Finite Group Databasebeta

← #33982807

Subgroups — #33982807

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624568C211yesmaximal, characteristic, complemented
2#22623892C211yesmaximal, characteristic, complemented
3#22622853C211yesmaximal, characteristic, complemented
4#22622831C211yesmaximal, characteristic, complemented
5#22622700C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622481C211yesmaximal, characteristic, complemented
8#22622466C211yesmaximal, characteristic, complemented
9#22622450C211yesmaximal, characteristic, complemented
10#22622435C211yesmaximal, characteristic, complemented
11#22622348C211yesmaximal, characteristic, complemented
12#22622337C211yesmaximal, characteristic, complemented
13#22622091C211yesmaximal, characteristic, complemented
14#22622077C211yesmaximal, characteristic, complemented
15#22621971C211yesmaximal, characteristic, complemented
16#22621957C211yesmaximal, characteristic, complemented
17#22621774C211yesmaximal, characteristic, complemented
18#22621759C211yesmaximal, characteristic, complemented
19#22621399C211yesmaximal, characteristic, complemented
20#22621390C211yesmaximal, characteristic, complemented
21#22621257C211yesmaximal, characteristic, complemented
22#22621236C211yesmaximal, characteristic, complemented
23#22621221C211yesmaximal, characteristic, complemented
24#22621131C211yesmaximal, characteristic, complemented
25#22620114C211yesmaximal, characteristic, complemented
26#22620112C211yesmaximal, characteristic, complemented
27#22619761C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619719C211yesmaximal, characteristic, complemented
30#22619072C211yesmaximal, characteristic, complemented
31C73×#3111C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989334—21no—
34#17989322C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic
37#17989308C2211yescharacteristic, complemented
38#17989305—21no—
39#17989301C2211yescharacteristic, complemented
40#17989300C2211yescharacteristic
41#17989300C2211yescharacteristic
42#17989296C2211yescharacteristic, complemented
43#17989287C2211yescharacteristic
44#17989284C2211yescharacteristic, complemented
45#17989278C2211yescharacteristic
46#17989271C2211yescharacteristic, complemented
47#17989270—21no—
48#17989261—21no—
49#17989261—21no—
50D4×Dic146C2211yescharacteristic
51#17989246—21no—
52#17989233—21no—
53#17989225C2211yescharacteristic
54#17989225C2211yescharacteristic
55D4×D292C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989217C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic
59#17989209C2211yescharacteristic
60#17989206C2211yescharacteristic, complemented
61#17989206C2211yescharacteristic, complemented
62#17989203—21no—
63#17989202—21no—
64#17989194—21no—
65#17989179—21no—
66#17989170—21no—
67#17989170—21no—
68#17989144C2211yescharacteristic, complemented
69#17989137C2211yescharacteristic
70#17989121—21no—
71#17989121C2211yescharacteristic
72C2×#14556579—21no—
73#17989059C2211yescharacteristic
74#17989059C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988952C2211yescharacteristic
82#17988952C2211yescharacteristic
83#17988948C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic
94#17988913C2211yescharacteristic
95#17988912C2211yescharacteristic, complemented
96#17988912C2211yescharacteristic, complemented
97#17988912C2211yescharacteristic, complemented
98#17988912C2211yescharacteristic, complemented
99#17988910C2211yescharacteristic, complemented
100#17988909C2211yescharacteristic, complemented
101#17988907C2211yescharacteristic
102#17988902C2211yescharacteristic
103#17988894C2211yescharacteristic, complemented
104#17988894C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic
107#17988887C2211yescharacteristic
108#17988887C2211yescharacteristic
109#17988886C2211yescharacteristic, complemented
110#17988885C2211yescharacteristic
111#17988884C2211yescharacteristic, complemented
112#17988884C2211yescharacteristic, complemented
113#17988882C2211yescharacteristic, complemented
114#17988882C2211yescharacteristic, complemented
115#17988880C2211yescharacteristic, complemented
116#17988878C2211yescharacteristic, complemented
117#17988878C2211yescharacteristic, complemented
118#17988877C2211yescharacteristic
119#17988877C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic
122#17988875C2211yescharacteristic, complemented
123#17988872C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988868C2211yescharacteristic, complemented
126#17988868C2211yescharacteristic, complemented
127#17988867C2211yescharacteristic
128#17988866C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic
130#17988865C2211yescharacteristic, complemented
131#17988842C2211yescharacteristic, complemented
132#17988839C2211yescharacteristic
133#17988836C2211yescharacteristic
134#17988830C2211yescharacteristic, complemented
135#17988825C2211yescharacteristic, complemented
136#17988822C2211yescharacteristic
137#17988821C2211yescharacteristic, complemented
138#17988821C2211yescharacteristic, complemented
139#17988819C2211yescharacteristic
140#17988818C2211yescharacteristic, complemented
141#17988818C2211yescharacteristic, complemented
142#17988813C2211yescharacteristic, complemented
143#17988811C2211yescharacteristic, complemented
144#17988811C2211yescharacteristic, complemented
145#17988804C2211yescharacteristic, complemented
146#17988804C2211yescharacteristic, complemented
147#17988799C2211yescharacteristic, complemented
148#17988799C2211yescharacteristic, complemented
149#17988787C2211yescharacteristic
150#17988782C2211yescharacteristic
151#17988736C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988719C2211yescharacteristic
154#17988719C2211yescharacteristic
155#17988715C2211yescharacteristic, complemented
156#17988715C2211yescharacteristic, complemented
157#17988699C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988690C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic
161SD16×Dic73C2211yescharacteristic
162#17988672C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic
164#17988667C2211yescharacteristic, complemented
165#17988660C2211yescharacteristic
166#17988660C2211yescharacteristic
167#17988655C2211yescharacteristic, complemented
168#17988655C2211yescharacteristic, complemented
169#17988650C2211yescharacteristic, complemented
170#17988650C2211yescharacteristic, complemented
171#17988647C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988628C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#17988624C2211yescharacteristic, complemented
176#17988623C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×C4⋊#10596831C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988583C2211yescharacteristic
185#17988583C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic, complemented
189C4×#41×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#452×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic
198#442×C73C2211yescharacteristic
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C22×Dic146—21no—
205C22×D292—21no—
206C2×D4×D73C2311yescharacteristic
207C2×D4×D73C2311yescharacteristic
208C2×#11924015C2311yescharacteristic
209C2×#11924015C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924011C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C22×#10596831C2311yescharacteristic
215C22×#10596831C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556590—21no—
222#14556590—21no—
223#14556590—21no—
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556588C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556585—21no—
233#14556585—21no—
234#14556585—21no—
235#14556585D411yescharacteristic
236#14556585D411yescharacteristic
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556583—21no—
244#14556583D411yescharacteristic
245#14556583C2311yescharacteristic
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556579—21no—
258#14556579—21no—
259#14556579—21no—
260#14556579—21no—
261#14556579—21no—
262#14556579—21no—
263#14556579D411yescharacteristic
264#14556578—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556577—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574D411yescharacteristic
282#14556574D411yescharacteristic
283#14556573—21no—
284#14556572—21no—
285#14556571—21no—
286#14556571—21no—
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570D411yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565—21no—
310#14556565D411yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556561—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146—21no—
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548C2311yescharacteristic
364#14556548C2311yescharacteristic
365#14556547—21no—
366C2×#11924007—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C2×#11924005—21no—
370C2×#11924005—21no—
371C2×#11924005—21no—
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C2×Q16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440#126×C73—21no—
441#125×C73C2311yescharacteristic
442#124×C73C2311yescharacteristic
443#123×C73—21no—
444C22⋊Q8×C73C2311yescharacteristic
445#121×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455#117×C73—21no—
456#117×C73—21no—
457#117×C73C2311yescharacteristic
458C2×C42×C73—21no—
459C2×C42×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—82no—
489C2×Dic146C2×D411yescharacteristic
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—82no—
495C2×D292C2×D411yescharacteristic
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⋊D73C2×D411yescharacteristic
505C2×C22⋊D73C2×D411yescharacteristic
506D4×D73—22no—
507D4×D73—22no—
508D4×D73—41no—
509D4×D73—41no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73C2411yescharacteristic
521C2×C4×D73C2411yescharacteristic
522#11924015—41no—
523#11924015—41no—
524#11924013—41no—
525#11924013—41no—
526#11924011—41no—
527#11924011—41no—
528C2×#10596831—41no—
529C2×#10596831—41no—
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C8×D73—41no—
535C8×D73—41no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73C2×D411yescharacteristic
544C4⋊Dic73C2×D411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007C2×D411yescharacteristic
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73C2×D411yescharacteristic
584C22⋊Dic73C2×D411yescharacteristic
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623#41×C73—22no—
624#41×C73—41no—
625C2×Q8×C73C2411yescharacteristic
626C2×Q8×C73C2411yescharacteristic
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73C2411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73C2×D411yescharacteristic
636C22×C4×C73C2×D411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638Q16×C73—41no—
639SD16×C73—22no—
640SD16×C73—41no—
641D8×C73—22no—
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C42×C73—21no—
665C42×C73—21no—
666C42×C73—21no—
667C42×C73—21no—
668C42×C73C2×D411yescharacteristic
669C42×C73C2×D411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—42no—
679C22×D73—81no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—21no—
688Q8×C73—21no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—21no—
692D4×C73—42no—
693D4×C73—81no—
694D4×C732−1+412yes—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—41no—
704C2×C4×C73—41no—
705C2×C4×C73—42no—
706C2×C4×C73—42no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C2511yescharacteristic
715C22⋊D73—41no—
716C22⋊D73—41no—
717C22⋊D73—42no—
718C22⋊D73—42no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739D292—21no—
740D292—21no—
741D292—21no—
742D292—21no—
743D292—41no—
744D292—42no—
745D292—81no—
746D292—81no—
747D292—81no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758Dic146—41no—
759Dic146—42no—
760Dic146—81no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—22no—
777C22×C73—21no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—41no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111D7311yescharacteristic, complemented
861#3081—731no—
862#3081—731no—
863#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—731no—
896#542—1461no—
897#542—1461no—
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—1461no—
906#529C2×D7311yescharacteristic, complemented
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41C2×D7311yescharacteristic
911#501—731no—
912#501—731no—
913#501—731no—
914#501—731no—
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485C2×D7311yescharacteristic, complemented
928#484—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482C2×D7311yescharacteristic, complemented
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479C2×D7311yescharacteristic, complemented
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478C2×D7311yescharacteristic
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#468—731no—
974#468—731no—
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464C2×D7311yescharacteristic, complemented
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463C2×D7311yescharacteristic
991#460—731no—
992#459—731no—
993#452C2×D7311yescharacteristic
994#450—731no—
995#450—731no—
996#449C2×D7311yescharacteristic
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442C2×D7311yescharacteristic
1004#441C2×D7311yescharacteristic, complemented
1005#440—731no—
1006#440—731no—
1007#440C2×D7311yescharacteristic
1008#440C2×D7311yescharacteristic, complemented
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435—731no—
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#432C2×D7311yescharacteristic, complemented
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427—731no—
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16C22×D7311yescharacteristic
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—731no—
1064C4⋊Q8—1461no—
1065C4⋊Q8—1461no—
1066C4⋊Q8—1461no—
1067#127—731no—
1068#126—21no—
1069#126—731no—
1070#126—731no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#124—731no—
1096#124—731no—
1097#124—731no—
1098#124—1461no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124C22×D7311yescharacteristic
1113#123—21no—
1114#123—731no—
1115#123—731no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—1461no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8C22×D7311yescharacteristic
1180C4×Q8C22×D7311yescharacteristic
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—21no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—21no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—731no—
1215#117—731no—
1216#117—731no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—21no—
1233C2×C42C22×D7311yescharacteristic
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308#97C22×D7311yescharacteristic
1309#97C22×D7311yescharacteristic
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—1461no—
1313C24—1461no—
1314#41—22no—
1315#41—41no—
1316#41—5842no—
1317C2×Q8—5842no—
1318C2×Q8—731no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8C23×D7311yescharacteristic
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—2921no—
1331C2×D4—2921no—
1332C2×D4—5842no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1462no—
1343C2×D4—1462no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4D4×D7311yescharacteristic
1369C22×C4D4×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—22no—
1377D8—2921no—
1378D8—2921no—
1379M16—2921no—
1380M16—2921no—
1381C2×C8—2921no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42D4×D7311yescharacteristic
1503C42D4×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—2922no—
1509C23—2922no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—731no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—2922no—
1524Q8—2921no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—5841no—
1530Q8—5841no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—2922no—
1537D4—2921no—
1538D4—2922no—
1539D4—2922no—
1540D4—2921no—
1541D4—2921no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4#1455663812yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—42no—
1565C2×C4—42no—
1566C2×C4—81no—
1567C2×C4—81no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—11682no—
1624C22—11682no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663811yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—2921no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360311yescharacteristic
1665C2#2262470411yescharacteristic
1666C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3111C2
socleC22×C73C23×D4
hypercenter#3111D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3111

Complements

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

NH ≅ G/Ntype
1. #22624568C2semidirect
2. #22623892C2semidirect
3. #22622853C2semidirect
4. #22622831C2semidirect
5. #22622700C2semidirect
6. #22622685C2semidirect
7. #22622481C2semidirect
8. #22622466C2semidirect
9. #22622450C2semidirect
10. #22622435C2semidirect
11. #22622348C2semidirect
12. #22622337C2semidirect
13. #22622091C2semidirect
14. #22622077C2semidirect
15. #22621971C2semidirect
16. #22621957C2semidirect
17. #22621774C2semidirect
18. #22621759C2semidirect
19. #22621399C2semidirect
20. #22621390C2semidirect
21. #22621257C2semidirect
22. #22621236C2semidirect
23. #22621221C2semidirect
24. #22621131C2semidirect
25. #22620114C2semidirect
26. #22620112C2semidirect
27. #22619761C2semidirect
28. #22619759C2semidirect
29. #22619719C2semidirect
30. #22619072C2semidirect
31. C73×#3111C2semidirect
35. #17989313C22semidirect
37. #17989308C22semidirect
39. #17989301C22semidirect
42. #17989296C22semidirect
44. #17989284C22semidirect
46. #17989271C22semidirect
56. #17989217C22semidirect
57. #17989217C22semidirect
60. #17989206C22semidirect
61. #17989206C22semidirect
68. #17989144C22semidirect
75. #17988996C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988994C22semidirect
79. #17988991C22semidirect
80. #17988984C22semidirect
83. #17988948C22semidirect
84. #17988948C22semidirect
85. #17988943C22semidirect
86. #17988943C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988926C22semidirect
90. #17988926C22semidirect
91. #17988921C22semidirect
92. #17988916C22semidirect
95. #17988912C22semidirect
96. #17988912C22semidirect
97. #17988912C22semidirect
98. #17988912C22semidirect
99. #17988910C22semidirect
100. #17988909C22semidirect
103. #17988894C22semidirect
104. #17988894C22semidirect
105. #17988890C22semidirect
109. #17988886C22semidirect
111. #17988884C22semidirect
112. #17988884C22semidirect
113. #17988882C22semidirect
114. #17988882C22semidirect
115. #17988880C22semidirect
116. #17988878C22semidirect
117. #17988878C22semidirect
119. #17988877C22semidirect
120. #17988876C22semidirect
122. #17988875C22semidirect
123. #17988872C22semidirect
124. #17988870C22semidirect
125. #17988868C22semidirect
126. #17988868C22semidirect
128. #17988866C22semidirect
130. #17988865C22semidirect
131. #17988842C22semidirect
134. #17988830C22semidirect
135. #17988825C22semidirect
137. #17988821C22semidirect
138. #17988821C22semidirect
140. #17988818C22semidirect
141. #17988818C22semidirect
142. #17988813C22semidirect
143. #17988811C22semidirect
144. #17988811C22semidirect
145. #17988804C22semidirect
146. #17988804C22semidirect
147. #17988799C22semidirect
148. #17988799C22semidirect
155. #17988715C22semidirect
156. #17988715C22semidirect
158. #17988696C22semidirect
159. #17988690C22semidirect
162. #17988672C22semidirect
164. #17988667C22semidirect
167. #17988655C22semidirect
168. #17988655C22semidirect
169. #17988650C22semidirect
170. #17988650C22semidirect
171. #17988647C22semidirect
172. #17988647C22semidirect
173. #17988628C22semidirect
174. #17988626C22semidirect
175. #17988624C22semidirect
176. #17988623C22semidirect
177. #17988623C22semidirect
178. #17988622C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C2×C4⋊#10596831C22semidirect
188. #529×C73C22semidirect
190. #485×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
194. #464×C73C22semidirect
199. #441×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
860. #3111D73semidirect
865. C73#62159semidirect
906. #529C2×D73semidirect
927. #485C2×D73semidirect
938. #482C2×D73semidirect
943. #479C2×D73semidirect
985. #464C2×D73semidirect
1004. #441C2×D73semidirect
1008. #440C2×D73semidirect
1021. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245682
#226238922
#226228532
#226228312
#226227002
#226226852
#226224812
#226224662
#226224502
#226224352
#226223482
#226223372
#226220912
#226220772
#226219712
#226219572
#226217742
#226217592
#226213992
#226213902
#226212572
#226212362
#226212212
#226211312
#226201142
#226201122
#226197612
#226197592
#226197192
#226190722
C73×#31112
#6215973