Finite Group Databasebeta

← #33968040

Subgroups — #33968040

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623541C211yesmaximal, characteristic, complemented
2#22623529C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22622881C211yesmaximal, characteristic, complemented
5#22622700C211yesmaximal, characteristic, complemented
6#22622689C211yesmaximal, characteristic, complemented
7#22622472C211yesmaximal, characteristic, complemented
8#22622421C211yesmaximal, characteristic, complemented
9#22622333C211yesmaximal, characteristic, complemented
10#22622077C211yesmaximal, characteristic, complemented
11#22622047C211yesmaximal, characteristic, complemented
12#22621963C211yesmaximal, characteristic, complemented
13#22621933C211yesmaximal, characteristic, complemented
14#22621834C211yesmaximal, characteristic, complemented
15#22621782C211yesmaximal, characteristic, complemented
16#22621632C211yesmaximal, characteristic, complemented
17#22621471C211yesmaximal, characteristic, complemented
18#22621428C211yesmaximal, characteristic, complemented
19#22620656C211yesmaximal, characteristic, complemented
20#22620629C211yesmaximal, characteristic, complemented
21#22620625C211yesmaximal, characteristic, complemented
22#22620106C211yesmaximal, characteristic, complemented
23#22620082C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620046C211yesmaximal, characteristic, complemented
26#22620040C211yesmaximal, characteristic, complemented
27#22620020C211yesmaximal, characteristic, complemented
28#22618942C211yesmaximal, characteristic, complemented
29#22618736C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#2943C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×SD16×D73C2211yescharacteristic
34#17989322C2211yescharacteristic
35#17989320—21no—
36#17989320C2211yescharacteristic, complemented
37#17989313C2211yescharacteristic, complemented
38#17989305—21no—
39#17989305C2211yescharacteristic, complemented
40#17989297C2211yescharacteristic
41#17989294C2211yescharacteristic
42#17989287—21no—
43#17989287C2211yescharacteristic
44#17989283—21no—
45#17989281—21no—
46#17989281C2211yescharacteristic
47#17989281C2211yescharacteristic
48#17989281C2211yescharacteristic, complemented
49#17989261—21no—
50#17989261—21no—
51#17989256C2211yescharacteristic, complemented
52#17989249C2211yescharacteristic
53#17989244C2211yescharacteristic, complemented
54#17989233—21no—
55#17989225C2211yescharacteristic
56#17989225C2211yescharacteristic
57D4×D292C2211yescharacteristic
58#17989137C2211yescharacteristic
59#17989134—21no—
60#17989134C2211yescharacteristic, complemented
61#17989124C2211yescharacteristic
62#17989124C2211yescharacteristic
63#17989121—21no—
64#17989121—21no—
65#17989121C2211yescharacteristic, complemented
66#17989119—21no—
67#17989119C2211yescharacteristic, complemented
68#17989096—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic, complemented
71C4×#11924028—21no—
72C4×#11924028C2211yescharacteristic
73C4×Q8×D73C2211yescharacteristic, complemented
74C2×C4×D292—21no—
75C4×D4×D73C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic
77#17988996C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic
81#17988973C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988952C2211yescharacteristic
84#17988950C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic
94#17988911C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic
98#17988907C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988896C2211yescharacteristic, complemented
103#17988894C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic
106#17988886C2211yescharacteristic, complemented
107#17988886C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic
109#17988876C2211yescharacteristic, complemented
110#17988875C2211yescharacteristic
111#17988872C2211yescharacteristic, complemented
112#17988867C2211yescharacteristic, complemented
113#17988844C2211yescharacteristic, complemented
114#17988839C2211yescharacteristic
115#17988834C2211yescharacteristic
116#17988830C2211yescharacteristic, complemented
117#17988824C2211yescharacteristic
118#17988823C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic
121#17988819C2211yescharacteristic, complemented
122#17988816C2211yescharacteristic, complemented
123#17988816C2211yescharacteristic, complemented
124#17988813C2211yescharacteristic, complemented
125#17988812C2211yescharacteristic, complemented
126#17988811C2211yescharacteristic, complemented
127#17988811C2211yescharacteristic, complemented
128#17988809C2211yescharacteristic, complemented
129#17988805C2211yescharacteristic, complemented
130#17988802C2211yescharacteristic
131#17988801C2211yescharacteristic, complemented
132#17988800C2211yescharacteristic
133#17988787C2211yescharacteristic
134#17988782C2211yescharacteristic
135#17988781C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic
137#17988749C2211yescharacteristic
138#17988748C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988739C2211yescharacteristic
141#17988735C2211yescharacteristic
142#17988732C2211yescharacteristic
143#17988732C2211yescharacteristic, complemented
144#17988732C2211yescharacteristic, complemented
145#17988727C2211yescharacteristic
146#17988722C2211yescharacteristic
147#17988719C2211yescharacteristic
148#17988719C2211yescharacteristic
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988700C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic
154#17988697C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic, complemented
156#17988692C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic
161#17988687C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988672C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988660C2211yescharacteristic
172#17988660C2211yescharacteristic
173#17988658C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic, complemented
181#107×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184#103×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic
190C4×#41×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic
193#441×C73C2211yescharacteristic, complemented
194#441×C73C2211yescharacteristic, complemented
195#440×C73C2211yescharacteristic
196#440×C73C2211yescharacteristic
197#440×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic
201#416×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028D411yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292—21no—
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556618—24no—
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221SD16×D73—24no—
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556588C2311yescharacteristic
235#14556587—21no—
236#14556587C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556585—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556583—21no—
248#14556583—21no—
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556582C2311yescharacteristic
254#14556580C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556579—21no—
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556578—21no—
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556574—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556571—21no—
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556568—21no—
287#14556568—21no—
288#14556567C2311yescharacteristic
289#14556567C2311yescharacteristic
290#14556566—21no—
291#14556566C2311yescharacteristic
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565—21no—
296#14556565—21no—
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556565C2311yescharacteristic
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556563—21no—
306#14556563—21no—
307#14556562—21no—
308#14556562—21no—
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556561—21no—
312#14556561—21no—
313#14556559—21no—
314#14556559—21no—
315Q8×Dic73C2311yescharacteristic
316Q8×Dic73C2311yescharacteristic
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146—21no—
320C4×Dic146D411yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324#14556556C2311yescharacteristic
325C4×D292—21no—
326C4×D292—21no—
327C4×D292—21no—
328C4×D292—21no—
329C4×D292—21no—
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292D411yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73D411yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359#14556551—21no—
360#14556551—21no—
361#14556550—21no—
362#14556550D411yescharacteristic
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548D411yescharacteristic
369#14556548D411yescharacteristic
370C2×C4⋊Dic73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C42×D73—21no—
380C42×D73—21no—
381C42×D73C2311yescharacteristic
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439#135×C73—24no—
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462C2×C42×C73—21no—
463C2×C42×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—42no—
486#11924028—44no—
487#11924028—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493Q8×D73—22no—
494Q8×D73—41no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—44no—
502C2×D292C2×D411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73C2×D411yescharacteristic
516C2×C22⋊D73C2×D411yescharacteristic
517D4×D73—22no—
518D4×D73—22no—
519D4×D73—41no—
520D4×D73—41no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—82no—
535C2×C4×D73—82no—
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542#11924018—41no—
543#11924017—22no—
544#11924017—41no—
545#11924016—22no—
546#11924015—22no—
547#11924015—22no—
548#11924015—41no—
549D584—22no—
550D584—41no—
551#11924013—22no—
552#11924013—41no—
553#11924013—41no—
554#11924011—22no—
555#11924011—41no—
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C8×D73—22no—
561C8×D73—41no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639#41×C73—22no—
640#41×C73—22no—
641#41×C73—41no—
642#41×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2×D411yescharacteristic
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658Q16×C73—22no—
659SD16×C73—22no—
660SD16×C73#4114yescomplemented
661D8×C73—22no—
662C2×C8×C73—22no—
663C2×C8×C73—41no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73C22×D411yescharacteristic
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73C2×#4112yes—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—42no—
714D4×C73—42no—
715D4×C73C2×#4112yes—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—41no—
725C2×C4×C73—41no—
726C2×C4×C73—42no—
727C2×C4×C73—42no—
728C2×C4×C73—42no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—81no—
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C22×D411yescharacteristic
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C2511yescharacteristic
738C22⋊D73—22no—
739C22⋊D73—41no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—42no—
743C22⋊D73—42no—
744C22⋊D73—81no—
745C22⋊D73—81no—
746C22⋊D73—81no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C2×Dic73—21no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—81no—
755C2×Dic73—81no—
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762D292—22no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—21no—
767D292—21no—
768D292—21no—
769D292—42no—
770D292—42no—
771D292—42no—
772D292—42no—
773D292—42no—
774D292—81no—
775C4×D73—22no—
776C4×D73—21no—
777C4×D73—21no—
778C4×D73—21no—
779C4×D73—21no—
780C4×D73—41no—
781C4×D73—41no—
782C4×D73—41no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794Dic146—21no—
795Dic146—21no—
796Dic146—41no—
797Dic146—42no—
798Dic146—42no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—22no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73#57512yes—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—22no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—42no—
861C2×C73—41no—
862C2×C73—81no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—22no—
867D73—41no—
868D73—81no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943D7311yescharacteristic, complemented
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135C2×D7311yescharacteristic
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—1461no—
945C4×#41C2×D7311yescharacteristic
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442C2×D7311yescharacteristic
1031#442C2×D7311yescharacteristic
1032#441—731no—
1033#441C2×D7311yescharacteristic, complemented
1034#441C2×D7311yescharacteristic, complemented
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440C2×D7311yescharacteristic
1046#440C2×D7311yescharacteristic
1047#440C2×D7311yescharacteristic, complemented
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427C2×D7311yescharacteristic, complemented
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416C2×D7311yescharacteristic
1068#416C2×D7311yescharacteristic, complemented
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97C2×D7311yescharacteristic, complemented
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—1461no—
1077C2×#41—1461no—
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—24no—
1088C2×Q16—731no—
1089C2×Q16C22×D7311yescharacteristic
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8C22×D7311yescharacteristic
1105C2×M16—731no—
1106C2×M16—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8C22×D7311yescharacteristic
1110C22×C8C22×D7311yescharacteristic
1111C4⋊Q8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—1461no—
1114#127—731no—
1115#127—731no—
1116#127—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124—1461no—
1144#124—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170#121—731no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#121—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8C22×D7311yescharacteristic
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4C22×D7311yescharacteristic
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117C22×D7311yescharacteristic
1265#117C22×D7311yescharacteristic
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—21no—
1276C2×C42—21no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42C22×D7311yescharacteristic
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103C22×D7311yescharacteristic
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97C22×D7311yescharacteristic
1347#97C22×D7311yescharacteristic
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—1461no—
1353C24—1461no—
1354#41—22no—
1355#41—22no—
1356#41—41no—
1357#41—41no—
1358#41—2924no—
1359#41—2922no—
1360#41—2921no—
1361#41—5842no—
1362#41—1462no—
1363C2×Q8—2921no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8—1462no—
1369C2×Q8—1461no—
1370C2×Q8C23×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2924no—
1375C2×D4—2921no—
1376C2×D4—2921no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1462no—
1393C2×D4—1462no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—5842no—
1409C22×C4—5842no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4D4×D7311yescharacteristic
1430C22×C4D4×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—22no—
1433Q16—2921no—
1434SD16—22no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16#1192402814yescomplemented
1442D8—22no—
1443D8—2921no—
1444D8—2921no—
1445D8—2921no—
1446D8—1462no—
1447D8—1462no—
1448M16—2921no—
1449M16—1462no—
1450C2×C8—22no—
1451C2×C8—41no—
1452C2×C8—2921no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—731no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42D4×D7311yescharacteristic
1560C42D4×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—5841no—
1570C23—5841no—
1571C23—731no—
1572C23—731no—
1573C23—1461no—
1574C23—1461no—
1575C23—1461no—
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—2922no—
1581Q8—2921no—
1582Q8—2922no—
1583Q8—5841no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8C2×#1192402812yes—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—42no—
1591D4—42no—
1592D4—2922no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2921no—
1601D4—2922no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—1462no—
1609D4—1462no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4C2×#1192402812yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2921no—
1639C2×C4—2921no—
1640C2×C4—2921no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—1462no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8C2×#1192402812yes—
1679C22—21no—
1680C22—21no—
1681C22—22no—
1682C22—21no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—5844no—
1698C22—5844no—
1699C22—732no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—22no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—1461no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C22×#1192402811yescharacteristic
1729C4#1798942311yescharacteristic
1730C2—41no—
1731C2—42no—
1732C2—81no—
1733C2—2921no—
1734C2—5841no—
1735C2—5841no—
1736C2—5841no—
1737C2—1462no—
1738C2D4×#1192402811yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2943C2
socleC22×C73C23×D4
hypercenter#2943D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #22623541C2semidirect
2. #22623529C2semidirect
3. #22623020C2semidirect
4. #22622881C2semidirect
5. #22622700C2semidirect
6. #22622689C2semidirect
7. #22622472C2semidirect
8. #22622421C2semidirect
9. #22622333C2semidirect
10. #22622077C2semidirect
11. #22622047C2semidirect
12. #22621963C2semidirect
13. #22621933C2semidirect
14. #22621834C2semidirect
15. #22621782C2semidirect
16. #22621632C2semidirect
17. #22621471C2semidirect
18. #22621428C2semidirect
19. #22620656C2semidirect
20. #22620629C2semidirect
21. #22620625C2semidirect
22. #22620106C2semidirect
23. #22620082C2semidirect
24. #22620067C2semidirect
25. #22620046C2semidirect
26. #22620040C2semidirect
27. #22620020C2semidirect
28. #22618942C2semidirect
29. #22618736C2semidirect
30. #440×D73C2semidirect
31. C73×#2943C2semidirect
36. #17989320C22semidirect
37. #17989313C22semidirect
39. #17989305C22semidirect
48. #17989281C22semidirect
51. #17989256C22semidirect
53. #17989244C22semidirect
60. #17989134C22semidirect
65. #17989121C22semidirect
67. #17989119C22semidirect
70. C4×#11924029C22semidirect
73. C4×Q8×D73C22semidirect
77. #17988996C22semidirect
78. #17988995C22semidirect
79. #17988988C22semidirect
81. #17988973C22semidirect
82. #17988968C22semidirect
84. #17988950C22semidirect
85. #17988948C22semidirect
86. #17988947C22semidirect
87. #17988943C22semidirect
88. #17988940C22semidirect
89. #17988928C22semidirect
90. #17988926C22semidirect
91. #17988921C22semidirect
92. #17988919C22semidirect
94. #17988911C22semidirect
95. #17988911C22semidirect
96. #17988911C22semidirect
98. #17988907C22semidirect
99. #17988904C22semidirect
100. #17988899C22semidirect
101. #17988897C22semidirect
102. #17988896C22semidirect
103. #17988894C22semidirect
104. #17988892C22semidirect
106. #17988886C22semidirect
107. #17988886C22semidirect
109. #17988876C22semidirect
111. #17988872C22semidirect
112. #17988867C22semidirect
113. #17988844C22semidirect
116. #17988830C22semidirect
118. #17988823C22semidirect
119. #17988823C22semidirect
121. #17988819C22semidirect
122. #17988816C22semidirect
123. #17988816C22semidirect
124. #17988813C22semidirect
125. #17988812C22semidirect
126. #17988811C22semidirect
127. #17988811C22semidirect
128. #17988809C22semidirect
129. #17988805C22semidirect
131. #17988801C22semidirect
135. #17988781C22semidirect
138. #17988748C22semidirect
139. #17988741C22semidirect
143. #17988732C22semidirect
144. #17988732C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
151. #17988700C22semidirect
152. #17988700C22semidirect
154. #17988697C22semidirect
155. #17988697C22semidirect
156. #17988692C22semidirect
157. #17988690C22semidirect
158. #17988689C22semidirect
159. #17988689C22semidirect
162. #17988686C22semidirect
163. #17988685C22semidirect
164. #17988685C22semidirect
165. #17988685C22semidirect
168. #17988672C22semidirect
169. #17988669C22semidirect
173. #17988658C22semidirect
174. #17988658C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988642C22semidirect
179. #17988642C22semidirect
180. #17988628C22semidirect
181. #107×D73C22semidirect
183. #17988587C22semidirect
184. #103×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
190. C4×#41×C73C22semidirect
193. #441×C73C22semidirect
194. #441×C73C22semidirect
197. #440×C73C22semidirect
198. #440×C73C22semidirect
199. #427×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#97×C73C22semidirect
660. SD16×C73#41semidirect
900. #2943D73semidirect
902. C73#61456semidirect
946. C4×#41C2×D73semidirect
1033. #441C2×D73semidirect
1034. #441C2×D73semidirect
1047. #440C2×D73semidirect
1048. #440C2×D73semidirect
1063. #427C2×D73semidirect
1068. #416C2×D73semidirect
1073. C2×#97C2×D73semidirect
1441. SD16#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235412
#226235292
#226230202
#226228812
#226227002
#226226892
#226224722
#226224212
#226223332
#226220772
#226220472
#226219632
#226219332
#226218342
#226217822
#226216322
#226214712
#226214282
#226206562
#226206292
#226206252
#226201062
#226200822
#226200672
#226200462
#226200402
#226200202
#226189422
#226187362
#440×D732
C73×#29432
#6145673