73—41no—
473C2×C4×D73—41no—
474C2×C4×D73—41no—
475C2×C4×D73—41no—
476C4⋊Dic73—22no—
477C4⋊Dic73—41no—
478C4⋊Dic73—41no—
479C4⋊Dic73—41no—
480#11924007—22no—
481#11924007—22no—
482#11924007—41no—
483#11924007—41no—
484#11924007—41no—
485#11924007—41no—
486#11924007—41no—
487#11924007—41no—
488#11924007—41no—
489#11924007—41no—
490C22⋊Dic73—22no—
491C22⋊Dic73—41no—
492C22⋊Dic73—41no—
493C22⋊Dic73—41no—
494C22⋊Dic73—41no—
495C22⋊Dic73—41no—
496C22⋊Dic73—41no—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—22no—
502#11924005—22no—
503#11924005—22no—
504#11924005—22no—
505#11924005—22no—
506#11924005—22no—
507#11924005—22no—
508#11924005—22no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516#11924005—41no—
517#11924005—41no—
518#11924005—41no—
519#11924005—41no—
520#11924005—41no—
521#11924005—41no—
522#11924005—41no—
523#11924005—41no—
524#11924005—41no—
525#11924005—41no—
526#11924005—41no—
527#11924005—41no—
528#11924005—41no—
529#11924005—41no—
530#11924005—41no—
531#11924005—41no—
532#11924005—41no—
533#11924005—41no—
534#11924005—41no—
535#11924005—41no—
536#11924005—41no—
537C4×Dic73—41no—
538C4×Dic73—41no—
539C4×Dic73—41no—
540C4×Dic73—41no—
541C24×C73C2411yescharacteristic
542C24×C73C2411yescharacteristic
543C2×D4×C73—22no—
544C2×D4×C73—41no—
545C2×D4×C73—41no—
546C22×C4×C73—22no—
547C22×C4×C73—41no—
548C22×C4×C73—41no—
549C22×C4×C73C2411yescharacteristic
550C22×C4×C73C2411yescharacteristic
551C22×C4×C73C2411yescharacteristic
552C22×C4×C73C2411yescharacteristic
553C22×C4×C73C2411yescharacteristic
554C22×C4×C73C2411yescharacteristic
555C22×C4×C73C2411yescharacteristic
556C22×C4×C73C2411yescharacteristic
557C22×C4×C73C2411yescharacteristic
558C22×C4×C73C2411yescharacteristic
559C22×C4×C73C2411yescharacteristic
560C22×C4×C73C2411yescharacteristic
561C22×C4×C73C2411yescharacteristic
562C4⋊C4×C73—22no—
563C4⋊C4×C73—41no—
564C4⋊C4×C73—41no—
565C4⋊C4×C73—41no—
566C4⋊C4×C73—41no—
567C4⋊C4×C73—41no—
568C4⋊C4×C73—41no—
569C4⋊C4×C73—41no—
570C22⋊C4×C73—22no—
571C22⋊C4×C73—22no—
572C22⋊C4×C73—22no—
573C22⋊C4×C73—41no—
574C22⋊C4×C73—41no—
575C22⋊C4×C73—41no—
576C22⋊C4×C73—41no—
577C22⋊C4×C73—41no—
578C22⋊C4×C73—41no—
579C22⋊C4×C73—41no—
580C22⋊C4×C73—41no—
581C42×C73—41no—
582C42×C73—41no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—21no—
586C23×C73—21no—
587C23×C73—21no—
588C23×C73—21no—
589C23×C73—21no—
590C23×C73—21no—
591C23×C73—21no—
592C23×C73—21no—
593C23×C73—21no—
594C23×C73—21no—
595C23×C73—21no—
596C23×C73C2×#4112yes—
597C23×C73C2511yescharacteristic
598C22×D73—21no—
599C22×D73—21no—
600C22×D73—21no—
601C22×D73—21no—
602C22×D73—21no—
603C22×D73—21no—
604C22×D73—21no—
605C22×D73—21no—
606C22×D73—21no—
607C22×D73—21no—
608C22×D73—28no—
609C22×D73—21no—
610C22×D73—21no—
611C22×D73—21no—
612C22×D73—21no—
613C22×D73—21no—
614C22×D73—21no—
615C22×D73—21no—
616C22×D73—21no—
617C22×D73—21no—
618C22×D73—21no—
619C22×D73—21no—
620C22×D73—21no—
621C22×D73—21no—
622C22×D73—21no—
623C22×D73—21no—
624C22×D73—21no—
625C22×D73—21no—
626C22×D73—21no—
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—44no—
631C22×D73—44no—
632C22×D73—44no—
633C22×D73—44no—
634C22×D73—44no—
635C22×D73—44no—
636C22×D73—44no—
637C22×D73—44no—
638C22×D73—44no—
639C22×D73—82no—
640C22×D73—82no—
641C22×D73—82no—
642C22×D73—82no—
643C22×D73C2×#4112yes—
644C22×D73C2×#4112yes—
645C22×D73H(5,𝔽2)12yes—
646C22×D73H(5,𝔽2)12yes—
647D4×C73—44no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—21no—
651C2×C4×C73—21no—
652C2×C4×C73—21no—
653C2×C4×C73—21no—
654C2×C4×C73—21no—
655C2×C4×C73—21no—
656C2×C4×C73—21no—
657C2×C4×C73—21no—
658C2×C4×C73—21no—
659C2×C4×C73—21no—
660C2×C4×C73—21no—
661C2×C4×C73—21no—
662C2×C4×C73—21no—
663C2×C4×C73—21no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—44no—
687C2×C4×C73H(5,𝔽2)12yes—
688C22⋊D73—44no—
689C22⋊D73—44no—
690C22⋊D73—82no—
691C22⋊D73—82no—
692C22⋊D73—82no—
693C22⋊D73—82no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—21no—
701C2×Dic73—21no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—44no—
727C2×Dic73H(5,𝔽2)12yes—
728D292—44no—
729D292—44no—
730D292—44no—
731D292—82no—
732D292—82no—
733D292—82no—
734D292—82no—
735D292—82no—
736C4×D73—44no—
737C4×D73—44no—
738C4×D73—44no—
739C4×D73—44no—
740C4×D73—44no—
741C4×D73—82no—
742C4×D73—82no—
743C4×D73—82no—
744C4×D73—82no—
745Dic146—82no—
746C22×C73—22no—
747C22×C73—22no—
748C22×C73—22no—
749C22×C73—41no—
750C22×C73—41no—
751C22×C73—41no—
752C22×C73—41no—
753C22×C73—41no—
754C22×C73—41no—
755C22×C73—41no—
756C22×C73—41no—
757C22×C73—41no—
758C22×C73—41no—
759C22×C73—41no—
760C22×C73C22×#4111yescharacteristic
761C22×C73C2×H(5,𝔽2)11yescharacteristic
762C22×C73C2×H(5,𝔽2)11yescharacteristic
763C22×C73C2×H(5,𝔽2)11yescharacteristic
764C22×C73C2×H(5,𝔽2)11yescharacteristic
765C22×C73#58511yescharacteristic
766C22×C73#58511yescharacteristic
767C2×D73—22no—
768C2×D73—22no—
769C2×D73—22no—
770C2×D73—22no—
771C2×D73—22no—
772C2×D73—22no—
773C2×D73—22no—
774C2×D73—22no—
775C2×D73—22no—
776C2×D73—416no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
780C2×D73—41no—
781C2×D73—41no—
782C2×D73—41no—
783C2×D73—41no—
784C2×D73—41no—
785C2×D73—41no—
786C2×D73—41no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—88no—
803C2×D73#53814yes—
804C4×C73—22no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817Dic73—22no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828#36758—731nomaximal, Sylow
829C2×C73—42no—
830C2×C73—81no—
831C2×C73C2×#53811yescharacteristic
832C2×C73#350511yescharacteristic
833C2×C73#350511yescharacteristic
834C2×C73#353211yescharacteristic
835C2×C73#353311yescharacteristic
836C2×C73#354211yescharacteristic
837C2×C73#354211yescharacteristic
838D73—24no—
839D73—42no—
840D73—81no—
841D73—81no—
842D73—81no—
843#2848—731no—
844#2847—731no—
845#2797—731no—
846#2781D7311yescharacteristic, complemented
847#2779—731no—
848#2778—731no—
849#2778—731no—
850#2756—731no—
851#2753—731no—
852#2749—731no—
853#2741—731no—
854#2730—731no—
855#2714—731no—
856#2703—731no—
857#2702—731no—
858#2696—731no—
859#2688—731no—
860#2676—731no—
861#2613—731no—
862#2613—731no—
863#2493—731no—
864#2488—731no—
865#2480—731no—
866#2472—731no—
867#2425—731no—
868#2424—731no—
869#2419—731no—
870#2418—731no—
871#2321—731no—
872#2321—731no—
873C2×#386—731no—
874C73#3675811yescharacteristic, complemented, Sylow
875C23×D4—731no—
876C24×C4—731no—
877C2×#126—731no—
878C2×#124—731no—
879C2×#123—731no—
880C2×#123—731no—
881C2×#123—731no—
882C2×C22⋊Q8—731no—
883C2×C22⋊Q8—731no—
884C2×C22⋊Q8—731no—
885C2×#121—731no—
886C2×#121—731no—
887C2×#121—731no—
888C2×#121—731no—
889C2×#120—731no—
890C2×#120—731no—
891C2×#120—731no—
892C2×#120—731no—
893C2×C4×D4—731no—
894C2×C4×D4—731no—
895C22×C22⋊C4—731no—
896C22×C22⋊C4—731no—
897C22×C22⋊C4—731no—
898#401—731no—
899#400—731no—
900#400—731no—
901#400—731no—
902#400—731no—
903#400—731no—
904#400C2×D7311yescharacteristic, complemented
905#399—731no—
906#398—731no—
907#398C2×D7311yescharacteristic, complemented
908#397—731no—
909#397—731no—
910#397—731no—
911#397—731no—
912#397—731no—
913#397—731no—
914#397—731no—
915#397—731no—
916#397C2×D7311yescharacteristic, complemented
917#396—731no—
918#396—731no—
919#396C2×D7311yescharacteristic, complemented
920#394—731no—
921#394—731no—
922#394—731no—
923#394—731no—
924#394—731no—
925#394—731no—
926#394—731no—
927#394—731no—
928#394—731no—
929#394—731no—
930#394—731no—
931#394—731no—
932#394—731no—
933#394C2×D7311yescharacteristic
934#394C2×D7311yescharacteristic
935#393—731no—
936#393—731no—
937#392—731no—
938#392—731no—
939#392—731no—
940#392—731no—
941#392—731no—
942#392—731no—
943#392—731no—
944#392—731no—
945#392—731no—
946#391—731no—
947#390—731no—
948#390—731no—
949#390—731no—
950#390—731no—
951#390—731no—
952#390—731no—
953#389—731no—
954#388—731no—
955#388—731no—
956#388—731no—
957#388—731no—
958#388—731no—
959#388—731no—
960#388—731no—
961#388—731no—
962#388—731no—
963#388—731no—
964#388—731no—
965#388—731no—
966#388—731no—
967#388—731no—
968#388—731no—
969#388C2×D7311yescharacteristic, complemented
970#388C2×D7311yescharacteristic, complemented
971#388C2×D7311yescharacteristic, complemented
972#388C2×D7311yescharacteristic, complemented
973#387—731no—
974#387—731no—
975#387—731no—
976#387—731no—
977#387C2×D7311yescharacteristic, complemented
978#386—731no—
979#386—731no—
980#386—731no—
981#386—731no—
982#386—731no—
983#386—731no—
984#386—731no—
985#386—731no—
986#386—731no—
987#386—731no—
988#386—731no—
989#386—731no—
990#386—731no—
991#386—731no—
992#386—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386—731no—
999#386—731no—
1000#386C2×D7311yescharacteristic
1001#385—731no—
1002#385—731no—
1003#385—731no—
1004#385—731no—
1005#385—731no—
1006#385—731no—
1007#385—731no—
1008#385—731no—
1009#385C2×D7311yescharacteristic, complemented
1010#383—731no—
1011#382C2×D7311yescharacteristic, complemented
1012#381—731no—
1013#381—731no—
1014#381—731no—
1015#380—731no—
1016#380—731no—
1017#380—731no—
1018#380—731no—
1019#380—731no—
1020#380—731no—
1021#380C2×D7311yescharacteristic, complemented
1022#379—731no—
1023#379—731no—
1024#379—731no—
1025#379—731no—
1026C4×C22⋊C4—731no—
1027C4×C22⋊C4—731no—
1028C2×#95—731no—
1029C2×#95—731no—
1030C25—731no—
1031C25—731no—
1032C22×Q8—731no—
1033C22×D4—2922no—
1034C22×D4—2922no—
1035C22×D4—731no—
1036C22×D4—731no—
1037C22×D4—731no—
1038C22×D4—731no—
1039C22×D4—731no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—731no—
1043C22×D4—731no—
1044C22×D4—731no—
1045C22×D4—731no—
1046C22×D4—731no—
1047C22×D4—731no—
1048C22×D4—731no—
1049C22×D4—1464no—
1050C22×D4C22×D7311yescharacteristic
1051C23×C4—2922no—
1052C23×C4—2922no—
1053C23×C4—2922no—
1054C23×C4—731no—
1055C23×C4—731no—
1056C23×C4—731no—
1057C23×C4—731no—
1058C23×C4—731no—
1059C23×C4—731no—
1060C23×C4—731no—
1061C23×C4—731no—
1062C23×C4—731no—
1063C23×C4—731no—
1064C23×C4C22×D7311yescharacteristic
1065#126—2922no—
1066#124—2922no—
1067#123—2922no—
1068#123—2922no—
1069#123—2922no—
1070C22⋊Q8—2922no—
1071C22⋊Q8—2922no—
1072C22⋊Q8—2922no—
1073#121—2922no—
1074#121—2922no—
1075#121—2922no—
1076#121—2922no—
1077#120—2922no—
1078#120—2922no—
1079#120—1464no—
1080#120—1464no—
1081C4×D4—2922no—
1082C4×D4—2922no—
1083C2×C4⋊C4—731no—
1084C2×C4⋊C4—731no—
1085C2×C4⋊C4—731no—
1086C2×C4⋊C4—731no—
1087C2×C4⋊C4—731no—
1088C2×C4⋊C4—731no—
1089C2×C4⋊C4—731no—
1090C2×C4⋊C4—731no—
1091C2×C4⋊C4—731no—
1092C2×C4⋊C4—731no—
1093C2×C4⋊C4—731no—
1094C2×C4⋊C4—731no—
1095C2×C4⋊C4—731no—
1096C2×C4⋊C4—731no—
1097C2×C4⋊C4C22×D7311yescharacteristic
1098C2×C4⋊C4C22×D7311yescharacteristic
1099C2×C4⋊C4C22×D7311yescharacteristic
1100C2×C4⋊C4C22×D7311yescharacteristic
1101C2×C4⋊C4C22×D7311yescharacteristic
1102C2×C4⋊C4C22×D7311yescharacteristic
1103C2×C4⋊C4C22×D7311yescharacteristic
1104C2×C4⋊C4C22×D7311yescharacteristic
1105C2×C22⋊C4—2922no—
1106C2×C22⋊C4—2922no—
1107C2×C22⋊C4—2922no—
1108C2×C22⋊C4—731no—
1109C2×C22⋊C4—731no—
1110C2×C22⋊C4—731no—
1111C2×C22⋊C4—731no—
1112C2×C22⋊C4—731no—
1113C2×C22⋊C4—731no—
1114C2×C22⋊C4—731no—
1115C2×C22⋊C4—731no—
1116C2×C22⋊C4—731no—
1117C2×C22⋊C4—731no—
1118C2×C22⋊C4—731no—
1119C2×C22⋊C4—731no—
1120C2×C22⋊C4—731no—
1121C2×C22⋊C4—731no—
1122C2×C22⋊C4—731no—
1123C2×C22⋊C4—731no—
1124C2×C22⋊C4—731no—
1125C2×C22⋊C4—731no—
1126C2×C22⋊C4—731no—
1127C2×C22⋊C4—731no—
1128C2×C22⋊C4—731no—
1129C2×C22⋊C4—731no—
1130C2×C22⋊C4—731no—
1131C2×C22⋊C4—731no—
1132C2×C22⋊C4—731no—
1133C2×C22⋊C4—731no—
1134C2×C22⋊C4—731no—
1135C2×C22⋊C4—731no—
1136C2×C22⋊C4—731no—
1137C2×C22⋊C4—731no—
1138C2×C22⋊C4—731no—
1139C2×C22⋊C4—731no—
1140C2×C22⋊C4—731no—
1141C2×C22⋊C4—731no—
1142C2×C22⋊C4—731no—
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
1147C2×C22⋊C4—731no—
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4C22×D7311yescharacteristic
1156C2×C22⋊C4C22×D7311yescharacteristic
1157C2×C22⋊C4C22×D7311yescharacteristic
1158C2×C22⋊C4C22×D7311yescharacteristic
1159C2×C22⋊C4C22×D7311yescharacteristic
1160C2×C22⋊C4C22×D7311yescharacteristic
1161C2×C22⋊C4C22×D7311yescharacteristic
1162C2×C22⋊C4C22×D7311yescharacteristic
1163C2×C22⋊C4C22×D7311yescharacteristic
1164C2×C22⋊C4C22×D7311yescharacteristic
1165C2×C22⋊C4C22×D7311yescharacteristic
1166C2×C42—731no—
1167C2×C42—731no—
1168C2×C42—731no—
1169C2×C42—731no—
1170C2×C42C22×D7311yescharacteristic
1171C2×C42C22×D7311yescharacteristic
1172#95—731no—
1173#95—731no—
1174#95—731no—
1175#95—731no—
1176#95—731no—
1177#95—731no—
1178#95—731no—
1179#95—731no—
1180#95—731no—
1181#95—731no—
1182#95—731no—
1183#95—731no—
1184#95—731no—
1185#95—731no—
1186#95—731no—
1187#95—731no—
1188#95—731no—
1189#95—731no—
1190#95—731no—
1191#95—731no—
1192#95—731no—
1193#95—731no—
1194#95—731no—
1195#95—731no—
1196#95—731no—
1197#95—731no—
1198#95—731no—
1199#95—731no—
1200#95C22×D7311yescharacteristic
1201#95C22×D7311yescharacteristic
1202#95C22×D7311yescharacteristic
1203#95C22×D7311yescharacteristic
1204#95C22×D7311yescharacteristic
1205#95C22×D7311yescharacteristic
1206#95C22×D7311yescharacteristic
1207#95C22×D7311yescharacteristic
1208#95C22×D7311yescharacteristic
1209#95C22×D7311yescharacteristic
1210#95C22×D7311yescharacteristic
1211#95C22×D7311yescharacteristic
1212C24—2921no—
1213C24—2921no—
1214C24—2921no—
1215C24—2921no—
1216C24—2921no—
1217C24—2921no—
1218C24—2921no—
1219C24—2921no—
1220C24—734no—
1221C24—731no—
1222C24—731no—
1223C24—731no—
1224C24—731no—
1225C24—731no—
1226C24—1462no—
1227C24—1462no—
1228C24—1462no—
1229C24—1462no—
1230C24—1462no—
1231C24C23×D7311yescharacteristic
1232C24C23×D7311yescharacteristic
1233C2×Q8—2921no—
1234C2×Q8—2921no—
1235C2×Q8—1462no—
1236C2×D4—22no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—2921no—
1240C2×D4—2921no—
1241C2×D4—2921no—
1242C2×D4—2921no—
1243C2×D4—2921no—
1244C2×D4—2921no—
1245C2×D4—2921no—
1246C2×D4—2921no—
1247C2×D4—2921no—
1248C2×D4—2921no—
1249C2×D4—2921no—
1250C2×D4—2921no—
1251C2×D4—2921no—
1252C2×D4—2921no—
1253C2×D4—29216no—
1254C2×D4—2921no—
1255C2×D4—2921no—
1256C2×D4—2921no—
1257C2×D4—2921no—
1258C2×D4—2921no—
1259C2×D4—2921no—
1260C2×D4—2921no—
1261C2×D4—2921no—
1262C2×D4—2921no—
1263C2×D4—2921no—
1264C2×D4—2921no—
1265C2×D4—2921no—
1266C2×D4—2921no—
1267C2×D4—2921no—
1268C2×D4—1462no—
1269C2×D4—1462no—
1270C2×D4—1462no—
1271C2×D4—1462no—
1272C2×D4—1462no—
1273C2×D4—1462no—
1274C2×D4—1462no—
1275C2×D4—1462no—
1276C2×D4—1462no—
1277C2×D4—1462no—
1278C2×D4—1462no—
1279C2×D4—1462no—
1280C2×D4—1462no—
1281C2×D4—1462no—
1282C22×C4—22no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—2921no—
1286C22×C4—2921no—
1287C22×C4—2921no—
1288C22×C4—2921no—
1289C22×C4—2921no—
1290C22×C4—2921no—
1291C22×C4—2921no—
1292C22×C4—2921no—
1293C22×C4—2921no—
1294C22×C4—2921no—
1295C22×C4—2921no—
1296C22×C4—2921no—
1297C22×C4—2921no—
1298C22×C4—2921no—
1299C22×C4—2921no—
1300C22×C4—2921no—
1301C22×C4—29216no—
1302C22×C4—2921no—
1303C22×C4—2921no—
1304C22×C4—731no—
1305C22×C4—731no—
1306C22×C4—731no—
1307C22×C4—731no—
1308C22×C4—731no—
1309C22×C4—731no—
1310C22×C4—731no—
1311C22×C4—731no—
1312C22×C4—731no—
1313C22×C4—731no—
1314C22×C4—731no—
1315C22×C4—1462no—
1316C22×C4—1462no—
1317C22×C4—1462no—
1318C22×C4—1462no—
1319C22×C4—1462no—
1320C22×C4—1462no—
1321C22×C4—1462no—
1322C22×C4—1462no—
1323C22×C4—1462no—
1324C22×C4—1462no—
1325C22×C4—1462no—
1326C22×C4—1462no—
1327C22×C4C23×D7311yescharacteristic
1328C22×C4C23×D7311yescharacteristic
1329C22×C4C23×D7311yescharacteristic
1330C22×C4C23×D7311yescharacteristic
1331C22×C4C23×D7311yescharacteristic
1332C22×C4C23×D7311yescharacteristic
1333C22×C4C23×D7311yescharacteristic
1334C22×C4C23×D7311yescharacteristic
1335C22×C4C23×D7311yescharacteristic
1336C22×C4C23×D7311yescharacteristic
1337C22×C4C23×D7311yescharacteristic
1338C22×C4C23×D7311yescharacteristic
1339C22×C4C23×D7311yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—2921no—
1349C4⋊C4—2921no—
1350C4⋊C4—2921no—
1351C4⋊C4—2921no—
1352C4⋊C4—2921no—
1353C4⋊C4—2921no—
1354C4⋊C4—2921no—
1355C4⋊C4—2921no—
1356C4⋊C4—2921no—
1357C4⋊C4—2921no—
1358C4⋊C4—2921no—
1359C4⋊C4—1462no—
1360C4⋊C4—1462no—
1361C4⋊C4—1462no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—2921no—
1374C22⋊C4—2921no—
1375C22⋊C4—2921no—
1376C22⋊C4—2921no—
1377C22⋊C4—2921no—
1378C22⋊C4—2921no—
1379C22⋊C4—2921no—
1380C22⋊C4—2921no—
1381C22⋊C4—2921no—
1382C22⋊C4—2921no—
1383C22⋊C4—2921no—
1384C22⋊C4—2921no—
1385C22⋊C4—2921no—
1386C22⋊C4—2921no—
1387C22⋊C4—2921no—
1388C22⋊C4—2921no—
1389C22⋊C4—2921no—
1390C22⋊C4—2921no—
1391C22⋊C4—2921no—
1392C22⋊C4—2921no—
1393C22⋊C4—2921no—
1394C22⋊C4—2921no—
1395C22⋊C4—2921no—
1396C22⋊C4—2921no—
1397C22⋊C4—2921no—
1398C22⋊C4—2921no—
1399C22⋊C4—2921no—
1400C22⋊C4—2921no—
1401C22⋊C4—2921no—
1402C22⋊C4—2921no—
1403C22⋊C4—2921no—
1404C22⋊C4—2921no—
1405C22⋊C4—2921no—
1406C22⋊C4—2921no—
1407C22⋊C4—1462no—
1408C22⋊C4—1462no—
1409C22⋊C4—1462no—
1410C22⋊C4—1462no—
1411C22⋊C4—1462no—
1412C22⋊C4—1462no—
1413C22⋊C4—1462no—
1414C22⋊C4—1462no—
1415C22⋊C4—1462no—
1416C22⋊C4—1462no—
1417C22⋊C4—1462no—
1418C22⋊C4—1462no—
1419C22⋊C4—1462no—
1420C42—41no—
1421C42—41no—
1422C42—2921no—
1423C42—2921no—
1424C42—2921no—
1425C42—2921no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—2924no—
1440C23—2924no—
1441C23—2924no—
1442C23—2924no—
1443C23—2924no—
1444C23—2924no—
1445C23—2924no—
1446C23—2924no—
1447C23—2924no—
1448C23—5842no—
1449C23—5842no—
1450C23—5842no—
1451C23—5842no—
1452C23—732no—
1453C23—732no—
1454C23—732no—
1455C23—732no—
1456C23—1468no—
1457C23—1461no—
1458C23—1461no—
1459C23—1461no—
1460C23—1461no—
1461C23—1461no—
1462C23—1461no—
1463C23—1461no—
1464C23—1461no—
1465C23—1461no—
1466C23—1461no—
1467C23—1461no—
1468C23—1461no—
1469C23—1461no—
1470C23—1461no—
1471C23—1461no—
1472C23—1461no—
1473C23—1461no—
1474C23—1461no—
1475C23—1461no—
1476C23—1461no—
1477C23—1461no—
1478C23—1461no—
1479C23—1461no—
1480C23—1461no—
1481C23—1461no—
1482C23—1461no—
1483C23—1461no—
1484C23—1461no—
1485C23—1461no—
1486C23—1461no—
1487C23—1461no—
1488C23#41×D7312yes—
1489C23C24×D7311yescharacteristic
1490Q8—5842no—
1491D4—44no—
1492D4—2924no—
1493D4—2924no—
1494D4—2924no—
1495D4—2924no—
1496D4—2924no—
1497D4—5842no—
1498D4—5842no—
1499D4—5842no—
1500D4—5842no—
1501D4—5842no—
1502D4—5842no—
1503D4—5842no—
1504D4—5842no—
1505D4—5842no—
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—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—44no—
1545C2×C4—2924no—
1546C2×C4—2924no—
1547C2×C4—2924no—
1548C2×C4—2924no—
1549C2×C4—2924no—
1550C2×C4—2924no—
1551C2×C4—5842no—
1552C2×C4—5842no—
1553C2×C4—5842no—
1554C2×C4—5842no—
1555C2×C4—732no—
1556C2×C4—1461no—
1557C2×C4—1461no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4—1461no—
1567C2×C4—1461no—
1568C2×C4—1461no—
1569C2×C4—1461no—
1570C2×C4—1461no—
1571C2×C4—1461no—
1572C2×C4—1461no—
1573C2×C4—1461no—
1574C2×C4—1461no—
1575C2×C4—1461no—
1576C2×C4—1461no—
1577C2×C4—1461no—
1578C2×C4—1461no—
1579C2×C4—1461no—
1580C2×C4—1461no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4#1455663712yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—29216no—
1604C22—2921no—
1605C22—2921no—
1606C22—2921no—
1607C22—2921no—
1608C22—2921no—
1609C22—2921no—
1610C22—2921no—
1611C22—2921no—
1612C22—2921no—
1613C22—2921no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—2921no—
1626C22—2921no—
1627C22—2921no—
1628C22—2921no—
1629C22—5848no—
1630C22—734no—
1631C22—1462no—
1632C22—1462no—
1633C22—1462no—
1634C22—1462no—
1635C22—1462no—
1636C22—1462no—
1637C22—1462no—
1638C22—1462no—
1639C22—1462no—
1640C22C2×#41×D7311yescharacteristic
1641C22H(5,𝔽2)×D7311yescharacteristic
1642C22H(5,𝔽2)×D7311yescharacteristic
1643C22H(5,𝔽2)×D7311yescharacteristic
1644C22C2×#1455663711yescharacteristic
1645C22#1798942311yescharacteristic
1646C22#1798942411yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—2921no—
1665C4—2921no—
1666C4—2921no—
1667C4—2921no—
1668C4—2921no—
1669C4—2921no—
1670C4—1462no—
1671C2—42no—
1672C2—81no—
1673C2—2922no—
1674C2—5841no—
1675C2—5841no—
1676C2—5841no—
1677C2—1464no—
1678C2#538×D7311yescharacteristic
1679C2#2262376411yescharacteristic
1680C2#2262377111yescharacteristic
1681C2#2262408211yescharacteristic
1682C2#2262410611yescharacteristic
1683C2#2262424411yescharacteristic
1684C2#2262425411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2781C2
hypercenter#2781D73
hypocenterC73#36758
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2781

Complements

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

NH ≅ G/Ntype
1. #22618217C2semidirect
2. #22618214C2semidirect
3. #22617791C2semidirect
4. #22617560C2semidirect
5. #22617555C2semidirect
6. #22617554C2semidirect
7. #22617248C2semidirect
8. #22617204C2semidirect
9. #22617159C2semidirect
10. #22617052C2semidirect
11. #22616928C2semidirect
12. #22616730C2semidirect
13. #22616569C2semidirect
14. #22616565C2semidirect
15. #22616487C2semidirect
16. #22616370C2semidirect
17. #22616230C2semidirect
18. #22615644C2semidirect
19. #22615644C2semidirect
20. #22614323C2semidirect
21. #22614254C2semidirect
22. #22614175C2semidirect
23. #22614061C2semidirect
24. #22613475C2semidirect
25. #22613462C2semidirect
26. #22613411C2semidirect
27. #22613394C2semidirect
28. #22612584C2semidirect
29. #22612584C2semidirect
30. #386×D73C2semidirect
31. C73×#2781C2semidirect
34. C2×#14556584C22semidirect
35. C2×#14556579C22semidirect
38. C2×#14556573C22semidirect
40. C2×#14556569C22semidirect
41. C2×#14556568C22semidirect
43. C2×#14556566C22semidirect
44. C2×#14556566C22semidirect
45. C2×#14556565C22semidirect
55. C73⋊#401C22semidirect
56. #17988529C22semidirect
57. #17988528C22semidirect
58. #17988526C22semidirect
59. #17988526C22semidirect
60. #17988525C22semidirect
61. #17988522C22semidirect
62. #17988518C22semidirect
63. #17988516C22semidirect
64. #17988516C22semidirect
65. #17988516C22semidirect
66. #17988516C22semidirect
67. #17988514C22semidirect
68. #17988513C22semidirect
69. #17988512C22semidirect
70. #17988512C22semidirect
71. #17988509C22semidirect
72. #17988509C22semidirect
73. #17988505C22semidirect
74. #17988505C22semidirect
75. #17988505C22semidirect
78. #17988504C22semidirect
79. #17988504C22semidirect
84. #17988502C22semidirect
85. #17988502C22semidirect
86. #17988500C22semidirect
87. #17988499C22semidirect
94. #17988496C22semidirect
97. #17988491C22semidirect
98. #17988489C22semidirect
99. #17988489C22semidirect
100. #17988487C22semidirect
101. #17988487C22semidirect
102. #17988487C22semidirect
103. #17988487C22semidirect
104. #17988482C22semidirect
105. #17988480C22semidirect
106. #17988480C22semidirect
107. #17988479C22semidirect
108. #17988479C22semidirect
109. #17988478C22semidirect
110. #17988478C22semidirect
111. #17988477C22semidirect
112. #17988477C22semidirect
113. #17988477C22semidirect
114. #17988477C22semidirect
115. #17988476C22semidirect
116. #17988476C22semidirect
117. #17988476C22semidirect
118. #17988476C22semidirect
119. #17988475C22semidirect
120. #17988472C22semidirect
121. #17988472C22semidirect
122. #17988471C22semidirect
123. #17988468C22semidirect
132. #17988465C22semidirect
133. #17988465C22semidirect
134. #17988465C22semidirect
135. #17988465C22semidirect
136. #17988465C22semidirect
137. #17988465C22semidirect
139. #17988464C22semidirect
140. #17988464C22semidirect
143. #17988463C22semidirect
144. #17988463C22semidirect
145. #17988463C22semidirect
149. #17988461C22semidirect
150. #17988461C22semidirect
151. #17988460C22semidirect
153. #17988458C22semidirect
154. #17988454C22semidirect
157. #17988449C22semidirect
159. #17988446C22semidirect
160. #17988445C22semidirect
162. #17988444C22semidirect
163. #17988444C22semidirect
172. #400×C73C22semidirect
173. #398×C73C22semidirect
174. #397×C73C22semidirect
175. #396×C73C22semidirect
178. #388×C73C22semidirect
179. #388×C73C22semidirect
180. #388×C73C22semidirect
181. #388×C73C22semidirect
182. #387×C73C22semidirect
184. #385×C73C22semidirect
185. #382×C73C22semidirect
186. #380×C73C22semidirect
846. #2781D73semidirect
874. C73#36758semidirect
904. #400C2×D73semidirect
907. #398C2×D73semidirect
916. #397C2×D73semidirect
919. #396C2×D73semidirect
969. #388C2×D73semidirect
970. #388C2×D73semidirect
971. #388C2×D73semidirect
972. #388C2×D73semidirect
977. #387C2×D73semidirect
1009. #385C2×D73semidirect
1011. #382C2×D73semidirect
1021. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226182172
#226182142
#226177912
#226175602
#226175552
#226175542
#226172482
#226172042
#226171592
#226170522
#226169282
#226167302
#226165692
#226165652
#226164872
#226163702
#226162302
#226156442
#226143232
#226142542
#226141752
#226140612
#226134752
#226134622
#226134112
#226133942
#226125842
#386×D732
C73×#27812
#3675873