Finite Group Databasebeta

← #33967968

Subgroups — #33967968

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623535C211yesmaximal, characteristic, complemented
2#22623489C211yesmaximal, characteristic, complemented
3#22623002C211yesmaximal, characteristic, complemented
4#22622890C211yesmaximal, characteristic, complemented
5#22622759C211yesmaximal, characteristic, complemented
6#22622689C211yesmaximal, characteristic, complemented
7#22622436C211yesmaximal, characteristic, complemented
8#22622382C211yesmaximal, characteristic, complemented
9#22622306C211yesmaximal, characteristic, complemented
10#22622092C211yesmaximal, characteristic, complemented
11#22622008C211yesmaximal, characteristic, complemented
12#22621948C211yesmaximal, characteristic, complemented
13#22621912C211yesmaximal, characteristic, complemented
14#22621777C211yesmaximal, characteristic, complemented
15#22621762C211yesmaximal, characteristic, complemented
16#22621616C211yesmaximal, characteristic, complemented
17#22621458C211yesmaximal, characteristic, complemented
18#22621411C211yesmaximal, characteristic, complemented
19#22620658C211yesmaximal, characteristic, complemented
20#22620640C211yesmaximal, characteristic, complemented
21#22620627C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620069C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620036C211yesmaximal, characteristic, complemented
26#22620036C211yesmaximal, characteristic, complemented
27#22620030C211yesmaximal, characteristic, complemented
28#22618942C211yesmaximal, characteristic, complemented
29#22618742C211yesmaximal, characteristic, complemented
30#22618728C211yesmaximal, characteristic, complemented
31C2×#442×C73C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×#14556610C2211yescharacteristic
34#17989320C2211yescharacteristic, complemented
35#17989307C2211yescharacteristic, complemented
36#17989302C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989294C2211yescharacteristic, complemented
39#17989292C2211yescharacteristic
40#17989287C2211yescharacteristic, complemented
41#17989286—21no—
42#17989285C2211yescharacteristic
43#17989283—21no—
44#17989277—21no—
45#17989272C2211yescharacteristic
46#17989272C2211yescharacteristic, complemented
47#17989266—21no—
48#17989263—21no—
49#17989263—21no—
50#17989263—21no—
51#17989241C2211yescharacteristic, complemented
52#17989232C2211yescharacteristic, complemented
53#17989231C2211yescharacteristic
54#17989231C2211yescharacteristic
55#17989231C2211yescharacteristic, complemented
56#17989227—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989144C2211yescharacteristic, complemented
59#17989134C2211yescharacteristic, complemented
60#17989121C2211yescharacteristic
61#17989119C2211yescharacteristic, complemented
62#17989119C2211yescharacteristic, complemented
63#17989119C2211yescharacteristic, complemented
64#17989117—21no—
65#17989117—21no—
66#17989117—21no—
67#17989098—21no—
68#17989098—21no—
69#17989096—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027C2211yescharacteristic, complemented
72C4×#11924027C2211yescharacteristic, complemented
73C4×#11924027C2211yescharacteristic, complemented
74C2×C4×C22⋊D73—21no—
75C4×D4×D73C2211yescharacteristic, complemented
76C2×#14556550—21no—
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988981C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic
82#17988970C2211yescharacteristic, complemented
83#17988956C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988917C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988909C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic
100#17988899C2211yescharacteristic, complemented
101#17988897C2211yescharacteristic, complemented
102#17988897C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988886C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic, complemented
109#17988871C2211yescharacteristic, complemented
110#17988867C2211yescharacteristic, complemented
111#17988867C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988846C2211yescharacteristic, complemented
114#17988837C2211yescharacteristic
115#17988832C2211yescharacteristic, complemented
116#17988832C2211yescharacteristic, complemented
117#17988828C2211yescharacteristic, complemented
118#17988828C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic, complemented
120#17988820C2211yescharacteristic, complemented
121#17988817C2211yescharacteristic, complemented
122#17988816C2211yescharacteristic
123#17988816C2211yescharacteristic
124#17988815C2211yescharacteristic, complemented
125#17988808C2211yescharacteristic, complemented
126#17988808C2211yescharacteristic, complemented
127#17988802C2211yescharacteristic, complemented
128#17988802C2211yescharacteristic, complemented
129#17988801C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic
131#17988800C2211yescharacteristic
132#17988800C2211yescharacteristic, complemented
133#17988792C2211yescharacteristic, complemented
134#17988792C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic
137#17988750C2211yescharacteristic, complemented
138#17988750C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988738C2211yescharacteristic
141#17988738C2211yescharacteristic
142#17988738C2211yescharacteristic, complemented
143#17988733C2211yescharacteristic, complemented
144#17988729C2211yescharacteristic
145#17988729C2211yescharacteristic
146#17988729C2211yescharacteristic, complemented
147#17988721C2211yescharacteristic
148#17988719C2211yescharacteristic
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988699C2211yescharacteristic
152#17988697C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic, complemented
154#17988695C2211yescharacteristic, complemented
155#17988695C2211yescharacteristic, complemented
156#17988693C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988687C2211yescharacteristic, complemented
161#17988687C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic
174#17988658C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic, complemented
181#17988622C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C22×D8×C73C2211yescharacteristic
189C2×C4×D4×C73C2211yescharacteristic
190C2×C4×D4×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic
193#442×C73C2211yescharacteristic
194#442×C73C2211yescharacteristic
195#442×C73C2211yescharacteristic, complemented
196#442×C73C2211yescharacteristic, complemented
197#442×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199C2×#106×C73C2211yescharacteristic, complemented
200C2×#102×C73C2211yescharacteristic
201C2×#102×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×C22⋊D73—21no—
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556615—24no—
212#14556610—24no—
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924011C2311yescharacteristic
226C2×#11924011C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228C2×C8×D73C2311yescharacteristic
229#14556591C2311yescharacteristic
230#14556591C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556587C2311yescharacteristic
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556585—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584—21no—
242#14556584—21no—
243#14556583—21no—
244#14556583C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556579C2311yescharacteristic
252#14556578C2311yescharacteristic
253#14556578C2311yescharacteristic
254#14556578C2311yescharacteristic
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556576—21no—
260#14556575—21no—
261#14556575—21no—
262#14556575—21no—
263#14556574—21no—
264#14556574—21no—
265#14556574—21no—
266#14556574—21no—
267#14556574—21no—
268#14556573—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556572—21no—
273#14556572—21no—
274#14556572—21no—
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556566C2311yescharacteristic
292#14556565—21no—
293#14556565—21no—
294#14556565—21no—
295#14556565—21no—
296#14556565C2311yescharacteristic
297#14556564—21no—
298#14556564—21no—
299#14556563—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556562C2311yescharacteristic
304#14556562C2311yescharacteristic
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556561—21no—
308#14556560—21no—
309#14556560—21no—
310#14556560—21no—
311#14556560—21no—
312#14556559—21no—
313C4×Dic146—21no—
314C4×Dic146D411yescharacteristic
315C4×Dic146C2311yescharacteristic
316C4×Dic146C2311yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322C4×D292D411yescharacteristic
323C4×D292C2311yescharacteristic
324C4×D292C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328D4×Dic73C2311yescharacteristic
329#14556553C2311yescharacteristic
330C4×C22⋊D73—21no—
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337C4×C22⋊D73—21no—
338C4×C22⋊D73—21no—
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73D411yescharacteristic
344C4×C22⋊D73D411yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346C4×C22⋊D73C2311yescharacteristic
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556550—21no—
352#14556550—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550—21no—
356#14556550—21no—
357#14556550—21no—
358#14556550—21no—
359#14556550D411yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548D411yescharacteristic
365#14556548D411yescharacteristic
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369C2×C4⋊Dic73—21no—
370C2×C4⋊Dic73—21no—
371C2×#11924007—21no—
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×C22⋊Dic73—21no—
375C2×C22⋊Dic73—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C42×D73C2311yescharacteristic
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
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
437C22×D4×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C23×C4×C73—21no—
441C2×D8×C73—24no—
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C22⋊C4×C73—21no—
463C2×C22⋊C4×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×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#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—42no—
483#11924028—82no—
484#11924027—22no—
485#11924027—22no—
486#11924027—22no—
487#11924027—41no—
488#11924027—41no—
489#11924027—41no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—21no—
497C2×D292C2×D411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—44no—
511C2×C22⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513D4×D73—22no—
514D4×D73—41no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—82no—
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532Dic292—22no—
533Dic292—41no—
534#11924017—22no—
535#11924017—41no—
536#11924016—22no—
537#11924016—22no—
538#11924016—22no—
539#11924016—41no—
540#11924016—41no—
541#11924016—41no—
542#11924013—22no—
543#11924013—41no—
544#11924011—22no—
545#11924011—41no—
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C8×D73—22no—
551C8×D73—41no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
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#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73C2×D411yescharacteristic
605C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73C2×D411yescharacteristic
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C24×C73—21no—
638C24×C73—21no—
639C2×D4×C73—22no—
640C2×D4×C73—22no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—41no—
644C2×D4×C73—41no—
645C2×D4×C73C2411yescharacteristic
646C2×D4×C73C2411yescharacteristic
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×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73—44no—
660C22×C4×C73—82no—
661C22×C4×C73C2×D411yescharacteristic
662C22×C4×C73C2×D411yescharacteristic
663C22×C4×C73C2411yescharacteristic
664D8×C73—22no—
665D8×C73—22no—
666D8×C73—22no—
667D8×C73#4114yescomplemented
668C2×C8×C73—22no—
669C2×C8×C73—41no—
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—21no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—81no—
701C23×C73—81no—
702C23×C73C22×D411yescharacteristic
703C22×D73—21no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73C2×#4112yes—
718D4×C73C2×#4112yes—
719C2×C4×C73—22no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—41no—
727C2×C4×C73—42no—
728C2×C4×C73—42no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73—81no—
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C2511yescharacteristic
743C22⋊D73—22no—
744C22⋊D73—22no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778D292—41no—
779D292—81no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—21no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—41no—
787C4×D73—41no—
788C4×D73—42no—
789C4×D73—81no—
790C4×D73—81no—
791Dic146—21no—
792Dic146—21no—
793Dic146—21no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—41no—
798Dic146—81no—
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—21no—
810C22×C73—22no—
811C22×C73—22no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—84no—
823C22×C73—84no—
824C22×C73#57512yes—
825C22×C73C23×D411yescharacteristic
826C2×D73—21no—
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73C22×#4111yescharacteristic
846C4×C73#58511yescharacteristic
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—42no—
863C2×C73—42no—
864C2×C73—81no—
865C2×C73—81no—
866C2×C73D4×#4111yescharacteristic
867C2×C73C2×#57511yescharacteristic
868C2×C73#358511yescharacteristic
869D73—41no—
870D73—41no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442D7311yescharacteristic, complemented
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8C2×D7311yescharacteristic
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
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—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—1461no—
949C2×C4×D4C2×D7311yescharacteristic
950C2×C4×D4C2×D7311yescharacteristic, complemented
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442C2×D7311yescharacteristic
1030#442C2×D7311yescharacteristic
1031#442C2×D7311yescharacteristic
1032#442C2×D7311yescharacteristic
1033#442C2×D7311yescharacteristic, complemented
1034#442C2×D7311yescharacteristic, complemented
1035#442C2×D7311yescharacteristic, complemented
1036#442C2×D7311yescharacteristic, complemented
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106C2×D7311yescharacteristic, complemented
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102C2×D7311yescharacteristic
1071C2×#102C2×D7311yescharacteristic, complemented
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97C2×D7311yescharacteristic, complemented
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—731no—
1079C2×#41—1461no—
1080C22×D4—731no—
1081C22×D4—1461no—
1082C22×D4C22×D7311yescharacteristic
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—21no—
1085C23×C4—21no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×D8—24no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8C22×D7311yescharacteristic
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—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#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
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#123—1461no—
1143#123—1461no—
1144#123—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—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
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#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
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—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
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×D4C22×D7311yescharacteristic
1239C4×D4C22×D7311yescharacteristic
1240C4×D4C22×D7311yescharacteristic
1241C4×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—1461no—
1266C2×C4⋊C4—1461no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4C22×D7311yescharacteristic
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106C22×D7311yescharacteristic
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—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#102C22×D7311yescharacteristic
1330#102C22×D7311yescharacteristic
1331#102C22×D7311yescharacteristic
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97C22×D7311yescharacteristic
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—21no—
1354C24—21no—
1355C24—1461no—
1356#41—2922no—
1357#41—2921no—
1358#41—2921no—
1359#41—2921no—
1360#41—5842no—
1361#41—1462no—
1362#41—1462no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—731no—
1367C2×Q8—731no—
1368C2×Q8—1461no—
1369C2×Q8—1461no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—2924no—
1377C2×D4—2921no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
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—1462no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4C23×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—44no—
1410C22×C4—82no—
1411C22×C4—5842no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—731no—
1415C22×C4—731no—
1416C22×C4—731no—
1417C22×C4—731no—
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×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—2921no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—22no—
1443D8—22no—
1444D8—2921no—
1445D8—1462no—
1446D8#1192402814yescomplemented
1447M16—2921no—
1448M16—1462no—
1449C2×C8—22no—
1450C2×C8—41no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
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⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
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—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—2922no—
1575C23—2922no—
1576C23—5841no—
1577C23—731no—
1578C23—731no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—2921no—
1582Q8—5841no—
1583Q8—5841no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8—1461no—
1587Q8—1461no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—42no—
1597D4—42no—
1598D4—2921no—
1599D4—2922no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—5841no—
1611D4—1462no—
1612D4—1462no—
1613D4—1461no—
1614D4—1461no—
1615D4C2×#1192402812yes—
1616D4C2×#1192402812yes—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—41no—
1625C2×C4—42no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—81no—
1634C2×C4—81no—
1635C2×C4—2922no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2921no—
1639C2×C4—2921no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—2922no—
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—1461no—
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×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8C2×#1192402812yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—84no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—5844no—
1700C22—1461no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22#1798938312yes—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C22×#1192402811yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—22no—
1733C2—42no—
1734C2—42no—
1735C2—81no—
1736C2—81no—
1737C2—2921no—
1738C2—2921no—
1739C2—5841no—
1740C2D4×#1192402811yescharacteristic
1741C2C2×#1798938311yescharacteristic
1742C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#442×C73C2
socleC22×C73C23×D4
hypercenterC2×#442D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #22623535C2semidirect
2. #22623489C2semidirect
3. #22623002C2semidirect
4. #22622890C2semidirect
5. #22622759C2semidirect
6. #22622689C2semidirect
7. #22622436C2semidirect
8. #22622382C2semidirect
9. #22622306C2semidirect
10. #22622092C2semidirect
11. #22622008C2semidirect
12. #22621948C2semidirect
13. #22621912C2semidirect
14. #22621777C2semidirect
15. #22621762C2semidirect
16. #22621616C2semidirect
17. #22621458C2semidirect
18. #22621411C2semidirect
19. #22620658C2semidirect
20. #22620640C2semidirect
21. #22620627C2semidirect
22. #22620078C2semidirect
23. #22620069C2semidirect
24. #22620067C2semidirect
25. #22620036C2semidirect
26. #22620036C2semidirect
27. #22620030C2semidirect
28. #22618942C2semidirect
29. #22618742C2semidirect
30. #22618728C2semidirect
31. C2×#442×C73C2semidirect
34. #17989320C22semidirect
35. #17989307C22semidirect
36. #17989302C22semidirect
37. #17989296C22semidirect
38. #17989294C22semidirect
40. #17989287C22semidirect
46. #17989272C22semidirect
51. #17989241C22semidirect
52. #17989232C22semidirect
55. #17989231C22semidirect
58. #17989144C22semidirect
59. #17989134C22semidirect
61. #17989119C22semidirect
62. #17989119C22semidirect
63. #17989119C22semidirect
71. C4×#11924027C22semidirect
72. C4×#11924027C22semidirect
73. C4×#11924027C22semidirect
75. C4×D4×D73C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988987C22semidirect
80. #17988981C22semidirect
82. #17988970C22semidirect
83. #17988956C22semidirect
84. #17988950C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988940C22semidirect
88. #17988940C22semidirect
89. #17988931C22semidirect
90. #17988931C22semidirect
91. #17988922C22semidirect
92. #17988922C22semidirect
93. #17988919C22semidirect
94. #17988917C22semidirect
95. #17988913C22semidirect
96. #17988910C22semidirect
97. #17988910C22semidirect
98. #17988909C22semidirect
100. #17988899C22semidirect
101. #17988897C22semidirect
102. #17988897C22semidirect
103. #17988889C22semidirect
104. #17988889C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
107. #17988886C22semidirect
108. #17988885C22semidirect
109. #17988871C22semidirect
110. #17988867C22semidirect
111. #17988867C22semidirect
112. #17988865C22semidirect
113. #17988846C22semidirect
115. #17988832C22semidirect
116. #17988832C22semidirect
117. #17988828C22semidirect
118. #17988828C22semidirect
119. #17988822C22semidirect
120. #17988820C22semidirect
121. #17988817C22semidirect
124. #17988815C22semidirect
125. #17988808C22semidirect
126. #17988808C22semidirect
127. #17988802C22semidirect
128. #17988802C22semidirect
129. #17988801C22semidirect
132. #17988800C22semidirect
133. #17988792C22semidirect
134. #17988792C22semidirect
135. #17988786C22semidirect
137. #17988750C22semidirect
138. #17988750C22semidirect
139. #17988739C22semidirect
142. #17988738C22semidirect
143. #17988733C22semidirect
146. #17988729C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
152. #17988697C22semidirect
153. #17988697C22semidirect
154. #17988695C22semidirect
155. #17988695C22semidirect
156. #17988693C22semidirect
157. #17988689C22semidirect
158. #17988689C22semidirect
159. #17988687C22semidirect
160. #17988687C22semidirect
161. #17988687C22semidirect
162. #17988687C22semidirect
163. #17988687C22semidirect
164. #17988687C22semidirect
165. #17988684C22semidirect
166. #17988684C22semidirect
167. #17988678C22semidirect
168. #17988674C22semidirect
170. #17988667C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988642C22semidirect
179. #17988642C22semidirect
180. #17988626C22semidirect
181. #17988622C22semidirect
182. #17988590C22semidirect
183. #17988585C22semidirect
184. #17988580C22semidirect
185. #17988580C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
190. C2×C4×D4×C73C22semidirect
195. #442×C73C22semidirect
196. #442×C73C22semidirect
197. #442×C73C22semidirect
198. #442×C73C22semidirect
199. C2×#106×C73C22semidirect
201. C2×#102×C73C22semidirect
202. C2×#97×C73C22semidirect
667. D8×C73#41semidirect
902. C2×#442D73semidirect
903. C73#61454semidirect
950. C2×C4×D4C2×D73semidirect
1033. #442C2×D73semidirect
1034. #442C2×D73semidirect
1035. #442C2×D73semidirect
1036. #442C2×D73semidirect
1065. C2×#106C2×D73semidirect
1071. C2×#102C2×D73semidirect
1074. C2×#97C2×D73semidirect
1446. D8#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235352
#226234892
#226230022
#226228902
#226227592
#226226892
#226224362
#226223822
#226223062
#226220922
#226220082
#226219482
#226219122
#226217772
#226217622
#226216162
#226214582
#226214112
#226206582
#226206402
#226206272
#226200782
#226200692
#226200672
#226200362
#226200302
#226189422
#226187422
#226187282
C2×#442×C732
#6145473