Finite Group Databasebeta

← #33300154

Subgroups — #33300154

Order 18688.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618258C211yesmaximal, characteristic, complemented
2#22618251C211yesmaximal, characteristic, complemented
3#22617788C211yesmaximal, characteristic, complemented
4#22617568C211yesmaximal, characteristic, complemented
5#22617561C211yesmaximal, characteristic, complemented
6#22617443C211yesmaximal, characteristic, complemented
7#22617373C211yesmaximal, characteristic, complemented
8#22617210C211yesmaximal, characteristic, complemented
9#22617181C211yesmaximal, characteristic, complemented
10#22617172C211yesmaximal, characteristic, complemented
11#22617042C211yesmaximal, characteristic, complemented
12#22616978C211yesmaximal, characteristic, complemented
13#22616967C211yesmaximal, characteristic, complemented
14#22616564C211yesmaximal, characteristic, complemented
15#22616495C211yesmaximal, characteristic, complemented
16#22616485C211yesmaximal, characteristic, complemented
17#22616324C211yesmaximal, characteristic, complemented
18#22615889C211yesmaximal, characteristic, complemented
19#22615862C211yesmaximal, characteristic, complemented
20#22614252C211yesmaximal, characteristic, complemented
21#22614187C211yesmaximal, characteristic, complemented
22#22613665C211yesmaximal, characteristic, complemented
23#22613599C211yesmaximal, characteristic, complemented
24#22613481C211yesmaximal, characteristic, complemented
25#22613326C211yesmaximal, characteristic, complemented
26#22613298C211yesmaximal, characteristic
27#22613253C211yesmaximal, characteristic, complemented
28#22612587C211yesmaximal, characteristic, complemented
29#22612505C211yesmaximal, characteristic, complemented
30#388×D73C211yesmaximal, characteristic, complemented
31C73×#2778C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C2×#14556584C2211yescharacteristic, complemented
34C2×#14556576C2211yescharacteristic
35C2×#14556574C2211yescharacteristic, complemented
36C2×#14556573C2211yescharacteristic
37C2×#14556573C2211yescharacteristic, complemented
38C2×#14556569C2211yescharacteristic, complemented
39C2×#14556568C2211yescharacteristic, complemented
40C2×#14556564C2211yescharacteristic
41C2×#14556562C2211yescharacteristic
42C2×#14556559C2211yescharacteristic
43C2×#14556559C2211yescharacteristic
44C2×C4×C22⋊D73C2211yescharacteristic, complemented
45C2×C4⋊C4×D73C2211yescharacteristic, complemented
46C22×#11924005C2211yescharacteristic
47C2×C22⋊C4×D73C2211yescharacteristic
48C2×C22⋊C4×D73C2211yescharacteristic
49C2×C22⋊C4×D73C2211yescharacteristic
50C2×C42×D73C2211yescharacteristic, complemented
51#17988529C2211yescharacteristic, complemented
52#17988529C2211yescharacteristic, complemented
53#17988529C2211yescharacteristic, complemented
54#17988528C2211yescharacteristic, complemented
55#17988528C2211yescharacteristic, complemented
56#17988527C2211yescharacteristic, complemented
57#17988526C2211yescharacteristic, complemented
58#17988525C2211yescharacteristic, complemented
59#17988522C2211yescharacteristic
60#17988522C2211yescharacteristic, complemented
61#17988521C2211yescharacteristic, complemented
62#17988519C2211yescharacteristic, complemented
63#17988516C2211yescharacteristic
64#17988516C2211yescharacteristic, complemented
65#17988515C2211yescharacteristic, complemented
66#17988515C2211yescharacteristic, complemented
67#17988515C2211yescharacteristic, complemented
68#17988515C2211yescharacteristic, complemented
69#17988514C2211yescharacteristic
70#17988514C2211yescharacteristic, complemented
71#17988514C2211yescharacteristic, complemented
72#17988514C2211yescharacteristic, complemented
73#17988511C2211yescharacteristic
74#17988511C2211yescharacteristic, complemented
75#17988510C2211yescharacteristic, complemented
76#17988510C2211yescharacteristic, complemented
77#17988509C2211yescharacteristic
78#17988503C2211yescharacteristic
79#17988503C2211yescharacteristic
80#17988503C2211yescharacteristic
81#17988503C2211yescharacteristic, complemented
82#17988502C2211yescharacteristic
83#17988502C2211yescharacteristic
84#17988501C2211yescharacteristic
85#17988501C2211yescharacteristic
86#17988501C2211yescharacteristic, complemented
87#17988501C2211yescharacteristic, complemented
88#17988500C2211yescharacteristic
89#17988500C2211yescharacteristic, complemented
90#17988499C2211yescharacteristic, complemented
91#17988499C2211yescharacteristic, complemented
92#17988495C2211yescharacteristic
93#17988492C2211yescharacteristic, complemented
94#17988490C2211yescharacteristic, complemented
95#17988487C2211yescharacteristic
96#17988487C2211yescharacteristic, complemented
97#17988487C2211yescharacteristic, complemented
98#17988484C2211yescharacteristic, complemented
99#17988484C2211yescharacteristic, complemented
100#17988482C2211yescharacteristic, complemented
101#17988481C2211yescharacteristic, complemented
102#17988481C2211yescharacteristic, complemented
103#17988480C2211yescharacteristic, complemented
104#17988480C2211yescharacteristic, complemented
105#17988480C2211yescharacteristic, complemented
106#17988479C2211yescharacteristic
107#17988479C2211yescharacteristic
108#17988479C2211yescharacteristic, complemented
109#17988478C2211yescharacteristic
110#17988478C2211yescharacteristic, complemented
111#17988477C2211yescharacteristic
112#17988477C2211yescharacteristic, complemented
113#17988477C2211yescharacteristic, complemented
114#17988476C2211yescharacteristic
115#17988476C2211yescharacteristic
116#17988476C2211yescharacteristic, complemented
117#17988475C2211yescharacteristic, complemented
118#17988475C2211yescharacteristic, complemented
119#17988475C2211yescharacteristic, complemented
120#17988475C2211yescharacteristic, complemented
121#17988475C2211yescharacteristic, complemented
122#17988475C2211yescharacteristic, complemented
123#17988474C2211yescharacteristic, complemented
124#17988473C2211yescharacteristic, complemented
125#17988472C2211yescharacteristic, complemented
126#17988471C2211yescharacteristic, complemented
127#17988470C2211yescharacteristic, complemented
128#17988470C2211yescharacteristic, complemented
129#17988469C2211yescharacteristic, complemented
130#17988467C2211yescharacteristic
131#17988467C2211yescharacteristic, complemented
132#17988466C2211yescharacteristic
133#17988466C2211yescharacteristic
134#17988465C2211yescharacteristic
135#17988465C2211yescharacteristic
136#17988465C2211yescharacteristic
137#17988465C2211yescharacteristic
138#17988464C2211yescharacteristic
139#17988463C2211yescharacteristic
140#17988463C2211yescharacteristic
141#17988463C2211yescharacteristic
142#17988463C2211yescharacteristic
143#17988463C2211yescharacteristic
144#17988463C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988461C2211yescharacteristic
147#17988461C2211yescharacteristic
148#17988461C2211yescharacteristic, complemented
149#17988461C2211yescharacteristic, complemented
150#17988461C2211yescharacteristic, complemented
151#17988460C2211yescharacteristic, complemented
152#17988459C2211yescharacteristic, complemented
153#17988458C2211yescharacteristic
154#17988458C2211yescharacteristic, complemented
155#17988451C2211yescharacteristic, complemented
156#17988449C2211yescharacteristic
157#17988449C2211yescharacteristic
158#17988449C2211yescharacteristic, complemented
159#17988447C2211yescharacteristic, complemented
160#17988447C2211yescharacteristic, complemented
161#17988446C2211yescharacteristic, complemented
162#17988445C2211yescharacteristic, complemented
163#17988442C2211yescharacteristic
164#17988442C2211yescharacteristic
165#17988442C2211yescharacteristic
166#17988442C2211yescharacteristic
167#17988442C2211yescharacteristic
168#17988442C2211yescharacteristic
169#17988434C2211yescharacteristic, complemented
170#95×D73C2211yescharacteristic, complemented
171#95×D73C2211yescharacteristic, complemented
172#401×C73C2211yescharacteristic, complemented
173#400×C73C2211yescharacteristic, complemented
174#397×C73C2211yescharacteristic, complemented
175#394×C73C2211yescharacteristic
176#394×C73C2211yescharacteristic, complemented
177#392×C73C2211yescharacteristic
178#388×C73C2211yescharacteristic, complemented
179#388×C73C2211yescharacteristic, complemented
180#388×C73C2211yescharacteristic, complemented
181#386×C73C2211yescharacteristic
182#386×C73C2211yescharacteristic, complemented
183#386×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic, complemented
185#385×C73C2211yescharacteristic, complemented
186#380×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×Dic146C2311yescharacteristic
190C22×D292C2311yescharacteristic
191C22×C22⋊D73C2311yescharacteristic
192C22×C22⋊D73C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C2×D4×D73—24no—
197C2×D4×D73—42no—
198C2×D4×D73—42no—
199C23×Dic73C2311yescharacteristic
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207#14556584—42no—
208#14556576—42no—
209#14556574—42no—
210#14556573—42no—
211#14556573—42no—
212#14556569—42no—
213#14556568—42no—
214#14556564—42no—
215#14556562—42no—
216#14556559—24no—
217#14556559—42no—
218C4×C22⋊D73—42no—
219C2×C4⋊Dic73C2311yescharacteristic
220C2×C4⋊Dic73C2311yescharacteristic
221C2×C4⋊Dic73C2311yescharacteristic
222C2×C4⋊Dic73C2311yescharacteristic
223C2×C4⋊Dic73C2311yescharacteristic
224C2×C4⋊Dic73C2311yescharacteristic
225C2×C4⋊Dic73C2311yescharacteristic
226C2×#11924007C2311yescharacteristic
227C2×#11924007C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C4⋊C4×D73—42no—
242C2×C22⋊Dic73C2311yescharacteristic
243C2×C22⋊Dic73C2311yescharacteristic
244C2×C22⋊Dic73C2311yescharacteristic
245C2×C22⋊Dic73C2311yescharacteristic
246C2×C22⋊Dic73C2311yescharacteristic
247C2×C22⋊Dic73C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×C22⋊Dic73C2311yescharacteristic
251C2×C22⋊Dic73C2311yescharacteristic
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×#11924005—42no—
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
286C22⋊C4×D73—24no—
287C22⋊C4×D73—42no—
288C22⋊C4×D73—42no—
289C2×C4×Dic73C2311yescharacteristic
290C2×C4×Dic73C2311yescharacteristic
291C2×C4×Dic73C2311yescharacteristic
292C2×C4×Dic73C2311yescharacteristic
293C2×C4×Dic73C2311yescharacteristic
294C2×C4×Dic73C2311yescharacteristic
295C42×D73—42no—
296#14556498C2311yescharacteristic
297#14556498C2311yescharacteristic
298#14556498C2311yescharacteristic
299#14556498C2311yescharacteristic
300#14556498C2311yescharacteristic
301#14556498C2311yescharacteristic
302#14556498C2311yescharacteristic
303#14556498C2311yescharacteristic
304#14556498C2311yescharacteristic
305#14556498C2311yescharacteristic
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
328C22×D4×C73C2311yescharacteristic
329C22×D4×C73C2311yescharacteristic
330C22×D4×C73C2311yescharacteristic
331C23×C4×C73C2311yescharacteristic
332C23×C4×C73C2311yescharacteristic
333C2×C4⋊C4×C73C2311yescharacteristic
334C2×C4⋊C4×C73C2311yescharacteristic
335C2×C4⋊C4×C73C2311yescharacteristic
336C2×C4⋊C4×C73C2311yescharacteristic
337C2×C22⋊C4×C73C2311yescharacteristic
338C2×C22⋊C4×C73C2311yescharacteristic
339C2×C22⋊C4×C73C2311yescharacteristic
340C2×C22⋊C4×C73C2311yescharacteristic
341C2×C22⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊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×C42×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363C23×D73—22no—
364C23×D73—22no—
365C23×D73—22no—
366C23×D73—41no—
367C23×D73—41no—
368C23×D73—41no—
369C23×D73—41no—
370C23×D73—41no—
371C23×D73—41no—
372C23×D73—41no—
373C23×D73—41no—
374C23×D73—41no—
375C23×D73—41no—
376C23×D73#4114yes—
377C23×D73C2411yescharacteristic
378C23×D73C2411yescharacteristic
379C23×D73C2411yescharacteristic
380C2×Dic146—41no—
381C2×Dic146—41no—
382C2×Dic146—41no—
383C2×D292—22no—
384C2×D292—22no—
385C2×D292—22no—
386C2×C22⋊D73—22no—
387C2×C22⋊D73—22no—
388C2×C22⋊D73—22no—
389C2×C22⋊D73—22no—
390C2×C22⋊D73—22no—
391C2×C22⋊D73—22no—
392C2×C22⋊D73—22no—
393C2×C22⋊D73—22no—
394C2×C22⋊D73—22no—
395C2×C22⋊D73—41no—
396C2×C22⋊D73—41no—
397C2×C22⋊D73—41no—
398C2×C22⋊D73—41no—
399C2×C22⋊D73—41no—
400C2×C22⋊D73—41no—
401D4×D73—416no—
402C22×Dic73—41no—
403C22×Dic73—41no—
404C22×Dic73—41no—
405C22×Dic73C2411yescharacteristic
406C22×Dic73C2411yescharacteristic
407C22×Dic73C2411yescharacteristic
408C22×Dic73C2411yescharacteristic
409C22×Dic73C2411yescharacteristic
410C22×Dic73C2411yescharacteristic
411C22×Dic73C2411yescharacteristic
412C22×Dic73C2411yescharacteristic
413C22×Dic73C2411yescharacteristic
414C22×Dic73C2411yescharacteristic
415C22×Dic73C2411yescharacteristic
416C22×Dic73C2411yescharacteristic
417C22×Dic73C2411yescharacteristic
418C2×C4×D73—22no—
419C2×C4×D73—22no—
420C2×C4×D73—22no—
421C2×C4×D73—22no—
422C2×C4×D73—22no—
423C2×C4×D73—22no—
424C2×C4×D73—22no—
425C2×C4×D73—22no—
426C2×C4×D73—22no—
427C2×C4×D73—22no—
428C2×C4×D73—41no—
429C2×C4×D73—41no—
430C2×C4×D73—41no—
431C2×C4×D73—41no—
432C2×C4×D73—41no—
433C2×C4×D73—41no—
434C2×C4×D73—41no—
435C2×C4×D73—41no—
436C2×C4×D73—41no—
437C2×C4×D73—41no—
438C2×C4×D73—41no—
439C4⋊Dic73—22no—
440C4⋊Dic73—41no—
441C4⋊Dic73—41no—
442C4⋊Dic73—41no—
443C4⋊Dic73—41no—
444C4⋊Dic73—41no—
445C4⋊Dic73—41no—
446#11924007—22no—
447#11924007—22no—
448#11924007—22no—
449#11924007—41no—
450#11924007—41no—
451#11924007—41no—
452#11924007—41no—
453#11924007—41no—
454#11924007—41no—
455#11924007—41no—
456#11924007—41no—
457#11924007—41no—
458#11924007—41no—
459#11924007—41no—
460#11924007—41no—
461C22⋊Dic73—22no—
462C22⋊Dic73—22no—
463C22⋊Dic73—22no—
464C22⋊Dic73—22no—
465C22⋊Dic73—41no—
466C22⋊Dic73—41no—
467C22⋊Dic73—41no—
468C22⋊Dic73—41no—
469C22⋊Dic73—41no—
470C22⋊Dic73—41no—
471C22⋊Dic73—41no—
472C22⋊Dic73—41no—
473C22⋊Dic73—41no—
474C22⋊Dic73—41no—
475C22⋊Dic73—41no—
476C22⋊Dic73—41no—
477#11924005—22no—
478#11924005—22no—
479#11924005—22no—
480#11924005—22no—
481#11924005—22no—
482#11924005—22no—
483#11924005—22no—
484#11924005—22no—
485#11924005—22no—
486#11924005—41no—
487#11924005—41no—
488#11924005—41no—
489#11924005—41no—
490#11924005—41no—
491#11924005—41no—
492#11924005—41no—
493#11924005—41no—
494#11924005—41no—
495#11924005—41no—
496#11924005—41no—
497#11924005—41no—
498#11924005—41no—
499#11924005—41no—
500#11924005—41no—
501#11924005—41no—
502#11924005—41no—
503#11924005—41no—
504C4×Dic73—41no—
505C4×Dic73—41no—
506C4×Dic73—41no—
507C4×Dic73—41no—
508C4×Dic73—41no—
509C4×Dic73—41no—
510C24×C73C2411yescharacteristic
511C24×C73C2411yescharacteristic
512C24×C73C2411yescharacteristic
513C2×D4×C73—22no—
514C2×D4×C73—22no—
515C2×D4×C73—41no—
516C2×D4×C73—41no—
517C2×D4×C73—41no—
518C2×D4×C73—41no—
519C2×D4×C73—41no—
520C2×D4×C73—41no—
521C2×D4×C73—41no—
522C22×C4×C73—41no—
523C22×C4×C73—41no—
524C22×C4×C73—41no—
525C22×C4×C73—41no—
526C22×C4×C73—41no—
527C22×C4×C73—41no—
528C22×C4×C73C2411yescharacteristic
529C22×C4×C73C2411yescharacteristic
530C22×C4×C73C2411yescharacteristic
531C22×C4×C73C2411yescharacteristic
532C22×C4×C73C2411yescharacteristic
533C22×C4×C73C2411yescharacteristic
534C22×C4×C73C2411yescharacteristic
535C22×C4×C73C2411yescharacteristic
536C22×C4×C73C2411yescharacteristic
537C22×C4×C73C2411yescharacteristic
538C22×C4×C73C2411yescharacteristic
539C22×C4×C73C2411yescharacteristic
540C4⋊C4×C73—41no—
541C4⋊C4×C73—41no—
542C4⋊C4×C73—41no—
543C4⋊C4×C73—41no—
544C22⋊C4×C73—22no—
545C22⋊C4×C73—41no—
546C22⋊C4×C73—41no—
547C22⋊C4×C73—41no—
548C22⋊C4×C73—41no—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C42×C73—41no—
558C23×C73—21no—
559C23×C73—21no—
560C23×C73—21no—
561C23×C73—21no—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73C2×#4112yes—
579C23×C73C2511yescharacteristic
580C22×D73—21no—
581C22×D73—21no—
582C22×D73—21no—
583C22×D73—21no—
584C22×D73—21no—
585C22×D73—21no—
586C22×D73—21no—
587C22×D73—21no—
588C22×D73—21no—
589C22×D73—21no—
590C22×D73—28no—
591C22×D73—21no—
592C22×D73—21no—
593C22×D73—21no—
594C22×D73—21no—
595C22×D73—21no—
596C22×D73—21no—
597C22×D73—21no—
598C22×D73—44no—
599C22×D73—44no—
600C22×D73—44no—
601C22×D73—82no—
602C22×D73—82no—
603C22×D73—82no—
604C22×D73—82no—
605C22×D73—82no—
606C22×D73—82no—
607C22×D73—82no—
608C22×D73—82no—
609C22×D73—82no—
610C22×D73—82no—
611C22×D73C2×#4112yes—
612C22×D73C2×#4112yes—
613C22×D73H(5,𝔽2)12yes—
614C22×D73H(5,𝔽2)12yes—
615D4×C73—44no—
616D4×C73—82no—
617D4×C73—82no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
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—82no—
655C2×C4×C73—82no—
656C22⋊D73—44no—
657C22⋊D73—44no—
658C22⋊D73—44no—
659C22⋊D73—82no—
660C22⋊D73—82no—
661C2×Dic73—21no—
662C2×Dic73—21no—
663C2×Dic73—21no—
664C2×Dic73—21no—
665C2×Dic73—21no—
666C2×Dic73—21no—
667C2×Dic73—21no—
668C2×Dic73—21no—
669C2×Dic73—21no—
670C2×Dic73—21no—
671C2×Dic73—21no—
672C2×Dic73—21no—
673C2×Dic73—21no—
674C2×Dic73—21no—
675C2×Dic73—21no—
676C2×Dic73—21no—
677C2×Dic73—21no—
678C2×Dic73—21no—
679C2×Dic73—21no—
680C2×Dic73—21no—
681C2×Dic73—21no—
682C2×Dic73—21no—
683C2×Dic73—21no—
684C2×Dic73—21no—
685C2×Dic73—21no—
686C2×Dic73—21no—
687C2×Dic73—21no—
688C2×Dic73—21no—
689C2×Dic73—21no—
690C2×Dic73—21no—
691C2×Dic73—21no—
692C2×Dic73—21no—
693C2×Dic73—21no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—82no—
700C2×Dic73H(5,𝔽2)12yes—
701D292—44no—
702C4×D73—44no—
703C4×D73—44no—
704C4×D73—44no—
705C4×D73—44no—
706C4×D73—44no—
707C4×D73—82no—
708C4×D73—82no—
709Dic146—82no—
710C22×C73—22no—
711C22×C73—22no—
712C22×C73—22no—
713C22×C73—41no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73C22×#4111yescharacteristic
732C22×C73C2×H(5,𝔽2)11yescharacteristic
733C22×C73C2×H(5,𝔽2)11yescharacteristic
734C22×C73C2×H(5,𝔽2)11yescharacteristic
735C22×C73#58511yescharacteristic
736C22×C73#58511yescharacteristic
737C22×C73#58511yescharacteristic
738C2×D73—22no—
739C2×D73—22no—
740C2×D73—22no—
741C2×D73—22no—
742C2×D73—22no—
743C2×D73—22no—
744C2×D73—22no—
745C2×D73—22no—
746C2×D73—22no—
747C2×D73—41no—
748C2×D73—41no—
749C2×D73—41no—
750C2×D73—41no—
751C2×D73—41no—
752C2×D73—41no—
753C2×D73—41no—
754C2×D73—41no—
755C2×D73—41no—
756C2×D73—41no—
757C2×D73—41no—
758C2×D73—88no—
759C2×D73—88no—
760C2×D73#53814yes—
761C4×C73—41no—
762C4×C73—41no—
763C4×C73—41no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772C4×C73—41no—
773Dic73—22no—
774Dic73—41no—
775Dic73—41no—
776Dic73—41no—
777Dic73—41no—
778Dic73—41no—
779Dic73—41no—
780Dic73—41no—
781Dic73—41no—
782Dic73—41no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786#36986—731nomaximal, Sylow
787C2×C73—42no—
788C2×C73—81no—
789C2×C73—81no—
790C2×C73C2×#53811yescharacteristic
791C2×C73#349111yescharacteristic
792C2×C73#350511yescharacteristic
793C2×C73#353311yescharacteristic
794C2×C73#353411yescharacteristic
795C2×C73#355811yescharacteristic
796C2×C73#356011yescharacteristic
797D73—24no—
798D73—42no—
799D73—81no—
800#2854—731no—
801#2853—731no—
802#2797—731no—
803#2779—731no—
804#2779—731no—
805#2778D7311yescharacteristic, complemented
806#2771—731no—
807#2765—731no—
808#2753—731no—
809#2751—731no—
810#2750—731no—
811#2741—731no—
812#2736—731no—
813#2735—731no—
814#2702—731no—
815#2697—731no—
816#2696—731no—
817#2685—731no—
818#2643—731no—
819#2639—731no—
820#2488—731no—
821#2481—731no—
822#2443—731no—
823#2437—731no—
824#2425—731no—
825#2412—731no—
826#2410—731no—
827#2405—731no—
828#2321—731no—
829#2308—731no—
830C2×#388—731no—
831C73#3698611yescharacteristic, complemented, Sylow
832C23×D4—731no—
833C2×#126—731no—
834C2×#123—731no—
835C2×#123—731no—
836C2×#123—731no—
837C2×#123—731no—
838C2×C22⋊Q8—731no—
839C2×C22⋊Q8—731no—
840C2×#121—731no—
841C2×#121—731no—
842C2×#120—731no—
843C2×#120—731no—
844C2×C4×D4—731no—
845C22×C4⋊C4—731no—
846C22×C22⋊C4—731no—
847C22×C22⋊C4—731no—
848C22×C22⋊C4—731no—
849C22×C22⋊C4—731no—
850C22×C42—731no—
851#401C2×D7311yescharacteristic, complemented
852#400—731no—
853#400—731no—
854#400—731no—
855#400—731no—
856#400—731no—
857#400—731no—
858#400—731no—
859#400—731no—
860#400C2×D7311yescharacteristic, complemented
861#399—731no—
862#399—731no—
863#398—731no—
864#398—731no—
865#397—731no—
866#397—731no—
867#397—731no—
868#397—731no—
869#397—731no—
870#397—731no—
871#397—731no—
872#397—731no—
873#397—731no—
874#397—731no—
875#397C2×D7311yescharacteristic, complemented
876#396—731no—
877#396—731no—
878#396—731no—
879#396—731no—
880#396—731no—
881#394—731no—
882#394—731no—
883#394—731no—
884#394—731no—
885#394—731no—
886#394—731no—
887#394—731no—
888#394—731no—
889#394—731no—
890#394—731no—
891#394C2×D7311yescharacteristic
892#394C2×D7311yescharacteristic, complemented
893#393—731no—
894#393—731no—
895#393—731no—
896#393—731no—
897#392—731no—
898#392C2×D7311yescharacteristic
899#391—731no—
900#390—731no—
901#390—731no—
902#390—731no—
903#390—731no—
904#389—731no—
905#389—731no—
906#389—731no—
907#388—731no—
908#388—731no—
909#388—731no—
910#388—731no—
911#388—731no—
912#388—731no—
913#388—731no—
914#388—731no—
915#388—731no—
916#388—731no—
917#388—731no—
918#388—731no—
919#388—731no—
920#388—731no—
921#388—731no—
922#388—731no—
923#388—731no—
924#388—731no—
925#388—731no—
926#388—731no—
927#388—731no—
928#388—731no—
929#388C2×D7311yescharacteristic, complemented
930#388C2×D7311yescharacteristic, complemented
931#388C2×D7311yescharacteristic, complemented
932#387—731no—
933#387—731no—
934#387—731no—
935#387—731no—
936#387—731no—
937#387—731no—
938#387—731no—
939#386—731no—
940#386—731no—
941#386—731no—
942#386—731no—
943#386—731no—
944#386—731no—
945#386—731no—
946#386—731no—
947#386—731no—
948#386—731no—
949#386—731no—
950#386—731no—
951#386—731no—
952#386—731no—
953#386—731no—
954#386—731no—
955#386C2×D7311yescharacteristic
956#386C2×D7311yescharacteristic, complemented
957#386C2×D7311yescharacteristic, complemented
958#386C2×D7311yescharacteristic, complemented
959#385—731no—
960#385—731no—
961#385—731no—
962#385—731no—
963#385—731no—
964#385—731no—
965#385—731no—
966#385—731no—
967#385—731no—
968#385C2×D7311yescharacteristic, complemented
969#382—731no—
970#381—731no—
971#381—731no—
972#381—731no—
973#380—731no—
974#380—731no—
975#380—731no—
976#380—731no—
977#380C2×D7311yescharacteristic, complemented
978#379—731no—
979#379—731no—
980#379—731no—
981#379—731no—
982#379—731no—
983#379—731no—
984C4×C22⋊C4—731no—
985C2×#95—731no—
986C2×#95—731no—
987C25—731no—
988C25—731no—
989C22×Q8—731no—
990C22×D4—2922no—
991C22×D4—2922no—
992C22×D4—731no—
993C22×D4—731no—
994C22×D4—731no—
995C22×D4—731no—
996C22×D4—731no—
997C22×D4—731no—
998C22×D4—1464no—
999C22×D4C22×D7311yescharacteristic
1000C22×D4C22×D7311yescharacteristic
1001C22×D4C22×D7311yescharacteristic
1002C23×C4—731no—
1003C23×C4—731no—
1004C23×C4—731no—
1005C23×C4—731no—
1006C23×C4—731no—
1007C23×C4—731no—
1008C23×C4—731no—
1009C23×C4—731no—
1010C23×C4C22×D7311yescharacteristic
1011C23×C4C22×D7311yescharacteristic
1012#126—2922no—
1013#123—2922no—
1014#123—2922no—
1015#123—2922no—
1016#123—2922no—
1017C22⋊Q8—2922no—
1018C22⋊Q8—2922no—
1019#121—2922no—
1020#121—2922no—
1021#120—2922no—
1022#120—1464no—
1023C4×D4—2922no—
1024C2×C4⋊C4—2922no—
1025C2×C4⋊C4—731no—
1026C2×C4⋊C4—731no—
1027C2×C4⋊C4—731no—
1028C2×C4⋊C4—731no—
1029C2×C4⋊C4—731no—
1030C2×C4⋊C4—731no—
1031C2×C4⋊C4—731no—
1032C2×C4⋊C4—731no—
1033C2×C4⋊C4—731no—
1034C2×C4⋊C4—731no—
1035C2×C4⋊C4—731no—
1036C2×C4⋊C4—731no—
1037C2×C4⋊C4—731no—
1038C2×C4⋊C4—731no—
1039C2×C4⋊C4—731no—
1040C2×C4⋊C4—731no—
1041C2×C4⋊C4—731no—
1042C2×C4⋊C4—731no—
1043C2×C4⋊C4—731no—
1044C2×C4⋊C4—731no—
1045C2×C4⋊C4—731no—
1046C2×C4⋊C4—731no—
1047C2×C4⋊C4C22×D7311yescharacteristic
1048C2×C4⋊C4C22×D7311yescharacteristic
1049C2×C4⋊C4C22×D7311yescharacteristic
1050C2×C4⋊C4C22×D7311yescharacteristic
1051C2×C22⋊C4—2922no—
1052C2×C22⋊C4—2922no—
1053C2×C22⋊C4—2922no—
1054C2×C22⋊C4—731no—
1055C2×C22⋊C4—731no—
1056C2×C22⋊C4—731no—
1057C2×C22⋊C4—731no—
1058C2×C22⋊C4—731no—
1059C2×C22⋊C4—731no—
1060C2×C22⋊C4—731no—
1061C2×C22⋊C4—731no—
1062C2×C22⋊C4—731no—
1063C2×C22⋊C4—731no—
1064C2×C22⋊C4—731no—
1065C2×C22⋊C4—731no—
1066C2×C22⋊C4—731no—
1067C2×C22⋊C4—731no—
1068C2×C22⋊C4—731no—
1069C2×C22⋊C4—731no—
1070C2×C22⋊C4—731no—
1071C2×C22⋊C4—731no—
1072C2×C22⋊C4—731no—
1073C2×C22⋊C4—731no—
1074C2×C22⋊C4—731no—
1075C2×C22⋊C4—731no—
1076C2×C22⋊C4—731no—
1077C2×C22⋊C4—731no—
1078C2×C22⋊C4—731no—
1079C2×C22⋊C4—731no—
1080C2×C22⋊C4—731no—
1081C2×C22⋊C4—731no—
1082C2×C22⋊C4—731no—
1083C2×C22⋊C4—731no—
1084C2×C22⋊C4—731no—
1085C2×C22⋊C4—731no—
1086C2×C22⋊C4—731no—
1087C2×C22⋊C4—731no—
1088C2×C22⋊C4—731no—
1089C2×C22⋊C4—731no—
1090C2×C22⋊C4—731no—
1091C2×C22⋊C4—731no—
1092C2×C22⋊C4—731no—
1093C2×C22⋊C4—731no—
1094C2×C22⋊C4—731no—
1095C2×C22⋊C4—731no—
1096C2×C22⋊C4—731no—
1097C2×C22⋊C4—1464no—
1098C2×C22⋊C4C22×D7311yescharacteristic
1099C2×C22⋊C4C22×D7311yescharacteristic
1100C2×C22⋊C4C22×D7311yescharacteristic
1101C2×C22⋊C4C22×D7311yescharacteristic
1102C2×C22⋊C4C22×D7311yescharacteristic
1103C2×C22⋊C4C22×D7311yescharacteristic
1104C2×C22⋊C4C22×D7311yescharacteristic
1105C2×C22⋊C4C22×D7311yescharacteristic
1106C2×C22⋊C4C22×D7311yescharacteristic
1107C2×C22⋊C4C22×D7311yescharacteristic
1108C2×C22⋊C4C22×D7311yescharacteristic
1109C2×C22⋊C4C22×D7311yescharacteristic
1110C2×C22⋊C4C22×D7311yescharacteristic
1111C2×C42—2922no—
1112C2×C42—731no—
1113C2×C42—731no—
1114C2×C42—731no—
1115C2×C42—731no—
1116C2×C42—731no—
1117C2×C42—731no—
1118C2×C42C22×D7311yescharacteristic
1119#95—731no—
1120#95—731no—
1121#95—731no—
1122#95—731no—
1123#95—731no—
1124#95—731no—
1125#95—731no—
1126#95—731no—
1127#95—731no—
1128#95—731no—
1129#95—731no—
1130#95—731no—
1131#95—731no—
1132#95—731no—
1133#95—731no—
1134#95—731no—
1135#95—731no—
1136#95—731no—
1137#95—731no—
1138#95—731no—
1139#95—731no—
1140#95—731no—
1141#95—731no—
1142#95—731no—
1143#95—731no—
1144#95—731no—
1145#95—731no—
1146#95—731no—
1147#95—731no—
1148#95—731no—
1149#95—731no—
1150#95—731no—
1151#95C22×D7311yescharacteristic
1152#95C22×D7311yescharacteristic
1153#95C22×D7311yescharacteristic
1154#95C22×D7311yescharacteristic
1155#95C22×D7311yescharacteristic
1156#95C22×D7311yescharacteristic
1157#95C22×D7311yescharacteristic
1158#95C22×D7311yescharacteristic
1159#95C22×D7311yescharacteristic
1160#95C22×D7311yescharacteristic
1161#95C22×D7311yescharacteristic
1162#95C22×D7311yescharacteristic
1163C24—2921no—
1164C24—2921no—
1165C24—2921no—
1166C24—2921no—
1167C24—2921no—
1168C24—2921no—
1169C24—2921no—
1170C24—2921no—
1171C24—2921no—
1172C24—2921no—
1173C24—734no—
1174C24—731no—
1175C24—731no—
1176C24—731no—
1177C24—1462no—
1178C24—1462no—
1179C24—1462no—
1180C24C23×D7311yescharacteristic
1181C24C23×D7311yescharacteristic
1182C24C23×D7311yescharacteristic
1183C2×Q8—2921no—
1184C2×Q8—2921no—
1185C2×Q8—2921no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—29216no—
1196C2×D4—2921no—
1197C2×D4—2921no—
1198C2×D4—2921no—
1199C2×D4—2921no—
1200C2×D4—2921no—
1201C2×D4—2921no—
1202C2×D4—1462no—
1203C2×D4—1462no—
1204C2×D4—1462no—
1205C2×D4—1462no—
1206C2×D4—1462no—
1207C2×D4—1462no—
1208C2×D4—1462no—
1209C2×D4—1462no—
1210C2×D4—1462no—
1211C2×D4—1462no—
1212C2×D4—1462no—
1213C2×D4—1462no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—2921no—
1221C22×C4—2921no—
1222C22×C4—2921no—
1223C22×C4—2921no—
1224C22×C4—2921no—
1225C22×C4—2921no—
1226C22×C4—2921no—
1227C22×C4—2921no—
1228C22×C4—2921no—
1229C22×C4—2921no—
1230C22×C4—2921no—
1231C22×C4—2921no—
1232C22×C4—2921no—
1233C22×C4—2921no—
1234C22×C4—731no—
1235C22×C4—731no—
1236C22×C4—731no—
1237C22×C4—731no—
1238C22×C4—731no—
1239C22×C4—731no—
1240C22×C4—731no—
1241C22×C4—731no—
1242C22×C4—731no—
1243C22×C4—731no—
1244C22×C4—731no—
1245C22×C4—731no—
1246C22×C4—731no—
1247C22×C4—1462no—
1248C22×C4—1462no—
1249C22×C4—1462no—
1250C22×C4—1462no—
1251C22×C4—1462no—
1252C22×C4—1462no—
1253C22×C4—1462no—
1254C22×C4—1462no—
1255C22×C4—1462no—
1256C22×C4—1462no—
1257C22×C4C23×D7311yescharacteristic
1258C22×C4C23×D7311yescharacteristic
1259C22×C4C23×D7311yescharacteristic
1260C22×C4C23×D7311yescharacteristic
1261C22×C4C23×D7311yescharacteristic
1262C22×C4C23×D7311yescharacteristic
1263C22×C4C23×D7311yescharacteristic
1264C22×C4C23×D7311yescharacteristic
1265C22×C4C23×D7311yescharacteristic
1266C22×C4C23×D7311yescharacteristic
1267C22×C4C23×D7311yescharacteristic
1268C22×C4C23×D7311yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—2921no—
1274C4⋊C4—2921no—
1275C4⋊C4—2921no—
1276C4⋊C4—2921no—
1277C4⋊C4—2921no—
1278C4⋊C4—2921no—
1279C4⋊C4—2921no—
1280C4⋊C4—2921no—
1281C4⋊C4—2921no—
1282C4⋊C4—2921no—
1283C4⋊C4—2921no—
1284C4⋊C4—2921no—
1285C4⋊C4—2921no—
1286C4⋊C4—2921no—
1287C4⋊C4—2921no—
1288C4⋊C4—2921no—
1289C4⋊C4—2921no—
1290C4⋊C4—2921no—
1291C4⋊C4—1462no—
1292C4⋊C4—1462no—
1293C4⋊C4—1462no—
1294C4⋊C4—1462no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—2921no—
1309C22⋊C4—2921no—
1310C22⋊C4—2921no—
1311C22⋊C4—2921no—
1312C22⋊C4—2921no—
1313C22⋊C4—2921no—
1314C22⋊C4—2921no—
1315C22⋊C4—2921no—
1316C22⋊C4—2921no—
1317C22⋊C4—2921no—
1318C22⋊C4—2921no—
1319C22⋊C4—2921no—
1320C22⋊C4—2921no—
1321C22⋊C4—2921no—
1322C22⋊C4—2921no—
1323C22⋊C4—2921no—
1324C22⋊C4—2921no—
1325C22⋊C4—2921no—
1326C22⋊C4—2921no—
1327C22⋊C4—2921no—
1328C22⋊C4—2921no—
1329C22⋊C4—2921no—
1330C22⋊C4—2921no—
1331C22⋊C4—2921no—
1332C22⋊C4—2921no—
1333C22⋊C4—2921no—
1334C22⋊C4—2921no—
1335C22⋊C4—2921no—
1336C22⋊C4—2921no—
1337C22⋊C4—2921no—
1338C22⋊C4—1462no—
1339C22⋊C4—1462no—
1340C22⋊C4—1462no—
1341C22⋊C4—1462no—
1342C22⋊C4—1462no—
1343C22⋊C4—1462no—
1344C22⋊C4—1462no—
1345C22⋊C4—1462no—
1346C22⋊C4—1462no—
1347C22⋊C4—1462no—
1348C22⋊C4—1462no—
1349C22⋊C4—1462no—
1350C22⋊C4—1462no—
1351C42—41no—
1352C42—2921no—
1353C42—2921no—
1354C42—2921no—
1355C42—2921no—
1356C42—2921no—
1357C42—2921no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—2924no—
1379C23—2924no—
1380C23—2924no—
1381C23—5842no—
1382C23—5842no—
1383C23—5842no—
1384C23—5842no—
1385C23—5842no—
1386C23—5842no—
1387C23—5842no—
1388C23—5842no—
1389C23—5842no—
1390C23—5842no—
1391C23—732no—
1392C23—732no—
1393C23—732no—
1394C23—732no—
1395C23—1468no—
1396C23—1461no—
1397C23—1461no—
1398C23—1461no—
1399C23—1461no—
1400C23—1461no—
1401C23—1461no—
1402C23—1461no—
1403C23—1461no—
1404C23—1461no—
1405C23—1461no—
1406C23—1461no—
1407C23—1461no—
1408C23—1461no—
1409C23—1461no—
1410C23—1461no—
1411C23—1461no—
1412C23—1461no—
1413C23#41×D7312yes—
1414C23C24×D7311yescharacteristic
1415Q8—5842no—
1416D4—44no—
1417D4—82no—
1418D4—82no—
1419D4—2924no—
1420D4—2924no—
1421D4—2924no—
1422D4—2924no—
1423D4—5842no—
1424D4—5842no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—2924no—
1464C2×C4—2924no—
1465C2×C4—2924no—
1466C2×C4—2924no—
1467C2×C4—2924no—
1468C2×C4—5842no—
1469C2×C4—5842no—
1470C2×C4—5842no—
1471C2×C4—732no—
1472C2×C4—1461no—
1473C2×C4—1461no—
1474C2×C4—1461no—
1475C2×C4—1461no—
1476C2×C4—1461no—
1477C2×C4—1461no—
1478C2×C4—1461no—
1479C2×C4—1461no—
1480C2×C4—1461no—
1481C2×C4—1461no—
1482C2×C4—1461no—
1483C2×C4—1461no—
1484C2×C4—1461no—
1485C2×C4—1461no—
1486C2×C4—1461no—
1487C2×C4—1461no—
1488C2×C4—1461no—
1489C2×C4—1461no—
1490C2×C4—1461no—
1491C2×C4—1461no—
1492C2×C4—1461no—
1493C2×C4—1461no—
1494C2×C4—1461no—
1495C2×C4—1461no—
1496C2×C4—1461no—
1497C2×C4—1461no—
1498C2×C4—1461no—
1499C2×C4—1461no—
1500C2×C4—1461no—
1501C2×C4—1461no—
1502C2×C4—1461no—
1503C2×C4—1461no—
1504C2×C4—1461no—
1505C2×C4—1461no—
1506C2×C4—1461no—
1507C2×C4—1461no—
1508C2×C4—1461no—
1509C2×C4—1461no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—2921no—
1532C22—2921no—
1533C22—2921no—
1534C22—2921no—
1535C22—2921no—
1536C22—2921no—
1537C22—2921no—
1538C22—2921no—
1539C22—2921no—
1540C22—2921no—
1541C22—2921no—
1542C22—5848no—
1543C22—5848no—
1544C22—734no—
1545C22—1462no—
1546C22—1462no—
1547C22—1462no—
1548C22—1462no—
1549C22—1462no—
1550C22—1462no—
1551C22—1462no—
1552C22—1462no—
1553C22—1462no—
1554C22C2×#41×D7311yescharacteristic
1555C22H(5,𝔽2)×D7311yescharacteristic
1556C22H(5,𝔽2)×D7311yescharacteristic
1557C22H(5,𝔽2)×D7311yescharacteristic
1558C22#1798942211yescharacteristic
1559C22#1798942311yescharacteristic
1560C22#1798942311yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—2921no—
1574C4—2921no—
1575C4—2921no—
1576C4—2921no—
1577C4—2921no—
1578C4—2921no—
1579C4—2921no—
1580C4—2921no—
1581C4—2921no—
1582C4—2921no—
1583C4—2921no—
1584C4—2921no—
1585C4—1462no—
1586C2—42no—
1587C2—81no—
1588C2—81no—
1589C2—2922no—
1590C2—5841no—
1591C2—1464no—
1592C2#538×D7311yescharacteristic
1593C2#2262362211yescharacteristic
1594C2#2262376411yescharacteristic
1595C2#2262408911yescharacteristic
1596C2#2262411211yescharacteristic
1597C2#2262444211yescharacteristic
1598C2#2262447611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2778C2
prime radical#22613298C2
hypercenter#2778D73
hypocenterC73#36986
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2778

Complements

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

NH ≅ G/Ntype
1. #22618258C2semidirect
2. #22618251C2semidirect
3. #22617788C2semidirect
4. #22617568C2semidirect
5. #22617561C2semidirect
6. #22617443C2semidirect
7. #22617373C2semidirect
8. #22617210C2semidirect
9. #22617181C2semidirect
10. #22617172C2semidirect
11. #22617042C2semidirect
12. #22616978C2semidirect
13. #22616967C2semidirect
14. #22616564C2semidirect
15. #22616495C2semidirect
16. #22616485C2semidirect
17. #22616324C2semidirect
18. #22615889C2semidirect
19. #22615862C2semidirect
20. #22614252C2semidirect
21. #22614187C2semidirect
22. #22613665C2semidirect
23. #22613599C2semidirect
24. #22613481C2semidirect
25. #22613326C2semidirect
27. #22613253C2semidirect
28. #22612587C2semidirect
29. #22612505C2semidirect
30. #388×D73C2semidirect
31. C73×#2778C2semidirect
33. C2×#14556584C22semidirect
35. C2×#14556574C22semidirect
37. C2×#14556573C22semidirect
38. C2×#14556569C22semidirect
39. C2×#14556568C22semidirect
44. C2×C4×C22⋊D73C22semidirect
45. C2×C4⋊C4×D73C22semidirect
50. C2×C42×D73C22semidirect
51. #17988529C22semidirect
52. #17988529C22semidirect
53. #17988529C22semidirect
54. #17988528C22semidirect
55. #17988528C22semidirect
56. #17988527C22semidirect
57. #17988526C22semidirect
58. #17988525C22semidirect
60. #17988522C22semidirect
61. #17988521C22semidirect
62. #17988519C22semidirect
64. #17988516C22semidirect
65. #17988515C22semidirect
66. #17988515C22semidirect
67. #17988515C22semidirect
68. #17988515C22semidirect
70. #17988514C22semidirect
71. #17988514C22semidirect
72. #17988514C22semidirect
74. #17988511C22semidirect
75. #17988510C22semidirect
76. #17988510C22semidirect
81. #17988503C22semidirect
86. #17988501C22semidirect
87. #17988501C22semidirect
89. #17988500C22semidirect
90. #17988499C22semidirect
91. #17988499C22semidirect
93. #17988492C22semidirect
94. #17988490C22semidirect
96. #17988487C22semidirect
97. #17988487C22semidirect
98. #17988484C22semidirect
99. #17988484C22semidirect
100. #17988482C22semidirect
101. #17988481C22semidirect
102. #17988481C22semidirect
103. #17988480C22semidirect
104. #17988480C22semidirect
105. #17988480C22semidirect
108. #17988479C22semidirect
110. #17988478C22semidirect
112. #17988477C22semidirect
113. #17988477C22semidirect
116. #17988476C22semidirect
117. #17988475C22semidirect
118. #17988475C22semidirect
119. #17988475C22semidirect
120. #17988475C22semidirect
121. #17988475C22semidirect
122. #17988475C22semidirect
123. #17988474C22semidirect
124. #17988473C22semidirect
125. #17988472C22semidirect
126. #17988471C22semidirect
127. #17988470C22semidirect
128. #17988470C22semidirect
129. #17988469C22semidirect
131. #17988467C22semidirect
144. #17988463C22semidirect
145. #17988463C22semidirect
148. #17988461C22semidirect
149. #17988461C22semidirect
150. #17988461C22semidirect
151. #17988460C22semidirect
152. #17988459C22semidirect
154. #17988458C22semidirect
155. #17988451C22semidirect
158. #17988449C22semidirect
159. #17988447C22semidirect
160. #17988447C22semidirect
161. #17988446C22semidirect
162. #17988445C22semidirect
169. #17988434C22semidirect
170. #95×D73C22semidirect
171. #95×D73C22semidirect
172. #401×C73C22semidirect
173. #400×C73C22semidirect
174. #397×C73C22semidirect
176. #394×C73C22semidirect
178. #388×C73C22semidirect
179. #388×C73C22semidirect
180. #388×C73C22semidirect
182. #386×C73C22semidirect
183. #386×C73C22semidirect
184. #386×C73C22semidirect
185. #385×C73C22semidirect
186. #380×C73C22semidirect
805. #2778D73semidirect
831. C73#36986semidirect
851. #401C2×D73semidirect
860. #400C2×D73semidirect
875. #397C2×D73semidirect
892. #394C2×D73semidirect
929. #388C2×D73semidirect
930. #388C2×D73semidirect
931. #388C2×D73semidirect
956. #386C2×D73semidirect
957. #386C2×D73semidirect
958. #386C2×D73semidirect
968. #385C2×D73semidirect
977. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226182582
#226182512
#226177882
#226175682
#226175612
#226174432
#226173732
#226172102
#226171812
#226171722
#226170422
#226169782
#226169672
#226165642
#226164952
#226164852
#226163242
#226158892
#226158622
#226142522
#226141872
#226136652
#226135992
#226134812
#226133262
#226132982
#226132532
#226125872
#226125052
#388×D732
C73×#27782
#3698673