Finite Group Databasebeta

← #33967894

Subgroups — #33967894

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623538C211yesmaximal, characteristic, complemented
2D4×#11924027C211yesmaximal, characteristic, complemented
3#22622976C211yesmaximal, characteristic, complemented
4#22622833C211yesmaximal, characteristic, complemented
5#22622724C211yesmaximal, characteristic, complemented
6#22622635C211yesmaximal, characteristic, complemented
7#22622404C211yesmaximal, characteristic, complemented
8#22622395C211yesmaximal, characteristic, complemented
9#22622286C211yesmaximal, characteristic, complemented
10#22622073C211yesmaximal, characteristic, complemented
11#22621894C211yesmaximal, characteristic, complemented
12#22621887C211yesmaximal, characteristic, complemented
13#22621751C211yesmaximal, characteristic, complemented
14#22621739C211yesmaximal, characteristic, complemented
15#22621601C211yesmaximal, characteristic, complemented
16#22621409C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22620664C211yesmaximal, characteristic, complemented
19#22620628C211yesmaximal, characteristic, complemented
20#22620624C211yesmaximal, characteristic, complemented
21#22620077C211yesmaximal, characteristic, complemented
22#22620074C211yesmaximal, characteristic, complemented
23#22620064C211yesmaximal, characteristic, complemented
24#22620021C211yesmaximal, characteristic, complemented
25#22620019C211yesmaximal, characteristic, complemented
26#22620017C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618735C211yesmaximal, characteristic, complemented
29C2×#17988696C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3318C211yesmaximal, characteristic, complemented
32C22×#11924027—21no—
33C2×#14556617C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35C2×D8×D73C2211yescharacteristic
36#17989320C2211yescharacteristic, complemented
37#17989293C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989282—21no—
40#17989281C2211yescharacteristic, complemented
41#17989266—21no—
42#17989262—21no—
43#17989257C2211yescharacteristic, complemented
44D4×Dic146C2211yescharacteristic, complemented
45#17989243—21no—
46#17989241C2211yescharacteristic, complemented
47#17989237C2211yescharacteristic
48#17989237C2211yescharacteristic, complemented
49#17989234C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic, complemented
51#17989231—21no—
52#17989226—21no—
53#17989224—21no—
54#17989224—21no—
55#17989221C2211yescharacteristic, complemented
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic, complemented
58#17989135C2211yescharacteristic, complemented
59#17989132C2211yescharacteristic, complemented
60#17989132C2211yescharacteristic, complemented
61#17989132C2211yescharacteristic, complemented
62#17989122C2211yescharacteristic, complemented
63#17989120—21no—
64#17989118C2211yescharacteristic, complemented
65#17989097—21no—
66#17989097—21no—
67#17989095—21no—
68#17989093—21no—
69#17989093—21no—
70#17989055C2211yescharacteristic, complemented
71C4×#11924027C2211yescharacteristic
72C2×D4×Dic73C2211yescharacteristic, complemented
73C2×D4×Dic73C2211yescharacteristic, complemented
74C2×#14556553C2211yescharacteristic, complemented
75C4×D4×D73—21no—
76C4×D4×D73C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic, complemented
78#17988997C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988911C2211yescharacteristic, complemented
92#17988906C2211yescharacteristic, complemented
93#17988905C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988877C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988866C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic
129#17988780C2211yescharacteristic, complemented
130#17988779C2211yescharacteristic, complemented
131#17988739C2211yescharacteristic, complemented
132#17988738C2211yescharacteristic, complemented
133#17988734C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988723C2211yescharacteristic, complemented
136#17988722C2211yescharacteristic
137#17988721C2211yescharacteristic, complemented
138#17988720C2211yescharacteristic, complemented
139#17988719C2211yescharacteristic, complemented
140#17988719C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988699C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic, complemented
147#17988698C2211yescharacteristic, complemented
148#17988698C2211yescharacteristic, complemented
149#17988697C2211yescharacteristic
150#17988697C2211yescharacteristic, complemented
151#17988696C2211yescharacteristic
152#17988696C2211yescharacteristic
153#17988696C2211yescharacteristic, complemented
154#17988696C2211yescharacteristic, complemented
155#17988696C2211yescharacteristic, complemented
156#17988696C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988678C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179C2×#14556522C2211yescharacteristic, complemented
180#106×D73C2211yescharacteristic, complemented
181#17988589C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—48no—
213C2×#11924027D411yescharacteristic
214C22×Dic146—21no—
215C22×D292C2311yescharacteristic
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C23×Dic73—21no—
222C23×Dic73—21no—
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226#14556617—24no—
227C2×#11924017C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×D584C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×#11924013—24no—
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241D8×D73—24no—
242C2×#11924012C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556590C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556587C2311yescharacteristic
253#14556586—21no—
254#14556585—21no—
255#14556584—21no—
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556579C2311yescharacteristic
259#14556578—21no—
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572—21no—
278#14556571—21no—
279#14556571—21no—
280#14556571C2311yescharacteristic
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556566C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556563—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556562—21no—
306#14556562—21no—
307#14556562—21no—
308#14556562C2311yescharacteristic
309#14556562C2311yescharacteristic
310#14556561—21no—
311#14556560—21no—
312#14556560—21no—
313#14556559—21no—
314#14556559—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318C4×Dic146C2311yescharacteristic
319#14556556D411yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322C4×D292—21no—
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325D4×Dic73—21no—
326D4×Dic73—21no—
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73D411yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73C2311yescharacteristic
354C4×C22⋊D73C2311yescharacteristic
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551D411yescharacteristic
363#14556551D411yescharacteristic
364#14556549—21no—
365#14556549D411yescharacteristic
366#14556548—21no—
367#14556547—21no—
368#14556547D411yescharacteristic
369#14556547D411yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C2×C4⋊Dic73C2311yescharacteristic
372C4⋊C4×D73—21no—
373C4⋊C4×D73C2311yescharacteristic
374C4⋊C4×D73C2311yescharacteristic
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73—21no—
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C22×D4×C73—21no—
440C22×D4×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#126×C73—21no—
449#125×C73C2311yescharacteristic
450#123×C73—21no—
451#121×C73—21no—
452#121×C73—21no—
453#121×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457#120×C73—21no—
458#120×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464C2×C4⋊C4×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484C23×D73—21no—
485#11924028—22no—
486#11924028—41no—
487#11924027—24no—
488#11924027—44no—
489#11924027—44no—
490#11924027—44no—
491#11924027—44no—
492#11924027—44no—
493#11924027—44no—
494#11924027—44no—
495#11924027—82no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—44no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×D292—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—44no—
525C2×C22⋊D73—44no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528D4×D73—22no—
529D4×D73—22no—
530D4×D73—41no—
531D4×D73—41no—
532D4×D73—44no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C22×Dic73—44no—
544C22×Dic73—44no—
545C22×Dic73C2×D411yescharacteristic
546C22×Dic73C2×D411yescharacteristic
547C22×Dic73C2×D411yescharacteristic
548C22×Dic73C2×D411yescharacteristic
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—44no—
561C2×C4×D73—82no—
562C2×C4×D73—82no—
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566#11924017—41no—
567#11924016—22no—
568#11924016—22no—
569#11924016—41no—
570D584—22no—
571D584—41no—
572#11924013—22no—
573#11924013—22no—
574#11924013—22no—
575#11924013—22no—
576#11924013—22no—
577#11924013—41no—
578#11924013#4114yescomplemented
579#11924012—22no—
580C2×#10596831—22no—
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C8×D73—22no—
586C8×D73—41no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73C2×D411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595C4⋊Dic73C2411yescharacteristic
596C4⋊Dic73C2411yescharacteristic
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C24×C73—21no—
654C24×C73—21no—
655C2×D4×C73—22no—
656C2×D4×C73—22no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—41no—
666C2×D4×C73—41no—
667C2×D4×C73—44no—
668C2×D4×C73C2×D411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73C2411yescharacteristic
677C22×C4×C73C2411yescharacteristic
678D8×C73—22no—
679D8×C73—41no—
680D8×C73—41no—
681M16×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—42no—
713C23×C73—42no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73C22×D411yescharacteristic
717C23×C73C22×D411yescharacteristic
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—21no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—42no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73C22×D411yescharacteristic
731D4×C73—22no—
732D4×C73—21no—
733D4×C73—21no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—42no—
740D4×C73—42no—
741D4×C73—42no—
742D4×C73—42no—
743D4×C73—42no—
744D4×C73—42no—
745D4×C73—81no—
746D4×C73—81no—
747D4×C73C2×#4112yes—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—42no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C2511yescharacteristic
764C22⋊D73—22no—
765C22⋊D73—42no—
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73AGL(1,ℤ/8)14yescomplemented
780C2×Dic73—22no—
781C2×Dic73—22no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—41no—
788C2×Dic73—41no—
789C2×Dic73—42no—
790C2×Dic73—42no—
791C2×Dic73—42no—
792C2×Dic73—42no—
793C2×Dic73—42no—
794C2×Dic73—42no—
795C2×Dic73—42no—
796C2×Dic73—42no—
797C2×Dic73—42no—
798C2×Dic73—42no—
799C2×Dic73C22×D411yescharacteristic
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805C2×Dic73C22×D411yescharacteristic
806D292—21no—
807D292—21no—
808D292—21no—
809D292—21no—
810D292—21no—
811D292—42no—
812D292—42no—
813D292C2×#4112yescomplemented
814C4×D73—22no—
815C4×D73—21no—
816C4×D73—21no—
817C4×D73—41no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—42no—
822C4×D73—42no—
823C4×D73—42no—
824C4×D73—42no—
825C4×D73—81no—
826C4×D73—81no—
827C4×D73—81no—
828C4×D73—81no—
829Dic146—22no—
830Dic146—21no—
831Dic146—21no—
832Dic146—42no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836C8×C73—21no—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73—21no—
840#10596831—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831C2×#4112yescomplemented
844C22×C73—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—21no—
848C22×C73—22no—
849C22×C73—21no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—84no—
862C22×C73—84no—
863C22×C73C2×AGL(1,ℤ/8)12yes—
864C22×C73C23×D411yescharacteristic
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—22no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—84no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73C2×AGL(1,ℤ/8)12yes—
880C4×C73—21no—
881C4×C73—21no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—41no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73C22×#4111yescharacteristic
889C4×C73#58511yescharacteristic
890Dic73—21no—
891Dic73—21no—
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—41no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73C2×AGL(1,ℤ/8)12yes—
902#61451—731nomaximal, Sylow
903C2×C73—22no—
904C2×C73—42no—
905C2×C73—41no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73—81no—
909C2×C73D4×#4111yescharacteristic
910C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
911C2×C73#358511yescharacteristic
912D73—22no—
913D73—42no—
914D73—81no—
915D73—81no—
916#3481—731no—
917D4×#41—731no—
918#3399—731no—
919#3384—731no—
920#3373—731no—
921#3366—731no—
922#3345—731no—
923#3345—731no—
924#3335—731no—
925#3318—731no—
926#3318D7311yescharacteristic, complemented
927#3306—731no—
928#3306—731no—
929#3295—731no—
930#3294—731no—
931D4×D8—731no—
932#3264—731no—
933#3264—731no—
934#3184—731no—
935#3180—731no—
936#3180—731no—
937#3115—731no—
938#3114—731no—
939#3114—731no—
940#3109—731no—
941#3109—731no—
942#3109—731no—
943#2970—731no—
944C4×AGL(1,ℤ/8)—731no—
945C2×#442—731no—
946C2×#442—731no—
947C73#6145111yescharacteristic, complemented, Sylow
948C22×#41—1461no—
949C2×AGL(1,ℤ/8)—731no—
950C22×D8—731no—
951C22×D8—731no—
952#559—731no—
953#554—731no—
954#554—731no—
955#553—731no—
956#553—1461no—
957#553C2×D7311yescharacteristic, complemented
958#551—1461no—
959#551—1461no—
960#550—731no—
961D4×Q8—731no—
962#548—1461no—
963#547—731no—
964#547—731no—
965#547—731no—
966#546—731no—
967#546—731no—
968#546—1461no—
969#546—1461no—
970#546—1461no—
971#546—1461no—
972D42—731no—
973D42—731no—
974D42—731no—
975D42C2×D7311yescharacteristic, complemented
976#532—731no—
977#532—731no—
978#532—731no—
979#532—731no—
980#529—731no—
981#529—731no—
982#529—1461no—
983#525—1461no—
984#525—1461no—
985#525—1461no—
986#525—1461no—
987#525—1461no—
988C4×#41—731no—
989C4×#41—731no—
990C2×C4×D4—731no—
991C2×C4×D4—731no—
992C2×C4×D4—731no—
993C2×C4×D4—731no—
994C2×C4×D4—731no—
995C2×C4×D4—1461no—
996#501—731no—
997#501—731no—
998#498—731no—
999#496—731no—
1000#496—731no—
1001#493—731no—
1002#490—731no—
1003#490C2×D7311yescharacteristic, complemented
1004#489—731no—
1005#489—731no—
1006#486—731no—
1007#486—731no—
1008#483—731no—
1009#483—731no—
1010#482—731no—
1011#482C2×D7311yescharacteristic, complemented
1012#481—731no—
1013#481—731no—
1014#481—731no—
1015#481—731no—
1016#481—731no—
1017#481C2×D7311yescharacteristic, complemented
1018#480—731no—
1019#480—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#478C2×D7311yescharacteristic, complemented
1024#476—731no—
1025#476—731no—
1026#476—731no—
1027#476—731no—
1028#476—731no—
1029#476—731no—
1030#475—731no—
1031#474—731no—
1032#469—731no—
1033#469—731no—
1034#469—731no—
1035#469C2×D7311yescharacteristic, complemented
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#466C2×D7311yescharacteristic, complemented
1040#465—731no—
1041#465—731no—
1042#465—731no—
1043#465—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#460—731no—
1049#459—731no—
1050#459—731no—
1051#459—731no—
1052#459—731no—
1053#459—731no—
1054#459—731no—
1055#459C2×D7311yescharacteristic, complemented
1056#450—731no—
1057#450—731no—
1058#449—731no—
1059#449—731no—
1060#447—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#447C2×D7311yescharacteristic
1067#447C2×D7311yescharacteristic, complemented
1068#446—731no—
1069#446—731no—
1070#442—731no—
1071#442—731no—
1072#442—731no—
1073#442—731no—
1074#442—731no—
1075#442—731no—
1076#442—731no—
1077#442—731no—
1078#442—731no—
1079#442—731no—
1080#442—731no—
1081#442—731no—
1082#442—731no—
1083#442—731no—
1084#442—731no—
1085#442—731no—
1086#442—731no—
1087#442—731no—
1088#442—731no—
1089#442C2×D7311yescharacteristic, complemented
1090#440—731no—
1091#440—731no—
1092#440—731no—
1093#440—731no—
1094C4×SD16—731no—
1095C4×SD16—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098#435—731no—
1099#435—731no—
1100#435—731no—
1101#435C2×D7311yescharacteristic, complemented
1102C8×D4—731no—
1103C8×D4—731no—
1104#432—731no—
1105#432—731no—
1106#432—731no—
1107#428—731no—
1108C2×#106—731no—
1109C2×#106—731no—
1110#418C2×D7311yescharacteristic, complemented
1111#417—731no—
1112C2×#102—731no—
1113C2×#102—731no—
1114C2×#102—731no—
1115C2×#102C2×D7311yescharacteristic, complemented
1116C4×M16—731no—
1117C2×#97—731no—
1118C2×#97—731no—
1119C2×#41—2928no—
1120C2×#41—731no—
1121C2×#41—731no—
1122C2×#41—1461no—
1123C2×#41—1461no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×Q8—1461no—
1131C22×D4—21no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C22×D4—1461no—
1138C22×D4C22×D7311yescharacteristic
1139C22×D4C22×D7311yescharacteristic
1140C23×C4—1461no—
1141C23×C4—1461no—
1142C23×C4—1461no—
1143C23×C4—1461no—
1144C23×C4—1461no—
1145AGL(1,ℤ/8)—1464no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×D8—731no—
1151C2×D8—731no—
1152C2×D8—731no—
1153C2×D8—731no—
1154C2×D8—731no—
1155C2×D8—731no—
1156C2×D8—731no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—1464no—
1160C2×D8—1464no—
1161C2×D8C22×D7311yescharacteristic
1162C2×D8C22×D7311yescharacteristic
1163C2×D8C22×D7311yescharacteristic
1164C2×M16—731no—
1165C2×M16C22×D7311yescharacteristic
1166C22×C8—731no—
1167C22×C8—731no—
1168C22×C8—731no—
1169C22×C8C22×D7311yescharacteristic
1170C4⋊Q8—731no—
1171C4⋊Q8—731no—
1172C4⋊Q8—731no—
1173C4⋊Q8—731no—
1174#127—731no—
1175#127—731no—
1176#127—731no—
1177#127C22×D7311yescharacteristic
1178#126—21no—
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#125—731no—
1183#125—1461no—
1184#125C22×D7311yescharacteristic
1185#124—731no—
1186#124—731no—
1187#124—1461no—
1188#124—1461no—
1189#124—1461no—
1190#124—1461no—
1191#124—1461no—
1192#123—21no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219#121—21no—
1220#121—21no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—731no—
1226#121—731no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121C22×D7311yescharacteristic
1241#121C22×D7311yescharacteristic
1242#121C22×D7311yescharacteristic
1243#121C22×D7311yescharacteristic
1244#120—21no—
1245#120—21no—
1246#120—1461no—
1247#120—1461no—
1248#120—1461no—
1249#120—1461no—
1250#120—1461no—
1251#120—1461no—
1252#120—1461no—
1253#120—1461no—
1254C4×Q8—731no—
1255C4×Q8—731no—
1256C4×Q8—731no—
1257C4×Q8—731no—
1258C4×D4—21no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4C22×D7311yescharacteristic
1302C4×D4C22×D7311yescharacteristic
1303C4×D4C22×D7311yescharacteristic
1304#117—731no—
1305#117—731no—
1306#117—731no—
1307#117—1461no—
1308#117—1461no—
1309#117—1461no—
1310#117C22×D7311yescharacteristic
1311C2×C4⋊C4—731no—
1312C2×C4⋊C4—731no—
1313C2×C4⋊C4—731no—
1314C2×C4⋊C4—731no—
1315C2×C4⋊C4—1461no—
1316C2×C4⋊C4C22×D7311yescharacteristic
1317C2×C22⋊C4—1461no—
1318C2×C22⋊C4—1461no—
1319C2×C22⋊C4—1461no—
1320C2×C22⋊C4—1461no—
1321C2×C22⋊C4—1461no—
1322C2×C22⋊C4—1461no—
1323C2×C22⋊C4—1461no—
1324C2×C42—731no—
1325C2×C42—731no—
1326C2×C42—731no—
1327C2×C42—1461no—
1328#107—731no—
1329#107—731no—
1330#107—731no—
1331#107C22×D7311yescharacteristic
1332#106—731no—
1333#106—731no—
1334#106—731no—
1335#106—731no—
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106—731no—
1342#106C22×D7311yescharacteristic
1343#106C22×D7311yescharacteristic
1344C4⋊C8—731no—
1345C4⋊C8—731no—
1346C4⋊C8—731no—
1347C4⋊C8—731no—
1348C4⋊C8—731no—
1349C4⋊C8C22×D7311yescharacteristic
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102—731no—
1364#102—731no—
1365#102—731no—
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102C22×D7311yescharacteristic
1373#102C22×D7311yescharacteristic
1374#102C22×D7311yescharacteristic
1375#102C22×D7311yescharacteristic
1376#102C22×D7311yescharacteristic
1377#102C22×D7311yescharacteristic
1378#102C22×D7311yescharacteristic
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382C22⋊C8—731no—
1383C22⋊C8—731no—
1384C22⋊C8—731no—
1385C22⋊C8—731no—
1386C22⋊C8C22×D7311yescharacteristic
1387C22⋊C8C22×D7311yescharacteristic
1388#97—731no—
1389#97—731no—
1390#97—731no—
1391#97—731no—
1392#97—731no—
1393#97—731no—
1394#97—731no—
1395#97C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C24—21no—
1399C24—21no—
1400C24—1461no—
1401C24—1461no—
1402C24—1461no—
1403#41—2921no—
1404#41—2924no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2924no—
1409#41—2924no—
1410#41—2924no—
1411#41—5842no—
1412#41—1462no—
1413#41—1464no—
1414C2×Q8—2924no—
1415C2×Q8—731no—
1416C2×Q8—731no—
1417C2×Q8—1461no—
1418C2×Q8—1461no—
1419C2×Q8—1461no—
1420C2×Q8—1461no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—44no—
1434C2×D4—2921no—
1435C2×D4—2924no—
1436C2×D4—2924no—
1437C2×D4—2924no—
1438C2×D4—2921no—
1439C2×D4—2921no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—731no—
1445C2×D4—1461no—
1446C2×D4—1462no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1462no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1462no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4D4×D7311yescharacteristic
1465C2×D4C23×D7311yescharacteristic
1466C2×D4C23×D7311yescharacteristic
1467C2×D4C23×D7311yescharacteristic
1468C2×D4C23×D7311yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—2924no—
1473C22×C4—2924no—
1474C22×C4—2924no—
1475C22×C4—5842no—
1476C22×C4—5842no—
1477C22×C4—731no—
1478C22×C4—731no—
1479C22×C4—731no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—1461no—
1485C22×C4—1461no—
1486C22×C4—1461no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4C23×D7311yescharacteristic
1506C22×C4C23×D7311yescharacteristic
1507SD16—2921no—
1508SD16—2921no—
1509SD16—1462no—
1510SD16—1462no—
1511D8—22no—
1512D8—41no—
1513D8—41no—
1514D8—2921no—
1515D8—2921no—
1516D8—734no—
1517D8—1462no—
1518D8—1462no—
1519D8—1462no—
1520D8—1462no—
1521D8—1462no—
1522D8—1462no—
1523M16—41no—
1524M16—1462no—
1525C2×C8—41no—
1526C2×C8—2921no—
1527C2×C8—731no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—1462no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4D4×D7311yescharacteristic
1564C4⋊C4C23×D7311yescharacteristic
1565C4⋊C4C23×D7311yescharacteristic
1566C4⋊C4C23×D7311yescharacteristic
1567C4⋊C4C23×D7311yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—731no—
1576C22⋊C4—731no—
1577C22⋊C4—731no—
1578C22⋊C4—731no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4D4×D7311yescharacteristic
1608C22⋊C4D4×D7311yescharacteristic
1609C42—21no—
1610C42—731no—
1611C42—731no—
1612C42—731no—
1613C42—731no—
1614C42—731no—
1615C42—731no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—1461no—
1620C42—1461no—
1621C42C23×D7311yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—42no—
1627C23—42no—
1628C23—42no—
1629C23—42no—
1630C23—81no—
1631C23—81no—
1632C23—2922no—
1633C23—2922no—
1634C23—2922no—
1635C23—2922no—
1636C23—2922no—
1637C23—2922no—
1638C23—5841no—
1639C23—5841no—
1640C23—5841no—
1641C23—731no—
1642C23—1461no—
1643C23—1461no—
1644C23—1461no—
1645C23C2×D4×D7311yescharacteristic
1646C23C2×D4×D7311yescharacteristic
1647Q8—2922no—
1648Q8—2922no—
1649Q8—2922no—
1650Q8—5841no—
1651Q8—1462no—
1652Q8—1461no—
1653Q8—1461no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—42no—
1663D4—42no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—42no—
1668D4—81no—
1669D4—81no—
1670D4—2922no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—5841no—
1683D4—5841no—
1684D4—5841no—
1685D4—5841no—
1686D4—734no—
1687D4—732no—
1688D4—1462no—
1689D4—1461no—
1690D4—1461no—
1691D4—1461no—
1692D4—1461no—
1693D4—1461no—
1694D4#41×D7312yes—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—81no—
1705C2×C4—81no—
1706C2×C4—2922no—
1707C2×C4—2922no—
1708C2×C4—2921no—
1709C2×C4—2922no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2922no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2921no—
1725C2×C4—2921no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—1462no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1462no—
1744C2×C4—1462no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4C2×D4×D7311yescharacteristic
1748C2×C4C2×D4×D7311yescharacteristic
1749C2×C4C2×D4×D7311yescharacteristic
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C24×D7311yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—21no—
1756C8—732no—
1757C8—1461no—
1758C8—1461no—
1759C8—1461no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—22no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—84no—
1778C22—84no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—5844no—
1788C22—5844no—
1789C22—5844no—
1790C22—732no—
1791C22—1462no—
1792C22—1461no—
1793C22—1461no—
1794C22AGL(1,ℤ/8)×D7312yes—
1795C22C22×D4×D7311yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—2921no—
1805C4—2921no—
1806C4—2921no—
1807C4—2921no—
1808C4—2921no—
1809C4—732no—
1810C4—1461no—
1811C4—1461no—
1812C4—1461no—
1813C4—1461no—
1814C4—1461no—
1815C4—1461no—
1816C4C2×#41×D7311yescharacteristic
1817C4#1798942211yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—81no—
1824C2—2922no—
1825C2—5841no—
1826C2—5841no—
1827C2—1462no—
1828C2#2262341511yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1830C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3318C2
socleC22×C73C23×D4
hypercenter#3318D73
hypocenterC73#61451
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #22623538C2semidirect
2. D4×#11924027C2semidirect
3. #22622976C2semidirect
4. #22622833C2semidirect
5. #22622724C2semidirect
6. #22622635C2semidirect
7. #22622404C2semidirect
8. #22622395C2semidirect
9. #22622286C2semidirect
10. #22622073C2semidirect
11. #22621894C2semidirect
12. #22621887C2semidirect
13. #22621751C2semidirect
14. #22621739C2semidirect
15. #22621601C2semidirect
16. #22621409C2semidirect
17. #22621407C2semidirect
18. #22620664C2semidirect
19. #22620628C2semidirect
20. #22620624C2semidirect
21. #22620077C2semidirect
22. #22620074C2semidirect
23. #22620064C2semidirect
24. #22620021C2semidirect
25. #22620019C2semidirect
26. #22620017C2semidirect
27. #22618941C2semidirect
28. #22618735C2semidirect
29. C2×#17988696C2semidirect
30. #442×D73C2semidirect
31. C73×#3318C2semidirect
36. #17989320C22semidirect
37. #17989293C22semidirect
38. #17989292C22semidirect
40. #17989281C22semidirect
43. #17989257C22semidirect
44. D4×Dic146C22semidirect
46. #17989241C22semidirect
48. #17989237C22semidirect
49. #17989234C22semidirect
50. #17989233C22semidirect
55. #17989221C22semidirect
57. D4×C22⋊D73C22semidirect
58. #17989135C22semidirect
59. #17989132C22semidirect
60. #17989132C22semidirect
61. #17989132C22semidirect
62. #17989122C22semidirect
64. #17989118C22semidirect
70. #17989055C22semidirect
72. C2×D4×Dic73C22semidirect
73. C2×D4×Dic73C22semidirect
74. C2×#14556553C22semidirect
76. C4×D4×D73C22semidirect
77. C4×D4×D73C22semidirect
78. #17988997C22semidirect
79. #17988995C22semidirect
80. #17988984C22semidirect
81. #17988975C22semidirect
82. #17988974C22semidirect
83. #17988962C22semidirect
84. #17988950C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988919C22semidirect
90. #17988918C22semidirect
91. #17988911C22semidirect
92. #17988906C22semidirect
93. #17988905C22semidirect
94. #17988904C22semidirect
95. #17988904C22semidirect
96. #17988903C22semidirect
97. #17988902C22semidirect
98. #17988898C22semidirect
99. #17988889C22semidirect
100. #17988889C22semidirect
101. #17988884C22semidirect
102. #17988878C22semidirect
103. #17988877C22semidirect
104. #17988876C22semidirect
105. #17988876C22semidirect
106. #17988875C22semidirect
107. #17988875C22semidirect
108. #17988871C22semidirect
109. #17988866C22semidirect
110. #17988840C22semidirect
111. #17988838C22semidirect
112. #17988838C22semidirect
113. #17988822C22semidirect
114. #17988822C22semidirect
115. #17988821C22semidirect
116. #17988816C22semidirect
117. #17988815C22semidirect
118. #17988815C22semidirect
119. #17988814C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
122. #17988800C22semidirect
123. #17988800C22semidirect
124. #17988786C22semidirect
125. #17988781C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
129. #17988780C22semidirect
130. #17988779C22semidirect
131. #17988739C22semidirect
132. #17988738C22semidirect
133. #17988734C22semidirect
134. #17988730C22semidirect
135. #17988723C22semidirect
137. #17988721C22semidirect
138. #17988720C22semidirect
139. #17988719C22semidirect
140. #17988719C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
143. #17988700C22semidirect
144. #17988699C22semidirect
145. #17988699C22semidirect
146. #17988699C22semidirect
147. #17988698C22semidirect
148. #17988698C22semidirect
150. #17988697C22semidirect
153. #17988696C22semidirect
154. #17988696C22semidirect
155. #17988696C22semidirect
156. #17988696C22semidirect
157. #17988696C22semidirect
158. #17988696C22semidirect
159. #17988696C22semidirect
160. #17988696C22semidirect
161. #17988696C22semidirect
162. #17988686C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988684C22semidirect
166. #17988678C22semidirect
167. #17988678C22semidirect
169. #17988667C22semidirect
170. #17988661C22semidirect
171. #17988659C22semidirect
172. #17988656C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988643C22semidirect
176. #17988641C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. C2×#14556522C22semidirect
180. #106×D73C22semidirect
181. #17988589C22semidirect
182. C2×#14556513C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
188. #553×C73C22semidirect
189. D42×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
578. #11924013#41semidirect
779. C22⋊D73AGL(1,ℤ/8)semidirect
813. D292C2×#41semidirect
843. #10596831C2×#41semidirect
926. #3318D73semidirect
947. C73#61451semidirect
957. #553C2×D73semidirect
975. D42C2×D73semidirect
1003. #490C2×D73semidirect
1011. #482C2×D73semidirect
1017. #481C2×D73semidirect
1023. #478C2×D73semidirect
1035. #469C2×D73semidirect
1039. #466C2×D73semidirect
1055. #459C2×D73semidirect
1067. #447C2×D73semidirect
1089. #442C2×D73semidirect
1101. #435C2×D73semidirect
1110. #418C2×D73semidirect
1115. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235382
D4×#119240272
#226229762
#226228332
#226227242
#226226352
#226224042
#226223952
#226222862
#226220732
#226218942
#226218872
#226217512
#226217392
#226216012
#226214092
#226214072
#226206642
#226206282
#226206242
#226200772
#226200742
#226200642
#226200212
#226200192
#226200172
#226189412
#226187352
C2×#179886962
#442×D732
C73×#33182
#6145173