Finite Group Databasebeta

← #33979770

Subgroups — #33979770

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624509C211yesmaximal, characteristic, complemented
2#22623878C211yesmaximal, characteristic, complemented
3#22622995C211yesmaximal, characteristic, complemented
4#22622943C211yesmaximal, characteristic, complemented
5#22622682C211yesmaximal, characteristic, complemented
6#22622577C211yesmaximal, characteristic, complemented
7#22622234C211yesmaximal, characteristic, complemented
8#22622197C211yesmaximal, characteristic, complemented
9#22622178C211yesmaximal, characteristic, complemented
10#22622053C211yesmaximal, characteristic, complemented
11#22621888C211yesmaximal, characteristic, complemented
12#22621643C211yesmaximal, characteristic, complemented
13#22621544C211yesmaximal, characteristic, complemented
14#22621542C211yesmaximal, characteristic, complemented
15#22621538C211yesmaximal, characteristic, complemented
16#22621453C211yesmaximal, characteristic, complemented
17#22621423C211yesmaximal, characteristic, complemented
18#22621371C211yesmaximal, characteristic, complemented
19#22621335C211yesmaximal, characteristic, complemented
20#22621331C211yesmaximal, characteristic, complemented
21#22621036C211yesmaximal, characteristic, complemented
22#22620977C211yesmaximal, characteristic, complemented
23#22620908C211yesmaximal, characteristic, complemented
24#22620170C211yesmaximal, characteristic, complemented
25#22620140C211yesmaximal, characteristic, complemented
26#22619976C211yesmaximal, characteristic, complemented
27#22619475C211yesmaximal, characteristic, complemented
28#22619446C211yesmaximal, characteristic, complemented
29#22619393C211yesmaximal, characteristic, complemented
30#22619081C211yesmaximal, characteristic, complemented
31C73×#3297C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556617C2211yescharacteristic
34C2×#14556616C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556613C2211yescharacteristic
37C22×#11924017C2211yescharacteristic, complemented
38#17989334—21no—
39#17989326—21no—
40#17989320C2211yescharacteristic, complemented
41#17989320C2211yescharacteristic, complemented
42#17989306C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989287—21no—
45#17989284—21no—
46#17989276C2211yescharacteristic, complemented
47#17989265—21no—
48#17989263—21no—
49#17989262—21no—
50#17989256C2211yescharacteristic
51#17989246C2211yescharacteristic, complemented
52#17989243C2211yescharacteristic
53#17989239C2211yescharacteristic, complemented
54#17989238C2211yescharacteristic
55#17989234—21no—
56#17989234C2211yescharacteristic
57#17989233C2211yescharacteristic
58#17989231C2211yescharacteristic, complemented
59#17989221C2211yescharacteristic, complemented
60#17989204C2211yescharacteristic, complemented
61#17989197C2211yescharacteristic, complemented
62#17989190C2211yescharacteristic
63#17989190C2211yescharacteristic, complemented
64#17989187—21no—
65#17989180—21no—
66#17989178—21no—
67#17989175—21no—
68#17989172—21no—
69#17989169—21no—
70#17989158C2211yescharacteristic, complemented
71#17989154C2211yescharacteristic, complemented
72#17989136C2211yescharacteristic, complemented
73#17989122C2211yescharacteristic, complemented
74#17989119C2211yescharacteristic
75#17989119C2211yescharacteristic, complemented
76#17989096—21no—
77#123×D73—21no—
78#17989068C2211yescharacteristic
79#17989061C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988971C2211yescharacteristic, complemented
84#17988970C2211yescharacteristic, complemented
85#17988969C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic
87#17988950C2211yescharacteristic, complemented
88#17988945C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988940C2211yescharacteristic, complemented
91#17988936C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988893C2211yescharacteristic, complemented
98#17988892C2211yescharacteristic, complemented
99#17988891C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988810C2211yescharacteristic, complemented
116#17988808C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic
122#17988801C2211yescharacteristic
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic
130#17988796C2211yescharacteristic, complemented
131#17988791C2211yescharacteristic, complemented
132#17988791C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988791C2211yescharacteristic, complemented
135#17988790C2211yescharacteristic, complemented
136#17988786C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic, complemented
138#17988786C2211yescharacteristic, complemented
139#17988785C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic
142#17988781C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988752C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic
146#17988750C2211yescharacteristic, complemented
147#17988749C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic
149#17988745C2211yescharacteristic, complemented
150#17988739C2211yescharacteristic, complemented
151#17988735C2211yescharacteristic, complemented
152#17988734C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic
154#17988730C2211yescharacteristic, complemented
155#17988725C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988721C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic
159#17988719C2211yescharacteristic
160#17988714C2211yescharacteristic, complemented
161C8×Dic146C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988691C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic, complemented
166#17988681C2211yescharacteristic, complemented
167C4×#11924017C2211yescharacteristic, complemented
168C4×#11924016C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988669C2211yescharacteristic, complemented
171C4×#11924013C2211yescharacteristic
172#17988667C2211yescharacteristic
173#17988665C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988662C2211yescharacteristic, complemented
176#17988658C2211yescharacteristic, complemented
177#17988658C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988645C2211yescharacteristic, complemented
180#17988638C2211yescharacteristic, complemented
181#17988613C2211yescharacteristic, complemented
182#17988613C2211yescharacteristic, complemented
183#17988609C2211yescharacteristic, complemented
184#17988595C2211yescharacteristic, complemented
185#17988587C2211yescharacteristic, complemented
186#17988586C2211yescharacteristic, complemented
187#17988585C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic, complemented
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic, complemented
199C4×D8×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C2×D4×D73—21no—
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556618—42no—
214#14556617—42no—
215#14556616—42no—
216#14556615—42no—
217#14556613—42no—
218C2×Dic292C2311yescharacteristic
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924017—42no—
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×#11924015C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924012C2311yescharacteristic
241C2×#11924012C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556589C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556586—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556584D411yescharacteristic
260#14556584D411yescharacteristic
261#14556583—21no—
262#14556582—21no—
263#14556582D411yescharacteristic
264#14556582C2311yescharacteristic
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556579C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578—21no—
270#14556578D411yescharacteristic
271#14556578C2311yescharacteristic
272#14556578C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556575—21no—
284#14556575—21no—
285#14556574—21no—
286#14556574—21no—
287#14556574—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573D411yescharacteristic
297#14556573D411yescharacteristic
298#14556572—21no—
299#14556572—21no—
300#14556572—21no—
301#14556572—21no—
302#14556571—21no—
303#14556571D411yescharacteristic
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556570—21no—
307#14556570—21no—
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556569—21no—
311#14556569—21no—
312#14556569—21no—
313#14556569—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556566C2311yescharacteristic
318#14556565—21no—
319#14556565C2311yescharacteristic
320#14556565C2311yescharacteristic
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562D411yescharacteristic
338#14556562C2311yescharacteristic
339#14556561—21no—
340#14556560—21no—
341#14556560—21no—
342#14556560—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346Q8×Dic73C2311yescharacteristic
347C4×Dic146C2311yescharacteristic
348C4×Dic146C2311yescharacteristic
349#14556556C2311yescharacteristic
350#14556556C2311yescharacteristic
351#14556556C2311yescharacteristic
352C4×D292—21no—
353C4×D292—21no—
354C4×D292C2311yescharacteristic
355D4×Dic73—21no—
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358#14556553—21no—
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73C2311yescharacteristic
373C4×C22⋊D73C2311yescharacteristic
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556550—21no—
379#14556550C2311yescharacteristic
380#14556550C2311yescharacteristic
381#14556549—21no—
382#14556549—21no—
383#14556548—21no—
384#14556547—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C2×C22⋊Dic73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C4×#10596831C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73—21no—
456#121×C73C2311yescharacteristic
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460C4×D4×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—22no—
489#11924028—41no—
490#11924028—41no—
491#11924028—41no—
492#11924028—82no—
493#11924027—41no—
494#11924027—41no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—41no—
498C2×Dic146—41no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—41no—
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73C2×D411yescharacteristic
525C2×C22⋊D73C2×D411yescharacteristic
526D4×D73—22no—
527D4×D73—41no—
528D4×D73—82no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—82no—
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548Dic292—41no—
549Dic292—41no—
550#11924018—41no—
551#11924017—22no—
552#11924017—22no—
553#11924017—41no—
554#11924017—41no—
555#11924017—41no—
556#11924016—41no—
557#11924016—41no—
558#11924016—41no—
559#11924016—41no—
560#11924015—22no—
561#11924015—41no—
562D584—22no—
563D584—41no—
564#11924013—22no—
565#11924013—22no—
566#11924013—41no—
567#11924013—41no—
568#11924013—41no—
569#11924012—41no—
570#11924012—41no—
571#11924011—41no—
572#11924011—41no—
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C2×#10596831C2411yescharacteristic
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622C22⋊Dic73C2×D411yescharacteristic
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625C22⋊Dic73C2×D411yescharacteristic
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C24×C73—21no—
655#41×C73—41no—
656#41×C73—41no—
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—41no—
664C2×D4×C73—41no—
665C2×D4×C73C2×D411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675SD16×C73—41no—
676D8×C73—41no—
677D8×C73—41no—
678C2×C8×C73—41no—
679C2×C8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73C22×D411yescharacteristic
713C23×C73C22×D411yescharacteristic
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—42no—
718C22×D73—42no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73—81no—
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—41no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73—81no—
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C2511yescharacteristic
756C22⋊D73—41no—
757C22⋊D73—41no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C22⋊D73—81no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—42no—
793D292—42no—
794D292—81no—
795D292H(5,𝔽2)12yes—
796C4×D73—21no—
797C4×D73—21no—
798C4×D73—41no—
799C4×D73—41no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—162no—
844C22×C73C23×D411yescharacteristic
845C2×D73—21no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—22no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—84no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73C2×H(5,𝔽2)11yescharacteristic
869C4×C73#58511yescharacteristic
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—41no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—42no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297D7311yescharacteristic, complemented
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260—731no—
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—1461no—
940#553—1461no—
941#553C2×D7311yescharacteristic
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—1461no—
955#546C2×D7311yescharacteristic, complemented
956D42—731no—
957#542—731no—
958#541—731no—
959#540—731no—
960#540—731no—
961#540—1461no—
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488C2×D7311yescharacteristic, complemented
989#487—731no—
990#484—731no—
991#484C2×D7311yescharacteristic, complemented
992#483—731no—
993#482—731no—
994#482C2×D7311yescharacteristic, complemented
995#481—731no—
996#479—731no—
997#479—731no—
998#479—731no—
999#479—731no—
1000#478—731no—
1001#478—731no—
1002#478—731no—
1003#478C2×D7311yescharacteristic, complemented
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468—731no—
1013#468—731no—
1014#466C2×D7311yescharacteristic
1015#465—731no—
1016#465—731no—
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463C2×D7311yescharacteristic, complemented
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461—731no—
1039#461—731no—
1040#460—731no—
1041#460—731no—
1042#460—731no—
1043#460—731no—
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447C2×D7311yescharacteristic, complemented
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8C2×D7311yescharacteristic, complemented
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4C2×D7311yescharacteristic, complemented
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424—731no—
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416C2×D7311yescharacteristic, complemented
1097C2×#102C2×D7311yescharacteristic, complemented
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41C22×D7311yescharacteristic
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8C22×D7311yescharacteristic
1139C2×D8C22×D7311yescharacteristic
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16—731no—
1144C22×C8C22×D7311yescharacteristic
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#127—1461no—
1153#126—21no—
1154#126—731no—
1155#126—731no—
1156#126—1461no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—731no—
1165#125—731no—
1166#125—731no—
1167#125—1461no—
1168#125—1461no—
1169#125—1461no—
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—1461no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124C22×D7311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—731no—
1187#123—731no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—731no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—21no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×D4—21no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4C22×D7311yescharacteristic
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—1461no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8—731no—
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103—731no—
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102C22×D7311yescharacteristic
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8C22×D7311yescharacteristic
1372C22⋊C8C22×D7311yescharacteristic
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8C22×D7311yescharacteristic
1379C24—21no—
1380C24—1461no—
1381C24—1461no—
1382#41—41no—
1383#41—41no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—5842no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—1461no—
1418C2×D4—1462no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1462no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4D4×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—5842no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4C23×D7311yescharacteristic
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—41no—
1468SD16—2921no—
1469SD16—2921no—
1470SD16—2921no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—41no—
1480D8—41no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—2921no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—41no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—731no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—2922no—
1608C23—2922no—
1609C23—2922no—
1610C23—5841no—
1611C23—5841no—
1612C23—5841no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23C2×D4×D7311yescharacteristic
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—2921no—
1622Q8—5841no—
1623Q8—5841no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—41no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—2922no—
1643D4—2922no—
1644D4—2922no—
1645D4—2921no—
1646D4—2921no—
1647D4—2922no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—732no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2922no—
1680C2×C4—2921no—
1681C2×C4—2921no—
1682C2×C4—2922no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—5841no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—731no—
1702C2×C4—731no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—5844no—
1748C22—11682no—
1749C22—1462no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942311yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—2922no—
1783C2—2921no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359411yescharacteristic
1787C2#2262470011yescharacteristic
1788C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3297C2
socleC22×C73C23×D4
hypercenter#3297D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3297

Complements

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

NH ≅ G/Ntype
1. #22624509C2semidirect
2. #22623878C2semidirect
3. #22622995C2semidirect
4. #22622943C2semidirect
5. #22622682C2semidirect
6. #22622577C2semidirect
7. #22622234C2semidirect
8. #22622197C2semidirect
9. #22622178C2semidirect
10. #22622053C2semidirect
11. #22621888C2semidirect
12. #22621643C2semidirect
13. #22621544C2semidirect
14. #22621542C2semidirect
15. #22621538C2semidirect
16. #22621453C2semidirect
17. #22621423C2semidirect
18. #22621371C2semidirect
19. #22621335C2semidirect
20. #22621331C2semidirect
21. #22621036C2semidirect
22. #22620977C2semidirect
23. #22620908C2semidirect
24. #22620170C2semidirect
25. #22620140C2semidirect
26. #22619976C2semidirect
27. #22619475C2semidirect
28. #22619446C2semidirect
29. #22619393C2semidirect
30. #22619081C2semidirect
31. C73×#3297C2semidirect
32. C2×#14556618C22semidirect
37. C22×#11924017C22semidirect
40. #17989320C22semidirect
41. #17989320C22semidirect
42. #17989306C22semidirect
43. #17989293C22semidirect
46. #17989276C22semidirect
51. #17989246C22semidirect
53. #17989239C22semidirect
58. #17989231C22semidirect
59. #17989221C22semidirect
60. #17989204C22semidirect
61. #17989197C22semidirect
63. #17989190C22semidirect
70. #17989158C22semidirect
71. #17989154C22semidirect
72. #17989136C22semidirect
73. #17989122C22semidirect
75. #17989119C22semidirect
79. #17989061C22semidirect
80. C4×D4×D73C22semidirect
81. #17988978C22semidirect
83. #17988971C22semidirect
84. #17988970C22semidirect
85. #17988969C22semidirect
87. #17988950C22semidirect
88. #17988945C22semidirect
89. #17988944C22semidirect
90. #17988940C22semidirect
91. #17988936C22semidirect
92. #17988924C22semidirect
93. #17988917C22semidirect
94. #17988911C22semidirect
95. #17988904C22semidirect
96. #17988897C22semidirect
97. #17988893C22semidirect
98. #17988892C22semidirect
99. #17988891C22semidirect
100. #17988890C22semidirect
101. #17988889C22semidirect
102. #17988886C22semidirect
103. #17988875C22semidirect
104. #17988866C22semidirect
105. #17988846C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
109. #17988834C22semidirect
110. #17988832C22semidirect
111. #17988831C22semidirect
112. #17988831C22semidirect
113. #17988816C22semidirect
114. #17988816C22semidirect
115. #17988810C22semidirect
116. #17988808C22semidirect
117. #17988808C22semidirect
118. #17988803C22semidirect
119. #17988802C22semidirect
120. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988801C22semidirect
126. #17988801C22semidirect
127. #17988800C22semidirect
128. #17988800C22semidirect
130. #17988796C22semidirect
131. #17988791C22semidirect
132. #17988791C22semidirect
133. #17988791C22semidirect
134. #17988791C22semidirect
135. #17988790C22semidirect
136. #17988786C22semidirect
137. #17988786C22semidirect
138. #17988786C22semidirect
139. #17988785C22semidirect
142. #17988781C22semidirect
143. #17988780C22semidirect
144. #17988752C22semidirect
146. #17988750C22semidirect
147. #17988749C22semidirect
149. #17988745C22semidirect
150. #17988739C22semidirect
151. #17988735C22semidirect
152. #17988734C22semidirect
154. #17988730C22semidirect
155. #17988725C22semidirect
156. #17988723C22semidirect
157. #17988721C22semidirect
160. #17988714C22semidirect
161. C8×Dic146C22semidirect
162. #17988698C22semidirect
163. #17988696C22semidirect
164. #17988691C22semidirect
165. #17988686C22semidirect
166. #17988681C22semidirect
167. C4×#11924017C22semidirect
168. C4×#11924016C22semidirect
169. #17988672C22semidirect
170. #17988669C22semidirect
173. #17988665C22semidirect
174. #17988662C22semidirect
175. #17988662C22semidirect
176. #17988658C22semidirect
177. #17988658C22semidirect
178. #17988645C22semidirect
179. #17988645C22semidirect
180. #17988638C22semidirect
181. #17988613C22semidirect
182. #17988613C22semidirect
183. #17988609C22semidirect
184. #17988595C22semidirect
185. #17988587C22semidirect
186. #17988586C22semidirect
187. #17988585C22semidirect
189. #546×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #478×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
198. #447×C73C22semidirect
199. C4×D8×C73C22semidirect
200. C8×D4×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#102×C73C22semidirect
906. #3297D73semidirect
926. C73#62027semidirect
955. #546C2×D73semidirect
988. #488C2×D73semidirect
991. #484C2×D73semidirect
994. #482C2×D73semidirect
1003. #478C2×D73semidirect
1017. #465C2×D73semidirect
1033. #463C2×D73semidirect
1065. #447C2×D73semidirect
1079. C4×D8C2×D73semidirect
1085. C8×D4C2×D73semidirect
1096. #416C2×D73semidirect
1097. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245092
#226238782
#226229952
#226229432
#226226822
#226225772
#226222342
#226221972
#226221782
#226220532
#226218882
#226216432
#226215442
#226215422
#226215382
#226214532
#226214232
#226213712
#226213352
#226213312
#226210362
#226209772
#226209082
#226201702
#226201402
#226199762
#226194752
#226194462
#226193932
#226190812
C73×#32972
#6202773