Finite Group Databasebeta

← #33969103

Subgroups — #33969103

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624031C211yesmaximal, characteristic, complemented
2#22623950C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622869C211yesmaximal, characteristic, complemented
5#22622680C211yesmaximal, characteristic, complemented
6#22622665C211yesmaximal, characteristic, complemented
7#22622484C211yesmaximal, characteristic, complemented
8#22622431C211yesmaximal, characteristic, complemented
9#22622429C211yesmaximal, characteristic, complemented
10#22622186C211yesmaximal, characteristic, complemented
11#22622112C211yesmaximal, characteristic, complemented
12#22622073C211yesmaximal, characteristic, complemented
13#22621953C211yesmaximal, characteristic, complemented
14#22621932C211yesmaximal, characteristic, complemented
15#22621549C211yesmaximal, characteristic, complemented
16#22621430C211yesmaximal, characteristic, complemented
17#22621422C211yesmaximal, characteristic, complemented
18#22620621C211yesmaximal, characteristic, complemented
19#22620576C211yesmaximal, characteristic, complemented
20#22620521C211yesmaximal, characteristic, complemented
21#22620218C211yesmaximal, characteristic, complemented
22#22620168C211yesmaximal, characteristic, complemented
23#22620127C211yesmaximal, characteristic, complemented
24#22620120C211yesmaximal, characteristic, complemented
25#22620077C211yesmaximal, characteristic, complemented
26#22620064C211yesmaximal, characteristic, complemented
27#22618917C211yesmaximal, characteristic, complemented
28#22618793C211yesmaximal, characteristic, complemented
29#22618756C211yesmaximal, characteristic, complemented
30#22618735C211yesmaximal, characteristic, complemented
31C73×#3325C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556615C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989320C2211yescharacteristic, complemented
36#17989319—21no—
37#17989312C2211yescharacteristic, complemented
38#17989301C2211yescharacteristic
39#17989299—21no—
40#17989296C2211yescharacteristic
41#17989289C2211yescharacteristic
42#17989283C2211yescharacteristic
43#17989281C2211yescharacteristic, complemented
44#17989280—21no—
45#17989280—21no—
46#17989276C2211yescharacteristic, complemented
47#17989270—21no—
48#17989257C2211yescharacteristic
49#17989255C2211yescharacteristic, complemented
50#17989246C2211yescharacteristic, complemented
51#17989243C2211yescharacteristic, complemented
52#17989231—21no—
53#17989224—21no—
54#17989224—21no—
55D4×C22⋊D73C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57#17989211C2211yescharacteristic, complemented
58#17989201—21no—
59#17989191C2211yescharacteristic
60#17989190C2211yescharacteristic
61#17989190C2211yescharacteristic, complemented
62#17989187—21no—
63#17989174—21no—
64#17989172—21no—
65#17989132C2211yescharacteristic
66#17989118C2211yescharacteristic, complemented
67#17989117C2211yescharacteristic
68#17989116—21no—
69#17989115—21no—
70#17989093—21no—
71C2×#14556563—21no—
72#17989066C2211yescharacteristic, complemented
73#17989064C2211yescharacteristic, complemented
74#17989062C2211yescharacteristic
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988987C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic
103#17988889C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic
107#17988871C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988833C2211yescharacteristic, complemented
114#17988832C2211yescharacteristic, complemented
115#17988831C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988821C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic
122#17988800C2211yescharacteristic
123#17988800C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic
130#17988780C2211yescharacteristic, complemented
131#17988739C2211yescharacteristic
132#17988738C2211yescharacteristic
133#17988734C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988729C2211yescharacteristic, complemented
136#17988729C2211yescharacteristic, complemented
137#17988728C2211yescharacteristic, complemented
138#17988725C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988717C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988699C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988687C2211yescharacteristic
151#17988686C2211yescharacteristic, complemented
152#17988684C2211yescharacteristic
153#17988684C2211yescharacteristic
154#17988684C2211yescharacteristic
155#17988684C2211yescharacteristic, complemented
156#17988684C2211yescharacteristic, complemented
157#17988684C2211yescharacteristic, complemented
158#17988684C2211yescharacteristic, complemented
159#17988678C2211yescharacteristic
160#17988678C2211yescharacteristic
161#17988678C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988597C2211yescharacteristic, complemented
182#17988589C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic
194#469×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic
199C4×D8×C73C2211yescharacteristic
200#436×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#418×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C23×Dic73—21no—
212#14556617—24no—
213#14556615—24no—
214C2×#11924017C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016—24no—
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924012C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589—21no—
234#14556587—21no—
235#14556587C2311yescharacteristic
236#14556587C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586D411yescharacteristic
241#14556585—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584D411yescharacteristic
246#14556583—21no—
247#14556583C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581D411yescharacteristic
254#14556580—21no—
255#14556579C2311yescharacteristic
256#14556578—21no—
257#14556578C2311yescharacteristic
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575D411yescharacteristic
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556572D411yescharacteristic
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568D411yescharacteristic
288#14556567—21no—
289#14556566C2311yescharacteristic
290#14556565C2311yescharacteristic
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556564—21no—
294#14556564—21no—
295#14556563—21no—
296#14556563—21no—
297#14556563—21no—
298#14556563—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563D411yescharacteristic
311#14556562—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317#14556560—21no—
318#14556559—21no—
319#14556559—21no—
320Q8×Dic73—21no—
321C4×Dic146—21no—
322C4×Dic146—21no—
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556C2311yescharacteristic
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292C2311yescharacteristic
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73—21no—
337D4×Dic73—21no—
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343D4×Dic73C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550C2311yescharacteristic
364#14556550C2311yescharacteristic
365#14556549C2311yescharacteristic
366#14556548—21no—
367#14556548—21no—
368#14556548C2311yescharacteristic
369#14556547—21no—
370#14556547—21no—
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374C2×C4⋊Dic73C2311yescharacteristic
375C2×#11924007—21no—
376C2×#11924007—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×C22⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73—21no—
439C22×D4×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#124×C73—21no—
449#124×C73—21no—
450#121×C73—21no—
451#121×C73—21no—
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457#120×C73—21no—
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—41no—
484#11924027—22no—
485#11924027—41no—
486#11924027—82no—
487#11924027—82no—
488C2×Dic146—22no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—41no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×D292—21no—
496C2×D292C2411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—82no—
513C2×C22⋊D73—82no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—22no—
517D4×D73—41no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—82no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73C2411yescharacteristic
539#11924017—22no—
540#11924017—41no—
541#11924016—22no—
542#11924016—22no—
543#11924016—22no—
544#11924016—22no—
545#11924016—41no—
546#11924016#4114yescomplemented
547D584—41no—
548#11924013—22no—
549#11924013—22no—
550#11924013—22no—
551#11924013—41no—
552#11924012—22no—
553#11924011—22no—
554C2×#10596831—22no—
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C8×D73—41no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C24×C73—21no—
641C2×Q8×C73—21no—
642C2×D4×C73—22no—
643C2×D4×C73—22no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—41no—
653C2×D4×C73—41no—
654C2×D4×C73—82no—
655C2×D4×C73C2×D411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C2×D4×C73C2411yescharacteristic
658C2×D4×C73C2411yescharacteristic
659C2×D4×C73C2411yescharacteristic
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73C2411yescharacteristic
663C22×C4×C73C2411yescharacteristic
664D8×C73—22no—
665D8×C73—41no—
666D8×C73—41no—
667M16×C73—41no—
668M16×C73—41no—
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C4⋊C4×C73—21no—
674C4⋊C4×C73C2×D411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—42no—
699C23×C73—81no—
700C23×C73—81no—
701C23×C73—81no—
702C23×C73C22×D411yescharacteristic
703C23×C73C22×D411yescharacteristic
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—42no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73C22×D411yescharacteristic
710Q8×C73—81no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—41no—
719D4×C73—42no—
720D4×C73—42no—
721D4×C73—42no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73—81no—
727D4×C73C2×#4112yes—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—81no—
737C2×C4×C73—81no—
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C22⋊D73—41no—
744C22⋊D73—41no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—41no—
766C2×Dic73—41no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—42no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—81no—
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—41no—
802Dic146—42no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—22no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—84no—
832C22×C73—162no—
833C22×C73C23×D411yescharacteristic
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—21no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C22×#4111yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—22no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—42no—
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73—81no—
874C2×C73D4×#4111yescharacteristic
875C2×C73#358511yescharacteristic
876C2×C73#358511yescharacteristic
877D73—41no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325D7311yescharacteristic, complemented
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—1461no—
920#555C2×D7311yescharacteristic, complemented
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42C2×D7311yescharacteristic
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486C2×D7311yescharacteristic, complemented
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482C2×D7311yescharacteristic, complemented
980#482C2×D7311yescharacteristic, complemented
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476C2×D7311yescharacteristic
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469C2×D7311yescharacteristic, complemented
1000#469C2×D7311yescharacteristic, complemented
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459C2×D7311yescharacteristic, complemented
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447C2×D7311yescharacteristic
1031#447C2×D7311yescharacteristic
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8C2×D7311yescharacteristic
1062#436—731no—
1063#436C2×D7311yescharacteristic, complemented
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418C2×D7311yescharacteristic
1076#418C2×D7311yescharacteristic
1077#417—731no—
1078#416—731no—
1079C2×#102—731no—
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—21no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C22×D4—1461no—
1092C22×D4C22×D7311yescharacteristic
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—731no—
1104C2×SD16—731no—
1105C2×SD16—1464no—
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8C22×D7311yescharacteristic
1112C2×D8C22×D7311yescharacteristic
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16C22×D7311yescharacteristic
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8—731no—
1120C4⋊Q8—731no—
1121C4⋊Q8—1461no—
1122C4⋊Q8C22×D7311yescharacteristic
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—1461no—
1127#127C22×D7311yescharacteristic
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#124—21no—
1145#124—21no—
1146#124—731no—
1147#124—731no—
1148#124—731no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—731no—
1157#123—731no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—21no—
1182#121—21no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—1461no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121C22×D7311yescharacteristic
1211#121C22×D7311yescharacteristic
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—21no—
1215#120—21no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8—1461no—
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4—1461no—
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107—731no—
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97—731no—
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8C22×D7311yescharacteristic
1361C24—21no—
1362C24—21no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—21no—
1371C2×Q8—2921no—
1372C2×Q8—731no—
1373C2×Q8—731no—
1374C2×Q8—731no—
1375C2×Q8—1462no—
1376C2×Q8—1461no—
1377C2×Q8—1461no—
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—82no—
1391C2×D4—2921no—
1392C2×D4—5842no—
1393C2×D4—5842no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—731no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4D4×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—5842no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—2921no—
1445SD16—2921no—
1446SD16—734no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—22no—
1453D8—41no—
1454D8—41no—
1455D8—2921no—
1456D8—2921no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—41no—
1461M16—41no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—2921no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—731no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—42no—
1577C23—42no—
1578C23—42no—
1579C23—81no—
1580C23—81no—
1581C23—81no—
1582C23—2922no—
1583C23—5841no—
1584C23—5841no—
1585C23—731no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—81no—
1591Q8—2922no—
1592Q8—2921no—
1593Q8—5841no—
1594Q8—732no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—21no—
1604D4—21no—
1605D4—41no—
1606D4—42no—
1607D4—42no—
1608D4—42no—
1609D4—81no—
1610D4—81no—
1611D4—81no—
1612D4—81no—
1613D4—81no—
1614D4—2922no—
1615D4—2922no—
1616D4—2922no—
1617D4—2921no—
1618D4—2921no—
1619D4—2922no—
1620D4—2922no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4#41×D7312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2921no—
1651C2×C4—2921no—
1652C2×C4—2922no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—732no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—21no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—84no—
1712C22—162no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—11682no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—1462no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942211yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—81no—
1753C2—2921no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262341511yescharacteristic
1757C2#2262470611yescharacteristic
1758C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3325C2
socleC22×C73C23×D4
hypercenter#3325D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3325

Complements

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

NH ≅ G/Ntype
1. #22624031C2semidirect
2. #22623950C2semidirect
3. #22622976C2semidirect
4. #22622869C2semidirect
5. #22622680C2semidirect
6. #22622665C2semidirect
7. #22622484C2semidirect
8. #22622431C2semidirect
9. #22622429C2semidirect
10. #22622186C2semidirect
11. #22622112C2semidirect
12. #22622073C2semidirect
13. #22621953C2semidirect
14. #22621932C2semidirect
15. #22621549C2semidirect
16. #22621430C2semidirect
17. #22621422C2semidirect
18. #22620621C2semidirect
19. #22620576C2semidirect
20. #22620521C2semidirect
21. #22620218C2semidirect
22. #22620168C2semidirect
23. #22620127C2semidirect
24. #22620120C2semidirect
25. #22620077C2semidirect
26. #22620064C2semidirect
27. #22618917C2semidirect
28. #22618793C2semidirect
29. #22618756C2semidirect
30. #22618735C2semidirect
31. C73×#3325C2semidirect
35. #17989320C22semidirect
37. #17989312C22semidirect
43. #17989281C22semidirect
46. #17989276C22semidirect
49. #17989255C22semidirect
50. #17989246C22semidirect
51. #17989243C22semidirect
57. #17989211C22semidirect
61. #17989190C22semidirect
66. #17989118C22semidirect
72. #17989066C22semidirect
73. #17989064C22semidirect
76. #17989055C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988987C22semidirect
81. #17988975C22semidirect
82. #17988974C22semidirect
83. #17988962C22semidirect
84. #17988950C22semidirect
85. #17988950C22semidirect
86. #17988950C22semidirect
87. #17988945C22semidirect
88. #17988942C22semidirect
89. #17988931C22semidirect
90. #17988918C22semidirect
91. #17988913C22semidirect
92. #17988912C22semidirect
93. #17988911C22semidirect
94. #17988911C22semidirect
95. #17988908C22semidirect
96. #17988904C22semidirect
97. #17988899C22semidirect
98. #17988898C22semidirect
99. #17988897C22semidirect
100. #17988895C22semidirect
101. #17988893C22semidirect
103. #17988889C22semidirect
104. #17988889C22semidirect
105. #17988887C22semidirect
107. #17988871C22semidirect
108. #17988866C22semidirect
109. #17988864C22semidirect
110. #17988840C22semidirect
111. #17988839C22semidirect
112. #17988838C22semidirect
113. #17988833C22semidirect
114. #17988832C22semidirect
115. #17988831C22semidirect
116. #17988822C22semidirect
117. #17988821C22semidirect
118. #17988821C22semidirect
119. #17988815C22semidirect
120. #17988803C22semidirect
123. #17988800C22semidirect
124. #17988786C22semidirect
125. #17988786C22semidirect
126. #17988786C22semidirect
127. #17988784C22semidirect
128. #17988781C22semidirect
130. #17988780C22semidirect
133. #17988734C22semidirect
134. #17988730C22semidirect
135. #17988729C22semidirect
136. #17988729C22semidirect
137. #17988728C22semidirect
138. #17988725C22semidirect
141. #17988717C22semidirect
142. #17988716C22semidirect
144. #17988699C22semidirect
145. #17988698C22semidirect
146. #17988697C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
151. #17988686C22semidirect
155. #17988684C22semidirect
156. #17988684C22semidirect
157. #17988684C22semidirect
158. #17988684C22semidirect
161. #17988678C22semidirect
162. #17988678C22semidirect
163. #17988678C22semidirect
164. C4×#11924017C22semidirect
165. #17988674C22semidirect
166. D8×Dic73C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988662C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
173. #17988656C22semidirect
174. #17988655C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988628C22semidirect
180. #17988623C22semidirect
181. #17988597C22semidirect
182. #17988589C22semidirect
183. #17988580C22semidirect
185. #17988545C22semidirect
186. #17988541C22semidirect
187. M16×Dic73C22semidirect
188. #555×C73C22semidirect
190. #486×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
194. #469×C73C22semidirect
195. #469×C73C22semidirect
196. #459×C73C22semidirect
200. #436×C73C22semidirect
546. #11924016#41semidirect
890. #3325D73semidirect
911. C73#61504semidirect
920. #555C2×D73semidirect
971. #486C2×D73semidirect
979. #482C2×D73semidirect
980. #482C2×D73semidirect
999. #469C2×D73semidirect
1000. #469C2×D73semidirect
1019. #459C2×D73semidirect
1063. #436C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240312
#226239502
#226229762
#226228692
#226226802
#226226652
#226224842
#226224312
#226224292
#226221862
#226221122
#226220732
#226219532
#226219322
#226215492
#226214302
#226214222
#226206212
#226205762
#226205212
#226202182
#226201682
#226201272
#226201202
#226200772
#226200642
#226189172
#226187932
#226187562
#226187352
C73×#33252
#6150473