Finite Group Databasebeta

← #33983207

Subgroups — #33983207

Order 18688.

1716 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#22623871C211yesmaximal, characteristic, complemented
3#22622887C211yesmaximal, characteristic, complemented
4#22622807C211yesmaximal, characteristic, complemented
5#22622695C211yesmaximal, characteristic, complemented
6#22622592C211yesmaximal, characteristic, complemented
7#22622519C211yesmaximal, characteristic, complemented
8#22622496C211yesmaximal, characteristic, complemented
9#22622495C211yesmaximal, characteristic, complemented
10#22622454C211yesmaximal, characteristic, complemented
11#22622374C211yesmaximal, characteristic, complemented
12#22622335C211yesmaximal, characteristic, complemented
13#22622155C211yesmaximal, characteristic, complemented
14#22622151C211yesmaximal, characteristic, complemented
15#22622137C211yesmaximal, characteristic, complemented
16#22622080C211yesmaximal, characteristic, complemented
17#22622065C211yesmaximal, characteristic, complemented
18#22621771C211yesmaximal, characteristic, complemented
19#22621389C211yesmaximal, characteristic, complemented
20#22621339C211yesmaximal, characteristic, complemented
21#22621327C211yesmaximal, characteristic, complemented
22#22621228C211yesmaximal, characteristic, complemented
23#22621189C211yesmaximal, characteristic, complemented
24#22621112C211yesmaximal, characteristic, complemented
25#22620205C211yesmaximal, characteristic, complemented
26#22620114C211yesmaximal, characteristic, complemented
27#22619783C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619728C211yesmaximal, characteristic, complemented
30#22619082C211yesmaximal, characteristic, complemented
31C73×#3105C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989334—21no—
34#17989320C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989305—21no—
38#17989301C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic
40#17989296C2211yescharacteristic, complemented
41#17989287C2211yescharacteristic
42#17989287C2211yescharacteristic, complemented
43#17989286—21no—
44#17989284C2211yescharacteristic
45#17989278C2211yescharacteristic, complemented
46#17989272C2211yescharacteristic
47#17989271C2211yescharacteristic, complemented
48#17989270—21no—
49#17989266—21no—
50#17989263—21no—
51#17989238C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989227—21no—
55D4×C22⋊D73C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989217C2211yescharacteristic, complemented
58#17989206C2211yescharacteristic, complemented
59#17989206C2211yescharacteristic, complemented
60#17989203—21no—
61#17989202—21no—
62#17989202C2211yescharacteristic
63#17989194—21no—
64#17989188C2211yescharacteristic
65#17989179—21no—
66#17989179—21no—
67#17989170—21no—
68#17989144C2211yescharacteristic, complemented
69#17989121C2211yescharacteristic
70#17989121C2211yescharacteristic
71#17989098—21no—
72C2×#14556574—21no—
73#17989066C2211yescharacteristic
74#17989059C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988989C2211yescharacteristic, complemented
78#17988989C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988945C2211yescharacteristic, complemented
83#17988942C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988930C2211yescharacteristic, complemented
88#17988929C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988919C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic
95#17988912C2211yescharacteristic
96#17988910C2211yescharacteristic
97#17988910C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic
100#17988904C2211yescharacteristic, complemented
101#17988904C2211yescharacteristic, complemented
102#17988902C2211yescharacteristic, complemented
103#17988897C2211yescharacteristic, complemented
104#17988896C2211yescharacteristic, complemented
105#17988894C2211yescharacteristic, complemented
106#17988891C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988887C2211yescharacteristic
109#17988887C2211yescharacteristic
110#17988887C2211yescharacteristic, complemented
111#17988887C2211yescharacteristic, complemented
112#17988887C2211yescharacteristic, complemented
113#17988885C2211yescharacteristic
114#17988885C2211yescharacteristic
115#17988885C2211yescharacteristic, complemented
116#17988884C2211yescharacteristic, complemented
117#17988883C2211yescharacteristic, complemented
118#17988881C2211yescharacteristic, complemented
119#17988880C2211yescharacteristic, complemented
120#17988878C2211yescharacteristic, complemented
121#17988877C2211yescharacteristic
122#17988877C2211yescharacteristic, complemented
123#17988876C2211yescharacteristic, complemented
124#17988873C2211yescharacteristic, complemented
125#17988868C2211yescharacteristic, complemented
126#17988867C2211yescharacteristic
127#17988867C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic
129#17988865C2211yescharacteristic
130#17988865C2211yescharacteristic, complemented
131#17988843C2211yescharacteristic, complemented
132#17988839C2211yescharacteristic, complemented
133#17988838C2211yescharacteristic
134#17988835C2211yescharacteristic
135#17988832C2211yescharacteristic, complemented
136#17988831C2211yescharacteristic, complemented
137#17988830C2211yescharacteristic
138#17988830C2211yescharacteristic, complemented
139#17988827C2211yescharacteristic, complemented
140#17988820C2211yescharacteristic
141#17988820C2211yescharacteristic, complemented
142#17988819C2211yescharacteristic, complemented
143#17988809C2211yescharacteristic, complemented
144#17988807C2211yescharacteristic, complemented
145#17988806C2211yescharacteristic, complemented
146#17988802C2211yescharacteristic, complemented
147#17988800C2211yescharacteristic, complemented
148#17988799C2211yescharacteristic, complemented
149#17988785C2211yescharacteristic
150#17988780C2211yescharacteristic
151#17988746C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988729C2211yescharacteristic
154#17988719C2211yescharacteristic
155#17988717C2211yescharacteristic, complemented
156C8×Dic146C2211yescharacteristic, complemented
157#17988699C2211yescharacteristic
158#17988699C2211yescharacteristic
159#17988691C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic, complemented
162SD16×Dic73C2211yescharacteristic
163SD16×Dic73C2211yescharacteristic
164#17988667C2211yescharacteristic, complemented
165#17988666C2211yescharacteristic, complemented
166#17988662C2211yescharacteristic
167#17988662C2211yescharacteristic, complemented
168#17988661C2211yescharacteristic
169#17988661C2211yescharacteristic, complemented
170C8×D292C2211yescharacteristic, complemented
171#17988647C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988627C2211yescharacteristic, complemented
174#17988627C2211yescharacteristic, complemented
175#17988626C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177#17988624C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988611C2211yescharacteristic, complemented
182#17988592C2211yescharacteristic
183#17988592C2211yescharacteristic
184#17988590C2211yescharacteristic
185#17988585C2211yescharacteristic
186#17988580C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#529×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#447×C73C2211yescharacteristic
198C4×SD16×C73C2211yescharacteristic
199C4×SD16×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic, complemented
202#431×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C22×C22⋊D73—21no—
206C2×D4×D73C2311yescharacteristic
207C2×#11924018C2311yescharacteristic
208C2×#11924016C2311yescharacteristic
209C2×#11924015C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211C2×#11924012C2311yescharacteristic
212C2×#11924012C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×C8×D73C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217#14556591C2311yescharacteristic
218#14556591C2311yescharacteristic
219#14556590—21no—
220#14556590—21no—
221#14556590—21no—
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556587C2311yescharacteristic
226#14556586—21no—
227#14556586—21no—
228#14556585—21no—
229#14556585—21no—
230#14556585D411yescharacteristic
231#14556585D411yescharacteristic
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556583—21no—
241#14556583D411yescharacteristic
242#14556583C2311yescharacteristic
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556582—21no—
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556579D411yescharacteristic
255#14556579C2311yescharacteristic
256#14556578—21no—
257#14556578C2311yescharacteristic
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556576—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556574—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574D411yescharacteristic
278#14556574D411yescharacteristic
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571C2311yescharacteristic
287#14556570—21no—
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570D411yescharacteristic
293#14556570C2311yescharacteristic
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565—21no—
308#14556565D411yescharacteristic
309#14556565C2311yescharacteristic
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556561—21no—
322#14556560—21no—
323#14556560—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332#14556556—21no—
333#14556556C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556550—21no—
353#14556550C2311yescharacteristic
354#14556550C2311yescharacteristic
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556548—21no—
360#14556548—21no—
361#14556548C2311yescharacteristic
362#14556548C2311yescharacteristic
363#14556547—21no—
364#14556547—21no—
365C2×#11924007—21no—
366C2×#11924007—21no—
367C2×#11924007—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×C22⋊Dic73—21no—
372C2×#11924005—21no—
373C2×#11924005—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#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73C2311yescharacteristic
436C23×C4×C73—21no—
437C2×SD16×C73C2311yescharacteristic
438C2×SD16×C73C2311yescharacteristic
439C2×D8×C73C2311yescharacteristic
440C2×D8×C73C2311yescharacteristic
441#126×C73—21no—
442#125×C73C2311yescharacteristic
443#124×C73C2311yescharacteristic
444#123×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446#121×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73—21no—
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C22⋊C4×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#102×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—82no—
480#11924027—22no—
481#11924027—41no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146C2×D411yescharacteristic
488C2×Dic146C2411yescharacteristic
489C2×D292—21no—
490C2×D292C2×D411yescharacteristic
491C2×D292C2411yescharacteristic
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—82no—
502C2×C22⋊D73C2×D411yescharacteristic
503C2×C22⋊D73C2×D411yescharacteristic
504D4×D73—22no—
505D4×D73—41no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73C2411yescharacteristic
517C2×C4×D73C2411yescharacteristic
518#11924018—41no—
519#11924016—41no—
520#11924015—41no—
521#11924013—41no—
522#11924012—41no—
523#11924012—41no—
524#11924011—41no—
525#11924011—41no—
526C2×#10596831C2411yescharacteristic
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C8×D73—41no—
531C8×D73—41no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73C2×D411yescharacteristic
541C4⋊Dic73C2×D411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
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#11924007—21no—
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73C2×D411yescharacteristic
590C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73C2411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C24×C73—21no—
623C2×Q8×C73C2411yescharacteristic
624C2×D4×C73—22no—
625C2×D4×C73—21no—
626C2×D4×C73—21no—
627C2×D4×C73—41no—
628C2×D4×C73C2411yescharacteristic
629C2×D4×C73C2411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—82no—
638C22×C4×C73C2×D411yescharacteristic
639C22×C4×C73C2×D411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641SD16×C73—22no—
642SD16×C73—41no—
643D8×C73—22no—
644D8×C73—41no—
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C42×C73—21no—
668C42×C73C2×D411yescharacteristic
669C42×C73C2×D411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—42no—
676C23×C73—42no—
677C23×C73—81no—
678C23×C73C22×D411yescharacteristic
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687D4×C73—21no—
688D4×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—41no—
703C2×C4×C73—41no—
704C2×C4×C73—42no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C2511yescharacteristic
716C22⋊D73—41no—
717C22⋊D73—41no—
718C22⋊D73—42no—
719C22⋊D73—42no—
720C22⋊D73—42no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C22⋊D73—81no—
725C22⋊D73—81no—
726C22⋊D73—81no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—42no—
735C2×Dic73—81no—
736C2×Dic73—81no—
737C2×Dic73—81no—
738C2×Dic73—81no—
739C2×Dic73C22×D411yescharacteristic
740C2×Dic73C22×D411yescharacteristic
741C2×Dic73C22×D411yescharacteristic
742C2×Dic73C22×D411yescharacteristic
743C2×Dic73C22×D411yescharacteristic
744C2×Dic73C22×D411yescharacteristic
745D292—21no—
746D292—21no—
747D292—41no—
748D292—81no—
749C4×D73—21no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758Dic146—21no—
759Dic146—21no—
760Dic146—41no—
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×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—84no—
787C22×C73C23×D411yescharacteristic
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
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×C73C2×2−1+411yescharacteristic
809C4×C73#58511yescharacteristic
810Dic73—21no—
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—41no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73—81no—
828C2×C73#348911yescharacteristic
829C2×C73#358411yescharacteristic
830C2×C73#358511yescharacteristic
831D73—41no—
832D73—41no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105D7311yescharacteristic, complemented
861#3083—731no—
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—731no—
878#553—1461no—
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
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—1461no—
896#542—1461no—
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529C2×D7311yescharacteristic, complemented
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518—731no—
910C2×C4×D4C2×D7311yescharacteristic
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484C2×D7311yescharacteristic, complemented
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#481—731no—
937#481—731no—
938#481—731no—
939#481C2×D7311yescharacteristic, complemented
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478C2×D7311yescharacteristic
956#478C2×D7311yescharacteristic, complemented
957#477—731no—
958#477—731no—
959#477—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—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#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#467—731no—
980#466—731no—
981#466—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463C2×D7311yescharacteristic
990#463C2×D7311yescharacteristic, complemented
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450C2×D7311yescharacteristic
996#449—731no—
997#447—731no—
998#447C2×D7311yescharacteristic
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16C2×D7311yescharacteristic
1009C4×SD16C2×D7311yescharacteristic, complemented
1010C4×D8—731no—
1011C4×D8C2×D7311yescharacteristic
1012C4×D8C2×D7311yescharacteristic, complemented
1013#436—731no—
1014#436—731no—
1015#436—731no—
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431C2×D7311yescharacteristic, complemented
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418—731no—
1034#417—731no—
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×D4—731no—
1040C22×D4—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C23×C4—21no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8C22×D7311yescharacteristic
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16—731no—
1054C2×M16—731no—
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065#127—731no—
1066#126—21no—
1067#126—731no—
1068#126—731no—
1069#126—1461no—
1070#126—1461no—
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#125—731no—
1082#125—731no—
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#125—1461no—
1095#125C22×D7311yescharacteristic
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124C22×D7311yescharacteristic
1107#123—21no—
1108#123—731no—
1109#123—731no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
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—731no—
1175C4×Q8—731no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—731no—
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—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4C22×D7311yescharacteristic
1203C4×D4C22×D7311yescharacteristic
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—731no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
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#103—731no—
1275#103—731no—
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#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
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—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8C22×D7311yescharacteristic
1311C4×C8C22×D7311yescharacteristic
1312C24—21no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—731no—
1318C2×Q8—731no—
1319C2×Q8—1461no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—2921no—
1330C2×D4—5842no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1462no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4C23×D7311yescharacteristic
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—82no—
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—2921no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—2921no—
1376D8—22no—
1377D8—41no—
1378D8—2921no—
1379M16—2921no—
1380M16—2921no—
1381M16—2921no—
1382M16—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—731no—
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—1461no—
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⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—731no—
1463C22⋊C4—731no—
1464C22⋊C4—731no—
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—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C42—21no—
1491C42—731no—
1492C42—731no—
1493C42—1461no—
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—21no—
1509C23—42no—
1510C23—42no—
1511C23—81no—
1512C23—2922no—
1513C23—5841no—
1514C23—5841no—
1515C23—731no—
1516C23—731no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—2921no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—2921no—
1537D4—2922no—
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#1455663812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—2922no—
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—731no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—1461no—
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—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
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—2921no—
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—81no—
1661C2—2921no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360311yescharacteristic
1665C2#2262470011yescharacteristic
1666C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3105C2
socleC22×C73C23×D4
hypercenter#3105D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #22624568C2semidirect
2. #22623871C2semidirect
3. #22622887C2semidirect
4. #22622807C2semidirect
5. #22622695C2semidirect
6. #22622592C2semidirect
7. #22622519C2semidirect
8. #22622496C2semidirect
9. #22622495C2semidirect
10. #22622454C2semidirect
11. #22622374C2semidirect
12. #22622335C2semidirect
13. #22622155C2semidirect
14. #22622151C2semidirect
15. #22622137C2semidirect
16. #22622080C2semidirect
17. #22622065C2semidirect
18. #22621771C2semidirect
19. #22621389C2semidirect
20. #22621339C2semidirect
21. #22621327C2semidirect
22. #22621228C2semidirect
23. #22621189C2semidirect
24. #22621112C2semidirect
25. #22620205C2semidirect
26. #22620114C2semidirect
27. #22619783C2semidirect
28. #22619759C2semidirect
29. #22619728C2semidirect
30. #22619082C2semidirect
31. C73×#3105C2semidirect
35. #17989313C22semidirect
38. #17989301C22semidirect
40. #17989296C22semidirect
42. #17989287C22semidirect
45. #17989278C22semidirect
47. #17989271C22semidirect
56. #17989217C22semidirect
57. #17989217C22semidirect
58. #17989206C22semidirect
59. #17989206C22semidirect
68. #17989144C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988989C22semidirect
78. #17988989C22semidirect
79. #17988987C22semidirect
80. #17988984C22semidirect
82. #17988945C22semidirect
83. #17988942C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
87. #17988930C22semidirect
88. #17988929C22semidirect
89. #17988929C22semidirect
90. #17988926C22semidirect
91. #17988919C22semidirect
92. #17988916C22semidirect
93. #17988913C22semidirect
97. #17988910C22semidirect
98. #17988910C22semidirect
100. #17988904C22semidirect
101. #17988904C22semidirect
102. #17988902C22semidirect
103. #17988897C22semidirect
104. #17988896C22semidirect
105. #17988894C22semidirect
106. #17988891C22semidirect
107. #17988890C22semidirect
110. #17988887C22semidirect
111. #17988887C22semidirect
112. #17988887C22semidirect
115. #17988885C22semidirect
116. #17988884C22semidirect
117. #17988883C22semidirect
118. #17988881C22semidirect
119. #17988880C22semidirect
120. #17988878C22semidirect
122. #17988877C22semidirect
123. #17988876C22semidirect
124. #17988873C22semidirect
125. #17988868C22semidirect
127. #17988867C22semidirect
130. #17988865C22semidirect
131. #17988843C22semidirect
132. #17988839C22semidirect
135. #17988832C22semidirect
136. #17988831C22semidirect
138. #17988830C22semidirect
139. #17988827C22semidirect
141. #17988820C22semidirect
142. #17988819C22semidirect
143. #17988809C22semidirect
144. #17988807C22semidirect
145. #17988806C22semidirect
146. #17988802C22semidirect
147. #17988800C22semidirect
148. #17988799C22semidirect
155. #17988717C22semidirect
156. C8×Dic146C22semidirect
159. #17988691C22semidirect
160. #17988690C22semidirect
161. #17988678C22semidirect
164. #17988667C22semidirect
165. #17988666C22semidirect
167. #17988662C22semidirect
169. #17988661C22semidirect
170. C8×D292C22semidirect
171. #17988647C22semidirect
172. #17988647C22semidirect
173. #17988627C22semidirect
174. #17988627C22semidirect
175. #17988626C22semidirect
176. #17988626C22semidirect
177. #17988624C22semidirect
178. #107×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. #17988611C22semidirect
188. #529×C73C22semidirect
190. #484×C73C22semidirect
191. #481×C73C22semidirect
193. #478×C73C22semidirect
195. #463×C73C22semidirect
199. C4×SD16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #431×C73C22semidirect
860. #3105D73semidirect
865. C73#62175semidirect
905. #529C2×D73semidirect
927. #484C2×D73semidirect
939. #481C2×D73semidirect
956. #478C2×D73semidirect
990. #463C2×D73semidirect
1009. C4×SD16C2×D73semidirect
1012. C4×D8C2×D73semidirect
1021. #431C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245682
#226238712
#226228872
#226228072
#226226952
#226225922
#226225192
#226224962
#226224952
#226224542
#226223742
#226223352
#226221552
#226221512
#226221372
#226220802
#226220652
#226217712
#226213892
#226213392
#226213272
#226212282
#226211892
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